[1873] | 1 | !> @file diffusion_u.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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[3655] | 17 | ! Copyright 1997-2019 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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[1] | 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_u.f90 4329 2019-12-10 15:46:36Z motisi $ |
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[4329] | 27 | ! Renamed wall_flags_0 to wall_flags_static_0 |
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| 28 | ! |
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| 29 | ! 4182 2019-08-22 15:20:23Z scharf |
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[4182] | 30 | ! Corrected "Former revisions" section |
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| 31 | ! |
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| 32 | ! 3655 2019-01-07 16:51:22Z knoop |
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[3634] | 33 | ! OpenACC port for SPEC |
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[2716] | 34 | ! |
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[4182] | 35 | ! Revision 1.1 1997/09/12 06:23:51 raasch |
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| 36 | ! Initial revision |
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| 37 | ! |
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| 38 | ! |
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[1] | 39 | ! Description: |
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| 40 | ! ------------ |
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[1682] | 41 | !> Diffusion term of the u-component |
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| 42 | !> @todo additional damping (needed for non-cyclic bc) causes bad vectorization |
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| 43 | !> and slows down the speed on NEC about 5-10% |
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[1] | 44 | !------------------------------------------------------------------------------! |
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[1682] | 45 | MODULE diffusion_u_mod |
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| 46 | |
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[1] | 47 | |
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| 48 | PRIVATE |
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[2118] | 49 | PUBLIC diffusion_u |
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[1] | 50 | |
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| 51 | INTERFACE diffusion_u |
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| 52 | MODULE PROCEDURE diffusion_u |
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| 53 | MODULE PROCEDURE diffusion_u_ij |
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| 54 | END INTERFACE diffusion_u |
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| 55 | |
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| 56 | CONTAINS |
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| 57 | |
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| 58 | |
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| 59 | !------------------------------------------------------------------------------! |
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[1682] | 60 | ! Description: |
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| 61 | ! ------------ |
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| 62 | !> Call for all grid points |
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[1] | 63 | !------------------------------------------------------------------------------! |
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[1001] | 64 | SUBROUTINE diffusion_u |
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[1] | 65 | |
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[1320] | 66 | USE arrays_3d, & |
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[2232] | 67 | ONLY: ddzu, ddzw, km, tend, u, v, w, drho_air, rho_air_zw |
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[1320] | 68 | |
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| 69 | USE control_parameters, & |
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[2232] | 70 | ONLY: constant_top_momentumflux, use_surface_fluxes, & |
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[1320] | 71 | use_top_fluxes |
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| 72 | |
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| 73 | USE grid_variables, & |
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[2232] | 74 | ONLY: ddx, ddx2, ddy |
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[1320] | 75 | |
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| 76 | USE indices, & |
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[4329] | 77 | ONLY: nxlu, nxr, nyn, nys, nzb, nzt, wall_flags_static_0 |
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[2232] | 78 | |
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[1320] | 79 | USE kinds |
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[1] | 80 | |
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[2232] | 81 | USE surface_mod, & |
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| 82 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
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| 83 | surf_usm_v |
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| 84 | |
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[1] | 85 | IMPLICIT NONE |
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| 86 | |
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[2232] | 87 | INTEGER(iwp) :: i !< running index x direction |
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| 88 | INTEGER(iwp) :: j !< running index y direction |
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| 89 | INTEGER(iwp) :: k !< running index z direction |
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| 90 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
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| 91 | INTEGER(iwp) :: m !< running index surface elements |
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[3547] | 92 | INTEGER(iwp) :: surf_e !< end index of surface elements at (j,i)-gridpoint |
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| 93 | INTEGER(iwp) :: surf_s !< start index of surface elements at (j,i)-gridpoint |
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[1001] | 94 | |
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[2232] | 95 | REAL(wp) :: flag !< flag to mask topography grid points |
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[3547] | 96 | REAL(wp) :: kmym !< diffusion coefficient on southward side of the u-gridbox - interpolated onto xu-yv grid |
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| 97 | REAL(wp) :: kmyp !< diffusion coefficient on northward side of the u-gridbox - interpolated onto xu-yv grid |
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| 98 | REAL(wp) :: kmzm !< diffusion coefficient on bottom of the gridbox - interpolated onto xu-zw grid |
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| 99 | REAL(wp) :: kmzp !< diffusion coefficient on top of the gridbox - interpolated onto xu-zw grid |
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[2232] | 100 | REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface |
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| 101 | REAL(wp) :: mask_north !< flag to mask vertical surface north of the grid point |
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| 102 | REAL(wp) :: mask_south !< flag to mask vertical surface south of the grid point |
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| 103 | REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface |
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[1] | 104 | |
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[56] | 105 | |
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[2232] | 106 | |
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[3634] | 107 | !$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) & |
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| 108 | !$ACC PRIVATE(surf_e, surf_s, flag, kmym, kmyp, kmzm, kmzp) & |
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| 109 | !$ACC PRIVATE(mask_bottom, mask_north, mask_south, mask_top) & |
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[4329] | 110 | !$ACC PRESENT(wall_flags_static_0, km) & |
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[3634] | 111 | !$ACC PRESENT(u, v, w) & |
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| 112 | !$ACC PRESENT(ddzu, ddzw, drho_air, rho_air_zw) & |
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| 113 | !$ACC PRESENT(surf_def_h(0:2), surf_def_v(0:1)) & |
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| 114 | !$ACC PRESENT(surf_lsm_h, surf_lsm_v(0:1)) & |
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| 115 | !$ACC PRESENT(surf_usm_h, surf_usm_v(0:1)) & |
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| 116 | !$ACC PRESENT(tend) |
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[106] | 117 | DO i = nxlu, nxr |
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[1001] | 118 | DO j = nys, nyn |
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[1] | 119 | ! |
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| 120 | !-- Compute horizontal diffusion |
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[2232] | 121 | DO k = nzb+1, nzt |
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[1] | 122 | ! |
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[2232] | 123 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
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| 124 | !-- It is sufficient to masked only north- and south-facing surfaces, which |
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| 125 | !-- need special treatment for the u-component. |
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[4329] | 126 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j,i), 1 ) ) |
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| 127 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j-1,i), 1 ) ) |
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| 128 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j+1,i), 1 ) ) |
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[2232] | 129 | ! |
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[1] | 130 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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[1340] | 131 | kmyp = 0.25_wp * & |
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[978] | 132 | ( km(k,j,i)+km(k,j+1,i)+km(k,j,i-1)+km(k,j+1,i-1) ) |
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[1340] | 133 | kmym = 0.25_wp * & |
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[978] | 134 | ( km(k,j,i)+km(k,j-1,i)+km(k,j,i-1)+km(k,j-1,i-1) ) |
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[1] | 135 | |
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[1320] | 136 | tend(k,j,i) = tend(k,j,i) & |
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[2232] | 137 | + 2.0_wp * ( & |
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| 138 | km(k,j,i) * ( u(k,j,i+1) - u(k,j,i) ) & |
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| 139 | - km(k,j,i-1) * ( u(k,j,i) - u(k,j,i-1) ) & |
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| 140 | ) * ddx2 * flag & |
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| 141 | + ( mask_north * ( & |
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| 142 | kmyp * ( u(k,j+1,i) - u(k,j,i) ) * ddy & |
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| 143 | + kmyp * ( v(k,j+1,i) - v(k,j+1,i-1) ) * ddx & |
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| 144 | ) & |
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| 145 | - mask_south * ( & |
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| 146 | kmym * ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
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| 147 | + kmym * ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
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| 148 | ) & |
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| 149 | ) * ddy * flag |
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[1] | 150 | ENDDO |
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| 151 | ! |
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[2232] | 152 | !-- Add horizontal momentum flux u'v' at north- (l=0) and south-facing (l=1) |
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| 153 | !-- surfaces. Note, in the the flat case, loops won't be entered as |
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| 154 | !-- start_index > end_index. Furtermore, note, no vertical natural surfaces |
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| 155 | !-- so far. |
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| 156 | !-- Default-type surfaces |
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| 157 | DO l = 0, 1 |
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| 158 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 159 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 160 | DO m = surf_s, surf_e |
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| 161 | k = surf_def_v(l)%k(m) |
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| 162 | tend(k,j,i) = tend(k,j,i) + & |
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| 163 | surf_def_v(l)%mom_flux_uv(m) * ddy |
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| 164 | ENDDO |
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| 165 | ENDDO |
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| 166 | ! |
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| 167 | !-- Natural-type surfaces |
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| 168 | DO l = 0, 1 |
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| 169 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 170 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 171 | DO m = surf_s, surf_e |
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| 172 | k = surf_lsm_v(l)%k(m) |
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| 173 | tend(k,j,i) = tend(k,j,i) + & |
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| 174 | surf_lsm_v(l)%mom_flux_uv(m) * ddy |
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| 175 | ENDDO |
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| 176 | ENDDO |
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| 177 | ! |
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| 178 | !-- Urban-type surfaces |
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| 179 | DO l = 0, 1 |
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| 180 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 181 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 182 | DO m = surf_s, surf_e |
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| 183 | k = surf_usm_v(l)%k(m) |
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| 184 | tend(k,j,i) = tend(k,j,i) + & |
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| 185 | surf_usm_v(l)%mom_flux_uv(m) * ddy |
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| 186 | ENDDO |
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| 187 | ENDDO |
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[51] | 188 | |
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[1] | 189 | ! |
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[2232] | 190 | !-- Compute vertical diffusion. In case of simulating a surface layer, |
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| 191 | !-- respective grid diffusive fluxes are masked (flag 8) within this |
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| 192 | !-- loop, and added further below, else, simple gradient approach is |
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| 193 | !-- applied. Model top is also mask if top-momentum flux is given. |
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| 194 | DO k = nzb+1, nzt |
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[1] | 195 | ! |
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[2232] | 196 | !-- Determine flags to mask topography below and above. Flag 1 is |
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| 197 | !-- used to mask topography in general, and flag 8 implies |
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| 198 | !-- information about use_surface_fluxes. Flag 9 is used to control |
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| 199 | !-- momentum flux at model top. |
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| 200 | mask_bottom = MERGE( 1.0_wp, 0.0_wp, & |
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[4329] | 201 | BTEST( wall_flags_static_0(k-1,j,i), 8 ) ) |
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[2232] | 202 | mask_top = MERGE( 1.0_wp, 0.0_wp, & |
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[4329] | 203 | BTEST( wall_flags_static_0(k+1,j,i), 8 ) ) * & |
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[2232] | 204 | MERGE( 1.0_wp, 0.0_wp, & |
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[4329] | 205 | BTEST( wall_flags_static_0(k+1,j,i), 9 ) ) |
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[2232] | 206 | flag = MERGE( 1.0_wp, 0.0_wp, & |
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[4329] | 207 | BTEST( wall_flags_static_0(k,j,i), 1 ) ) |
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[2232] | 208 | ! |
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[1] | 209 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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[1340] | 210 | kmzp = 0.25_wp * & |
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[1] | 211 | ( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) ) |
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[1340] | 212 | kmzm = 0.25_wp * & |
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[1] | 213 | ( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) ) |
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| 214 | |
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[1320] | 215 | tend(k,j,i) = tend(k,j,i) & |
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[2232] | 216 | + ( kmzp * ( ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 217 | + ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 218 | ) * rho_air_zw(k) * mask_top & |
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| 219 | - kmzm * ( ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k) & |
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| 220 | + ( w(k-1,j,i) - w(k-1,j,i-1) ) * ddx & |
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| 221 | ) * rho_air_zw(k-1) * mask_bottom & |
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| 222 | ) * ddzw(k) * drho_air(k) * flag |
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[1] | 223 | ENDDO |
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| 224 | |
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| 225 | ! |
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| 226 | !-- Vertical diffusion at the first grid point above the surface, |
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| 227 | !-- if the momentum flux at the bottom is given by the Prandtl law or |
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| 228 | !-- if it is prescribed by the user. |
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| 229 | !-- Difference quotient of the momentum flux is not formed over half |
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| 230 | !-- of the grid spacing (2.0*ddzw(k)) any more, since the comparison |
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[1320] | 231 | !-- with other (LES) models showed that the values of the momentum |
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[1] | 232 | !-- flux becomes too large in this case. |
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| 233 | !-- The term containing w(k-1,..) (see above equation) is removed here |
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| 234 | !-- because the vertical velocity is assumed to be zero at the surface. |
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| 235 | IF ( use_surface_fluxes ) THEN |
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| 236 | ! |
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[2232] | 237 | !-- Default-type surfaces, upward-facing |
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| 238 | surf_s = surf_def_h(0)%start_index(j,i) |
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| 239 | surf_e = surf_def_h(0)%end_index(j,i) |
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| 240 | DO m = surf_s, surf_e |
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[1] | 241 | |
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[2232] | 242 | k = surf_def_h(0)%k(m) |
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[1] | 243 | |
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[2232] | 244 | tend(k,j,i) = tend(k,j,i) & |
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| 245 | + ( - ( - surf_def_h(0)%usws(m) ) & |
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| 246 | ) * ddzw(k) * drho_air(k) |
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| 247 | ENDDO |
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[102] | 248 | ! |
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[2232] | 249 | !-- Default-type surfaces, dowward-facing |
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| 250 | surf_s = surf_def_h(1)%start_index(j,i) |
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| 251 | surf_e = surf_def_h(1)%end_index(j,i) |
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| 252 | DO m = surf_s, surf_e |
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| 253 | |
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| 254 | k = surf_def_h(1)%k(m) |
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| 255 | |
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| 256 | tend(k,j,i) = tend(k,j,i) & |
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| 257 | + ( - surf_def_h(1)%usws(m) & |
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| 258 | ) * ddzw(k) * drho_air(k) |
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| 259 | ENDDO |
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[102] | 260 | ! |
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[2232] | 261 | !-- Natural-type surfaces, upward-facing |
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| 262 | surf_s = surf_lsm_h%start_index(j,i) |
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| 263 | surf_e = surf_lsm_h%end_index(j,i) |
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| 264 | DO m = surf_s, surf_e |
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[102] | 265 | |
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[2232] | 266 | k = surf_lsm_h%k(m) |
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| 267 | |
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| 268 | tend(k,j,i) = tend(k,j,i) & |
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| 269 | + ( - ( - surf_lsm_h%usws(m) ) & |
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| 270 | ) * ddzw(k) * drho_air(k) |
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| 271 | ENDDO |
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| 272 | ! |
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| 273 | !-- Urban-type surfaces, upward-facing |
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| 274 | surf_s = surf_usm_h%start_index(j,i) |
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| 275 | surf_e = surf_usm_h%end_index(j,i) |
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| 276 | DO m = surf_s, surf_e |
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| 277 | |
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| 278 | k = surf_usm_h%k(m) |
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| 279 | |
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| 280 | tend(k,j,i) = tend(k,j,i) & |
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| 281 | + ( - ( - surf_usm_h%usws(m) ) & |
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| 282 | ) * ddzw(k) * drho_air(k) |
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| 283 | ENDDO |
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| 284 | |
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[102] | 285 | ENDIF |
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[2232] | 286 | ! |
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| 287 | !-- Add momentum flux at model top |
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[2638] | 288 | IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN |
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[2232] | 289 | surf_s = surf_def_h(2)%start_index(j,i) |
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| 290 | surf_e = surf_def_h(2)%end_index(j,i) |
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| 291 | DO m = surf_s, surf_e |
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[102] | 292 | |
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[2232] | 293 | k = surf_def_h(2)%k(m) |
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| 294 | |
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| 295 | tend(k,j,i) = tend(k,j,i) & |
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| 296 | + ( - surf_def_h(2)%usws(m) ) * ddzw(k) * drho_air(k) |
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| 297 | ENDDO |
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| 298 | ENDIF |
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| 299 | |
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[1] | 300 | ENDDO |
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| 301 | ENDDO |
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| 302 | |
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| 303 | END SUBROUTINE diffusion_u |
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| 304 | |
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| 305 | |
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| 306 | !------------------------------------------------------------------------------! |
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[1682] | 307 | ! Description: |
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| 308 | ! ------------ |
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| 309 | !> Call for grid point i,j |
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[1] | 310 | !------------------------------------------------------------------------------! |
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[1001] | 311 | SUBROUTINE diffusion_u_ij( i, j ) |
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[1] | 312 | |
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[1320] | 313 | USE arrays_3d, & |
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[2232] | 314 | ONLY: ddzu, ddzw, km, tend, u, v, w, drho_air, rho_air_zw |
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[1320] | 315 | |
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| 316 | USE control_parameters, & |
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[2232] | 317 | ONLY: constant_top_momentumflux, use_surface_fluxes, & |
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| 318 | use_top_fluxes |
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[1320] | 319 | |
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| 320 | USE grid_variables, & |
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[2232] | 321 | ONLY: ddx, ddx2, ddy |
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[1320] | 322 | |
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| 323 | USE indices, & |
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[4329] | 324 | ONLY: nzb, nzt, wall_flags_static_0 |
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[2232] | 325 | |
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[1320] | 326 | USE kinds |
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[1] | 327 | |
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[2232] | 328 | USE surface_mod, & |
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| 329 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
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| 330 | surf_usm_v |
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| 331 | |
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[1] | 332 | IMPLICIT NONE |
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| 333 | |
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[2232] | 334 | INTEGER(iwp) :: i !< running index x direction |
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| 335 | INTEGER(iwp) :: j !< running index y direction |
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| 336 | INTEGER(iwp) :: k !< running index z direction |
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| 337 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
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| 338 | INTEGER(iwp) :: m !< running index surface elements |
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| 339 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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| 340 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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[1] | 341 | |
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[2232] | 342 | REAL(wp) :: flag !< flag to mask topography grid points |
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[3547] | 343 | REAL(wp) :: kmym !< diffusion coefficient on southward side of the u-gridbox - interpolated onto xu-yv grid |
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| 344 | REAL(wp) :: kmyp !<diffusion coefficient on northward side of the u-gridbox - interpolated onto xu-yv grid |
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| 345 | REAL(wp) :: kmzm !< diffusion coefficient on bottom of the gridbox - interpolated onto xu-zw grid |
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| 346 | REAL(wp) :: kmzp !< diffusion coefficient on top of the gridbox - interpolated onto xu-zw grid |
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[2232] | 347 | REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface |
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| 348 | REAL(wp) :: mask_north !< flag to mask vertical surface north of the grid point |
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| 349 | REAL(wp) :: mask_south !< flag to mask vertical surface south of the grid point |
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| 350 | REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface |
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| 351 | ! |
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[1] | 352 | !-- Compute horizontal diffusion |
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[2232] | 353 | DO k = nzb+1, nzt |
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[1] | 354 | ! |
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[2232] | 355 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
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| 356 | !-- It is sufficient to masked only north- and south-facing surfaces, which |
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| 357 | !-- need special treatment for the u-component. |
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[4329] | 358 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j,i), 1 ) ) |
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| 359 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j-1,i), 1 ) ) |
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| 360 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j+1,i), 1 ) ) |
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[2232] | 361 | ! |
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[1] | 362 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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[1340] | 363 | kmyp = 0.25_wp * ( km(k,j,i)+km(k,j+1,i)+km(k,j,i-1)+km(k,j+1,i-1) ) |
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| 364 | kmym = 0.25_wp * ( km(k,j,i)+km(k,j-1,i)+km(k,j,i-1)+km(k,j-1,i-1) ) |
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[1] | 365 | |
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[1320] | 366 | tend(k,j,i) = tend(k,j,i) & |
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[2232] | 367 | + 2.0_wp * ( & |
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| 368 | km(k,j,i) * ( u(k,j,i+1) - u(k,j,i) ) & |
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| 369 | - km(k,j,i-1) * ( u(k,j,i) - u(k,j,i-1) ) & |
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| 370 | ) * ddx2 * flag & |
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| 371 | + ( & |
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| 372 | mask_north * kmyp * ( ( u(k,j+1,i) - u(k,j,i) ) * ddy & |
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| 373 | + ( v(k,j+1,i) - v(k,j+1,i-1) ) * ddx & |
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| 374 | ) & |
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| 375 | - mask_south * kmym * ( ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
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| 376 | + ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
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| 377 | ) & |
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| 378 | ) * ddy * flag |
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[1] | 379 | ENDDO |
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| 380 | |
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| 381 | ! |
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[2232] | 382 | !-- Add horizontal momentum flux u'v' at north- (l=0) and south-facing (l=1) |
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| 383 | !-- surfaces. Note, in the the flat case, loops won't be entered as |
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| 384 | !-- start_index > end_index. Furtermore, note, no vertical natural surfaces |
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| 385 | !-- so far. |
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| 386 | !-- Default-type surfaces |
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| 387 | DO l = 0, 1 |
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| 388 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 389 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 390 | DO m = surf_s, surf_e |
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| 391 | k = surf_def_v(l)%k(m) |
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| 392 | tend(k,j,i) = tend(k,j,i) + surf_def_v(l)%mom_flux_uv(m) * ddy |
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| 393 | ENDDO |
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| 394 | ENDDO |
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[51] | 395 | ! |
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[2232] | 396 | !-- Natural-type surfaces |
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| 397 | DO l = 0, 1 |
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| 398 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 399 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 400 | DO m = surf_s, surf_e |
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| 401 | k = surf_lsm_v(l)%k(m) |
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| 402 | tend(k,j,i) = tend(k,j,i) + surf_lsm_v(l)%mom_flux_uv(m) * ddy |
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| 403 | ENDDO |
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| 404 | ENDDO |
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[1] | 405 | ! |
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[2232] | 406 | !-- Urban-type surfaces |
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| 407 | DO l = 0, 1 |
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| 408 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 409 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 410 | DO m = surf_s, surf_e |
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| 411 | k = surf_usm_v(l)%k(m) |
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| 412 | tend(k,j,i) = tend(k,j,i) + surf_usm_v(l)%mom_flux_uv(m) * ddy |
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| 413 | ENDDO |
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| 414 | ENDDO |
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[1] | 415 | ! |
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[2232] | 416 | !-- Compute vertical diffusion. In case of simulating a surface layer, |
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| 417 | !-- respective grid diffusive fluxes are masked (flag 8) within this |
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| 418 | !-- loop, and added further below, else, simple gradient approach is |
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| 419 | !-- applied. Model top is also mask if top-momentum flux is given. |
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| 420 | DO k = nzb+1, nzt |
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| 421 | ! |
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| 422 | !-- Determine flags to mask topography below and above. Flag 1 is |
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| 423 | !-- used to mask topography in general, and flag 8 implies |
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| 424 | !-- information about use_surface_fluxes. Flag 9 is used to control |
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| 425 | !-- momentum flux at model top. |
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| 426 | mask_bottom = MERGE( 1.0_wp, 0.0_wp, & |
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[4329] | 427 | BTEST( wall_flags_static_0(k-1,j,i), 8 ) ) |
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[2232] | 428 | mask_top = MERGE( 1.0_wp, 0.0_wp, & |
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[4329] | 429 | BTEST( wall_flags_static_0(k+1,j,i), 8 ) ) * & |
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[2232] | 430 | MERGE( 1.0_wp, 0.0_wp, & |
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[4329] | 431 | BTEST( wall_flags_static_0(k+1,j,i), 9 ) ) |
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[2232] | 432 | flag = MERGE( 1.0_wp, 0.0_wp, & |
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[4329] | 433 | BTEST( wall_flags_static_0(k,j,i), 1 ) ) |
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[2232] | 434 | ! |
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[1] | 435 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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[1340] | 436 | kmzp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) ) |
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| 437 | kmzm = 0.25_wp * ( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) ) |
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[1] | 438 | |
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[1320] | 439 | tend(k,j,i) = tend(k,j,i) & |
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[2232] | 440 | + ( kmzp * ( ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 441 | + ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 442 | ) * rho_air_zw(k) * mask_top & |
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| 443 | - kmzm * ( ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k) & |
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| 444 | + ( w(k-1,j,i) - w(k-1,j,i-1) ) * ddx & |
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| 445 | ) * rho_air_zw(k-1) * mask_bottom & |
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| 446 | ) * ddzw(k) * drho_air(k) * flag |
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[1] | 447 | ENDDO |
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| 448 | |
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| 449 | ! |
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[2232] | 450 | !-- Vertical diffusion at the first surface grid points, if the |
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[1] | 451 | !-- momentum flux at the bottom is given by the Prandtl law or if it is |
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| 452 | !-- prescribed by the user. |
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| 453 | !-- Difference quotient of the momentum flux is not formed over half of |
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| 454 | !-- the grid spacing (2.0*ddzw(k)) any more, since the comparison with |
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[1320] | 455 | !-- other (LES) models showed that the values of the momentum flux becomes |
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[1] | 456 | !-- too large in this case. |
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| 457 | IF ( use_surface_fluxes ) THEN |
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| 458 | ! |
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[2232] | 459 | !-- Default-type surfaces, upward-facing |
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| 460 | surf_s = surf_def_h(0)%start_index(j,i) |
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| 461 | surf_e = surf_def_h(0)%end_index(j,i) |
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| 462 | DO m = surf_s, surf_e |
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[1] | 463 | |
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[2232] | 464 | k = surf_def_h(0)%k(m) |
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[1] | 465 | |
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[2232] | 466 | tend(k,j,i) = tend(k,j,i) & |
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| 467 | + ( - ( - surf_def_h(0)%usws(m) ) & |
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| 468 | ) * ddzw(k) * drho_air(k) |
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| 469 | ENDDO |
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[102] | 470 | ! |
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[2232] | 471 | !-- Default-type surfaces, dowward-facing (except for model-top fluxes) |
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| 472 | surf_s = surf_def_h(1)%start_index(j,i) |
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| 473 | surf_e = surf_def_h(1)%end_index(j,i) |
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| 474 | DO m = surf_s, surf_e |
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| 475 | |
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| 476 | k = surf_def_h(1)%k(m) |
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| 477 | |
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| 478 | tend(k,j,i) = tend(k,j,i) & |
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| 479 | + ( - surf_def_h(1)%usws(m) & |
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| 480 | ) * ddzw(k) * drho_air(k) |
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| 481 | ENDDO |
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[102] | 482 | ! |
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[2232] | 483 | !-- Natural-type surfaces, upward-facing |
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| 484 | surf_s = surf_lsm_h%start_index(j,i) |
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| 485 | surf_e = surf_lsm_h%end_index(j,i) |
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| 486 | DO m = surf_s, surf_e |
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[102] | 487 | |
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[2232] | 488 | k = surf_lsm_h%k(m) |
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| 489 | |
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| 490 | tend(k,j,i) = tend(k,j,i) & |
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| 491 | + ( - ( - surf_lsm_h%usws(m) ) & |
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| 492 | ) * ddzw(k) * drho_air(k) |
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| 493 | ENDDO |
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| 494 | ! |
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| 495 | !-- Urban-type surfaces, upward-facing |
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| 496 | surf_s = surf_usm_h%start_index(j,i) |
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| 497 | surf_e = surf_usm_h%end_index(j,i) |
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| 498 | DO m = surf_s, surf_e |
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| 499 | |
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| 500 | k = surf_usm_h%k(m) |
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| 501 | |
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| 502 | tend(k,j,i) = tend(k,j,i) & |
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| 503 | + ( - ( - surf_usm_h%usws(m) ) & |
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| 504 | ) * ddzw(k) * drho_air(k) |
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| 505 | ENDDO |
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| 506 | |
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[102] | 507 | ENDIF |
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[2232] | 508 | ! |
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| 509 | !-- Add momentum flux at model top |
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[2638] | 510 | IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN |
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[2232] | 511 | surf_s = surf_def_h(2)%start_index(j,i) |
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| 512 | surf_e = surf_def_h(2)%end_index(j,i) |
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| 513 | DO m = surf_s, surf_e |
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[102] | 514 | |
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[2232] | 515 | k = surf_def_h(2)%k(m) |
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| 516 | |
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| 517 | tend(k,j,i) = tend(k,j,i) & |
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| 518 | + ( - surf_def_h(2)%usws(m) ) * ddzw(k) * drho_air(k) |
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| 519 | ENDDO |
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| 520 | ENDIF |
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| 521 | |
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| 522 | |
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[1] | 523 | END SUBROUTINE diffusion_u_ij |
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| 524 | |
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| 525 | END MODULE diffusion_u_mod |
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