1 | !> @file diffusion_s.f90 |
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2 | !------------------------------------------------------------------------------! |
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3 | ! This file is part of PALM. |
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4 | ! |
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5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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6 | ! terms of the GNU General Public License as published by the Free Software |
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7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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8 | ! version. |
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9 | ! |
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10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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13 | ! |
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14 | ! You should have received a copy of the GNU General Public License along with |
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15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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16 | ! |
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17 | ! Copyright 1997-2016 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 2001 2016-08-20 18:41:22Z suehring $ |
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27 | ! |
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28 | ! 2000 2016-08-20 18:09:15Z knoop |
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29 | ! Forced header and separation lines into 80 columns |
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30 | ! |
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31 | ! 1873 2016-04-18 14:50:06Z maronga |
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32 | ! Module renamed (removed _mod) |
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33 | ! |
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34 | ! |
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35 | ! 1850 2016-04-08 13:29:27Z maronga |
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36 | ! Module renamed |
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37 | ! |
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38 | ! |
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39 | ! 1691 2015-10-26 16:17:44Z maronga |
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40 | ! Formatting corrections. |
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41 | ! |
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42 | ! 1682 2015-10-07 23:56:08Z knoop |
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43 | ! Code annotations made doxygen readable |
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44 | ! |
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45 | ! 1374 2014-04-25 12:55:07Z raasch |
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46 | ! missing variables added to ONLY list |
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47 | ! |
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48 | ! 1340 2014-03-25 19:45:13Z kanani |
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49 | ! REAL constants defined as wp-kind |
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50 | ! |
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51 | ! 1320 2014-03-20 08:40:49Z raasch |
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52 | ! ONLY-attribute added to USE-statements, |
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53 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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54 | ! kinds are defined in new module kinds, |
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55 | ! revision history before 2012 removed, |
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56 | ! comment fields (!:) to be used for variable explanations added to |
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57 | ! all variable declaration statements |
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58 | ! |
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59 | ! 1257 2013-11-08 15:18:40Z raasch |
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60 | ! openacc loop and loop vector clauses removed |
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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 | ! 1092 2013-02-02 11:24:22Z raasch |
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67 | ! unused variables removed |
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68 | ! |
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69 | ! 1036 2012-10-22 13:43:42Z raasch |
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70 | ! code put under GPL (PALM 3.9) |
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71 | ! |
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72 | ! 1015 2012-09-27 09:23:24Z raasch |
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73 | ! accelerator version (*_acc) added |
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74 | ! |
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75 | ! 1010 2012-09-20 07:59:54Z raasch |
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76 | ! cpp switch __nopointer added for pointer free version |
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77 | ! |
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78 | ! 1001 2012-09-13 14:08:46Z raasch |
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79 | ! some arrays comunicated by module instead of parameter list |
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80 | ! |
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81 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
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82 | ! Initial revision |
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83 | ! |
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84 | ! |
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85 | ! Description: |
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86 | ! ------------ |
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87 | !> Diffusion term of scalar quantities (temperature and water content) |
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88 | !------------------------------------------------------------------------------! |
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89 | MODULE diffusion_s_mod |
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90 | |
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91 | |
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92 | PRIVATE |
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93 | PUBLIC diffusion_s, diffusion_s_acc |
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94 | |
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95 | INTERFACE diffusion_s |
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96 | MODULE PROCEDURE diffusion_s |
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97 | MODULE PROCEDURE diffusion_s_ij |
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98 | END INTERFACE diffusion_s |
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99 | |
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100 | INTERFACE diffusion_s_acc |
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101 | MODULE PROCEDURE diffusion_s_acc |
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102 | END INTERFACE diffusion_s_acc |
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103 | |
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104 | CONTAINS |
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105 | |
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106 | |
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107 | !------------------------------------------------------------------------------! |
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108 | ! Description: |
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109 | ! ------------ |
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110 | !> Call for all grid points |
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111 | !------------------------------------------------------------------------------! |
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112 | SUBROUTINE diffusion_s( s, s_flux_b, s_flux_t, wall_s_flux ) |
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113 | |
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114 | USE arrays_3d, & |
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115 | ONLY: ddzu, ddzw, kh, tend |
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116 | |
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117 | USE control_parameters, & |
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118 | ONLY: use_surface_fluxes, use_top_fluxes |
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119 | |
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120 | USE grid_variables, & |
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121 | ONLY: ddx2, ddy2, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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122 | |
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123 | USE indices, & |
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124 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, & |
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125 | nzb_diff_s_inner, nzb_s_inner, nzb_s_outer, nzt, nzt_diff |
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126 | |
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127 | USE kinds |
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128 | |
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129 | IMPLICIT NONE |
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130 | |
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131 | INTEGER(iwp) :: i !< |
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132 | INTEGER(iwp) :: j !< |
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133 | INTEGER(iwp) :: k !< |
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134 | REAL(wp) :: wall_s_flux(0:4) !< |
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135 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_b, s_flux_t !< |
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136 | #if defined( __nopointer ) |
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137 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !< |
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138 | #else |
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139 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !< |
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140 | #endif |
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141 | |
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142 | DO i = nxl, nxr |
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143 | DO j = nys,nyn |
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144 | ! |
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145 | !-- Compute horizontal diffusion |
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146 | DO k = nzb_s_outer(j,i)+1, nzt |
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147 | |
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148 | tend(k,j,i) = tend(k,j,i) & |
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149 | + 0.5_wp * ( & |
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150 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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151 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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152 | ) * ddx2 & |
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153 | + 0.5_wp * ( & |
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154 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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155 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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156 | ) * ddy2 |
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157 | ENDDO |
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158 | |
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159 | ! |
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160 | !-- Apply prescribed horizontal wall heatflux where necessary |
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161 | IF ( ( wall_w_x(j,i) /= 0.0_wp ) .OR. ( wall_w_y(j,i) /= 0.0_wp ) & |
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162 | ) THEN |
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163 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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164 | |
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165 | tend(k,j,i) = tend(k,j,i) & |
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166 | + ( fwxp(j,i) * 0.5_wp * & |
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167 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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168 | + ( 1.0_wp - fwxp(j,i) ) * wall_s_flux(1) & |
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169 | -fwxm(j,i) * 0.5_wp * & |
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170 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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171 | + ( 1.0_wp - fwxm(j,i) ) * wall_s_flux(2) & |
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172 | ) * ddx2 & |
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173 | + ( fwyp(j,i) * 0.5_wp * & |
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174 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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175 | + ( 1.0_wp - fwyp(j,i) ) * wall_s_flux(3) & |
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176 | -fwym(j,i) * 0.5_wp * & |
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177 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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178 | + ( 1.0_wp - fwym(j,i) ) * wall_s_flux(4) & |
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179 | ) * ddy2 |
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180 | ENDDO |
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181 | ENDIF |
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182 | |
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183 | ! |
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184 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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185 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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186 | !-- nzb+2 or nzt-1, respectively. |
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187 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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188 | |
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189 | tend(k,j,i) = tend(k,j,i) & |
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190 | + 0.5_wp * ( & |
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191 | ( 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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192 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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193 | ) * ddzw(k) |
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194 | ENDDO |
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195 | |
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196 | ! |
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197 | !-- Vertical diffusion at the first computational gridpoint along |
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198 | !-- z-direction |
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199 | IF ( use_surface_fluxes ) THEN |
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200 | |
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201 | k = nzb_s_inner(j,i)+1 |
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202 | |
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203 | tend(k,j,i) = tend(k,j,i) & |
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204 | + ( 0.5_wp * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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205 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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206 | * ddzu(k+1) & |
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207 | + s_flux_b(j,i) & |
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208 | ) * ddzw(k) |
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209 | |
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210 | ENDIF |
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211 | |
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212 | ! |
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213 | !-- Vertical diffusion at the last computational gridpoint along |
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214 | !-- z-direction |
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215 | IF ( use_top_fluxes ) THEN |
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216 | |
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217 | k = nzt |
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218 | |
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219 | tend(k,j,i) = tend(k,j,i) & |
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220 | + ( - s_flux_t(j,i) & |
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221 | - 0.5_wp * ( kh(k-1,j,i)+kh(k,j,i) )& |
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222 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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223 | * ddzu(k) & |
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224 | ) * ddzw(k) |
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225 | |
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226 | ENDIF |
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227 | |
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228 | ENDDO |
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229 | ENDDO |
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230 | |
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231 | END SUBROUTINE diffusion_s |
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232 | |
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233 | |
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234 | !------------------------------------------------------------------------------! |
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235 | ! Description: |
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236 | ! ------------ |
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237 | !> Call for all grid points - accelerator version |
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238 | !------------------------------------------------------------------------------! |
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239 | SUBROUTINE diffusion_s_acc( s, s_flux_b, s_flux_t, wall_s_flux ) |
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240 | |
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241 | USE arrays_3d, & |
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242 | ONLY: ddzu, ddzw, kh, tend |
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243 | |
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244 | USE control_parameters, & |
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245 | ONLY: use_surface_fluxes, use_top_fluxes |
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246 | |
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247 | USE grid_variables, & |
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248 | ONLY: ddx2, ddy2, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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249 | |
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250 | USE indices, & |
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251 | ONLY: i_left, i_right, j_north, j_south, nxlg, nxrg, nyng, nysg, & |
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252 | nzb, nzb_diff_s_inner, nzb_s_inner, nzb_s_outer, nzt, nzt_diff |
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253 | |
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254 | USE kinds |
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255 | |
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256 | IMPLICIT NONE |
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257 | |
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258 | INTEGER(iwp) :: i !< |
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259 | INTEGER(iwp) :: j !< |
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260 | INTEGER(iwp) :: k !< |
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261 | REAL(wp) :: wall_s_flux(0:4) !< |
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262 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_b !< |
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263 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_t !< |
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264 | #if defined( __nopointer ) |
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265 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !< |
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266 | #else |
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267 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !< |
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268 | #endif |
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269 | |
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270 | !$acc kernels present( ddzu, ddzw, fwxm, fwxp, fwym, fwyp, kh ) & |
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271 | !$acc present( nzb_diff_s_inner, nzb_s_inner, nzb_s_outer, s ) & |
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272 | !$acc present( s_flux_b, s_flux_t, tend, wall_s_flux ) & |
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273 | !$acc present( wall_w_x, wall_w_y ) |
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274 | DO i = i_left, i_right |
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275 | DO j = j_south, j_north |
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276 | ! |
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277 | !-- Compute horizontal diffusion |
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278 | DO k = 1, nzt |
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279 | IF ( k > nzb_s_outer(j,i) ) THEN |
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280 | |
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281 | tend(k,j,i) = tend(k,j,i) & |
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282 | + 0.5_wp * ( & |
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283 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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284 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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285 | ) * ddx2 & |
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286 | + 0.5_wp * ( & |
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287 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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288 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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289 | ) * ddy2 |
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290 | ENDIF |
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291 | ENDDO |
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292 | |
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293 | ! |
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294 | !-- Apply prescribed horizontal wall heatflux where necessary |
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295 | DO k = 1, nzt |
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296 | IF ( k > nzb_s_inner(j,i) .AND. k <= nzb_s_outer(j,i) .AND. & |
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297 | ( wall_w_x(j,i) /= 0.0_wp .OR. wall_w_y(j,i) /= 0.0_wp ) ) & |
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298 | THEN |
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299 | tend(k,j,i) = tend(k,j,i) & |
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300 | + ( fwxp(j,i) * 0.5_wp * & |
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301 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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302 | + ( 1.0_wp - fwxp(j,i) ) * wall_s_flux(1) & |
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303 | -fwxm(j,i) * 0.5_wp * & |
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304 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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305 | + ( 1.0_wp - fwxm(j,i) ) * wall_s_flux(2) & |
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306 | ) * ddx2 & |
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307 | + ( fwyp(j,i) * 0.5_wp * & |
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308 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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309 | + ( 1.0_wp - fwyp(j,i) ) * wall_s_flux(3) & |
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310 | -fwym(j,i) * 0.5_wp * & |
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311 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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312 | + ( 1.0_wp - fwym(j,i) ) * wall_s_flux(4) & |
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313 | ) * ddy2 |
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314 | ENDIF |
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315 | ENDDO |
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316 | |
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317 | ! |
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318 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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319 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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320 | !-- nzb+2 or nzt-1, respectively. |
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321 | DO k = 1, nzt_diff |
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322 | IF ( k >= nzb_diff_s_inner(j,i) ) THEN |
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323 | tend(k,j,i) = tend(k,j,i) & |
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324 | + 0.5_wp * ( & |
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325 | ( 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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326 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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327 | ) * ddzw(k) |
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328 | ENDIF |
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329 | ENDDO |
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330 | |
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331 | ! |
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332 | !-- Vertical diffusion at the first computational gridpoint along |
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333 | !-- z-direction |
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334 | DO k = 1, nzt |
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335 | IF ( use_surface_fluxes .AND. k == nzb_s_inner(j,i)+1 ) THEN |
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336 | tend(k,j,i) = tend(k,j,i) & |
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337 | + ( 0.5_wp * ( kh(k,j,i)+kh(k+1,j,i) )& |
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338 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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339 | * ddzu(k+1) & |
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340 | + s_flux_b(j,i) & |
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341 | ) * ddzw(k) |
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342 | ENDIF |
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343 | |
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344 | ! |
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345 | !-- Vertical diffusion at the last computational gridpoint along |
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346 | !-- z-direction |
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347 | IF ( use_top_fluxes .AND. k == nzt ) THEN |
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348 | tend(k,j,i) = tend(k,j,i) & |
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349 | + ( - s_flux_t(j,i) & |
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350 | - 0.5_wp * ( kh(k-1,j,i)+kh(k,j,i) )& |
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351 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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352 | * ddzu(k) & |
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353 | ) * ddzw(k) |
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354 | ENDIF |
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355 | ENDDO |
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356 | |
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357 | ENDDO |
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358 | ENDDO |
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359 | !$acc end kernels |
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360 | |
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361 | END SUBROUTINE diffusion_s_acc |
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362 | |
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363 | |
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364 | !------------------------------------------------------------------------------! |
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365 | ! Description: |
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366 | ! ------------ |
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367 | !> Call for grid point i,j |
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368 | !------------------------------------------------------------------------------! |
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369 | SUBROUTINE diffusion_s_ij( i, j, s, s_flux_b, s_flux_t, wall_s_flux ) |
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370 | |
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371 | USE arrays_3d, & |
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372 | ONLY: ddzu, ddzw, kh, tend |
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373 | |
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374 | USE control_parameters, & |
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375 | ONLY: use_surface_fluxes, use_top_fluxes |
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376 | |
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377 | USE grid_variables, & |
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378 | ONLY: ddx2, ddy2, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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379 | |
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380 | USE indices, & |
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381 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzb_diff_s_inner, nzb_s_inner, & |
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382 | nzb_s_outer, nzt, nzt_diff |
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383 | |
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384 | USE kinds |
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385 | |
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386 | IMPLICIT NONE |
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387 | |
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388 | INTEGER(iwp) :: i !< |
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389 | INTEGER(iwp) :: j !< |
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390 | INTEGER(iwp) :: k !< |
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391 | REAL(wp) :: wall_s_flux(0:4) !< |
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392 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_b !< |
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393 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_t !< |
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394 | #if defined( __nopointer ) |
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395 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !< |
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396 | #else |
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397 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !< |
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398 | #endif |
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399 | |
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400 | ! |
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401 | !-- Compute horizontal diffusion |
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402 | DO k = nzb_s_outer(j,i)+1, nzt |
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403 | |
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404 | tend(k,j,i) = tend(k,j,i) & |
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405 | + 0.5_wp * ( & |
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406 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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407 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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408 | ) * ddx2 & |
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409 | + 0.5_wp * ( & |
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410 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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411 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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412 | ) * ddy2 |
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413 | ENDDO |
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414 | |
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415 | ! |
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416 | !-- Apply prescribed horizontal wall heatflux where necessary |
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417 | IF ( ( wall_w_x(j,i) /= 0.0_wp ) .OR. ( wall_w_y(j,i) /= 0.0_wp ) ) & |
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418 | THEN |
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419 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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420 | |
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421 | tend(k,j,i) = tend(k,j,i) & |
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422 | + ( fwxp(j,i) * 0.5_wp * & |
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423 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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424 | + ( 1.0_wp - fwxp(j,i) ) * wall_s_flux(1) & |
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425 | -fwxm(j,i) * 0.5_wp * & |
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426 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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427 | + ( 1.0_wp - fwxm(j,i) ) * wall_s_flux(2) & |
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428 | ) * ddx2 & |
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429 | + ( fwyp(j,i) * 0.5_wp * & |
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430 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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431 | + ( 1.0_wp - fwyp(j,i) ) * wall_s_flux(3) & |
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432 | -fwym(j,i) * 0.5_wp * & |
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433 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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434 | + ( 1.0_wp - fwym(j,i) ) * wall_s_flux(4) & |
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435 | ) * ddy2 |
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436 | ENDDO |
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437 | ENDIF |
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438 | |
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439 | ! |
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440 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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441 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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442 | !-- nzb+2 or nzt-1, respectively. |
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443 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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444 | |
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445 | tend(k,j,i) = tend(k,j,i) & |
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446 | + 0.5_wp * ( & |
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447 | ( 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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448 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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449 | ) * ddzw(k) |
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450 | ENDDO |
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451 | |
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452 | ! |
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453 | !-- Vertical diffusion at the first computational gridpoint along z-direction |
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454 | IF ( use_surface_fluxes ) THEN |
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455 | |
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456 | k = nzb_s_inner(j,i)+1 |
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457 | |
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458 | tend(k,j,i) = tend(k,j,i) + ( 0.5_wp * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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459 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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460 | * ddzu(k+1) & |
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461 | + s_flux_b(j,i) & |
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462 | ) * ddzw(k) |
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463 | |
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464 | ENDIF |
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465 | |
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466 | ! |
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467 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
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468 | IF ( use_top_fluxes ) THEN |
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469 | |
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470 | k = nzt |
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471 | |
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472 | tend(k,j,i) = tend(k,j,i) + ( - s_flux_t(j,i) & |
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473 | - 0.5_wp * ( kh(k-1,j,i)+kh(k,j,i) ) & |
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474 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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475 | * ddzu(k) & |
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476 | ) * ddzw(k) |
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477 | |
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478 | ENDIF |
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479 | |
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480 | END SUBROUTINE diffusion_s_ij |
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481 | |
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482 | END MODULE diffusion_s_mod |
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