[1873] | 1 | !> @file diffusion_s.f90 |
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[2000] | 2 | !------------------------------------------------------------------------------! |
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[2696] | 3 | ! This file is part of the PALM model system. |
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[1036] | 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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[484] | 20 | ! Current revisions: |
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[1001] | 21 | ! ------------------ |
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[1341] | 22 | ! |
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[2233] | 23 | ! |
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[1321] | 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: diffusion_s.f90 2696 2017-12-14 17:12:51Z raasch $ |
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| 27 | ! |
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[2233] | 28 | ! 2232 2017-05-30 17:47:52Z suehring |
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| 29 | ! Adjustments to new topography and surface concept |
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| 30 | ! |
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[2119] | 31 | ! 2118 2017-01-17 16:38:49Z raasch |
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| 32 | ! OpenACC version of subroutine removed |
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| 33 | ! |
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[2038] | 34 | ! 2037 2016-10-26 11:15:40Z knoop |
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| 35 | ! Anelastic approximation implemented |
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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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[1874] | 40 | ! 1873 2016-04-18 14:50:06Z maronga |
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| 41 | ! Module renamed (removed _mod) |
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[2118] | 42 | ! |
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[1851] | 43 | ! 1850 2016-04-08 13:29:27Z maronga |
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| 44 | ! Module renamed |
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| 45 | ! |
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[1692] | 46 | ! 1691 2015-10-26 16:17:44Z maronga |
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| 47 | ! Formatting corrections. |
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| 48 | ! |
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[1683] | 49 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 50 | ! Code annotations made doxygen readable |
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| 51 | ! |
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[1375] | 52 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 53 | ! missing variables added to ONLY list |
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| 54 | ! |
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[1341] | 55 | ! 1340 2014-03-25 19:45:13Z kanani |
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| 56 | ! REAL constants defined as wp-kind |
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| 57 | ! |
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[1321] | 58 | ! 1320 2014-03-20 08:40:49Z raasch |
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[1320] | 59 | ! ONLY-attribute added to USE-statements, |
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| 60 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 61 | ! kinds are defined in new module kinds, |
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| 62 | ! revision history before 2012 removed, |
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| 63 | ! comment fields (!:) to be used for variable explanations added to |
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| 64 | ! all variable declaration statements |
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[1321] | 65 | ! |
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[1258] | 66 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 67 | ! openacc loop and loop vector clauses removed |
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| 68 | ! |
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[1132] | 69 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 70 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 71 | ! j_north |
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| 72 | ! |
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[1093] | 73 | ! 1092 2013-02-02 11:24:22Z raasch |
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| 74 | ! unused variables removed |
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| 75 | ! |
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[1037] | 76 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 77 | ! code put under GPL (PALM 3.9) |
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| 78 | ! |
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[1017] | 79 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 80 | ! accelerator version (*_acc) added |
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| 81 | ! |
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[1011] | 82 | ! 1010 2012-09-20 07:59:54Z raasch |
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| 83 | ! cpp switch __nopointer added for pointer free version |
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| 84 | ! |
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[1002] | 85 | ! 1001 2012-09-13 14:08:46Z raasch |
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| 86 | ! some arrays comunicated by module instead of parameter list |
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| 87 | ! |
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[1] | 88 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
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| 89 | ! Initial revision |
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| 90 | ! |
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| 91 | ! |
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| 92 | ! Description: |
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| 93 | ! ------------ |
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[1682] | 94 | !> Diffusion term of scalar quantities (temperature and water content) |
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[1] | 95 | !------------------------------------------------------------------------------! |
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[1682] | 96 | MODULE diffusion_s_mod |
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| 97 | |
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[1] | 98 | |
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| 99 | PRIVATE |
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[2118] | 100 | PUBLIC diffusion_s |
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[1] | 101 | |
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| 102 | INTERFACE diffusion_s |
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| 103 | MODULE PROCEDURE diffusion_s |
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| 104 | MODULE PROCEDURE diffusion_s_ij |
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| 105 | END INTERFACE diffusion_s |
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| 106 | |
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| 107 | CONTAINS |
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| 108 | |
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| 109 | |
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| 110 | !------------------------------------------------------------------------------! |
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[1682] | 111 | ! Description: |
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| 112 | ! ------------ |
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| 113 | !> Call for all grid points |
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[1] | 114 | !------------------------------------------------------------------------------! |
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[2232] | 115 | SUBROUTINE diffusion_s( s, s_flux_def_h_up, s_flux_def_h_down, & |
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| 116 | s_flux_t, & |
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| 117 | s_flux_lsm_h_up, s_flux_usm_h_up, & |
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| 118 | s_flux_def_v_north, s_flux_def_v_south, & |
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| 119 | s_flux_def_v_east, s_flux_def_v_west, & |
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| 120 | s_flux_lsm_v_north, s_flux_lsm_v_south, & |
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| 121 | s_flux_lsm_v_east, s_flux_lsm_v_west, & |
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| 122 | s_flux_usm_v_north, s_flux_usm_v_south, & |
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| 123 | s_flux_usm_v_east, s_flux_usm_v_west ) |
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[1] | 124 | |
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[1320] | 125 | USE arrays_3d, & |
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[2037] | 126 | ONLY: ddzu, ddzw, kh, tend, drho_air, rho_air_zw |
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[1320] | 127 | |
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| 128 | USE control_parameters, & |
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| 129 | ONLY: use_surface_fluxes, use_top_fluxes |
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| 130 | |
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| 131 | USE grid_variables, & |
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[2232] | 132 | ONLY: ddx2, ddy2 |
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[1320] | 133 | |
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| 134 | USE indices, & |
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[1374] | 135 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, & |
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[2232] | 136 | nzt, wall_flags_0 |
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[1320] | 137 | |
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| 138 | USE kinds |
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[1] | 139 | |
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[2232] | 140 | USE surface_mod, & |
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| 141 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
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| 142 | surf_usm_v |
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| 143 | |
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[1] | 144 | IMPLICIT NONE |
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| 145 | |
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[2232] | 146 | INTEGER(iwp) :: i !< running index x direction |
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| 147 | INTEGER(iwp) :: j !< running index y direction |
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| 148 | INTEGER(iwp) :: k !< running index z direction |
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| 149 | INTEGER(iwp) :: m !< running index surface elements |
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| 150 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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| 151 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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| 152 | |
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| 153 | REAL(wp) :: flag !< flag to mask topography grid points |
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| 154 | REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface |
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| 155 | REAL(wp) :: mask_east !< flag to mask vertical surface east of the grid point |
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| 156 | REAL(wp) :: mask_north !< flag to mask vertical surface north of the grid point |
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| 157 | REAL(wp) :: mask_south !< flag to mask vertical surface south of the grid point |
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| 158 | REAL(wp) :: mask_west !< flag to mask vertical surface west of the grid point |
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| 159 | REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface |
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| 160 | |
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| 161 | REAL(wp), DIMENSION(1:surf_def_v(0)%ns) :: s_flux_def_v_north !< flux at north-facing vertical default-type surfaces |
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| 162 | REAL(wp), DIMENSION(1:surf_def_v(1)%ns) :: s_flux_def_v_south !< flux at south-facing vertical default-type surfaces |
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| 163 | REAL(wp), DIMENSION(1:surf_def_v(2)%ns) :: s_flux_def_v_east !< flux at east-facing vertical default-type surfaces |
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| 164 | REAL(wp), DIMENSION(1:surf_def_v(3)%ns) :: s_flux_def_v_west !< flux at west-facing vertical default-type surfaces |
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| 165 | REAL(wp), DIMENSION(1:surf_def_h(0)%ns) :: s_flux_def_h_up !< flux at horizontal upward-facing default-type surfaces |
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| 166 | REAL(wp), DIMENSION(1:surf_def_h(1)%ns) :: s_flux_def_h_down !< flux at horizontal donwward-facing default-type surfaces |
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| 167 | REAL(wp), DIMENSION(1:surf_lsm_h%ns) :: s_flux_lsm_h_up !< flux at horizontal upward-facing natural-type surfaces |
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| 168 | REAL(wp), DIMENSION(1:surf_lsm_v(0)%ns) :: s_flux_lsm_v_north !< flux at north-facing vertical natural-type surfaces |
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| 169 | REAL(wp), DIMENSION(1:surf_lsm_v(1)%ns) :: s_flux_lsm_v_south !< flux at south-facing vertical natural-type surfaces |
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| 170 | REAL(wp), DIMENSION(1:surf_lsm_v(2)%ns) :: s_flux_lsm_v_east !< flux at east-facing vertical natural-type surfaces |
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| 171 | REAL(wp), DIMENSION(1:surf_lsm_v(3)%ns) :: s_flux_lsm_v_west !< flux at west-facing vertical natural-type surfaces |
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| 172 | REAL(wp), DIMENSION(1:surf_usm_h%ns) :: s_flux_usm_h_up !< flux at horizontal upward-facing urban-type surfaces |
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| 173 | REAL(wp), DIMENSION(1:surf_usm_v(0)%ns) :: s_flux_usm_v_north !< flux at north-facing vertical urban-type surfaces |
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| 174 | REAL(wp), DIMENSION(1:surf_usm_v(1)%ns) :: s_flux_usm_v_south !< flux at south-facing vertical urban-type surfaces |
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| 175 | REAL(wp), DIMENSION(1:surf_usm_v(2)%ns) :: s_flux_usm_v_east !< flux at east-facing vertical urban-type surfaces |
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| 176 | REAL(wp), DIMENSION(1:surf_usm_v(3)%ns) :: s_flux_usm_v_west !< flux at west-facing vertical urban-type surfaces |
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| 177 | REAL(wp), DIMENSION(1:surf_def_h(2)%ns) :: s_flux_t !< flux at model top |
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[1010] | 178 | #if defined( __nopointer ) |
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[1682] | 179 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !< |
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[1010] | 180 | #else |
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[1682] | 181 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !< |
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[1010] | 182 | #endif |
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[1] | 183 | |
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| 184 | DO i = nxl, nxr |
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| 185 | DO j = nys,nyn |
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| 186 | ! |
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| 187 | !-- Compute horizontal diffusion |
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[2232] | 188 | DO k = nzb+1, nzt |
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| 189 | ! |
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| 190 | !-- Predetermine flag to mask topography and wall-bounded grid points |
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| 191 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
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| 192 | ! |
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| 193 | !-- Predetermine flag to mask wall-bounded grid points, equivalent to |
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| 194 | !-- former s_outer array |
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| 195 | mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
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| 196 | mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i+1), 0 ) ) |
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| 197 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
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| 198 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 0 ) ) |
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[1] | 199 | |
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[1320] | 200 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 201 | + 0.5_wp * ( & |
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[2232] | 202 | mask_east * ( kh(k,j,i) + kh(k,j,i+1) ) & |
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| 203 | * ( s(k,j,i+1) - s(k,j,i) ) & |
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| 204 | - mask_west * ( kh(k,j,i) + kh(k,j,i-1) ) & |
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| 205 | * ( s(k,j,i) - s(k,j,i-1) ) & |
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| 206 | ) * ddx2 * flag & |
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[1340] | 207 | + 0.5_wp * ( & |
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[2232] | 208 | mask_north * ( kh(k,j,i) + kh(k,j+1,i) ) & |
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| 209 | * ( s(k,j+1,i) - s(k,j,i) ) & |
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| 210 | - mask_south * ( kh(k,j,i) + kh(k,j-1,i) ) & |
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| 211 | * ( s(k,j,i) - s(k,j-1,i) ) & |
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| 212 | ) * ddy2 * flag |
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[1] | 213 | ENDDO |
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| 214 | |
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| 215 | ! |
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[2232] | 216 | !-- Apply prescribed horizontal wall heatflux where necessary. First, |
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| 217 | !-- determine start and end index for respective (j,i)-index. Please |
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| 218 | !-- note, in the flat case following loop will not be entered, as |
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| 219 | !-- surf_s=1 and surf_e=0. Furtermore, note, no vertical natural surfaces |
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| 220 | !-- so far. |
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| 221 | !-- First, for default-type surfaces |
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| 222 | !-- North-facing vertical default-type surfaces |
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| 223 | surf_s = surf_def_v(0)%start_index(j,i) |
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| 224 | surf_e = surf_def_v(0)%end_index(j,i) |
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| 225 | DO m = surf_s, surf_e |
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| 226 | k = surf_def_v(0)%k(m) |
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| 227 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_north(m) * ddy2 |
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| 228 | ENDDO |
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| 229 | ! |
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| 230 | !-- South-facing vertical default-type surfaces |
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| 231 | surf_s = surf_def_v(1)%start_index(j,i) |
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| 232 | surf_e = surf_def_v(1)%end_index(j,i) |
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| 233 | DO m = surf_s, surf_e |
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| 234 | k = surf_def_v(1)%k(m) |
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| 235 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_south(m) * ddy2 |
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| 236 | ENDDO |
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| 237 | ! |
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| 238 | !-- East-facing vertical default-type surfaces |
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| 239 | surf_s = surf_def_v(2)%start_index(j,i) |
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| 240 | surf_e = surf_def_v(2)%end_index(j,i) |
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| 241 | DO m = surf_s, surf_e |
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| 242 | k = surf_def_v(2)%k(m) |
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| 243 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_east(m) * ddx2 |
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| 244 | ENDDO |
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| 245 | ! |
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| 246 | !-- West-facing vertical default-type surfaces |
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| 247 | surf_s = surf_def_v(3)%start_index(j,i) |
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| 248 | surf_e = surf_def_v(3)%end_index(j,i) |
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| 249 | DO m = surf_s, surf_e |
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| 250 | k = surf_def_v(3)%k(m) |
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| 251 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_west(m) * ddx2 |
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| 252 | ENDDO |
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| 253 | ! |
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| 254 | !-- Now, for natural-type surfaces. |
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| 255 | !-- North-facing |
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| 256 | surf_s = surf_lsm_v(0)%start_index(j,i) |
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| 257 | surf_e = surf_lsm_v(0)%end_index(j,i) |
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| 258 | DO m = surf_s, surf_e |
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| 259 | k = surf_lsm_v(0)%k(m) |
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| 260 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_north(m) * ddy2 |
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| 261 | ENDDO |
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| 262 | ! |
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| 263 | !-- South-facing |
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| 264 | surf_s = surf_lsm_v(1)%start_index(j,i) |
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| 265 | surf_e = surf_lsm_v(1)%end_index(j,i) |
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| 266 | DO m = surf_s, surf_e |
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| 267 | k = surf_lsm_v(1)%k(m) |
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| 268 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_south(m) * ddy2 |
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| 269 | ENDDO |
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| 270 | ! |
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| 271 | !-- East-facing |
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| 272 | surf_s = surf_lsm_v(2)%start_index(j,i) |
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| 273 | surf_e = surf_lsm_v(2)%end_index(j,i) |
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| 274 | DO m = surf_s, surf_e |
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| 275 | k = surf_lsm_v(2)%k(m) |
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| 276 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_east(m) * ddx2 |
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| 277 | ENDDO |
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| 278 | ! |
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| 279 | !-- West-facing |
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| 280 | surf_s = surf_lsm_v(3)%start_index(j,i) |
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| 281 | surf_e = surf_lsm_v(3)%end_index(j,i) |
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| 282 | DO m = surf_s, surf_e |
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| 283 | k = surf_lsm_v(3)%k(m) |
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| 284 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_west(m) * ddx2 |
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| 285 | ENDDO |
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| 286 | ! |
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| 287 | !-- Now, for urban-type surfaces. |
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| 288 | !-- North-facing |
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| 289 | surf_s = surf_usm_v(0)%start_index(j,i) |
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| 290 | surf_e = surf_usm_v(0)%end_index(j,i) |
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| 291 | DO m = surf_s, surf_e |
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| 292 | k = surf_usm_v(0)%k(m) |
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| 293 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_north(m) * ddy2 |
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| 294 | ENDDO |
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| 295 | ! |
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| 296 | !-- South-facing |
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| 297 | surf_s = surf_usm_v(1)%start_index(j,i) |
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| 298 | surf_e = surf_usm_v(1)%end_index(j,i) |
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| 299 | DO m = surf_s, surf_e |
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| 300 | k = surf_usm_v(1)%k(m) |
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| 301 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_south(m) * ddy2 |
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| 302 | ENDDO |
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| 303 | ! |
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| 304 | !-- East-facing |
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| 305 | surf_s = surf_usm_v(2)%start_index(j,i) |
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| 306 | surf_e = surf_usm_v(2)%end_index(j,i) |
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| 307 | DO m = surf_s, surf_e |
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| 308 | k = surf_usm_v(2)%k(m) |
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| 309 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_east(m) * ddx2 |
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| 310 | ENDDO |
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| 311 | ! |
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| 312 | !-- West-facing |
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| 313 | surf_s = surf_usm_v(3)%start_index(j,i) |
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| 314 | surf_e = surf_usm_v(3)%end_index(j,i) |
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| 315 | DO m = surf_s, surf_e |
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| 316 | k = surf_usm_v(3)%k(m) |
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| 317 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_west(m) * ddx2 |
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| 318 | ENDDO |
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[1] | 319 | |
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| 320 | ! |
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| 321 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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[19] | 322 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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[2232] | 323 | !-- nzb+2 or nzt-1, respectively. Model top is also mask if top flux |
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| 324 | !-- is given. |
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| 325 | DO k = nzb+1, nzt |
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| 326 | ! |
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| 327 | !-- Determine flags to mask topography below and above. Flag 0 is |
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| 328 | !-- used to mask topography in general, and flag 8 implies |
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| 329 | !-- information about use_surface_fluxes. Flag 9 is used to control |
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| 330 | !-- flux at model top. |
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| 331 | mask_bottom = MERGE( 1.0_wp, 0.0_wp, & |
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| 332 | BTEST( wall_flags_0(k-1,j,i), 8 ) ) |
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| 333 | mask_top = MERGE( 1.0_wp, 0.0_wp, & |
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| 334 | BTEST( wall_flags_0(k+1,j,i), 8 ) ) * & |
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| 335 | MERGE( 1.0_wp, 0.0_wp, & |
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| 336 | BTEST( wall_flags_0(k+1,j,i), 9 ) ) |
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| 337 | flag = MERGE( 1.0_wp, 0.0_wp, & |
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| 338 | BTEST( wall_flags_0(k,j,i), 0 ) ) |
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[1] | 339 | |
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[1320] | 340 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 341 | + 0.5_wp * ( & |
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[2232] | 342 | ( kh(k,j,i) + kh(k+1,j,i) ) * & |
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| 343 | ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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[2037] | 344 | * rho_air_zw(k) & |
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[2232] | 345 | * mask_top & |
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| 346 | - ( kh(k,j,i) + kh(k-1,j,i) ) * & |
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| 347 | ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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[2037] | 348 | * rho_air_zw(k-1) & |
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[2232] | 349 | * mask_bottom & |
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| 350 | ) * ddzw(k) * drho_air(k) & |
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| 351 | * flag |
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[1] | 352 | ENDDO |
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| 353 | |
---|
| 354 | ! |
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[2232] | 355 | !-- Vertical diffusion at horizontal walls. |
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[1] | 356 | IF ( use_surface_fluxes ) THEN |
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[2232] | 357 | ! |
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| 358 | !-- Default-type surfaces, upward-facing |
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| 359 | surf_s = surf_def_h(0)%start_index(j,i) |
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| 360 | surf_e = surf_def_h(0)%end_index(j,i) |
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| 361 | DO m = surf_s, surf_e |
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[1] | 362 | |
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[2232] | 363 | k = surf_def_h(0)%k(m) |
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| 364 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_up(m) & |
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| 365 | * ddzw(k) * drho_air(k) |
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[1] | 366 | |
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[2232] | 367 | ENDDO |
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| 368 | ! |
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| 369 | !-- Default-type surfaces, downward-facing |
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| 370 | surf_s = surf_def_h(1)%start_index(j,i) |
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| 371 | surf_e = surf_def_h(1)%end_index(j,i) |
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| 372 | DO m = surf_s, surf_e |
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[1] | 373 | |
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[2232] | 374 | k = surf_def_h(1)%k(m) |
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| 375 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_down(m) & |
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| 376 | * ddzw(k) * drho_air(k) |
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[1] | 377 | |
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[2232] | 378 | ENDDO |
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[19] | 379 | ! |
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[2232] | 380 | !-- Natural-type surfaces, upward-facing |
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| 381 | surf_s = surf_lsm_h%start_index(j,i) |
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| 382 | surf_e = surf_lsm_h%end_index(j,i) |
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| 383 | DO m = surf_s, surf_e |
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[19] | 384 | |
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[2232] | 385 | k = surf_lsm_h%k(m) |
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| 386 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_h_up(m) & |
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| 387 | * ddzw(k) * drho_air(k) |
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[19] | 388 | |
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[2232] | 389 | ENDDO |
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| 390 | ! |
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| 391 | !-- Urban-type surfaces, upward-facing |
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| 392 | surf_s = surf_usm_h%start_index(j,i) |
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| 393 | surf_e = surf_usm_h%end_index(j,i) |
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| 394 | DO m = surf_s, surf_e |
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[19] | 395 | |
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[2232] | 396 | k = surf_usm_h%k(m) |
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| 397 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_h_up(m) & |
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| 398 | * ddzw(k) * drho_air(k) |
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| 399 | |
---|
| 400 | ENDDO |
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| 401 | |
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[19] | 402 | ENDIF |
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[2232] | 403 | ! |
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| 404 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
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| 405 | IF ( use_top_fluxes ) THEN |
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| 406 | surf_s = surf_def_h(2)%start_index(j,i) |
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| 407 | surf_e = surf_def_h(2)%end_index(j,i) |
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| 408 | DO m = surf_s, surf_e |
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[19] | 409 | |
---|
[2232] | 410 | k = surf_def_h(2)%k(m) |
---|
| 411 | tend(k,j,i) = tend(k,j,i) & |
---|
| 412 | + ( - s_flux_t(m) ) * ddzw(k) * drho_air(k) |
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| 413 | ENDDO |
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| 414 | ENDIF |
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| 415 | |
---|
[1] | 416 | ENDDO |
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| 417 | ENDDO |
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| 418 | |
---|
| 419 | END SUBROUTINE diffusion_s |
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| 420 | |
---|
| 421 | !------------------------------------------------------------------------------! |
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[1682] | 422 | ! Description: |
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| 423 | ! ------------ |
---|
| 424 | !> Call for grid point i,j |
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[1] | 425 | !------------------------------------------------------------------------------! |
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[2232] | 426 | SUBROUTINE diffusion_s_ij( i, j, s, & |
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| 427 | s_flux_def_h_up, s_flux_def_h_down, & |
---|
| 428 | s_flux_t, & |
---|
| 429 | s_flux_lsm_h_up, s_flux_usm_h_up, & |
---|
| 430 | s_flux_def_v_north, s_flux_def_v_south, & |
---|
| 431 | s_flux_def_v_east, s_flux_def_v_west, & |
---|
| 432 | s_flux_lsm_v_north, s_flux_lsm_v_south, & |
---|
| 433 | s_flux_lsm_v_east, s_flux_lsm_v_west, & |
---|
| 434 | s_flux_usm_v_north, s_flux_usm_v_south, & |
---|
| 435 | s_flux_usm_v_east, s_flux_usm_v_west ) |
---|
[1] | 436 | |
---|
[1320] | 437 | USE arrays_3d, & |
---|
[2037] | 438 | ONLY: ddzu, ddzw, kh, tend, drho_air, rho_air_zw |
---|
[1320] | 439 | |
---|
| 440 | USE control_parameters, & |
---|
| 441 | ONLY: use_surface_fluxes, use_top_fluxes |
---|
| 442 | |
---|
| 443 | USE grid_variables, & |
---|
[2232] | 444 | ONLY: ddx2, ddy2 |
---|
[1320] | 445 | |
---|
| 446 | USE indices, & |
---|
[2232] | 447 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt, wall_flags_0 |
---|
[1320] | 448 | |
---|
| 449 | USE kinds |
---|
[1] | 450 | |
---|
[2232] | 451 | USE surface_mod, & |
---|
| 452 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
---|
| 453 | surf_usm_v |
---|
| 454 | |
---|
[1] | 455 | IMPLICIT NONE |
---|
| 456 | |
---|
[2232] | 457 | INTEGER(iwp) :: i !< running index x direction |
---|
| 458 | INTEGER(iwp) :: j !< running index y direction |
---|
| 459 | INTEGER(iwp) :: k !< running index z direction |
---|
| 460 | INTEGER(iwp) :: m !< running index surface elements |
---|
| 461 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
---|
| 462 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
---|
| 463 | |
---|
| 464 | REAL(wp) :: flag !< flag to mask topography grid points |
---|
| 465 | REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface |
---|
| 466 | REAL(wp) :: mask_east !< flag to mask vertical surface east of the grid point |
---|
| 467 | REAL(wp) :: mask_north !< flag to mask vertical surface north of the grid point |
---|
| 468 | REAL(wp) :: mask_south !< flag to mask vertical surface south of the grid point |
---|
| 469 | REAL(wp) :: mask_west !< flag to mask vertical surface west of the grid point |
---|
| 470 | REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface |
---|
| 471 | |
---|
| 472 | REAL(wp), DIMENSION(1:surf_def_v(0)%ns) :: s_flux_def_v_north !< flux at north-facing vertical default-type surfaces |
---|
| 473 | REAL(wp), DIMENSION(1:surf_def_v(1)%ns) :: s_flux_def_v_south !< flux at south-facing vertical default-type surfaces |
---|
| 474 | REAL(wp), DIMENSION(1:surf_def_v(2)%ns) :: s_flux_def_v_east !< flux at east-facing vertical default-type surfaces |
---|
| 475 | REAL(wp), DIMENSION(1:surf_def_v(3)%ns) :: s_flux_def_v_west !< flux at west-facing vertical default-type surfaces |
---|
| 476 | REAL(wp), DIMENSION(1:surf_def_h(0)%ns) :: s_flux_def_h_up !< flux at horizontal upward-facing default-type surfaces |
---|
| 477 | REAL(wp), DIMENSION(1:surf_def_h(1)%ns) :: s_flux_def_h_down !< flux at horizontal donwward-facing default-type surfaces |
---|
| 478 | REAL(wp), DIMENSION(1:surf_lsm_h%ns) :: s_flux_lsm_h_up !< flux at horizontal upward-facing natural-type surfaces |
---|
| 479 | REAL(wp), DIMENSION(1:surf_lsm_v(0)%ns) :: s_flux_lsm_v_north !< flux at north-facing vertical urban-type surfaces |
---|
| 480 | REAL(wp), DIMENSION(1:surf_lsm_v(1)%ns) :: s_flux_lsm_v_south !< flux at south-facing vertical urban-type surfaces |
---|
| 481 | REAL(wp), DIMENSION(1:surf_lsm_v(2)%ns) :: s_flux_lsm_v_east !< flux at east-facing vertical urban-type surfaces |
---|
| 482 | REAL(wp), DIMENSION(1:surf_lsm_v(3)%ns) :: s_flux_lsm_v_west !< flux at west-facing vertical urban-type surfaces |
---|
| 483 | REAL(wp), DIMENSION(1:surf_usm_h%ns) :: s_flux_usm_h_up !< flux at horizontal upward-facing urban-type surfaces |
---|
| 484 | REAL(wp), DIMENSION(1:surf_usm_v(0)%ns) :: s_flux_usm_v_north !< flux at north-facing vertical urban-type surfaces |
---|
| 485 | REAL(wp), DIMENSION(1:surf_usm_v(1)%ns) :: s_flux_usm_v_south !< flux at south-facing vertical urban-type surfaces |
---|
| 486 | REAL(wp), DIMENSION(1:surf_usm_v(2)%ns) :: s_flux_usm_v_east !< flux at east-facing vertical urban-type surfaces |
---|
| 487 | REAL(wp), DIMENSION(1:surf_usm_v(3)%ns) :: s_flux_usm_v_west !< flux at west-facing vertical urban-type surfaces |
---|
| 488 | REAL(wp), DIMENSION(1:surf_def_h(2)%ns) :: s_flux_t !< flux at model top |
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[1010] | 489 | #if defined( __nopointer ) |
---|
[1682] | 490 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !< |
---|
[1010] | 491 | #else |
---|
[1682] | 492 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !< |
---|
[1010] | 493 | #endif |
---|
[1] | 494 | |
---|
| 495 | ! |
---|
| 496 | !-- Compute horizontal diffusion |
---|
[2232] | 497 | DO k = nzb+1, nzt |
---|
| 498 | ! |
---|
| 499 | !-- Predetermine flag to mask topography and wall-bounded grid points |
---|
| 500 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 501 | ! |
---|
| 502 | !-- Predetermine flag to mask wall-bounded grid points, equivalent to |
---|
| 503 | !-- former s_outer array |
---|
| 504 | mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
---|
| 505 | mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i+1), 0 ) ) |
---|
| 506 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
---|
| 507 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 0 ) ) |
---|
| 508 | ! |
---|
| 509 | !-- Finally, determine flag to mask both topography itself as well |
---|
| 510 | !-- as wall-bounded grid points, which will be treated further below |
---|
[1] | 511 | |
---|
[1320] | 512 | tend(k,j,i) = tend(k,j,i) & |
---|
[1340] | 513 | + 0.5_wp * ( & |
---|
[2232] | 514 | mask_east * ( kh(k,j,i) + kh(k,j,i+1) ) & |
---|
| 515 | * ( s(k,j,i+1) - s(k,j,i) ) & |
---|
| 516 | - mask_west * ( kh(k,j,i) + kh(k,j,i-1) ) & |
---|
| 517 | * ( s(k,j,i) - s(k,j,i-1) ) & |
---|
| 518 | ) * ddx2 * flag & |
---|
[1340] | 519 | + 0.5_wp * ( & |
---|
[2232] | 520 | mask_north * ( kh(k,j,i) + kh(k,j+1,i) ) & |
---|
| 521 | * ( s(k,j+1,i) - s(k,j,i) ) & |
---|
| 522 | - mask_south * ( kh(k,j,i) + kh(k,j-1,i) ) & |
---|
| 523 | * ( s(k,j,i) - s(k,j-1,i) ) & |
---|
| 524 | ) * ddy2 * flag |
---|
[1] | 525 | ENDDO |
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| 526 | |
---|
| 527 | ! |
---|
[2232] | 528 | !-- Apply prescribed horizontal wall heatflux where necessary. First, |
---|
| 529 | !-- determine start and end index for respective (j,i)-index. Please |
---|
| 530 | !-- note, in the flat case following loops will not be entered, as |
---|
| 531 | !-- surf_s=1 and surf_e=0. Furtermore, note, no vertical natural surfaces |
---|
| 532 | !-- so far. |
---|
| 533 | !-- First, for default-type surfaces |
---|
| 534 | !-- North-facing vertical default-type surfaces |
---|
| 535 | surf_s = surf_def_v(0)%start_index(j,i) |
---|
| 536 | surf_e = surf_def_v(0)%end_index(j,i) |
---|
| 537 | DO m = surf_s, surf_e |
---|
| 538 | k = surf_def_v(0)%k(m) |
---|
| 539 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_north(m) * ddy2 |
---|
| 540 | ENDDO |
---|
| 541 | ! |
---|
| 542 | !-- South-facing vertical default-type surfaces |
---|
| 543 | surf_s = surf_def_v(1)%start_index(j,i) |
---|
| 544 | surf_e = surf_def_v(1)%end_index(j,i) |
---|
| 545 | DO m = surf_s, surf_e |
---|
| 546 | k = surf_def_v(1)%k(m) |
---|
| 547 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_south(m) * ddy2 |
---|
| 548 | ENDDO |
---|
| 549 | ! |
---|
| 550 | !-- East-facing vertical default-type surfaces |
---|
| 551 | surf_s = surf_def_v(2)%start_index(j,i) |
---|
| 552 | surf_e = surf_def_v(2)%end_index(j,i) |
---|
| 553 | DO m = surf_s, surf_e |
---|
| 554 | k = surf_def_v(2)%k(m) |
---|
| 555 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_east(m) * ddx2 |
---|
| 556 | ENDDO |
---|
| 557 | ! |
---|
| 558 | !-- West-facing vertical default-type surfaces |
---|
| 559 | surf_s = surf_def_v(3)%start_index(j,i) |
---|
| 560 | surf_e = surf_def_v(3)%end_index(j,i) |
---|
| 561 | DO m = surf_s, surf_e |
---|
| 562 | k = surf_def_v(3)%k(m) |
---|
| 563 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_west(m) * ddx2 |
---|
| 564 | ENDDO |
---|
| 565 | ! |
---|
| 566 | !-- Now, for natural-type surfaces |
---|
| 567 | !-- North-facing |
---|
| 568 | surf_s = surf_lsm_v(0)%start_index(j,i) |
---|
| 569 | surf_e = surf_lsm_v(0)%end_index(j,i) |
---|
| 570 | DO m = surf_s, surf_e |
---|
| 571 | k = surf_lsm_v(0)%k(m) |
---|
| 572 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_north(m) * ddy2 |
---|
| 573 | ENDDO |
---|
| 574 | ! |
---|
| 575 | !-- South-facing |
---|
| 576 | surf_s = surf_lsm_v(1)%start_index(j,i) |
---|
| 577 | surf_e = surf_lsm_v(1)%end_index(j,i) |
---|
| 578 | DO m = surf_s, surf_e |
---|
| 579 | k = surf_lsm_v(1)%k(m) |
---|
| 580 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_south(m) * ddy2 |
---|
| 581 | ENDDO |
---|
| 582 | ! |
---|
| 583 | !-- East-facing |
---|
| 584 | surf_s = surf_lsm_v(2)%start_index(j,i) |
---|
| 585 | surf_e = surf_lsm_v(2)%end_index(j,i) |
---|
| 586 | DO m = surf_s, surf_e |
---|
| 587 | k = surf_lsm_v(2)%k(m) |
---|
| 588 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_east(m) * ddx2 |
---|
| 589 | ENDDO |
---|
| 590 | ! |
---|
| 591 | !-- West-facing |
---|
| 592 | surf_s = surf_lsm_v(3)%start_index(j,i) |
---|
| 593 | surf_e = surf_lsm_v(3)%end_index(j,i) |
---|
| 594 | DO m = surf_s, surf_e |
---|
| 595 | k = surf_lsm_v(3)%k(m) |
---|
| 596 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_west(m) * ddx2 |
---|
| 597 | ENDDO |
---|
| 598 | ! |
---|
| 599 | !-- Now, for urban-type surfaces |
---|
| 600 | !-- North-facing |
---|
| 601 | surf_s = surf_usm_v(0)%start_index(j,i) |
---|
| 602 | surf_e = surf_usm_v(0)%end_index(j,i) |
---|
| 603 | DO m = surf_s, surf_e |
---|
| 604 | k = surf_usm_v(0)%k(m) |
---|
| 605 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_north(m) * ddy2 |
---|
| 606 | ENDDO |
---|
| 607 | ! |
---|
| 608 | !-- South-facing |
---|
| 609 | surf_s = surf_usm_v(1)%start_index(j,i) |
---|
| 610 | surf_e = surf_usm_v(1)%end_index(j,i) |
---|
| 611 | DO m = surf_s, surf_e |
---|
| 612 | k = surf_usm_v(1)%k(m) |
---|
| 613 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_south(m) * ddy2 |
---|
| 614 | ENDDO |
---|
| 615 | ! |
---|
| 616 | !-- East-facing |
---|
| 617 | surf_s = surf_usm_v(2)%start_index(j,i) |
---|
| 618 | surf_e = surf_usm_v(2)%end_index(j,i) |
---|
| 619 | DO m = surf_s, surf_e |
---|
| 620 | k = surf_usm_v(2)%k(m) |
---|
| 621 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_east(m) * ddx2 |
---|
| 622 | ENDDO |
---|
| 623 | ! |
---|
| 624 | !-- West-facing |
---|
| 625 | surf_s = surf_usm_v(3)%start_index(j,i) |
---|
| 626 | surf_e = surf_usm_v(3)%end_index(j,i) |
---|
| 627 | DO m = surf_s, surf_e |
---|
| 628 | k = surf_usm_v(3)%k(m) |
---|
| 629 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_west(m) * ddx2 |
---|
| 630 | ENDDO |
---|
[1] | 631 | |
---|
| 632 | |
---|
| 633 | ! |
---|
| 634 | !-- Compute vertical diffusion. In case that surface fluxes have been |
---|
[19] | 635 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
---|
[2232] | 636 | !-- nzb+2 or nzt-1, respectively. Model top is also mask if top flux |
---|
| 637 | !-- is given. |
---|
| 638 | DO k = nzb+1, nzt |
---|
| 639 | ! |
---|
| 640 | !-- Determine flags to mask topography below and above. Flag 0 is |
---|
| 641 | !-- used to mask topography in general, and flag 8 implies |
---|
| 642 | !-- information about use_surface_fluxes. Flag 9 is used to control |
---|
| 643 | !-- flux at model top. |
---|
| 644 | mask_bottom = MERGE( 1.0_wp, 0.0_wp, & |
---|
| 645 | BTEST( wall_flags_0(k-1,j,i), 8 ) ) |
---|
| 646 | mask_top = MERGE( 1.0_wp, 0.0_wp, & |
---|
| 647 | BTEST( wall_flags_0(k+1,j,i), 8 ) ) * & |
---|
| 648 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 649 | BTEST( wall_flags_0(k+1,j,i), 9 ) ) |
---|
| 650 | flag = MERGE( 1.0_wp, 0.0_wp, & |
---|
| 651 | BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
[1] | 652 | |
---|
[1320] | 653 | tend(k,j,i) = tend(k,j,i) & |
---|
[1340] | 654 | + 0.5_wp * ( & |
---|
[2232] | 655 | ( kh(k,j,i) + kh(k+1,j,i) ) * & |
---|
| 656 | ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
---|
[2037] | 657 | * rho_air_zw(k) & |
---|
[2232] | 658 | * mask_top & |
---|
| 659 | - ( kh(k,j,i) + kh(k-1,j,i) ) * & |
---|
| 660 | ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
---|
[2037] | 661 | * rho_air_zw(k-1) & |
---|
[2232] | 662 | * mask_bottom & |
---|
| 663 | ) * ddzw(k) * drho_air(k) & |
---|
| 664 | * flag |
---|
[1] | 665 | ENDDO |
---|
| 666 | |
---|
| 667 | ! |
---|
[2232] | 668 | !-- Vertical diffusion at horizontal walls. |
---|
| 669 | !-- TO DO: Adjust for downward facing walls and mask already in main loop |
---|
[1] | 670 | IF ( use_surface_fluxes ) THEN |
---|
[2232] | 671 | ! |
---|
| 672 | !-- Default-type surfaces, upward-facing |
---|
| 673 | surf_s = surf_def_h(0)%start_index(j,i) |
---|
| 674 | surf_e = surf_def_h(0)%end_index(j,i) |
---|
| 675 | DO m = surf_s, surf_e |
---|
[1] | 676 | |
---|
[2232] | 677 | k = surf_def_h(0)%k(m) |
---|
[1] | 678 | |
---|
[2232] | 679 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_up(m) & |
---|
| 680 | * ddzw(k) * drho_air(k) |
---|
| 681 | ENDDO |
---|
| 682 | ! |
---|
| 683 | !-- Default-type surfaces, downward-facing |
---|
| 684 | surf_s = surf_def_h(1)%start_index(j,i) |
---|
| 685 | surf_e = surf_def_h(1)%end_index(j,i) |
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| 686 | DO m = surf_s, surf_e |
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[1] | 687 | |
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[2232] | 688 | k = surf_def_h(1)%k(m) |
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[1] | 689 | |
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[2232] | 690 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_down(m) & |
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| 691 | * ddzw(k) * drho_air(k) |
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| 692 | ENDDO |
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[19] | 693 | ! |
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[2232] | 694 | !-- Natural-type surfaces, upward-facing |
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| 695 | surf_s = surf_lsm_h%start_index(j,i) |
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| 696 | surf_e = surf_lsm_h%end_index(j,i) |
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| 697 | DO m = surf_s, surf_e |
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| 698 | k = surf_lsm_h%k(m) |
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| 699 | |
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| 700 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_h_up(m) & |
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| 701 | * ddzw(k) * drho_air(k) |
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| 702 | ENDDO |
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| 703 | ! |
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| 704 | !-- Urban-type surfaces, upward-facing |
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| 705 | surf_s = surf_usm_h%start_index(j,i) |
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| 706 | surf_e = surf_usm_h%end_index(j,i) |
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| 707 | DO m = surf_s, surf_e |
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| 708 | k = surf_usm_h%k(m) |
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| 709 | |
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| 710 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_h_up(m) & |
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| 711 | * ddzw(k) * drho_air(k) |
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| 712 | ENDDO |
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| 713 | ENDIF |
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| 714 | ! |
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[19] | 715 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
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| 716 | IF ( use_top_fluxes ) THEN |
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[2232] | 717 | surf_s = surf_def_h(2)%start_index(j,i) |
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| 718 | surf_e = surf_def_h(2)%end_index(j,i) |
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| 719 | DO m = surf_s, surf_e |
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[19] | 720 | |
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[2232] | 721 | k = surf_def_h(2)%k(m) |
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| 722 | tend(k,j,i) = tend(k,j,i) & |
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| 723 | + ( - s_flux_t(m) ) * ddzw(k) * drho_air(k) |
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| 724 | ENDDO |
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[19] | 725 | ENDIF |
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| 726 | |
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[1] | 727 | END SUBROUTINE diffusion_s_ij |
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| 728 | |
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| 729 | END MODULE diffusion_s_mod |
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