1 | !> @file diffusion_w.f90 |
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2 | !------------------------------------------------------------------------------! |
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3 | ! This file is part of PALM. |
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4 | ! |
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5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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6 | ! terms of the GNU General Public License as published by the Free Software |
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7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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8 | ! version. |
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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 1997-2017 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 | ! |
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23 | ! |
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24 | ! Former revisions: |
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25 | ! ----------------- |
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26 | ! $Id: diffusion_w.f90 2119 2017-01-17 16:51:50Z maronga $ |
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27 | ! |
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28 | ! 2118 2017-01-17 16:38:49Z raasch |
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29 | ! OpenACC version of subroutine removed |
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30 | ! |
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31 | ! 2037 2016-10-26 11:15:40Z knoop |
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32 | ! Anelastic approximation implemented |
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33 | ! |
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34 | ! 2000 2016-08-20 18:09:15Z knoop |
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35 | ! Forced header and separation lines into 80 columns |
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36 | ! |
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37 | ! 1873 2016-04-18 14:50:06Z maronga |
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38 | ! Module renamed (removed _mod) |
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39 | ! |
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40 | ! 1850 2016-04-08 13:29:27Z maronga |
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41 | ! Module renamed |
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42 | ! |
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43 | ! 1682 2015-10-07 23:56:08Z knoop |
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44 | ! Code annotations made doxygen readable |
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45 | ! |
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46 | ! 1374 2014-04-25 12:55:07Z raasch |
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47 | ! vsws + vswst removed from acc-present-list |
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48 | ! |
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49 | ! 1353 2014-04-08 15:21:23Z heinze |
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50 | ! REAL constants provided with KIND-attribute |
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51 | ! |
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52 | ! 1340 2014-03-25 19:45:13Z kanani |
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53 | ! REAL constants defined as wp-kind |
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54 | ! |
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55 | ! 1322 2014-03-20 16:38:49Z raasch |
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56 | ! REAL constants defined as wp-kind |
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57 | ! |
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58 | ! 1320 2014-03-20 08:40:49Z raasch |
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59 | ! ONLY-attribute added to USE-statements, |
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60 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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61 | ! kinds are defined in new module kinds, |
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62 | ! revision history before 2012 removed, |
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63 | ! comment fields (!:) to be used for variable explanations added to |
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64 | ! all variable declaration statements |
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65 | ! |
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66 | ! 1257 2013-11-08 15:18:40Z raasch |
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67 | ! openacc loop and loop vector clauses removed, declare create moved after |
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68 | ! the FORTRAN declaration statement |
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69 | ! |
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70 | ! 1128 2013-04-12 06:19:32Z raasch |
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71 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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72 | ! j_north |
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73 | ! |
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74 | ! 1036 2012-10-22 13:43:42Z raasch |
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75 | ! code put under GPL (PALM 3.9) |
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76 | ! |
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77 | ! 1015 2012-09-27 09:23:24Z raasch |
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78 | ! accelerator version (*_acc) added |
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79 | ! |
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80 | ! 1001 2012-09-13 14:08:46Z raasch |
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81 | ! arrays comunicated by module instead of parameter list |
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82 | ! |
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83 | ! 978 2012-08-09 08:28:32Z fricke |
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84 | ! outflow damping layer removed |
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85 | ! kmxm_x/_z and kmxp_x/_z change to kmxm and kmxp |
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86 | ! kmym_y/_z and kmyp_y/_z change to kmym and kmyp |
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87 | ! |
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88 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
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89 | ! Initial revision |
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90 | ! |
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91 | ! |
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92 | ! Description: |
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93 | ! ------------ |
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94 | !> Diffusion term of the w-component |
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95 | !------------------------------------------------------------------------------! |
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96 | MODULE diffusion_w_mod |
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97 | |
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98 | |
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99 | USE wall_fluxes_mod, & |
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100 | ONLY : wall_fluxes |
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101 | |
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102 | PRIVATE |
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103 | PUBLIC diffusion_w |
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104 | |
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105 | INTERFACE diffusion_w |
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106 | MODULE PROCEDURE diffusion_w |
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107 | MODULE PROCEDURE diffusion_w_ij |
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108 | END INTERFACE diffusion_w |
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109 | |
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110 | CONTAINS |
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111 | |
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112 | |
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113 | !------------------------------------------------------------------------------! |
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114 | ! Description: |
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115 | ! ------------ |
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116 | !> Call for all grid points |
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117 | !------------------------------------------------------------------------------! |
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118 | SUBROUTINE diffusion_w |
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119 | |
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120 | USE arrays_3d, & |
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121 | ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air |
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122 | |
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123 | USE control_parameters, & |
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124 | ONLY : topography |
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125 | |
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126 | USE grid_variables, & |
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127 | ONLY : ddx, ddy, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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128 | |
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129 | USE indices, & |
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130 | ONLY : nxl, nxr, nyn, nys, nzb, nzb_w_inner, nzb_w_outer, nzt |
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131 | |
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132 | USE kinds |
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133 | |
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134 | IMPLICIT NONE |
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135 | |
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136 | INTEGER(iwp) :: i !< |
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137 | INTEGER(iwp) :: j !< |
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138 | INTEGER(iwp) :: k !< |
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139 | |
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140 | REAL(wp) :: kmxm !< |
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141 | REAL(wp) :: kmxp !< |
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142 | REAL(wp) :: kmym !< |
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143 | REAL(wp) :: kmyp !< |
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144 | |
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145 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus !< |
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146 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsvs !< |
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147 | |
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148 | |
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149 | ! |
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150 | !-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical |
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151 | !-- walls, if neccessary |
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152 | IF ( topography /= 'flat' ) THEN |
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153 | CALL wall_fluxes( wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, nzb_w_inner, & |
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154 | nzb_w_outer, wall_w_x ) |
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155 | CALL wall_fluxes( wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp, nzb_w_inner, & |
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156 | nzb_w_outer, wall_w_y ) |
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157 | ENDIF |
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158 | |
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159 | DO i = nxl, nxr |
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160 | DO j = nys, nyn |
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161 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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162 | ! |
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163 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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164 | kmxp = 0.25_wp * & |
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165 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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166 | kmxm = 0.25_wp * & |
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167 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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168 | kmyp = 0.25_wp * & |
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169 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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170 | kmym = 0.25_wp * & |
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171 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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172 | |
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173 | tend(k,j,i) = tend(k,j,i) & |
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174 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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175 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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176 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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177 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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178 | & ) * ddx & |
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179 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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180 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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181 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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182 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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183 | & ) * ddy & |
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184 | & + 2.0_wp * ( & |
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185 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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186 | & * rho_air(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 | & * rho_air(k) & |
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189 | & ) * ddzu(k+1) * drho_air_zw(k) |
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190 | ENDDO |
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191 | |
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192 | ! |
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193 | !-- Wall functions at all vertical walls, where necessary |
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194 | IF ( wall_w_x(j,i) /= 0.0_wp .OR. wall_w_y(j,i) /= 0.0_wp ) THEN |
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195 | |
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196 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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197 | ! |
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198 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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199 | kmxp = 0.25_wp * & |
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200 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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201 | kmxm = 0.25_wp * & |
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202 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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203 | kmyp = 0.25_wp * & |
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204 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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205 | kmym = 0.25_wp * & |
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206 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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207 | |
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208 | tend(k,j,i) = tend(k,j,i) & |
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209 | + ( fwxp(j,i) * ( & |
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210 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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211 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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212 | ) & |
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213 | - fwxm(j,i) * ( & |
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214 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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215 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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216 | ) & |
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217 | + wall_w_x(j,i) * wsus(k,j,i) & |
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218 | ) * ddx & |
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219 | + ( fwyp(j,i) * ( & |
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220 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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221 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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222 | ) & |
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223 | - fwym(j,i) * ( & |
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224 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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225 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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226 | ) & |
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227 | + wall_w_y(j,i) * wsvs(k,j,i) & |
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228 | ) * ddy & |
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229 | + 2.0_wp * ( & |
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230 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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231 | * rho_air(k+1) & |
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232 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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233 | * rho_air(k) & |
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234 | ) * ddzu(k+1) * drho_air_zw(k) |
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235 | ENDDO |
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236 | ENDIF |
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237 | |
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238 | ENDDO |
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239 | ENDDO |
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240 | |
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241 | END SUBROUTINE diffusion_w |
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242 | |
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243 | |
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244 | !------------------------------------------------------------------------------! |
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245 | ! Description: |
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246 | ! ------------ |
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247 | !> Call for grid point i,j |
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248 | !------------------------------------------------------------------------------! |
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249 | SUBROUTINE diffusion_w_ij( i, j ) |
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250 | |
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251 | USE arrays_3d, & |
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252 | ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air |
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253 | |
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254 | USE control_parameters, & |
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255 | ONLY : topography |
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256 | |
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257 | USE grid_variables, & |
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258 | ONLY : ddx, ddy, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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259 | |
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260 | USE indices, & |
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261 | ONLY : nxl, nxr, nyn, nys, nzb, nzb_w_inner, nzb_w_outer, nzt |
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262 | |
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263 | USE kinds |
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264 | |
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265 | IMPLICIT NONE |
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266 | |
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267 | INTEGER(iwp) :: i !< |
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268 | INTEGER(iwp) :: j !< |
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269 | INTEGER(iwp) :: k !< |
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270 | |
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271 | REAL(wp) :: kmxm !< |
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272 | REAL(wp) :: kmxp !< |
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273 | REAL(wp) :: kmym !< |
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274 | REAL(wp) :: kmyp !< |
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275 | |
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276 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsus |
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277 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs |
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278 | |
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279 | |
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280 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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281 | ! |
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282 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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283 | kmxp = 0.25_wp * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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284 | kmxm = 0.25_wp * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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285 | kmyp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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286 | kmym = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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287 | |
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288 | tend(k,j,i) = tend(k,j,i) & |
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289 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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290 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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291 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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292 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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293 | & ) * ddx & |
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294 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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295 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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296 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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297 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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298 | & ) * ddy & |
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299 | & + 2.0_wp * ( & |
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300 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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301 | & * rho_air(k+1) & |
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302 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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303 | & * rho_air(k) & |
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304 | & ) * ddzu(k+1) * drho_air_zw(k) |
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305 | ENDDO |
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306 | |
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307 | ! |
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308 | !-- Wall functions at all vertical walls, where necessary |
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309 | IF ( wall_w_x(j,i) /= 0.0_wp .OR. wall_w_y(j,i) /= 0.0_wp ) THEN |
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310 | |
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311 | ! |
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312 | !-- Calculate the horizontal momentum fluxes w'u' and/or w'v' |
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313 | IF ( wall_w_x(j,i) /= 0.0_wp ) THEN |
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314 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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315 | wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) |
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316 | ELSE |
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317 | wsus = 0.0_wp |
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318 | ENDIF |
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319 | |
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320 | IF ( wall_w_y(j,i) /= 0.0_wp ) THEN |
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321 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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322 | wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) |
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323 | ELSE |
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324 | wsvs = 0.0_wp |
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325 | ENDIF |
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326 | |
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327 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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328 | ! |
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329 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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330 | kmxp = 0.25_wp * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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331 | kmxm = 0.25_wp * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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332 | kmyp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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333 | kmym = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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334 | |
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335 | tend(k,j,i) = tend(k,j,i) & |
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336 | + ( fwxp(j,i) * ( & |
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337 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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338 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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339 | ) & |
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340 | - fwxm(j,i) * ( & |
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341 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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342 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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343 | ) & |
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344 | + wall_w_x(j,i) * wsus(k) & |
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345 | ) * ddx & |
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346 | + ( fwyp(j,i) * ( & |
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347 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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348 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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349 | ) & |
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350 | - fwym(j,i) * ( & |
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351 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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352 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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353 | ) & |
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354 | + wall_w_y(j,i) * wsvs(k) & |
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355 | ) * ddy & |
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356 | + 2.0_wp * ( & |
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357 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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358 | * rho_air(k+1) & |
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359 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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360 | * rho_air(k) & |
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361 | ) * ddzu(k+1) * drho_air_zw(k) |
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362 | ENDDO |
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363 | ENDIF |
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364 | |
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365 | END SUBROUTINE diffusion_w_ij |
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366 | |
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367 | END MODULE diffusion_w_mod |
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