[56] | 1 | MODULE wall_fluxes_mod |
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[1036] | 2 | |
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| 3 | !--------------------------------------------------------------------------------! |
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| 4 | ! This file is part of PALM. |
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| 5 | ! |
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| 6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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| 7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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| 8 | ! either version 3 of the License, or (at your option) any later version. |
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| 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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| 17 | ! Copyright 1997-2012 Leibniz University Hannover |
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| 18 | !--------------------------------------------------------------------------------! |
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| 19 | ! |
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[484] | 20 | ! Current revisions: |
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[52] | 21 | ! ----------------- |
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[1153] | 22 | ! code adjustment of accelerator version for PGI 12.3 / CUDA 5.0 |
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[198] | 23 | ! |
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| 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: wall_fluxes.f90 1153 2013-05-10 14:33:08Z raasch $ |
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| 27 | ! |
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[1132] | 28 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 29 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 30 | ! j_north |
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| 31 | ! |
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[1037] | 32 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 33 | ! code put under GPL (PALM 3.9) |
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| 34 | ! |
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[1017] | 35 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 36 | ! accelerator version (*_acc) added |
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| 37 | ! |
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[198] | 38 | ! 187 2008-08-06 16:25:09Z letzel |
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| 39 | ! Bugfix: Modification of the evaluation of the vertical turbulent momentum |
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| 40 | ! fluxes u'w' and v'w (see prandtl_fluxes), this requires the calculation of |
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| 41 | ! us_wall (and vel_total, u_i, v_i, ws) also in wall_fluxes_e. |
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| 42 | ! Bugfix: change definition of us_wall from 1D to 2D |
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[187] | 43 | ! Bugfix: storage of rifs to rifs_wall in wall_fluxes_e removed |
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| 44 | ! Change: add 'minus' sign to fluxes produced by subroutine wall_fluxes_e for |
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[198] | 45 | ! consistency with subroutine wall_fluxes |
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[187] | 46 | ! Change: Modification of the integrated version of the profile function for |
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[198] | 47 | ! momentum for unstable stratification |
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[52] | 48 | ! |
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| 49 | ! Initial version (2007/03/07) |
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| 50 | ! |
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| 51 | ! Description: |
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| 52 | ! ------------ |
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| 53 | ! Calculates momentum fluxes at vertical walls assuming Monin-Obukhov |
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| 54 | ! similarity. |
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| 55 | ! Indices: usvs a=1, vsus b=1, wsvs c1=1, wsus c2=1 (other=0). |
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[56] | 56 | ! The all-gridpoint version of wall_fluxes_e is not used so far, because |
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| 57 | ! it gives slightly different results from the ij-version for some unknown |
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| 58 | ! reason. |
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[52] | 59 | !------------------------------------------------------------------------------! |
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[56] | 60 | PRIVATE |
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[1015] | 61 | PUBLIC wall_fluxes, wall_fluxes_acc, wall_fluxes_e, wall_fluxes_e_acc |
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[56] | 62 | |
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| 63 | INTERFACE wall_fluxes |
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| 64 | MODULE PROCEDURE wall_fluxes |
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| 65 | MODULE PROCEDURE wall_fluxes_ij |
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| 66 | END INTERFACE wall_fluxes |
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| 67 | |
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[1015] | 68 | INTERFACE wall_fluxes_acc |
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| 69 | MODULE PROCEDURE wall_fluxes_acc |
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| 70 | END INTERFACE wall_fluxes_acc |
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| 71 | |
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[56] | 72 | INTERFACE wall_fluxes_e |
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| 73 | MODULE PROCEDURE wall_fluxes_e |
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| 74 | MODULE PROCEDURE wall_fluxes_e_ij |
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| 75 | END INTERFACE wall_fluxes_e |
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| 76 | |
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[1015] | 77 | INTERFACE wall_fluxes_e_acc |
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| 78 | MODULE PROCEDURE wall_fluxes_e_acc |
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| 79 | END INTERFACE wall_fluxes_e_acc |
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| 80 | |
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[56] | 81 | CONTAINS |
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[52] | 82 | |
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[56] | 83 | !------------------------------------------------------------------------------! |
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| 84 | ! Call for all grid points |
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| 85 | !------------------------------------------------------------------------------! |
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[75] | 86 | SUBROUTINE wall_fluxes( wall_flux, a, b, c1, c2, nzb_uvw_inner, & |
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[56] | 87 | nzb_uvw_outer, wall ) |
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[52] | 88 | |
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[56] | 89 | USE arrays_3d |
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| 90 | USE control_parameters |
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| 91 | USE grid_variables |
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| 92 | USE indices |
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| 93 | USE statistics |
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[52] | 94 | |
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[56] | 95 | IMPLICIT NONE |
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[52] | 96 | |
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[75] | 97 | INTEGER :: i, j, k, wall_index |
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[52] | 98 | |
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[667] | 99 | INTEGER, DIMENSION(nysg:nyng,nxlg:nxrg) :: nzb_uvw_inner, & |
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[56] | 100 | nzb_uvw_outer |
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| 101 | REAL :: a, b, c1, c2, h1, h2, zp |
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| 102 | REAL :: pts, pt_i, rifs, u_i, v_i, us_wall, vel_total, ws, wspts |
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[52] | 103 | |
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[667] | 104 | REAL, DIMENSION(nysg:nyng,nxlg:nxrg) :: wall |
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[75] | 105 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wall_flux |
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[52] | 106 | |
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| 107 | |
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[56] | 108 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
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| 109 | wall_flux = 0.0 |
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| 110 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
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| 111 | |
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[75] | 112 | DO i = nxl, nxr |
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| 113 | DO j = nys, nyn |
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[56] | 114 | |
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| 115 | IF ( wall(j,i) /= 0.0 ) THEN |
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[52] | 116 | ! |
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[56] | 117 | !-- All subsequent variables are computed for the respective |
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[187] | 118 | !-- location where the respective flux is defined. |
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[56] | 119 | DO k = nzb_uvw_inner(j,i)+1, nzb_uvw_outer(j,i) |
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[53] | 120 | |
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[52] | 121 | ! |
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[56] | 122 | !-- (1) Compute rifs, u_i, v_i, ws, pt' and w'pt' |
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| 123 | rifs = rif_wall(k,j,i,wall_index) |
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[53] | 124 | |
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[56] | 125 | u_i = a * u(k,j,i) + c1 * 0.25 * & |
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| 126 | ( u(k+1,j,i+1) + u(k+1,j,i) + u(k,j,i+1) + u(k,j,i) ) |
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[53] | 127 | |
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[56] | 128 | v_i = b * v(k,j,i) + c2 * 0.25 * & |
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| 129 | ( v(k+1,j+1,i) + v(k+1,j,i) + v(k,j+1,i) + v(k,j,i) ) |
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[53] | 130 | |
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[56] | 131 | ws = ( c1 + c2 ) * w(k,j,i) + 0.25 * ( & |
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| 132 | a * ( w(k-1,j,i-1) + w(k-1,j,i) + w(k,j,i-1) + w(k,j,i) ) & |
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| 133 | + b * ( w(k-1,j-1,i) + w(k-1,j,i) + w(k,j-1,i) + w(k,j,i) ) & |
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| 134 | ) |
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| 135 | pt_i = 0.5 * ( pt(k,j,i) + a * pt(k,j,i-1) + & |
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| 136 | b * pt(k,j-1,i) + ( c1 + c2 ) * pt(k+1,j,i) ) |
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[53] | 137 | |
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[56] | 138 | pts = pt_i - hom(k,1,4,0) |
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| 139 | wspts = ws * pts |
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[53] | 140 | |
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[52] | 141 | ! |
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[56] | 142 | !-- (2) Compute wall-parallel absolute velocity vel_total |
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| 143 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
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[53] | 144 | |
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[52] | 145 | ! |
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[56] | 146 | !-- (3) Compute wall friction velocity us_wall |
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| 147 | IF ( rifs >= 0.0 ) THEN |
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[53] | 148 | |
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[52] | 149 | ! |
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[56] | 150 | !-- Stable stratification (and neutral) |
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| 151 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
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| 152 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
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| 153 | ) |
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| 154 | ELSE |
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[53] | 155 | |
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[52] | 156 | ! |
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[56] | 157 | !-- Unstable stratification |
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[187] | 158 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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| 159 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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[53] | 160 | |
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[187] | 161 | us_wall = kappa * vel_total / ( & |
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| 162 | LOG( zp / z0(j,i) ) - & |
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| 163 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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| 164 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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| 165 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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| 166 | ) |
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[56] | 167 | ENDIF |
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[53] | 168 | |
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[52] | 169 | ! |
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[56] | 170 | !-- (4) Compute zp/L (corresponds to neutral Richardson flux |
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| 171 | !-- number rifs) |
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| 172 | rifs = -1.0 * zp * kappa * g * wspts / ( pt_i * & |
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| 173 | ( us_wall**3 + 1E-30 ) ) |
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[53] | 174 | |
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[52] | 175 | ! |
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[56] | 176 | !-- Limit the value range of the Richardson numbers. |
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| 177 | !-- This is necessary for very small velocities (u,w --> 0), |
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| 178 | !-- because the absolute value of rif can then become very |
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| 179 | !-- large, which in consequence would result in very large |
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| 180 | !-- shear stresses and very small momentum fluxes (both are |
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| 181 | !-- generally unrealistic). |
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| 182 | IF ( rifs < rif_min ) rifs = rif_min |
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| 183 | IF ( rifs > rif_max ) rifs = rif_max |
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[53] | 184 | |
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[52] | 185 | ! |
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[56] | 186 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
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| 187 | IF ( rifs >= 0.0 ) THEN |
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[53] | 188 | |
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[52] | 189 | ! |
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[56] | 190 | !-- Stable stratification (and neutral) |
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| 191 | wall_flux(k,j,i) = kappa * & |
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| 192 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / & |
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| 193 | ( LOG( zp / z0(j,i) ) + & |
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| 194 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
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| 195 | ) |
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| 196 | ELSE |
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[53] | 197 | |
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[52] | 198 | ! |
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[56] | 199 | !-- Unstable stratification |
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[187] | 200 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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| 201 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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[53] | 202 | |
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[187] | 203 | wall_flux(k,j,i) = kappa * & |
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| 204 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / ( & |
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| 205 | LOG( zp / z0(j,i) ) - & |
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| 206 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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| 207 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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| 208 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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| 209 | ) |
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[56] | 210 | ENDIF |
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[187] | 211 | wall_flux(k,j,i) = -wall_flux(k,j,i) * us_wall |
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[56] | 212 | |
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| 213 | ! |
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| 214 | !-- store rifs for next time step |
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| 215 | rif_wall(k,j,i,wall_index) = rifs |
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| 216 | |
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| 217 | ENDDO |
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| 218 | |
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| 219 | ENDIF |
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| 220 | |
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| 221 | ENDDO |
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| 222 | ENDDO |
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| 223 | |
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| 224 | END SUBROUTINE wall_fluxes |
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| 225 | |
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| 226 | |
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[1015] | 227 | !------------------------------------------------------------------------------! |
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| 228 | ! Call for all grid points - accelerator version |
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| 229 | !------------------------------------------------------------------------------! |
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| 230 | SUBROUTINE wall_fluxes_acc( wall_flux, a, b, c1, c2, nzb_uvw_inner, & |
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| 231 | nzb_uvw_outer, wall ) |
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[56] | 232 | |
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[1015] | 233 | USE arrays_3d |
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| 234 | USE control_parameters |
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| 235 | USE grid_variables |
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| 236 | USE indices |
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| 237 | USE statistics |
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| 238 | |
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| 239 | IMPLICIT NONE |
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| 240 | |
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| 241 | INTEGER :: i, j, k, max_outer, min_inner, wall_index |
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| 242 | |
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| 243 | INTEGER, DIMENSION(nysg:nyng,nxlg:nxrg) :: nzb_uvw_inner, & |
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| 244 | nzb_uvw_outer |
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| 245 | REAL :: a, b, c1, c2, h1, h2, zp |
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| 246 | REAL :: pts, pt_i, rifs, u_i, v_i, us_wall, vel_total, ws, wspts |
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| 247 | |
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| 248 | REAL, DIMENSION(nysg:nyng,nxlg:nxrg) :: wall |
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| 249 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wall_flux |
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| 250 | |
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| 251 | |
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| 252 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
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| 253 | wall_flux = 0.0 |
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| 254 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
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| 255 | |
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| 256 | min_inner = MINVAL( nzb_uvw_inner(nys:nyn,nxl:nxr) ) + 1 |
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| 257 | max_outer = MINVAL( nzb_uvw_outer(nys:nyn,nxl:nxr) ) |
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| 258 | |
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| 259 | !$acc kernels present( hom, nzb_uvw_inner, nzb_uvw_outer, pt, rif_wall ) & |
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| 260 | !$acc present( u, v, w, wall, wall_flux, z0 ) |
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[1153] | 261 | !$acc loop independent |
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[1128] | 262 | DO i = i_left, i_right |
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| 263 | DO j = j_south, j_north |
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[1153] | 264 | |
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| 265 | IF ( wall(j,i) /= 0.0 ) THEN |
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[1015] | 266 | ! |
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| 267 | !-- All subsequent variables are computed for the respective |
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| 268 | !-- location where the respective flux is defined. |
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[1153] | 269 | !$acc loop independent vector( 32 ) |
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| 270 | DO k = nzb_uvw_inner(j,i)+1, nzb_uvw_outer(j,i) |
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| 271 | |
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[1015] | 272 | ! |
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| 273 | !-- (1) Compute rifs, u_i, v_i, ws, pt' and w'pt' |
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| 274 | rifs = rif_wall(k,j,i,wall_index) |
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| 275 | |
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| 276 | u_i = a * u(k,j,i) + c1 * 0.25 * & |
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| 277 | ( u(k+1,j,i+1) + u(k+1,j,i) + u(k,j,i+1) + u(k,j,i) ) |
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| 278 | |
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| 279 | v_i = b * v(k,j,i) + c2 * 0.25 * & |
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| 280 | ( v(k+1,j+1,i) + v(k+1,j,i) + v(k,j+1,i) + v(k,j,i) ) |
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| 281 | |
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| 282 | ws = ( c1 + c2 ) * w(k,j,i) + 0.25 * ( & |
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| 283 | a * ( w(k-1,j,i-1) + w(k-1,j,i) + w(k,j,i-1) + w(k,j,i) ) & |
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| 284 | + b * ( w(k-1,j-1,i) + w(k-1,j,i) + w(k,j-1,i) + w(k,j,i) ) & |
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| 285 | ) |
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| 286 | pt_i = 0.5 * ( pt(k,j,i) + a * pt(k,j,i-1) + & |
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| 287 | b * pt(k,j-1,i) + ( c1 + c2 ) * pt(k+1,j,i) ) |
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| 288 | |
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| 289 | pts = pt_i - hom(k,1,4,0) |
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| 290 | wspts = ws * pts |
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| 291 | |
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| 292 | ! |
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| 293 | !-- (2) Compute wall-parallel absolute velocity vel_total |
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| 294 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
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| 295 | |
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| 296 | ! |
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| 297 | !-- (3) Compute wall friction velocity us_wall |
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| 298 | IF ( rifs >= 0.0 ) THEN |
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| 299 | |
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| 300 | ! |
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| 301 | !-- Stable stratification (and neutral) |
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| 302 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
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| 303 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
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| 304 | ) |
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| 305 | ELSE |
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| 306 | |
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| 307 | ! |
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| 308 | !-- Unstable stratification |
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| 309 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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| 310 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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| 311 | |
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| 312 | us_wall = kappa * vel_total / ( & |
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| 313 | LOG( zp / z0(j,i) ) - & |
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| 314 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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| 315 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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| 316 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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| 317 | ) |
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| 318 | ENDIF |
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| 319 | |
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| 320 | ! |
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| 321 | !-- (4) Compute zp/L (corresponds to neutral Richardson flux |
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| 322 | !-- number rifs) |
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| 323 | rifs = -1.0 * zp * kappa * g * wspts / ( pt_i * & |
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| 324 | ( us_wall**3 + 1E-30 ) ) |
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| 325 | |
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| 326 | ! |
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| 327 | !-- Limit the value range of the Richardson numbers. |
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| 328 | !-- This is necessary for very small velocities (u,w --> 0), |
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| 329 | !-- because the absolute value of rif can then become very |
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| 330 | !-- large, which in consequence would result in very large |
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| 331 | !-- shear stresses and very small momentum fluxes (both are |
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| 332 | !-- generally unrealistic). |
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| 333 | IF ( rifs < rif_min ) rifs = rif_min |
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| 334 | IF ( rifs > rif_max ) rifs = rif_max |
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| 335 | |
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| 336 | ! |
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| 337 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
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| 338 | IF ( rifs >= 0.0 ) THEN |
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| 339 | |
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| 340 | ! |
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| 341 | !-- Stable stratification (and neutral) |
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| 342 | wall_flux(k,j,i) = kappa * & |
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| 343 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / & |
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| 344 | ( LOG( zp / z0(j,i) ) + & |
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| 345 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
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| 346 | ) |
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| 347 | ELSE |
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| 348 | |
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| 349 | ! |
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| 350 | !-- Unstable stratification |
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| 351 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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| 352 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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| 353 | |
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| 354 | wall_flux(k,j,i) = kappa * & |
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| 355 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / ( & |
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| 356 | LOG( zp / z0(j,i) ) - & |
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| 357 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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| 358 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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| 359 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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| 360 | ) |
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| 361 | ENDIF |
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| 362 | wall_flux(k,j,i) = -wall_flux(k,j,i) * us_wall |
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| 363 | |
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| 364 | ! |
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| 365 | !-- store rifs for next time step |
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| 366 | rif_wall(k,j,i,wall_index) = rifs |
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| 367 | |
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[1153] | 368 | ! ENDIF |
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[1015] | 369 | |
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[1153] | 370 | ENDDO |
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| 371 | |
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| 372 | ENDIF |
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| 373 | |
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[1015] | 374 | ENDDO |
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| 375 | ENDDO |
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| 376 | !$acc end kernels |
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| 377 | |
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| 378 | END SUBROUTINE wall_fluxes_acc |
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| 379 | |
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| 380 | |
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[56] | 381 | !------------------------------------------------------------------------------! |
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| 382 | ! Call for all grid point i,j |
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| 383 | !------------------------------------------------------------------------------! |
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| 384 | SUBROUTINE wall_fluxes_ij( i, j, nzb_w, nzt_w, wall_flux, a, b, c1, c2 ) |
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| 385 | |
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| 386 | USE arrays_3d |
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| 387 | USE control_parameters |
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| 388 | USE grid_variables |
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| 389 | USE indices |
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| 390 | USE statistics |
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| 391 | |
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| 392 | IMPLICIT NONE |
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| 393 | |
---|
| 394 | INTEGER :: i, j, k, nzb_w, nzt_w, wall_index |
---|
| 395 | REAL :: a, b, c1, c2, h1, h2, zp |
---|
| 396 | |
---|
| 397 | REAL :: pts, pt_i, rifs, u_i, v_i, us_wall, vel_total, ws, wspts |
---|
| 398 | |
---|
| 399 | REAL, DIMENSION(nzb:nzt+1) :: wall_flux |
---|
| 400 | |
---|
| 401 | |
---|
| 402 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
---|
| 403 | wall_flux = 0.0 |
---|
| 404 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
---|
| 405 | |
---|
| 406 | ! |
---|
| 407 | !-- All subsequent variables are computed for the respective location where |
---|
[187] | 408 | !-- the respective flux is defined. |
---|
[56] | 409 | DO k = nzb_w, nzt_w |
---|
| 410 | |
---|
| 411 | ! |
---|
| 412 | !-- (1) Compute rifs, u_i, v_i, ws, pt' and w'pt' |
---|
| 413 | rifs = rif_wall(k,j,i,wall_index) |
---|
| 414 | |
---|
| 415 | u_i = a * u(k,j,i) + c1 * 0.25 * & |
---|
| 416 | ( u(k+1,j,i+1) + u(k+1,j,i) + u(k,j,i+1) + u(k,j,i) ) |
---|
| 417 | |
---|
| 418 | v_i = b * v(k,j,i) + c2 * 0.25 * & |
---|
| 419 | ( v(k+1,j+1,i) + v(k+1,j,i) + v(k,j+1,i) + v(k,j,i) ) |
---|
| 420 | |
---|
| 421 | ws = ( c1 + c2 ) * w(k,j,i) + 0.25 * ( & |
---|
| 422 | a * ( w(k-1,j,i-1) + w(k-1,j,i) + w(k,j,i-1) + w(k,j,i) ) & |
---|
| 423 | + b * ( w(k-1,j-1,i) + w(k-1,j,i) + w(k,j-1,i) + w(k,j,i) ) & |
---|
| 424 | ) |
---|
| 425 | pt_i = 0.5 * ( pt(k,j,i) + a * pt(k,j,i-1) + b * pt(k,j-1,i) & |
---|
| 426 | + ( c1 + c2 ) * pt(k+1,j,i) ) |
---|
| 427 | |
---|
| 428 | pts = pt_i - hom(k,1,4,0) |
---|
| 429 | wspts = ws * pts |
---|
| 430 | |
---|
| 431 | ! |
---|
| 432 | !-- (2) Compute wall-parallel absolute velocity vel_total |
---|
| 433 | vel_total = SQRT( ws**2 + ( a+c1 ) * u_i**2 + ( b+c2 ) * v_i**2 ) |
---|
| 434 | |
---|
| 435 | ! |
---|
| 436 | !-- (3) Compute wall friction velocity us_wall |
---|
| 437 | IF ( rifs >= 0.0 ) THEN |
---|
| 438 | |
---|
| 439 | ! |
---|
| 440 | !-- Stable stratification (and neutral) |
---|
| 441 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
---|
| 442 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
---|
| 443 | ) |
---|
| 444 | ELSE |
---|
| 445 | |
---|
| 446 | ! |
---|
| 447 | !-- Unstable stratification |
---|
[187] | 448 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
| 449 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
[56] | 450 | |
---|
[187] | 451 | us_wall = kappa * vel_total / ( & |
---|
| 452 | LOG( zp / z0(j,i) ) - & |
---|
| 453 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
| 454 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
| 455 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
| 456 | ) |
---|
[56] | 457 | ENDIF |
---|
| 458 | |
---|
| 459 | ! |
---|
| 460 | !-- (4) Compute zp/L (corresponds to neutral Richardson flux number |
---|
| 461 | !-- rifs) |
---|
| 462 | rifs = -1.0 * zp * kappa * g * wspts / ( pt_i * (us_wall**3 + 1E-30) ) |
---|
| 463 | |
---|
| 464 | ! |
---|
| 465 | !-- Limit the value range of the Richardson numbers. |
---|
| 466 | !-- This is necessary for very small velocities (u,w --> 0), because |
---|
| 467 | !-- the absolute value of rif can then become very large, which in |
---|
| 468 | !-- consequence would result in very large shear stresses and very |
---|
| 469 | !-- small momentum fluxes (both are generally unrealistic). |
---|
| 470 | IF ( rifs < rif_min ) rifs = rif_min |
---|
| 471 | IF ( rifs > rif_max ) rifs = rif_max |
---|
| 472 | |
---|
| 473 | ! |
---|
| 474 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
---|
| 475 | IF ( rifs >= 0.0 ) THEN |
---|
| 476 | |
---|
| 477 | ! |
---|
| 478 | !-- Stable stratification (and neutral) |
---|
[53] | 479 | wall_flux(k) = kappa * & |
---|
| 480 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / & |
---|
[56] | 481 | ( LOG( zp / z0(j,i) ) + & |
---|
| 482 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
---|
[53] | 483 | ) |
---|
[52] | 484 | ELSE |
---|
[53] | 485 | |
---|
[56] | 486 | ! |
---|
| 487 | !-- Unstable stratification |
---|
[187] | 488 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
| 489 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
[52] | 490 | |
---|
[187] | 491 | wall_flux(k) = kappa * & |
---|
| 492 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / ( & |
---|
| 493 | LOG( zp / z0(j,i) ) - & |
---|
| 494 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
| 495 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
| 496 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
| 497 | ) |
---|
[56] | 498 | ENDIF |
---|
[187] | 499 | wall_flux(k) = -wall_flux(k) * us_wall |
---|
[53] | 500 | |
---|
[56] | 501 | ! |
---|
| 502 | !-- store rifs for next time step |
---|
| 503 | rif_wall(k,j,i,wall_index) = rifs |
---|
[53] | 504 | |
---|
[56] | 505 | ENDDO |
---|
[53] | 506 | |
---|
[56] | 507 | END SUBROUTINE wall_fluxes_ij |
---|
[53] | 508 | |
---|
[56] | 509 | |
---|
| 510 | |
---|
[53] | 511 | !------------------------------------------------------------------------------! |
---|
[56] | 512 | ! Call for all grid points |
---|
| 513 | !------------------------------------------------------------------------------! |
---|
| 514 | SUBROUTINE wall_fluxes_e( wall_flux, a, b, c1, c2, wall ) |
---|
| 515 | |
---|
| 516 | !------------------------------------------------------------------------------! |
---|
[53] | 517 | ! Description: |
---|
| 518 | ! ------------ |
---|
| 519 | ! Calculates momentum fluxes at vertical walls for routine production_e |
---|
| 520 | ! assuming Monin-Obukhov similarity. |
---|
| 521 | ! Indices: usvs a=1, vsus b=1, wsvs c1=1, wsus c2=1 (other=0). |
---|
| 522 | !------------------------------------------------------------------------------! |
---|
| 523 | |
---|
[56] | 524 | USE arrays_3d |
---|
| 525 | USE control_parameters |
---|
| 526 | USE grid_variables |
---|
| 527 | USE indices |
---|
| 528 | USE statistics |
---|
[53] | 529 | |
---|
[56] | 530 | IMPLICIT NONE |
---|
[53] | 531 | |
---|
[56] | 532 | INTEGER :: i, j, k, kk, wall_index |
---|
[187] | 533 | REAL :: a, b, c1, c2, h1, h2, u_i, v_i, us_wall, vel_total, vel_zp, & |
---|
| 534 | ws, zp |
---|
[53] | 535 | |
---|
[56] | 536 | REAL :: rifs |
---|
[53] | 537 | |
---|
[667] | 538 | REAL, DIMENSION(nysg:nyng,nxlg:nxrg) :: wall |
---|
[56] | 539 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wall_flux |
---|
[53] | 540 | |
---|
| 541 | |
---|
[56] | 542 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
---|
| 543 | wall_flux = 0.0 |
---|
| 544 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
---|
[53] | 545 | |
---|
[56] | 546 | DO i = nxl, nxr |
---|
| 547 | DO j = nys, nyn |
---|
| 548 | |
---|
| 549 | IF ( wall(j,i) /= 0.0 ) THEN |
---|
[53] | 550 | ! |
---|
[187] | 551 | !-- All subsequent variables are computed for scalar locations. |
---|
[56] | 552 | DO k = nzb_diff_s_inner(j,i)-1, nzb_diff_s_outer(j,i)-2 |
---|
[53] | 553 | ! |
---|
[187] | 554 | !-- (1) Compute rifs, u_i, v_i, and ws |
---|
[56] | 555 | IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
---|
| 556 | kk = nzb_diff_s_inner(j,i)-1 |
---|
| 557 | ELSE |
---|
| 558 | kk = k-1 |
---|
| 559 | ENDIF |
---|
| 560 | rifs = 0.5 * ( rif_wall(k,j,i,wall_index) + & |
---|
| 561 | a * rif_wall(k,j,i+1,1) + b * rif_wall(k,j+1,i,2) + & |
---|
| 562 | c1 * rif_wall(kk,j,i,3) + c2 * rif_wall(kk,j,i,4) & |
---|
| 563 | ) |
---|
[53] | 564 | |
---|
[187] | 565 | u_i = 0.5 * ( u(k,j,i) + u(k,j,i+1) ) |
---|
| 566 | v_i = 0.5 * ( v(k,j,i) + v(k,j+1,i) ) |
---|
| 567 | ws = 0.5 * ( w(k,j,i) + w(k-1,j,i) ) |
---|
[53] | 568 | ! |
---|
[187] | 569 | !-- (2) Compute wall-parallel absolute velocity vel_total and |
---|
| 570 | !-- interpolate appropriate velocity component vel_zp. |
---|
| 571 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
---|
| 572 | vel_zp = 0.5 * ( a * u_i + b * v_i + (c1+c2) * ws ) |
---|
| 573 | ! |
---|
| 574 | !-- (3) Compute wall friction velocity us_wall |
---|
| 575 | IF ( rifs >= 0.0 ) THEN |
---|
[53] | 576 | |
---|
| 577 | ! |
---|
[187] | 578 | !-- Stable stratification (and neutral) |
---|
| 579 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
---|
| 580 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
---|
| 581 | ) |
---|
| 582 | ELSE |
---|
| 583 | |
---|
| 584 | ! |
---|
| 585 | !-- Unstable stratification |
---|
| 586 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
| 587 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
| 588 | |
---|
| 589 | us_wall = kappa * vel_total / ( & |
---|
| 590 | LOG( zp / z0(j,i) ) - & |
---|
| 591 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
| 592 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
| 593 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
| 594 | ) |
---|
| 595 | ENDIF |
---|
| 596 | |
---|
| 597 | ! |
---|
| 598 | !-- Skip step (4) of wall_fluxes, because here rifs is already |
---|
| 599 | !-- available from (1) |
---|
| 600 | ! |
---|
[56] | 601 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
---|
[55] | 602 | |
---|
[56] | 603 | IF ( rifs >= 0.0 ) THEN |
---|
[53] | 604 | |
---|
| 605 | ! |
---|
[56] | 606 | !-- Stable stratification (and neutral) |
---|
| 607 | wall_flux(k,j,i) = kappa * vel_zp / & |
---|
| 608 | ( LOG( zp/z0(j,i) ) + 5.0*rifs * ( zp-z0(j,i) ) / zp ) |
---|
| 609 | ELSE |
---|
[53] | 610 | |
---|
| 611 | ! |
---|
[56] | 612 | !-- Unstable stratification |
---|
[187] | 613 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
| 614 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
[53] | 615 | |
---|
[187] | 616 | wall_flux(k,j,i) = kappa * vel_zp / ( & |
---|
| 617 | LOG( zp / z0(j,i) ) - & |
---|
| 618 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
| 619 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
| 620 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
| 621 | ) |
---|
[56] | 622 | ENDIF |
---|
[187] | 623 | wall_flux(k,j,i) = - wall_flux(k,j,i) * us_wall |
---|
[56] | 624 | |
---|
| 625 | ENDDO |
---|
| 626 | |
---|
| 627 | ENDIF |
---|
| 628 | |
---|
| 629 | ENDDO |
---|
| 630 | ENDDO |
---|
| 631 | |
---|
| 632 | END SUBROUTINE wall_fluxes_e |
---|
| 633 | |
---|
| 634 | |
---|
[1015] | 635 | !------------------------------------------------------------------------------! |
---|
| 636 | ! Call for all grid points - accelerator version |
---|
| 637 | !------------------------------------------------------------------------------! |
---|
| 638 | SUBROUTINE wall_fluxes_e_acc( wall_flux, a, b, c1, c2, wall ) |
---|
[56] | 639 | |
---|
| 640 | !------------------------------------------------------------------------------! |
---|
[1015] | 641 | ! Description: |
---|
| 642 | ! ------------ |
---|
| 643 | ! Calculates momentum fluxes at vertical walls for routine production_e |
---|
| 644 | ! assuming Monin-Obukhov similarity. |
---|
| 645 | ! Indices: usvs a=1, vsus b=1, wsvs c1=1, wsus c2=1 (other=0). |
---|
| 646 | !------------------------------------------------------------------------------! |
---|
| 647 | |
---|
| 648 | USE arrays_3d |
---|
| 649 | USE control_parameters |
---|
| 650 | USE grid_variables |
---|
| 651 | USE indices |
---|
| 652 | USE statistics |
---|
| 653 | |
---|
| 654 | IMPLICIT NONE |
---|
| 655 | |
---|
| 656 | INTEGER :: i, j, k, kk, max_outer, min_inner, wall_index |
---|
| 657 | REAL :: a, b, c1, c2, h1, h2, u_i, v_i, us_wall, vel_total, vel_zp, & |
---|
| 658 | ws, zp |
---|
| 659 | |
---|
| 660 | REAL :: rifs |
---|
| 661 | |
---|
| 662 | REAL, DIMENSION(nysg:nyng,nxlg:nxrg) :: wall |
---|
| 663 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wall_flux |
---|
| 664 | |
---|
| 665 | |
---|
| 666 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
---|
| 667 | wall_flux = 0.0 |
---|
| 668 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
---|
| 669 | |
---|
| 670 | min_inner = MINVAL( nzb_diff_s_inner(nys:nyn,nxl:nxr) ) - 1 |
---|
| 671 | max_outer = MAXVAL( nzb_diff_s_outer(nys:nyn,nxl:nxr) ) - 2 |
---|
| 672 | |
---|
| 673 | !$acc kernels present( nzb_diff_s_inner, nzb_diff_s_outer, pt, rif_wall ) & |
---|
| 674 | !$acc present( u, v, w, wall, wall_flux, z0 ) |
---|
| 675 | !$acc loop |
---|
[1128] | 676 | DO i = i_left, i_right |
---|
| 677 | DO j = j_south, j_north |
---|
[1015] | 678 | !$acc loop vector(32) |
---|
| 679 | DO k = min_inner, max_outer |
---|
| 680 | ! |
---|
| 681 | !-- All subsequent variables are computed for scalar locations |
---|
| 682 | IF ( k >= nzb_diff_s_inner(j,i)-1 .AND. & |
---|
| 683 | k <= nzb_diff_s_outer(j,i)-2 .AND. wall(j,i) /= 0.0 ) THEN |
---|
| 684 | ! |
---|
| 685 | !-- (1) Compute rifs, u_i, v_i, and ws |
---|
| 686 | IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
---|
| 687 | kk = nzb_diff_s_inner(j,i)-1 |
---|
| 688 | ELSE |
---|
| 689 | kk = k-1 |
---|
| 690 | ENDIF |
---|
| 691 | rifs = 0.5 * ( rif_wall(k,j,i,wall_index) + & |
---|
| 692 | a * rif_wall(k,j,i+1,1) + b * rif_wall(k,j+1,i,2) + & |
---|
| 693 | c1 * rif_wall(kk,j,i,3) + c2 * rif_wall(kk,j,i,4) & |
---|
| 694 | ) |
---|
| 695 | |
---|
| 696 | u_i = 0.5 * ( u(k,j,i) + u(k,j,i+1) ) |
---|
| 697 | v_i = 0.5 * ( v(k,j,i) + v(k,j+1,i) ) |
---|
| 698 | ws = 0.5 * ( w(k,j,i) + w(k-1,j,i) ) |
---|
| 699 | ! |
---|
| 700 | !-- (2) Compute wall-parallel absolute velocity vel_total and |
---|
| 701 | !-- interpolate appropriate velocity component vel_zp. |
---|
| 702 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
---|
| 703 | vel_zp = 0.5 * ( a * u_i + b * v_i + (c1+c2) * ws ) |
---|
| 704 | ! |
---|
| 705 | !-- (3) Compute wall friction velocity us_wall |
---|
| 706 | IF ( rifs >= 0.0 ) THEN |
---|
| 707 | |
---|
| 708 | ! |
---|
| 709 | !-- Stable stratification (and neutral) |
---|
| 710 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
---|
| 711 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
---|
| 712 | ) |
---|
| 713 | ELSE |
---|
| 714 | |
---|
| 715 | ! |
---|
| 716 | !-- Unstable stratification |
---|
| 717 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
| 718 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
| 719 | |
---|
| 720 | us_wall = kappa * vel_total / ( & |
---|
| 721 | LOG( zp / z0(j,i) ) - & |
---|
| 722 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
| 723 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
| 724 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
| 725 | ) |
---|
| 726 | ENDIF |
---|
| 727 | |
---|
| 728 | ! |
---|
| 729 | !-- Skip step (4) of wall_fluxes, because here rifs is already |
---|
| 730 | !-- available from (1) |
---|
| 731 | ! |
---|
| 732 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
---|
| 733 | |
---|
| 734 | IF ( rifs >= 0.0 ) THEN |
---|
| 735 | |
---|
| 736 | ! |
---|
| 737 | !-- Stable stratification (and neutral) |
---|
| 738 | wall_flux(k,j,i) = kappa * vel_zp / & |
---|
| 739 | ( LOG( zp/z0(j,i) ) + 5.0*rifs * ( zp-z0(j,i) ) / zp ) |
---|
| 740 | ELSE |
---|
| 741 | |
---|
| 742 | ! |
---|
| 743 | !-- Unstable stratification |
---|
| 744 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
| 745 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
| 746 | |
---|
| 747 | wall_flux(k,j,i) = kappa * vel_zp / ( & |
---|
| 748 | LOG( zp / z0(j,i) ) - & |
---|
| 749 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
| 750 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
| 751 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
| 752 | ) |
---|
| 753 | ENDIF |
---|
| 754 | wall_flux(k,j,i) = - wall_flux(k,j,i) * us_wall |
---|
| 755 | |
---|
| 756 | ENDIF |
---|
| 757 | |
---|
| 758 | ENDDO |
---|
| 759 | ENDDO |
---|
| 760 | ENDDO |
---|
| 761 | !$acc end kernels |
---|
| 762 | |
---|
| 763 | END SUBROUTINE wall_fluxes_e_acc |
---|
| 764 | |
---|
| 765 | |
---|
| 766 | !------------------------------------------------------------------------------! |
---|
[56] | 767 | ! Call for grid point i,j |
---|
| 768 | !------------------------------------------------------------------------------! |
---|
| 769 | SUBROUTINE wall_fluxes_e_ij( i, j, nzb_w, nzt_w, wall_flux, a, b, c1, c2 ) |
---|
| 770 | |
---|
| 771 | USE arrays_3d |
---|
| 772 | USE control_parameters |
---|
| 773 | USE grid_variables |
---|
| 774 | USE indices |
---|
| 775 | USE statistics |
---|
| 776 | |
---|
| 777 | IMPLICIT NONE |
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| 778 | |
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| 779 | INTEGER :: i, j, k, kk, nzb_w, nzt_w, wall_index |
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[187] | 780 | REAL :: a, b, c1, c2, h1, h2, u_i, v_i, us_wall, vel_total, vel_zp, & |
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| 781 | ws, zp |
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[56] | 782 | |
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| 783 | REAL :: rifs |
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| 784 | |
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| 785 | REAL, DIMENSION(nzb:nzt+1) :: wall_flux |
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| 786 | |
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| 787 | |
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| 788 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
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| 789 | wall_flux = 0.0 |
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| 790 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
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| 791 | |
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| 792 | ! |
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[187] | 793 | !-- All subsequent variables are computed for scalar locations. |
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[56] | 794 | DO k = nzb_w, nzt_w |
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| 795 | |
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| 796 | ! |
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[187] | 797 | !-- (1) Compute rifs, u_i, v_i, and ws |
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[56] | 798 | IF ( k == nzb_w ) THEN |
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| 799 | kk = nzb_w |
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[53] | 800 | ELSE |
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[56] | 801 | kk = k-1 |
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| 802 | ENDIF |
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| 803 | rifs = 0.5 * ( rif_wall(k,j,i,wall_index) + & |
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| 804 | a * rif_wall(k,j,i+1,1) + b * rif_wall(k,j+1,i,2) + & |
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| 805 | c1 * rif_wall(kk,j,i,3) + c2 * rif_wall(kk,j,i,4) & |
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| 806 | ) |
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| 807 | |
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[187] | 808 | u_i = 0.5 * ( u(k,j,i) + u(k,j,i+1) ) |
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| 809 | v_i = 0.5 * ( v(k,j,i) + v(k,j+1,i) ) |
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| 810 | ws = 0.5 * ( w(k,j,i) + w(k-1,j,i) ) |
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[56] | 811 | ! |
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[187] | 812 | !-- (2) Compute wall-parallel absolute velocity vel_total and |
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| 813 | !-- interpolate appropriate velocity component vel_zp. |
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| 814 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
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| 815 | vel_zp = 0.5 * ( a * u_i + b * v_i + (c1+c2) * ws ) |
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| 816 | ! |
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| 817 | !-- (3) Compute wall friction velocity us_wall |
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| 818 | IF ( rifs >= 0.0 ) THEN |
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[56] | 819 | |
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| 820 | ! |
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[187] | 821 | !-- Stable stratification (and neutral) |
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| 822 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
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| 823 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
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| 824 | ) |
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| 825 | ELSE |
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| 826 | |
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| 827 | ! |
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| 828 | !-- Unstable stratification |
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| 829 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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| 830 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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| 831 | |
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| 832 | us_wall = kappa * vel_total / ( & |
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| 833 | LOG( zp / z0(j,i) ) - & |
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| 834 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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| 835 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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| 836 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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| 837 | ) |
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| 838 | ENDIF |
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| 839 | |
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| 840 | ! |
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| 841 | !-- Skip step (4) of wall_fluxes, because here rifs is already |
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| 842 | !-- available from (1) |
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| 843 | ! |
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[56] | 844 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
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[187] | 845 | !-- First interpolate the velocity (this is different from |
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| 846 | !-- subroutine wall_fluxes because fluxes in subroutine |
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| 847 | !-- wall_fluxes_e are defined at scalar locations). |
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[56] | 848 | vel_zp = 0.5 * ( a * ( u(k,j,i) + u(k,j,i+1) ) + & |
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| 849 | b * ( v(k,j,i) + v(k,j+1,i) ) + & |
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| 850 | (c1+c2) * ( w(k,j,i) + w(k-1,j,i) ) & |
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| 851 | ) |
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| 852 | |
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| 853 | IF ( rifs >= 0.0 ) THEN |
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| 854 | |
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| 855 | ! |
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| 856 | !-- Stable stratification (and neutral) |
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| 857 | wall_flux(k) = kappa * vel_zp / & |
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| 858 | ( LOG( zp/z0(j,i) ) + 5.0*rifs * ( zp-z0(j,i) ) / zp ) |
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| 859 | ELSE |
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| 860 | |
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| 861 | ! |
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| 862 | !-- Unstable stratification |
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[187] | 863 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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| 864 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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[56] | 865 | |
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[187] | 866 | wall_flux(k) = kappa * vel_zp / ( & |
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| 867 | LOG( zp / z0(j,i) ) - & |
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| 868 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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| 869 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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| 870 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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| 871 | ) |
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[53] | 872 | ENDIF |
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[187] | 873 | wall_flux(k) = - wall_flux(k) * us_wall |
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[53] | 874 | |
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[56] | 875 | ENDDO |
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[53] | 876 | |
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[56] | 877 | END SUBROUTINE wall_fluxes_e_ij |
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| 878 | |
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| 879 | END MODULE wall_fluxes_mod |
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