1 | !> @file diffusion_w.f90 |
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2 | !------------------------------------------------------------------------------! |
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3 | ! This file is part of the PALM model system. |
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4 | ! |
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5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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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 1997-2018 Leibniz Universitaet Hannover |
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18 | !------------------------------------------------------------------------------! |
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19 | ! |
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20 | ! Current revisions: |
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21 | ! ----------------- |
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22 | ! |
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23 | ! |
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24 | ! Former revisions: |
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25 | ! ----------------- |
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26 | ! $Id: diffusion_w.f90 2718 2018-01-02 08:49:38Z suehring $ |
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27 | ! Corrected "Former revisions" section |
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28 | ! |
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29 | ! 2696 2017-12-14 17:12:51Z kanani |
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30 | ! Change in file header (GPL part) |
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31 | ! |
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32 | ! 2233 2017-05-30 18:08:54Z suehring |
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33 | ! |
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34 | ! 2232 2017-05-30 17:47:52Z suehring |
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35 | ! Adjustments to new topography and surface concept |
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36 | ! |
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37 | ! 2118 2017-01-17 16:38:49Z raasch |
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38 | ! OpenACC version of subroutine removed |
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39 | ! |
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40 | ! 2037 2016-10-26 11:15:40Z knoop |
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41 | ! Anelastic approximation implemented |
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42 | ! |
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43 | ! 2000 2016-08-20 18:09:15Z knoop |
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44 | ! Forced header and separation lines into 80 columns |
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45 | ! |
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46 | ! 1873 2016-04-18 14:50:06Z maronga |
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47 | ! Module renamed (removed _mod) |
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48 | ! |
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49 | ! 1850 2016-04-08 13:29:27Z maronga |
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50 | ! Module renamed |
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51 | ! |
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52 | ! 1682 2015-10-07 23:56:08Z knoop |
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53 | ! Code annotations made doxygen readable |
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54 | ! |
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55 | ! 1374 2014-04-25 12:55:07Z raasch |
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56 | ! vsws + vswst removed from acc-present-list |
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57 | ! |
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58 | ! 1353 2014-04-08 15:21:23Z heinze |
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59 | ! REAL constants provided with KIND-attribute |
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60 | ! |
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61 | ! 1340 2014-03-25 19:45:13Z kanani |
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62 | ! REAL constants defined as wp-kind |
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63 | ! |
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64 | ! 1322 2014-03-20 16:38:49Z raasch |
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65 | ! REAL constants defined as wp-kind |
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66 | ! |
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67 | ! 1320 2014-03-20 08:40:49Z raasch |
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68 | ! ONLY-attribute added to USE-statements, |
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69 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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70 | ! kinds are defined in new module kinds, |
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71 | ! revision history before 2012 removed, |
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72 | ! comment fields (!:) to be used for variable explanations added to |
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73 | ! all variable declaration statements |
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74 | ! |
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75 | ! 1257 2013-11-08 15:18:40Z raasch |
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76 | ! openacc loop and loop vector clauses removed, declare create moved after |
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77 | ! the FORTRAN declaration statement |
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78 | ! |
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79 | ! 1128 2013-04-12 06:19:32Z raasch |
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80 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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81 | ! j_north |
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82 | ! |
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83 | ! 1036 2012-10-22 13:43:42Z raasch |
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84 | ! code put under GPL (PALM 3.9) |
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85 | ! |
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86 | ! 1015 2012-09-27 09:23:24Z raasch |
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87 | ! accelerator version (*_acc) added |
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88 | ! |
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89 | ! 1001 2012-09-13 14:08:46Z raasch |
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90 | ! arrays comunicated by module instead of parameter list |
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91 | ! |
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92 | ! 978 2012-08-09 08:28:32Z fricke |
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93 | ! outflow damping layer removed |
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94 | ! kmxm_x/_z and kmxp_x/_z change to kmxm and kmxp |
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95 | ! kmym_y/_z and kmyp_y/_z change to kmym and kmyp |
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96 | ! |
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97 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
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98 | ! Initial revision |
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99 | ! |
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100 | ! |
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101 | ! Description: |
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102 | ! ------------ |
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103 | !> Diffusion term of the w-component |
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104 | !------------------------------------------------------------------------------! |
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105 | MODULE diffusion_w_mod |
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106 | |
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107 | |
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108 | PRIVATE |
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109 | PUBLIC diffusion_w |
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110 | |
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111 | INTERFACE diffusion_w |
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112 | MODULE PROCEDURE diffusion_w |
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113 | MODULE PROCEDURE diffusion_w_ij |
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114 | END INTERFACE diffusion_w |
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115 | |
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116 | CONTAINS |
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117 | |
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118 | |
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119 | !------------------------------------------------------------------------------! |
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120 | ! Description: |
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121 | ! ------------ |
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122 | !> Call for all grid points |
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123 | !------------------------------------------------------------------------------! |
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124 | SUBROUTINE diffusion_w |
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125 | |
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126 | USE arrays_3d, & |
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127 | ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air |
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128 | |
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129 | USE control_parameters, & |
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130 | ONLY : topography |
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131 | |
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132 | USE grid_variables, & |
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133 | ONLY : ddx, ddy |
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134 | |
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135 | USE indices, & |
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136 | ONLY : nxl, nxr, nyn, nys, nzb, nzt, wall_flags_0 |
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137 | |
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138 | USE kinds |
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139 | |
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140 | USE surface_mod, & |
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141 | ONLY : surf_def_v, surf_lsm_v, surf_usm_v |
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142 | |
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143 | IMPLICIT NONE |
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144 | |
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145 | INTEGER(iwp) :: i !< running index x direction |
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146 | INTEGER(iwp) :: j !< running index y direction |
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147 | INTEGER(iwp) :: k !< running index z direction |
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148 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
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149 | INTEGER(iwp) :: m !< running index surface elements |
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150 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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151 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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152 | |
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153 | REAL(wp) :: flag !< flag to mask topography grid points |
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154 | REAL(wp) :: kmxm !< |
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155 | REAL(wp) :: kmxp !< |
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156 | REAL(wp) :: kmym !< |
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157 | REAL(wp) :: kmyp !< |
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158 | REAL(wp) :: mask_west !< flag to mask vertical wall west of the grid point |
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159 | REAL(wp) :: mask_east !< flag to mask vertical wall east of the grid point |
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160 | REAL(wp) :: mask_south !< flag to mask vertical wall south of the grid point |
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161 | REAL(wp) :: mask_north !< flag to mask vertical wall north of the grid point |
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162 | |
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163 | |
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164 | |
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165 | DO i = nxl, nxr |
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166 | DO j = nys, nyn |
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167 | DO k = nzb+1, nzt-1 |
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168 | ! |
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169 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
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170 | flag = MERGE( 1.0_wp, 0.0_wp, & |
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171 | BTEST( wall_flags_0(k,j,i), 3 ) ) |
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172 | mask_east = MERGE( 1.0_wp, 0.0_wp, & |
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173 | BTEST( wall_flags_0(k,j,i+1), 3 ) ) |
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174 | mask_west = MERGE( 1.0_wp, 0.0_wp, & |
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175 | BTEST( wall_flags_0(k,j,i-1), 3 ) ) |
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176 | mask_south = MERGE( 1.0_wp, 0.0_wp, & |
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177 | BTEST( wall_flags_0(k,j-1,i), 3 ) ) |
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178 | mask_north = MERGE( 1.0_wp, 0.0_wp, & |
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179 | BTEST( wall_flags_0(k,j+1,i), 3 ) ) |
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180 | ! |
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181 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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182 | kmxp = 0.25_wp * ( km(k,j,i) + km(k,j,i+1) + & |
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183 | km(k+1,j,i) + km(k+1,j,i+1) ) |
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184 | kmxm = 0.25_wp * ( km(k,j,i) + km(k,j,i-1) + & |
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185 | km(k+1,j,i) + km(k+1,j,i-1) ) |
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186 | kmyp = 0.25_wp * ( km(k,j,i) + km(k+1,j,i) + & |
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187 | km(k,j+1,i) + km(k+1,j+1,i) ) |
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188 | kmym = 0.25_wp * ( km(k,j,i) + km(k+1,j,i) + & |
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189 | km(k,j-1,i) + km(k+1,j-1,i) ) |
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190 | |
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191 | tend(k,j,i) = tend(k,j,i) & |
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192 | + ( mask_east * kmxp * ( & |
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193 | ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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194 | + ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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195 | ) & |
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196 | - mask_west * kmxm * ( & |
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197 | ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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198 | + ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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199 | ) & |
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200 | ) * ddx * flag & |
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201 | + ( mask_north * kmyp * ( & |
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202 | ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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203 | + ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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204 | ) & |
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205 | - mask_south * kmym * ( & |
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206 | ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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207 | + ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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208 | ) & |
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209 | ) * ddy * flag & |
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210 | + 2.0_wp * ( & |
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211 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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212 | * rho_air(k+1) & |
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213 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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214 | * rho_air(k) & |
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215 | ) * ddzu(k+1) * drho_air_zw(k) * flag |
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216 | ENDDO |
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217 | |
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218 | ! |
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219 | !-- Add horizontal momentum flux v'w' at north- (l=0) and south-facing (l=1) |
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220 | !-- surfaces. Note, in the the flat case, loops won't be entered as |
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221 | !-- start_index > end_index. Furtermore, note, no vertical natural surfaces |
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222 | !-- so far. |
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223 | !-- Default-type surfaces |
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224 | DO l = 0, 1 |
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225 | surf_s = surf_def_v(l)%start_index(j,i) |
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226 | surf_e = surf_def_v(l)%end_index(j,i) |
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227 | DO m = surf_s, surf_e |
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228 | k = surf_def_v(l)%k(m) |
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229 | tend(k,j,i) = tend(k,j,i) + & |
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230 | surf_def_v(l)%mom_flux_w(m) * ddy |
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231 | ENDDO |
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232 | ENDDO |
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233 | ! |
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234 | !-- Natural-type surfaces |
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235 | DO l = 0, 1 |
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236 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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237 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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238 | DO m = surf_s, surf_e |
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239 | k = surf_lsm_v(l)%k(m) |
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240 | tend(k,j,i) = tend(k,j,i) + & |
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241 | surf_lsm_v(l)%mom_flux_w(m) * ddy |
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242 | ENDDO |
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243 | ENDDO |
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244 | ! |
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245 | !-- Urban-type surfaces |
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246 | DO l = 0, 1 |
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247 | surf_s = surf_usm_v(l)%start_index(j,i) |
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248 | surf_e = surf_usm_v(l)%end_index(j,i) |
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249 | DO m = surf_s, surf_e |
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250 | k = surf_usm_v(l)%k(m) |
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251 | tend(k,j,i) = tend(k,j,i) + & |
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252 | surf_usm_v(l)%mom_flux_w(m) * ddy |
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253 | ENDDO |
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254 | ENDDO |
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255 | ! |
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256 | !-- Add horizontal momentum flux u'w' at east- (l=2) and west-facing (l=3) |
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257 | !-- surface. |
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258 | !-- Default-type surfaces |
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259 | DO l = 2, 3 |
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260 | surf_s = surf_def_v(l)%start_index(j,i) |
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261 | surf_e = surf_def_v(l)%end_index(j,i) |
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262 | DO m = surf_s, surf_e |
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263 | k = surf_def_v(l)%k(m) |
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264 | tend(k,j,i) = tend(k,j,i) + & |
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265 | surf_def_v(l)%mom_flux_w(m) * ddx |
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266 | ENDDO |
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267 | ENDDO |
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268 | ! |
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269 | !-- Natural-type surfaces |
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270 | DO l = 2, 3 |
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271 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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272 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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273 | DO m = surf_s, surf_e |
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274 | k = surf_lsm_v(l)%k(m) |
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275 | tend(k,j,i) = tend(k,j,i) + & |
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276 | surf_lsm_v(l)%mom_flux_w(m) * ddx |
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277 | ENDDO |
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278 | ENDDO |
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279 | ! |
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280 | !-- Urban-type surfaces |
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281 | DO l = 2, 3 |
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282 | surf_s = surf_usm_v(l)%start_index(j,i) |
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283 | surf_e = surf_usm_v(l)%end_index(j,i) |
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284 | DO m = surf_s, surf_e |
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285 | k = surf_usm_v(l)%k(m) |
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286 | tend(k,j,i) = tend(k,j,i) + & |
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287 | surf_usm_v(l)%mom_flux_w(m) * ddx |
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288 | ENDDO |
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289 | ENDDO |
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290 | |
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291 | ENDDO |
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292 | ENDDO |
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293 | |
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294 | END SUBROUTINE diffusion_w |
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295 | |
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296 | |
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297 | !------------------------------------------------------------------------------! |
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298 | ! Description: |
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299 | ! ------------ |
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300 | !> Call for grid point i,j |
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301 | !------------------------------------------------------------------------------! |
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302 | SUBROUTINE diffusion_w_ij( i, j ) |
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303 | |
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304 | USE arrays_3d, & |
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305 | ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air |
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306 | |
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307 | USE control_parameters, & |
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308 | ONLY : topography |
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309 | |
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310 | USE grid_variables, & |
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311 | ONLY : ddx, ddy |
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312 | |
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313 | USE indices, & |
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314 | ONLY : nxl, nxr, nyn, nys, nzb, nzt, wall_flags_0 |
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315 | |
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316 | USE kinds |
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317 | |
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318 | USE surface_mod, & |
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319 | ONLY : surf_def_v, surf_lsm_v, surf_usm_v |
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320 | |
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321 | IMPLICIT NONE |
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322 | |
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323 | |
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324 | INTEGER(iwp) :: i !< running index x direction |
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325 | INTEGER(iwp) :: j !< running index y direction |
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326 | INTEGER(iwp) :: k !< running index z direction |
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327 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
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328 | INTEGER(iwp) :: m !< running index surface elements |
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329 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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330 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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331 | |
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332 | REAL(wp) :: flag !< flag to mask topography grid points |
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333 | REAL(wp) :: kmxm !< |
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334 | REAL(wp) :: kmxp !< |
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335 | REAL(wp) :: kmym !< |
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336 | REAL(wp) :: kmyp !< |
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337 | REAL(wp) :: mask_west !< flag to mask vertical wall west of the grid point |
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338 | REAL(wp) :: mask_east !< flag to mask vertical wall east of the grid point |
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339 | REAL(wp) :: mask_south !< flag to mask vertical wall south of the grid point |
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340 | REAL(wp) :: mask_north !< flag to mask vertical wall north of the grid point |
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341 | |
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342 | |
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343 | DO k = nzb+1, nzt-1 |
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344 | ! |
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345 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
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346 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 3 ) ) |
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347 | mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i+1), 3 ) ) |
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348 | mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i-1), 3 ) ) |
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349 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 3 ) ) |
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350 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 3 ) ) |
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351 | ! |
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352 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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353 | 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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354 | 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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355 | 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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356 | 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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357 | |
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358 | tend(k,j,i) = tend(k,j,i) & |
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359 | + ( mask_east * kmxp * ( & |
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360 | ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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361 | + ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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362 | ) & |
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363 | - mask_west * kmxm * ( & |
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364 | ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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365 | + ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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366 | ) & |
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367 | ) * ddx * flag & |
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368 | + ( mask_north * kmyp * ( & |
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369 | ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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370 | + ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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371 | ) & |
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372 | - mask_south * kmym * ( & |
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373 | ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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374 | + ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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375 | ) & |
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376 | ) * ddy * flag & |
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377 | + 2.0_wp * ( & |
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378 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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379 | * rho_air(k+1) & |
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380 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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381 | * rho_air(k) & |
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382 | ) * ddzu(k+1) * drho_air_zw(k) * flag |
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383 | ENDDO |
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384 | ! |
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385 | !-- Add horizontal momentum flux v'w' at north- (l=0) and south-facing (l=1) |
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386 | !-- surfaces. Note, in the the flat case, loops won't be entered as |
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387 | !-- start_index > end_index. Furtermore, note, no vertical natural surfaces |
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388 | !-- so far. |
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389 | !-- Default-type surfaces |
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390 | DO l = 0, 1 |
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391 | surf_s = surf_def_v(l)%start_index(j,i) |
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392 | surf_e = surf_def_v(l)%end_index(j,i) |
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393 | DO m = surf_s, surf_e |
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394 | k = surf_def_v(l)%k(m) |
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395 | tend(k,j,i) = tend(k,j,i) + & |
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396 | surf_def_v(l)%mom_flux_w(m) * ddy |
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397 | ENDDO |
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398 | ENDDO |
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399 | ! |
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400 | !-- Natural-type surfaces |
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401 | DO l = 0, 1 |
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402 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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403 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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404 | DO m = surf_s, surf_e |
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405 | k = surf_lsm_v(l)%k(m) |
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406 | tend(k,j,i) = tend(k,j,i) + & |
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407 | surf_lsm_v(l)%mom_flux_w(m) * ddy |
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408 | ENDDO |
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409 | ENDDO |
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410 | ! |
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411 | !-- Urban-type surfaces |
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412 | DO l = 0, 1 |
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413 | surf_s = surf_usm_v(l)%start_index(j,i) |
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414 | surf_e = surf_usm_v(l)%end_index(j,i) |
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415 | DO m = surf_s, surf_e |
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416 | k = surf_usm_v(l)%k(m) |
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417 | tend(k,j,i) = tend(k,j,i) + & |
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418 | surf_usm_v(l)%mom_flux_w(m) * ddy |
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419 | ENDDO |
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420 | ENDDO |
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421 | ! |
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422 | !-- Add horizontal momentum flux u'w' at east- (l=2) and west-facing (l=3) |
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423 | !-- surfaces. |
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424 | !-- Default-type surfaces |
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425 | DO l = 2, 3 |
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426 | surf_s = surf_def_v(l)%start_index(j,i) |
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427 | surf_e = surf_def_v(l)%end_index(j,i) |
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428 | DO m = surf_s, surf_e |
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429 | k = surf_def_v(l)%k(m) |
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430 | tend(k,j,i) = tend(k,j,i) + & |
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431 | surf_def_v(l)%mom_flux_w(m) * ddx |
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432 | ENDDO |
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433 | ENDDO |
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434 | ! |
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435 | !-- Natural-type surfaces |
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436 | DO l = 2, 3 |
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437 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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438 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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439 | DO m = surf_s, surf_e |
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440 | k = surf_lsm_v(l)%k(m) |
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441 | tend(k,j,i) = tend(k,j,i) + & |
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442 | surf_lsm_v(l)%mom_flux_w(m) * ddx |
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443 | ENDDO |
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444 | ENDDO |
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445 | ! |
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446 | !-- Urban-type surfaces |
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447 | DO l = 2, 3 |
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448 | surf_s = surf_usm_v(l)%start_index(j,i) |
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449 | surf_e = surf_usm_v(l)%end_index(j,i) |
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450 | DO m = surf_s, surf_e |
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451 | k = surf_usm_v(l)%k(m) |
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452 | tend(k,j,i) = tend(k,j,i) + & |
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453 | surf_usm_v(l)%mom_flux_w(m) * ddx |
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454 | ENDDO |
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455 | ENDDO |
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456 | |
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457 | |
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458 | END SUBROUTINE diffusion_w_ij |
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459 | |
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460 | END MODULE diffusion_w_mod |
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