1 | MODULE wall_fluxes_mod |
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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 1997-2014 Leibniz Universitaet Hannover |
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18 | !--------------------------------------------------------------------------------! |
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19 | ! |
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20 | ! Current revisions: |
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21 | ! ----------------- |
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22 | ! ONLY-attribute added to USE-statements, |
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23 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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24 | ! kinds are defined in new module kinds, |
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25 | ! old module precision_kind is removed, |
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26 | ! revision history before 2012 removed, |
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27 | ! comment fields (!:) to be used for variable explanations added to |
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28 | ! all variable declaration statements |
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29 | ! |
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30 | ! |
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31 | ! Former revisions: |
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32 | ! ----------------- |
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33 | ! $Id: wall_fluxes.f90 1320 2014-03-20 08:40:49Z raasch $ |
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34 | ! |
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35 | ! 1257 2013-11-08 15:18:40Z raasch |
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36 | ! openacc loop and loop vector clauses removed |
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37 | ! |
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38 | ! 1153 2013-05-10 14:33:08Z raasch |
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39 | ! code adjustments of accelerator version required by PGI 12.3 / CUDA 5.0 |
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40 | ! |
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41 | ! 1128 2013-04-12 06:19:32Z raasch |
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42 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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43 | ! j_north |
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44 | ! |
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45 | ! 1036 2012-10-22 13:43:42Z raasch |
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46 | ! code put under GPL (PALM 3.9) |
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47 | ! |
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48 | ! 1015 2012-09-27 09:23:24Z raasch |
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49 | ! accelerator version (*_acc) added |
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50 | ! |
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51 | ! Initial version (2007/03/07) |
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52 | ! |
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53 | ! Description: |
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54 | ! ------------ |
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55 | ! Calculates momentum fluxes at vertical walls assuming Monin-Obukhov |
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56 | ! similarity. |
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57 | ! Indices: usvs a=1, vsus b=1, wsvs c1=1, wsus c2=1 (other=0). |
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58 | ! The all-gridpoint version of wall_fluxes_e is not used so far, because |
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59 | ! it gives slightly different results from the ij-version for some unknown |
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60 | ! reason. |
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61 | !------------------------------------------------------------------------------! |
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62 | PRIVATE |
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63 | PUBLIC wall_fluxes, wall_fluxes_acc, wall_fluxes_e, wall_fluxes_e_acc |
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64 | |
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65 | INTERFACE wall_fluxes |
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66 | MODULE PROCEDURE wall_fluxes |
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67 | MODULE PROCEDURE wall_fluxes_ij |
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68 | END INTERFACE wall_fluxes |
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69 | |
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70 | INTERFACE wall_fluxes_acc |
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71 | MODULE PROCEDURE wall_fluxes_acc |
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72 | END INTERFACE wall_fluxes_acc |
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73 | |
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74 | INTERFACE wall_fluxes_e |
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75 | MODULE PROCEDURE wall_fluxes_e |
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76 | MODULE PROCEDURE wall_fluxes_e_ij |
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77 | END INTERFACE wall_fluxes_e |
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78 | |
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79 | INTERFACE wall_fluxes_e_acc |
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80 | MODULE PROCEDURE wall_fluxes_e_acc |
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81 | END INTERFACE wall_fluxes_e_acc |
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82 | |
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83 | CONTAINS |
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84 | |
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85 | !------------------------------------------------------------------------------! |
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86 | ! Call for all grid points |
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87 | !------------------------------------------------------------------------------! |
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88 | SUBROUTINE wall_fluxes( wall_flux, a, b, c1, c2, nzb_uvw_inner, & |
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89 | nzb_uvw_outer, wall ) |
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90 | |
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91 | USE arrays_3d, & |
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92 | ONLY: rif_wall, u, v, w, z0, pt |
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93 | |
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94 | USE control_parameters, & |
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95 | ONLY: g, kappa, rif_max, rif_min |
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96 | |
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97 | USE grid_variables, & |
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98 | ONLY: dx, dy |
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99 | |
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100 | USE indices, & |
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101 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzt |
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102 | |
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103 | USE kinds |
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104 | |
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105 | USE statistics, & |
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106 | ONLY: hom |
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107 | |
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108 | IMPLICIT NONE |
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109 | |
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110 | INTEGER(iwp) :: i !: |
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111 | INTEGER(iwp) :: j !: |
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112 | INTEGER(iwp) :: k !: |
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113 | INTEGER(iwp) :: wall_index !: |
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114 | |
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115 | INTEGER(iwp), & |
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116 | DIMENSION(nysg:nyng,nxlg:nxrg) :: & |
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117 | nzb_uvw_inner !: |
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118 | INTEGER(iwp), & |
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119 | DIMENSION(nysg:nyng,nxlg:nxrg) :: & |
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120 | nzb_uvw_outer !: |
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121 | |
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122 | REAL(wp) :: a !: |
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123 | REAL(wp) :: b !: |
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124 | REAL(wp) :: c1 !: |
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125 | REAL(wp) :: c2 !: |
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126 | REAL(wp) :: h1 !: |
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127 | REAL(wp) :: h2 !: |
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128 | REAL(wp) :: zp !: |
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129 | REAL(wp) :: pts !: |
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130 | REAL(wp) :: pt_i !: |
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131 | REAL(wp) :: rifs !: |
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132 | REAL(wp) :: u_i !: |
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133 | REAL(wp) :: v_i !: |
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134 | REAL(wp) :: us_wall !: |
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135 | REAL(wp) :: vel_total !: |
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136 | REAL(wp) :: ws !: |
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137 | REAL(wp) :: wspts !: |
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138 | |
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139 | REAL(wp), & |
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140 | DIMENSION(nysg:nyng,nxlg:nxrg) :: & |
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141 | wall !: |
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142 | |
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143 | REAL(wp), & |
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144 | DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: & |
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145 | wall_flux !: |
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146 | |
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147 | |
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148 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
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149 | wall_flux = 0.0 |
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150 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
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151 | |
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152 | DO i = nxl, nxr |
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153 | DO j = nys, nyn |
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154 | |
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155 | IF ( wall(j,i) /= 0.0 ) THEN |
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156 | ! |
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157 | !-- All subsequent variables are computed for the respective |
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158 | !-- location where the respective flux is defined. |
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159 | DO k = nzb_uvw_inner(j,i)+1, nzb_uvw_outer(j,i) |
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160 | |
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161 | ! |
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162 | !-- (1) Compute rifs, u_i, v_i, ws, pt' and w'pt' |
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163 | rifs = rif_wall(k,j,i,wall_index) |
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164 | |
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165 | u_i = a * u(k,j,i) + c1 * 0.25 * & |
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166 | ( u(k+1,j,i+1) + u(k+1,j,i) + u(k,j,i+1) + u(k,j,i) ) |
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167 | |
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168 | v_i = b * v(k,j,i) + c2 * 0.25 * & |
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169 | ( v(k+1,j+1,i) + v(k+1,j,i) + v(k,j+1,i) + v(k,j,i) ) |
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170 | |
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171 | ws = ( c1 + c2 ) * w(k,j,i) + 0.25 * ( & |
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172 | 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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173 | + 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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174 | ) |
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175 | pt_i = 0.5 * ( pt(k,j,i) + a * pt(k,j,i-1) + & |
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176 | b * pt(k,j-1,i) + ( c1 + c2 ) * pt(k+1,j,i) ) |
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177 | |
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178 | pts = pt_i - hom(k,1,4,0) |
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179 | wspts = ws * pts |
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180 | |
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181 | ! |
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182 | !-- (2) Compute wall-parallel absolute velocity vel_total |
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183 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
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184 | |
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185 | ! |
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186 | !-- (3) Compute wall friction velocity us_wall |
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187 | IF ( rifs >= 0.0 ) THEN |
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188 | |
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189 | ! |
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190 | !-- Stable stratification (and neutral) |
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191 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
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192 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
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193 | ) |
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194 | ELSE |
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195 | |
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196 | ! |
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197 | !-- Unstable stratification |
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198 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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199 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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200 | |
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201 | us_wall = kappa * vel_total / ( & |
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202 | LOG( zp / z0(j,i) ) - & |
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203 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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204 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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205 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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206 | ) |
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207 | ENDIF |
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208 | |
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209 | ! |
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210 | !-- (4) Compute zp/L (corresponds to neutral Richardson flux |
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211 | !-- number rifs) |
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212 | rifs = -1.0 * zp * kappa * g * wspts / ( pt_i * & |
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213 | ( us_wall**3 + 1E-30 ) ) |
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214 | |
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215 | ! |
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216 | !-- Limit the value range of the Richardson numbers. |
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217 | !-- This is necessary for very small velocities (u,w --> 0), |
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218 | !-- because the absolute value of rif can then become very |
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219 | !-- large, which in consequence would result in very large |
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220 | !-- shear stresses and very small momentum fluxes (both are |
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221 | !-- generally unrealistic). |
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222 | IF ( rifs < rif_min ) rifs = rif_min |
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223 | IF ( rifs > rif_max ) rifs = rif_max |
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224 | |
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225 | ! |
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226 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
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227 | IF ( rifs >= 0.0 ) THEN |
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228 | |
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229 | ! |
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230 | !-- Stable stratification (and neutral) |
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231 | wall_flux(k,j,i) = kappa * & |
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232 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / & |
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233 | ( LOG( zp / z0(j,i) ) + & |
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234 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
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235 | ) |
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236 | ELSE |
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237 | |
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238 | ! |
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239 | !-- Unstable stratification |
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240 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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241 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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242 | |
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243 | wall_flux(k,j,i) = kappa * & |
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244 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / ( & |
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245 | LOG( zp / z0(j,i) ) - & |
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246 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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247 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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248 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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249 | ) |
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250 | ENDIF |
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251 | wall_flux(k,j,i) = -wall_flux(k,j,i) * us_wall |
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252 | |
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253 | ! |
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254 | !-- store rifs for next time step |
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255 | rif_wall(k,j,i,wall_index) = rifs |
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256 | |
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257 | ENDDO |
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258 | |
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259 | ENDIF |
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260 | |
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261 | ENDDO |
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262 | ENDDO |
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263 | |
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264 | END SUBROUTINE wall_fluxes |
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265 | |
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266 | |
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267 | !------------------------------------------------------------------------------! |
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268 | ! Call for all grid points - accelerator version |
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269 | !------------------------------------------------------------------------------! |
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270 | SUBROUTINE wall_fluxes_acc( wall_flux, a, b, c1, c2, nzb_uvw_inner, & |
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271 | nzb_uvw_outer, wall ) |
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272 | |
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273 | USE arrays_3d, & |
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274 | ONLY: rif_wall, pt, u, v, w, z0 |
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275 | |
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276 | USE control_parameters, & |
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277 | ONLY: g, kappa, rif_max, rif_min |
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278 | |
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279 | USE grid_variables, & |
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280 | ONLY: dx, dy |
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281 | |
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282 | USE indices, & |
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283 | ONLY: i_left, i_right, j_north, j_south, nxl, nxlg, nxr, nxrg, & |
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284 | nyn, nyng, nys, nysg, nzb, nzt |
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285 | |
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286 | USE kinds |
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287 | |
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288 | USE statistics, & |
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289 | ONLY: hom |
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290 | |
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291 | IMPLICIT NONE |
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292 | |
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293 | INTEGER(iwp) :: i !: |
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294 | INTEGER(iwp) :: j !: |
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295 | INTEGER(iwp) :: k !: |
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296 | INTEGER(iwp) :: max_outer !: |
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297 | INTEGER(iwp) :: min_inner !: |
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298 | INTEGER(iwp) :: wall_index !: |
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299 | |
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300 | INTEGER(iwp), & |
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301 | DIMENSION(nysg:nyng,nxlg:nxrg) :: & |
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302 | nzb_uvw_inner !: |
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303 | INTEGER(iwp), & |
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304 | DIMENSION(nysg:nyng,nxlg:nxrg) :: & |
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305 | nzb_uvw_outer !: |
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306 | |
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307 | REAL(wp) :: a !: |
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308 | REAL(wp) :: b !: |
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309 | REAL(wp) :: c1 !: |
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310 | REAL(wp) :: c2 !: |
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311 | REAL(wp) :: h1 !: |
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312 | REAL(wp) :: h2 !: |
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313 | REAL(wp) :: zp !: |
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314 | REAL(wp) :: pts !: |
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315 | REAL(wp) :: pt_i !: |
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316 | REAL(wp) :: rifs !: |
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317 | REAL(wp) :: u_i !: |
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318 | REAL(wp) :: v_i !: |
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319 | REAL(wp) :: us_wall !: |
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320 | REAL(wp) :: vel_total !: |
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321 | REAL(wp) :: ws !: |
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322 | REAL(wp) :: wspts !: |
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323 | |
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324 | REAL(wp), & |
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325 | DIMENSION(nysg:nyng,nxlg:nxrg) :: & |
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326 | wall !: |
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327 | |
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328 | REAL(wp), & |
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329 | DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: & |
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330 | wall_flux !: |
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331 | |
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332 | |
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333 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
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334 | wall_flux = 0.0 |
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335 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
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336 | |
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337 | min_inner = MINVAL( nzb_uvw_inner(nys:nyn,nxl:nxr) ) + 1 |
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338 | max_outer = MINVAL( nzb_uvw_outer(nys:nyn,nxl:nxr) ) |
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339 | |
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340 | !$acc kernels present( hom, nzb_uvw_inner, nzb_uvw_outer, pt, rif_wall ) & |
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341 | !$acc present( u, v, w, wall, wall_flux, z0 ) |
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342 | !$acc loop independent |
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343 | DO i = i_left, i_right |
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344 | DO j = j_south, j_north |
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345 | |
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346 | IF ( wall(j,i) /= 0.0 ) THEN |
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347 | ! |
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348 | !-- All subsequent variables are computed for the respective |
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349 | !-- location where the respective flux is defined. |
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350 | !$acc loop independent |
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351 | DO k = nzb_uvw_inner(j,i)+1, nzb_uvw_outer(j,i) |
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352 | |
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353 | ! |
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354 | !-- (1) Compute rifs, u_i, v_i, ws, pt' and w'pt' |
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355 | rifs = rif_wall(k,j,i,wall_index) |
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356 | |
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357 | u_i = a * u(k,j,i) + c1 * 0.25 * & |
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358 | ( u(k+1,j,i+1) + u(k+1,j,i) + u(k,j,i+1) + u(k,j,i) ) |
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359 | |
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360 | v_i = b * v(k,j,i) + c2 * 0.25 * & |
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361 | ( v(k+1,j+1,i) + v(k+1,j,i) + v(k,j+1,i) + v(k,j,i) ) |
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362 | |
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363 | ws = ( c1 + c2 ) * w(k,j,i) + 0.25 * ( & |
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364 | 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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365 | + 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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366 | ) |
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367 | pt_i = 0.5 * ( pt(k,j,i) + a * pt(k,j,i-1) + & |
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368 | b * pt(k,j-1,i) + ( c1 + c2 ) * pt(k+1,j,i) ) |
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369 | |
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370 | pts = pt_i - hom(k,1,4,0) |
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371 | wspts = ws * pts |
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372 | |
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373 | ! |
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374 | !-- (2) Compute wall-parallel absolute velocity vel_total |
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375 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
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376 | |
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377 | ! |
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378 | !-- (3) Compute wall friction velocity us_wall |
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379 | IF ( rifs >= 0.0 ) THEN |
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380 | |
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381 | ! |
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382 | !-- Stable stratification (and neutral) |
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383 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
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384 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
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385 | ) |
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386 | ELSE |
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387 | |
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388 | ! |
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389 | !-- Unstable stratification |
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390 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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391 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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392 | |
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393 | us_wall = kappa * vel_total / ( & |
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394 | LOG( zp / z0(j,i) ) - & |
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395 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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396 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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397 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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398 | ) |
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399 | ENDIF |
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400 | |
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401 | ! |
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402 | !-- (4) Compute zp/L (corresponds to neutral Richardson flux |
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403 | !-- number rifs) |
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404 | rifs = -1.0 * zp * kappa * g * wspts / ( pt_i * & |
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405 | ( us_wall**3 + 1E-30 ) ) |
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406 | |
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407 | ! |
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408 | !-- Limit the value range of the Richardson numbers. |
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409 | !-- This is necessary for very small velocities (u,w --> 0), |
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410 | !-- because the absolute value of rif can then become very |
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411 | !-- large, which in consequence would result in very large |
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412 | !-- shear stresses and very small momentum fluxes (both are |
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413 | !-- generally unrealistic). |
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414 | IF ( rifs < rif_min ) rifs = rif_min |
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415 | IF ( rifs > rif_max ) rifs = rif_max |
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416 | |
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417 | ! |
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418 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
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419 | IF ( rifs >= 0.0 ) THEN |
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420 | |
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421 | ! |
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422 | !-- Stable stratification (and neutral) |
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423 | wall_flux(k,j,i) = kappa * & |
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424 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / & |
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425 | ( LOG( zp / z0(j,i) ) + & |
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426 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
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427 | ) |
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428 | ELSE |
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429 | |
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430 | ! |
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431 | !-- Unstable stratification |
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432 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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433 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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434 | |
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435 | wall_flux(k,j,i) = kappa * & |
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436 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / ( & |
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437 | LOG( zp / z0(j,i) ) - & |
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438 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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439 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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440 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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441 | ) |
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442 | ENDIF |
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443 | wall_flux(k,j,i) = -wall_flux(k,j,i) * us_wall |
---|
444 | |
---|
445 | ! |
---|
446 | !-- store rifs for next time step |
---|
447 | rif_wall(k,j,i,wall_index) = rifs |
---|
448 | |
---|
449 | ENDDO |
---|
450 | |
---|
451 | ENDIF |
---|
452 | |
---|
453 | ENDDO |
---|
454 | ENDDO |
---|
455 | !$acc end kernels |
---|
456 | |
---|
457 | END SUBROUTINE wall_fluxes_acc |
---|
458 | |
---|
459 | |
---|
460 | !------------------------------------------------------------------------------! |
---|
461 | ! Call for all grid point i,j |
---|
462 | !------------------------------------------------------------------------------! |
---|
463 | SUBROUTINE wall_fluxes_ij( i, j, nzb_w, nzt_w, wall_flux, a, b, c1, c2 ) |
---|
464 | |
---|
465 | USE arrays_3d, & |
---|
466 | ONLY: rif_wall, pt, u, v, w, z0 |
---|
467 | |
---|
468 | USE control_parameters, & |
---|
469 | ONLY: g, kappa, rif_max, rif_min |
---|
470 | |
---|
471 | USE grid_variables, & |
---|
472 | ONLY: dx, dy |
---|
473 | |
---|
474 | USE indices, & |
---|
475 | ONLY: nzb, nzt |
---|
476 | |
---|
477 | USE kinds |
---|
478 | |
---|
479 | USE statistics, & |
---|
480 | ONLY: hom |
---|
481 | |
---|
482 | IMPLICIT NONE |
---|
483 | |
---|
484 | INTEGER(iwp) :: i !: |
---|
485 | INTEGER(iwp) :: j !: |
---|
486 | INTEGER(iwp) :: k !: |
---|
487 | INTEGER(iwp) :: nzb_w !: |
---|
488 | INTEGER(iwp) :: nzt_w !: |
---|
489 | INTEGER(iwp) :: wall_index !: |
---|
490 | |
---|
491 | REAL(wp) :: a !: |
---|
492 | REAL(wp) :: b !: |
---|
493 | REAL(wp) :: c1 !: |
---|
494 | REAL(wp) :: c2 !: |
---|
495 | REAL(wp) :: h1 !: |
---|
496 | REAL(wp) :: h2 !: |
---|
497 | REAL(wp) :: zp !: |
---|
498 | REAL(wp) :: pts !: |
---|
499 | REAL(wp) :: pt_i !: |
---|
500 | REAL(wp) :: rifs !: |
---|
501 | REAL(wp) :: u_i !: |
---|
502 | REAL(wp) :: v_i !: |
---|
503 | REAL(wp) :: us_wall !: |
---|
504 | REAL(wp) :: vel_total !: |
---|
505 | REAL(wp) :: ws !: |
---|
506 | REAL(wp) :: wspts !: |
---|
507 | |
---|
508 | REAL(wp), DIMENSION(nzb:nzt+1) :: wall_flux !: |
---|
509 | |
---|
510 | |
---|
511 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
---|
512 | wall_flux = 0.0 |
---|
513 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
---|
514 | |
---|
515 | ! |
---|
516 | !-- All subsequent variables are computed for the respective location where |
---|
517 | !-- the respective flux is defined. |
---|
518 | DO k = nzb_w, nzt_w |
---|
519 | |
---|
520 | ! |
---|
521 | !-- (1) Compute rifs, u_i, v_i, ws, pt' and w'pt' |
---|
522 | rifs = rif_wall(k,j,i,wall_index) |
---|
523 | |
---|
524 | u_i = a * u(k,j,i) + c1 * 0.25 * & |
---|
525 | ( u(k+1,j,i+1) + u(k+1,j,i) + u(k,j,i+1) + u(k,j,i) ) |
---|
526 | |
---|
527 | v_i = b * v(k,j,i) + c2 * 0.25 * & |
---|
528 | ( v(k+1,j+1,i) + v(k+1,j,i) + v(k,j+1,i) + v(k,j,i) ) |
---|
529 | |
---|
530 | ws = ( c1 + c2 ) * w(k,j,i) + 0.25 * ( & |
---|
531 | a * ( w(k-1,j,i-1) + w(k-1,j,i) + w(k,j,i-1) + w(k,j,i) ) & |
---|
532 | + b * ( w(k-1,j-1,i) + w(k-1,j,i) + w(k,j-1,i) + w(k,j,i) ) & |
---|
533 | ) |
---|
534 | pt_i = 0.5 * ( pt(k,j,i) + a * pt(k,j,i-1) + b * pt(k,j-1,i) & |
---|
535 | + ( c1 + c2 ) * pt(k+1,j,i) ) |
---|
536 | |
---|
537 | pts = pt_i - hom(k,1,4,0) |
---|
538 | wspts = ws * pts |
---|
539 | |
---|
540 | ! |
---|
541 | !-- (2) Compute wall-parallel absolute velocity vel_total |
---|
542 | vel_total = SQRT( ws**2 + ( a+c1 ) * u_i**2 + ( b+c2 ) * v_i**2 ) |
---|
543 | |
---|
544 | ! |
---|
545 | !-- (3) Compute wall friction velocity us_wall |
---|
546 | IF ( rifs >= 0.0 ) THEN |
---|
547 | |
---|
548 | ! |
---|
549 | !-- Stable stratification (and neutral) |
---|
550 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
---|
551 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
---|
552 | ) |
---|
553 | ELSE |
---|
554 | |
---|
555 | ! |
---|
556 | !-- Unstable stratification |
---|
557 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
558 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
559 | |
---|
560 | us_wall = kappa * vel_total / ( & |
---|
561 | LOG( zp / z0(j,i) ) - & |
---|
562 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
563 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
564 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
565 | ) |
---|
566 | ENDIF |
---|
567 | |
---|
568 | ! |
---|
569 | !-- (4) Compute zp/L (corresponds to neutral Richardson flux number |
---|
570 | !-- rifs) |
---|
571 | rifs = -1.0 * zp * kappa * g * wspts / ( pt_i * (us_wall**3 + 1E-30) ) |
---|
572 | |
---|
573 | ! |
---|
574 | !-- Limit the value range of the Richardson numbers. |
---|
575 | !-- This is necessary for very small velocities (u,w --> 0), because |
---|
576 | !-- the absolute value of rif can then become very large, which in |
---|
577 | !-- consequence would result in very large shear stresses and very |
---|
578 | !-- small momentum fluxes (both are generally unrealistic). |
---|
579 | IF ( rifs < rif_min ) rifs = rif_min |
---|
580 | IF ( rifs > rif_max ) rifs = rif_max |
---|
581 | |
---|
582 | ! |
---|
583 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
---|
584 | IF ( rifs >= 0.0 ) THEN |
---|
585 | |
---|
586 | ! |
---|
587 | !-- Stable stratification (and neutral) |
---|
588 | wall_flux(k) = kappa * & |
---|
589 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / & |
---|
590 | ( LOG( zp / z0(j,i) ) + & |
---|
591 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
---|
592 | ) |
---|
593 | ELSE |
---|
594 | |
---|
595 | ! |
---|
596 | !-- Unstable stratification |
---|
597 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
598 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
599 | |
---|
600 | wall_flux(k) = kappa * & |
---|
601 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / ( & |
---|
602 | LOG( zp / z0(j,i) ) - & |
---|
603 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
604 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
605 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
606 | ) |
---|
607 | ENDIF |
---|
608 | wall_flux(k) = -wall_flux(k) * us_wall |
---|
609 | |
---|
610 | ! |
---|
611 | !-- store rifs for next time step |
---|
612 | rif_wall(k,j,i,wall_index) = rifs |
---|
613 | |
---|
614 | ENDDO |
---|
615 | |
---|
616 | END SUBROUTINE wall_fluxes_ij |
---|
617 | |
---|
618 | |
---|
619 | |
---|
620 | !------------------------------------------------------------------------------! |
---|
621 | ! Call for all grid points |
---|
622 | !------------------------------------------------------------------------------! |
---|
623 | SUBROUTINE wall_fluxes_e( wall_flux, a, b, c1, c2, wall ) |
---|
624 | |
---|
625 | !------------------------------------------------------------------------------! |
---|
626 | ! Description: |
---|
627 | ! ------------ |
---|
628 | ! Calculates momentum fluxes at vertical walls for routine production_e |
---|
629 | ! assuming Monin-Obukhov similarity. |
---|
630 | ! Indices: usvs a=1, vsus b=1, wsvs c1=1, wsus c2=1 (other=0). |
---|
631 | !------------------------------------------------------------------------------! |
---|
632 | |
---|
633 | USE arrays_3d, & |
---|
634 | ONLY: rif_wall, u, v, w, z0 |
---|
635 | |
---|
636 | USE control_parameters, & |
---|
637 | ONLY: kappa |
---|
638 | |
---|
639 | USE grid_variables, & |
---|
640 | ONLY: dx, dy |
---|
641 | |
---|
642 | USE indices, & |
---|
643 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, & |
---|
644 | nzb_diff_s_inner, nzb_diff_s_outer, nzt |
---|
645 | |
---|
646 | USE kinds |
---|
647 | |
---|
648 | IMPLICIT NONE |
---|
649 | |
---|
650 | INTEGER(iwp) :: i !: |
---|
651 | INTEGER(iwp) :: j !: |
---|
652 | INTEGER(iwp) :: k !: |
---|
653 | INTEGER(iwp) :: kk !: |
---|
654 | INTEGER(iwp) :: wall_index !: |
---|
655 | |
---|
656 | REAL(wp) :: a !: |
---|
657 | REAL(wp) :: b !: |
---|
658 | REAL(wp) :: c1 !: |
---|
659 | REAL(wp) :: c2 !: |
---|
660 | REAL(wp) :: h1 !: |
---|
661 | REAL(wp) :: h2 !: |
---|
662 | REAL(wp) :: u_i !: |
---|
663 | REAL(wp) :: v_i !: |
---|
664 | REAL(wp) :: us_wall !: |
---|
665 | REAL(wp) :: vel_total !: |
---|
666 | REAL(wp) :: vel_zp !: |
---|
667 | REAL(wp) :: ws !: |
---|
668 | REAL(wp) :: zp !: |
---|
669 | REAL(wp) :: rifs !: |
---|
670 | |
---|
671 | REAL(wp), & |
---|
672 | DIMENSION(nysg:nyng,nxlg:nxrg) :: & |
---|
673 | wall !: |
---|
674 | |
---|
675 | REAL(wp), & |
---|
676 | DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: & |
---|
677 | wall_flux !: |
---|
678 | |
---|
679 | |
---|
680 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
---|
681 | wall_flux = 0.0 |
---|
682 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
---|
683 | |
---|
684 | DO i = nxl, nxr |
---|
685 | DO j = nys, nyn |
---|
686 | |
---|
687 | IF ( wall(j,i) /= 0.0 ) THEN |
---|
688 | ! |
---|
689 | !-- All subsequent variables are computed for scalar locations. |
---|
690 | DO k = nzb_diff_s_inner(j,i)-1, nzb_diff_s_outer(j,i)-2 |
---|
691 | ! |
---|
692 | !-- (1) Compute rifs, u_i, v_i, and ws |
---|
693 | IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
---|
694 | kk = nzb_diff_s_inner(j,i)-1 |
---|
695 | ELSE |
---|
696 | kk = k-1 |
---|
697 | ENDIF |
---|
698 | rifs = 0.5 * ( rif_wall(k,j,i,wall_index) + & |
---|
699 | a * rif_wall(k,j,i+1,1) + b * rif_wall(k,j+1,i,2) + & |
---|
700 | c1 * rif_wall(kk,j,i,3) + c2 * rif_wall(kk,j,i,4) & |
---|
701 | ) |
---|
702 | |
---|
703 | u_i = 0.5 * ( u(k,j,i) + u(k,j,i+1) ) |
---|
704 | v_i = 0.5 * ( v(k,j,i) + v(k,j+1,i) ) |
---|
705 | ws = 0.5 * ( w(k,j,i) + w(k-1,j,i) ) |
---|
706 | ! |
---|
707 | !-- (2) Compute wall-parallel absolute velocity vel_total and |
---|
708 | !-- interpolate appropriate velocity component vel_zp. |
---|
709 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
---|
710 | vel_zp = 0.5 * ( a * u_i + b * v_i + (c1+c2) * ws ) |
---|
711 | ! |
---|
712 | !-- (3) Compute wall friction velocity us_wall |
---|
713 | IF ( rifs >= 0.0 ) THEN |
---|
714 | |
---|
715 | ! |
---|
716 | !-- Stable stratification (and neutral) |
---|
717 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
---|
718 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
---|
719 | ) |
---|
720 | ELSE |
---|
721 | |
---|
722 | ! |
---|
723 | !-- Unstable stratification |
---|
724 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
725 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
726 | |
---|
727 | us_wall = kappa * vel_total / ( & |
---|
728 | LOG( zp / z0(j,i) ) - & |
---|
729 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
730 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
731 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
732 | ) |
---|
733 | ENDIF |
---|
734 | |
---|
735 | ! |
---|
736 | !-- Skip step (4) of wall_fluxes, because here rifs is already |
---|
737 | !-- available from (1) |
---|
738 | ! |
---|
739 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
---|
740 | |
---|
741 | IF ( rifs >= 0.0 ) THEN |
---|
742 | |
---|
743 | ! |
---|
744 | !-- Stable stratification (and neutral) |
---|
745 | wall_flux(k,j,i) = kappa * vel_zp / & |
---|
746 | ( LOG( zp/z0(j,i) ) + 5.0*rifs * ( zp-z0(j,i) ) / zp ) |
---|
747 | ELSE |
---|
748 | |
---|
749 | ! |
---|
750 | !-- Unstable stratification |
---|
751 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
752 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
753 | |
---|
754 | wall_flux(k,j,i) = kappa * vel_zp / ( & |
---|
755 | LOG( zp / z0(j,i) ) - & |
---|
756 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
757 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
758 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
759 | ) |
---|
760 | ENDIF |
---|
761 | wall_flux(k,j,i) = - wall_flux(k,j,i) * us_wall |
---|
762 | |
---|
763 | ENDDO |
---|
764 | |
---|
765 | ENDIF |
---|
766 | |
---|
767 | ENDDO |
---|
768 | ENDDO |
---|
769 | |
---|
770 | END SUBROUTINE wall_fluxes_e |
---|
771 | |
---|
772 | |
---|
773 | !------------------------------------------------------------------------------! |
---|
774 | ! Call for all grid points - accelerator version |
---|
775 | !------------------------------------------------------------------------------! |
---|
776 | SUBROUTINE wall_fluxes_e_acc( wall_flux, a, b, c1, c2, wall ) |
---|
777 | |
---|
778 | !------------------------------------------------------------------------------! |
---|
779 | ! Description: |
---|
780 | ! ------------ |
---|
781 | ! Calculates momentum fluxes at vertical walls for routine production_e |
---|
782 | ! assuming Monin-Obukhov similarity. |
---|
783 | ! Indices: usvs a=1, vsus b=1, wsvs c1=1, wsus c2=1 (other=0). |
---|
784 | !------------------------------------------------------------------------------! |
---|
785 | |
---|
786 | USE arrays_3d, & |
---|
787 | ONLY: rif_wall, u, v, w, z0 |
---|
788 | |
---|
789 | USE control_parameters, & |
---|
790 | ONLY: kappa |
---|
791 | |
---|
792 | USE grid_variables, & |
---|
793 | ONLY: dx, dy |
---|
794 | |
---|
795 | USE indices, & |
---|
796 | ONLY: i_left, i_right, j_north, j_south, nxl, nxlg, nxr, nxrg, & |
---|
797 | nyn, nyng, nys, nysg, nzb, nzb_diff_s_inner, & |
---|
798 | nzb_diff_s_outer, nzt |
---|
799 | |
---|
800 | USE kinds |
---|
801 | |
---|
802 | IMPLICIT NONE |
---|
803 | |
---|
804 | INTEGER(iwp) :: i !: |
---|
805 | INTEGER(iwp) :: j !: |
---|
806 | INTEGER(iwp) :: k !: |
---|
807 | INTEGER(iwp) :: kk !: |
---|
808 | INTEGER(iwp) :: max_outer !: |
---|
809 | INTEGER(iwp) :: min_inner !: |
---|
810 | INTEGER(iwp) :: wall_index !: |
---|
811 | |
---|
812 | REAL(wp) :: a !: |
---|
813 | REAL(wp) :: b !: |
---|
814 | REAL(wp) :: c1 !: |
---|
815 | REAL(wp) :: c2 !: |
---|
816 | REAL(wp) :: h1 !: |
---|
817 | REAL(wp) :: h2 !: |
---|
818 | REAL(wp) :: u_i !: |
---|
819 | REAL(wp) :: v_i !: |
---|
820 | REAL(wp) :: us_wall !: |
---|
821 | REAL(wp) :: vel_total !: |
---|
822 | REAL(wp) :: vel_zp !: |
---|
823 | REAL(wp) :: ws !: |
---|
824 | REAL(wp) :: zp !: |
---|
825 | REAL(wp) :: rifs !: |
---|
826 | |
---|
827 | REAL(wp), & |
---|
828 | DIMENSION(nysg:nyng,nxlg:nxrg) :: & |
---|
829 | wall !: |
---|
830 | |
---|
831 | REAL(wp), & |
---|
832 | DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: & |
---|
833 | wall_flux !: |
---|
834 | |
---|
835 | |
---|
836 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
---|
837 | wall_flux = 0.0 |
---|
838 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
---|
839 | |
---|
840 | min_inner = MINVAL( nzb_diff_s_inner(nys:nyn,nxl:nxr) ) - 1 |
---|
841 | max_outer = MAXVAL( nzb_diff_s_outer(nys:nyn,nxl:nxr) ) - 2 |
---|
842 | |
---|
843 | !$acc kernels present( nzb_diff_s_inner, nzb_diff_s_outer, pt, rif_wall ) & |
---|
844 | !$acc present( u, v, w, wall, wall_flux, z0 ) |
---|
845 | DO i = i_left, i_right |
---|
846 | DO j = j_south, j_north |
---|
847 | DO k = min_inner, max_outer |
---|
848 | ! |
---|
849 | !-- All subsequent variables are computed for scalar locations |
---|
850 | IF ( k >= nzb_diff_s_inner(j,i)-1 .AND. & |
---|
851 | k <= nzb_diff_s_outer(j,i)-2 .AND. wall(j,i) /= 0.0 ) THEN |
---|
852 | ! |
---|
853 | !-- (1) Compute rifs, u_i, v_i, and ws |
---|
854 | IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
---|
855 | kk = nzb_diff_s_inner(j,i)-1 |
---|
856 | ELSE |
---|
857 | kk = k-1 |
---|
858 | ENDIF |
---|
859 | rifs = 0.5 * ( rif_wall(k,j,i,wall_index) + & |
---|
860 | a * rif_wall(k,j,i+1,1) + b * rif_wall(k,j+1,i,2) + & |
---|
861 | c1 * rif_wall(kk,j,i,3) + c2 * rif_wall(kk,j,i,4) & |
---|
862 | ) |
---|
863 | |
---|
864 | u_i = 0.5 * ( u(k,j,i) + u(k,j,i+1) ) |
---|
865 | v_i = 0.5 * ( v(k,j,i) + v(k,j+1,i) ) |
---|
866 | ws = 0.5 * ( w(k,j,i) + w(k-1,j,i) ) |
---|
867 | ! |
---|
868 | !-- (2) Compute wall-parallel absolute velocity vel_total and |
---|
869 | !-- interpolate appropriate velocity component vel_zp. |
---|
870 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
---|
871 | vel_zp = 0.5 * ( a * u_i + b * v_i + (c1+c2) * ws ) |
---|
872 | ! |
---|
873 | !-- (3) Compute wall friction velocity us_wall |
---|
874 | IF ( rifs >= 0.0 ) THEN |
---|
875 | |
---|
876 | ! |
---|
877 | !-- Stable stratification (and neutral) |
---|
878 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
---|
879 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
---|
880 | ) |
---|
881 | ELSE |
---|
882 | |
---|
883 | ! |
---|
884 | !-- Unstable stratification |
---|
885 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
886 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
887 | |
---|
888 | us_wall = kappa * vel_total / ( & |
---|
889 | LOG( zp / z0(j,i) ) - & |
---|
890 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
891 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
892 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
893 | ) |
---|
894 | ENDIF |
---|
895 | |
---|
896 | ! |
---|
897 | !-- Skip step (4) of wall_fluxes, because here rifs is already |
---|
898 | !-- available from (1) |
---|
899 | ! |
---|
900 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
---|
901 | |
---|
902 | IF ( rifs >= 0.0 ) THEN |
---|
903 | |
---|
904 | ! |
---|
905 | !-- Stable stratification (and neutral) |
---|
906 | wall_flux(k,j,i) = kappa * vel_zp / & |
---|
907 | ( LOG( zp/z0(j,i) ) + 5.0*rifs * ( zp-z0(j,i) ) / zp ) |
---|
908 | ELSE |
---|
909 | |
---|
910 | ! |
---|
911 | !-- Unstable stratification |
---|
912 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
913 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
914 | |
---|
915 | wall_flux(k,j,i) = kappa * vel_zp / ( & |
---|
916 | LOG( zp / z0(j,i) ) - & |
---|
917 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
918 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
919 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
920 | ) |
---|
921 | ENDIF |
---|
922 | wall_flux(k,j,i) = - wall_flux(k,j,i) * us_wall |
---|
923 | |
---|
924 | ENDIF |
---|
925 | |
---|
926 | ENDDO |
---|
927 | ENDDO |
---|
928 | ENDDO |
---|
929 | !$acc end kernels |
---|
930 | |
---|
931 | END SUBROUTINE wall_fluxes_e_acc |
---|
932 | |
---|
933 | |
---|
934 | !------------------------------------------------------------------------------! |
---|
935 | ! Call for grid point i,j |
---|
936 | !------------------------------------------------------------------------------! |
---|
937 | SUBROUTINE wall_fluxes_e_ij( i, j, nzb_w, nzt_w, wall_flux, a, b, c1, c2 ) |
---|
938 | |
---|
939 | USE arrays_3d, & |
---|
940 | ONLY: rif_wall, u, v, w, z0 |
---|
941 | |
---|
942 | USE control_parameters, & |
---|
943 | ONLY: kappa |
---|
944 | |
---|
945 | USE grid_variables, & |
---|
946 | ONLY: dx, dy |
---|
947 | |
---|
948 | USE indices, & |
---|
949 | ONLY: nzb, nzt |
---|
950 | |
---|
951 | USE kinds |
---|
952 | |
---|
953 | IMPLICIT NONE |
---|
954 | |
---|
955 | INTEGER(iwp) :: i !: |
---|
956 | INTEGER(iwp) :: j !: |
---|
957 | INTEGER(iwp) :: k !: |
---|
958 | INTEGER(iwp) :: kk !: |
---|
959 | INTEGER(iwp) :: nzb_w !: |
---|
960 | INTEGER(iwp) :: nzt_w !: |
---|
961 | INTEGER(iwp) :: wall_index !: |
---|
962 | |
---|
963 | REAL(wp) :: a !: |
---|
964 | REAL(wp) :: b !: |
---|
965 | REAL(wp) :: c1 !: |
---|
966 | REAL(wp) :: c2 !: |
---|
967 | REAL(wp) :: h1 !: |
---|
968 | REAL(wp) :: h2 !: |
---|
969 | REAL(wp) :: u_i !: |
---|
970 | REAL(wp) :: v_i !: |
---|
971 | REAL(wp) :: us_wall !: |
---|
972 | REAL(wp) :: vel_total !: |
---|
973 | REAL(wp) :: vel_zp !: |
---|
974 | REAL(wp) :: ws !: |
---|
975 | REAL(wp) :: zp !: |
---|
976 | REAL(wp) :: rifs !: |
---|
977 | |
---|
978 | REAL(wp), DIMENSION(nzb:nzt+1) :: wall_flux !: |
---|
979 | |
---|
980 | |
---|
981 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
---|
982 | wall_flux = 0.0 |
---|
983 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
---|
984 | |
---|
985 | ! |
---|
986 | !-- All subsequent variables are computed for scalar locations. |
---|
987 | DO k = nzb_w, nzt_w |
---|
988 | |
---|
989 | ! |
---|
990 | !-- (1) Compute rifs, u_i, v_i, and ws |
---|
991 | IF ( k == nzb_w ) THEN |
---|
992 | kk = nzb_w |
---|
993 | ELSE |
---|
994 | kk = k-1 |
---|
995 | ENDIF |
---|
996 | rifs = 0.5 * ( rif_wall(k,j,i,wall_index) + & |
---|
997 | a * rif_wall(k,j,i+1,1) + b * rif_wall(k,j+1,i,2) + & |
---|
998 | c1 * rif_wall(kk,j,i,3) + c2 * rif_wall(kk,j,i,4) & |
---|
999 | ) |
---|
1000 | |
---|
1001 | u_i = 0.5 * ( u(k,j,i) + u(k,j,i+1) ) |
---|
1002 | v_i = 0.5 * ( v(k,j,i) + v(k,j+1,i) ) |
---|
1003 | ws = 0.5 * ( w(k,j,i) + w(k-1,j,i) ) |
---|
1004 | ! |
---|
1005 | !-- (2) Compute wall-parallel absolute velocity vel_total and |
---|
1006 | !-- interpolate appropriate velocity component vel_zp. |
---|
1007 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
---|
1008 | vel_zp = 0.5 * ( a * u_i + b * v_i + (c1+c2) * ws ) |
---|
1009 | ! |
---|
1010 | !-- (3) Compute wall friction velocity us_wall |
---|
1011 | IF ( rifs >= 0.0 ) THEN |
---|
1012 | |
---|
1013 | ! |
---|
1014 | !-- Stable stratification (and neutral) |
---|
1015 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
---|
1016 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
---|
1017 | ) |
---|
1018 | ELSE |
---|
1019 | |
---|
1020 | ! |
---|
1021 | !-- Unstable stratification |
---|
1022 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
1023 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
1024 | |
---|
1025 | us_wall = kappa * vel_total / ( & |
---|
1026 | LOG( zp / z0(j,i) ) - & |
---|
1027 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
1028 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
1029 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
1030 | ) |
---|
1031 | ENDIF |
---|
1032 | |
---|
1033 | ! |
---|
1034 | !-- Skip step (4) of wall_fluxes, because here rifs is already |
---|
1035 | !-- available from (1) |
---|
1036 | ! |
---|
1037 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
---|
1038 | !-- First interpolate the velocity (this is different from |
---|
1039 | !-- subroutine wall_fluxes because fluxes in subroutine |
---|
1040 | !-- wall_fluxes_e are defined at scalar locations). |
---|
1041 | vel_zp = 0.5 * ( a * ( u(k,j,i) + u(k,j,i+1) ) + & |
---|
1042 | b * ( v(k,j,i) + v(k,j+1,i) ) + & |
---|
1043 | (c1+c2) * ( w(k,j,i) + w(k-1,j,i) ) & |
---|
1044 | ) |
---|
1045 | |
---|
1046 | IF ( rifs >= 0.0 ) THEN |
---|
1047 | |
---|
1048 | ! |
---|
1049 | !-- Stable stratification (and neutral) |
---|
1050 | wall_flux(k) = kappa * vel_zp / & |
---|
1051 | ( LOG( zp/z0(j,i) ) + 5.0*rifs * ( zp-z0(j,i) ) / zp ) |
---|
1052 | ELSE |
---|
1053 | |
---|
1054 | ! |
---|
1055 | !-- Unstable stratification |
---|
1056 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
1057 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
1058 | |
---|
1059 | wall_flux(k) = kappa * vel_zp / ( & |
---|
1060 | LOG( zp / z0(j,i) ) - & |
---|
1061 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
1062 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
1063 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
1064 | ) |
---|
1065 | ENDIF |
---|
1066 | wall_flux(k) = - wall_flux(k) * us_wall |
---|
1067 | |
---|
1068 | ENDDO |
---|
1069 | |
---|
1070 | END SUBROUTINE wall_fluxes_e_ij |
---|
1071 | |
---|
1072 | END MODULE wall_fluxes_mod |
---|