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 terms |
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6 | ! of the GNU General Public License as published by the Free Software Foundation, |
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7 | ! either version 3 of the License, or (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 |
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10 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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11 | ! A PARTICULAR PURPOSE. See the GNU General 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 |
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14 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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15 | ! |
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16 | ! Copyright 1997-2016 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: diffusion_w.f90 1874 2016-04-18 14:51:10Z maronga $ |
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26 | ! |
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27 | ! 1873 2016-04-18 14:50:06Z maronga |
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28 | ! Module renamed (removed _mod) |
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29 | ! |
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30 | ! |
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31 | ! 1850 2016-04-08 13:29:27Z maronga |
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32 | ! Module renamed |
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33 | ! |
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34 | ! |
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35 | ! 1682 2015-10-07 23:56:08Z knoop |
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36 | ! Code annotations made doxygen readable |
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37 | ! |
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38 | ! 1374 2014-04-25 12:55:07Z raasch |
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39 | ! vsws + vswst removed from acc-present-list |
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40 | ! |
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41 | ! 1353 2014-04-08 15:21:23Z heinze |
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42 | ! REAL constants provided with KIND-attribute |
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43 | ! |
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44 | ! 1340 2014-03-25 19:45:13Z kanani |
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45 | ! REAL constants defined as wp-kind |
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46 | ! |
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47 | ! 1322 2014-03-20 16:38:49Z raasch |
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48 | ! REAL constants defined as wp-kind |
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49 | ! |
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50 | ! 1320 2014-03-20 08:40:49Z raasch |
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51 | ! ONLY-attribute added to USE-statements, |
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52 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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53 | ! kinds are defined in new module kinds, |
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54 | ! revision history before 2012 removed, |
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55 | ! comment fields (!:) to be used for variable explanations added to |
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56 | ! all variable declaration statements |
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57 | ! |
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58 | ! 1257 2013-11-08 15:18:40Z raasch |
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59 | ! openacc loop and loop vector clauses removed, declare create moved after |
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60 | ! the FORTRAN declaration statement |
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61 | ! |
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62 | ! 1128 2013-04-12 06:19:32Z raasch |
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63 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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64 | ! j_north |
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65 | ! |
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66 | ! 1036 2012-10-22 13:43:42Z raasch |
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67 | ! code put under GPL (PALM 3.9) |
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68 | ! |
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69 | ! 1015 2012-09-27 09:23:24Z raasch |
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70 | ! accelerator version (*_acc) added |
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71 | ! |
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72 | ! 1001 2012-09-13 14:08:46Z raasch |
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73 | ! arrays comunicated by module instead of parameter list |
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74 | ! |
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75 | ! 978 2012-08-09 08:28:32Z fricke |
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76 | ! outflow damping layer removed |
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77 | ! kmxm_x/_z and kmxp_x/_z change to kmxm and kmxp |
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78 | ! kmym_y/_z and kmyp_y/_z change to kmym and kmyp |
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79 | ! |
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80 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
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81 | ! Initial revision |
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82 | ! |
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83 | ! |
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84 | ! Description: |
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85 | ! ------------ |
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86 | !> Diffusion term of the w-component |
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87 | !------------------------------------------------------------------------------! |
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88 | MODULE diffusion_w_mod |
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89 | |
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90 | |
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91 | USE wall_fluxes_mod, & |
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92 | ONLY : wall_fluxes, wall_fluxes_acc |
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93 | |
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94 | PRIVATE |
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95 | PUBLIC diffusion_w, diffusion_w_acc |
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96 | |
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97 | INTERFACE diffusion_w |
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98 | MODULE PROCEDURE diffusion_w |
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99 | MODULE PROCEDURE diffusion_w_ij |
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100 | END INTERFACE diffusion_w |
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101 | |
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102 | INTERFACE diffusion_w_acc |
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103 | MODULE PROCEDURE diffusion_w_acc |
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104 | END INTERFACE diffusion_w_acc |
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105 | |
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106 | CONTAINS |
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107 | |
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108 | |
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109 | !------------------------------------------------------------------------------! |
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110 | ! Description: |
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111 | ! ------------ |
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112 | !> Call for all grid points |
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113 | !------------------------------------------------------------------------------! |
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114 | SUBROUTINE diffusion_w |
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115 | |
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116 | USE arrays_3d, & |
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117 | ONLY : ddzu, ddzw, km, tend, u, v, w |
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118 | |
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119 | USE control_parameters, & |
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120 | ONLY : topography |
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121 | |
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122 | USE grid_variables, & |
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123 | ONLY : ddx, ddy, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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124 | |
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125 | USE indices, & |
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126 | ONLY : nxl, nxr, nyn, nys, nzb, nzb_w_inner, nzb_w_outer, nzt |
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127 | |
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128 | USE kinds |
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129 | |
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130 | IMPLICIT NONE |
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131 | |
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132 | INTEGER(iwp) :: i !< |
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133 | INTEGER(iwp) :: j !< |
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134 | INTEGER(iwp) :: k !< |
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135 | |
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136 | REAL(wp) :: kmxm !< |
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137 | REAL(wp) :: kmxp !< |
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138 | REAL(wp) :: kmym !< |
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139 | REAL(wp) :: kmyp !< |
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140 | |
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141 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus !< |
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142 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsvs !< |
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143 | |
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144 | |
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145 | ! |
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146 | !-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical |
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147 | !-- walls, if neccessary |
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148 | IF ( topography /= 'flat' ) THEN |
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149 | CALL wall_fluxes( wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, nzb_w_inner, & |
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150 | nzb_w_outer, wall_w_x ) |
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151 | CALL wall_fluxes( wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp, nzb_w_inner, & |
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152 | nzb_w_outer, wall_w_y ) |
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153 | ENDIF |
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154 | |
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155 | DO i = nxl, nxr |
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156 | DO j = nys, nyn |
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157 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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158 | ! |
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159 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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160 | kmxp = 0.25_wp * & |
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161 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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162 | kmxm = 0.25_wp * & |
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163 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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164 | kmyp = 0.25_wp * & |
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165 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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166 | kmym = 0.25_wp * & |
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167 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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168 | |
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169 | tend(k,j,i) = tend(k,j,i) & |
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170 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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171 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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172 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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173 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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174 | & ) * ddx & |
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175 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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176 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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177 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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178 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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179 | & ) * ddy & |
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180 | & + 2.0_wp * ( & |
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181 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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182 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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183 | & ) * ddzu(k+1) |
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184 | ENDDO |
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185 | |
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186 | ! |
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187 | !-- Wall functions at all vertical walls, where necessary |
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188 | IF ( wall_w_x(j,i) /= 0.0_wp .OR. wall_w_y(j,i) /= 0.0_wp ) THEN |
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189 | |
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190 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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191 | ! |
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192 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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193 | kmxp = 0.25_wp * & |
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194 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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195 | kmxm = 0.25_wp * & |
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196 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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197 | kmyp = 0.25_wp * & |
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198 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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199 | kmym = 0.25_wp * & |
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200 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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201 | |
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202 | tend(k,j,i) = tend(k,j,i) & |
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203 | + ( fwxp(j,i) * ( & |
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204 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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205 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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206 | ) & |
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207 | - fwxm(j,i) * ( & |
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208 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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209 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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210 | ) & |
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211 | + wall_w_x(j,i) * wsus(k,j,i) & |
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212 | ) * ddx & |
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213 | + ( fwyp(j,i) * ( & |
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214 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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215 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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216 | ) & |
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217 | - fwym(j,i) * ( & |
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218 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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219 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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220 | ) & |
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221 | + wall_w_y(j,i) * wsvs(k,j,i) & |
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222 | ) * ddy & |
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223 | + 2.0_wp * ( & |
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224 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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225 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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226 | ) * ddzu(k+1) |
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227 | ENDDO |
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228 | ENDIF |
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229 | |
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230 | ENDDO |
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231 | ENDDO |
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232 | |
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233 | END SUBROUTINE diffusion_w |
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234 | |
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235 | |
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236 | !------------------------------------------------------------------------------! |
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237 | ! Description: |
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238 | ! ------------ |
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239 | !> Call for all grid points - accelerator version |
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240 | !------------------------------------------------------------------------------! |
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241 | SUBROUTINE diffusion_w_acc |
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242 | |
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243 | USE arrays_3d, & |
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244 | ONLY : ddzu, ddzw, km, tend, u, v, w |
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245 | |
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246 | USE control_parameters, & |
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247 | ONLY : topography |
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248 | |
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249 | USE grid_variables, & |
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250 | ONLY : ddx, ddy, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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251 | |
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252 | USE indices, & |
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253 | ONLY : i_left, i_right, j_north, j_south, nxl, nxr, nyn, nys, nzb, & |
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254 | nzb_w_inner, nzb_w_outer, nzt |
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255 | |
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256 | USE kinds |
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257 | |
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258 | IMPLICIT NONE |
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259 | |
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260 | INTEGER(iwp) :: i !< |
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261 | INTEGER(iwp) :: j !< |
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262 | INTEGER(iwp) :: k !< |
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263 | |
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264 | REAL(wp) :: kmxm !< |
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265 | REAL(wp) :: kmxp !< |
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266 | REAL(wp) :: kmym !< |
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267 | REAL(wp) :: kmyp !< |
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268 | |
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269 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus !< |
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270 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsvs !< |
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271 | !$acc declare create ( wsus, wsvs ) |
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272 | |
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273 | ! |
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274 | !-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical |
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275 | !-- walls, if neccessary |
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276 | IF ( topography /= 'flat' ) THEN |
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277 | CALL wall_fluxes_acc( wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, & |
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278 | nzb_w_inner, nzb_w_outer, wall_w_x ) |
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279 | CALL wall_fluxes_acc( wsvs, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, & |
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280 | nzb_w_inner, nzb_w_outer, wall_w_y ) |
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281 | ENDIF |
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282 | |
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283 | !$acc kernels present ( u, v, w, km, tend ) & |
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284 | !$acc present ( ddzu, ddzw, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y ) & |
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285 | !$acc present ( nzb_w_inner, nzb_w_outer ) |
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286 | DO i = i_left, i_right |
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287 | DO j = j_south, j_north |
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288 | DO k = 1, nzt |
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289 | IF ( k > nzb_w_outer(j,i) ) THEN |
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290 | ! |
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291 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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292 | kmxp = 0.25_wp * & |
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293 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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294 | kmxm = 0.25_wp * & |
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295 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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296 | kmyp = 0.25_wp * & |
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297 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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298 | kmym = 0.25_wp * & |
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299 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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300 | |
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301 | tend(k,j,i) = tend(k,j,i) & |
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302 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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303 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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304 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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305 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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306 | & ) * ddx & |
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307 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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308 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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309 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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310 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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311 | & ) * ddy & |
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312 | & + 2.0_wp * ( & |
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313 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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314 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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315 | & ) * ddzu(k+1) |
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316 | ENDIF |
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317 | ENDDO |
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318 | |
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319 | ! |
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320 | !-- Wall functions at all vertical walls, where necessary |
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321 | DO k = 1,nzt |
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322 | |
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323 | IF ( k > nzb_w_inner(j,i) .AND. k <= nzb_w_outer(j,i) .AND. & |
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324 | wall_w_x(j,i) /= 0.0_wp .AND. wall_w_y(j,i) /= 0.0_wp ) THEN |
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325 | ! |
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326 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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327 | kmxp = 0.25_wp * & |
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328 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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329 | kmxm = 0.25_wp * & |
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330 | ( 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 | kmyp = 0.25_wp * & |
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332 | ( 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 * & |
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334 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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335 | |
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336 | tend(k,j,i) = tend(k,j,i) & |
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337 | + ( fwxp(j,i) * ( & |
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338 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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339 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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340 | ) & |
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341 | - fwxm(j,i) * ( & |
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342 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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343 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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344 | ) & |
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345 | + wall_w_x(j,i) * wsus(k,j,i) & |
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346 | ) * ddx & |
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347 | + ( fwyp(j,i) * ( & |
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348 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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349 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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350 | ) & |
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351 | - fwym(j,i) * ( & |
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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 | ) & |
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355 | + wall_w_y(j,i) * wsvs(k,j,i) & |
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356 | ) * ddy & |
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357 | + 2.0_wp * ( & |
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358 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(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 | ) * ddzu(k+1) |
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361 | ENDIF |
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362 | ENDDO |
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363 | |
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364 | ENDDO |
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365 | ENDDO |
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366 | !$acc end kernels |
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367 | |
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368 | END SUBROUTINE diffusion_w_acc |
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369 | |
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370 | |
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371 | !------------------------------------------------------------------------------! |
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372 | ! Description: |
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373 | ! ------------ |
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374 | !> Call for grid point i,j |
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375 | !------------------------------------------------------------------------------! |
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376 | SUBROUTINE diffusion_w_ij( i, j ) |
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377 | |
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378 | USE arrays_3d, & |
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379 | ONLY : ddzu, ddzw, km, tend, u, v, w |
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380 | |
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381 | USE control_parameters, & |
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382 | ONLY : topography |
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383 | |
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384 | USE grid_variables, & |
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385 | ONLY : ddx, ddy, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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386 | |
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387 | USE indices, & |
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388 | ONLY : nxl, nxr, nyn, nys, nzb, nzb_w_inner, nzb_w_outer, nzt |
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389 | |
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390 | USE kinds |
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391 | |
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392 | IMPLICIT NONE |
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393 | |
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394 | INTEGER(iwp) :: i !< |
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395 | INTEGER(iwp) :: j !< |
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396 | INTEGER(iwp) :: k !< |
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397 | |
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398 | REAL(wp) :: kmxm !< |
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399 | REAL(wp) :: kmxp !< |
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400 | REAL(wp) :: kmym !< |
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401 | REAL(wp) :: kmyp !< |
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402 | |
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403 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsus |
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404 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs |
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405 | |
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406 | |
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407 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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408 | ! |
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409 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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410 | 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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411 | 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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412 | 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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413 | 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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414 | |
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415 | tend(k,j,i) = tend(k,j,i) & |
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416 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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417 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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418 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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419 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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420 | & ) * ddx & |
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421 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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422 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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423 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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424 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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425 | & ) * ddy & |
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426 | & + 2.0_wp * ( & |
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427 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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428 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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429 | & ) * ddzu(k+1) |
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430 | ENDDO |
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431 | |
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432 | ! |
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433 | !-- Wall functions at all vertical walls, where necessary |
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434 | IF ( wall_w_x(j,i) /= 0.0_wp .OR. wall_w_y(j,i) /= 0.0_wp ) THEN |
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435 | |
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436 | ! |
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437 | !-- Calculate the horizontal momentum fluxes w'u' and/or w'v' |
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438 | IF ( wall_w_x(j,i) /= 0.0_wp ) THEN |
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439 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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440 | wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) |
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441 | ELSE |
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442 | wsus = 0.0_wp |
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443 | ENDIF |
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444 | |
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445 | IF ( wall_w_y(j,i) /= 0.0_wp ) THEN |
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446 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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447 | wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) |
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448 | ELSE |
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449 | wsvs = 0.0_wp |
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450 | ENDIF |
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451 | |
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452 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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453 | ! |
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454 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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455 | 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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456 | 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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457 | 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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458 | 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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459 | |
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460 | tend(k,j,i) = tend(k,j,i) & |
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461 | + ( fwxp(j,i) * ( & |
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462 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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463 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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464 | ) & |
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465 | - fwxm(j,i) * ( & |
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466 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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467 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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468 | ) & |
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469 | + wall_w_x(j,i) * wsus(k) & |
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470 | ) * ddx & |
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471 | + ( fwyp(j,i) * ( & |
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472 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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473 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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474 | ) & |
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475 | - fwym(j,i) * ( & |
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476 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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477 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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478 | ) & |
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479 | + wall_w_y(j,i) * wsvs(k) & |
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480 | ) * ddy & |
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481 | + 2.0_wp * ( & |
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482 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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483 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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484 | ) * ddzu(k+1) |
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485 | ENDDO |
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486 | ENDIF |
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487 | |
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488 | END SUBROUTINE diffusion_w_ij |
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489 | |
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490 | END MODULE diffusion_w_mod |
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