[1682] | 1 | !> @file init_1d_model.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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[2101] | 17 | ! Copyright 1997-2017 Leibniz Universitaet Hannover |
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[2000] | 18 | !------------------------------------------------------------------------------! |
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[1036] | 19 | ! |
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[254] | 20 | ! Current revisions: |
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[1] | 21 | ! ----------------- |
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[1961] | 22 | ! |
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[2299] | 23 | ! |
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[1961] | 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: init_1d_model.f90 2334 2017-08-04 11:57:04Z gronemeier $ |
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[2334] | 27 | ! set c_m = 0.4 according to Detering and Etling (1985) |
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| 28 | ! |
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| 29 | ! 2299 2017-06-29 10:14:38Z maronga |
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[2299] | 30 | ! Removed german text |
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[1961] | 31 | ! |
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[2299] | 32 | ! 2101 2017-01-05 16:42:31Z suehring |
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| 33 | ! |
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[2060] | 34 | ! 2059 2016-11-10 14:20:40Z maronga |
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| 35 | ! Corrected min/max values of Rif. |
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| 36 | ! |
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[2001] | 37 | ! 2000 2016-08-20 18:09:15Z knoop |
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| 38 | ! Forced header and separation lines into 80 columns |
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| 39 | ! |
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[1961] | 40 | ! 1960 2016-07-12 16:34:24Z suehring |
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[1960] | 41 | ! Remove passive_scalar from IF-statements, as 1D-scalar profile is effectively |
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| 42 | ! not used. |
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| 43 | ! Formatting adjustment |
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[1809] | 44 | ! |
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| 45 | ! 1808 2016-04-05 19:44:00Z raasch |
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| 46 | ! routine local_flush replaced by FORTRAN statement |
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| 47 | ! |
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[1710] | 48 | ! 1709 2015-11-04 14:47:01Z maronga |
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| 49 | ! Set initial time step to 10 s to avoid instability of the 1d model for small |
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| 50 | ! grid spacings |
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| 51 | ! |
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[1698] | 52 | ! 1697 2015-10-28 17:14:10Z raasch |
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| 53 | ! small E- and F-FORMAT changes to avoid informative compiler messages about |
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| 54 | ! insufficient field width |
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| 55 | ! |
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[1692] | 56 | ! 1691 2015-10-26 16:17:44Z maronga |
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| 57 | ! Renamed prandtl_layer to constant_flux_layer. rif is replaced by ol and zeta. |
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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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[1354] | 62 | ! 1353 2014-04-08 15:21:23Z heinze |
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| 63 | ! REAL constants provided with KIND-attribute |
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| 64 | ! |
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[1347] | 65 | ! 1346 2014-03-27 13:18:20Z heinze |
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| 66 | ! Bugfix: REAL constants provided with KIND-attribute especially in call of |
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| 67 | ! intrinsic function like MAX, MIN, SIGN |
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| 68 | ! |
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[1323] | 69 | ! 1322 2014-03-20 16:38:49Z raasch |
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| 70 | ! REAL functions provided with KIND-attribute |
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| 71 | ! |
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[1321] | 72 | ! 1320 2014-03-20 08:40:49Z raasch |
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[1320] | 73 | ! ONLY-attribute added to USE-statements, |
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| 74 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 75 | ! kinds are defined in new module kinds, |
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| 76 | ! revision history before 2012 removed, |
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| 77 | ! comment fields (!:) to be used for variable explanations added to |
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| 78 | ! all variable declaration statements |
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[1321] | 79 | ! |
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[1037] | 80 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 81 | ! code put under GPL (PALM 3.9) |
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| 82 | ! |
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[1017] | 83 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 84 | ! adjustment of mixing length to the Prandtl mixing length at first grid point |
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| 85 | ! above ground removed |
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| 86 | ! |
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[1002] | 87 | ! 1001 2012-09-13 14:08:46Z raasch |
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| 88 | ! all actions concerning leapfrog scheme removed |
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| 89 | ! |
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[997] | 90 | ! 996 2012-09-07 10:41:47Z raasch |
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| 91 | ! little reformatting |
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| 92 | ! |
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[979] | 93 | ! 978 2012-08-09 08:28:32Z fricke |
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| 94 | ! roughness length for scalar quantities z0h1d added |
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| 95 | ! |
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[1] | 96 | ! Revision 1.1 1998/03/09 16:22:10 raasch |
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| 97 | ! Initial revision |
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| 98 | ! |
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| 99 | ! |
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| 100 | ! Description: |
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| 101 | ! ------------ |
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[1682] | 102 | !> 1D-model to initialize the 3D-arrays. |
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| 103 | !> The temperature profile is set as steady and a corresponding steady solution |
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| 104 | !> of the wind profile is being computed. |
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| 105 | !> All subroutines required can be found within this file. |
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[1691] | 106 | !> |
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| 107 | !> @todo harmonize code with new surface_layer_fluxes module |
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[1709] | 108 | !> @bug 1D model crashes when using small grid spacings in the order of 1 m |
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[1] | 109 | !------------------------------------------------------------------------------! |
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[1682] | 110 | SUBROUTINE init_1d_model |
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| 111 | |
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[1] | 112 | |
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[1320] | 113 | USE arrays_3d, & |
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| 114 | ONLY: l_grid, ug, u_init, vg, v_init, zu |
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| 115 | |
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| 116 | USE indices, & |
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| 117 | ONLY: nzb, nzt |
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| 118 | |
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| 119 | USE kinds |
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| 120 | |
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| 121 | USE model_1d, & |
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| 122 | ONLY: e1d, e1d_p, kh1d, km1d, l1d, l_black, qs1d, rif1d, & |
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| 123 | simulated_time_1d, te_e, te_em, te_u, te_um, te_v, te_vm, ts1d, & |
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| 124 | u1d, u1d_p, us1d, usws1d, v1d, v1d_p, vsws1d, z01d, z0h1d |
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| 125 | |
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| 126 | USE control_parameters, & |
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[1691] | 127 | ONLY: constant_diffusion, constant_flux_layer, f, humidity, kappa, & |
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[1960] | 128 | km_constant, mixing_length_1d, prandtl_number, & |
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[1691] | 129 | roughness_length, simulated_time_chr, z0h_factor |
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[1] | 130 | |
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| 131 | IMPLICIT NONE |
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| 132 | |
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[1682] | 133 | CHARACTER (LEN=9) :: time_to_string !< |
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[1320] | 134 | |
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[1682] | 135 | INTEGER(iwp) :: k !< |
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[1320] | 136 | |
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[1682] | 137 | REAL(wp) :: lambda !< |
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[1] | 138 | |
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| 139 | ! |
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| 140 | !-- Allocate required 1D-arrays |
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[1320] | 141 | ALLOCATE( e1d(nzb:nzt+1), e1d_p(nzb:nzt+1), & |
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| 142 | kh1d(nzb:nzt+1), km1d(nzb:nzt+1), & |
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| 143 | l_black(nzb:nzt+1), l1d(nzb:nzt+1), & |
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| 144 | rif1d(nzb:nzt+1), te_e(nzb:nzt+1), & |
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| 145 | te_em(nzb:nzt+1), te_u(nzb:nzt+1), te_um(nzb:nzt+1), & |
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| 146 | te_v(nzb:nzt+1), te_vm(nzb:nzt+1), u1d(nzb:nzt+1), & |
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| 147 | u1d_p(nzb:nzt+1), v1d(nzb:nzt+1), & |
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[1001] | 148 | v1d_p(nzb:nzt+1) ) |
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[1] | 149 | |
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| 150 | ! |
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| 151 | !-- Initialize arrays |
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| 152 | IF ( constant_diffusion ) THEN |
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[1001] | 153 | km1d = km_constant |
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| 154 | kh1d = km_constant / prandtl_number |
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[1] | 155 | ELSE |
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[1353] | 156 | e1d = 0.0_wp; e1d_p = 0.0_wp |
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| 157 | kh1d = 0.0_wp; km1d = 0.0_wp |
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| 158 | rif1d = 0.0_wp |
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[1] | 159 | ! |
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| 160 | !-- Compute the mixing length |
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[1353] | 161 | l_black(nzb) = 0.0_wp |
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[1] | 162 | |
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| 163 | IF ( TRIM( mixing_length_1d ) == 'blackadar' ) THEN |
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| 164 | ! |
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| 165 | !-- Blackadar mixing length |
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[1353] | 166 | IF ( f /= 0.0_wp ) THEN |
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| 167 | lambda = 2.7E-4_wp * SQRT( ug(nzt+1)**2 + vg(nzt+1)**2 ) / & |
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| 168 | ABS( f ) + 1E-10_wp |
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[1] | 169 | ELSE |
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[1353] | 170 | lambda = 30.0_wp |
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[1] | 171 | ENDIF |
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| 172 | |
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| 173 | DO k = nzb+1, nzt+1 |
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[1353] | 174 | l_black(k) = kappa * zu(k) / ( 1.0_wp + kappa * zu(k) / lambda ) |
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[1] | 175 | ENDDO |
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| 176 | |
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| 177 | ELSEIF ( TRIM( mixing_length_1d ) == 'as_in_3d_model' ) THEN |
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| 178 | ! |
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| 179 | !-- Use the same mixing length as in 3D model |
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| 180 | l_black(1:nzt) = l_grid |
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| 181 | l_black(nzt+1) = l_black(nzt) |
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| 182 | |
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| 183 | ENDIF |
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| 184 | ENDIF |
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| 185 | l1d = l_black |
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| 186 | u1d = u_init |
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| 187 | u1d_p = u_init |
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| 188 | v1d = v_init |
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| 189 | v1d_p = v_init |
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| 190 | |
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| 191 | ! |
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| 192 | !-- Set initial horizontal velocities at the lowest grid levels to a very small |
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| 193 | !-- value in order to avoid too small time steps caused by the diffusion limit |
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| 194 | !-- in the initial phase of a run (at k=1, dz/2 occurs in the limiting formula!) |
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[1353] | 195 | u1d(0:1) = 0.1_wp |
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| 196 | u1d_p(0:1) = 0.1_wp |
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| 197 | v1d(0:1) = 0.1_wp |
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| 198 | v1d_p(0:1) = 0.1_wp |
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[1] | 199 | |
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| 200 | ! |
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| 201 | !-- For u*, theta* and the momentum fluxes plausible values are set |
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[1691] | 202 | IF ( constant_flux_layer ) THEN |
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[1353] | 203 | us1d = 0.1_wp ! without initial friction the flow would not change |
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[1] | 204 | ELSE |
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[1353] | 205 | e1d(nzb+1) = 1.0_wp |
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| 206 | km1d(nzb+1) = 1.0_wp |
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| 207 | us1d = 0.0_wp |
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[1] | 208 | ENDIF |
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[1353] | 209 | ts1d = 0.0_wp |
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| 210 | usws1d = 0.0_wp |
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| 211 | vsws1d = 0.0_wp |
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[996] | 212 | z01d = roughness_length |
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[978] | 213 | z0h1d = z0h_factor * z01d |
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[1960] | 214 | IF ( humidity ) qs1d = 0.0_wp |
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[1] | 215 | |
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| 216 | ! |
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[46] | 217 | !-- Tendencies must be preset in order to avoid runtime errors within the |
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| 218 | !-- first Runge-Kutta step |
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[1353] | 219 | te_em = 0.0_wp |
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| 220 | te_um = 0.0_wp |
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| 221 | te_vm = 0.0_wp |
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[46] | 222 | |
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| 223 | ! |
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[1] | 224 | !-- Set start time in hh:mm:ss - format |
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| 225 | simulated_time_chr = time_to_string( simulated_time_1d ) |
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| 226 | |
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| 227 | ! |
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| 228 | !-- Integrate the 1D-model equations using the leap-frog scheme |
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| 229 | CALL time_integration_1d |
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| 230 | |
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| 231 | |
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| 232 | END SUBROUTINE init_1d_model |
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| 233 | |
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| 234 | |
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| 235 | |
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| 236 | !------------------------------------------------------------------------------! |
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| 237 | ! Description: |
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| 238 | ! ------------ |
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[1682] | 239 | !> Leap-frog time differencing scheme for the 1D-model. |
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[1] | 240 | !------------------------------------------------------------------------------! |
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[1682] | 241 | |
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| 242 | SUBROUTINE time_integration_1d |
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[1] | 243 | |
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[1682] | 244 | |
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[1320] | 245 | USE arrays_3d, & |
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| 246 | ONLY: dd2zu, ddzu, ddzw, l_grid, pt_init, q_init, ug, vg, zu |
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| 247 | |
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| 248 | USE control_parameters, & |
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[1691] | 249 | ONLY: constant_diffusion, constant_flux_layer, dissipation_1d, & |
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| 250 | humidity, intermediate_timestep_count, & |
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| 251 | intermediate_timestep_count_max, f, g, ibc_e_b, kappa, & |
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[1960] | 252 | mixing_length_1d, & |
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[2059] | 253 | simulated_time_chr, timestep_scheme, tsc |
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[1320] | 254 | |
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| 255 | USE indices, & |
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| 256 | ONLY: nzb, nzb_diff, nzt |
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| 257 | |
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| 258 | USE kinds |
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| 259 | |
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| 260 | USE model_1d, & |
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| 261 | ONLY: current_timestep_number_1d, damp_level_ind_1d, dt_1d, & |
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| 262 | dt_pr_1d, dt_run_control_1d, e1d, e1d_p, end_time_1d, & |
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| 263 | kh1d, km1d, l1d, l_black, qs1d, rif1d, simulated_time_1d, & |
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| 264 | stop_dt_1d, te_e, te_em, te_u, te_um, te_v, te_vm, time_pr_1d, & |
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| 265 | ts1d, time_run_control_1d, u1d, u1d_p, us1d, usws1d, v1d, & |
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| 266 | v1d_p, vsws1d, z01d, z0h1d |
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| 267 | |
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[1] | 268 | USE pegrid |
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| 269 | |
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| 270 | IMPLICIT NONE |
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| 271 | |
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[1682] | 272 | CHARACTER (LEN=9) :: time_to_string !< |
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[1320] | 273 | |
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[1682] | 274 | INTEGER(iwp) :: k !< |
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[1320] | 275 | |
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[1682] | 276 | REAL(wp) :: a !< |
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| 277 | REAL(wp) :: b !< |
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[2334] | 278 | REAL(wp) :: c_m = 0.4_wp !< model constant, 0.4 according to Detering and Etling (1985) |
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[1682] | 279 | REAL(wp) :: dissipation !< |
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| 280 | REAL(wp) :: dpt_dz !< |
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| 281 | REAL(wp) :: flux !< |
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| 282 | REAL(wp) :: kmzm !< |
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| 283 | REAL(wp) :: kmzp !< |
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| 284 | REAL(wp) :: l_stable !< |
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| 285 | REAL(wp) :: pt_0 !< |
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| 286 | REAL(wp) :: uv_total !< |
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[1] | 287 | |
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| 288 | ! |
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| 289 | !-- Determine the time step at the start of a 1D-simulation and |
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| 290 | !-- determine and printout quantities used for run control |
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[1709] | 291 | dt_1d = 10.0_wp |
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[1] | 292 | CALL run_control_1d |
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| 293 | |
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| 294 | ! |
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| 295 | !-- Start of time loop |
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| 296 | DO WHILE ( simulated_time_1d < end_time_1d .AND. .NOT. stop_dt_1d ) |
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| 297 | |
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| 298 | ! |
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| 299 | !-- Depending on the timestep scheme, carry out one or more intermediate |
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| 300 | !-- timesteps |
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| 301 | |
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| 302 | intermediate_timestep_count = 0 |
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| 303 | DO WHILE ( intermediate_timestep_count < & |
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| 304 | intermediate_timestep_count_max ) |
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| 305 | |
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| 306 | intermediate_timestep_count = intermediate_timestep_count + 1 |
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| 307 | |
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| 308 | CALL timestep_scheme_steering |
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| 309 | |
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| 310 | ! |
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| 311 | !-- Compute all tendency terms. If a Prandtl-layer is simulated, k starts |
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| 312 | !-- at nzb+2. |
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| 313 | DO k = nzb_diff, nzt |
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| 314 | |
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[1353] | 315 | kmzm = 0.5_wp * ( km1d(k-1) + km1d(k) ) |
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| 316 | kmzp = 0.5_wp * ( km1d(k) + km1d(k+1) ) |
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[1] | 317 | ! |
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| 318 | !-- u-component |
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| 319 | te_u(k) = f * ( v1d(k) - vg(k) ) + ( & |
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[1001] | 320 | kmzp * ( u1d(k+1) - u1d(k) ) * ddzu(k+1) & |
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| 321 | - kmzm * ( u1d(k) - u1d(k-1) ) * ddzu(k) & |
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| 322 | ) * ddzw(k) |
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[1] | 323 | ! |
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| 324 | !-- v-component |
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[1001] | 325 | te_v(k) = -f * ( u1d(k) - ug(k) ) + ( & |
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| 326 | kmzp * ( v1d(k+1) - v1d(k) ) * ddzu(k+1) & |
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| 327 | - kmzm * ( v1d(k) - v1d(k-1) ) * ddzu(k) & |
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| 328 | ) * ddzw(k) |
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[1] | 329 | ENDDO |
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| 330 | IF ( .NOT. constant_diffusion ) THEN |
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| 331 | DO k = nzb_diff, nzt |
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| 332 | ! |
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| 333 | !-- TKE |
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[1353] | 334 | kmzm = 0.5_wp * ( km1d(k-1) + km1d(k) ) |
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| 335 | kmzp = 0.5_wp * ( km1d(k) + km1d(k+1) ) |
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[75] | 336 | IF ( .NOT. humidity ) THEN |
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[1] | 337 | pt_0 = pt_init(k) |
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| 338 | flux = ( pt_init(k+1)-pt_init(k-1) ) * dd2zu(k) |
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| 339 | ELSE |
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[1353] | 340 | pt_0 = pt_init(k) * ( 1.0_wp + 0.61_wp * q_init(k) ) |
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| 341 | flux = ( ( pt_init(k+1) - pt_init(k-1) ) + & |
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| 342 | 0.61_wp * pt_init(k) * & |
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| 343 | ( q_init(k+1) - q_init(k-1) ) ) * dd2zu(k) |
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[1] | 344 | ENDIF |
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| 345 | |
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| 346 | IF ( dissipation_1d == 'detering' ) THEN |
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| 347 | ! |
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| 348 | !-- According to Detering, c_e=0.064 |
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[1353] | 349 | dissipation = 0.064_wp * e1d(k) * SQRT( e1d(k) ) / l1d(k) |
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[1] | 350 | ELSEIF ( dissipation_1d == 'as_in_3d_model' ) THEN |
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[1353] | 351 | dissipation = ( 0.19_wp + 0.74_wp * l1d(k) / l_grid(k) ) & |
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[1001] | 352 | * e1d(k) * SQRT( e1d(k) ) / l1d(k) |
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[1] | 353 | ENDIF |
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| 354 | |
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| 355 | te_e(k) = km1d(k) * ( ( ( u1d(k+1) - u1d(k-1) ) * dd2zu(k) )**2& |
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| 356 | + ( ( v1d(k+1) - v1d(k-1) ) * dd2zu(k) )**2& |
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| 357 | ) & |
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| 358 | - g / pt_0 * kh1d(k) * flux & |
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| 359 | + ( & |
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[1001] | 360 | kmzp * ( e1d(k+1) - e1d(k) ) * ddzu(k+1) & |
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| 361 | - kmzm * ( e1d(k) - e1d(k-1) ) * ddzu(k) & |
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[1] | 362 | ) * ddzw(k) & |
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[1001] | 363 | - dissipation |
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[1] | 364 | ENDDO |
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| 365 | ENDIF |
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| 366 | |
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| 367 | ! |
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| 368 | !-- Tendency terms at the top of the Prandtl-layer. |
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| 369 | !-- Finite differences of the momentum fluxes are computed using half the |
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| 370 | !-- normal grid length (2.0*ddzw(k)) for the sake of enhanced accuracy |
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[1691] | 371 | IF ( constant_flux_layer ) THEN |
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[1] | 372 | |
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| 373 | k = nzb+1 |
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[1353] | 374 | kmzm = 0.5_wp * ( km1d(k-1) + km1d(k) ) |
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| 375 | kmzp = 0.5_wp * ( km1d(k) + km1d(k+1) ) |
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[75] | 376 | IF ( .NOT. humidity ) THEN |
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[1] | 377 | pt_0 = pt_init(k) |
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| 378 | flux = ( pt_init(k+1)-pt_init(k-1) ) * dd2zu(k) |
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| 379 | ELSE |
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[1353] | 380 | pt_0 = pt_init(k) * ( 1.0_wp + 0.61_wp * q_init(k) ) |
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| 381 | flux = ( ( pt_init(k+1) - pt_init(k-1) ) + & |
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| 382 | 0.61_wp * pt_init(k) * ( q_init(k+1) - q_init(k-1) ) & |
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[1] | 383 | ) * dd2zu(k) |
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| 384 | ENDIF |
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| 385 | |
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| 386 | IF ( dissipation_1d == 'detering' ) THEN |
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| 387 | ! |
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| 388 | !-- According to Detering, c_e=0.064 |
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[1353] | 389 | dissipation = 0.064_wp * e1d(k) * SQRT( e1d(k) ) / l1d(k) |
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[1] | 390 | ELSEIF ( dissipation_1d == 'as_in_3d_model' ) THEN |
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[1353] | 391 | dissipation = ( 0.19_wp + 0.74_wp * l1d(k) / l_grid(k) ) & |
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[1001] | 392 | * e1d(k) * SQRT( e1d(k) ) / l1d(k) |
---|
[1] | 393 | ENDIF |
---|
| 394 | |
---|
| 395 | ! |
---|
| 396 | !-- u-component |
---|
[1001] | 397 | te_u(k) = f * ( v1d(k) - vg(k) ) + ( & |
---|
| 398 | kmzp * ( u1d(k+1) - u1d(k) ) * ddzu(k+1) + usws1d & |
---|
[1353] | 399 | ) * 2.0_wp * ddzw(k) |
---|
[1] | 400 | ! |
---|
| 401 | !-- v-component |
---|
[1001] | 402 | te_v(k) = -f * ( u1d(k) - ug(k) ) + ( & |
---|
| 403 | kmzp * ( v1d(k+1) - v1d(k) ) * ddzu(k+1) + vsws1d & |
---|
[1353] | 404 | ) * 2.0_wp * ddzw(k) |
---|
[1] | 405 | ! |
---|
| 406 | !-- TKE |
---|
| 407 | te_e(k) = km1d(k) * ( ( ( u1d(k+1) - u1d(k-1) ) * dd2zu(k) )**2 & |
---|
| 408 | + ( ( v1d(k+1) - v1d(k-1) ) * dd2zu(k) )**2 & |
---|
| 409 | ) & |
---|
| 410 | - g / pt_0 * kh1d(k) * flux & |
---|
| 411 | + ( & |
---|
[1001] | 412 | kmzp * ( e1d(k+1) - e1d(k) ) * ddzu(k+1) & |
---|
| 413 | - kmzm * ( e1d(k) - e1d(k-1) ) * ddzu(k) & |
---|
[1] | 414 | ) * ddzw(k) & |
---|
[1001] | 415 | - dissipation |
---|
[1] | 416 | ENDIF |
---|
| 417 | |
---|
| 418 | ! |
---|
| 419 | !-- Prognostic equations for all 1D variables |
---|
| 420 | DO k = nzb+1, nzt |
---|
| 421 | |
---|
[1001] | 422 | u1d_p(k) = u1d(k) + dt_1d * ( tsc(2) * te_u(k) + & |
---|
| 423 | tsc(3) * te_um(k) ) |
---|
| 424 | v1d_p(k) = v1d(k) + dt_1d * ( tsc(2) * te_v(k) + & |
---|
| 425 | tsc(3) * te_vm(k) ) |
---|
[1] | 426 | |
---|
| 427 | ENDDO |
---|
| 428 | IF ( .NOT. constant_diffusion ) THEN |
---|
| 429 | DO k = nzb+1, nzt |
---|
| 430 | |
---|
[1001] | 431 | e1d_p(k) = e1d(k) + dt_1d * ( tsc(2) * te_e(k) + & |
---|
| 432 | tsc(3) * te_em(k) ) |
---|
[1] | 433 | |
---|
| 434 | ENDDO |
---|
| 435 | ! |
---|
| 436 | !-- Eliminate negative TKE values, which can result from the |
---|
| 437 | !-- integration due to numerical inaccuracies. In such cases the TKE |
---|
| 438 | !-- value is reduced to 10 percent of its old value. |
---|
[1353] | 439 | WHERE ( e1d_p < 0.0_wp ) e1d_p = 0.1_wp * e1d |
---|
[1] | 440 | ENDIF |
---|
| 441 | |
---|
| 442 | ! |
---|
| 443 | !-- Calculate tendencies for the next Runge-Kutta step |
---|
| 444 | IF ( timestep_scheme(1:5) == 'runge' ) THEN |
---|
| 445 | IF ( intermediate_timestep_count == 1 ) THEN |
---|
| 446 | |
---|
| 447 | DO k = nzb+1, nzt |
---|
| 448 | te_um(k) = te_u(k) |
---|
| 449 | te_vm(k) = te_v(k) |
---|
| 450 | ENDDO |
---|
| 451 | |
---|
| 452 | IF ( .NOT. constant_diffusion ) THEN |
---|
| 453 | DO k = nzb+1, nzt |
---|
| 454 | te_em(k) = te_e(k) |
---|
| 455 | ENDDO |
---|
| 456 | ENDIF |
---|
| 457 | |
---|
| 458 | ELSEIF ( intermediate_timestep_count < & |
---|
| 459 | intermediate_timestep_count_max ) THEN |
---|
| 460 | |
---|
| 461 | DO k = nzb+1, nzt |
---|
[1353] | 462 | te_um(k) = -9.5625_wp * te_u(k) + 5.3125_wp * te_um(k) |
---|
| 463 | te_vm(k) = -9.5625_wp * te_v(k) + 5.3125_wp * te_vm(k) |
---|
[1] | 464 | ENDDO |
---|
| 465 | |
---|
| 466 | IF ( .NOT. constant_diffusion ) THEN |
---|
| 467 | DO k = nzb+1, nzt |
---|
[1353] | 468 | te_em(k) = -9.5625_wp * te_e(k) + 5.3125_wp * te_em(k) |
---|
[1] | 469 | ENDDO |
---|
| 470 | ENDIF |
---|
| 471 | |
---|
| 472 | ENDIF |
---|
| 473 | ENDIF |
---|
| 474 | |
---|
| 475 | |
---|
| 476 | ! |
---|
| 477 | !-- Boundary conditions for the prognostic variables. |
---|
| 478 | !-- At the top boundary (nzt+1) u,v and e keep their initial values |
---|
[2334] | 479 | !-- (ug(nzt+1), vg(nzt+1), 0). |
---|
| 480 | !-- At the bottom boundary, Dirichlet condition is used for u and v (0) |
---|
| 481 | !-- and Neumann condition for e (e(nzb)=e(nzb+1)). |
---|
[1353] | 482 | u1d_p(nzb) = 0.0_wp |
---|
| 483 | v1d_p(nzb) = 0.0_wp |
---|
[667] | 484 | |
---|
[1] | 485 | ! |
---|
| 486 | !-- Swap the time levels in preparation for the next time step. |
---|
| 487 | u1d = u1d_p |
---|
| 488 | v1d = v1d_p |
---|
| 489 | IF ( .NOT. constant_diffusion ) THEN |
---|
| 490 | e1d = e1d_p |
---|
| 491 | ENDIF |
---|
| 492 | |
---|
| 493 | ! |
---|
| 494 | !-- Compute diffusion quantities |
---|
| 495 | IF ( .NOT. constant_diffusion ) THEN |
---|
| 496 | |
---|
| 497 | ! |
---|
| 498 | !-- First compute the vertical fluxes in the Prandtl-layer |
---|
[1691] | 499 | IF ( constant_flux_layer ) THEN |
---|
[1] | 500 | ! |
---|
| 501 | !-- Compute theta* using Rif numbers of the previous time step |
---|
[2334] | 502 | IF ( rif1d(nzb+1) >= 0.0_wp ) THEN |
---|
[1] | 503 | ! |
---|
| 504 | !-- Stable stratification |
---|
[1353] | 505 | ts1d = kappa * ( pt_init(nzb+1) - pt_init(nzb) ) / & |
---|
| 506 | ( LOG( zu(nzb+1) / z0h1d ) + 5.0_wp * rif1d(nzb+1) * & |
---|
| 507 | ( zu(nzb+1) - z0h1d ) / zu(nzb+1) & |
---|
[1] | 508 | ) |
---|
| 509 | ELSE |
---|
| 510 | ! |
---|
| 511 | !-- Unstable stratification |
---|
[1353] | 512 | a = SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) ) |
---|
| 513 | b = SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) / & |
---|
| 514 | zu(nzb+1) * z0h1d ) |
---|
[1] | 515 | ! |
---|
| 516 | !-- In the borderline case the formula for stable stratification |
---|
| 517 | !-- must be applied, because otherwise a zero division would |
---|
| 518 | !-- occur in the argument of the logarithm. |
---|
[1353] | 519 | IF ( a == 0.0_wp .OR. b == 0.0_wp ) THEN |
---|
[996] | 520 | ts1d = kappa * ( pt_init(nzb+1) - pt_init(nzb) ) / & |
---|
[1353] | 521 | ( LOG( zu(nzb+1) / z0h1d ) + & |
---|
| 522 | 5.0_wp * rif1d(nzb+1) * & |
---|
| 523 | ( zu(nzb+1) - z0h1d ) / zu(nzb+1) & |
---|
[1] | 524 | ) |
---|
| 525 | ELSE |
---|
[1353] | 526 | ts1d = kappa * ( pt_init(nzb+1) - pt_init(nzb) ) / & |
---|
| 527 | LOG( (a-1.0_wp) / (a+1.0_wp) * & |
---|
| 528 | (b+1.0_wp) / (b-1.0_wp) ) |
---|
[1] | 529 | ENDIF |
---|
| 530 | ENDIF |
---|
| 531 | |
---|
[1691] | 532 | ENDIF ! constant_flux_layer |
---|
[1] | 533 | |
---|
| 534 | ! |
---|
| 535 | !-- Compute the Richardson-flux numbers, |
---|
| 536 | !-- first at the top of the Prandtl-layer using u* of the previous |
---|
| 537 | !-- time step (+1E-30, if u* = 0), then in the remaining area. There |
---|
| 538 | !-- the rif-numbers of the previous time step are used. |
---|
| 539 | |
---|
[1691] | 540 | IF ( constant_flux_layer ) THEN |
---|
[75] | 541 | IF ( .NOT. humidity ) THEN |
---|
[1] | 542 | pt_0 = pt_init(nzb+1) |
---|
| 543 | flux = ts1d |
---|
| 544 | ELSE |
---|
[1353] | 545 | pt_0 = pt_init(nzb+1) * ( 1.0_wp + 0.61_wp * q_init(nzb+1) ) |
---|
| 546 | flux = ts1d + 0.61_wp * pt_init(k) * qs1d |
---|
[1] | 547 | ENDIF |
---|
| 548 | rif1d(nzb+1) = zu(nzb+1) * kappa * g * flux / & |
---|
[1353] | 549 | ( pt_0 * ( us1d**2 + 1E-30_wp ) ) |
---|
[1] | 550 | ENDIF |
---|
| 551 | |
---|
| 552 | DO k = nzb_diff, nzt |
---|
[75] | 553 | IF ( .NOT. humidity ) THEN |
---|
[1] | 554 | pt_0 = pt_init(k) |
---|
| 555 | flux = ( pt_init(k+1) - pt_init(k-1) ) * dd2zu(k) |
---|
| 556 | ELSE |
---|
[1353] | 557 | pt_0 = pt_init(k) * ( 1.0_wp + 0.61_wp * q_init(k) ) |
---|
[1] | 558 | flux = ( ( pt_init(k+1) - pt_init(k-1) ) & |
---|
[1353] | 559 | + 0.61_wp * pt_init(k) & |
---|
| 560 | * ( q_init(k+1) - q_init(k-1) ) & |
---|
[1] | 561 | ) * dd2zu(k) |
---|
| 562 | ENDIF |
---|
[1353] | 563 | IF ( rif1d(k) >= 0.0_wp ) THEN |
---|
| 564 | rif1d(k) = g / pt_0 * flux / & |
---|
| 565 | ( ( ( u1d(k+1) - u1d(k-1) ) * dd2zu(k) )**2 & |
---|
| 566 | + ( ( v1d(k+1) - v1d(k-1) ) * dd2zu(k) )**2 & |
---|
| 567 | + 1E-30_wp & |
---|
[1] | 568 | ) |
---|
| 569 | ELSE |
---|
[1353] | 570 | rif1d(k) = g / pt_0 * flux / & |
---|
| 571 | ( ( ( u1d(k+1) - u1d(k-1) ) * dd2zu(k) )**2 & |
---|
| 572 | + ( ( v1d(k+1) - v1d(k-1) ) * dd2zu(k) )**2 & |
---|
| 573 | + 1E-30_wp & |
---|
| 574 | ) * ( 1.0_wp - 16.0_wp * rif1d(k) )**0.25_wp |
---|
[1] | 575 | ENDIF |
---|
| 576 | ENDDO |
---|
| 577 | ! |
---|
| 578 | !-- Richardson-numbers must remain restricted to a realistic value |
---|
| 579 | !-- range. It is exceeded excessively for very small velocities |
---|
| 580 | !-- (u,v --> 0). |
---|
[2059] | 581 | WHERE ( rif1d < -5.0_wp ) rif1d = -5.0_wp |
---|
| 582 | WHERE ( rif1d > 1.0_wp ) rif1d = 1.0_wp |
---|
[1] | 583 | |
---|
| 584 | ! |
---|
| 585 | !-- Compute u* from the absolute velocity value |
---|
[1691] | 586 | IF ( constant_flux_layer ) THEN |
---|
[1] | 587 | uv_total = SQRT( u1d(nzb+1)**2 + v1d(nzb+1)**2 ) |
---|
| 588 | |
---|
[1353] | 589 | IF ( rif1d(nzb+1) >= 0.0_wp ) THEN |
---|
[1] | 590 | ! |
---|
| 591 | !-- Stable stratification |
---|
| 592 | us1d = kappa * uv_total / ( & |
---|
[1353] | 593 | LOG( zu(nzb+1) / z01d ) + 5.0_wp * rif1d(nzb+1) * & |
---|
[1] | 594 | ( zu(nzb+1) - z01d ) / zu(nzb+1) & |
---|
| 595 | ) |
---|
| 596 | ELSE |
---|
| 597 | ! |
---|
| 598 | !-- Unstable stratification |
---|
[1353] | 599 | a = 1.0_wp / SQRT( SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) ) ) |
---|
| 600 | b = 1.0_wp / SQRT( SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) / & |
---|
| 601 | zu(nzb+1) * z01d ) ) |
---|
[1] | 602 | ! |
---|
| 603 | !-- In the borderline case the formula for stable stratification |
---|
| 604 | !-- must be applied, because otherwise a zero division would |
---|
| 605 | !-- occur in the argument of the logarithm. |
---|
[1353] | 606 | IF ( a == 1.0_wp .OR. b == 1.0_wp ) THEN |
---|
| 607 | us1d = kappa * uv_total / ( & |
---|
| 608 | LOG( zu(nzb+1) / z01d ) + & |
---|
| 609 | 5.0_wp * rif1d(nzb+1) * ( zu(nzb+1) - z01d ) / & |
---|
[1] | 610 | zu(nzb+1) ) |
---|
| 611 | ELSE |
---|
| 612 | us1d = kappa * uv_total / ( & |
---|
[1353] | 613 | LOG( (1.0_wp+b) / (1.0_wp-b) * (1.0_wp-a) / & |
---|
| 614 | (1.0_wp+a) ) + & |
---|
| 615 | 2.0_wp * ( ATAN( b ) - ATAN( a ) ) & |
---|
[1] | 616 | ) |
---|
| 617 | ENDIF |
---|
| 618 | ENDIF |
---|
| 619 | |
---|
| 620 | ! |
---|
| 621 | !-- Compute the momentum fluxes for the diffusion terms |
---|
| 622 | usws1d = - u1d(nzb+1) / uv_total * us1d**2 |
---|
| 623 | vsws1d = - v1d(nzb+1) / uv_total * us1d**2 |
---|
| 624 | |
---|
| 625 | ! |
---|
| 626 | !-- Boundary condition for the turbulent kinetic energy at the top |
---|
| 627 | !-- of the Prandtl-layer. c_m = 0.4 according to Detering. |
---|
| 628 | !-- Additional Neumann condition de/dz = 0 at nzb is set to ensure |
---|
| 629 | !-- compatibility with the 3D model. |
---|
| 630 | IF ( ibc_e_b == 2 ) THEN |
---|
[2334] | 631 | e1d(nzb+1) = ( us1d / c_m )**2 |
---|
[1] | 632 | ENDIF |
---|
| 633 | e1d(nzb) = e1d(nzb+1) |
---|
| 634 | |
---|
[1960] | 635 | IF ( humidity ) THEN |
---|
[1] | 636 | ! |
---|
| 637 | !-- Compute q* |
---|
[2334] | 638 | IF ( rif1d(nzb+1) >= 0.0_wp ) THEN |
---|
[1] | 639 | ! |
---|
[1960] | 640 | !-- Stable stratification |
---|
| 641 | qs1d = kappa * ( q_init(nzb+1) - q_init(nzb) ) / & |
---|
[1353] | 642 | ( LOG( zu(nzb+1) / z0h1d ) + 5.0_wp * rif1d(nzb+1) * & |
---|
| 643 | ( zu(nzb+1) - z0h1d ) / zu(nzb+1) & |
---|
[1] | 644 | ) |
---|
[1960] | 645 | ELSE |
---|
[1] | 646 | ! |
---|
[1960] | 647 | !-- Unstable stratification |
---|
| 648 | a = SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) ) |
---|
| 649 | b = SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) / & |
---|
| 650 | zu(nzb+1) * z0h1d ) |
---|
[1] | 651 | ! |
---|
[1960] | 652 | !-- In the borderline case the formula for stable stratification |
---|
| 653 | !-- must be applied, because otherwise a zero division would |
---|
| 654 | !-- occur in the argument of the logarithm. |
---|
| 655 | IF ( a == 1.0_wp .OR. b == 1.0_wp ) THEN |
---|
| 656 | qs1d = kappa * ( q_init(nzb+1) - q_init(nzb) ) / & |
---|
| 657 | ( LOG( zu(nzb+1) / z0h1d ) + & |
---|
| 658 | 5.0_wp * rif1d(nzb+1) * & |
---|
| 659 | ( zu(nzb+1) - z0h1d ) / zu(nzb+1) & |
---|
| 660 | ) |
---|
| 661 | ELSE |
---|
| 662 | qs1d = kappa * ( q_init(nzb+1) - q_init(nzb) ) / & |
---|
| 663 | LOG( (a-1.0_wp) / (a+1.0_wp) * & |
---|
| 664 | (b+1.0_wp) / (b-1.0_wp) ) |
---|
| 665 | ENDIF |
---|
| 666 | ENDIF |
---|
[1] | 667 | ELSE |
---|
[1353] | 668 | qs1d = 0.0_wp |
---|
[1] | 669 | ENDIF |
---|
| 670 | |
---|
[1691] | 671 | ENDIF ! constant_flux_layer |
---|
[1] | 672 | |
---|
| 673 | ! |
---|
| 674 | !-- Compute the diabatic mixing length |
---|
| 675 | IF ( mixing_length_1d == 'blackadar' ) THEN |
---|
| 676 | DO k = nzb+1, nzt |
---|
[1353] | 677 | IF ( rif1d(k) >= 0.0_wp ) THEN |
---|
| 678 | l1d(k) = l_black(k) / ( 1.0_wp + 5.0_wp * rif1d(k) ) |
---|
[1] | 679 | ELSE |
---|
[1353] | 680 | l1d(k) = l_black(k) * & |
---|
| 681 | ( 1.0_wp - 16.0_wp * rif1d(k) )**0.25_wp |
---|
[1] | 682 | ENDIF |
---|
| 683 | l1d(k) = l_black(k) |
---|
| 684 | ENDDO |
---|
| 685 | |
---|
| 686 | ELSEIF ( mixing_length_1d == 'as_in_3d_model' ) THEN |
---|
| 687 | DO k = nzb+1, nzt |
---|
| 688 | dpt_dz = ( pt_init(k+1) - pt_init(k-1) ) * dd2zu(k) |
---|
[1353] | 689 | IF ( dpt_dz > 0.0_wp ) THEN |
---|
| 690 | l_stable = 0.76_wp * SQRT( e1d(k) ) / & |
---|
| 691 | SQRT( g / pt_init(k) * dpt_dz ) + 1E-5_wp |
---|
[1] | 692 | ELSE |
---|
| 693 | l_stable = l_grid(k) |
---|
| 694 | ENDIF |
---|
| 695 | l1d(k) = MIN( l_grid(k), l_stable ) |
---|
| 696 | ENDDO |
---|
| 697 | ENDIF |
---|
| 698 | |
---|
| 699 | ! |
---|
| 700 | !-- Compute the diffusion coefficients for momentum via the |
---|
| 701 | !-- corresponding Prandtl-layer relationship and according to |
---|
| 702 | !-- Prandtl-Kolmogorov, respectively. The unstable stratification is |
---|
| 703 | !-- computed via the adiabatic mixing length, for the unstability has |
---|
| 704 | !-- already been taken account of via the TKE (cf. also Diss.). |
---|
[1691] | 705 | IF ( constant_flux_layer ) THEN |
---|
[1353] | 706 | IF ( rif1d(nzb+1) >= 0.0_wp ) THEN |
---|
| 707 | km1d(nzb+1) = us1d * kappa * zu(nzb+1) / & |
---|
| 708 | ( 1.0_wp + 5.0_wp * rif1d(nzb+1) ) |
---|
[1] | 709 | ELSE |
---|
[1353] | 710 | km1d(nzb+1) = us1d * kappa * zu(nzb+1) * & |
---|
| 711 | ( 1.0_wp - 16.0_wp * rif1d(nzb+1) )**0.25_wp |
---|
[1] | 712 | ENDIF |
---|
| 713 | ENDIF |
---|
| 714 | DO k = nzb_diff, nzt |
---|
[2334] | 715 | km1d(k) = c_m * SQRT( e1d(k) ) |
---|
| 716 | |
---|
[1353] | 717 | IF ( rif1d(k) >= 0.0_wp ) THEN |
---|
[1] | 718 | km1d(k) = km1d(k) * l1d(k) |
---|
| 719 | ELSE |
---|
| 720 | km1d(k) = km1d(k) * l_black(k) |
---|
| 721 | ENDIF |
---|
| 722 | ENDDO |
---|
| 723 | |
---|
| 724 | ! |
---|
| 725 | !-- Add damping layer |
---|
| 726 | DO k = damp_level_ind_1d+1, nzt+1 |
---|
[1353] | 727 | km1d(k) = 1.1_wp * km1d(k-1) |
---|
[1346] | 728 | km1d(k) = MIN( km1d(k), 10.0_wp ) |
---|
[1] | 729 | ENDDO |
---|
| 730 | |
---|
| 731 | ! |
---|
| 732 | !-- Compute the diffusion coefficient for heat via the relationship |
---|
| 733 | !-- kh = phim / phih * km |
---|
| 734 | DO k = nzb+1, nzt |
---|
[1353] | 735 | IF ( rif1d(k) >= 0.0_wp ) THEN |
---|
[1] | 736 | kh1d(k) = km1d(k) |
---|
| 737 | ELSE |
---|
[1353] | 738 | kh1d(k) = km1d(k) * ( 1.0_wp - 16.0_wp * rif1d(k) )**0.25_wp |
---|
[1] | 739 | ENDIF |
---|
| 740 | ENDDO |
---|
| 741 | |
---|
| 742 | ENDIF ! .NOT. constant_diffusion |
---|
| 743 | |
---|
| 744 | ENDDO ! intermediate step loop |
---|
| 745 | |
---|
| 746 | ! |
---|
| 747 | !-- Increment simulated time and output times |
---|
| 748 | current_timestep_number_1d = current_timestep_number_1d + 1 |
---|
| 749 | simulated_time_1d = simulated_time_1d + dt_1d |
---|
| 750 | simulated_time_chr = time_to_string( simulated_time_1d ) |
---|
| 751 | time_pr_1d = time_pr_1d + dt_1d |
---|
| 752 | time_run_control_1d = time_run_control_1d + dt_1d |
---|
| 753 | |
---|
| 754 | ! |
---|
| 755 | !-- Determine and print out quantities for run control |
---|
| 756 | IF ( time_run_control_1d >= dt_run_control_1d ) THEN |
---|
| 757 | CALL run_control_1d |
---|
| 758 | time_run_control_1d = time_run_control_1d - dt_run_control_1d |
---|
| 759 | ENDIF |
---|
| 760 | |
---|
| 761 | ! |
---|
| 762 | !-- Profile output on file |
---|
| 763 | IF ( time_pr_1d >= dt_pr_1d ) THEN |
---|
| 764 | CALL print_1d_model |
---|
| 765 | time_pr_1d = time_pr_1d - dt_pr_1d |
---|
| 766 | ENDIF |
---|
| 767 | |
---|
| 768 | ! |
---|
| 769 | !-- Determine size of next time step |
---|
| 770 | CALL timestep_1d |
---|
| 771 | |
---|
| 772 | ENDDO ! time loop |
---|
| 773 | |
---|
| 774 | |
---|
| 775 | END SUBROUTINE time_integration_1d |
---|
| 776 | |
---|
| 777 | |
---|
| 778 | !------------------------------------------------------------------------------! |
---|
| 779 | ! Description: |
---|
| 780 | ! ------------ |
---|
[1682] | 781 | !> Compute and print out quantities for run control of the 1D model. |
---|
[1] | 782 | !------------------------------------------------------------------------------! |
---|
[1682] | 783 | |
---|
| 784 | SUBROUTINE run_control_1d |
---|
[1] | 785 | |
---|
[1682] | 786 | |
---|
[1320] | 787 | USE constants, & |
---|
| 788 | ONLY: pi |
---|
| 789 | |
---|
| 790 | USE indices, & |
---|
| 791 | ONLY: nzb, nzt |
---|
| 792 | |
---|
| 793 | USE kinds |
---|
| 794 | |
---|
| 795 | USE model_1d, & |
---|
| 796 | ONLY: current_timestep_number_1d, dt_1d, run_control_header_1d, u1d, & |
---|
| 797 | us1d, v1d |
---|
| 798 | |
---|
[1] | 799 | USE pegrid |
---|
[1320] | 800 | |
---|
| 801 | USE control_parameters, & |
---|
| 802 | ONLY: simulated_time_chr |
---|
[1] | 803 | |
---|
| 804 | IMPLICIT NONE |
---|
| 805 | |
---|
[1682] | 806 | INTEGER(iwp) :: k !< |
---|
[1320] | 807 | |
---|
| 808 | REAL(wp) :: alpha |
---|
| 809 | REAL(wp) :: energy |
---|
| 810 | REAL(wp) :: umax |
---|
| 811 | REAL(wp) :: uv_total |
---|
| 812 | REAL(wp) :: vmax |
---|
[1] | 813 | |
---|
| 814 | ! |
---|
| 815 | !-- Output |
---|
| 816 | IF ( myid == 0 ) THEN |
---|
| 817 | ! |
---|
| 818 | !-- If necessary, write header |
---|
| 819 | IF ( .NOT. run_control_header_1d ) THEN |
---|
[184] | 820 | CALL check_open( 15 ) |
---|
[1] | 821 | WRITE ( 15, 100 ) |
---|
| 822 | run_control_header_1d = .TRUE. |
---|
| 823 | ENDIF |
---|
| 824 | |
---|
| 825 | ! |
---|
| 826 | !-- Compute control quantities |
---|
| 827 | !-- grid level nzp is excluded due to mirror boundary condition |
---|
[1353] | 828 | umax = 0.0_wp; vmax = 0.0_wp; energy = 0.0_wp |
---|
[1] | 829 | DO k = nzb+1, nzt+1 |
---|
| 830 | umax = MAX( ABS( umax ), ABS( u1d(k) ) ) |
---|
| 831 | vmax = MAX( ABS( vmax ), ABS( v1d(k) ) ) |
---|
[1353] | 832 | energy = energy + 0.5_wp * ( u1d(k)**2 + v1d(k)**2 ) |
---|
[1] | 833 | ENDDO |
---|
[1322] | 834 | energy = energy / REAL( nzt - nzb + 1, KIND=wp ) |
---|
[1] | 835 | |
---|
| 836 | uv_total = SQRT( u1d(nzb+1)**2 + v1d(nzb+1)**2 ) |
---|
[1691] | 837 | IF ( ABS( v1d(nzb+1) ) < 1.0E-5_wp ) THEN |
---|
[1346] | 838 | alpha = ACOS( SIGN( 1.0_wp , u1d(nzb+1) ) ) |
---|
[1] | 839 | ELSE |
---|
| 840 | alpha = ACOS( u1d(nzb+1) / uv_total ) |
---|
[1353] | 841 | IF ( v1d(nzb+1) <= 0.0_wp ) alpha = 2.0_wp * pi - alpha |
---|
[1] | 842 | ENDIF |
---|
[1353] | 843 | alpha = alpha / ( 2.0_wp * pi ) * 360.0_wp |
---|
[1] | 844 | |
---|
| 845 | WRITE ( 15, 101 ) current_timestep_number_1d, simulated_time_chr, & |
---|
| 846 | dt_1d, umax, vmax, us1d, alpha, energy |
---|
| 847 | ! |
---|
| 848 | !-- Write buffer contents to disc immediately |
---|
[1808] | 849 | FLUSH( 15 ) |
---|
[1] | 850 | |
---|
| 851 | ENDIF |
---|
| 852 | |
---|
| 853 | ! |
---|
| 854 | !-- formats |
---|
[2299] | 855 | 100 FORMAT (///'1D run control output:'/ & |
---|
[1] | 856 | &'------------------------------'// & |
---|
| 857 | &'ITER. HH:MM:SS DT UMAX VMAX U* ALPHA ENERG.'/ & |
---|
| 858 | &'-------------------------------------------------------------') |
---|
[1697] | 859 | 101 FORMAT (I5,2X,A9,1X,F6.2,2X,F6.2,1X,F6.2,1X,F6.3,2X,F5.1,2X,F7.2) |
---|
[1] | 860 | |
---|
| 861 | |
---|
| 862 | END SUBROUTINE run_control_1d |
---|
| 863 | |
---|
| 864 | |
---|
| 865 | |
---|
| 866 | !------------------------------------------------------------------------------! |
---|
| 867 | ! Description: |
---|
| 868 | ! ------------ |
---|
[1682] | 869 | !> Compute the time step w.r.t. the diffusion criterion |
---|
[1] | 870 | !------------------------------------------------------------------------------! |
---|
[1682] | 871 | |
---|
| 872 | SUBROUTINE timestep_1d |
---|
[1] | 873 | |
---|
[1682] | 874 | |
---|
[1320] | 875 | USE arrays_3d, & |
---|
| 876 | ONLY: dzu, zu |
---|
| 877 | |
---|
| 878 | USE indices, & |
---|
| 879 | ONLY: nzb, nzt |
---|
| 880 | |
---|
| 881 | USE kinds |
---|
| 882 | |
---|
| 883 | USE model_1d, & |
---|
| 884 | ONLY: dt_1d, dt_max_1d, km1d, old_dt_1d, stop_dt_1d |
---|
| 885 | |
---|
[1] | 886 | USE pegrid |
---|
[1320] | 887 | |
---|
[1709] | 888 | USE control_parameters, & |
---|
[1320] | 889 | ONLY: message_string |
---|
[1] | 890 | |
---|
| 891 | IMPLICIT NONE |
---|
| 892 | |
---|
[1682] | 893 | INTEGER(iwp) :: k !< |
---|
[1320] | 894 | |
---|
[1682] | 895 | REAL(wp) :: div !< |
---|
| 896 | REAL(wp) :: dt_diff !< |
---|
| 897 | REAL(wp) :: fac !< |
---|
| 898 | REAL(wp) :: value !< |
---|
[1] | 899 | |
---|
| 900 | |
---|
| 901 | ! |
---|
| 902 | !-- Compute the currently feasible time step according to the diffusion |
---|
| 903 | !-- criterion. At nzb+1 the half grid length is used. |
---|
[1353] | 904 | fac = 0.35_wp |
---|
[1] | 905 | dt_diff = dt_max_1d |
---|
| 906 | DO k = nzb+2, nzt |
---|
[1353] | 907 | value = fac * dzu(k) * dzu(k) / ( km1d(k) + 1E-20_wp ) |
---|
[1] | 908 | dt_diff = MIN( value, dt_diff ) |
---|
| 909 | ENDDO |
---|
[1353] | 910 | value = fac * zu(nzb+1) * zu(nzb+1) / ( km1d(nzb+1) + 1E-20_wp ) |
---|
[1] | 911 | dt_1d = MIN( value, dt_diff ) |
---|
| 912 | |
---|
| 913 | ! |
---|
| 914 | !-- Set flag when the time step becomes too small |
---|
[1353] | 915 | IF ( dt_1d < ( 0.00001_wp * dt_max_1d ) ) THEN |
---|
[1] | 916 | stop_dt_1d = .TRUE. |
---|
[254] | 917 | |
---|
| 918 | WRITE( message_string, * ) 'timestep has exceeded the lower limit &', & |
---|
| 919 | 'dt_1d = ',dt_1d,' s simulation stopped!' |
---|
| 920 | CALL message( 'timestep_1d', 'PA0192', 1, 2, 0, 6, 0 ) |
---|
| 921 | |
---|
[1] | 922 | ENDIF |
---|
| 923 | |
---|
| 924 | ! |
---|
[1001] | 925 | !-- A more or less simple new time step value is obtained taking only the |
---|
| 926 | !-- first two significant digits |
---|
[1353] | 927 | div = 1000.0_wp |
---|
[1001] | 928 | DO WHILE ( dt_1d < div ) |
---|
[1353] | 929 | div = div / 10.0_wp |
---|
[1001] | 930 | ENDDO |
---|
[1353] | 931 | dt_1d = NINT( dt_1d * 100.0_wp / div ) * div / 100.0_wp |
---|
[1] | 932 | |
---|
[1001] | 933 | old_dt_1d = dt_1d |
---|
[1] | 934 | |
---|
| 935 | |
---|
| 936 | END SUBROUTINE timestep_1d |
---|
| 937 | |
---|
| 938 | |
---|
| 939 | |
---|
| 940 | !------------------------------------------------------------------------------! |
---|
| 941 | ! Description: |
---|
| 942 | ! ------------ |
---|
[1682] | 943 | !> List output of profiles from the 1D-model |
---|
[1] | 944 | !------------------------------------------------------------------------------! |
---|
[1682] | 945 | |
---|
| 946 | SUBROUTINE print_1d_model |
---|
[1] | 947 | |
---|
[1682] | 948 | |
---|
[1320] | 949 | USE arrays_3d, & |
---|
| 950 | ONLY: pt_init, zu |
---|
| 951 | |
---|
| 952 | USE indices, & |
---|
| 953 | ONLY: nzb, nzt |
---|
| 954 | |
---|
| 955 | USE kinds |
---|
| 956 | |
---|
| 957 | USE model_1d, & |
---|
| 958 | ONLY: e1d, kh1d, km1d, l1d, rif1d, u1d, v1d |
---|
| 959 | |
---|
[1] | 960 | USE pegrid |
---|
[1320] | 961 | |
---|
| 962 | USE control_parameters, & |
---|
| 963 | ONLY: run_description_header, simulated_time_chr |
---|
[1] | 964 | |
---|
| 965 | IMPLICIT NONE |
---|
| 966 | |
---|
| 967 | |
---|
[1682] | 968 | INTEGER(iwp) :: k !< |
---|
[1] | 969 | |
---|
| 970 | |
---|
| 971 | IF ( myid == 0 ) THEN |
---|
| 972 | ! |
---|
| 973 | !-- Open list output file for profiles from the 1D-model |
---|
| 974 | CALL check_open( 17 ) |
---|
| 975 | |
---|
| 976 | ! |
---|
| 977 | !-- Write Header |
---|
| 978 | WRITE ( 17, 100 ) TRIM( run_description_header ), & |
---|
| 979 | TRIM( simulated_time_chr ) |
---|
| 980 | WRITE ( 17, 101 ) |
---|
| 981 | |
---|
| 982 | ! |
---|
| 983 | !-- Write the values |
---|
| 984 | WRITE ( 17, 102 ) |
---|
| 985 | WRITE ( 17, 101 ) |
---|
| 986 | DO k = nzt+1, nzb, -1 |
---|
| 987 | WRITE ( 17, 103) k, zu(k), u1d(k), v1d(k), pt_init(k), e1d(k), & |
---|
| 988 | rif1d(k), km1d(k), kh1d(k), l1d(k), zu(k), k |
---|
| 989 | ENDDO |
---|
| 990 | WRITE ( 17, 101 ) |
---|
| 991 | WRITE ( 17, 102 ) |
---|
| 992 | WRITE ( 17, 101 ) |
---|
| 993 | |
---|
| 994 | ! |
---|
| 995 | !-- Write buffer contents to disc immediately |
---|
[1808] | 996 | FLUSH( 17 ) |
---|
[1] | 997 | |
---|
| 998 | ENDIF |
---|
| 999 | |
---|
| 1000 | ! |
---|
| 1001 | !-- Formats |
---|
| 1002 | 100 FORMAT (//1X,A/1X,10('-')/' 1d-model profiles'/ & |
---|
| 1003 | ' Time: ',A) |
---|
| 1004 | 101 FORMAT (1X,79('-')) |
---|
| 1005 | 102 FORMAT (' k zu u v pt e rif Km Kh ', & |
---|
| 1006 | 'l zu k') |
---|
| 1007 | 103 FORMAT (1X,I4,1X,F7.1,1X,F6.2,1X,F6.2,1X,F6.2,1X,F6.2,1X,F5.2,1X,F5.2, & |
---|
| 1008 | 1X,F5.2,1X,F6.2,1X,F7.1,2X,I4) |
---|
| 1009 | |
---|
| 1010 | |
---|
| 1011 | END SUBROUTINE print_1d_model |
---|