[1826] | 1 | !> @file plant_canopy_model_mod.f90 |
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[2000] | 2 | !------------------------------------------------------------------------------! |
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[1036] | 3 | ! This file is part of PALM. |
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| 4 | ! |
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[2000] | 5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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| 6 | ! terms of the GNU General Public License as published by the Free Software |
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| 7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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| 8 | ! version. |
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[1036] | 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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[1818] | 17 | ! Copyright 1997-2016 Leibniz Universitaet Hannover |
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[2000] | 18 | !------------------------------------------------------------------------------! |
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[1036] | 19 | ! |
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[257] | 20 | ! Current revisions: |
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[138] | 21 | ! ----------------- |
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[2008] | 22 | ! |
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[2025] | 23 | ! |
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[2008] | 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: plant_canopy_model_mod.f90 2025 2016-10-12 16:44:03Z gronemeier $ |
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| 27 | ! |
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[2025] | 28 | ! 2024 2016-10-12 16:42:37Z kanani |
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| 29 | ! Added missing lad_s initialization |
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| 30 | ! |
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[2012] | 31 | ! 2011 2016-09-19 17:29:57Z kanani |
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| 32 | ! Renamed canopy_heat_flux to pc_heating_rate, since the original meaning/ |
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| 33 | ! calculation of the quantity has changed, related to the urban surface model |
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| 34 | ! and similar future applications. |
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| 35 | ! |
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[2008] | 36 | ! 2007 2016-08-24 15:47:17Z kanani |
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[2007] | 37 | ! Added SUBROUTINE pcm_read_plant_canopy_3d for reading 3d plant canopy data |
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| 38 | ! from file (new case canopy_mode=read_from_file_3d) in the course of |
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| 39 | ! introduction of urban surface model, |
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| 40 | ! introduced variable ext_coef, |
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| 41 | ! resorted SUBROUTINEs to alphabetical order |
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[1827] | 42 | ! |
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[2001] | 43 | ! 2000 2016-08-20 18:09:15Z knoop |
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| 44 | ! Forced header and separation lines into 80 columns |
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| 45 | ! |
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[1961] | 46 | ! 1960 2016-07-12 16:34:24Z suehring |
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| 47 | ! Separate humidity and passive scalar |
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| 48 | ! |
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[1954] | 49 | ! 1953 2016-06-21 09:28:42Z suehring |
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| 50 | ! Bugfix, lad_s and lad must be public |
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| 51 | ! |
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[1827] | 52 | ! 1826 2016-04-07 12:01:39Z maronga |
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| 53 | ! Further modularization |
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| 54 | ! |
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[1722] | 55 | ! 1721 2015-11-16 12:56:48Z raasch |
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| 56 | ! bugfixes: shf is reduced in areas covered with canopy only, |
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| 57 | ! canopy is set on top of topography |
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| 58 | ! |
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[1683] | 59 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 60 | ! Code annotations made doxygen readable |
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| 61 | ! |
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[1485] | 62 | ! 1484 2014-10-21 10:53:05Z kanani |
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[1484] | 63 | ! Changes due to new module structure of the plant canopy model: |
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| 64 | ! module plant_canopy_model_mod now contains a subroutine for the |
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[1826] | 65 | ! initialization of the canopy model (pcm_init), |
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[1484] | 66 | ! limitation of the canopy drag (previously accounted for by calculation of |
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| 67 | ! a limiting canopy timestep for the determination of the maximum LES timestep |
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| 68 | ! in subroutine timestep) is now realized by the calculation of pre-tendencies |
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[1826] | 69 | ! and preliminary velocities in subroutine pcm_tendency, |
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| 70 | ! some redundant MPI communication removed in subroutine pcm_init |
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[1484] | 71 | ! (was previously in init_3d_model), |
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| 72 | ! unnecessary 3d-arrays lad_u, lad_v, lad_w removed - lad information on the |
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| 73 | ! respective grid is now provided only by lad_s (e.g. in the calculation of |
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| 74 | ! the tendency terms or of cum_lai_hf), |
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| 75 | ! drag_coefficient, lai, leaf_surface_concentration, |
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| 76 | ! scalar_exchange_coefficient, sec and sls renamed to canopy_drag_coeff, |
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| 77 | ! cum_lai_hf, leaf_surface_conc, leaf_scalar_exch_coeff, lsec and lsc, |
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| 78 | ! respectively, |
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| 79 | ! unnecessary 3d-arrays cdc, lsc and lsec now defined as single-value constants, |
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| 80 | ! USE-statements and ONLY-lists modified accordingly |
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[1341] | 81 | ! |
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| 82 | ! 1340 2014-03-25 19:45:13Z kanani |
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| 83 | ! REAL constants defined as wp-kind |
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| 84 | ! |
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[1321] | 85 | ! 1320 2014-03-20 08:40:49Z raasch |
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[1320] | 86 | ! ONLY-attribute added to USE-statements, |
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| 87 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 88 | ! kinds are defined in new module kinds, |
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| 89 | ! old module precision_kind is removed, |
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| 90 | ! revision history before 2012 removed, |
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| 91 | ! comment fields (!:) to be used for variable explanations added to |
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| 92 | ! all variable declaration statements |
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[153] | 93 | ! |
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[1037] | 94 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 95 | ! code put under GPL (PALM 3.9) |
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| 96 | ! |
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[139] | 97 | ! 138 2007-11-28 10:03:58Z letzel |
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| 98 | ! Initial revision |
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| 99 | ! |
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[138] | 100 | ! Description: |
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| 101 | ! ------------ |
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[1682] | 102 | !> 1) Initialization of the canopy model, e.g. construction of leaf area density |
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[1826] | 103 | !> profile (subroutine pcm_init). |
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[1682] | 104 | !> 2) Calculation of sinks and sources of momentum, heat and scalar concentration |
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[1826] | 105 | !> due to canopy elements (subroutine pcm_tendency). |
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[138] | 106 | !------------------------------------------------------------------------------! |
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[1682] | 107 | MODULE plant_canopy_model_mod |
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| 108 | |
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[1484] | 109 | USE arrays_3d, & |
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[1960] | 110 | ONLY: dzu, dzw, e, q, s, shf, tend, u, v, w, zu, zw |
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[138] | 111 | |
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[1484] | 112 | USE indices, & |
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| 113 | ONLY: nbgp, nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, & |
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| 114 | nz, nzb, nzb_s_inner, nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt |
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| 115 | |
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| 116 | USE kinds |
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| 117 | |
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| 118 | |
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| 119 | IMPLICIT NONE |
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| 120 | |
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| 121 | |
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[1682] | 122 | CHARACTER (LEN=20) :: canopy_mode = 'block' !< canopy coverage |
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[1484] | 123 | |
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[1682] | 124 | INTEGER(iwp) :: pch_index = 0 !< plant canopy height/top index |
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[1484] | 125 | INTEGER(iwp) :: & |
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[1682] | 126 | lad_vertical_gradient_level_ind(10) = -9999 !< lad-profile levels (index) |
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[1484] | 127 | |
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[1682] | 128 | LOGICAL :: calc_beta_lad_profile = .FALSE. !< switch for calc. of lad from beta func. |
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| 129 | LOGICAL :: plant_canopy = .FALSE. !< switch for use of canopy model |
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[1484] | 130 | |
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[1682] | 131 | REAL(wp) :: alpha_lad = 9999999.9_wp !< coefficient for lad calculation |
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| 132 | REAL(wp) :: beta_lad = 9999999.9_wp !< coefficient for lad calculation |
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| 133 | REAL(wp) :: canopy_drag_coeff = 0.0_wp !< canopy drag coefficient (parameter) |
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| 134 | REAL(wp) :: cdc = 0.0_wp !< canopy drag coeff. (abbreviation used in equations) |
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| 135 | REAL(wp) :: cthf = 0.0_wp !< canopy top heat flux |
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| 136 | REAL(wp) :: dt_plant_canopy = 0.0_wp !< timestep account. for canopy drag |
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[2007] | 137 | REAL(wp) :: ext_coef = 0.6_wp !< extinction coefficient |
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[1682] | 138 | REAL(wp) :: lad_surface = 0.0_wp !< lad surface value |
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| 139 | REAL(wp) :: lai_beta = 0.0_wp !< leaf area index (lai) for lad calc. |
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[1484] | 140 | REAL(wp) :: & |
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[1682] | 141 | leaf_scalar_exch_coeff = 0.0_wp !< canopy scalar exchange coeff. |
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[1484] | 142 | REAL(wp) :: & |
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[1682] | 143 | leaf_surface_conc = 0.0_wp !< leaf surface concentration |
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| 144 | REAL(wp) :: lsec = 0.0_wp !< leaf scalar exchange coeff. |
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| 145 | REAL(wp) :: lsc = 0.0_wp !< leaf surface concentration |
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[1484] | 146 | |
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| 147 | REAL(wp) :: & |
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[1682] | 148 | lad_vertical_gradient(10) = 0.0_wp !< lad gradient |
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[1484] | 149 | REAL(wp) :: & |
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[1682] | 150 | lad_vertical_gradient_level(10) = -9999999.9_wp !< lad-prof. levels (in m) |
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[1484] | 151 | |
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[1682] | 152 | REAL(wp), DIMENSION(:), ALLOCATABLE :: lad !< leaf area density |
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| 153 | REAL(wp), DIMENSION(:), ALLOCATABLE :: pre_lad !< preliminary lad |
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[1484] | 154 | |
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| 155 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
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[2011] | 156 | pc_heating_rate !< plant canopy heating rate |
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[1682] | 157 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: cum_lai_hf !< cumulative lai for heatflux calc. |
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| 158 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: lad_s !< lad on scalar-grid |
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[1484] | 159 | |
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| 160 | |
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| 161 | SAVE |
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| 162 | |
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| 163 | |
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[138] | 164 | PRIVATE |
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[1826] | 165 | |
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| 166 | ! |
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| 167 | !-- Public functions |
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| 168 | PUBLIC pcm_check_parameters, pcm_header, pcm_init, pcm_parin, pcm_tendency |
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[138] | 169 | |
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[1826] | 170 | ! |
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| 171 | !-- Public variables and constants |
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[2011] | 172 | PUBLIC pc_heating_rate, canopy_mode, cthf, dt_plant_canopy, lad, lad_s, & |
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[2007] | 173 | pch_index, plant_canopy |
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| 174 | |
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[1484] | 175 | |
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| 176 | |
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[1826] | 177 | INTERFACE pcm_check_parameters |
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| 178 | MODULE PROCEDURE pcm_check_parameters |
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| 179 | END INTERFACE pcm_check_parameters |
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| 180 | |
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| 181 | INTERFACE pcm_header |
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| 182 | MODULE PROCEDURE pcm_header |
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| 183 | END INTERFACE pcm_header |
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| 184 | |
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| 185 | INTERFACE pcm_init |
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| 186 | MODULE PROCEDURE pcm_init |
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| 187 | END INTERFACE pcm_init |
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[138] | 188 | |
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[1826] | 189 | INTERFACE pcm_parin |
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| 190 | MODULE PROCEDURE pcm_parin |
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[2007] | 191 | END INTERFACE pcm_parin |
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| 192 | |
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| 193 | INTERFACE pcm_read_plant_canopy_3d |
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| 194 | MODULE PROCEDURE pcm_read_plant_canopy_3d |
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| 195 | END INTERFACE pcm_read_plant_canopy_3d |
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[1826] | 196 | |
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| 197 | INTERFACE pcm_tendency |
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| 198 | MODULE PROCEDURE pcm_tendency |
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| 199 | MODULE PROCEDURE pcm_tendency_ij |
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| 200 | END INTERFACE pcm_tendency |
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[1484] | 201 | |
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| 202 | |
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[138] | 203 | CONTAINS |
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| 204 | |
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[1826] | 205 | |
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| 206 | !------------------------------------------------------------------------------! |
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| 207 | ! Description: |
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| 208 | ! ------------ |
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| 209 | !> Check parameters routine for plant canopy model |
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| 210 | !------------------------------------------------------------------------------! |
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| 211 | SUBROUTINE pcm_check_parameters |
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[138] | 212 | |
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[1826] | 213 | USE control_parameters, & |
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| 214 | ONLY: cloud_physics, message_string, microphysics_seifert |
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| 215 | |
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| 216 | |
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| 217 | IMPLICIT NONE |
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| 218 | |
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| 219 | |
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| 220 | IF ( canopy_drag_coeff == 0.0_wp ) THEN |
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| 221 | message_string = 'plant_canopy = .TRUE. requires a non-zero drag '// & |
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| 222 | 'coefficient & given value is canopy_drag_coeff = 0.0' |
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| 223 | CALL message( 'check_parameters', 'PA0041', 1, 2, 0, 6, 0 ) |
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| 224 | ENDIF |
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| 225 | |
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| 226 | IF ( ( alpha_lad /= 9999999.9_wp .AND. beta_lad == 9999999.9_wp ) .OR.& |
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| 227 | beta_lad /= 9999999.9_wp .AND. alpha_lad == 9999999.9_wp ) THEN |
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| 228 | message_string = 'using the beta function for the construction ' // & |
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| 229 | 'of the leaf area density profile requires ' // & |
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| 230 | 'both alpha_lad and beta_lad to be /= 9999999.9' |
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| 231 | CALL message( 'check_parameters', 'PA0118', 1, 2, 0, 6, 0 ) |
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| 232 | ENDIF |
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| 233 | |
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| 234 | IF ( calc_beta_lad_profile .AND. lai_beta == 0.0_wp ) THEN |
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| 235 | message_string = 'using the beta function for the construction ' // & |
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| 236 | 'of the leaf area density profile requires ' // & |
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| 237 | 'a non-zero lai_beta, but given value is ' // & |
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| 238 | 'lai_beta = 0.0' |
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| 239 | CALL message( 'check_parameters', 'PA0119', 1, 2, 0, 6, 0 ) |
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| 240 | ENDIF |
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| 241 | |
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| 242 | IF ( calc_beta_lad_profile .AND. lad_surface /= 0.0_wp ) THEN |
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| 243 | message_string = 'simultaneous setting of alpha_lad /= 9999999.9' // & |
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| 244 | 'and lad_surface /= 0.0 is not possible, ' // & |
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| 245 | 'use either vertical gradients or the beta ' // & |
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| 246 | 'function for the construction of the leaf area '// & |
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| 247 | 'density profile' |
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| 248 | CALL message( 'check_parameters', 'PA0120', 1, 2, 0, 6, 0 ) |
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| 249 | ENDIF |
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| 250 | |
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| 251 | IF ( cloud_physics .AND. microphysics_seifert ) THEN |
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| 252 | message_string = 'plant_canopy = .TRUE. requires cloud_scheme /=' // & |
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| 253 | ' seifert_beheng' |
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| 254 | CALL message( 'check_parameters', 'PA0360', 1, 2, 0, 6, 0 ) |
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| 255 | ENDIF |
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| 256 | |
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| 257 | |
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| 258 | END SUBROUTINE pcm_check_parameters |
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| 259 | |
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| 260 | |
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[138] | 261 | !------------------------------------------------------------------------------! |
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[1484] | 262 | ! Description: |
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| 263 | ! ------------ |
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[1826] | 264 | !> Header output for plant canopy model |
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| 265 | !------------------------------------------------------------------------------! |
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| 266 | SUBROUTINE pcm_header ( io ) |
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| 267 | |
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| 268 | USE control_parameters, & |
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| 269 | ONLY: dz, passive_scalar |
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| 270 | |
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| 271 | |
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| 272 | IMPLICIT NONE |
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| 273 | |
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| 274 | CHARACTER (LEN=10) :: coor_chr !< |
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| 275 | |
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| 276 | CHARACTER (LEN=86) :: coordinates !< |
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| 277 | CHARACTER (LEN=86) :: gradients !< |
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| 278 | CHARACTER (LEN=86) :: leaf_area_density !< |
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| 279 | CHARACTER (LEN=86) :: slices !< |
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| 280 | |
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| 281 | INTEGER(iwp) :: i !< |
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| 282 | INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file |
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| 283 | INTEGER(iwp) :: k !< |
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| 284 | |
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| 285 | REAL(wp) :: canopy_height !< canopy height (in m) |
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| 286 | |
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| 287 | canopy_height = pch_index * dz |
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| 288 | |
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| 289 | WRITE ( io, 1 ) canopy_mode, canopy_height, pch_index, & |
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| 290 | canopy_drag_coeff |
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| 291 | IF ( passive_scalar ) THEN |
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| 292 | WRITE ( io, 2 ) leaf_scalar_exch_coeff, & |
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| 293 | leaf_surface_conc |
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| 294 | ENDIF |
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| 295 | |
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| 296 | ! |
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| 297 | !-- Heat flux at the top of vegetation |
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| 298 | WRITE ( io, 3 ) cthf |
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| 299 | |
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| 300 | ! |
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| 301 | !-- Leaf area density profile, calculated either from given vertical |
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| 302 | !-- gradients or from beta probability density function. |
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| 303 | IF ( .NOT. calc_beta_lad_profile ) THEN |
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| 304 | |
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| 305 | !-- Building output strings, starting with surface value |
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| 306 | WRITE ( leaf_area_density, '(F7.4)' ) lad_surface |
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| 307 | gradients = '------' |
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| 308 | slices = ' 0' |
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| 309 | coordinates = ' 0.0' |
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| 310 | i = 1 |
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| 311 | DO WHILE ( i < 11 .AND. lad_vertical_gradient_level_ind(i) & |
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| 312 | /= -9999 ) |
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| 313 | |
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| 314 | WRITE (coor_chr,'(F7.2)') lad(lad_vertical_gradient_level_ind(i)) |
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| 315 | leaf_area_density = TRIM( leaf_area_density ) // ' ' // & |
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| 316 | TRIM( coor_chr ) |
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| 317 | |
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| 318 | WRITE (coor_chr,'(F7.2)') lad_vertical_gradient(i) |
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| 319 | gradients = TRIM( gradients ) // ' ' // TRIM( coor_chr ) |
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| 320 | |
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| 321 | WRITE (coor_chr,'(I7)') lad_vertical_gradient_level_ind(i) |
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| 322 | slices = TRIM( slices ) // ' ' // TRIM( coor_chr ) |
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| 323 | |
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| 324 | WRITE (coor_chr,'(F7.1)') lad_vertical_gradient_level(i) |
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| 325 | coordinates = TRIM( coordinates ) // ' ' // TRIM( coor_chr ) |
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| 326 | |
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| 327 | i = i + 1 |
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| 328 | ENDDO |
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| 329 | |
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| 330 | WRITE ( io, 4 ) TRIM( coordinates ), TRIM( leaf_area_density ), & |
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| 331 | TRIM( gradients ), TRIM( slices ) |
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| 332 | |
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| 333 | ELSE |
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| 334 | |
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| 335 | WRITE ( leaf_area_density, '(F7.4)' ) lad_surface |
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| 336 | coordinates = ' 0.0' |
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| 337 | |
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| 338 | DO k = 1, pch_index |
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| 339 | |
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| 340 | WRITE (coor_chr,'(F7.2)') lad(k) |
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| 341 | leaf_area_density = TRIM( leaf_area_density ) // ' ' // & |
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| 342 | TRIM( coor_chr ) |
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| 343 | |
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| 344 | WRITE (coor_chr,'(F7.1)') zu(k) |
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| 345 | coordinates = TRIM( coordinates ) // ' ' // TRIM( coor_chr ) |
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| 346 | |
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| 347 | ENDDO |
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| 348 | |
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| 349 | WRITE ( io, 5 ) TRIM( coordinates ), TRIM( leaf_area_density ), & |
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| 350 | alpha_lad, beta_lad, lai_beta |
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| 351 | |
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| 352 | ENDIF |
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| 353 | |
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| 354 | 1 FORMAT (//' Vegetation canopy (drag) model:'/ & |
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| 355 | ' ------------------------------'// & |
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| 356 | ' Canopy mode: ', A / & |
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| 357 | ' Canopy height: ',F6.2,'m (',I4,' grid points)' / & |
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| 358 | ' Leaf drag coefficient: ',F6.2 /) |
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| 359 | 2 FORMAT (/ ' Scalar exchange coefficient: ',F6.2 / & |
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| 360 | ' Scalar concentration at leaf surfaces in kg/m**3: ',F6.2 /) |
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| 361 | 3 FORMAT (' Predefined constant heatflux at the top of the vegetation: ',F6.2, & |
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| 362 | ' K m/s') |
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| 363 | 4 FORMAT (/ ' Characteristic levels of the leaf area density:'// & |
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| 364 | ' Height: ',A,' m'/ & |
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| 365 | ' Leaf area density: ',A,' m**2/m**3'/ & |
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| 366 | ' Gradient: ',A,' m**2/m**4'/ & |
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| 367 | ' Gridpoint: ',A) |
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| 368 | 5 FORMAT (//' Characteristic levels of the leaf area density and coefficients:'& |
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| 369 | // ' Height: ',A,' m'/ & |
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| 370 | ' Leaf area density: ',A,' m**2/m**3'/ & |
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| 371 | ' Coefficient alpha: ',F6.2 / & |
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| 372 | ' Coefficient beta: ',F6.2 / & |
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| 373 | ' Leaf area index: ',F6.2,' m**2/m**2' /) |
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| 374 | |
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| 375 | END SUBROUTINE pcm_header |
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| 376 | |
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| 377 | |
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| 378 | !------------------------------------------------------------------------------! |
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| 379 | ! Description: |
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| 380 | ! ------------ |
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[1682] | 381 | !> Initialization of the plant canopy model |
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[138] | 382 | !------------------------------------------------------------------------------! |
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[1826] | 383 | SUBROUTINE pcm_init |
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[1484] | 384 | |
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| 385 | |
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| 386 | USE control_parameters, & |
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[2007] | 387 | ONLY: coupling_char, dz, humidity, io_blocks, io_group, & |
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| 388 | message_string, ocean, passive_scalar |
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[1484] | 389 | |
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| 390 | |
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| 391 | IMPLICIT NONE |
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| 392 | |
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[2007] | 393 | CHARACTER(10) :: pct |
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| 394 | |
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| 395 | INTEGER(iwp) :: i !< running index |
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| 396 | INTEGER(iwp) :: ii !< index |
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| 397 | INTEGER(iwp) :: j !< running index |
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| 398 | INTEGER(iwp) :: k !< running index |
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[1484] | 399 | |
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[2007] | 400 | REAL(wp) :: int_bpdf !< vertical integral for lad-profile construction |
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| 401 | REAL(wp) :: dzh !< vertical grid spacing in units of canopy height |
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| 402 | REAL(wp) :: gradient !< gradient for lad-profile construction |
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| 403 | REAL(wp) :: canopy_height !< canopy height for lad-profile construction |
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| 404 | REAL(wp) :: pcv(nzb:nzt+1) !< |
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| 405 | |
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[1484] | 406 | ! |
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| 407 | !-- Allocate one-dimensional arrays for the computation of the |
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| 408 | !-- leaf area density (lad) profile |
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| 409 | ALLOCATE( lad(0:nz+1), pre_lad(0:nz+1) ) |
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| 410 | lad = 0.0_wp |
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| 411 | pre_lad = 0.0_wp |
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| 412 | |
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| 413 | ! |
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[1826] | 414 | !-- Set flag that indicates that the lad-profile shall be calculated by using |
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| 415 | !-- a beta probability density function |
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| 416 | IF ( alpha_lad /= 9999999.9_wp .AND. beta_lad /= 9999999.9_wp ) THEN |
---|
| 417 | calc_beta_lad_profile = .TRUE. |
---|
| 418 | ENDIF |
---|
| 419 | |
---|
| 420 | |
---|
| 421 | ! |
---|
[1484] | 422 | !-- Compute the profile of leaf area density used in the plant |
---|
| 423 | !-- canopy model. The profile can either be constructed from |
---|
| 424 | !-- prescribed vertical gradients of the leaf area density or by |
---|
| 425 | !-- using a beta probability density function (see e.g. Markkanen et al., |
---|
| 426 | !-- 2003: Boundary-Layer Meteorology, 106, 437-459) |
---|
| 427 | IF ( .NOT. calc_beta_lad_profile ) THEN |
---|
| 428 | |
---|
| 429 | ! |
---|
| 430 | !-- Use vertical gradients for lad-profile construction |
---|
| 431 | i = 1 |
---|
| 432 | gradient = 0.0_wp |
---|
| 433 | |
---|
| 434 | IF ( .NOT. ocean ) THEN |
---|
| 435 | |
---|
| 436 | lad(0) = lad_surface |
---|
| 437 | lad_vertical_gradient_level_ind(1) = 0 |
---|
| 438 | |
---|
| 439 | DO k = 1, pch_index |
---|
| 440 | IF ( i < 11 ) THEN |
---|
| 441 | IF ( lad_vertical_gradient_level(i) < zu(k) .AND. & |
---|
| 442 | lad_vertical_gradient_level(i) >= 0.0_wp ) THEN |
---|
| 443 | gradient = lad_vertical_gradient(i) |
---|
| 444 | lad_vertical_gradient_level_ind(i) = k - 1 |
---|
| 445 | i = i + 1 |
---|
| 446 | ENDIF |
---|
| 447 | ENDIF |
---|
| 448 | IF ( gradient /= 0.0_wp ) THEN |
---|
| 449 | IF ( k /= 1 ) THEN |
---|
| 450 | lad(k) = lad(k-1) + dzu(k) * gradient |
---|
| 451 | ELSE |
---|
| 452 | lad(k) = lad_surface + dzu(k) * gradient |
---|
| 453 | ENDIF |
---|
| 454 | ELSE |
---|
| 455 | lad(k) = lad(k-1) |
---|
| 456 | ENDIF |
---|
| 457 | ENDDO |
---|
| 458 | |
---|
| 459 | ENDIF |
---|
| 460 | |
---|
| 461 | ! |
---|
| 462 | !-- In case of no given leaf area density gradients, choose a vanishing |
---|
| 463 | !-- gradient. This information is used for the HEADER and the RUN_CONTROL |
---|
| 464 | !-- file. |
---|
| 465 | IF ( lad_vertical_gradient_level(1) == -9999999.9_wp ) THEN |
---|
| 466 | lad_vertical_gradient_level(1) = 0.0_wp |
---|
| 467 | ENDIF |
---|
| 468 | |
---|
| 469 | ELSE |
---|
| 470 | |
---|
| 471 | ! |
---|
| 472 | !-- Use beta function for lad-profile construction |
---|
| 473 | int_bpdf = 0.0_wp |
---|
| 474 | canopy_height = pch_index * dz |
---|
| 475 | |
---|
| 476 | DO k = nzb, pch_index |
---|
| 477 | int_bpdf = int_bpdf + & |
---|
[1826] | 478 | ( ( ( zw(k) / canopy_height )**( alpha_lad-1.0_wp ) ) * & |
---|
| 479 | ( ( 1.0_wp - ( zw(k) / canopy_height ) )**( & |
---|
| 480 | beta_lad-1.0_wp ) ) & |
---|
| 481 | * ( ( zw(k+1)-zw(k) ) / canopy_height ) ) |
---|
[1484] | 482 | ENDDO |
---|
| 483 | |
---|
| 484 | ! |
---|
| 485 | !-- Preliminary lad profile (defined on w-grid) |
---|
| 486 | DO k = nzb, pch_index |
---|
[1826] | 487 | pre_lad(k) = lai_beta * & |
---|
| 488 | ( ( ( zw(k) / canopy_height )**( alpha_lad-1.0_wp ) ) & |
---|
| 489 | * ( ( 1.0_wp - ( zw(k) / canopy_height ) )**( & |
---|
| 490 | beta_lad-1.0_wp ) ) / int_bpdf & |
---|
| 491 | ) / canopy_height |
---|
[1484] | 492 | ENDDO |
---|
| 493 | |
---|
| 494 | ! |
---|
| 495 | !-- Final lad profile (defined on scalar-grid level, since most prognostic |
---|
| 496 | !-- quantities are defined there, hence, less interpolation is required |
---|
| 497 | !-- when calculating the canopy tendencies) |
---|
| 498 | lad(0) = pre_lad(0) |
---|
| 499 | DO k = nzb+1, pch_index |
---|
| 500 | lad(k) = 0.5 * ( pre_lad(k-1) + pre_lad(k) ) |
---|
| 501 | ENDDO |
---|
| 502 | |
---|
| 503 | ENDIF |
---|
| 504 | |
---|
| 505 | ! |
---|
| 506 | !-- Allocate 3D-array for the leaf area density (lad_s). In case of a |
---|
| 507 | !-- prescribed canopy-top heat flux (cthf), allocate 3D-arrays for |
---|
| 508 | !-- the cumulative leaf area index (cum_lai_hf) and the canopy heat flux. |
---|
| 509 | ALLOCATE( lad_s(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
| 510 | |
---|
| 511 | IF ( cthf /= 0.0_wp ) THEN |
---|
| 512 | ALLOCATE( cum_lai_hf(nzb:nzt+1,nysg:nyng,nxlg:nxrg), & |
---|
[2011] | 513 | pc_heating_rate(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
[1484] | 514 | ENDIF |
---|
| 515 | |
---|
| 516 | ! |
---|
| 517 | !-- Initialize canopy parameters cdc (canopy drag coefficient), |
---|
| 518 | !-- lsec (leaf scalar exchange coefficient), lsc (leaf surface concentration) |
---|
| 519 | !-- with the prescribed values |
---|
| 520 | cdc = canopy_drag_coeff |
---|
| 521 | lsec = leaf_scalar_exch_coeff |
---|
| 522 | lsc = leaf_surface_conc |
---|
| 523 | |
---|
| 524 | ! |
---|
| 525 | !-- Initialization of the canopy coverage in the model domain: |
---|
| 526 | !-- Setting the parameter canopy_mode = 'block' initializes a canopy, which |
---|
| 527 | !-- fully covers the domain surface |
---|
| 528 | SELECT CASE ( TRIM( canopy_mode ) ) |
---|
| 529 | |
---|
| 530 | CASE( 'block' ) |
---|
| 531 | |
---|
| 532 | DO i = nxlg, nxrg |
---|
| 533 | DO j = nysg, nyng |
---|
| 534 | lad_s(:,j,i) = lad(:) |
---|
| 535 | ENDDO |
---|
| 536 | ENDDO |
---|
| 537 | |
---|
[2007] | 538 | CASE ( 'read_from_file_3d' ) |
---|
| 539 | ! |
---|
| 540 | !-- Initialize canopy parameters cdc (canopy drag coefficient), |
---|
| 541 | !-- lsec (leaf scalar exchange coefficient), lsc (leaf surface concentration) |
---|
| 542 | !-- from file which contains complete 3D data (separate vertical profiles for |
---|
| 543 | !-- each location). |
---|
| 544 | CALL pcm_read_plant_canopy_3d |
---|
| 545 | |
---|
[1484] | 546 | CASE DEFAULT |
---|
| 547 | ! |
---|
[2007] | 548 | !-- The DEFAULT case is reached either if the parameter |
---|
| 549 | !-- canopy mode contains a wrong character string or if the |
---|
| 550 | !-- user has coded a special case in the user interface. |
---|
| 551 | !-- There, the subroutine user_init_plant_canopy checks |
---|
| 552 | !-- which of these two conditions applies. |
---|
| 553 | CALL user_init_plant_canopy |
---|
[1484] | 554 | |
---|
| 555 | END SELECT |
---|
| 556 | |
---|
| 557 | ! |
---|
[2011] | 558 | !-- Initialization of the canopy heat source distribution due to heating |
---|
| 559 | !-- of the canopy layers by incoming solar radiation, in case that a non-zero |
---|
| 560 | !-- value is set for the canopy top heat flux (cthf), which equals the |
---|
| 561 | !-- available net radiation at canopy top. |
---|
| 562 | !-- The heat source distribution is calculated by a decaying exponential |
---|
| 563 | !-- function of the downward cumulative leaf area index (cum_lai_hf), |
---|
| 564 | !-- assuming that the foliage inside the plant canopy is heated by solar |
---|
| 565 | !-- radiation penetrating the canopy layers according to the distribution |
---|
| 566 | !-- of net radiation as suggested by Brown & Covey (1966; Agric. Meteorol. 3, |
---|
| 567 | !-- 73â96). This approach has been applied e.g. by Shaw & Schumann (1992; |
---|
| 568 | !-- Bound.-Layer Meteorol. 61, 47â64) |
---|
[1484] | 569 | IF ( cthf /= 0.0_wp ) THEN |
---|
| 570 | ! |
---|
[2011] | 571 | !-- Piecewise calculation of the cumulative leaf area index by vertical |
---|
[1484] | 572 | !-- integration of the leaf area density |
---|
| 573 | cum_lai_hf(:,:,:) = 0.0_wp |
---|
| 574 | DO i = nxlg, nxrg |
---|
| 575 | DO j = nysg, nyng |
---|
| 576 | DO k = pch_index-1, 0, -1 |
---|
| 577 | IF ( k == pch_index-1 ) THEN |
---|
| 578 | cum_lai_hf(k,j,i) = cum_lai_hf(k+1,j,i) + & |
---|
| 579 | ( 0.5_wp * lad_s(k+1,j,i) * & |
---|
| 580 | ( zw(k+1) - zu(k+1) ) ) + & |
---|
| 581 | ( 0.5_wp * ( 0.5_wp * ( lad_s(k+1,j,i) + & |
---|
| 582 | lad_s(k,j,i) ) + & |
---|
| 583 | lad_s(k+1,j,i) ) * & |
---|
| 584 | ( zu(k+1) - zw(k) ) ) |
---|
| 585 | ELSE |
---|
| 586 | cum_lai_hf(k,j,i) = cum_lai_hf(k+1,j,i) + & |
---|
| 587 | ( 0.5_wp * ( 0.5_wp * ( lad_s(k+2,j,i) + & |
---|
| 588 | lad_s(k+1,j,i) ) + & |
---|
| 589 | lad_s(k+1,j,i) ) * & |
---|
| 590 | ( zw(k+1) - zu(k+1) ) ) + & |
---|
| 591 | ( 0.5_wp * ( 0.5_wp * ( lad_s(k+1,j,i) + & |
---|
| 592 | lad_s(k,j,i) ) + & |
---|
| 593 | lad_s(k+1,j,i) ) * & |
---|
| 594 | ( zu(k+1) - zw(k) ) ) |
---|
| 595 | ENDIF |
---|
| 596 | ENDDO |
---|
| 597 | ENDDO |
---|
| 598 | ENDDO |
---|
| 599 | |
---|
| 600 | ! |
---|
[2011] | 601 | !-- Calculation of the heating rate (K/s) within the different layers of |
---|
| 602 | !-- the plant canopy |
---|
[1484] | 603 | DO i = nxlg, nxrg |
---|
| 604 | DO j = nysg, nyng |
---|
| 605 | ! |
---|
[2011] | 606 | !-- Calculation only necessary in areas covered with canopy |
---|
| 607 | IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) THEN |
---|
| 608 | !-- |
---|
| 609 | !-- In areas with canopy the surface value of the canopy heat |
---|
| 610 | !-- flux distribution overrides the surface heat flux (shf) |
---|
| 611 | shf(j,i) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) ) |
---|
| 612 | ! |
---|
| 613 | !-- Within the different canopy layers the plant-canopy heating |
---|
| 614 | !-- rate (pc_heating_rate) is calculated as the vertical |
---|
| 615 | !-- divergence of the canopy heat fluxes at the top and bottom |
---|
| 616 | !-- of the respective layer |
---|
| 617 | DO k = 1, pch_index |
---|
| 618 | pc_heating_rate(k,j,i) = cthf * & |
---|
| 619 | ( exp(-ext_coef*cum_lai_hf(k,j,i)) - & |
---|
| 620 | exp(-ext_coef*cum_lai_hf(k-1,j,i)) ) / dzw(k) |
---|
| 621 | ENDDO |
---|
[1721] | 622 | ENDIF |
---|
| 623 | ENDDO |
---|
| 624 | ENDDO |
---|
[1484] | 625 | |
---|
| 626 | ENDIF |
---|
| 627 | |
---|
| 628 | |
---|
| 629 | |
---|
[1826] | 630 | END SUBROUTINE pcm_init |
---|
[1484] | 631 | |
---|
| 632 | |
---|
[2007] | 633 | !------------------------------------------------------------------------------! |
---|
| 634 | ! Description: |
---|
| 635 | ! ------------ |
---|
| 636 | !> Parin for &canopy_par for plant canopy model |
---|
| 637 | !------------------------------------------------------------------------------! |
---|
| 638 | SUBROUTINE pcm_parin |
---|
[1484] | 639 | |
---|
[2007] | 640 | |
---|
| 641 | IMPLICIT NONE |
---|
| 642 | |
---|
| 643 | CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file |
---|
| 644 | |
---|
| 645 | NAMELIST /canopy_par/ alpha_lad, beta_lad, canopy_drag_coeff, & |
---|
| 646 | canopy_mode, cthf, & |
---|
| 647 | lad_surface, & |
---|
| 648 | lad_vertical_gradient, & |
---|
| 649 | lad_vertical_gradient_level, & |
---|
| 650 | lai_beta, & |
---|
| 651 | leaf_scalar_exch_coeff, & |
---|
| 652 | leaf_surface_conc, pch_index |
---|
| 653 | |
---|
| 654 | line = ' ' |
---|
| 655 | |
---|
| 656 | ! |
---|
| 657 | !-- Try to find radiation model package |
---|
| 658 | REWIND ( 11 ) |
---|
| 659 | line = ' ' |
---|
| 660 | DO WHILE ( INDEX( line, '&canopy_par' ) == 0 ) |
---|
| 661 | READ ( 11, '(A)', END=10 ) line |
---|
| 662 | ENDDO |
---|
| 663 | BACKSPACE ( 11 ) |
---|
| 664 | |
---|
| 665 | ! |
---|
| 666 | !-- Read user-defined namelist |
---|
| 667 | READ ( 11, canopy_par ) |
---|
| 668 | |
---|
| 669 | ! |
---|
| 670 | !-- Set flag that indicates that the radiation model is switched on |
---|
| 671 | plant_canopy = .TRUE. |
---|
| 672 | |
---|
| 673 | 10 CONTINUE |
---|
| 674 | |
---|
| 675 | |
---|
| 676 | END SUBROUTINE pcm_parin |
---|
| 677 | |
---|
| 678 | |
---|
| 679 | |
---|
[1484] | 680 | !------------------------------------------------------------------------------! |
---|
| 681 | ! Description: |
---|
| 682 | ! ------------ |
---|
[2007] | 683 | ! |
---|
| 684 | !> Loads 3D plant canopy data from file. File format is as follows: |
---|
| 685 | !> |
---|
| 686 | !> num_levels |
---|
| 687 | !> dtype,x,y,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1) |
---|
| 688 | !> dtype,x,y,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1) |
---|
| 689 | !> dtype,x,y,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1) |
---|
| 690 | !> ... |
---|
| 691 | !> |
---|
| 692 | !> i.e. first line determines number of levels and further lines represent plant |
---|
| 693 | !> canopy data, one line per column and variable. In each data line, |
---|
| 694 | !> dtype represents variable to be set: |
---|
| 695 | !> |
---|
| 696 | !> dtype=1: leaf area density (lad_s) |
---|
| 697 | !> dtype=2: canopy drag coefficient (cdc) |
---|
| 698 | !> dtype=3: leaf scalar exchange coefficient (lsec) |
---|
| 699 | !> dtype=4: leaf surface concentration (lsc) |
---|
| 700 | !> |
---|
| 701 | !> Zeros are added automatically above num_levels until top of domain. Any |
---|
| 702 | !> non-specified (x,y) columns have zero values as default. |
---|
| 703 | !------------------------------------------------------------------------------! |
---|
| 704 | SUBROUTINE pcm_read_plant_canopy_3d |
---|
| 705 | USE control_parameters, & |
---|
| 706 | ONLY: passive_scalar, message_string |
---|
| 707 | IMPLICIT NONE |
---|
| 708 | |
---|
| 709 | INTEGER(iwp) :: i, j, dtype, nzp, nzpltop, nzpl, kk |
---|
| 710 | REAL(wp), DIMENSION(:), ALLOCATABLE :: col |
---|
| 711 | |
---|
[2024] | 712 | lad_s = 0.0_wp |
---|
[2007] | 713 | OPEN(152, file='PLANT_CANOPY_DATA_3D', access='SEQUENTIAL', & |
---|
| 714 | action='READ', status='OLD', form='FORMATTED', err=515) |
---|
| 715 | READ(152, *, err=516, end=517) nzp !< read first line = number of vertical layers |
---|
| 716 | ALLOCATE(col(1:nzp)) |
---|
| 717 | nzpltop = MIN(nzt+1, nzb+nzp-1) |
---|
| 718 | nzpl = nzpltop - nzb + 1 !< no. of layers to assign |
---|
| 719 | |
---|
| 720 | DO |
---|
| 721 | READ(152, *, err=516, end=517) dtype, i, j, col(:) |
---|
| 722 | IF ( i < nxlg .or. i > nxrg .or. j < nysg .or. j > nyng ) CYCLE |
---|
| 723 | |
---|
| 724 | SELECT CASE (dtype) |
---|
| 725 | CASE( 1 ) !< leaf area density |
---|
| 726 | !-- only lad_s has flat z-coordinate, others have regular |
---|
| 727 | kk = nzb_s_inner(j, i) |
---|
| 728 | lad_s(nzb:nzpltop-kk, j, i) = col(1+kk:nzpl) |
---|
| 729 | ! CASE( 2 ) !< canopy drag coefficient |
---|
| 730 | ! cdc(nzb:nzpltop, j, i) = col(1:nzpl) |
---|
| 731 | ! CASE( 3 ) !< leaf scalar exchange coefficient |
---|
| 732 | ! lsec(nzb:nzpltop, j, i) = col(1:nzpl) |
---|
| 733 | ! CASE( 4 ) !< leaf surface concentration |
---|
| 734 | ! lsc(nzb:nzpltop, j, i) = col(1:nzpl) |
---|
| 735 | CASE DEFAULT |
---|
| 736 | write(message_string, '(a,i2,a)') & |
---|
| 737 | 'Unknown record type in file PLANT_CANOPY_DATA_3D: "', dtype, '"' |
---|
| 738 | CALL message( 'pcm_read_plant_canopy_3d', 'PA0530', 1, 2, 0, 6, 0 ) |
---|
| 739 | END SELECT |
---|
| 740 | ENDDO |
---|
| 741 | |
---|
| 742 | 515 message_string = 'error opening file PLANT_CANOPY_DATA_3D' |
---|
| 743 | CALL message( 'pcm_read_plant_canopy_3d', 'PA0531', 1, 2, 0, 6, 0 ) |
---|
| 744 | |
---|
| 745 | 516 message_string = 'error reading file PLANT_CANOPY_DATA_3D' |
---|
| 746 | CALL message( 'pcm_read_plant_canopy_3d', 'PA0532', 1, 2, 0, 6, 0 ) |
---|
| 747 | |
---|
| 748 | 517 CLOSE(152) |
---|
| 749 | DEALLOCATE(col) |
---|
| 750 | |
---|
| 751 | END SUBROUTINE pcm_read_plant_canopy_3d |
---|
| 752 | |
---|
| 753 | |
---|
| 754 | |
---|
| 755 | !------------------------------------------------------------------------------! |
---|
| 756 | ! Description: |
---|
| 757 | ! ------------ |
---|
[1682] | 758 | !> Calculation of the tendency terms, accounting for the effect of the plant |
---|
| 759 | !> canopy on momentum and scalar quantities. |
---|
| 760 | !> |
---|
| 761 | !> The canopy is located where the leaf area density lad_s(k,j,i) > 0.0 |
---|
[1826] | 762 | !> (defined on scalar grid), as initialized in subroutine pcm_init. |
---|
[1682] | 763 | !> The lad on the w-grid is vertically interpolated from the surrounding |
---|
| 764 | !> lad_s. The upper boundary of the canopy is defined on the w-grid at |
---|
| 765 | !> k = pch_index. Here, the lad is zero. |
---|
| 766 | !> |
---|
| 767 | !> The canopy drag must be limited (previously accounted for by calculation of |
---|
| 768 | !> a limiting canopy timestep for the determination of the maximum LES timestep |
---|
| 769 | !> in subroutine timestep), since it is physically impossible that the canopy |
---|
| 770 | !> drag alone can locally change the sign of a velocity component. This |
---|
| 771 | !> limitation is realized by calculating preliminary tendencies and velocities. |
---|
| 772 | !> It is subsequently checked if the preliminary new velocity has a different |
---|
| 773 | !> sign than the current velocity. If so, the tendency is limited in a way that |
---|
| 774 | !> the velocity can at maximum be reduced to zero by the canopy drag. |
---|
| 775 | !> |
---|
| 776 | !> |
---|
| 777 | !> Call for all grid points |
---|
[1484] | 778 | !------------------------------------------------------------------------------! |
---|
[1826] | 779 | SUBROUTINE pcm_tendency( component ) |
---|
[138] | 780 | |
---|
| 781 | |
---|
[1320] | 782 | USE control_parameters, & |
---|
[1484] | 783 | ONLY: dt_3d, message_string |
---|
[1320] | 784 | |
---|
| 785 | USE kinds |
---|
| 786 | |
---|
[138] | 787 | IMPLICIT NONE |
---|
| 788 | |
---|
[1682] | 789 | INTEGER(iwp) :: component !< prognostic variable (u,v,w,pt,q,e) |
---|
| 790 | INTEGER(iwp) :: i !< running index |
---|
| 791 | INTEGER(iwp) :: j !< running index |
---|
| 792 | INTEGER(iwp) :: k !< running index |
---|
[1721] | 793 | INTEGER(iwp) :: kk !< running index for flat lad arrays |
---|
[1484] | 794 | |
---|
[1682] | 795 | REAL(wp) :: ddt_3d !< inverse of the LES timestep (dt_3d) |
---|
| 796 | REAL(wp) :: lad_local !< local lad value |
---|
| 797 | REAL(wp) :: pre_tend !< preliminary tendency |
---|
| 798 | REAL(wp) :: pre_u !< preliminary u-value |
---|
| 799 | REAL(wp) :: pre_v !< preliminary v-value |
---|
| 800 | REAL(wp) :: pre_w !< preliminary w-value |
---|
[1484] | 801 | |
---|
| 802 | |
---|
| 803 | ddt_3d = 1.0_wp / dt_3d |
---|
[138] | 804 | |
---|
| 805 | ! |
---|
[1484] | 806 | !-- Compute drag for the three velocity components and the SGS-TKE: |
---|
[138] | 807 | SELECT CASE ( component ) |
---|
| 808 | |
---|
| 809 | ! |
---|
| 810 | !-- u-component |
---|
| 811 | CASE ( 1 ) |
---|
| 812 | DO i = nxlu, nxr |
---|
| 813 | DO j = nys, nyn |
---|
[1721] | 814 | DO k = nzb_u_inner(j,i)+1, nzb_u_inner(j,i)+pch_index |
---|
[1484] | 815 | |
---|
[1721] | 816 | kk = k - nzb_u_inner(j,i) !- lad arrays are defined flat |
---|
[1484] | 817 | ! |
---|
| 818 | !-- In order to create sharp boundaries of the plant canopy, |
---|
| 819 | !-- the lad on the u-grid at index (k,j,i) is equal to |
---|
| 820 | !-- lad_s(k,j,i), rather than being interpolated from the |
---|
| 821 | !-- surrounding lad_s, because this would yield smaller lad |
---|
| 822 | !-- at the canopy boundaries than inside of the canopy. |
---|
| 823 | !-- For the same reason, the lad at the rightmost(i+1)canopy |
---|
| 824 | !-- boundary on the u-grid equals lad_s(k,j,i). |
---|
[1721] | 825 | lad_local = lad_s(kk,j,i) |
---|
| 826 | IF ( lad_local == 0.0_wp .AND. lad_s(kk,j,i-1) > 0.0_wp )& |
---|
| 827 | THEN |
---|
| 828 | lad_local = lad_s(kk,j,i-1) |
---|
[1484] | 829 | ENDIF |
---|
| 830 | |
---|
| 831 | pre_tend = 0.0_wp |
---|
| 832 | pre_u = 0.0_wp |
---|
| 833 | ! |
---|
| 834 | !-- Calculate preliminary value (pre_tend) of the tendency |
---|
| 835 | pre_tend = - cdc * & |
---|
| 836 | lad_local * & |
---|
| 837 | SQRT( u(k,j,i)**2 + & |
---|
| 838 | ( 0.25_wp * ( v(k,j,i-1) + & |
---|
| 839 | v(k,j,i) + & |
---|
| 840 | v(k,j+1,i) + & |
---|
| 841 | v(k,j+1,i-1) ) & |
---|
| 842 | )**2 + & |
---|
| 843 | ( 0.25_wp * ( w(k-1,j,i-1) + & |
---|
| 844 | w(k-1,j,i) + & |
---|
| 845 | w(k,j,i-1) + & |
---|
| 846 | w(k,j,i) ) & |
---|
| 847 | )**2 & |
---|
| 848 | ) * & |
---|
| 849 | u(k,j,i) |
---|
| 850 | |
---|
| 851 | ! |
---|
| 852 | !-- Calculate preliminary new velocity, based on pre_tend |
---|
| 853 | pre_u = u(k,j,i) + dt_3d * pre_tend |
---|
| 854 | ! |
---|
| 855 | !-- Compare sign of old velocity and new preliminary velocity, |
---|
| 856 | !-- and in case the signs are different, limit the tendency |
---|
| 857 | IF ( SIGN(pre_u,u(k,j,i)) /= pre_u ) THEN |
---|
| 858 | pre_tend = - u(k,j,i) * ddt_3d |
---|
| 859 | ELSE |
---|
| 860 | pre_tend = pre_tend |
---|
| 861 | ENDIF |
---|
| 862 | ! |
---|
| 863 | !-- Calculate final tendency |
---|
| 864 | tend(k,j,i) = tend(k,j,i) + pre_tend |
---|
| 865 | |
---|
[138] | 866 | ENDDO |
---|
| 867 | ENDDO |
---|
| 868 | ENDDO |
---|
| 869 | |
---|
| 870 | ! |
---|
| 871 | !-- v-component |
---|
| 872 | CASE ( 2 ) |
---|
| 873 | DO i = nxl, nxr |
---|
| 874 | DO j = nysv, nyn |
---|
[1721] | 875 | DO k = nzb_v_inner(j,i)+1, nzb_v_inner(j,i)+pch_index |
---|
[1484] | 876 | |
---|
[1721] | 877 | kk = k - nzb_v_inner(j,i) !- lad arrays are defined flat |
---|
[1484] | 878 | ! |
---|
| 879 | !-- In order to create sharp boundaries of the plant canopy, |
---|
| 880 | !-- the lad on the v-grid at index (k,j,i) is equal to |
---|
| 881 | !-- lad_s(k,j,i), rather than being interpolated from the |
---|
| 882 | !-- surrounding lad_s, because this would yield smaller lad |
---|
| 883 | !-- at the canopy boundaries than inside of the canopy. |
---|
| 884 | !-- For the same reason, the lad at the northmost(j+1) canopy |
---|
| 885 | !-- boundary on the v-grid equals lad_s(k,j,i). |
---|
[1721] | 886 | lad_local = lad_s(kk,j,i) |
---|
| 887 | IF ( lad_local == 0.0_wp .AND. lad_s(kk,j-1,i) > 0.0_wp )& |
---|
| 888 | THEN |
---|
| 889 | lad_local = lad_s(kk,j-1,i) |
---|
[1484] | 890 | ENDIF |
---|
| 891 | |
---|
| 892 | pre_tend = 0.0_wp |
---|
| 893 | pre_v = 0.0_wp |
---|
| 894 | ! |
---|
| 895 | !-- Calculate preliminary value (pre_tend) of the tendency |
---|
| 896 | pre_tend = - cdc * & |
---|
| 897 | lad_local * & |
---|
| 898 | SQRT( ( 0.25_wp * ( u(k,j-1,i) + & |
---|
| 899 | u(k,j-1,i+1) + & |
---|
| 900 | u(k,j,i) + & |
---|
| 901 | u(k,j,i+1) ) & |
---|
| 902 | )**2 + & |
---|
| 903 | v(k,j,i)**2 + & |
---|
| 904 | ( 0.25_wp * ( w(k-1,j-1,i) + & |
---|
| 905 | w(k-1,j,i) + & |
---|
| 906 | w(k,j-1,i) + & |
---|
| 907 | w(k,j,i) ) & |
---|
| 908 | )**2 & |
---|
| 909 | ) * & |
---|
| 910 | v(k,j,i) |
---|
| 911 | |
---|
| 912 | ! |
---|
| 913 | !-- Calculate preliminary new velocity, based on pre_tend |
---|
| 914 | pre_v = v(k,j,i) + dt_3d * pre_tend |
---|
| 915 | ! |
---|
| 916 | !-- Compare sign of old velocity and new preliminary velocity, |
---|
| 917 | !-- and in case the signs are different, limit the tendency |
---|
| 918 | IF ( SIGN(pre_v,v(k,j,i)) /= pre_v ) THEN |
---|
| 919 | pre_tend = - v(k,j,i) * ddt_3d |
---|
| 920 | ELSE |
---|
| 921 | pre_tend = pre_tend |
---|
| 922 | ENDIF |
---|
| 923 | ! |
---|
| 924 | !-- Calculate final tendency |
---|
| 925 | tend(k,j,i) = tend(k,j,i) + pre_tend |
---|
| 926 | |
---|
[138] | 927 | ENDDO |
---|
| 928 | ENDDO |
---|
| 929 | ENDDO |
---|
| 930 | |
---|
| 931 | ! |
---|
| 932 | !-- w-component |
---|
| 933 | CASE ( 3 ) |
---|
| 934 | DO i = nxl, nxr |
---|
| 935 | DO j = nys, nyn |
---|
[1721] | 936 | DO k = nzb_w_inner(j,i)+1, nzb_w_inner(j,i)+pch_index-1 |
---|
[1484] | 937 | |
---|
[1721] | 938 | kk = k - nzb_w_inner(j,i) !- lad arrays are defined flat |
---|
| 939 | |
---|
[1484] | 940 | pre_tend = 0.0_wp |
---|
| 941 | pre_w = 0.0_wp |
---|
| 942 | ! |
---|
| 943 | !-- Calculate preliminary value (pre_tend) of the tendency |
---|
| 944 | pre_tend = - cdc * & |
---|
| 945 | (0.5_wp * & |
---|
[1721] | 946 | ( lad_s(kk+1,j,i) + lad_s(kk,j,i) )) * & |
---|
[1484] | 947 | SQRT( ( 0.25_wp * ( u(k,j,i) + & |
---|
| 948 | u(k,j,i+1) + & |
---|
| 949 | u(k+1,j,i) + & |
---|
| 950 | u(k+1,j,i+1) ) & |
---|
| 951 | )**2 + & |
---|
| 952 | ( 0.25_wp * ( v(k,j,i) + & |
---|
| 953 | v(k,j+1,i) + & |
---|
| 954 | v(k+1,j,i) + & |
---|
| 955 | v(k+1,j+1,i) ) & |
---|
| 956 | )**2 + & |
---|
| 957 | w(k,j,i)**2 & |
---|
| 958 | ) * & |
---|
| 959 | w(k,j,i) |
---|
| 960 | ! |
---|
| 961 | !-- Calculate preliminary new velocity, based on pre_tend |
---|
| 962 | pre_w = w(k,j,i) + dt_3d * pre_tend |
---|
| 963 | ! |
---|
| 964 | !-- Compare sign of old velocity and new preliminary velocity, |
---|
| 965 | !-- and in case the signs are different, limit the tendency |
---|
| 966 | IF ( SIGN(pre_w,w(k,j,i)) /= pre_w ) THEN |
---|
| 967 | pre_tend = - w(k,j,i) * ddt_3d |
---|
| 968 | ELSE |
---|
| 969 | pre_tend = pre_tend |
---|
| 970 | ENDIF |
---|
| 971 | ! |
---|
| 972 | !-- Calculate final tendency |
---|
| 973 | tend(k,j,i) = tend(k,j,i) + pre_tend |
---|
| 974 | |
---|
[138] | 975 | ENDDO |
---|
| 976 | ENDDO |
---|
| 977 | ENDDO |
---|
| 978 | |
---|
| 979 | ! |
---|
[153] | 980 | !-- potential temperature |
---|
[138] | 981 | CASE ( 4 ) |
---|
| 982 | DO i = nxl, nxr |
---|
| 983 | DO j = nys, nyn |
---|
[1721] | 984 | DO k = nzb_s_inner(j,i)+1, nzb_s_inner(j,i)+pch_index |
---|
| 985 | kk = k - nzb_s_inner(j,i) !- lad arrays are defined flat |
---|
[2011] | 986 | tend(k,j,i) = tend(k,j,i) + pc_heating_rate(kk,j,i) |
---|
[153] | 987 | ENDDO |
---|
| 988 | ENDDO |
---|
| 989 | ENDDO |
---|
| 990 | |
---|
| 991 | ! |
---|
[1960] | 992 | !-- humidity |
---|
[153] | 993 | CASE ( 5 ) |
---|
| 994 | DO i = nxl, nxr |
---|
| 995 | DO j = nys, nyn |
---|
[1721] | 996 | DO k = nzb_s_inner(j,i)+1, nzb_s_inner(j,i)+pch_index |
---|
| 997 | kk = k - nzb_s_inner(j,i) !- lad arrays are defined flat |
---|
[1484] | 998 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 999 | lsec * & |
---|
[1721] | 1000 | lad_s(kk,j,i) * & |
---|
[1484] | 1001 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
---|
| 1002 | u(k,j,i+1) ) & |
---|
| 1003 | )**2 + & |
---|
| 1004 | ( 0.5_wp * ( v(k,j,i) + & |
---|
| 1005 | v(k,j+1,i) ) & |
---|
| 1006 | )**2 + & |
---|
| 1007 | ( 0.5_wp * ( w(k-1,j,i) + & |
---|
| 1008 | w(k,j,i) ) & |
---|
| 1009 | )**2 & |
---|
| 1010 | ) * & |
---|
| 1011 | ( q(k,j,i) - lsc ) |
---|
[153] | 1012 | ENDDO |
---|
| 1013 | ENDDO |
---|
| 1014 | ENDDO |
---|
| 1015 | |
---|
| 1016 | ! |
---|
| 1017 | !-- sgs-tke |
---|
| 1018 | CASE ( 6 ) |
---|
| 1019 | DO i = nxl, nxr |
---|
| 1020 | DO j = nys, nyn |
---|
[1721] | 1021 | DO k = nzb_s_inner(j,i)+1, nzb_s_inner(j,i)+pch_index |
---|
| 1022 | kk = k - nzb_s_inner(j,i) !- lad arrays are defined flat |
---|
[1484] | 1023 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 1024 | 2.0_wp * cdc * & |
---|
[1721] | 1025 | lad_s(kk,j,i) * & |
---|
[1484] | 1026 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
---|
| 1027 | u(k,j,i+1) ) & |
---|
| 1028 | )**2 + & |
---|
| 1029 | ( 0.5_wp * ( v(k,j,i) + & |
---|
| 1030 | v(k,j+1,i) ) & |
---|
| 1031 | )**2 + & |
---|
| 1032 | ( 0.5_wp * ( w(k,j,i) + & |
---|
| 1033 | w(k+1,j,i) ) & |
---|
| 1034 | )**2 & |
---|
| 1035 | ) * & |
---|
| 1036 | e(k,j,i) |
---|
[138] | 1037 | ENDDO |
---|
| 1038 | ENDDO |
---|
| 1039 | ENDDO |
---|
[1960] | 1040 | ! |
---|
| 1041 | !-- scalar concentration |
---|
| 1042 | CASE ( 7 ) |
---|
| 1043 | DO i = nxl, nxr |
---|
| 1044 | DO j = nys, nyn |
---|
| 1045 | DO k = nzb_s_inner(j,i)+1, nzb_s_inner(j,i)+pch_index |
---|
| 1046 | kk = k - nzb_s_inner(j,i) !- lad arrays are defined flat |
---|
| 1047 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 1048 | lsec * & |
---|
| 1049 | lad_s(kk,j,i) * & |
---|
| 1050 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
---|
| 1051 | u(k,j,i+1) ) & |
---|
| 1052 | )**2 + & |
---|
| 1053 | ( 0.5_wp * ( v(k,j,i) + & |
---|
| 1054 | v(k,j+1,i) ) & |
---|
| 1055 | )**2 + & |
---|
| 1056 | ( 0.5_wp * ( w(k-1,j,i) + & |
---|
| 1057 | w(k,j,i) ) & |
---|
| 1058 | )**2 & |
---|
| 1059 | ) * & |
---|
| 1060 | ( s(k,j,i) - lsc ) |
---|
| 1061 | ENDDO |
---|
| 1062 | ENDDO |
---|
| 1063 | ENDDO |
---|
[1484] | 1064 | |
---|
| 1065 | |
---|
[1960] | 1066 | |
---|
[138] | 1067 | CASE DEFAULT |
---|
| 1068 | |
---|
[257] | 1069 | WRITE( message_string, * ) 'wrong component: ', component |
---|
[1826] | 1070 | CALL message( 'pcm_tendency', 'PA0279', 1, 2, 0, 6, 0 ) |
---|
[138] | 1071 | |
---|
| 1072 | END SELECT |
---|
| 1073 | |
---|
[1826] | 1074 | END SUBROUTINE pcm_tendency |
---|
[138] | 1075 | |
---|
| 1076 | |
---|
| 1077 | !------------------------------------------------------------------------------! |
---|
[1484] | 1078 | ! Description: |
---|
| 1079 | ! ------------ |
---|
[1682] | 1080 | !> Calculation of the tendency terms, accounting for the effect of the plant |
---|
| 1081 | !> canopy on momentum and scalar quantities. |
---|
| 1082 | !> |
---|
| 1083 | !> The canopy is located where the leaf area density lad_s(k,j,i) > 0.0 |
---|
[1826] | 1084 | !> (defined on scalar grid), as initialized in subroutine pcm_init. |
---|
[1682] | 1085 | !> The lad on the w-grid is vertically interpolated from the surrounding |
---|
| 1086 | !> lad_s. The upper boundary of the canopy is defined on the w-grid at |
---|
| 1087 | !> k = pch_index. Here, the lad is zero. |
---|
| 1088 | !> |
---|
| 1089 | !> The canopy drag must be limited (previously accounted for by calculation of |
---|
| 1090 | !> a limiting canopy timestep for the determination of the maximum LES timestep |
---|
| 1091 | !> in subroutine timestep), since it is physically impossible that the canopy |
---|
| 1092 | !> drag alone can locally change the sign of a velocity component. This |
---|
| 1093 | !> limitation is realized by calculating preliminary tendencies and velocities. |
---|
| 1094 | !> It is subsequently checked if the preliminary new velocity has a different |
---|
| 1095 | !> sign than the current velocity. If so, the tendency is limited in a way that |
---|
| 1096 | !> the velocity can at maximum be reduced to zero by the canopy drag. |
---|
| 1097 | !> |
---|
| 1098 | !> |
---|
| 1099 | !> Call for grid point i,j |
---|
[138] | 1100 | !------------------------------------------------------------------------------! |
---|
[1826] | 1101 | SUBROUTINE pcm_tendency_ij( i, j, component ) |
---|
[138] | 1102 | |
---|
| 1103 | |
---|
[1320] | 1104 | USE control_parameters, & |
---|
[1484] | 1105 | ONLY: dt_3d, message_string |
---|
[1320] | 1106 | |
---|
| 1107 | USE kinds |
---|
| 1108 | |
---|
[138] | 1109 | IMPLICIT NONE |
---|
| 1110 | |
---|
[1682] | 1111 | INTEGER(iwp) :: component !< prognostic variable (u,v,w,pt,q,e) |
---|
| 1112 | INTEGER(iwp) :: i !< running index |
---|
| 1113 | INTEGER(iwp) :: j !< running index |
---|
| 1114 | INTEGER(iwp) :: k !< running index |
---|
[1721] | 1115 | INTEGER(iwp) :: kk !< running index for flat lad arrays |
---|
[138] | 1116 | |
---|
[1682] | 1117 | REAL(wp) :: ddt_3d !< inverse of the LES timestep (dt_3d) |
---|
| 1118 | REAL(wp) :: lad_local !< local lad value |
---|
| 1119 | REAL(wp) :: pre_tend !< preliminary tendency |
---|
| 1120 | REAL(wp) :: pre_u !< preliminary u-value |
---|
| 1121 | REAL(wp) :: pre_v !< preliminary v-value |
---|
| 1122 | REAL(wp) :: pre_w !< preliminary w-value |
---|
[1484] | 1123 | |
---|
| 1124 | |
---|
| 1125 | ddt_3d = 1.0_wp / dt_3d |
---|
| 1126 | |
---|
[138] | 1127 | ! |
---|
[1484] | 1128 | !-- Compute drag for the three velocity components and the SGS-TKE |
---|
[142] | 1129 | SELECT CASE ( component ) |
---|
[138] | 1130 | |
---|
| 1131 | ! |
---|
[142] | 1132 | !-- u-component |
---|
[1484] | 1133 | CASE ( 1 ) |
---|
[1721] | 1134 | DO k = nzb_u_inner(j,i)+1, nzb_u_inner(j,i)+pch_index |
---|
[138] | 1135 | |
---|
[1721] | 1136 | kk = k - nzb_u_inner(j,i) !- lad arrays are defined flat |
---|
[138] | 1137 | ! |
---|
[1484] | 1138 | !-- In order to create sharp boundaries of the plant canopy, |
---|
| 1139 | !-- the lad on the u-grid at index (k,j,i) is equal to lad_s(k,j,i), |
---|
| 1140 | !-- rather than being interpolated from the surrounding lad_s, |
---|
| 1141 | !-- because this would yield smaller lad at the canopy boundaries |
---|
| 1142 | !-- than inside of the canopy. |
---|
| 1143 | !-- For the same reason, the lad at the rightmost(i+1)canopy |
---|
| 1144 | !-- boundary on the u-grid equals lad_s(k,j,i). |
---|
[1721] | 1145 | lad_local = lad_s(kk,j,i) |
---|
| 1146 | IF ( lad_local == 0.0_wp .AND. lad_s(kk,j,i-1) > 0.0_wp ) THEN |
---|
| 1147 | lad_local = lad_s(kk,j,i-1) |
---|
[1484] | 1148 | ENDIF |
---|
| 1149 | |
---|
| 1150 | pre_tend = 0.0_wp |
---|
| 1151 | pre_u = 0.0_wp |
---|
| 1152 | ! |
---|
| 1153 | !-- Calculate preliminary value (pre_tend) of the tendency |
---|
| 1154 | pre_tend = - cdc * & |
---|
| 1155 | lad_local * & |
---|
| 1156 | SQRT( u(k,j,i)**2 + & |
---|
| 1157 | ( 0.25_wp * ( v(k,j,i-1) + & |
---|
| 1158 | v(k,j,i) + & |
---|
| 1159 | v(k,j+1,i) + & |
---|
| 1160 | v(k,j+1,i-1) ) & |
---|
| 1161 | )**2 + & |
---|
| 1162 | ( 0.25_wp * ( w(k-1,j,i-1) + & |
---|
| 1163 | w(k-1,j,i) + & |
---|
| 1164 | w(k,j,i-1) + & |
---|
| 1165 | w(k,j,i) ) & |
---|
| 1166 | )**2 & |
---|
| 1167 | ) * & |
---|
| 1168 | u(k,j,i) |
---|
| 1169 | |
---|
| 1170 | ! |
---|
| 1171 | !-- Calculate preliminary new velocity, based on pre_tend |
---|
| 1172 | pre_u = u(k,j,i) + dt_3d * pre_tend |
---|
| 1173 | ! |
---|
| 1174 | !-- Compare sign of old velocity and new preliminary velocity, |
---|
| 1175 | !-- and in case the signs are different, limit the tendency |
---|
| 1176 | IF ( SIGN(pre_u,u(k,j,i)) /= pre_u ) THEN |
---|
| 1177 | pre_tend = - u(k,j,i) * ddt_3d |
---|
| 1178 | ELSE |
---|
| 1179 | pre_tend = pre_tend |
---|
| 1180 | ENDIF |
---|
| 1181 | ! |
---|
| 1182 | !-- Calculate final tendency |
---|
| 1183 | tend(k,j,i) = tend(k,j,i) + pre_tend |
---|
| 1184 | ENDDO |
---|
| 1185 | |
---|
| 1186 | |
---|
| 1187 | ! |
---|
[142] | 1188 | !-- v-component |
---|
[1484] | 1189 | CASE ( 2 ) |
---|
[1721] | 1190 | DO k = nzb_v_inner(j,i)+1, nzb_v_inner(j,i)+pch_index |
---|
[138] | 1191 | |
---|
[1721] | 1192 | kk = k - nzb_v_inner(j,i) !- lad arrays are defined flat |
---|
[138] | 1193 | ! |
---|
[1484] | 1194 | !-- In order to create sharp boundaries of the plant canopy, |
---|
| 1195 | !-- the lad on the v-grid at index (k,j,i) is equal to lad_s(k,j,i), |
---|
| 1196 | !-- rather than being interpolated from the surrounding lad_s, |
---|
| 1197 | !-- because this would yield smaller lad at the canopy boundaries |
---|
| 1198 | !-- than inside of the canopy. |
---|
| 1199 | !-- For the same reason, the lad at the northmost(j+1)canopy |
---|
| 1200 | !-- boundary on the v-grid equals lad_s(k,j,i). |
---|
[1721] | 1201 | lad_local = lad_s(kk,j,i) |
---|
| 1202 | IF ( lad_local == 0.0_wp .AND. lad_s(kk,j-1,i) > 0.0_wp ) THEN |
---|
| 1203 | lad_local = lad_s(kk,j-1,i) |
---|
[1484] | 1204 | ENDIF |
---|
| 1205 | |
---|
| 1206 | pre_tend = 0.0_wp |
---|
| 1207 | pre_v = 0.0_wp |
---|
| 1208 | ! |
---|
| 1209 | !-- Calculate preliminary value (pre_tend) of the tendency |
---|
| 1210 | pre_tend = - cdc * & |
---|
| 1211 | lad_local * & |
---|
| 1212 | SQRT( ( 0.25_wp * ( u(k,j-1,i) + & |
---|
| 1213 | u(k,j-1,i+1) + & |
---|
| 1214 | u(k,j,i) + & |
---|
| 1215 | u(k,j,i+1) ) & |
---|
| 1216 | )**2 + & |
---|
| 1217 | v(k,j,i)**2 + & |
---|
| 1218 | ( 0.25_wp * ( w(k-1,j-1,i) + & |
---|
| 1219 | w(k-1,j,i) + & |
---|
| 1220 | w(k,j-1,i) + & |
---|
| 1221 | w(k,j,i) ) & |
---|
| 1222 | )**2 & |
---|
| 1223 | ) * & |
---|
| 1224 | v(k,j,i) |
---|
| 1225 | |
---|
| 1226 | ! |
---|
| 1227 | !-- Calculate preliminary new velocity, based on pre_tend |
---|
| 1228 | pre_v = v(k,j,i) + dt_3d * pre_tend |
---|
| 1229 | ! |
---|
| 1230 | !-- Compare sign of old velocity and new preliminary velocity, |
---|
| 1231 | !-- and in case the signs are different, limit the tendency |
---|
| 1232 | IF ( SIGN(pre_v,v(k,j,i)) /= pre_v ) THEN |
---|
| 1233 | pre_tend = - v(k,j,i) * ddt_3d |
---|
| 1234 | ELSE |
---|
| 1235 | pre_tend = pre_tend |
---|
| 1236 | ENDIF |
---|
| 1237 | ! |
---|
| 1238 | !-- Calculate final tendency |
---|
| 1239 | tend(k,j,i) = tend(k,j,i) + pre_tend |
---|
| 1240 | ENDDO |
---|
| 1241 | |
---|
| 1242 | |
---|
| 1243 | ! |
---|
[142] | 1244 | !-- w-component |
---|
[1484] | 1245 | CASE ( 3 ) |
---|
[1721] | 1246 | DO k = nzb_w_inner(j,i)+1, nzb_w_inner(j,i)+pch_index-1 |
---|
[138] | 1247 | |
---|
[1721] | 1248 | kk = k - nzb_w_inner(j,i) !- lad arrays are defined flat |
---|
| 1249 | |
---|
[1484] | 1250 | pre_tend = 0.0_wp |
---|
| 1251 | pre_w = 0.0_wp |
---|
[138] | 1252 | ! |
---|
[1484] | 1253 | !-- Calculate preliminary value (pre_tend) of the tendency |
---|
| 1254 | pre_tend = - cdc * & |
---|
| 1255 | (0.5_wp * & |
---|
[1721] | 1256 | ( lad_s(kk+1,j,i) + lad_s(kk,j,i) )) * & |
---|
[1484] | 1257 | SQRT( ( 0.25_wp * ( u(k,j,i) + & |
---|
| 1258 | u(k,j,i+1) + & |
---|
| 1259 | u(k+1,j,i) + & |
---|
| 1260 | u(k+1,j,i+1) ) & |
---|
| 1261 | )**2 + & |
---|
| 1262 | ( 0.25_wp * ( v(k,j,i) + & |
---|
| 1263 | v(k,j+1,i) + & |
---|
| 1264 | v(k+1,j,i) + & |
---|
| 1265 | v(k+1,j+1,i) ) & |
---|
| 1266 | )**2 + & |
---|
| 1267 | w(k,j,i)**2 & |
---|
| 1268 | ) * & |
---|
| 1269 | w(k,j,i) |
---|
| 1270 | ! |
---|
| 1271 | !-- Calculate preliminary new velocity, based on pre_tend |
---|
| 1272 | pre_w = w(k,j,i) + dt_3d * pre_tend |
---|
| 1273 | ! |
---|
| 1274 | !-- Compare sign of old velocity and new preliminary velocity, |
---|
| 1275 | !-- and in case the signs are different, limit the tendency |
---|
| 1276 | IF ( SIGN(pre_w,w(k,j,i)) /= pre_w ) THEN |
---|
| 1277 | pre_tend = - w(k,j,i) * ddt_3d |
---|
| 1278 | ELSE |
---|
| 1279 | pre_tend = pre_tend |
---|
| 1280 | ENDIF |
---|
| 1281 | ! |
---|
| 1282 | !-- Calculate final tendency |
---|
| 1283 | tend(k,j,i) = tend(k,j,i) + pre_tend |
---|
| 1284 | ENDDO |
---|
| 1285 | |
---|
| 1286 | ! |
---|
[153] | 1287 | !-- potential temperature |
---|
| 1288 | CASE ( 4 ) |
---|
[1721] | 1289 | DO k = nzb_s_inner(j,i)+1, nzb_s_inner(j,i)+pch_index |
---|
| 1290 | kk = k - nzb_s_inner(j,i) !- lad arrays are defined flat |
---|
[2011] | 1291 | tend(k,j,i) = tend(k,j,i) + pc_heating_rate(kk,j,i) |
---|
[153] | 1292 | ENDDO |
---|
| 1293 | |
---|
| 1294 | |
---|
| 1295 | ! |
---|
[1960] | 1296 | !-- humidity |
---|
[153] | 1297 | CASE ( 5 ) |
---|
[1721] | 1298 | DO k = nzb_s_inner(j,i)+1, nzb_s_inner(j,i)+pch_index |
---|
| 1299 | kk = k - nzb_s_inner(j,i) !- lad arrays are defined flat |
---|
[1484] | 1300 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 1301 | lsec * & |
---|
[1721] | 1302 | lad_s(kk,j,i) * & |
---|
[1484] | 1303 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
---|
| 1304 | u(k,j,i+1) ) & |
---|
| 1305 | )**2 + & |
---|
| 1306 | ( 0.5_wp * ( v(k,j,i) + & |
---|
| 1307 | v(k,j+1,i) ) & |
---|
| 1308 | )**2 + & |
---|
| 1309 | ( 0.5_wp * ( w(k-1,j,i) + & |
---|
| 1310 | w(k,j,i) ) & |
---|
| 1311 | )**2 & |
---|
| 1312 | ) * & |
---|
| 1313 | ( q(k,j,i) - lsc ) |
---|
[153] | 1314 | ENDDO |
---|
| 1315 | |
---|
| 1316 | ! |
---|
[142] | 1317 | !-- sgs-tke |
---|
[1484] | 1318 | CASE ( 6 ) |
---|
[1721] | 1319 | DO k = nzb_s_inner(j,i)+1, nzb_s_inner(j,i)+pch_index |
---|
| 1320 | kk = k - nzb_s_inner(j,i) !- lad arrays are defined flat |
---|
[1484] | 1321 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 1322 | 2.0_wp * cdc * & |
---|
[1721] | 1323 | lad_s(kk,j,i) * & |
---|
[1484] | 1324 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
---|
| 1325 | u(k,j,i+1) ) & |
---|
| 1326 | )**2 + & |
---|
| 1327 | ( 0.5_wp * ( v(k,j,i) + & |
---|
| 1328 | v(k,j+1,i) ) & |
---|
| 1329 | )**2 + & |
---|
| 1330 | ( 0.5_wp * ( w(k,j,i) + & |
---|
| 1331 | w(k+1,j,i) ) & |
---|
| 1332 | )**2 & |
---|
| 1333 | ) * & |
---|
| 1334 | e(k,j,i) |
---|
| 1335 | ENDDO |
---|
[1960] | 1336 | |
---|
| 1337 | ! |
---|
| 1338 | !-- scalar concentration |
---|
| 1339 | CASE ( 7 ) |
---|
| 1340 | DO k = nzb_s_inner(j,i)+1, nzb_s_inner(j,i)+pch_index |
---|
| 1341 | kk = k - nzb_s_inner(j,i) !- lad arrays are defined flat |
---|
| 1342 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 1343 | lsec * & |
---|
| 1344 | lad_s(kk,j,i) * & |
---|
| 1345 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
---|
| 1346 | u(k,j,i+1) ) & |
---|
| 1347 | )**2 + & |
---|
| 1348 | ( 0.5_wp * ( v(k,j,i) + & |
---|
| 1349 | v(k,j+1,i) ) & |
---|
| 1350 | )**2 + & |
---|
| 1351 | ( 0.5_wp * ( w(k-1,j,i) + & |
---|
| 1352 | w(k,j,i) ) & |
---|
| 1353 | )**2 & |
---|
| 1354 | ) * & |
---|
| 1355 | ( s(k,j,i) - lsc ) |
---|
| 1356 | ENDDO |
---|
[138] | 1357 | |
---|
[142] | 1358 | CASE DEFAULT |
---|
[138] | 1359 | |
---|
[257] | 1360 | WRITE( message_string, * ) 'wrong component: ', component |
---|
[1826] | 1361 | CALL message( 'pcm_tendency', 'PA0279', 1, 2, 0, 6, 0 ) |
---|
[138] | 1362 | |
---|
[142] | 1363 | END SELECT |
---|
[138] | 1364 | |
---|
[1826] | 1365 | END SUBROUTINE pcm_tendency_ij |
---|
[138] | 1366 | |
---|
[2007] | 1367 | |
---|
| 1368 | |
---|
[138] | 1369 | END MODULE plant_canopy_model_mod |
---|