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