1 | !> @file advec_s_pw.f90 |
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2 | !--------------------------------------------------------------------------------------------------! |
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3 | ! This file is part of the PALM model system. |
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4 | ! |
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5 | ! PALM is free software: you can redistribute it and/or modify it under the terms of the GNU General |
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6 | ! Public License as published by the Free Software Foundation, either version 3 of the License, or |
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7 | ! (at your option) any later version. |
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8 | ! |
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9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the |
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10 | ! implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General |
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11 | ! Public License for more details. |
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12 | ! |
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13 | ! You should have received a copy of the GNU General Public License along with PALM. If not, see |
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14 | ! <http://www.gnu.org/licenses/>. |
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15 | ! |
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16 | ! Copyright 1997-2020 Leibniz Universitaet Hannover |
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17 | !--------------------------------------------------------------------------------------------------! |
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18 | ! |
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19 | ! Current revisions: |
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20 | ! ----------------- |
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21 | ! |
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22 | ! |
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23 | ! Former revisions: |
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24 | ! ----------------- |
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25 | ! $Id: advec_s_pw.f90 4488 2020-04-03 11:34:29Z raasch $ |
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26 | ! file re-formatted to follow the PALM coding standard |
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27 | ! |
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28 | ! 4360 2020-01-07 11:25:50Z suehring |
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29 | ! Corrected "Former revisions" section |
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30 | ! |
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31 | ! 3927 2019-04-23 13:24:29Z raasch |
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32 | ! pointer attribute removed from scalar 3d-array for performance reasons |
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33 | ! |
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34 | ! 3665 2019-01-10 08:28:24Z raasch |
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35 | ! unused variables removed |
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36 | ! |
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37 | ! 3655 2019-01-07 16:51:22Z knoop |
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38 | ! nopointer option removed |
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39 | ! |
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40 | ! Revision 1.1 1997/08/29 08:54:20 raasch |
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41 | ! Initial revision |
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42 | ! |
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43 | ! |
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44 | ! Description: |
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45 | ! ------------ |
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46 | !> Advection term for scalar variables using the Piacsek and Williams scheme (form C3). Contrary to |
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47 | !> PW itself, for reasons of accuracy their scheme is slightly modified as follows: the values of |
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48 | !> those scalars that are used for the computation of the flux divergence are reduced by the value |
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49 | !> of the relevant scalar at the location where the difference is computed (sk(k,j,i)). |
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50 | !> NOTE: at the first grid point above the surface computation still takes place! |
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51 | !--------------------------------------------------------------------------------------------------! |
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52 | MODULE advec_s_pw_mod |
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53 | |
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54 | |
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55 | PRIVATE |
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56 | PUBLIC advec_s_pw |
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57 | |
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58 | INTERFACE advec_s_pw |
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59 | MODULE PROCEDURE advec_s_pw |
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60 | MODULE PROCEDURE advec_s_pw_ij |
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61 | END INTERFACE |
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62 | |
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63 | CONTAINS |
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64 | |
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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 | !> Call for all grid points |
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70 | !--------------------------------------------------------------------------------------------------! |
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71 | SUBROUTINE advec_s_pw( sk ) |
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72 | |
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73 | USE arrays_3d, & |
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74 | ONLY: dd2zu, tend, u, u_stokes_zu, v, v_stokes_zu, w |
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75 | |
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76 | USE control_parameters, & |
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77 | ONLY: u_gtrans, v_gtrans |
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78 | |
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79 | USE grid_variables, & |
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80 | ONLY: ddx, ddy |
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81 | |
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82 | USE indices, & |
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83 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzt |
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84 | |
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85 | USE kinds |
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86 | |
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87 | |
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88 | IMPLICIT NONE |
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89 | |
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90 | INTEGER(iwp) :: i !< grid index along x-direction |
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91 | INTEGER(iwp) :: j !< grid index along y-direction |
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92 | INTEGER(iwp) :: k !< grid index along z-direction |
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93 | |
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94 | REAL(wp) :: gu !< local additional advective velocity |
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95 | REAL(wp) :: gv !< local additional advective velocity |
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96 | |
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97 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk |
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98 | |
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99 | |
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100 | DO i = nxl, nxr |
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101 | DO j = nys, nyn |
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102 | DO k = nzb+1, nzt |
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103 | |
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104 | ! |
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105 | !-- Galilean transformation + Stokes drift velocity (ocean only) |
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106 | gu = u_gtrans - u_stokes_zu(k) |
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107 | gv = v_gtrans - v_stokes_zu(k) |
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108 | |
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109 | tend(k,j,i) = tend(k,j,i) + & |
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110 | ( -0.5_wp * ( ( u(k,j,i+1) - gu ) * & |
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111 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
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112 | - ( u(k,j,i) - gu ) * & |
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113 | ( sk(k,j,i-1) - sk(k,j,i) ) & |
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114 | ) * ddx & |
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115 | -0.5_wp * ( ( v(k,j+1,i) - gv ) * & |
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116 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
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117 | - ( v(k,j,i) - gv ) * & |
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118 | ( sk(k,j-1,i) - sk(k,j,i) ) & |
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119 | ) * ddy & |
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120 | - ( w(k,j,i) * & |
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121 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
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122 | - w(k-1,j,i) * & |
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123 | ( sk(k-1,j,i) - sk(k,j,i) ) & |
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124 | ) * dd2zu(k) & |
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125 | ) |
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126 | ENDDO |
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127 | ENDDO |
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128 | ENDDO |
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129 | |
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130 | END SUBROUTINE advec_s_pw |
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131 | |
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132 | |
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133 | !--------------------------------------------------------------------------------------------------! |
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134 | ! Description: |
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135 | ! ------------ |
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136 | !> Call for grid point i,j |
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137 | !--------------------------------------------------------------------------------------------------! |
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138 | SUBROUTINE advec_s_pw_ij( i, j, sk ) |
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139 | |
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140 | USE arrays_3d, & |
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141 | ONLY: dd2zu, tend, u, u_stokes_zu, v, v_stokes_zu, w |
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142 | |
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143 | USE control_parameters, & |
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144 | ONLY: u_gtrans, v_gtrans |
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145 | |
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146 | USE grid_variables, & |
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147 | ONLY: ddx, ddy |
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148 | |
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149 | USE indices, & |
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150 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt |
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151 | |
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152 | USE kinds |
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153 | |
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154 | |
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155 | IMPLICIT NONE |
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156 | |
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157 | INTEGER(iwp) :: i !< grid index along x-direction |
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158 | INTEGER(iwp) :: j !< grid index along y-direction |
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159 | INTEGER(iwp) :: k !< grid index along z-direction |
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160 | |
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161 | REAL(wp) :: gu !< local additional advective velocity |
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162 | REAL(wp) :: gv !< local additional advective velocity |
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163 | |
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164 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk |
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165 | |
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166 | |
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167 | DO k = nzb+1, nzt |
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168 | |
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169 | ! |
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170 | !-- Galilean transformation + Stokes drift velocity (ocean only) |
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171 | gu = u_gtrans - u_stokes_zu(k) |
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172 | gv = v_gtrans - v_stokes_zu(k) |
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173 | |
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174 | tend(k,j,i) = tend(k,j,i) + & |
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175 | ( -0.5_wp * ( ( u(k,j,i+1) - gu ) * & |
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176 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
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177 | - ( u(k,j,i) - gu ) * & |
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178 | ( sk(k,j,i-1) - sk(k,j,i) ) & |
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179 | ) * ddx & |
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180 | -0.5_wp * ( ( v(k,j+1,i) - gv ) * & |
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181 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
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182 | - ( v(k,j,i) - gv ) * & |
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183 | ( sk(k,j-1,i) - sk(k,j,i) ) & |
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184 | ) * ddy & |
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185 | - ( w(k,j,i) * & |
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186 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
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187 | - w(k-1,j,i) * & |
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188 | ( sk(k-1,j,i) - sk(k,j,i) ) & |
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189 | ) * dd2zu(k) & |
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190 | ) |
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191 | ENDDO |
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192 | |
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193 | END SUBROUTINE advec_s_pw_ij |
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194 | |
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195 | END MODULE advec_s_pw_mod |
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