1 | MODULE diffusion_w_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 1997-2012 Leibniz University 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 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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23 | ! j_north |
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24 | ! |
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25 | ! Former revisions: |
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26 | ! ----------------- |
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27 | ! $Id: diffusion_w.f90 1128 2013-04-12 06:19:32Z raasch $ |
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28 | ! |
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29 | ! 1036 2012-10-22 13:43:42Z raasch |
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30 | ! code put under GPL (PALM 3.9) |
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31 | ! |
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32 | ! 1015 2012-09-27 09:23:24Z raasch |
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33 | ! accelerator version (*_acc) added |
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34 | ! |
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35 | ! 1001 2012-09-13 14:08:46Z raasch |
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36 | ! arrays comunicated by module instead of parameter list |
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37 | ! |
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38 | ! 978 2012-08-09 08:28:32Z fricke |
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39 | ! outflow damping layer removed |
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40 | ! kmxm_x/_z and kmxp_x/_z change to kmxm and kmxp |
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41 | ! kmym_y/_z and kmyp_y/_z change to kmym and kmyp |
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42 | ! |
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43 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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44 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
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45 | ! |
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46 | ! 366 2009-08-25 08:06:27Z raasch |
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47 | ! bc_lr/bc_ns replaced by bc_lr_cyc/bc_ns_cyc |
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48 | ! |
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49 | ! 75 2007-03-22 09:54:05Z raasch |
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50 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes, |
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51 | ! z0 removed from argument list |
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52 | ! |
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53 | ! 20 2007-02-26 00:12:32Z raasch |
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54 | ! Bugfix: ddzw dimensioned 1:nzt"+1" |
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55 | ! |
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56 | ! RCS Log replace by Id keyword, revision history cleaned up |
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57 | ! |
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58 | ! Revision 1.12 2006/02/23 10:38:03 raasch |
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59 | ! nzb_2d replaced by nzb_w_outer, wall functions added for all vertical walls, |
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60 | ! +z0 in argument list |
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61 | ! WARNING: loops containing the MAX function are still not properly vectorized! |
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62 | ! |
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63 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
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64 | ! Initial revision |
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65 | ! |
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66 | ! |
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67 | ! Description: |
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68 | ! ------------ |
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69 | ! Diffusion term of the w-component |
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70 | !------------------------------------------------------------------------------! |
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71 | |
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72 | USE wall_fluxes_mod |
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73 | |
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74 | PRIVATE |
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75 | PUBLIC diffusion_w, diffusion_w_acc |
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76 | |
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77 | INTERFACE diffusion_w |
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78 | MODULE PROCEDURE diffusion_w |
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79 | MODULE PROCEDURE diffusion_w_ij |
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80 | END INTERFACE diffusion_w |
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81 | |
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82 | INTERFACE diffusion_w_acc |
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83 | MODULE PROCEDURE diffusion_w_acc |
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84 | END INTERFACE diffusion_w_acc |
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85 | |
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86 | CONTAINS |
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87 | |
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88 | |
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89 | !------------------------------------------------------------------------------! |
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90 | ! Call for all grid points |
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91 | !------------------------------------------------------------------------------! |
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92 | SUBROUTINE diffusion_w |
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93 | |
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94 | USE arrays_3d |
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95 | USE control_parameters |
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96 | USE grid_variables |
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97 | USE indices |
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98 | |
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99 | IMPLICIT NONE |
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100 | |
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101 | INTEGER :: i, j, k |
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102 | REAL :: kmxm, kmxp, kmym, kmyp |
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103 | |
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104 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus, wsvs |
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105 | |
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106 | |
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107 | ! |
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108 | !-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical |
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109 | !-- walls, if neccessary |
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110 | IF ( topography /= 'flat' ) THEN |
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111 | CALL wall_fluxes( wsus, 0.0, 0.0, 0.0, 1.0, nzb_w_inner, & |
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112 | nzb_w_outer, wall_w_x ) |
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113 | CALL wall_fluxes( wsvs, 0.0, 0.0, 1.0, 0.0, nzb_w_inner, & |
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114 | nzb_w_outer, wall_w_y ) |
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115 | ENDIF |
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116 | |
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117 | DO i = nxl, nxr |
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118 | DO j = nys, nyn |
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119 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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120 | ! |
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121 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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122 | kmxp = 0.25 * & |
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123 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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124 | kmxm = 0.25 * & |
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125 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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126 | kmyp = 0.25 * & |
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127 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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128 | kmym = 0.25 * & |
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129 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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130 | |
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131 | tend(k,j,i) = tend(k,j,i) & |
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132 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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133 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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134 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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135 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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136 | & ) * ddx & |
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137 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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138 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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139 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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140 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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141 | & ) * ddy & |
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142 | & + 2.0 * ( & |
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143 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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144 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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145 | & ) * ddzu(k+1) |
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146 | ENDDO |
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147 | |
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148 | ! |
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149 | !-- Wall functions at all vertical walls, where necessary |
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150 | IF ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) THEN |
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151 | |
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152 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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153 | ! |
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154 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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155 | kmxp = 0.25 * & |
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156 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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157 | kmxm = 0.25 * & |
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158 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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159 | kmyp = 0.25 * & |
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160 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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161 | kmym = 0.25 * & |
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162 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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163 | |
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164 | tend(k,j,i) = tend(k,j,i) & |
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165 | + ( fwxp(j,i) * ( & |
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166 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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167 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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168 | ) & |
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169 | - fwxm(j,i) * ( & |
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170 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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171 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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172 | ) & |
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173 | + wall_w_x(j,i) * wsus(k,j,i) & |
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174 | ) * ddx & |
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175 | + ( fwyp(j,i) * ( & |
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176 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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177 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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178 | ) & |
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179 | - fwym(j,i) * ( & |
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180 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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181 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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182 | ) & |
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183 | + wall_w_y(j,i) * wsvs(k,j,i) & |
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184 | ) * ddy & |
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185 | + 2.0 * ( & |
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186 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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187 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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188 | ) * ddzu(k+1) |
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189 | ENDDO |
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190 | ENDIF |
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191 | |
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192 | ENDDO |
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193 | ENDDO |
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194 | |
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195 | END SUBROUTINE diffusion_w |
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196 | |
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197 | |
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198 | !------------------------------------------------------------------------------! |
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199 | ! Call for all grid points - accelerator version |
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200 | !------------------------------------------------------------------------------! |
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201 | SUBROUTINE diffusion_w_acc |
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202 | |
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203 | USE arrays_3d |
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204 | USE control_parameters |
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205 | USE grid_variables |
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206 | USE indices |
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207 | |
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208 | IMPLICIT NONE |
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209 | |
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210 | INTEGER :: i, j, k |
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211 | REAL :: kmxm, kmxp, kmym, kmyp |
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212 | |
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213 | !$acc declare create ( wsus, wsvs ) |
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214 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus, wsvs |
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215 | |
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216 | |
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217 | ! |
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218 | !-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical |
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219 | !-- walls, if neccessary |
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220 | IF ( topography /= 'flat' ) THEN |
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221 | CALL wall_fluxes_acc( wsus, 0.0, 0.0, 0.0, 1.0, nzb_w_inner, & |
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222 | nzb_w_outer, wall_w_x ) |
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223 | CALL wall_fluxes_acc( wsvs, 0.0, 0.0, 1.0, 0.0, nzb_w_inner, & |
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224 | nzb_w_outer, wall_w_y ) |
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225 | ENDIF |
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226 | |
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227 | !$acc kernels present ( u, v, w, km, tend, vsws, vswst ) & |
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228 | !$acc present ( ddzu, ddzw, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y ) & |
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229 | !$acc present ( nzb_w_inner, nzb_w_outer ) |
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230 | !$acc loop |
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231 | DO i = i_left, i_right |
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232 | DO j = j_south, j_north |
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233 | !$acc loop vector( 32 ) |
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234 | DO k = 1, nzt |
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235 | IF ( k > nzb_w_outer(j,i) ) THEN |
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236 | ! |
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237 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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238 | kmxp = 0.25 * & |
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239 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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240 | kmxm = 0.25 * & |
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241 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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242 | kmyp = 0.25 * & |
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243 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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244 | kmym = 0.25 * & |
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245 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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246 | |
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247 | tend(k,j,i) = tend(k,j,i) & |
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248 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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249 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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250 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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251 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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252 | & ) * ddx & |
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253 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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254 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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255 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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256 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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257 | & ) * ddy & |
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258 | & + 2.0 * ( & |
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259 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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260 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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261 | & ) * ddzu(k+1) |
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262 | ENDIF |
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263 | ENDDO |
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264 | |
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265 | ! |
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266 | !-- Wall functions at all vertical walls, where necessary |
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267 | !$acc loop vector( 32 ) |
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268 | DO k = 1,nzt |
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269 | |
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270 | IF ( k > nzb_w_inner(j,i) .AND. k <= nzb_w_outer(j,i) .AND. & |
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271 | wall_w_x(j,i) /= 0.0 .AND. wall_w_y(j,i) /= 0.0 ) THEN |
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272 | ! |
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273 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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274 | kmxp = 0.25 * & |
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275 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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276 | kmxm = 0.25 * & |
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277 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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278 | kmyp = 0.25 * & |
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279 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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280 | kmym = 0.25 * & |
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281 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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282 | |
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283 | tend(k,j,i) = tend(k,j,i) & |
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284 | + ( fwxp(j,i) * ( & |
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285 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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286 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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287 | ) & |
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288 | - fwxm(j,i) * ( & |
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289 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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290 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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291 | ) & |
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292 | + wall_w_x(j,i) * wsus(k,j,i) & |
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293 | ) * ddx & |
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294 | + ( fwyp(j,i) * ( & |
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295 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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296 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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297 | ) & |
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298 | - fwym(j,i) * ( & |
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299 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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300 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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301 | ) & |
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302 | + wall_w_y(j,i) * wsvs(k,j,i) & |
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303 | ) * ddy & |
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304 | + 2.0 * ( & |
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305 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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306 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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307 | ) * ddzu(k+1) |
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308 | ENDIF |
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309 | ENDDO |
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310 | |
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311 | ENDDO |
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312 | ENDDO |
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313 | !$acc end kernels |
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314 | |
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315 | END SUBROUTINE diffusion_w_acc |
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316 | |
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317 | |
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318 | !------------------------------------------------------------------------------! |
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319 | ! Call for grid point i,j |
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320 | !------------------------------------------------------------------------------! |
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321 | SUBROUTINE diffusion_w_ij( i, j ) |
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322 | |
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323 | USE arrays_3d |
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324 | USE control_parameters |
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325 | USE grid_variables |
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326 | USE indices |
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327 | |
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328 | IMPLICIT NONE |
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329 | |
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330 | INTEGER :: i, j, k |
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331 | REAL :: kmxm, kmxp, kmym, kmyp |
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332 | |
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333 | REAL, DIMENSION(nzb:nzt+1) :: wsus, wsvs |
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334 | |
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335 | |
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336 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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337 | ! |
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338 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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339 | kmxp = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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340 | kmxm = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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341 | kmyp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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342 | kmym = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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343 | |
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344 | tend(k,j,i) = tend(k,j,i) & |
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345 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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346 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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347 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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348 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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349 | & ) * ddx & |
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350 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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351 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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352 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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353 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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354 | & ) * ddy & |
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355 | & + 2.0 * ( & |
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356 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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357 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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358 | & ) * ddzu(k+1) |
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359 | ENDDO |
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360 | |
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361 | ! |
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362 | !-- Wall functions at all vertical walls, where necessary |
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363 | IF ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) THEN |
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364 | |
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365 | ! |
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366 | !-- Calculate the horizontal momentum fluxes w'u' and/or w'v' |
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367 | IF ( wall_w_x(j,i) /= 0.0 ) THEN |
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368 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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369 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
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370 | ELSE |
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371 | wsus = 0.0 |
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372 | ENDIF |
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373 | |
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374 | IF ( wall_w_y(j,i) /= 0.0 ) THEN |
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375 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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376 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
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377 | ELSE |
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378 | wsvs = 0.0 |
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379 | ENDIF |
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380 | |
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381 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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382 | ! |
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383 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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384 | kmxp = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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385 | kmxm = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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386 | kmyp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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387 | kmym = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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388 | |
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389 | tend(k,j,i) = tend(k,j,i) & |
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390 | + ( fwxp(j,i) * ( & |
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391 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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392 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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393 | ) & |
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394 | - fwxm(j,i) * ( & |
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395 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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396 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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397 | ) & |
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398 | + wall_w_x(j,i) * wsus(k) & |
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399 | ) * ddx & |
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400 | + ( fwyp(j,i) * ( & |
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401 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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402 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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403 | ) & |
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404 | - fwym(j,i) * ( & |
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405 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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406 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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407 | ) & |
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408 | + wall_w_y(j,i) * wsvs(k) & |
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409 | ) * ddy & |
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410 | + 2.0 * ( & |
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411 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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412 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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413 | ) * ddzu(k+1) |
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414 | ENDDO |
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415 | ENDIF |
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416 | |
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417 | END SUBROUTINE diffusion_w_ij |
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418 | |
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419 | END MODULE diffusion_w_mod |
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