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 1997-2017 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 2233 2017-05-30 18:08:54Z raasch $ |
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27 | ! |
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28 | ! 2232 2017-05-30 17:47:52Z suehring |
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29 | ! Adjustments to new topography and surface concept |
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30 | ! |
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31 | ! 2118 2017-01-17 16:38:49Z raasch |
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32 | ! OpenACC version of subroutine removed |
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33 | ! |
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34 | ! 2037 2016-10-26 11:15:40Z knoop |
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35 | ! Anelastic approximation implemented |
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36 | ! |
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37 | ! 2000 2016-08-20 18:09:15Z knoop |
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38 | ! Forced header and separation lines into 80 columns |
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39 | ! |
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40 | ! 1873 2016-04-18 14:50:06Z maronga |
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41 | ! Module renamed (removed _mod) |
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42 | ! |
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43 | ! 1850 2016-04-08 13:29:27Z maronga |
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44 | ! Module renamed |
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45 | ! |
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46 | ! 1691 2015-10-26 16:17:44Z maronga |
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47 | ! Formatting corrections. |
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48 | ! |
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49 | ! 1682 2015-10-07 23:56:08Z knoop |
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50 | ! Code annotations made doxygen readable |
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51 | ! |
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52 | ! 1374 2014-04-25 12:55:07Z raasch |
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53 | ! missing variables added to ONLY list |
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54 | ! |
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55 | ! 1340 2014-03-25 19:45:13Z kanani |
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56 | ! REAL constants defined as wp-kind |
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57 | ! |
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58 | ! 1320 2014-03-20 08:40:49Z raasch |
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59 | ! ONLY-attribute added to USE-statements, |
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60 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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61 | ! kinds are defined in new module kinds, |
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62 | ! revision history before 2012 removed, |
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63 | ! comment fields (!:) to be used for variable explanations added to |
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64 | ! all variable declaration statements |
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65 | ! |
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66 | ! 1257 2013-11-08 15:18:40Z raasch |
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67 | ! openacc loop and loop vector clauses removed |
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68 | ! |
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69 | ! 1128 2013-04-12 06:19:32Z raasch |
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70 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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71 | ! j_north |
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72 | ! |
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73 | ! 1092 2013-02-02 11:24:22Z raasch |
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74 | ! unused variables removed |
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75 | ! |
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76 | ! 1036 2012-10-22 13:43:42Z raasch |
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77 | ! code put under GPL (PALM 3.9) |
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78 | ! |
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79 | ! 1015 2012-09-27 09:23:24Z raasch |
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80 | ! accelerator version (*_acc) added |
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81 | ! |
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82 | ! 1010 2012-09-20 07:59:54Z raasch |
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83 | ! cpp switch __nopointer added for pointer free version |
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84 | ! |
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85 | ! 1001 2012-09-13 14:08:46Z raasch |
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86 | ! some arrays comunicated by module instead of parameter list |
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87 | ! |
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88 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
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89 | ! Initial revision |
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90 | ! |
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91 | ! |
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92 | ! Description: |
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93 | ! ------------ |
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94 | !> Diffusion term of scalar quantities (temperature and water content) |
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95 | !------------------------------------------------------------------------------! |
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96 | MODULE diffusion_s_mod |
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97 | |
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98 | |
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99 | PRIVATE |
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100 | PUBLIC diffusion_s |
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101 | |
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102 | INTERFACE diffusion_s |
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103 | MODULE PROCEDURE diffusion_s |
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104 | MODULE PROCEDURE diffusion_s_ij |
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105 | END INTERFACE diffusion_s |
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106 | |
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107 | CONTAINS |
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108 | |
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109 | |
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110 | !------------------------------------------------------------------------------! |
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111 | ! Description: |
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112 | ! ------------ |
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113 | !> Call for all grid points |
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114 | !------------------------------------------------------------------------------! |
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115 | SUBROUTINE diffusion_s( s, s_flux_def_h_up, s_flux_def_h_down, & |
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116 | s_flux_t, & |
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117 | s_flux_lsm_h_up, s_flux_usm_h_up, & |
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118 | s_flux_def_v_north, s_flux_def_v_south, & |
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119 | s_flux_def_v_east, s_flux_def_v_west, & |
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120 | s_flux_lsm_v_north, s_flux_lsm_v_south, & |
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121 | s_flux_lsm_v_east, s_flux_lsm_v_west, & |
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122 | s_flux_usm_v_north, s_flux_usm_v_south, & |
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123 | s_flux_usm_v_east, s_flux_usm_v_west ) |
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124 | |
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125 | USE arrays_3d, & |
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126 | ONLY: ddzu, ddzw, kh, tend, drho_air, rho_air_zw |
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127 | |
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128 | USE control_parameters, & |
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129 | ONLY: use_surface_fluxes, use_top_fluxes |
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130 | |
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131 | USE grid_variables, & |
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132 | ONLY: ddx2, ddy2 |
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133 | |
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134 | USE indices, & |
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135 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, & |
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136 | 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_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
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142 | surf_usm_v |
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143 | |
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144 | IMPLICIT NONE |
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145 | |
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146 | INTEGER(iwp) :: i !< running index x direction |
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147 | INTEGER(iwp) :: j !< running index y direction |
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148 | INTEGER(iwp) :: k !< running index z direction |
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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) :: mask_bottom !< flag to mask vertical upward-facing surface |
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155 | REAL(wp) :: mask_east !< flag to mask vertical surface east of the grid point |
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156 | REAL(wp) :: mask_north !< flag to mask vertical surface north of the grid point |
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157 | REAL(wp) :: mask_south !< flag to mask vertical surface south of the grid point |
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158 | REAL(wp) :: mask_west !< flag to mask vertical surface west of the grid point |
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159 | REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface |
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160 | |
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161 | REAL(wp), DIMENSION(1:surf_def_v(0)%ns) :: s_flux_def_v_north !< flux at north-facing vertical default-type surfaces |
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162 | REAL(wp), DIMENSION(1:surf_def_v(1)%ns) :: s_flux_def_v_south !< flux at south-facing vertical default-type surfaces |
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163 | REAL(wp), DIMENSION(1:surf_def_v(2)%ns) :: s_flux_def_v_east !< flux at east-facing vertical default-type surfaces |
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164 | REAL(wp), DIMENSION(1:surf_def_v(3)%ns) :: s_flux_def_v_west !< flux at west-facing vertical default-type surfaces |
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165 | REAL(wp), DIMENSION(1:surf_def_h(0)%ns) :: s_flux_def_h_up !< flux at horizontal upward-facing default-type surfaces |
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166 | REAL(wp), DIMENSION(1:surf_def_h(1)%ns) :: s_flux_def_h_down !< flux at horizontal donwward-facing default-type surfaces |
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167 | REAL(wp), DIMENSION(1:surf_lsm_h%ns) :: s_flux_lsm_h_up !< flux at horizontal upward-facing natural-type surfaces |
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168 | REAL(wp), DIMENSION(1:surf_lsm_v(0)%ns) :: s_flux_lsm_v_north !< flux at north-facing vertical natural-type surfaces |
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169 | REAL(wp), DIMENSION(1:surf_lsm_v(1)%ns) :: s_flux_lsm_v_south !< flux at south-facing vertical natural-type surfaces |
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170 | REAL(wp), DIMENSION(1:surf_lsm_v(2)%ns) :: s_flux_lsm_v_east !< flux at east-facing vertical natural-type surfaces |
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171 | REAL(wp), DIMENSION(1:surf_lsm_v(3)%ns) :: s_flux_lsm_v_west !< flux at west-facing vertical natural-type surfaces |
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172 | REAL(wp), DIMENSION(1:surf_usm_h%ns) :: s_flux_usm_h_up !< flux at horizontal upward-facing urban-type surfaces |
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173 | REAL(wp), DIMENSION(1:surf_usm_v(0)%ns) :: s_flux_usm_v_north !< flux at north-facing vertical urban-type surfaces |
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174 | REAL(wp), DIMENSION(1:surf_usm_v(1)%ns) :: s_flux_usm_v_south !< flux at south-facing vertical urban-type surfaces |
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175 | REAL(wp), DIMENSION(1:surf_usm_v(2)%ns) :: s_flux_usm_v_east !< flux at east-facing vertical urban-type surfaces |
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176 | REAL(wp), DIMENSION(1:surf_usm_v(3)%ns) :: s_flux_usm_v_west !< flux at west-facing vertical urban-type surfaces |
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177 | REAL(wp), DIMENSION(1:surf_def_h(2)%ns) :: s_flux_t !< flux at model top |
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178 | #if defined( __nopointer ) |
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179 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !< |
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180 | #else |
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181 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !< |
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182 | #endif |
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183 | |
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184 | DO i = nxl, nxr |
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185 | DO j = nys,nyn |
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186 | ! |
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187 | !-- Compute horizontal diffusion |
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188 | DO k = nzb+1, nzt |
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189 | ! |
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190 | !-- Predetermine flag to mask topography and wall-bounded grid points |
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191 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
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192 | ! |
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193 | !-- Predetermine flag to mask wall-bounded grid points, equivalent to |
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194 | !-- former s_outer array |
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195 | mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
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196 | mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i+1), 0 ) ) |
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197 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
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198 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 0 ) ) |
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199 | |
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200 | tend(k,j,i) = tend(k,j,i) & |
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201 | + 0.5_wp * ( & |
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202 | mask_east * ( kh(k,j,i) + kh(k,j,i+1) ) & |
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203 | * ( s(k,j,i+1) - s(k,j,i) ) & |
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204 | - mask_west * ( kh(k,j,i) + kh(k,j,i-1) ) & |
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205 | * ( s(k,j,i) - s(k,j,i-1) ) & |
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206 | ) * ddx2 * flag & |
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207 | + 0.5_wp * ( & |
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208 | mask_north * ( kh(k,j,i) + kh(k,j+1,i) ) & |
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209 | * ( s(k,j+1,i) - s(k,j,i) ) & |
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210 | - mask_south * ( kh(k,j,i) + kh(k,j-1,i) ) & |
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211 | * ( s(k,j,i) - s(k,j-1,i) ) & |
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212 | ) * ddy2 * flag |
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213 | ENDDO |
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214 | |
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215 | ! |
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216 | !-- Apply prescribed horizontal wall heatflux where necessary. First, |
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217 | !-- determine start and end index for respective (j,i)-index. Please |
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218 | !-- note, in the flat case following loop will not be entered, as |
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219 | !-- surf_s=1 and surf_e=0. Furtermore, note, no vertical natural surfaces |
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220 | !-- so far. |
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221 | !-- First, for default-type surfaces |
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222 | !-- North-facing vertical default-type surfaces |
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223 | surf_s = surf_def_v(0)%start_index(j,i) |
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224 | surf_e = surf_def_v(0)%end_index(j,i) |
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225 | DO m = surf_s, surf_e |
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226 | k = surf_def_v(0)%k(m) |
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227 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_north(m) * ddy2 |
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228 | ENDDO |
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229 | ! |
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230 | !-- South-facing vertical default-type surfaces |
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231 | surf_s = surf_def_v(1)%start_index(j,i) |
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232 | surf_e = surf_def_v(1)%end_index(j,i) |
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233 | DO m = surf_s, surf_e |
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234 | k = surf_def_v(1)%k(m) |
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235 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_south(m) * ddy2 |
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236 | ENDDO |
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237 | ! |
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238 | !-- East-facing vertical default-type surfaces |
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239 | surf_s = surf_def_v(2)%start_index(j,i) |
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240 | surf_e = surf_def_v(2)%end_index(j,i) |
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241 | DO m = surf_s, surf_e |
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242 | k = surf_def_v(2)%k(m) |
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243 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_east(m) * ddx2 |
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244 | ENDDO |
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245 | ! |
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246 | !-- West-facing vertical default-type surfaces |
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247 | surf_s = surf_def_v(3)%start_index(j,i) |
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248 | surf_e = surf_def_v(3)%end_index(j,i) |
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249 | DO m = surf_s, surf_e |
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250 | k = surf_def_v(3)%k(m) |
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251 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_west(m) * ddx2 |
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252 | ENDDO |
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253 | ! |
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254 | !-- Now, for natural-type surfaces. |
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255 | !-- North-facing |
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256 | surf_s = surf_lsm_v(0)%start_index(j,i) |
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257 | surf_e = surf_lsm_v(0)%end_index(j,i) |
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258 | DO m = surf_s, surf_e |
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259 | k = surf_lsm_v(0)%k(m) |
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260 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_north(m) * ddy2 |
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261 | ENDDO |
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262 | ! |
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263 | !-- South-facing |
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264 | surf_s = surf_lsm_v(1)%start_index(j,i) |
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265 | surf_e = surf_lsm_v(1)%end_index(j,i) |
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266 | DO m = surf_s, surf_e |
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267 | k = surf_lsm_v(1)%k(m) |
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268 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_south(m) * ddy2 |
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269 | ENDDO |
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270 | ! |
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271 | !-- East-facing |
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272 | surf_s = surf_lsm_v(2)%start_index(j,i) |
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273 | surf_e = surf_lsm_v(2)%end_index(j,i) |
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274 | DO m = surf_s, surf_e |
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275 | k = surf_lsm_v(2)%k(m) |
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276 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_east(m) * ddx2 |
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277 | ENDDO |
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278 | ! |
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279 | !-- West-facing |
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280 | surf_s = surf_lsm_v(3)%start_index(j,i) |
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281 | surf_e = surf_lsm_v(3)%end_index(j,i) |
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282 | DO m = surf_s, surf_e |
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283 | k = surf_lsm_v(3)%k(m) |
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284 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_west(m) * ddx2 |
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285 | ENDDO |
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286 | ! |
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287 | !-- Now, for urban-type surfaces. |
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288 | !-- North-facing |
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289 | surf_s = surf_usm_v(0)%start_index(j,i) |
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290 | surf_e = surf_usm_v(0)%end_index(j,i) |
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291 | DO m = surf_s, surf_e |
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292 | k = surf_usm_v(0)%k(m) |
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293 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_north(m) * ddy2 |
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294 | ENDDO |
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295 | ! |
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296 | !-- South-facing |
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297 | surf_s = surf_usm_v(1)%start_index(j,i) |
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298 | surf_e = surf_usm_v(1)%end_index(j,i) |
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299 | DO m = surf_s, surf_e |
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300 | k = surf_usm_v(1)%k(m) |
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301 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_south(m) * ddy2 |
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302 | ENDDO |
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303 | ! |
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304 | !-- East-facing |
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305 | surf_s = surf_usm_v(2)%start_index(j,i) |
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306 | surf_e = surf_usm_v(2)%end_index(j,i) |
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307 | DO m = surf_s, surf_e |
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308 | k = surf_usm_v(2)%k(m) |
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309 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_east(m) * ddx2 |
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310 | ENDDO |
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311 | ! |
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312 | !-- West-facing |
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313 | surf_s = surf_usm_v(3)%start_index(j,i) |
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314 | surf_e = surf_usm_v(3)%end_index(j,i) |
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315 | DO m = surf_s, surf_e |
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316 | k = surf_usm_v(3)%k(m) |
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317 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_west(m) * ddx2 |
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318 | ENDDO |
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319 | |
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320 | ! |
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321 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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322 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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323 | !-- nzb+2 or nzt-1, respectively. Model top is also mask if top flux |
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324 | !-- is given. |
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325 | DO k = nzb+1, nzt |
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326 | ! |
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327 | !-- Determine flags to mask topography below and above. Flag 0 is |
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328 | !-- used to mask topography in general, and flag 8 implies |
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329 | !-- information about use_surface_fluxes. Flag 9 is used to control |
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330 | !-- flux at model top. |
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331 | mask_bottom = MERGE( 1.0_wp, 0.0_wp, & |
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332 | BTEST( wall_flags_0(k-1,j,i), 8 ) ) |
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333 | mask_top = MERGE( 1.0_wp, 0.0_wp, & |
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334 | BTEST( wall_flags_0(k+1,j,i), 8 ) ) * & |
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335 | MERGE( 1.0_wp, 0.0_wp, & |
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336 | BTEST( wall_flags_0(k+1,j,i), 9 ) ) |
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337 | flag = MERGE( 1.0_wp, 0.0_wp, & |
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338 | BTEST( wall_flags_0(k,j,i), 0 ) ) |
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339 | |
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340 | tend(k,j,i) = tend(k,j,i) & |
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341 | + 0.5_wp * ( & |
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342 | ( kh(k,j,i) + kh(k+1,j,i) ) * & |
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343 | ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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344 | * rho_air_zw(k) & |
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345 | * mask_top & |
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346 | - ( kh(k,j,i) + kh(k-1,j,i) ) * & |
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347 | ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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348 | * rho_air_zw(k-1) & |
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349 | * mask_bottom & |
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350 | ) * ddzw(k) * drho_air(k) & |
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351 | * flag |
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352 | ENDDO |
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353 | |
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354 | ! |
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355 | !-- Vertical diffusion at horizontal walls. |
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356 | IF ( use_surface_fluxes ) THEN |
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357 | ! |
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358 | !-- Default-type surfaces, upward-facing |
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359 | surf_s = surf_def_h(0)%start_index(j,i) |
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360 | surf_e = surf_def_h(0)%end_index(j,i) |
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361 | DO m = surf_s, surf_e |
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362 | |
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363 | k = surf_def_h(0)%k(m) |
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364 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_up(m) & |
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365 | * ddzw(k) * drho_air(k) |
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366 | |
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367 | ENDDO |
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368 | ! |
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369 | !-- Default-type surfaces, downward-facing |
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370 | surf_s = surf_def_h(1)%start_index(j,i) |
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371 | surf_e = surf_def_h(1)%end_index(j,i) |
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372 | DO m = surf_s, surf_e |
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373 | |
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374 | k = surf_def_h(1)%k(m) |
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375 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_down(m) & |
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376 | * ddzw(k) * drho_air(k) |
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377 | |
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378 | ENDDO |
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379 | ! |
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380 | !-- Natural-type surfaces, upward-facing |
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381 | surf_s = surf_lsm_h%start_index(j,i) |
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382 | surf_e = surf_lsm_h%end_index(j,i) |
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383 | DO m = surf_s, surf_e |
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384 | |
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385 | k = surf_lsm_h%k(m) |
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386 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_h_up(m) & |
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387 | * ddzw(k) * drho_air(k) |
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388 | |
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389 | ENDDO |
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390 | ! |
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391 | !-- Urban-type surfaces, upward-facing |
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392 | surf_s = surf_usm_h%start_index(j,i) |
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393 | surf_e = surf_usm_h%end_index(j,i) |
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394 | DO m = surf_s, surf_e |
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395 | |
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396 | k = surf_usm_h%k(m) |
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397 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_h_up(m) & |
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398 | * ddzw(k) * drho_air(k) |
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399 | |
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400 | ENDDO |
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401 | |
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402 | ENDIF |
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403 | ! |
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404 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
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405 | IF ( use_top_fluxes ) THEN |
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406 | surf_s = surf_def_h(2)%start_index(j,i) |
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407 | surf_e = surf_def_h(2)%end_index(j,i) |
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408 | DO m = surf_s, surf_e |
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409 | |
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410 | k = surf_def_h(2)%k(m) |
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411 | tend(k,j,i) = tend(k,j,i) & |
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412 | + ( - s_flux_t(m) ) * ddzw(k) * drho_air(k) |
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413 | ENDDO |
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414 | ENDIF |
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415 | |
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416 | ENDDO |
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417 | ENDDO |
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418 | |
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419 | END SUBROUTINE diffusion_s |
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420 | |
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421 | !------------------------------------------------------------------------------! |
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422 | ! Description: |
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423 | ! ------------ |
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424 | !> Call for grid point i,j |
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425 | !------------------------------------------------------------------------------! |
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426 | SUBROUTINE diffusion_s_ij( i, j, s, & |
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427 | s_flux_def_h_up, s_flux_def_h_down, & |
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428 | s_flux_t, & |
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429 | s_flux_lsm_h_up, s_flux_usm_h_up, & |
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430 | s_flux_def_v_north, s_flux_def_v_south, & |
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431 | s_flux_def_v_east, s_flux_def_v_west, & |
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432 | s_flux_lsm_v_north, s_flux_lsm_v_south, & |
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433 | s_flux_lsm_v_east, s_flux_lsm_v_west, & |
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434 | s_flux_usm_v_north, s_flux_usm_v_south, & |
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435 | s_flux_usm_v_east, s_flux_usm_v_west ) |
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436 | |
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437 | USE arrays_3d, & |
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438 | ONLY: ddzu, ddzw, kh, tend, drho_air, rho_air_zw |
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439 | |
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440 | USE control_parameters, & |
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441 | ONLY: use_surface_fluxes, use_top_fluxes |
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442 | |
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443 | USE grid_variables, & |
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444 | ONLY: ddx2, ddy2 |
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445 | |
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446 | USE indices, & |
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447 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt, wall_flags_0 |
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448 | |
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449 | USE kinds |
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450 | |
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451 | USE surface_mod, & |
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452 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
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453 | surf_usm_v |
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454 | |
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455 | IMPLICIT NONE |
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456 | |
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457 | INTEGER(iwp) :: i !< running index x direction |
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458 | INTEGER(iwp) :: j !< running index y direction |
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459 | INTEGER(iwp) :: k !< running index z direction |
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460 | INTEGER(iwp) :: m !< running index surface elements |
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461 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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462 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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463 | |
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464 | REAL(wp) :: flag !< flag to mask topography grid points |
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465 | REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface |
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466 | REAL(wp) :: mask_east !< flag to mask vertical surface east of the grid point |
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467 | REAL(wp) :: mask_north !< flag to mask vertical surface north of the grid point |
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468 | REAL(wp) :: mask_south !< flag to mask vertical surface south of the grid point |
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469 | REAL(wp) :: mask_west !< flag to mask vertical surface west of the grid point |
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470 | REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface |
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471 | |
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472 | REAL(wp), DIMENSION(1:surf_def_v(0)%ns) :: s_flux_def_v_north !< flux at north-facing vertical default-type surfaces |
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473 | REAL(wp), DIMENSION(1:surf_def_v(1)%ns) :: s_flux_def_v_south !< flux at south-facing vertical default-type surfaces |
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474 | REAL(wp), DIMENSION(1:surf_def_v(2)%ns) :: s_flux_def_v_east !< flux at east-facing vertical default-type surfaces |
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475 | REAL(wp), DIMENSION(1:surf_def_v(3)%ns) :: s_flux_def_v_west !< flux at west-facing vertical default-type surfaces |
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476 | REAL(wp), DIMENSION(1:surf_def_h(0)%ns) :: s_flux_def_h_up !< flux at horizontal upward-facing default-type surfaces |
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477 | REAL(wp), DIMENSION(1:surf_def_h(1)%ns) :: s_flux_def_h_down !< flux at horizontal donwward-facing default-type surfaces |
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478 | REAL(wp), DIMENSION(1:surf_lsm_h%ns) :: s_flux_lsm_h_up !< flux at horizontal upward-facing natural-type surfaces |
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479 | REAL(wp), DIMENSION(1:surf_lsm_v(0)%ns) :: s_flux_lsm_v_north !< flux at north-facing vertical urban-type surfaces |
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480 | REAL(wp), DIMENSION(1:surf_lsm_v(1)%ns) :: s_flux_lsm_v_south !< flux at south-facing vertical urban-type surfaces |
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481 | REAL(wp), DIMENSION(1:surf_lsm_v(2)%ns) :: s_flux_lsm_v_east !< flux at east-facing vertical urban-type surfaces |
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482 | REAL(wp), DIMENSION(1:surf_lsm_v(3)%ns) :: s_flux_lsm_v_west !< flux at west-facing vertical urban-type surfaces |
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483 | REAL(wp), DIMENSION(1:surf_usm_h%ns) :: s_flux_usm_h_up !< flux at horizontal upward-facing urban-type surfaces |
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484 | REAL(wp), DIMENSION(1:surf_usm_v(0)%ns) :: s_flux_usm_v_north !< flux at north-facing vertical urban-type surfaces |
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485 | REAL(wp), DIMENSION(1:surf_usm_v(1)%ns) :: s_flux_usm_v_south !< flux at south-facing vertical urban-type surfaces |
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486 | REAL(wp), DIMENSION(1:surf_usm_v(2)%ns) :: s_flux_usm_v_east !< flux at east-facing vertical urban-type surfaces |
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487 | REAL(wp), DIMENSION(1:surf_usm_v(3)%ns) :: s_flux_usm_v_west !< flux at west-facing vertical urban-type surfaces |
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488 | REAL(wp), DIMENSION(1:surf_def_h(2)%ns) :: s_flux_t !< flux at model top |
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489 | #if defined( __nopointer ) |
---|
490 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !< |
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491 | #else |
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492 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !< |
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493 | #endif |
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494 | |
---|
495 | ! |
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496 | !-- Compute horizontal diffusion |
---|
497 | DO k = nzb+1, nzt |
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498 | ! |
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499 | !-- Predetermine flag to mask topography and wall-bounded grid points |
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500 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
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501 | ! |
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502 | !-- Predetermine flag to mask wall-bounded grid points, equivalent to |
---|
503 | !-- former s_outer array |
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504 | mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
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505 | mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i+1), 0 ) ) |
---|
506 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
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507 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 0 ) ) |
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508 | ! |
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509 | !-- Finally, determine flag to mask both topography itself as well |
---|
510 | !-- as wall-bounded grid points, which will be treated further below |
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511 | |
---|
512 | tend(k,j,i) = tend(k,j,i) & |
---|
513 | + 0.5_wp * ( & |
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514 | mask_east * ( kh(k,j,i) + kh(k,j,i+1) ) & |
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515 | * ( s(k,j,i+1) - s(k,j,i) ) & |
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516 | - mask_west * ( kh(k,j,i) + kh(k,j,i-1) ) & |
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517 | * ( s(k,j,i) - s(k,j,i-1) ) & |
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518 | ) * ddx2 * flag & |
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519 | + 0.5_wp * ( & |
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520 | mask_north * ( kh(k,j,i) + kh(k,j+1,i) ) & |
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521 | * ( s(k,j+1,i) - s(k,j,i) ) & |
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522 | - mask_south * ( kh(k,j,i) + kh(k,j-1,i) ) & |
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523 | * ( s(k,j,i) - s(k,j-1,i) ) & |
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524 | ) * ddy2 * flag |
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525 | ENDDO |
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526 | |
---|
527 | ! |
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528 | !-- Apply prescribed horizontal wall heatflux where necessary. First, |
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529 | !-- determine start and end index for respective (j,i)-index. Please |
---|
530 | !-- note, in the flat case following loops will not be entered, as |
---|
531 | !-- surf_s=1 and surf_e=0. Furtermore, note, no vertical natural surfaces |
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532 | !-- so far. |
---|
533 | !-- First, for default-type surfaces |
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534 | !-- North-facing vertical default-type surfaces |
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535 | surf_s = surf_def_v(0)%start_index(j,i) |
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536 | surf_e = surf_def_v(0)%end_index(j,i) |
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537 | DO m = surf_s, surf_e |
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538 | k = surf_def_v(0)%k(m) |
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539 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_north(m) * ddy2 |
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540 | ENDDO |
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541 | ! |
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542 | !-- South-facing vertical default-type surfaces |
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543 | surf_s = surf_def_v(1)%start_index(j,i) |
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544 | surf_e = surf_def_v(1)%end_index(j,i) |
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545 | DO m = surf_s, surf_e |
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546 | k = surf_def_v(1)%k(m) |
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547 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_south(m) * ddy2 |
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548 | ENDDO |
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549 | ! |
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550 | !-- East-facing vertical default-type surfaces |
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551 | surf_s = surf_def_v(2)%start_index(j,i) |
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552 | surf_e = surf_def_v(2)%end_index(j,i) |
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553 | DO m = surf_s, surf_e |
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554 | k = surf_def_v(2)%k(m) |
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555 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_east(m) * ddx2 |
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556 | ENDDO |
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557 | ! |
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558 | !-- West-facing vertical default-type surfaces |
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559 | surf_s = surf_def_v(3)%start_index(j,i) |
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560 | surf_e = surf_def_v(3)%end_index(j,i) |
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561 | DO m = surf_s, surf_e |
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562 | k = surf_def_v(3)%k(m) |
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563 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_west(m) * ddx2 |
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564 | ENDDO |
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565 | ! |
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566 | !-- Now, for natural-type surfaces |
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567 | !-- North-facing |
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568 | surf_s = surf_lsm_v(0)%start_index(j,i) |
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569 | surf_e = surf_lsm_v(0)%end_index(j,i) |
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570 | DO m = surf_s, surf_e |
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571 | k = surf_lsm_v(0)%k(m) |
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572 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_north(m) * ddy2 |
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573 | ENDDO |
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574 | ! |
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575 | !-- South-facing |
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576 | surf_s = surf_lsm_v(1)%start_index(j,i) |
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577 | surf_e = surf_lsm_v(1)%end_index(j,i) |
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578 | DO m = surf_s, surf_e |
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579 | k = surf_lsm_v(1)%k(m) |
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580 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_south(m) * ddy2 |
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581 | ENDDO |
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582 | ! |
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583 | !-- East-facing |
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584 | surf_s = surf_lsm_v(2)%start_index(j,i) |
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585 | surf_e = surf_lsm_v(2)%end_index(j,i) |
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586 | DO m = surf_s, surf_e |
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587 | k = surf_lsm_v(2)%k(m) |
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588 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_east(m) * ddx2 |
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589 | ENDDO |
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590 | ! |
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591 | !-- West-facing |
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592 | surf_s = surf_lsm_v(3)%start_index(j,i) |
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593 | surf_e = surf_lsm_v(3)%end_index(j,i) |
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594 | DO m = surf_s, surf_e |
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595 | k = surf_lsm_v(3)%k(m) |
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596 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_west(m) * ddx2 |
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597 | ENDDO |
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598 | ! |
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599 | !-- Now, for urban-type surfaces |
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600 | !-- North-facing |
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601 | surf_s = surf_usm_v(0)%start_index(j,i) |
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602 | surf_e = surf_usm_v(0)%end_index(j,i) |
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603 | DO m = surf_s, surf_e |
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604 | k = surf_usm_v(0)%k(m) |
---|
605 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_north(m) * ddy2 |
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606 | ENDDO |
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607 | ! |
---|
608 | !-- South-facing |
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609 | surf_s = surf_usm_v(1)%start_index(j,i) |
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610 | surf_e = surf_usm_v(1)%end_index(j,i) |
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611 | DO m = surf_s, surf_e |
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612 | k = surf_usm_v(1)%k(m) |
---|
613 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_south(m) * ddy2 |
---|
614 | ENDDO |
---|
615 | ! |
---|
616 | !-- East-facing |
---|
617 | surf_s = surf_usm_v(2)%start_index(j,i) |
---|
618 | surf_e = surf_usm_v(2)%end_index(j,i) |
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619 | DO m = surf_s, surf_e |
---|
620 | k = surf_usm_v(2)%k(m) |
---|
621 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_east(m) * ddx2 |
---|
622 | ENDDO |
---|
623 | ! |
---|
624 | !-- West-facing |
---|
625 | surf_s = surf_usm_v(3)%start_index(j,i) |
---|
626 | surf_e = surf_usm_v(3)%end_index(j,i) |
---|
627 | DO m = surf_s, surf_e |
---|
628 | k = surf_usm_v(3)%k(m) |
---|
629 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_west(m) * ddx2 |
---|
630 | ENDDO |
---|
631 | |
---|
632 | |
---|
633 | ! |
---|
634 | !-- Compute vertical diffusion. In case that surface fluxes have been |
---|
635 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
---|
636 | !-- nzb+2 or nzt-1, respectively. Model top is also mask if top flux |
---|
637 | !-- is given. |
---|
638 | DO k = nzb+1, nzt |
---|
639 | ! |
---|
640 | !-- Determine flags to mask topography below and above. Flag 0 is |
---|
641 | !-- used to mask topography in general, and flag 8 implies |
---|
642 | !-- information about use_surface_fluxes. Flag 9 is used to control |
---|
643 | !-- flux at model top. |
---|
644 | mask_bottom = MERGE( 1.0_wp, 0.0_wp, & |
---|
645 | BTEST( wall_flags_0(k-1,j,i), 8 ) ) |
---|
646 | mask_top = MERGE( 1.0_wp, 0.0_wp, & |
---|
647 | BTEST( wall_flags_0(k+1,j,i), 8 ) ) * & |
---|
648 | MERGE( 1.0_wp, 0.0_wp, & |
---|
649 | BTEST( wall_flags_0(k+1,j,i), 9 ) ) |
---|
650 | flag = MERGE( 1.0_wp, 0.0_wp, & |
---|
651 | BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
652 | |
---|
653 | tend(k,j,i) = tend(k,j,i) & |
---|
654 | + 0.5_wp * ( & |
---|
655 | ( kh(k,j,i) + kh(k+1,j,i) ) * & |
---|
656 | ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
---|
657 | * rho_air_zw(k) & |
---|
658 | * mask_top & |
---|
659 | - ( kh(k,j,i) + kh(k-1,j,i) ) * & |
---|
660 | ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
---|
661 | * rho_air_zw(k-1) & |
---|
662 | * mask_bottom & |
---|
663 | ) * ddzw(k) * drho_air(k) & |
---|
664 | * flag |
---|
665 | ENDDO |
---|
666 | |
---|
667 | ! |
---|
668 | !-- Vertical diffusion at horizontal walls. |
---|
669 | !-- TO DO: Adjust for downward facing walls and mask already in main loop |
---|
670 | IF ( use_surface_fluxes ) THEN |
---|
671 | ! |
---|
672 | !-- Default-type surfaces, upward-facing |
---|
673 | surf_s = surf_def_h(0)%start_index(j,i) |
---|
674 | surf_e = surf_def_h(0)%end_index(j,i) |
---|
675 | DO m = surf_s, surf_e |
---|
676 | |
---|
677 | k = surf_def_h(0)%k(m) |
---|
678 | |
---|
679 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_up(m) & |
---|
680 | * ddzw(k) * drho_air(k) |
---|
681 | ENDDO |
---|
682 | ! |
---|
683 | !-- Default-type surfaces, downward-facing |
---|
684 | surf_s = surf_def_h(1)%start_index(j,i) |
---|
685 | surf_e = surf_def_h(1)%end_index(j,i) |
---|
686 | DO m = surf_s, surf_e |
---|
687 | |
---|
688 | k = surf_def_h(1)%k(m) |
---|
689 | |
---|
690 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_down(m) & |
---|
691 | * ddzw(k) * drho_air(k) |
---|
692 | ENDDO |
---|
693 | ! |
---|
694 | !-- Natural-type surfaces, upward-facing |
---|
695 | surf_s = surf_lsm_h%start_index(j,i) |
---|
696 | surf_e = surf_lsm_h%end_index(j,i) |
---|
697 | DO m = surf_s, surf_e |
---|
698 | k = surf_lsm_h%k(m) |
---|
699 | |
---|
700 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_h_up(m) & |
---|
701 | * ddzw(k) * drho_air(k) |
---|
702 | ENDDO |
---|
703 | ! |
---|
704 | !-- Urban-type surfaces, upward-facing |
---|
705 | surf_s = surf_usm_h%start_index(j,i) |
---|
706 | surf_e = surf_usm_h%end_index(j,i) |
---|
707 | DO m = surf_s, surf_e |
---|
708 | k = surf_usm_h%k(m) |
---|
709 | |
---|
710 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_h_up(m) & |
---|
711 | * ddzw(k) * drho_air(k) |
---|
712 | ENDDO |
---|
713 | ENDIF |
---|
714 | ! |
---|
715 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
---|
716 | IF ( use_top_fluxes ) THEN |
---|
717 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
718 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
719 | DO m = surf_s, surf_e |
---|
720 | |
---|
721 | k = surf_def_h(2)%k(m) |
---|
722 | tend(k,j,i) = tend(k,j,i) & |
---|
723 | + ( - s_flux_t(m) ) * ddzw(k) * drho_air(k) |
---|
724 | ENDDO |
---|
725 | ENDIF |
---|
726 | |
---|
727 | END SUBROUTINE diffusion_s_ij |
---|
728 | |
---|
729 | END MODULE diffusion_s_mod |
---|