1 | MODULE diffusion_s_mod |
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2 | |
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3 | !--------------------------------------------------------------------------------! |
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4 | ! This file is part of PALM. |
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5 | ! |
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6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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8 | ! either version 3 of the License, or (at your option) any later version. |
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9 | ! |
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10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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13 | ! |
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14 | ! You should have received a copy of the GNU General Public License along with |
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15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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16 | ! |
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17 | ! Copyright 1997-2014 Leibniz Universitaet Hannover |
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18 | !--------------------------------------------------------------------------------! |
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19 | ! |
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20 | ! Current revisions: |
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21 | ! ------------------ |
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22 | ! |
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23 | ! |
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24 | ! Former revisions: |
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25 | ! ----------------- |
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26 | ! $Id: diffusion_s.f90 1321 2014-03-20 09:40:40Z raasch $ |
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27 | ! |
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28 | ! 1320 2014-03-20 08:40:49Z raasch |
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29 | ! ONLY-attribute added to USE-statements, |
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30 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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31 | ! kinds are defined in new module kinds, |
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32 | ! revision history before 2012 removed, |
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33 | ! comment fields (!:) to be used for variable explanations added to |
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34 | ! all variable declaration statements |
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35 | ! |
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36 | ! 1257 2013-11-08 15:18:40Z raasch |
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37 | ! openacc loop and loop vector clauses removed |
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38 | ! |
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39 | ! 1128 2013-04-12 06:19:32Z raasch |
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40 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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41 | ! j_north |
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42 | ! |
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43 | ! 1092 2013-02-02 11:24:22Z raasch |
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44 | ! unused variables removed |
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45 | ! |
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46 | ! 1036 2012-10-22 13:43:42Z raasch |
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47 | ! code put under GPL (PALM 3.9) |
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48 | ! |
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49 | ! 1015 2012-09-27 09:23:24Z raasch |
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50 | ! accelerator version (*_acc) added |
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51 | ! |
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52 | ! 1010 2012-09-20 07:59:54Z raasch |
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53 | ! cpp switch __nopointer added for pointer free version |
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54 | ! |
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55 | ! 1001 2012-09-13 14:08:46Z raasch |
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56 | ! some arrays comunicated by module instead of parameter list |
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57 | ! |
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58 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
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59 | ! Initial revision |
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60 | ! |
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61 | ! |
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62 | ! Description: |
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63 | ! ------------ |
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64 | ! Diffusion term of scalar quantities (temperature and water content) |
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65 | !------------------------------------------------------------------------------! |
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66 | |
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67 | PRIVATE |
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68 | PUBLIC diffusion_s, diffusion_s_acc |
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69 | |
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70 | INTERFACE diffusion_s |
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71 | MODULE PROCEDURE diffusion_s |
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72 | MODULE PROCEDURE diffusion_s_ij |
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73 | END INTERFACE diffusion_s |
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74 | |
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75 | INTERFACE diffusion_s_acc |
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76 | MODULE PROCEDURE diffusion_s_acc |
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77 | END INTERFACE diffusion_s_acc |
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78 | |
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79 | CONTAINS |
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80 | |
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81 | |
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82 | !------------------------------------------------------------------------------! |
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83 | ! Call for all grid points |
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84 | !------------------------------------------------------------------------------! |
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85 | SUBROUTINE diffusion_s( s, s_flux_b, s_flux_t, wall_s_flux ) |
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86 | |
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87 | USE arrays_3d, & |
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88 | ONLY: ddzu, ddzw, kh, tend |
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89 | |
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90 | USE control_parameters, & |
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91 | ONLY: use_surface_fluxes, use_top_fluxes |
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92 | |
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93 | USE grid_variables, & |
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94 | ONLY: ddx2, ddy2, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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95 | |
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96 | USE indices, & |
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97 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, & |
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98 | nzb_diff_s_inner, nzb_s_inner, nzb_s_outer, nzt, nzt_diff |
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99 | |
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100 | USE kinds |
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101 | |
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102 | IMPLICIT NONE |
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103 | |
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104 | INTEGER(iwp) :: i !: |
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105 | INTEGER(iwp) :: j !: |
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106 | INTEGER(iwp) :: k !: |
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107 | REAL(wp) :: wall_s_flux(0:4) !: |
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108 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_b, s_flux_t !: |
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109 | #if defined( __nopointer ) |
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110 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !: |
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111 | #else |
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112 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !: |
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113 | #endif |
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114 | |
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115 | DO i = nxl, nxr |
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116 | DO j = nys,nyn |
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117 | ! |
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118 | !-- Compute horizontal diffusion |
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119 | DO k = nzb_s_outer(j,i)+1, nzt |
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120 | |
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121 | tend(k,j,i) = tend(k,j,i) & |
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122 | + 0.5 * ( & |
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123 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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124 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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125 | ) * ddx2 & |
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126 | + 0.5 * ( & |
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127 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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128 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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129 | ) * ddy2 |
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130 | ENDDO |
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131 | |
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132 | ! |
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133 | !-- Apply prescribed horizontal wall heatflux where necessary |
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134 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
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135 | THEN |
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136 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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137 | |
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138 | tend(k,j,i) = tend(k,j,i) & |
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139 | + ( fwxp(j,i) * 0.5 * & |
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140 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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141 | + ( 1.0 - fwxp(j,i) ) * wall_s_flux(1) & |
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142 | -fwxm(j,i) * 0.5 * & |
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143 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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144 | + ( 1.0 - fwxm(j,i) ) * wall_s_flux(2) & |
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145 | ) * ddx2 & |
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146 | + ( fwyp(j,i) * 0.5 * & |
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147 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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148 | + ( 1.0 - fwyp(j,i) ) * wall_s_flux(3) & |
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149 | -fwym(j,i) * 0.5 * & |
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150 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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151 | + ( 1.0 - fwym(j,i) ) * wall_s_flux(4) & |
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152 | ) * ddy2 |
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153 | ENDDO |
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154 | ENDIF |
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155 | |
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156 | ! |
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157 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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158 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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159 | !-- nzb+2 or nzt-1, respectively. |
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160 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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161 | |
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162 | tend(k,j,i) = tend(k,j,i) & |
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163 | + 0.5 * ( & |
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164 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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165 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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166 | ) * ddzw(k) |
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167 | ENDDO |
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168 | |
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169 | ! |
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170 | !-- Vertical diffusion at the first computational gridpoint along |
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171 | !-- z-direction |
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172 | IF ( use_surface_fluxes ) THEN |
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173 | |
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174 | k = nzb_s_inner(j,i)+1 |
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175 | |
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176 | tend(k,j,i) = tend(k,j,i) & |
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177 | + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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178 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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179 | * ddzu(k+1) & |
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180 | + s_flux_b(j,i) & |
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181 | ) * ddzw(k) |
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182 | |
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183 | ENDIF |
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184 | |
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185 | ! |
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186 | !-- Vertical diffusion at the last computational gridpoint along |
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187 | !-- z-direction |
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188 | IF ( use_top_fluxes ) THEN |
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189 | |
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190 | k = nzt |
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191 | |
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192 | tend(k,j,i) = tend(k,j,i) & |
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193 | + ( - s_flux_t(j,i) & |
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194 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) ) & |
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195 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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196 | * ddzu(k) & |
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197 | ) * ddzw(k) |
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198 | |
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199 | ENDIF |
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200 | |
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201 | ENDDO |
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202 | ENDDO |
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203 | |
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204 | END SUBROUTINE diffusion_s |
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205 | |
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206 | |
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207 | !------------------------------------------------------------------------------! |
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208 | ! Call for all grid points - accelerator version |
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209 | !------------------------------------------------------------------------------! |
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210 | SUBROUTINE diffusion_s_acc( s, s_flux_b, s_flux_t, wall_s_flux ) |
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211 | |
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212 | USE arrays_3d, & |
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213 | ONLY: ddzu, ddzw, kh, tend |
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214 | |
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215 | USE control_parameters, & |
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216 | ONLY: use_surface_fluxes, use_top_fluxes |
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217 | |
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218 | USE grid_variables, & |
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219 | ONLY: ddx2, ddy2, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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220 | |
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221 | USE indices, & |
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222 | ONLY: i_left, i_right, j_north, j_south, nxlg, nxrg, nyng, nysg, & |
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223 | nzb_diff_s_inner, nzb_s_inner, nzb_s_outer, nzt, nzt_diff |
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224 | |
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225 | USE kinds |
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226 | |
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227 | IMPLICIT NONE |
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228 | |
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229 | INTEGER(iwp) :: i !: |
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230 | INTEGER(iwp) :: j !: |
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231 | INTEGER(iwp) :: k !: |
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232 | REAL(wp) :: wall_s_flux(0:4) !: |
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233 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_b !: |
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234 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_t !: |
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235 | #if defined( __nopointer ) |
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236 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !: |
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237 | #else |
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238 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !: |
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239 | #endif |
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240 | |
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241 | !$acc kernels present( ddzu, ddzw, fwxm, fwxp, fwym, fwyp, kh ) & |
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242 | !$acc present( nzb_diff_s_inner, nzb_s_inner, nzb_s_outer, s ) & |
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243 | !$acc present( s_flux_b, s_flux_t, tend, wall_s_flux ) & |
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244 | !$acc present( wall_w_x, wall_w_y ) |
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245 | DO i = i_left, i_right |
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246 | DO j = j_south, j_north |
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247 | ! |
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248 | !-- Compute horizontal diffusion |
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249 | DO k = 1, nzt |
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250 | IF ( k > nzb_s_outer(j,i) ) THEN |
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251 | |
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252 | tend(k,j,i) = tend(k,j,i) & |
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253 | + 0.5 * ( & |
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254 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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255 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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256 | ) * ddx2 & |
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257 | + 0.5 * ( & |
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258 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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259 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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260 | ) * ddy2 |
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261 | ENDIF |
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262 | ENDDO |
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263 | |
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264 | ! |
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265 | !-- Apply prescribed horizontal wall heatflux where necessary |
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266 | DO k = 1, nzt |
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267 | IF ( k > nzb_s_inner(j,i) .AND. k <= nzb_s_outer(j,i) .AND. & |
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268 | ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) ) & |
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269 | THEN |
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270 | tend(k,j,i) = tend(k,j,i) & |
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271 | + ( fwxp(j,i) * 0.5 * & |
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272 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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273 | + ( 1.0 - fwxp(j,i) ) * wall_s_flux(1) & |
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274 | -fwxm(j,i) * 0.5 * & |
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275 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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276 | + ( 1.0 - fwxm(j,i) ) * wall_s_flux(2) & |
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277 | ) * ddx2 & |
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278 | + ( fwyp(j,i) * 0.5 * & |
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279 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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280 | + ( 1.0 - fwyp(j,i) ) * wall_s_flux(3) & |
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281 | -fwym(j,i) * 0.5 * & |
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282 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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283 | + ( 1.0 - fwym(j,i) ) * wall_s_flux(4) & |
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284 | ) * ddy2 |
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285 | ENDIF |
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286 | ENDDO |
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287 | |
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288 | ! |
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289 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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290 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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291 | !-- nzb+2 or nzt-1, respectively. |
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292 | DO k = 1, nzt_diff |
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293 | IF ( k >= nzb_diff_s_inner(j,i) ) THEN |
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294 | tend(k,j,i) = tend(k,j,i) & |
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295 | + 0.5 * ( & |
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296 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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297 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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298 | ) * ddzw(k) |
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299 | ENDIF |
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300 | ENDDO |
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301 | |
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302 | ! |
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303 | !-- Vertical diffusion at the first computational gridpoint along |
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304 | !-- z-direction |
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305 | DO k = 1, nzt |
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306 | IF ( use_surface_fluxes .AND. k == nzb_s_inner(j,i)+1 ) THEN |
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307 | tend(k,j,i) = tend(k,j,i) & |
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308 | + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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309 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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310 | * ddzu(k+1) & |
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311 | + s_flux_b(j,i) & |
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312 | ) * ddzw(k) |
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313 | ENDIF |
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314 | |
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315 | ! |
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316 | !-- Vertical diffusion at the last computational gridpoint along |
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317 | !-- z-direction |
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318 | IF ( use_top_fluxes .AND. k == nzt ) THEN |
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319 | tend(k,j,i) = tend(k,j,i) & |
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320 | + ( - s_flux_t(j,i) & |
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321 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) )& |
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322 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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323 | * ddzu(k) & |
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324 | ) * ddzw(k) |
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325 | ENDIF |
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326 | ENDDO |
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327 | |
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328 | ENDDO |
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329 | ENDDO |
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330 | !$acc end kernels |
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331 | |
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332 | END SUBROUTINE diffusion_s_acc |
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333 | |
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334 | |
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335 | !------------------------------------------------------------------------------! |
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336 | ! Call for grid point i,j |
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337 | !------------------------------------------------------------------------------! |
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338 | SUBROUTINE diffusion_s_ij( i, j, s, s_flux_b, s_flux_t, wall_s_flux ) |
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339 | |
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340 | USE arrays_3d, & |
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341 | ONLY: ddzu, ddzw, kh, tend |
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342 | |
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343 | USE control_parameters, & |
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344 | ONLY: use_surface_fluxes, use_top_fluxes |
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345 | |
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346 | USE grid_variables, & |
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347 | ONLY: ddx2, ddy2, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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348 | |
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349 | USE indices, & |
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350 | ONLY: nxlg, nxrg, nyng, nysg, nzb_diff_s_inner, nzb_s_inner, & |
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351 | nzb_s_outer, nzt, nzt_diff |
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352 | |
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353 | USE kinds |
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354 | |
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355 | IMPLICIT NONE |
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356 | |
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357 | INTEGER(iwp) :: i !: |
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358 | INTEGER(iwp) :: j !: |
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359 | INTEGER(iwp) :: k !: |
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360 | REAL(wp) :: wall_s_flux(0:4) !: |
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361 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_b !: |
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362 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_t !: |
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363 | #if defined( __nopointer ) |
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364 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !: |
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365 | #else |
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366 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !: |
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367 | #endif |
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368 | |
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369 | ! |
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370 | !-- Compute horizontal diffusion |
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371 | DO k = nzb_s_outer(j,i)+1, nzt |
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372 | |
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373 | tend(k,j,i) = tend(k,j,i) & |
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374 | + 0.5 * ( & |
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375 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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376 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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377 | ) * ddx2 & |
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378 | + 0.5 * ( & |
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379 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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380 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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381 | ) * ddy2 |
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382 | ENDDO |
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383 | |
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384 | ! |
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385 | !-- Apply prescribed horizontal wall heatflux where necessary |
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386 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
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387 | THEN |
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388 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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389 | |
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390 | tend(k,j,i) = tend(k,j,i) & |
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391 | + ( fwxp(j,i) * 0.5 * & |
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392 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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393 | + ( 1.0 - fwxp(j,i) ) * wall_s_flux(1) & |
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394 | -fwxm(j,i) * 0.5 * & |
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395 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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396 | + ( 1.0 - fwxm(j,i) ) * wall_s_flux(2) & |
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397 | ) * ddx2 & |
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398 | + ( fwyp(j,i) * 0.5 * & |
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399 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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400 | + ( 1.0 - fwyp(j,i) ) * wall_s_flux(3) & |
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401 | -fwym(j,i) * 0.5 * & |
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402 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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403 | + ( 1.0 - fwym(j,i) ) * wall_s_flux(4) & |
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404 | ) * ddy2 |
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405 | ENDDO |
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406 | ENDIF |
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407 | |
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408 | ! |
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409 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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410 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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411 | !-- nzb+2 or nzt-1, respectively. |
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412 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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413 | |
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414 | tend(k,j,i) = tend(k,j,i) & |
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415 | + 0.5 * ( & |
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416 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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417 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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418 | ) * ddzw(k) |
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419 | ENDDO |
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420 | |
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421 | ! |
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422 | !-- Vertical diffusion at the first computational gridpoint along z-direction |
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423 | IF ( use_surface_fluxes ) THEN |
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424 | |
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425 | k = nzb_s_inner(j,i)+1 |
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426 | |
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427 | tend(k,j,i) = tend(k,j,i) + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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428 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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429 | * ddzu(k+1) & |
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430 | + s_flux_b(j,i) & |
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431 | ) * ddzw(k) |
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432 | |
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433 | ENDIF |
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434 | |
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435 | ! |
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436 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
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437 | IF ( use_top_fluxes ) THEN |
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438 | |
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439 | k = nzt |
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440 | |
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441 | tend(k,j,i) = tend(k,j,i) + ( - s_flux_t(j,i) & |
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442 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) ) & |
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443 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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444 | * ddzu(k) & |
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445 | ) * ddzw(k) |
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446 | |
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447 | ENDIF |
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448 | |
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449 | END SUBROUTINE diffusion_s_ij |
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450 | |
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451 | END MODULE diffusion_s_mod |
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