1 | !> @file turbulence_closure_mod.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 2017-2018 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: turbulence_closure_mod.f90 2764 2018-01-22 09:25:36Z schwenkel $ |
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27 | ! Bugfix: remove duplicate SAVE statements |
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28 | ! |
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29 | ! 2746 2018-01-15 12:06:04Z suehring |
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30 | ! Move flag plant canopy to modules |
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31 | ! |
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32 | ! 2718 2018-01-02 08:49:38Z maronga |
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33 | ! Corrected "Former revisions" section |
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34 | ! |
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35 | ! 2701 2017-12-15 15:40:50Z suehring |
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36 | ! Changes from last commit documented |
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37 | ! |
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38 | ! 2698 2017-12-14 18:46:24Z suehring |
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39 | ! Bugfix in get_topography_top_index |
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40 | ! |
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41 | ! 2696 2017-12-14 17:12:51Z kanani |
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42 | ! Initial revision |
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43 | ! |
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44 | ! |
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45 | ! |
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46 | ! |
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47 | ! Authors: |
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48 | ! -------- |
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49 | ! @author Tobias Gronemeier |
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50 | ! |
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51 | ! |
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52 | ! Description: |
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53 | ! ------------ |
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54 | !> This module contains the available turbulence closures for PALM. |
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55 | !> |
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56 | !> |
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57 | !> @todo test initialization for all possibilities |
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58 | !> add OpenMP directives whereever possible |
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59 | !> remove debug output variables (dummy1, dummy2, dummy3) |
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60 | !> @note <Enter notes on the module> |
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61 | !> @bug TKE-e closure still crashes due to too small dt |
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62 | !------------------------------------------------------------------------------! |
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63 | MODULE turbulence_closure_mod |
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64 | |
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65 | |
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66 | #if defined( __nopointer ) |
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67 | USE arrays_3d, & |
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68 | ONLY: diss, diss_p, dzu, e, e_p, kh, km, l_grid, & |
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69 | mean_inflow_profiles, prho, pt, tdiss_m, te_m, tend, u, v, vpt, w |
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70 | #else |
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71 | USE arrays_3d, & |
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72 | ONLY: diss, diss_1, diss_2, diss_3, diss_p, dzu, e, e_1, e_2, e_3, & |
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73 | e_p, kh, km, l_grid, mean_inflow_profiles, prho, pt, tdiss_m, & |
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74 | te_m, tend, u, v, vpt, w |
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75 | #endif |
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76 | |
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77 | USE control_parameters, & |
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78 | ONLY: constant_diffusion, dt_3d, e_init, humidity, inflow_l, & |
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79 | initializing_actions, intermediate_timestep_count, & |
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80 | intermediate_timestep_count_max, kappa, km_constant, les_mw, & |
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81 | ocean, plant_canopy, prandtl_number, prho_reference, & |
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82 | pt_reference, rans_mode, rans_tke_e, rans_tke_l, simulated_time,& |
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83 | timestep_scheme, turbulence_closure, turbulent_inflow, & |
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84 | use_upstream_for_tke, vpt_reference, ws_scheme_sca |
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85 | |
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86 | USE advec_ws, & |
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87 | ONLY: advec_s_ws |
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88 | |
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89 | USE advec_s_bc_mod, & |
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90 | ONLY: advec_s_bc |
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91 | |
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92 | USE advec_s_pw_mod, & |
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93 | ONLY: advec_s_pw |
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94 | |
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95 | USE advec_s_up_mod, & |
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96 | ONLY: advec_s_up |
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97 | |
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98 | USE cpulog, & |
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99 | ONLY: cpu_log, log_point, log_point_s |
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100 | |
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101 | USE indices, & |
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102 | ONLY: nbgp, nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, & |
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103 | nzb, nzb_s_inner, nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt, & |
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104 | wall_flags_0 |
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105 | |
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106 | USE kinds |
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107 | |
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108 | USE pegrid |
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109 | |
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110 | USE plant_canopy_model_mod, & |
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111 | ONLY: pcm_tendency |
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112 | |
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113 | USE statistics, & |
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114 | ONLY: hom, hom_sum, statistic_regions |
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115 | |
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116 | USE user_actions_mod, & |
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117 | ONLY: user_actions |
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118 | |
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119 | |
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120 | IMPLICIT NONE |
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121 | |
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122 | |
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123 | REAL(wp) :: c_1 = 1.44_wp !< model constant for RANS mode |
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124 | REAL(wp) :: c_2 = 1.92_wp !< model constant for RANS mode |
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125 | REAL(wp) :: c_3 = 1.44_wp !< model constant for RANS mode |
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126 | REAL(wp) :: c_h = 0.0015_wp !< model constant for RANS mode |
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127 | REAL(wp) :: c_m !< constant used for diffusion coefficient and dissipation (dependent on mode RANS/LES) |
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128 | REAL(wp) :: c_mu = 0.09_wp !< model constant for RANS mode |
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129 | REAL(wp) :: l_max !< maximum length scale for Blackadar mixing length |
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130 | REAL(wp) :: sig_e = 1.0_wp !< factor to calculate Ke from Km |
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131 | REAL(wp) :: sig_diss = 1.3_wp !< factor to calculate K_diss from Km |
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132 | INTEGER(iwp) :: surf_e !< end index of surface elements at given i-j position |
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133 | INTEGER(iwp) :: surf_s !< start index of surface elements at given i-j position |
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134 | |
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135 | REAL(wp), DIMENSION(:), ALLOCATABLE :: l_black !< mixing length according to Blackadar |
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136 | |
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137 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: dummy1 !< debug output variable |
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138 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: dummy2 !< debug output variable |
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139 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: dummy3 !< debug output variable |
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140 | |
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141 | |
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142 | PUBLIC c_m, dummy1, dummy2, dummy3 |
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143 | |
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144 | ! |
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145 | !-- PALM interfaces: |
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146 | !-- Input parameter checks to be done in check_parameters |
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147 | INTERFACE tcm_check_parameters |
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148 | MODULE PROCEDURE tcm_check_parameters |
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149 | END INTERFACE tcm_check_parameters |
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150 | |
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151 | ! |
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152 | !-- Data output checks for 2D/3D data to be done in check_parameters |
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153 | INTERFACE tcm_check_data_output |
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154 | MODULE PROCEDURE tcm_check_data_output |
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155 | END INTERFACE tcm_check_data_output |
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156 | |
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157 | ! |
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158 | !-- Definition of data output quantities |
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159 | INTERFACE tcm_define_netcdf_grid |
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160 | MODULE PROCEDURE tcm_define_netcdf_grid |
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161 | END INTERFACE tcm_define_netcdf_grid |
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162 | |
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163 | ! |
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164 | !-- Averaging of 3D data for output |
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165 | INTERFACE tcm_3d_data_averaging |
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166 | MODULE PROCEDURE tcm_3d_data_averaging |
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167 | END INTERFACE tcm_3d_data_averaging |
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168 | |
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169 | ! |
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170 | !-- Data output of 2D quantities |
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171 | INTERFACE tcm_data_output_2d |
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172 | MODULE PROCEDURE tcm_data_output_2d |
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173 | END INTERFACE tcm_data_output_2d |
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174 | |
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175 | ! |
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176 | !-- Data output of 3D data |
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177 | INTERFACE tcm_data_output_3d |
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178 | MODULE PROCEDURE tcm_data_output_3d |
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179 | END INTERFACE tcm_data_output_3d |
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180 | |
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181 | ! |
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182 | !-- Initialization actions |
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183 | INTERFACE tcm_init |
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184 | MODULE PROCEDURE tcm_init |
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185 | END INTERFACE tcm_init |
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186 | |
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187 | ! |
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188 | !-- Initialization of arrays |
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189 | INTERFACE tcm_init_arrays |
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190 | MODULE PROCEDURE tcm_init_arrays |
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191 | END INTERFACE tcm_init_arrays |
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192 | |
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193 | ! |
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194 | !-- Initialization of TKE production term |
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195 | INTERFACE production_e_init |
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196 | MODULE PROCEDURE production_e_init |
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197 | END INTERFACE production_e_init |
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198 | |
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199 | ! |
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200 | !-- Prognostic equations for TKE and TKE dissipation rate |
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201 | INTERFACE tcm_prognostic |
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202 | MODULE PROCEDURE tcm_prognostic |
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203 | MODULE PROCEDURE tcm_prognostic_ij |
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204 | END INTERFACE tcm_prognostic |
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205 | |
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206 | ! |
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207 | !-- Production term for TKE |
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208 | INTERFACE production_e |
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209 | MODULE PROCEDURE production_e |
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210 | MODULE PROCEDURE production_e_ij |
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211 | END INTERFACE production_e |
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212 | |
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213 | ! |
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214 | !-- Diffusion term for TKE |
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215 | INTERFACE diffusion_e |
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216 | MODULE PROCEDURE diffusion_e |
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217 | MODULE PROCEDURE diffusion_e_ij |
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218 | END INTERFACE diffusion_e |
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219 | |
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220 | ! |
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221 | !-- Diffusion term for TKE dissipation rate |
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222 | INTERFACE diffusion_diss |
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223 | MODULE PROCEDURE diffusion_diss |
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224 | MODULE PROCEDURE diffusion_diss_ij |
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225 | END INTERFACE diffusion_diss |
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226 | |
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227 | ! |
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228 | !-- Mixing length for LES case |
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229 | INTERFACE mixing_length_les |
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230 | MODULE PROCEDURE mixing_length_les |
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231 | END INTERFACE mixing_length_les |
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232 | |
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233 | ! |
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234 | !-- Mixing length for RANS case |
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235 | INTERFACE mixing_length_rans |
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236 | MODULE PROCEDURE mixing_length_rans |
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237 | END INTERFACE mixing_length_rans |
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238 | |
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239 | ! |
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240 | !-- Calculate diffusivities |
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241 | INTERFACE tcm_diffusivities |
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242 | MODULE PROCEDURE tcm_diffusivities |
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243 | END INTERFACE tcm_diffusivities |
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244 | |
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245 | ! |
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246 | !-- Swapping of time levels (required for prognostic variables) |
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247 | INTERFACE tcm_swap_timelevel |
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248 | MODULE PROCEDURE tcm_swap_timelevel |
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249 | END INTERFACE tcm_swap_timelevel |
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250 | |
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251 | SAVE |
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252 | |
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253 | PRIVATE |
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254 | ! |
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255 | !-- Add INTERFACES that must be available to other modules (alphabetical order) |
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256 | PUBLIC production_e_init, tcm_3d_data_averaging, tcm_check_data_output, & |
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257 | tcm_check_parameters, tcm_data_output_2d, tcm_data_output_3d, & |
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258 | tcm_define_netcdf_grid, tcm_diffusivities, tcm_init, & |
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259 | tcm_init_arrays, tcm_prognostic, tcm_swap_timelevel |
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260 | |
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261 | |
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262 | CONTAINS |
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263 | |
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264 | !------------------------------------------------------------------------------! |
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265 | ! Description: |
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266 | ! ------------ |
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267 | !> Check parameters routine for turbulence closure module. |
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268 | !------------------------------------------------------------------------------! |
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269 | SUBROUTINE tcm_check_parameters |
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270 | |
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271 | USE control_parameters, & |
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272 | ONLY: message_string, neutral, turbulent_inflow, turbulent_outflow |
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273 | |
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274 | IMPLICIT NONE |
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275 | |
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276 | ! |
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277 | !-- Define which turbulence closure is going to be used |
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278 | IF ( rans_mode ) THEN |
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279 | |
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280 | c_m = 0.4_wp !according to Detering and Etling (1985) |
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281 | |
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282 | SELECT CASE ( TRIM( turbulence_closure ) ) |
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283 | |
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284 | CASE ( 'TKE-l' ) |
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285 | rans_tke_l = .TRUE. |
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286 | |
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287 | CASE ( 'TKE-e' ) |
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288 | rans_tke_e = .TRUE. |
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289 | |
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290 | IF ( INDEX( initializing_actions, 'set_1d-model_profiles' ) & |
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291 | == 0 ) THEN |
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292 | message_string = 'Initializing without 1D model while ' // & |
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293 | 'using TKE-e closure&' // & |
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294 | 'is not possible at the moment!' |
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295 | CALL message( 'tcm_check_parameters', 'TG0005', 1, 2, 0, 6, 0 ) |
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296 | ENDIF |
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297 | |
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298 | CASE DEFAULT |
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299 | message_string = 'Unknown turbulence closure: ' // & |
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300 | TRIM( turbulence_closure ) |
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301 | CALL message( 'tcm_check_parameters', 'TG0001', 1, 2, 0, 6, 0 ) |
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302 | |
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303 | END SELECT |
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304 | |
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305 | message_string = 'RANS mode is still in development! ' // & |
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306 | '&Not all features of PALM are yet compatible '// & |
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307 | 'with RANS mode. &Use at own risk!' |
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308 | CALL message( 'tcm_check_parameters', 'TG0003', 0, 1, 0, 6, 0 ) |
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309 | |
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310 | ELSE |
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311 | |
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312 | c_m = 0.1_wp !according to Lilly (1967) and Deardorff (1980) |
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313 | |
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314 | SELECT CASE ( TRIM( turbulence_closure ) ) |
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315 | |
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316 | CASE ( 'Moeng_Wyngaard' ) |
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317 | les_mw = .TRUE. |
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318 | |
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319 | CASE DEFAULT |
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320 | message_string = 'Unknown turbulence closure: ' // & |
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321 | TRIM( turbulence_closure ) |
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322 | CALL message( 'tcm_check_parameters', 'TG0001', 1, 2, 0, 6, 0 ) |
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323 | |
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324 | END SELECT |
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325 | |
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326 | ENDIF |
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327 | |
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328 | IF ( rans_tke_e ) THEN |
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329 | |
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330 | IF ( turbulent_inflow .OR. turbulent_outflow ) THEN |
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331 | message_string = 'turbulent inflow/outflow is not yet '// & |
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332 | 'implemented for TKE-e closure' |
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333 | CALL message( 'tcm_check_parameters', 'TG0002', 1, 2, 0, 6, 0 ) |
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334 | ENDIF |
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335 | |
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336 | ENDIF |
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337 | |
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338 | END SUBROUTINE tcm_check_parameters |
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339 | |
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340 | !------------------------------------------------------------------------------! |
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341 | ! Description: |
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342 | ! ------------ |
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343 | !> Check data output. |
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344 | !------------------------------------------------------------------------------! |
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345 | SUBROUTINE tcm_check_data_output( var, unit, i, ilen, k ) |
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346 | |
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347 | USE control_parameters, & |
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348 | ONLY: data_output, message_string |
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349 | |
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350 | IMPLICIT NONE |
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351 | |
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352 | CHARACTER (LEN=*) :: unit !< |
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353 | CHARACTER (LEN=*) :: var !< |
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354 | |
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355 | INTEGER(iwp) :: i !< |
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356 | INTEGER(iwp) :: ilen !< |
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357 | INTEGER(iwp) :: k !< |
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358 | |
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359 | SELECT CASE ( TRIM( var ) ) |
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360 | |
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361 | CASE ( 'diss' ) |
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362 | IF ( .NOT. rans_tke_e ) THEN |
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363 | message_string = 'output of "' // TRIM( var ) // '" requi' // & |
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364 | 'res TKE-e closure for RANS mode.' |
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365 | CALL message( 'tcm_check_data_output', 'TG0101', 1, 2, 0, 6, 0 ) |
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366 | ENDIF |
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367 | unit = 'm2/s3' |
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368 | |
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369 | CASE ( 'dummy2', 'dummy3', 'dummy1' ) |
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370 | unit = '?' |
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371 | |
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372 | CASE ( 'kh', 'km' ) |
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373 | unit = 'm2/s' |
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374 | |
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375 | CASE DEFAULT |
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376 | unit = 'illegal' |
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377 | |
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378 | END SELECT |
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379 | |
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380 | END SUBROUTINE tcm_check_data_output |
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381 | |
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382 | |
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383 | !------------------------------------------------------------------------------! |
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384 | ! Description: |
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385 | ! ------------ |
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386 | !> Define appropriate grid for netcdf variables. |
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387 | !> It is called out from subroutine netcdf. |
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388 | !------------------------------------------------------------------------------! |
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389 | SUBROUTINE tcm_define_netcdf_grid( var, found, grid_x, grid_y, grid_z ) |
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390 | |
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391 | IMPLICIT NONE |
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392 | |
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393 | CHARACTER (LEN=*), INTENT(OUT) :: grid_x !< |
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394 | CHARACTER (LEN=*), INTENT(OUT) :: grid_y !< |
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395 | CHARACTER (LEN=*), INTENT(OUT) :: grid_z !< |
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396 | CHARACTER (LEN=*), INTENT(IN) :: var !< |
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397 | |
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398 | LOGICAL, INTENT(OUT) :: found !< |
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399 | |
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400 | found = .TRUE. |
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401 | |
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402 | ! |
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403 | !-- Check for the grid |
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404 | SELECT CASE ( TRIM( var ) ) |
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405 | |
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406 | CASE ( 'diss', 'diss_xy', 'diss_xz', 'diss_yz' ) |
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407 | grid_x = 'x' |
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408 | grid_y = 'y' |
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409 | grid_z = 'zu' |
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410 | |
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411 | CASE ( 'dummy2', 'dummy3', 'dummy1' ) !### remove later |
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412 | grid_x = 'x' |
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413 | grid_y = 'y' |
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414 | grid_z = 'zu' |
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415 | |
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416 | CASE ( 'kh', 'kh_xy', 'kh_xz', 'kh_yz' ) |
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417 | grid_x = 'x' |
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418 | grid_y = 'y' |
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419 | grid_z = 'zu' |
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420 | |
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421 | CASE ( 'km', 'km_xy', 'km_xz', 'km_yz' ) |
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422 | grid_x = 'x' |
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423 | grid_y = 'y' |
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424 | grid_z = 'zu' |
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425 | |
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426 | CASE DEFAULT |
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427 | found = .FALSE. |
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428 | grid_x = 'none' |
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429 | grid_y = 'none' |
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430 | grid_z = 'none' |
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431 | |
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432 | END SELECT |
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433 | |
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434 | END SUBROUTINE tcm_define_netcdf_grid |
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435 | |
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436 | |
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437 | !------------------------------------------------------------------------------! |
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438 | ! Description: |
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439 | ! ------------ |
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440 | !> Average 3D data. |
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441 | !------------------------------------------------------------------------------! |
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442 | SUBROUTINE tcm_3d_data_averaging( mode, variable ) |
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443 | |
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444 | |
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445 | USE averaging, & |
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446 | ONLY: diss_av, kh_av, km_av |
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447 | |
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448 | USE control_parameters, & |
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449 | ONLY: average_count_3d |
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450 | |
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451 | IMPLICIT NONE |
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452 | |
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453 | CHARACTER (LEN=*) :: mode !< |
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454 | CHARACTER (LEN=*) :: variable !< |
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455 | |
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456 | INTEGER(iwp) :: i !< |
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457 | INTEGER(iwp) :: j !< |
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458 | INTEGER(iwp) :: k !< |
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459 | |
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460 | IF ( mode == 'allocate' ) THEN |
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461 | |
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462 | SELECT CASE ( TRIM( variable ) ) |
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463 | |
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464 | CASE ( 'diss' ) |
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465 | IF ( .NOT. ALLOCATED( diss_av ) ) THEN |
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466 | ALLOCATE( diss_av(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
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467 | ENDIF |
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468 | diss_av = 0.0_wp |
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469 | |
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470 | CASE ( 'kh' ) |
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471 | IF ( .NOT. ALLOCATED( kh_av ) ) THEN |
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472 | ALLOCATE( kh_av(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
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473 | ENDIF |
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474 | kh_av = 0.0_wp |
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475 | |
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476 | CASE ( 'km' ) |
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477 | IF ( .NOT. ALLOCATED( km_av ) ) THEN |
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478 | ALLOCATE( km_av(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
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479 | ENDIF |
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480 | km_av = 0.0_wp |
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481 | |
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482 | CASE DEFAULT |
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483 | CONTINUE |
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484 | |
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485 | END SELECT |
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486 | |
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487 | ELSEIF ( mode == 'sum' ) THEN |
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488 | |
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489 | SELECT CASE ( TRIM( variable ) ) |
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490 | |
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491 | CASE ( 'diss' ) |
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492 | DO i = nxlg, nxrg |
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493 | DO j = nysg, nyng |
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494 | DO k = nzb, nzt+1 |
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495 | diss_av(k,j,i) = diss_av(k,j,i) + diss(k,j,i) |
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496 | ENDDO |
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497 | ENDDO |
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498 | ENDDO |
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499 | |
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500 | CASE ( 'kh' ) |
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501 | DO i = nxlg, nxrg |
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502 | DO j = nysg, nyng |
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503 | DO k = nzb, nzt+1 |
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504 | kh_av(k,j,i) = kh_av(k,j,i) + kh(k,j,i) |
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505 | ENDDO |
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506 | ENDDO |
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507 | ENDDO |
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508 | |
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509 | CASE ( 'km' ) |
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510 | DO i = nxlg, nxrg |
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511 | DO j = nysg, nyng |
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512 | DO k = nzb, nzt+1 |
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513 | km_av(k,j,i) = km_av(k,j,i) + km(k,j,i) |
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514 | ENDDO |
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515 | ENDDO |
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516 | ENDDO |
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517 | |
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518 | CASE DEFAULT |
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519 | CONTINUE |
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520 | |
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521 | END SELECT |
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522 | |
---|
523 | ELSEIF ( mode == 'average' ) THEN |
---|
524 | |
---|
525 | SELECT CASE ( TRIM( variable ) ) |
---|
526 | |
---|
527 | CASE ( 'diss' ) |
---|
528 | DO i = nxlg, nxrg |
---|
529 | DO j = nysg, nyng |
---|
530 | DO k = nzb, nzt+1 |
---|
531 | diss_av(k,j,i) = diss_av(k,j,i) & |
---|
532 | / REAL( average_count_3d, KIND=wp ) |
---|
533 | ENDDO |
---|
534 | ENDDO |
---|
535 | ENDDO |
---|
536 | |
---|
537 | CASE ( 'kh' ) |
---|
538 | DO i = nxlg, nxrg |
---|
539 | DO j = nysg, nyng |
---|
540 | DO k = nzb, nzt+1 |
---|
541 | kh_av(k,j,i) = kh_av(k,j,i) & |
---|
542 | / REAL( average_count_3d, KIND=wp ) |
---|
543 | ENDDO |
---|
544 | ENDDO |
---|
545 | ENDDO |
---|
546 | |
---|
547 | CASE ( 'km' ) |
---|
548 | DO i = nxlg, nxrg |
---|
549 | DO j = nysg, nyng |
---|
550 | DO k = nzb, nzt+1 |
---|
551 | km_av(k,j,i) = km_av(k,j,i) & |
---|
552 | / REAL( average_count_3d, KIND=wp ) |
---|
553 | ENDDO |
---|
554 | ENDDO |
---|
555 | ENDDO |
---|
556 | |
---|
557 | END SELECT |
---|
558 | |
---|
559 | ENDIF |
---|
560 | |
---|
561 | END SUBROUTINE tcm_3d_data_averaging |
---|
562 | |
---|
563 | |
---|
564 | !------------------------------------------------------------------------------! |
---|
565 | ! Description: |
---|
566 | ! ------------ |
---|
567 | !> Define 2D output variables. |
---|
568 | !------------------------------------------------------------------------------! |
---|
569 | SUBROUTINE tcm_data_output_2d( av, variable, found, grid, mode, local_pf, & |
---|
570 | two_d, nzb_do, nzt_do ) |
---|
571 | |
---|
572 | USE averaging, & |
---|
573 | ONLY: diss_av, kh_av, km_av |
---|
574 | |
---|
575 | IMPLICIT NONE |
---|
576 | |
---|
577 | CHARACTER (LEN=*) :: grid !< |
---|
578 | CHARACTER (LEN=*) :: mode !< |
---|
579 | CHARACTER (LEN=*) :: variable !< |
---|
580 | |
---|
581 | INTEGER(iwp) :: av !< |
---|
582 | INTEGER(iwp) :: i !< |
---|
583 | INTEGER(iwp) :: j !< |
---|
584 | INTEGER(iwp) :: k !< |
---|
585 | INTEGER(iwp) :: nzb_do !< |
---|
586 | INTEGER(iwp) :: nzt_do !< |
---|
587 | |
---|
588 | LOGICAL :: found !< |
---|
589 | LOGICAL :: two_d !< flag parameter that indicates 2D variables (horizontal cross sections) |
---|
590 | |
---|
591 | REAL(wp), DIMENSION(nxl:nxr,nys:nyn,nzb:nzt+1) :: local_pf !< local |
---|
592 | !< array to which output data is resorted to |
---|
593 | |
---|
594 | found = .TRUE. |
---|
595 | |
---|
596 | SELECT CASE ( TRIM( variable ) ) |
---|
597 | |
---|
598 | |
---|
599 | CASE ( 'diss_xy', 'diss_xz', 'diss_yz' ) |
---|
600 | IF ( av == 0 ) THEN |
---|
601 | DO i = nxl, nxr |
---|
602 | DO j = nys, nyn |
---|
603 | DO k = nzb_do, nzt_do |
---|
604 | local_pf(i,j,k) = diss(k,j,i) |
---|
605 | ENDDO |
---|
606 | ENDDO |
---|
607 | ENDDO |
---|
608 | ELSE |
---|
609 | DO i = nxl, nxr |
---|
610 | DO j = nys, nyn |
---|
611 | DO k = nzb_do, nzt_do |
---|
612 | local_pf(i,j,k) = diss_av(k,j,i) |
---|
613 | ENDDO |
---|
614 | ENDDO |
---|
615 | ENDDO |
---|
616 | ENDIF |
---|
617 | |
---|
618 | IF ( mode == 'xy' ) grid = 'zu' |
---|
619 | |
---|
620 | CASE ( 'kh_xy', 'kh_xz', 'kh_yz' ) |
---|
621 | IF ( av == 0 ) THEN |
---|
622 | DO i = nxl, nxr |
---|
623 | DO j = nys, nyn |
---|
624 | DO k = nzb_do, nzt_do |
---|
625 | local_pf(i,j,k) = kh(k,j,i) |
---|
626 | ENDDO |
---|
627 | ENDDO |
---|
628 | ENDDO |
---|
629 | ELSE |
---|
630 | DO i = nxl, nxr |
---|
631 | DO j = nys, nyn |
---|
632 | DO k = nzb_do, nzt_do |
---|
633 | local_pf(i,j,k) = kh_av(k,j,i) |
---|
634 | ENDDO |
---|
635 | ENDDO |
---|
636 | ENDDO |
---|
637 | ENDIF |
---|
638 | |
---|
639 | IF ( mode == 'xy' ) grid = 'zu' |
---|
640 | |
---|
641 | CASE ( 'km_xy', 'km_xz', 'km_yz' ) |
---|
642 | IF ( av == 0 ) THEN |
---|
643 | DO i = nxl, nxr |
---|
644 | DO j = nys, nyn |
---|
645 | DO k = nzb_do, nzt_do |
---|
646 | local_pf(i,j,k) = km(k,j,i) |
---|
647 | ENDDO |
---|
648 | ENDDO |
---|
649 | ENDDO |
---|
650 | ELSE |
---|
651 | DO i = nxl, nxr |
---|
652 | DO j = nys, nyn |
---|
653 | DO k = nzb_do, nzt_do |
---|
654 | local_pf(i,j,k) = km_av(k,j,i) |
---|
655 | ENDDO |
---|
656 | ENDDO |
---|
657 | ENDDO |
---|
658 | ENDIF |
---|
659 | |
---|
660 | IF ( mode == 'xy' ) grid = 'zu' |
---|
661 | |
---|
662 | CASE DEFAULT |
---|
663 | found = .FALSE. |
---|
664 | grid = 'none' |
---|
665 | |
---|
666 | END SELECT |
---|
667 | |
---|
668 | END SUBROUTINE tcm_data_output_2d |
---|
669 | |
---|
670 | |
---|
671 | !------------------------------------------------------------------------------! |
---|
672 | ! Description: |
---|
673 | ! ------------ |
---|
674 | !> Define 3D output variables. |
---|
675 | !------------------------------------------------------------------------------! |
---|
676 | SUBROUTINE tcm_data_output_3d( av, variable, found, local_pf ) |
---|
677 | |
---|
678 | |
---|
679 | USE averaging, & |
---|
680 | ONLY: diss_av, kh_av, km_av |
---|
681 | |
---|
682 | IMPLICIT NONE |
---|
683 | |
---|
684 | CHARACTER (LEN=*) :: variable !< |
---|
685 | |
---|
686 | INTEGER(iwp) :: av !< |
---|
687 | INTEGER(iwp) :: i !< |
---|
688 | INTEGER(iwp) :: j !< |
---|
689 | INTEGER(iwp) :: k !< |
---|
690 | |
---|
691 | LOGICAL :: found !< |
---|
692 | |
---|
693 | REAL(sp), DIMENSION(nxl:nxr,nys:nyn,nzb:nzt+1) :: local_pf !< local |
---|
694 | !< array to which output data is resorted to |
---|
695 | |
---|
696 | |
---|
697 | found = .TRUE. |
---|
698 | |
---|
699 | |
---|
700 | SELECT CASE ( TRIM( variable ) ) |
---|
701 | |
---|
702 | |
---|
703 | CASE ( 'diss' ) |
---|
704 | IF ( av == 0 ) THEN |
---|
705 | DO i = nxl, nxr |
---|
706 | DO j = nys, nyn |
---|
707 | DO k = nzb, nzt+1 |
---|
708 | local_pf(i,j,k) = diss(k,j,i) |
---|
709 | ENDDO |
---|
710 | ENDDO |
---|
711 | ENDDO |
---|
712 | ELSE |
---|
713 | DO i = nxl, nxr |
---|
714 | DO j = nys, nyn |
---|
715 | DO k = nzb, nzt+1 |
---|
716 | local_pf(i,j,k) = diss_av(k,j,i) |
---|
717 | ENDDO |
---|
718 | ENDDO |
---|
719 | ENDDO |
---|
720 | ENDIF |
---|
721 | |
---|
722 | CASE ( 'kh' ) |
---|
723 | IF ( av == 0 ) THEN |
---|
724 | DO i = nxl, nxr |
---|
725 | DO j = nys, nyn |
---|
726 | DO k = nzb, nzt+1 |
---|
727 | local_pf(i,j,k) = kh(k,j,i) |
---|
728 | ENDDO |
---|
729 | ENDDO |
---|
730 | ENDDO |
---|
731 | ELSE |
---|
732 | DO i = nxl, nxr |
---|
733 | DO j = nys, nyn |
---|
734 | DO k = nzb, nzt+1 |
---|
735 | local_pf(i,j,k) = kh_av(k,j,i) |
---|
736 | ENDDO |
---|
737 | ENDDO |
---|
738 | ENDDO |
---|
739 | ENDIF |
---|
740 | |
---|
741 | CASE ( 'km' ) |
---|
742 | IF ( av == 0 ) THEN |
---|
743 | DO i = nxl, nxr |
---|
744 | DO j = nys, nyn |
---|
745 | DO k = nzb, nzt+1 |
---|
746 | local_pf(i,j,k) = km(k,j,i) |
---|
747 | ENDDO |
---|
748 | ENDDO |
---|
749 | ENDDO |
---|
750 | ELSE |
---|
751 | DO i = nxl, nxr |
---|
752 | DO j = nys, nyn |
---|
753 | DO k = nzb, nzt+1 |
---|
754 | local_pf(i,j,k) = km_av(k,j,i) |
---|
755 | ENDDO |
---|
756 | ENDDO |
---|
757 | ENDDO |
---|
758 | ENDIF |
---|
759 | |
---|
760 | CASE ( 'dummy1' ) !### remove later |
---|
761 | IF ( av == 0 ) THEN |
---|
762 | DO i = nxl, nxr |
---|
763 | DO j = nys, nyn |
---|
764 | DO k = nzb, nzt+1 |
---|
765 | local_pf(i,j,k) = dummy1(k,j,i) |
---|
766 | ENDDO |
---|
767 | ENDDO |
---|
768 | ENDDO |
---|
769 | ENDIF |
---|
770 | |
---|
771 | CASE ( 'dummy2' ) !### remove later |
---|
772 | IF ( av == 0 ) THEN |
---|
773 | DO i = nxl, nxr |
---|
774 | DO j = nys, nyn |
---|
775 | DO k = nzb, nzt+1 |
---|
776 | local_pf(i,j,k) = dummy2(k,j,i) |
---|
777 | ENDDO |
---|
778 | ENDDO |
---|
779 | ENDDO |
---|
780 | ENDIF |
---|
781 | |
---|
782 | CASE ( 'dummy3' ) !### remove later |
---|
783 | IF ( av == 0 ) THEN |
---|
784 | DO i = nxl, nxr |
---|
785 | DO j = nys, nyn |
---|
786 | DO k = nzb, nzt+1 |
---|
787 | local_pf(i,j,k) = dummy3(k,j,i) |
---|
788 | ENDDO |
---|
789 | ENDDO |
---|
790 | ENDDO |
---|
791 | ENDIF |
---|
792 | |
---|
793 | CASE DEFAULT |
---|
794 | found = .FALSE. |
---|
795 | |
---|
796 | END SELECT |
---|
797 | |
---|
798 | END SUBROUTINE tcm_data_output_3d |
---|
799 | |
---|
800 | |
---|
801 | !------------------------------------------------------------------------------! |
---|
802 | ! Description: |
---|
803 | ! ------------ |
---|
804 | !> Allocate arrays and assign pointers. |
---|
805 | !------------------------------------------------------------------------------! |
---|
806 | SUBROUTINE tcm_init_arrays |
---|
807 | |
---|
808 | USE microphysics_mod, & |
---|
809 | ONLY: collision_turbulence |
---|
810 | |
---|
811 | USE particle_attributes, & |
---|
812 | ONLY: use_sgs_for_particles, wang_kernel |
---|
813 | |
---|
814 | IMPLICIT NONE |
---|
815 | |
---|
816 | ALLOCATE( kh(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
817 | ALLOCATE( km(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
818 | |
---|
819 | ALLOCATE( dummy1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) !### remove later |
---|
820 | ALLOCATE( dummy2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
821 | ALLOCATE( dummy3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
822 | |
---|
823 | IF ( rans_mode ) ALLOCATE( l_black(nzb:nzt+1) ) |
---|
824 | |
---|
825 | #if defined( __nopointer ) |
---|
826 | ALLOCATE( e(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
827 | ALLOCATE( e_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
828 | ALLOCATE( te_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
829 | |
---|
830 | #else |
---|
831 | ALLOCATE( e_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
832 | ALLOCATE( e_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
833 | ALLOCATE( e_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
834 | #endif |
---|
835 | |
---|
836 | IF ( rans_tke_e .OR. use_sgs_for_particles .OR. wang_kernel .OR. & |
---|
837 | collision_turbulence ) THEN |
---|
838 | #if defined( __nopointer ) |
---|
839 | ALLOCATE( diss(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
840 | IF ( rans_tke_e ) THEN |
---|
841 | ALLOCATE( diss_p(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
842 | ALLOCATE( tdiss_m(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
843 | ENDIF |
---|
844 | #else |
---|
845 | ALLOCATE( diss_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
846 | IF ( rans_tke_e ) THEN |
---|
847 | ALLOCATE( diss_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
848 | ALLOCATE( diss_3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
849 | ENDIF |
---|
850 | #endif |
---|
851 | ENDIF |
---|
852 | |
---|
853 | #if ! defined( __nopointer ) |
---|
854 | ! |
---|
855 | !-- Initial assignment of pointers |
---|
856 | e => e_1; e_p => e_2; te_m => e_3 |
---|
857 | |
---|
858 | IF ( rans_tke_e .OR. use_sgs_for_particles .OR. & |
---|
859 | wang_kernel .OR. collision_turbulence ) THEN |
---|
860 | diss => diss_1 |
---|
861 | IF ( rans_tke_e ) THEN |
---|
862 | diss_p => diss_2; tdiss_m => diss_3 |
---|
863 | ENDIF |
---|
864 | ENDIF |
---|
865 | #endif |
---|
866 | |
---|
867 | END SUBROUTINE tcm_init_arrays |
---|
868 | |
---|
869 | |
---|
870 | !------------------------------------------------------------------------------! |
---|
871 | ! Description: |
---|
872 | ! ------------ |
---|
873 | !> Initialization of turbulence closure module. |
---|
874 | !------------------------------------------------------------------------------! |
---|
875 | SUBROUTINE tcm_init |
---|
876 | |
---|
877 | USE arrays_3d, & |
---|
878 | ONLY: ug, vg, zu |
---|
879 | |
---|
880 | USE control_parameters, & |
---|
881 | ONLY: complex_terrain, f, kappa, dissipation_1d, topography |
---|
882 | |
---|
883 | USE model_1d_mod, & |
---|
884 | ONLY: diss1d, e1d, kh1d, km1d, l1d |
---|
885 | |
---|
886 | USE surface_mod, & |
---|
887 | ONLY: get_topography_top_index_ji |
---|
888 | |
---|
889 | IMPLICIT NONE |
---|
890 | |
---|
891 | INTEGER(iwp) :: i !< loop index |
---|
892 | INTEGER(iwp) :: j !< loop index |
---|
893 | INTEGER(iwp) :: k !< loop index |
---|
894 | INTEGER(iwp) :: nz_s_shift !< |
---|
895 | INTEGER(iwp) :: nz_s_shift_l !< |
---|
896 | |
---|
897 | ! |
---|
898 | !-- Actions for initial runs |
---|
899 | IF ( TRIM( initializing_actions ) /= 'read_restart_data' .AND. & |
---|
900 | TRIM( initializing_actions ) /= 'cyclic_fill' ) THEN |
---|
901 | |
---|
902 | IF ( INDEX( initializing_actions, 'set_1d-model_profiles' ) /= 0 ) THEN |
---|
903 | ! |
---|
904 | !-- Transfer initial profiles to the arrays of the 3D model |
---|
905 | DO i = nxlg, nxrg |
---|
906 | DO j = nysg, nyng |
---|
907 | e(:,j,i) = e1d |
---|
908 | kh(:,j,i) = kh1d |
---|
909 | km(:,j,i) = km1d |
---|
910 | ENDDO |
---|
911 | ENDDO |
---|
912 | |
---|
913 | IF ( constant_diffusion ) THEN |
---|
914 | e = 0.0_wp |
---|
915 | ENDIF |
---|
916 | |
---|
917 | IF ( rans_tke_e ) THEN |
---|
918 | IF ( dissipation_1d == 'prognostic' ) THEN !### Why must this be checked? |
---|
919 | DO i = nxlg, nxrg !### Should 'diss' not always |
---|
920 | DO j = nysg, nyng !### be prognostic in case rans_tke_e? |
---|
921 | diss(:,j,i) = diss1d |
---|
922 | ENDDO |
---|
923 | ENDDO |
---|
924 | ELSE |
---|
925 | DO i = nxlg, nxrg |
---|
926 | DO j = nysg, nyng |
---|
927 | DO k = nzb+1, nzt |
---|
928 | diss(k,j,i) = e(k,j,i) * SQRT( e(k,j,i) ) / l1d(k) |
---|
929 | ENDDO |
---|
930 | ENDDO |
---|
931 | ENDDO |
---|
932 | ENDIF |
---|
933 | ENDIF |
---|
934 | |
---|
935 | ELSEIF ( INDEX(initializing_actions, 'set_constant_profiles') /= 0 .OR. & |
---|
936 | INDEX( initializing_actions, 'inifor' ) /= 0 ) THEN |
---|
937 | |
---|
938 | IF ( constant_diffusion ) THEN |
---|
939 | km = km_constant |
---|
940 | kh = km / prandtl_number |
---|
941 | e = 0.0_wp |
---|
942 | ELSEIF ( e_init > 0.0_wp ) THEN |
---|
943 | DO k = nzb+1, nzt |
---|
944 | km(k,:,:) = c_m * l_grid(k) * SQRT( e_init ) |
---|
945 | ENDDO |
---|
946 | km(nzb,:,:) = km(nzb+1,:,:) |
---|
947 | km(nzt+1,:,:) = km(nzt,:,:) |
---|
948 | kh = km / prandtl_number |
---|
949 | e = e_init |
---|
950 | ELSE |
---|
951 | IF ( .NOT. ocean ) THEN |
---|
952 | kh = 0.01_wp ! there must exist an initial diffusion, because |
---|
953 | km = 0.01_wp ! otherwise no TKE would be produced by the |
---|
954 | ! production terms, as long as not yet |
---|
955 | ! e = (u*/cm)**2 at k=nzb+1 |
---|
956 | ELSE |
---|
957 | kh = 0.00001_wp |
---|
958 | km = 0.00001_wp |
---|
959 | ENDIF |
---|
960 | e = 0.0_wp |
---|
961 | ENDIF |
---|
962 | |
---|
963 | ENDIF |
---|
964 | ! |
---|
965 | !-- Store initial profiles for output purposes etc. |
---|
966 | hom(:,1,23,:) = SPREAD( km(:,nys,nxl), 2, statistic_regions+1 ) |
---|
967 | hom(:,1,24,:) = SPREAD( kh(:,nys,nxl), 2, statistic_regions+1 ) |
---|
968 | ! |
---|
969 | !-- Initialize old and new time levels. |
---|
970 | te_m = 0.0_wp |
---|
971 | e_p = e |
---|
972 | IF ( rans_tke_e ) THEN |
---|
973 | tdiss_m = 0.0_wp |
---|
974 | diss_p = diss |
---|
975 | ENDIF |
---|
976 | |
---|
977 | ELSEIF ( TRIM( initializing_actions ) == 'read_restart_data' .OR. & |
---|
978 | TRIM( initializing_actions ) == 'cyclic_fill' ) & |
---|
979 | THEN |
---|
980 | |
---|
981 | ! |
---|
982 | !-- In case of complex terrain and cyclic fill method as initialization, |
---|
983 | !-- shift initial data in the vertical direction for each point in the |
---|
984 | !-- x-y-plane depending on local surface height |
---|
985 | IF ( complex_terrain .AND. & |
---|
986 | TRIM( initializing_actions ) == 'cyclic_fill' ) THEN |
---|
987 | DO i = nxlg, nxrg |
---|
988 | DO j = nysg, nyng |
---|
989 | nz_s_shift = get_topography_top_index_ji( j, i, 's' ) |
---|
990 | |
---|
991 | e(nz_s_shift:nzt+1,j,i) = e(0:nzt+1-nz_s_shift,j,i) |
---|
992 | km(nz_s_shift:nzt+1,j,i) = km(0:nzt+1-nz_s_shift,j,i) |
---|
993 | kh(nz_s_shift:nzt+1,j,i) = kh(0:nzt+1-nz_s_shift,j,i) |
---|
994 | ENDDO |
---|
995 | ENDDO |
---|
996 | ENDIF |
---|
997 | |
---|
998 | ! |
---|
999 | !-- Initialization of the turbulence recycling method |
---|
1000 | IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. & |
---|
1001 | turbulent_inflow ) THEN |
---|
1002 | mean_inflow_profiles(:,5) = hom_sum(:,8,0) ! e |
---|
1003 | ! |
---|
1004 | !-- In case of complex terrain, determine vertical displacement at inflow |
---|
1005 | !-- boundary and adjust mean inflow profiles |
---|
1006 | IF ( complex_terrain ) THEN |
---|
1007 | IF ( nxlg <= 0 .AND. nxrg >= 0 .AND. nysg <= 0 .AND. nyng >= 0 ) THEN |
---|
1008 | nz_s_shift_l = get_topography_top_index_ji( 0, 0, 's' ) |
---|
1009 | ELSE |
---|
1010 | nz_s_shift_l = 0 |
---|
1011 | ENDIF |
---|
1012 | #if defined( __parallel ) |
---|
1013 | CALL MPI_ALLREDUCE(nz_s_shift_l, nz_s_shift, 1, MPI_INTEGER, & |
---|
1014 | MPI_MAX, comm2d, ierr) |
---|
1015 | #else |
---|
1016 | nz_s_shift = nz_s_shift_l |
---|
1017 | #endif |
---|
1018 | mean_inflow_profiles(nz_s_shift:nzt+1,5) = hom_sum(0:nzt+1-nz_s_shift,8,0) ! e |
---|
1019 | ENDIF |
---|
1020 | ! |
---|
1021 | !-- Use these mean profiles at the inflow (provided that Dirichlet |
---|
1022 | !-- conditions are used) |
---|
1023 | IF ( inflow_l ) THEN |
---|
1024 | DO j = nysg, nyng |
---|
1025 | DO k = nzb, nzt+1 |
---|
1026 | e(k,j,nxlg:-1) = mean_inflow_profiles(k,5) |
---|
1027 | ENDDO |
---|
1028 | ENDDO |
---|
1029 | ENDIF |
---|
1030 | ENDIF |
---|
1031 | ! |
---|
1032 | !-- Inside buildings set TKE back to zero |
---|
1033 | IF ( TRIM( initializing_actions ) == 'cyclic_fill' .AND. & |
---|
1034 | topography /= 'flat' ) THEN |
---|
1035 | ! |
---|
1036 | !-- Inside buildings set TKE back to zero. |
---|
1037 | !-- Other scalars (km, kh, diss, ...) are ignored at present, |
---|
1038 | !-- maybe revise later. |
---|
1039 | DO i = nxlg, nxrg |
---|
1040 | DO j = nysg, nyng |
---|
1041 | DO k = nzb, nzt |
---|
1042 | e(k,j,i) = MERGE( e(k,j,i), 0.0_wp, & |
---|
1043 | BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
1044 | te_m(k,j,i) = MERGE( te_m(k,j,i), 0.0_wp, & |
---|
1045 | BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
1046 | ENDDO |
---|
1047 | ENDDO |
---|
1048 | ENDDO |
---|
1049 | |
---|
1050 | ENDIF |
---|
1051 | ! |
---|
1052 | !-- Initialize new time levels (only done in order to set boundary values |
---|
1053 | !-- including ghost points) |
---|
1054 | e_p = e |
---|
1055 | ! |
---|
1056 | !-- Allthough tendency arrays are set in prognostic_equations, they have |
---|
1057 | !-- have to be predefined here because they are used (but multiplied with 0) |
---|
1058 | !-- there before they are set. |
---|
1059 | te_m = 0.0_wp |
---|
1060 | |
---|
1061 | ENDIF |
---|
1062 | |
---|
1063 | ! |
---|
1064 | !-- Calculate mixing length according to Blackadar (1962) |
---|
1065 | IF ( rans_mode ) THEN |
---|
1066 | |
---|
1067 | IF ( f /= 0.0_wp ) THEN |
---|
1068 | l_max = 2.7E-4 * SQRT( ug(nzt+1)**2 + vg(nzt+1)**2 ) / & |
---|
1069 | ABS( f ) + 1E-10_wp |
---|
1070 | ELSE |
---|
1071 | l_max = 30.0_wp |
---|
1072 | ENDIF |
---|
1073 | |
---|
1074 | DO k = nzb, nzt |
---|
1075 | l_black(k) = kappa * zu(k) / ( 1.0_wp + kappa * zu(k) / l_max ) |
---|
1076 | ENDDO |
---|
1077 | |
---|
1078 | l_black(nzt+1) = l_black(nzt) |
---|
1079 | |
---|
1080 | ENDIF |
---|
1081 | |
---|
1082 | END SUBROUTINE tcm_init |
---|
1083 | |
---|
1084 | |
---|
1085 | !------------------------------------------------------------------------------! |
---|
1086 | ! Description: |
---|
1087 | ! ------------ |
---|
1088 | !> Initialize virtual velocities used later in production_e. |
---|
1089 | !------------------------------------------------------------------------------! |
---|
1090 | SUBROUTINE production_e_init |
---|
1091 | |
---|
1092 | USE arrays_3d, & |
---|
1093 | ONLY: drho_air_zw, zu |
---|
1094 | |
---|
1095 | USE control_parameters, & |
---|
1096 | ONLY: constant_flux_layer |
---|
1097 | |
---|
1098 | USE surface_mod, & |
---|
1099 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_usm_h |
---|
1100 | |
---|
1101 | IMPLICIT NONE |
---|
1102 | |
---|
1103 | INTEGER(iwp) :: i !< grid index x-direction |
---|
1104 | INTEGER(iwp) :: j !< grid index y-direction |
---|
1105 | INTEGER(iwp) :: k !< grid index z-direction |
---|
1106 | INTEGER(iwp) :: m !< running index surface elements |
---|
1107 | |
---|
1108 | IF ( constant_flux_layer ) THEN |
---|
1109 | ! |
---|
1110 | !-- Calculate a virtual velocity at the surface in a way that the |
---|
1111 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
---|
1112 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
---|
1113 | !-- production term at k=1 (see production_e_ij). |
---|
1114 | !-- The velocity gradient has to be limited in case of too small km |
---|
1115 | !-- (otherwise the timestep may be significantly reduced by large |
---|
1116 | !-- surface winds). |
---|
1117 | !-- not available in case of non-cyclic boundary conditions. |
---|
1118 | !-- WARNING: the exact analytical solution would require the determination |
---|
1119 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
---|
1120 | !-- Default surfaces, upward-facing |
---|
1121 | !$OMP PARALLEL DO PRIVATE(i,j,k,m) |
---|
1122 | DO m = 1, surf_def_h(0)%ns |
---|
1123 | |
---|
1124 | i = surf_def_h(0)%i(m) |
---|
1125 | j = surf_def_h(0)%j(m) |
---|
1126 | k = surf_def_h(0)%k(m) |
---|
1127 | ! |
---|
1128 | !-- Note, calculatione of u_0 and v_0 is not fully accurate, as u/v |
---|
1129 | !-- and km are not on the same grid. Actually, a further |
---|
1130 | !-- interpolation of km onto the u/v-grid is necessary. However, the |
---|
1131 | !-- effect of this error is negligible. |
---|
1132 | surf_def_h(0)%u_0(m) = u(k+1,j,i) + surf_def_h(0)%usws(m) * & |
---|
1133 | drho_air_zw(k-1) * & |
---|
1134 | ( zu(k+1) - zu(k-1) ) / & |
---|
1135 | ( km(k,j,i) + 1.0E-20_wp ) |
---|
1136 | surf_def_h(0)%v_0(m) = v(k+1,j,i) + surf_def_h(0)%vsws(m) * & |
---|
1137 | drho_air_zw(k-1) * & |
---|
1138 | ( zu(k+1) - zu(k-1) ) / & |
---|
1139 | ( km(k,j,i) + 1.0E-20_wp ) |
---|
1140 | |
---|
1141 | IF ( ABS( u(k+1,j,i) - surf_def_h(0)%u_0(m) ) > & |
---|
1142 | ABS( u(k+1,j,i) - u(k-1,j,i) ) & |
---|
1143 | ) surf_def_h(0)%u_0(m) = u(k-1,j,i) |
---|
1144 | |
---|
1145 | IF ( ABS( v(k+1,j,i) - surf_def_h(0)%v_0(m) ) > & |
---|
1146 | ABS( v(k+1,j,i) - v(k-1,j,i) ) & |
---|
1147 | ) surf_def_h(0)%v_0(m) = v(k-1,j,i) |
---|
1148 | |
---|
1149 | ENDDO |
---|
1150 | ! |
---|
1151 | !-- Default surfaces, downward-facing surfaces |
---|
1152 | !$OMP PARALLEL DO PRIVATE(i,j,k,m) |
---|
1153 | DO m = 1, surf_def_h(1)%ns |
---|
1154 | |
---|
1155 | i = surf_def_h(1)%i(m) |
---|
1156 | j = surf_def_h(1)%j(m) |
---|
1157 | k = surf_def_h(1)%k(m) |
---|
1158 | |
---|
1159 | surf_def_h(1)%u_0(m) = u(k-1,j,i) - surf_def_h(1)%usws(m) * & |
---|
1160 | drho_air_zw(k-1) * & |
---|
1161 | ( zu(k+1) - zu(k-1) ) / & |
---|
1162 | ( km(k,j,i) + 1.0E-20_wp ) |
---|
1163 | surf_def_h(1)%v_0(m) = v(k-1,j,i) - surf_def_h(1)%vsws(m) * & |
---|
1164 | drho_air_zw(k-1) * & |
---|
1165 | ( zu(k+1) - zu(k-1) ) / & |
---|
1166 | ( km(k,j,i) + 1.0E-20_wp ) |
---|
1167 | |
---|
1168 | IF ( ABS( surf_def_h(1)%u_0(m) - u(k-1,j,i) ) > & |
---|
1169 | ABS( u(k+1,j,i) - u(k-1,j,i) ) & |
---|
1170 | ) surf_def_h(1)%u_0(m) = u(k+1,j,i) |
---|
1171 | |
---|
1172 | IF ( ABS( surf_def_h(1)%v_0(m) - v(k-1,j,i) ) > & |
---|
1173 | ABS( v(k+1,j,i) - v(k-1,j,i) ) & |
---|
1174 | ) surf_def_h(1)%v_0(m) = v(k+1,j,i) |
---|
1175 | |
---|
1176 | ENDDO |
---|
1177 | ! |
---|
1178 | !-- Natural surfaces, upward-facing |
---|
1179 | !$OMP PARALLEL DO PRIVATE(i,j,k,m) |
---|
1180 | DO m = 1, surf_lsm_h%ns |
---|
1181 | |
---|
1182 | i = surf_lsm_h%i(m) |
---|
1183 | j = surf_lsm_h%j(m) |
---|
1184 | k = surf_lsm_h%k(m) |
---|
1185 | ! |
---|
1186 | !-- Note, calculatione of u_0 and v_0 is not fully accurate, as u/v |
---|
1187 | !-- and km are not on the same grid. Actually, a further |
---|
1188 | !-- interpolation of km onto the u/v-grid is necessary. However, the |
---|
1189 | !-- effect of this error is negligible. |
---|
1190 | surf_lsm_h%u_0(m) = u(k+1,j,i) + surf_lsm_h%usws(m) * & |
---|
1191 | drho_air_zw(k-1) * & |
---|
1192 | ( zu(k+1) - zu(k-1) ) / & |
---|
1193 | ( km(k,j,i) + 1.0E-20_wp ) |
---|
1194 | surf_lsm_h%v_0(m) = v(k+1,j,i) + surf_lsm_h%vsws(m) * & |
---|
1195 | drho_air_zw(k-1) * & |
---|
1196 | ( zu(k+1) - zu(k-1) ) / & |
---|
1197 | ( km(k,j,i) + 1.0E-20_wp ) |
---|
1198 | |
---|
1199 | IF ( ABS( u(k+1,j,i) - surf_lsm_h%u_0(m) ) > & |
---|
1200 | ABS( u(k+1,j,i) - u(k-1,j,i) ) & |
---|
1201 | ) surf_lsm_h%u_0(m) = u(k-1,j,i) |
---|
1202 | |
---|
1203 | IF ( ABS( v(k+1,j,i) - surf_lsm_h%v_0(m) ) > & |
---|
1204 | ABS( v(k+1,j,i) - v(k-1,j,i) ) & |
---|
1205 | ) surf_lsm_h%v_0(m) = v(k-1,j,i) |
---|
1206 | |
---|
1207 | ENDDO |
---|
1208 | ! |
---|
1209 | !-- Urban surfaces, upward-facing |
---|
1210 | !$OMP PARALLEL DO PRIVATE(i,j,k,m) |
---|
1211 | DO m = 1, surf_usm_h%ns |
---|
1212 | |
---|
1213 | i = surf_usm_h%i(m) |
---|
1214 | j = surf_usm_h%j(m) |
---|
1215 | k = surf_usm_h%k(m) |
---|
1216 | ! |
---|
1217 | !-- Note, calculatione of u_0 and v_0 is not fully accurate, as u/v |
---|
1218 | !-- and km are not on the same grid. Actually, a further |
---|
1219 | !-- interpolation of km onto the u/v-grid is necessary. However, the |
---|
1220 | !-- effect of this error is negligible. |
---|
1221 | surf_usm_h%u_0(m) = u(k+1,j,i) + surf_usm_h%usws(m) * & |
---|
1222 | drho_air_zw(k-1) * & |
---|
1223 | ( zu(k+1) - zu(k-1) ) / & |
---|
1224 | ( km(k,j,i) + 1.0E-20_wp ) |
---|
1225 | surf_usm_h%v_0(m) = v(k+1,j,i) + surf_usm_h%vsws(m) * & |
---|
1226 | drho_air_zw(k-1) * & |
---|
1227 | ( zu(k+1) - zu(k-1) ) / & |
---|
1228 | ( km(k,j,i) + 1.0E-20_wp ) |
---|
1229 | |
---|
1230 | IF ( ABS( u(k+1,j,i) - surf_usm_h%u_0(m) ) > & |
---|
1231 | ABS( u(k+1,j,i) - u(k-1,j,i) ) & |
---|
1232 | ) surf_usm_h%u_0(m) = u(k-1,j,i) |
---|
1233 | |
---|
1234 | IF ( ABS( v(k+1,j,i) - surf_usm_h%v_0(m) ) > & |
---|
1235 | ABS( v(k+1,j,i) - v(k-1,j,i) ) & |
---|
1236 | ) surf_usm_h%v_0(m) = v(k-1,j,i) |
---|
1237 | |
---|
1238 | ENDDO |
---|
1239 | |
---|
1240 | ENDIF |
---|
1241 | |
---|
1242 | END SUBROUTINE production_e_init |
---|
1243 | |
---|
1244 | |
---|
1245 | !------------------------------------------------------------------------------! |
---|
1246 | ! Description: |
---|
1247 | ! ------------ |
---|
1248 | !> Prognostic equation for subgrid-scale TKE and TKE dissipation rate. |
---|
1249 | !> Vector-optimized version |
---|
1250 | !------------------------------------------------------------------------------! |
---|
1251 | SUBROUTINE tcm_prognostic |
---|
1252 | |
---|
1253 | USE arrays_3d, & |
---|
1254 | ONLY: ddzu |
---|
1255 | |
---|
1256 | USE control_parameters, & |
---|
1257 | ONLY: f, scalar_advec, tsc |
---|
1258 | |
---|
1259 | USE surface_mod, & |
---|
1260 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
---|
1261 | surf_usm_v |
---|
1262 | |
---|
1263 | IMPLICIT NONE |
---|
1264 | |
---|
1265 | INTEGER(iwp) :: i !< loop index |
---|
1266 | INTEGER(iwp) :: j !< loop index |
---|
1267 | INTEGER(iwp) :: k !< loop index |
---|
1268 | INTEGER(iwp) :: m !< loop index |
---|
1269 | INTEGER(iwp) :: surf_e !< end index of surface elements at given i-j position |
---|
1270 | INTEGER(iwp) :: surf_s !< start index of surface elements at given i-j position |
---|
1271 | |
---|
1272 | REAL(wp) :: sbt !< wheighting factor for sub-time step |
---|
1273 | |
---|
1274 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: advec !< advection term of TKE tendency |
---|
1275 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: produc !< production term of TKE tendency |
---|
1276 | |
---|
1277 | ! |
---|
1278 | !-- If required, compute prognostic equation for turbulent kinetic |
---|
1279 | !-- energy (TKE) |
---|
1280 | IF ( .NOT. constant_diffusion ) THEN |
---|
1281 | |
---|
1282 | CALL cpu_log( log_point(16), 'tke-equation', 'start' ) |
---|
1283 | |
---|
1284 | sbt = tsc(2) |
---|
1285 | IF ( .NOT. use_upstream_for_tke ) THEN |
---|
1286 | IF ( scalar_advec == 'bc-scheme' ) THEN |
---|
1287 | |
---|
1288 | IF ( timestep_scheme(1:5) /= 'runge' ) THEN |
---|
1289 | ! |
---|
1290 | !-- Bott-Chlond scheme always uses Euler time step. Thus: |
---|
1291 | sbt = 1.0_wp |
---|
1292 | ENDIF |
---|
1293 | tend = 0.0_wp |
---|
1294 | CALL advec_s_bc( e, 'e' ) |
---|
1295 | |
---|
1296 | ENDIF |
---|
1297 | ENDIF |
---|
1298 | |
---|
1299 | ! |
---|
1300 | !-- TKE-tendency terms with no communication |
---|
1301 | IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN |
---|
1302 | IF ( use_upstream_for_tke ) THEN |
---|
1303 | tend = 0.0_wp |
---|
1304 | CALL advec_s_up( e ) |
---|
1305 | ELSE |
---|
1306 | tend = 0.0_wp |
---|
1307 | IF ( timestep_scheme(1:5) == 'runge' ) THEN |
---|
1308 | IF ( ws_scheme_sca ) THEN |
---|
1309 | CALL advec_s_ws( e, 'e' ) |
---|
1310 | ELSE |
---|
1311 | CALL advec_s_pw( e ) |
---|
1312 | ENDIF |
---|
1313 | ELSE |
---|
1314 | CALL advec_s_up( e ) |
---|
1315 | ENDIF |
---|
1316 | ENDIF |
---|
1317 | ENDIF |
---|
1318 | |
---|
1319 | IF ( rans_tke_e ) advec = tend |
---|
1320 | |
---|
1321 | CALL production_e |
---|
1322 | |
---|
1323 | ! |
---|
1324 | !-- Save production term for prognostic equation of TKE dissipation rate |
---|
1325 | IF ( rans_tke_e ) produc = tend - advec |
---|
1326 | |
---|
1327 | IF ( .NOT. humidity ) THEN |
---|
1328 | IF ( ocean ) THEN |
---|
1329 | CALL diffusion_e( prho, prho_reference ) |
---|
1330 | ELSE |
---|
1331 | CALL diffusion_e( pt, pt_reference ) |
---|
1332 | ENDIF |
---|
1333 | ELSE |
---|
1334 | CALL diffusion_e( vpt, pt_reference ) |
---|
1335 | ENDIF |
---|
1336 | |
---|
1337 | ! |
---|
1338 | !-- Additional sink term for flows through plant canopies |
---|
1339 | IF ( plant_canopy ) CALL pcm_tendency( 6 ) |
---|
1340 | |
---|
1341 | CALL user_actions( 'e-tendency' ) |
---|
1342 | |
---|
1343 | ! |
---|
1344 | !-- Prognostic equation for TKE. |
---|
1345 | !-- Eliminate negative TKE values, which can occur due to numerical |
---|
1346 | !-- reasons in the course of the integration. In such cases the old TKE |
---|
1347 | !-- value is reduced by 90%. |
---|
1348 | DO i = nxl, nxr |
---|
1349 | DO j = nys, nyn |
---|
1350 | DO k = nzb+1, nzt |
---|
1351 | e_p(k,j,i) = e(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + & |
---|
1352 | tsc(3) * te_m(k,j,i) ) & |
---|
1353 | ) & |
---|
1354 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1355 | BTEST( wall_flags_0(k,j,i), 0 ) & |
---|
1356 | ) |
---|
1357 | IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i) |
---|
1358 | ENDDO |
---|
1359 | ENDDO |
---|
1360 | ENDDO |
---|
1361 | |
---|
1362 | ! |
---|
1363 | !-- Use special boundary condition in case of TKE-e closure |
---|
1364 | IF ( rans_tke_e ) THEN |
---|
1365 | DO i = nxl, nxr |
---|
1366 | DO j = nys, nyn |
---|
1367 | surf_s = surf_def_h(0)%start_index(j,i) |
---|
1368 | surf_e = surf_def_h(0)%end_index(j,i) |
---|
1369 | DO m = surf_s, surf_e |
---|
1370 | k = surf_def_h(0)%k(m) |
---|
1371 | e_p(k,j,i) = surf_def_h(0)%us(m)**2 / c_m**2 |
---|
1372 | ENDDO |
---|
1373 | ENDDO |
---|
1374 | ENDDO |
---|
1375 | ENDIF |
---|
1376 | |
---|
1377 | ! |
---|
1378 | !-- Calculate tendencies for the next Runge-Kutta step |
---|
1379 | IF ( timestep_scheme(1:5) == 'runge' ) THEN |
---|
1380 | IF ( intermediate_timestep_count == 1 ) THEN |
---|
1381 | DO i = nxl, nxr |
---|
1382 | DO j = nys, nyn |
---|
1383 | DO k = nzb+1, nzt |
---|
1384 | te_m(k,j,i) = tend(k,j,i) |
---|
1385 | ENDDO |
---|
1386 | ENDDO |
---|
1387 | ENDDO |
---|
1388 | ELSEIF ( intermediate_timestep_count < & |
---|
1389 | intermediate_timestep_count_max ) THEN |
---|
1390 | DO i = nxl, nxr |
---|
1391 | DO j = nys, nyn |
---|
1392 | DO k = nzb+1, nzt |
---|
1393 | te_m(k,j,i) = -9.5625_wp * tend(k,j,i) & |
---|
1394 | + 5.3125_wp * te_m(k,j,i) |
---|
1395 | ENDDO |
---|
1396 | ENDDO |
---|
1397 | ENDDO |
---|
1398 | ENDIF |
---|
1399 | ENDIF |
---|
1400 | |
---|
1401 | CALL cpu_log( log_point(16), 'tke-equation', 'stop' ) |
---|
1402 | |
---|
1403 | ENDIF ! TKE equation |
---|
1404 | |
---|
1405 | ! |
---|
1406 | !-- If required, compute prognostic equation for TKE dissipation rate |
---|
1407 | IF ( rans_tke_e ) THEN |
---|
1408 | |
---|
1409 | CALL cpu_log( log_point(33), 'diss-equation', 'start' ) |
---|
1410 | |
---|
1411 | sbt = tsc(2) |
---|
1412 | IF ( .NOT. use_upstream_for_tke ) THEN |
---|
1413 | IF ( scalar_advec == 'bc-scheme' ) THEN |
---|
1414 | |
---|
1415 | IF ( timestep_scheme(1:5) /= 'runge' ) THEN |
---|
1416 | ! |
---|
1417 | !-- Bott-Chlond scheme always uses Euler time step. Thus: |
---|
1418 | sbt = 1.0_wp |
---|
1419 | ENDIF |
---|
1420 | tend = 0.0_wp |
---|
1421 | CALL advec_s_bc( diss, 'diss' ) |
---|
1422 | |
---|
1423 | ENDIF |
---|
1424 | ENDIF |
---|
1425 | |
---|
1426 | ! |
---|
1427 | !-- dissipation-tendency terms with no communication |
---|
1428 | IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN |
---|
1429 | IF ( use_upstream_for_tke ) THEN |
---|
1430 | tend = 0.0_wp |
---|
1431 | CALL advec_s_up( diss ) |
---|
1432 | ELSE |
---|
1433 | tend = 0.0_wp |
---|
1434 | IF ( timestep_scheme(1:5) == 'runge' ) THEN |
---|
1435 | IF ( ws_scheme_sca ) THEN |
---|
1436 | CALL advec_s_ws( diss, 'diss' ) |
---|
1437 | ELSE |
---|
1438 | CALL advec_s_pw( diss ) |
---|
1439 | ENDIF |
---|
1440 | ELSE |
---|
1441 | CALL advec_s_up( diss ) |
---|
1442 | ENDIF |
---|
1443 | ENDIF |
---|
1444 | ENDIF |
---|
1445 | |
---|
1446 | ! |
---|
1447 | !-- Production of TKE dissipation rate |
---|
1448 | DO i = nxl, nxr |
---|
1449 | DO j = nys, nyn |
---|
1450 | DO k = nzb+1, nzt |
---|
1451 | ! tend(k,j,i) = tend(k,j,i) + c_1 * diss(k,j,i) / ( e(k,j,i) + 1.0E-20_wp ) * produc(k) |
---|
1452 | tend(k,j,i) = tend(k,j,i) + c_1 * c_mu * f / c_h & !### needs revision |
---|
1453 | / surf_def_h(0)%us(surf_def_h(0)%start_index(j,i)) & |
---|
1454 | * SQRT(e(k,j,i)) * produc(k,j,i) |
---|
1455 | ENDDO |
---|
1456 | ENDDO |
---|
1457 | ENDDO |
---|
1458 | |
---|
1459 | CALL diffusion_diss |
---|
1460 | |
---|
1461 | ! |
---|
1462 | !-- Additional sink term for flows through plant canopies |
---|
1463 | ! IF ( plant_canopy ) CALL pcm_tendency( ? ) !### what to do with this? |
---|
1464 | |
---|
1465 | ! CALL user_actions( 'diss-tendency' ) !### not yet implemented |
---|
1466 | |
---|
1467 | ! |
---|
1468 | !-- Prognostic equation for TKE dissipation. |
---|
1469 | !-- Eliminate negative dissipation values, which can occur due to numerical |
---|
1470 | !-- reasons in the course of the integration. In such cases the old |
---|
1471 | !-- dissipation value is reduced by 90%. |
---|
1472 | DO i = nxl, nxr |
---|
1473 | DO j = nys, nyn |
---|
1474 | DO k = nzb+1, nzt |
---|
1475 | diss_p(k,j,i) = diss(k,j,i) + ( dt_3d * ( sbt * tend(k,j,i) + & |
---|
1476 | tsc(3) * tdiss_m(k,j,i) ) & |
---|
1477 | ) & |
---|
1478 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1479 | BTEST( wall_flags_0(k,j,i), 0 ) & |
---|
1480 | ) |
---|
1481 | IF ( diss_p(k,j,i) < 0.0_wp ) & |
---|
1482 | diss_p(k,j,i) = 0.1_wp * diss(k,j,i) |
---|
1483 | ENDDO |
---|
1484 | ENDDO |
---|
1485 | ENDDO |
---|
1486 | |
---|
1487 | ! |
---|
1488 | !-- Use special boundary condition in case of TKE-e closure |
---|
1489 | DO i = nxl, nxr |
---|
1490 | DO j = nys, nyn |
---|
1491 | surf_s = surf_def_h(0)%start_index(j,i) |
---|
1492 | surf_e = surf_def_h(0)%end_index(j,i) |
---|
1493 | DO m = surf_s, surf_e |
---|
1494 | k = surf_def_h(0)%k(m) |
---|
1495 | diss_p(k,j,i) = surf_def_h(0)%us(m)**3 / kappa * ddzu(k) |
---|
1496 | ENDDO |
---|
1497 | ENDDO |
---|
1498 | ENDDO |
---|
1499 | |
---|
1500 | ! |
---|
1501 | !-- Calculate tendencies for the next Runge-Kutta step |
---|
1502 | IF ( timestep_scheme(1:5) == 'runge' ) THEN |
---|
1503 | IF ( intermediate_timestep_count == 1 ) THEN |
---|
1504 | DO i = nxl, nxr |
---|
1505 | DO j = nys, nyn |
---|
1506 | DO k = nzb+1, nzt |
---|
1507 | tdiss_m(k,j,i) = tend(k,j,i) |
---|
1508 | ENDDO |
---|
1509 | ENDDO |
---|
1510 | ENDDO |
---|
1511 | ELSEIF ( intermediate_timestep_count < & |
---|
1512 | intermediate_timestep_count_max ) THEN |
---|
1513 | DO i = nxl, nxr |
---|
1514 | DO j = nys, nyn |
---|
1515 | DO k = nzb+1, nzt |
---|
1516 | tdiss_m(k,j,i) = -9.5625_wp * tend(k,j,i) & |
---|
1517 | + 5.3125_wp * tdiss_m(k,j,i) |
---|
1518 | ENDDO |
---|
1519 | ENDDO |
---|
1520 | ENDDO |
---|
1521 | ENDIF |
---|
1522 | ENDIF |
---|
1523 | |
---|
1524 | CALL cpu_log( log_point(33), 'diss-equation', 'stop' ) |
---|
1525 | |
---|
1526 | ENDIF |
---|
1527 | |
---|
1528 | END SUBROUTINE tcm_prognostic |
---|
1529 | |
---|
1530 | |
---|
1531 | !------------------------------------------------------------------------------! |
---|
1532 | ! Description: |
---|
1533 | ! ------------ |
---|
1534 | !> Prognostic equation for subgrid-scale TKE and TKE dissipation rate. |
---|
1535 | !> Cache-optimized version |
---|
1536 | !------------------------------------------------------------------------------! |
---|
1537 | SUBROUTINE tcm_prognostic_ij( i, j, i_omp, tn ) |
---|
1538 | |
---|
1539 | USE arrays_3d, & |
---|
1540 | ONLY: ddzu, diss_l_diss, diss_l_e, diss_s_diss, diss_s_e, & |
---|
1541 | flux_l_diss, flux_l_e, flux_s_diss, flux_s_e |
---|
1542 | |
---|
1543 | USE control_parameters, & |
---|
1544 | ONLY: f, tsc |
---|
1545 | |
---|
1546 | USE surface_mod, & |
---|
1547 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
---|
1548 | surf_usm_v |
---|
1549 | |
---|
1550 | IMPLICIT NONE |
---|
1551 | |
---|
1552 | INTEGER(iwp) :: i !< loop index x direction |
---|
1553 | INTEGER(iwp) :: i_omp !< |
---|
1554 | INTEGER(iwp) :: j !< loop index y direction |
---|
1555 | INTEGER(iwp) :: k !< loop index z direction |
---|
1556 | INTEGER(iwp) :: m !< loop index |
---|
1557 | INTEGER(iwp) :: surf_e !< end index of surface elements at given i-j position |
---|
1558 | INTEGER(iwp) :: surf_s !< start index of surface elements at given i-j position |
---|
1559 | INTEGER(iwp) :: tn !< |
---|
1560 | |
---|
1561 | REAL(wp), DIMENSION(nzb:nzt+1) :: advec !< advection term of TKE tendency |
---|
1562 | REAL(wp), DIMENSION(nzb:nzt+1) :: produc !< production term of TKE tendency |
---|
1563 | |
---|
1564 | ! |
---|
1565 | !-- If required, compute prognostic equation for turbulent kinetic |
---|
1566 | !-- energy (TKE) |
---|
1567 | IF ( .NOT. constant_diffusion ) THEN |
---|
1568 | |
---|
1569 | ! |
---|
1570 | !-- Tendency-terms for TKE |
---|
1571 | tend(:,j,i) = 0.0_wp |
---|
1572 | IF ( timestep_scheme(1:5) == 'runge' & |
---|
1573 | .AND. .NOT. use_upstream_for_tke ) THEN |
---|
1574 | IF ( ws_scheme_sca ) THEN |
---|
1575 | CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, & |
---|
1576 | flux_l_e, diss_l_e , i_omp, tn ) |
---|
1577 | ELSE |
---|
1578 | CALL advec_s_pw( i, j, e ) |
---|
1579 | ENDIF |
---|
1580 | ELSE |
---|
1581 | CALL advec_s_up( i, j, e ) |
---|
1582 | ENDIF |
---|
1583 | |
---|
1584 | advec(:) = tend(:,j,i) |
---|
1585 | |
---|
1586 | CALL production_e( i, j ) |
---|
1587 | |
---|
1588 | produc(:) = tend(:,j,i) - advec(:) |
---|
1589 | |
---|
1590 | IF ( .NOT. humidity ) THEN |
---|
1591 | IF ( ocean ) THEN |
---|
1592 | CALL diffusion_e( i, j, prho, prho_reference ) |
---|
1593 | ELSE |
---|
1594 | CALL diffusion_e( i, j, pt, pt_reference ) |
---|
1595 | ENDIF |
---|
1596 | ELSE |
---|
1597 | CALL diffusion_e( i, j, vpt, pt_reference ) |
---|
1598 | ENDIF |
---|
1599 | |
---|
1600 | ! |
---|
1601 | !-- Additional sink term for flows through plant canopies |
---|
1602 | IF ( plant_canopy ) CALL pcm_tendency( i, j, 6 ) |
---|
1603 | |
---|
1604 | CALL user_actions( i, j, 'e-tendency' ) |
---|
1605 | |
---|
1606 | ! |
---|
1607 | !-- Prognostic equation for TKE. |
---|
1608 | !-- Eliminate negative TKE values, which can occur due to numerical |
---|
1609 | !-- reasons in the course of the integration. In such cases the old |
---|
1610 | !-- TKE value is reduced by 90%. |
---|
1611 | DO k = nzb+1, nzt |
---|
1612 | e_p(k,j,i) = e(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + & |
---|
1613 | tsc(3) * te_m(k,j,i) ) & |
---|
1614 | ) & |
---|
1615 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1616 | BTEST( wall_flags_0(k,j,i), 0 ) & |
---|
1617 | ) |
---|
1618 | IF ( e_p(k,j,i) <= 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i) |
---|
1619 | ENDDO |
---|
1620 | |
---|
1621 | ! |
---|
1622 | !-- Use special boundary condition in case of TKE-e closure |
---|
1623 | IF ( rans_tke_e ) THEN |
---|
1624 | surf_s = surf_def_h(0)%start_index(j,i) |
---|
1625 | surf_e = surf_def_h(0)%end_index(j,i) |
---|
1626 | DO m = surf_s, surf_e |
---|
1627 | k = surf_def_h(0)%k(m) |
---|
1628 | e_p(k,j,i) = surf_def_h(0)%us(m)**2 / c_m**2 |
---|
1629 | ENDDO |
---|
1630 | ENDIF |
---|
1631 | |
---|
1632 | ! |
---|
1633 | !-- Calculate tendencies for the next Runge-Kutta step |
---|
1634 | IF ( timestep_scheme(1:5) == 'runge' ) THEN |
---|
1635 | IF ( intermediate_timestep_count == 1 ) THEN |
---|
1636 | DO k = nzb+1, nzt |
---|
1637 | te_m(k,j,i) = tend(k,j,i) |
---|
1638 | ENDDO |
---|
1639 | ELSEIF ( intermediate_timestep_count < & |
---|
1640 | intermediate_timestep_count_max ) THEN |
---|
1641 | DO k = nzb+1, nzt |
---|
1642 | te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + & |
---|
1643 | 5.3125_wp * te_m(k,j,i) |
---|
1644 | ENDDO |
---|
1645 | ENDIF |
---|
1646 | ENDIF |
---|
1647 | |
---|
1648 | ENDIF ! TKE equation |
---|
1649 | |
---|
1650 | ! |
---|
1651 | !-- If required, compute prognostic equation for TKE dissipation rate |
---|
1652 | IF ( rans_tke_e ) THEN |
---|
1653 | |
---|
1654 | ! |
---|
1655 | !-- Tendency-terms for dissipation |
---|
1656 | tend(:,j,i) = 0.0_wp |
---|
1657 | IF ( timestep_scheme(1:5) == 'runge' & |
---|
1658 | .AND. .NOT. use_upstream_for_tke ) THEN |
---|
1659 | IF ( ws_scheme_sca ) THEN |
---|
1660 | CALL advec_s_ws( i, j, diss, 'diss', flux_s_diss, diss_s_diss, & |
---|
1661 | flux_l_diss, diss_l_diss, i_omp, tn ) |
---|
1662 | ELSE |
---|
1663 | CALL advec_s_pw( i, j, diss ) |
---|
1664 | ENDIF |
---|
1665 | ELSE |
---|
1666 | CALL advec_s_up( i, j, diss ) |
---|
1667 | ENDIF |
---|
1668 | |
---|
1669 | ! |
---|
1670 | !-- Production of TKE dissipation rate |
---|
1671 | DO k = nzb+1, nzt |
---|
1672 | ! tend(k,j,i) = tend(k,j,i) + c_1 * diss(k,j,i) / ( e(k,j,i) + 1.0E-20_wp ) * produc(k) |
---|
1673 | tend(k,j,i) = tend(k,j,i) + c_1 * c_mu * f / c_h & !### needs revision |
---|
1674 | / surf_def_h(0)%us(surf_def_h(0)%start_index(j,i)) & |
---|
1675 | * SQRT(e(k,j,i)) * produc(k) |
---|
1676 | ENDDO |
---|
1677 | |
---|
1678 | CALL diffusion_diss( i, j ) |
---|
1679 | |
---|
1680 | ! |
---|
1681 | !-- Additional sink term for flows through plant canopies |
---|
1682 | ! IF ( plant_canopy ) CALL pcm_tendency( i, j, ? ) !### not yet implemented |
---|
1683 | |
---|
1684 | ! CALL user_actions( i, j, 'diss-tendency' ) !### not yet implemented |
---|
1685 | |
---|
1686 | ! |
---|
1687 | !-- Prognostic equation for TKE dissipation |
---|
1688 | !-- Eliminate negative dissipation values, which can occur due to |
---|
1689 | !-- numerical reasons in the course of the integration. In such cases |
---|
1690 | !-- the old dissipation value is reduced by 90%. |
---|
1691 | DO k = nzb+1, nzt |
---|
1692 | diss_p(k,j,i) = diss(k,j,i) + ( dt_3d * ( tsc(2) * tend(k,j,i) + & |
---|
1693 | tsc(3) * tdiss_m(k,j,i) ) & |
---|
1694 | ) & |
---|
1695 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1696 | BTEST( wall_flags_0(k,j,i), 0 )& |
---|
1697 | ) |
---|
1698 | IF ( diss_p(k,j,i) <= 0.0_wp ) diss_p(k,j,i) = 0.1_wp * diss(k,j,i) |
---|
1699 | ENDDO |
---|
1700 | |
---|
1701 | ! |
---|
1702 | !-- Use special boundary condition in case of TKE-e closure |
---|
1703 | surf_s = surf_def_h(0)%start_index(j,i) |
---|
1704 | surf_e = surf_def_h(0)%end_index(j,i) |
---|
1705 | DO m = surf_s, surf_e |
---|
1706 | k = surf_def_h(0)%k(m) |
---|
1707 | diss_p(k,j,i) = surf_def_h(0)%us(m)**3 / kappa * ddzu(k) |
---|
1708 | ENDDO |
---|
1709 | |
---|
1710 | ! |
---|
1711 | !-- Calculate tendencies for the next Runge-Kutta step |
---|
1712 | IF ( timestep_scheme(1:5) == 'runge' ) THEN |
---|
1713 | IF ( intermediate_timestep_count == 1 ) THEN |
---|
1714 | DO k = nzb+1, nzt |
---|
1715 | tdiss_m(k,j,i) = tend(k,j,i) |
---|
1716 | ENDDO |
---|
1717 | ELSEIF ( intermediate_timestep_count < & |
---|
1718 | intermediate_timestep_count_max ) THEN |
---|
1719 | DO k = nzb+1, nzt |
---|
1720 | tdiss_m(k,j,i) = -9.5625_wp * tend(k,j,i) + & |
---|
1721 | 5.3125_wp * tdiss_m(k,j,i) |
---|
1722 | ENDDO |
---|
1723 | ENDIF |
---|
1724 | ENDIF |
---|
1725 | |
---|
1726 | ! IF ( intermediate_timestep_count == 1 ) dummy1(:,j,i) = e_p(:,j,i) |
---|
1727 | ! IF ( intermediate_timestep_count == 2 ) dummy2(:,j,i) = e_p(:,j,i) |
---|
1728 | ! IF ( intermediate_timestep_count == 3 ) dummy3(:,j,i) = e_p(:,j,i) |
---|
1729 | |
---|
1730 | ENDIF ! dissipation equation |
---|
1731 | |
---|
1732 | END SUBROUTINE tcm_prognostic_ij |
---|
1733 | |
---|
1734 | |
---|
1735 | !------------------------------------------------------------------------------! |
---|
1736 | ! Description: |
---|
1737 | ! ------------ |
---|
1738 | !> Production terms (shear + buoyancy) of the TKE. |
---|
1739 | !> Vector-optimized version |
---|
1740 | !> @warning The case with constant_flux_layer = F and use_surface_fluxes = T is |
---|
1741 | !> not considered well! |
---|
1742 | !------------------------------------------------------------------------------! |
---|
1743 | SUBROUTINE production_e |
---|
1744 | |
---|
1745 | USE arrays_3d, & |
---|
1746 | ONLY: ddzw, dd2zu, drho_air_zw, q, ql |
---|
1747 | |
---|
1748 | USE cloud_parameters, & |
---|
1749 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
---|
1750 | |
---|
1751 | USE control_parameters, & |
---|
1752 | ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, neutral, & |
---|
1753 | rho_reference, use_single_reference_value, use_surface_fluxes, & |
---|
1754 | use_top_fluxes |
---|
1755 | |
---|
1756 | USE grid_variables, & |
---|
1757 | ONLY: ddx, dx, ddy, dy |
---|
1758 | |
---|
1759 | USE surface_mod, & |
---|
1760 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
---|
1761 | surf_usm_v |
---|
1762 | |
---|
1763 | IMPLICIT NONE |
---|
1764 | |
---|
1765 | INTEGER(iwp) :: i !< running index x-direction |
---|
1766 | INTEGER(iwp) :: j !< running index y-direction |
---|
1767 | INTEGER(iwp) :: k !< running index z-direction |
---|
1768 | INTEGER(iwp) :: l !< running index for different surface type orientation |
---|
1769 | INTEGER(iwp) :: m !< running index surface elements |
---|
1770 | INTEGER(iwp) :: surf_e !< end index of surface elements at given i-j position |
---|
1771 | INTEGER(iwp) :: surf_s !< start index of surface elements at given i-j position |
---|
1772 | |
---|
1773 | REAL(wp) :: def !< |
---|
1774 | REAL(wp) :: flag !< flag to mask topography |
---|
1775 | REAL(wp) :: k1 !< |
---|
1776 | REAL(wp) :: k2 !< |
---|
1777 | REAL(wp) :: km_neutral !< diffusion coefficient assuming neutral conditions - used to compute shear production at surfaces |
---|
1778 | REAL(wp) :: theta !< |
---|
1779 | REAL(wp) :: temp !< |
---|
1780 | REAL(wp) :: sign_dir !< sign of wall-tke flux, depending on wall orientation |
---|
1781 | REAL(wp) :: usvs !< momentum flux u"v" |
---|
1782 | REAL(wp) :: vsus !< momentum flux v"u" |
---|
1783 | REAL(wp) :: wsus !< momentum flux w"u" |
---|
1784 | REAL(wp) :: wsvs !< momentum flux w"v" |
---|
1785 | |
---|
1786 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dudx !< Gradient of u-component in x-direction |
---|
1787 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dudy !< Gradient of u-component in y-direction |
---|
1788 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dudz !< Gradient of u-component in z-direction |
---|
1789 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dvdx !< Gradient of v-component in x-direction |
---|
1790 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dvdy !< Gradient of v-component in y-direction |
---|
1791 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dvdz !< Gradient of v-component in z-direction |
---|
1792 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dwdx !< Gradient of w-component in x-direction |
---|
1793 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dwdy !< Gradient of w-component in y-direction |
---|
1794 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dwdz !< Gradient of w-component in z-direction |
---|
1795 | |
---|
1796 | DO i = nxl, nxr |
---|
1797 | |
---|
1798 | IF ( constant_flux_layer ) THEN |
---|
1799 | |
---|
1800 | ! |
---|
1801 | !-- Calculate TKE production by shear. Calculate gradients at all grid |
---|
1802 | !-- points first, gradients at surface-bounded grid points will be |
---|
1803 | !-- overwritten further below. |
---|
1804 | DO j = nys, nyn |
---|
1805 | DO k = nzb+1, nzt |
---|
1806 | |
---|
1807 | dudx(k,j) = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1808 | dudy(k,j) = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1809 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1810 | dudz(k,j) = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1811 | u(k-1,j,i) - u(k-1,j,i+1) ) * & |
---|
1812 | dd2zu(k) |
---|
1813 | |
---|
1814 | dvdx(k,j) = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1815 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1816 | dvdy(k,j) = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1817 | dvdz(k,j) = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1818 | v(k-1,j,i) - v(k-1,j+1,i) ) * & |
---|
1819 | dd2zu(k) |
---|
1820 | |
---|
1821 | dwdx(k,j) = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1822 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1823 | dwdy(k,j) = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1824 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1825 | dwdz(k,j) = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1826 | |
---|
1827 | ENDDO |
---|
1828 | ENDDO |
---|
1829 | |
---|
1830 | ! |
---|
1831 | !-- Position beneath wall |
---|
1832 | !-- (2) - Will allways be executed. |
---|
1833 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
---|
1834 | DO j = nys, nyn |
---|
1835 | ! |
---|
1836 | !-- Compute gradients at north- and south-facing surfaces. |
---|
1837 | !-- First, for default surfaces, then for urban surfaces. |
---|
1838 | !-- Note, so far no natural vertical surfaces implemented |
---|
1839 | DO l = 0, 1 |
---|
1840 | surf_s = surf_def_v(l)%start_index(j,i) |
---|
1841 | surf_e = surf_def_v(l)%end_index(j,i) |
---|
1842 | DO m = surf_s, surf_e |
---|
1843 | k = surf_def_v(l)%k(m) |
---|
1844 | usvs = surf_def_v(l)%mom_flux_tke(0,m) |
---|
1845 | wsvs = surf_def_v(l)%mom_flux_tke(1,m) |
---|
1846 | |
---|
1847 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
---|
1848 | * 0.5_wp * dy |
---|
1849 | ! |
---|
1850 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
1851 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
1852 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
---|
1853 | dudy(k,j) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
---|
1854 | dwdy(k,j) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
---|
1855 | ENDDO |
---|
1856 | ! |
---|
1857 | !-- Natural surfaces |
---|
1858 | surf_s = surf_lsm_v(l)%start_index(j,i) |
---|
1859 | surf_e = surf_lsm_v(l)%end_index(j,i) |
---|
1860 | DO m = surf_s, surf_e |
---|
1861 | k = surf_lsm_v(l)%k(m) |
---|
1862 | usvs = surf_lsm_v(l)%mom_flux_tke(0,m) |
---|
1863 | wsvs = surf_lsm_v(l)%mom_flux_tke(1,m) |
---|
1864 | |
---|
1865 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
---|
1866 | * 0.5_wp * dy |
---|
1867 | ! |
---|
1868 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
1869 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
1870 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
---|
1871 | dudy(k,j) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
---|
1872 | dwdy(k,j) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
---|
1873 | ENDDO |
---|
1874 | ! |
---|
1875 | !-- Urban surfaces |
---|
1876 | surf_s = surf_usm_v(l)%start_index(j,i) |
---|
1877 | surf_e = surf_usm_v(l)%end_index(j,i) |
---|
1878 | DO m = surf_s, surf_e |
---|
1879 | k = surf_usm_v(l)%k(m) |
---|
1880 | usvs = surf_usm_v(l)%mom_flux_tke(0,m) |
---|
1881 | wsvs = surf_usm_v(l)%mom_flux_tke(1,m) |
---|
1882 | |
---|
1883 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
---|
1884 | * 0.5_wp * dy |
---|
1885 | ! |
---|
1886 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
1887 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
1888 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
---|
1889 | dudy(k,j) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
---|
1890 | dwdy(k,j) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
---|
1891 | ENDDO |
---|
1892 | ENDDO |
---|
1893 | ! |
---|
1894 | !-- Compute gradients at east- and west-facing walls |
---|
1895 | DO l = 2, 3 |
---|
1896 | surf_s = surf_def_v(l)%start_index(j,i) |
---|
1897 | surf_e = surf_def_v(l)%end_index(j,i) |
---|
1898 | DO m = surf_s, surf_e |
---|
1899 | k = surf_def_v(l)%k(m) |
---|
1900 | vsus = surf_def_v(l)%mom_flux_tke(0,m) |
---|
1901 | wsus = surf_def_v(l)%mom_flux_tke(1,m) |
---|
1902 | |
---|
1903 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
---|
1904 | * 0.5_wp * dx |
---|
1905 | ! |
---|
1906 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
1907 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
1908 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
---|
1909 | dvdx(k,j) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
---|
1910 | dwdx(k,j) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
---|
1911 | ENDDO |
---|
1912 | ! |
---|
1913 | !-- Natural surfaces |
---|
1914 | surf_s = surf_lsm_v(l)%start_index(j,i) |
---|
1915 | surf_e = surf_lsm_v(l)%end_index(j,i) |
---|
1916 | DO m = surf_s, surf_e |
---|
1917 | k = surf_lsm_v(l)%k(m) |
---|
1918 | vsus = surf_lsm_v(l)%mom_flux_tke(0,m) |
---|
1919 | wsus = surf_lsm_v(l)%mom_flux_tke(1,m) |
---|
1920 | |
---|
1921 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
---|
1922 | * 0.5_wp * dx |
---|
1923 | ! |
---|
1924 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
1925 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
1926 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
---|
1927 | dvdx(k,j) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
---|
1928 | dwdx(k,j) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
---|
1929 | ENDDO |
---|
1930 | ! |
---|
1931 | !-- Urban surfaces |
---|
1932 | surf_s = surf_usm_v(l)%start_index(j,i) |
---|
1933 | surf_e = surf_usm_v(l)%end_index(j,i) |
---|
1934 | DO m = surf_s, surf_e |
---|
1935 | k = surf_usm_v(l)%k(m) |
---|
1936 | vsus = surf_usm_v(l)%mom_flux_tke(0,m) |
---|
1937 | wsus = surf_usm_v(l)%mom_flux_tke(1,m) |
---|
1938 | |
---|
1939 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
---|
1940 | * 0.5_wp * dx |
---|
1941 | ! |
---|
1942 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
1943 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
1944 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
---|
1945 | dvdx(k,j) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
---|
1946 | dwdx(k,j) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
---|
1947 | ENDDO |
---|
1948 | ENDDO |
---|
1949 | ! |
---|
1950 | !-- Compute gradients at upward-facing surfaces |
---|
1951 | surf_s = surf_def_h(0)%start_index(j,i) |
---|
1952 | surf_e = surf_def_h(0)%end_index(j,i) |
---|
1953 | DO m = surf_s, surf_e |
---|
1954 | k = surf_def_h(0)%k(m) |
---|
1955 | ! |
---|
1956 | !-- Please note, actually, an interpolation of u_0 and v_0 |
---|
1957 | !-- onto the grid center would be required. However, this |
---|
1958 | !-- would require several data transfers between 2D-grid and |
---|
1959 | !-- wall type. The effect of this missing interpolation is |
---|
1960 | !-- negligible. (See also production_e_init). |
---|
1961 | dudz(k,j) = ( u(k+1,j,i) - surf_def_h(0)%u_0(m) ) * dd2zu(k) |
---|
1962 | dvdz(k,j) = ( v(k+1,j,i) - surf_def_h(0)%v_0(m) ) * dd2zu(k) |
---|
1963 | |
---|
1964 | ENDDO |
---|
1965 | ! |
---|
1966 | !-- Natural surfaces |
---|
1967 | surf_s = surf_lsm_h%start_index(j,i) |
---|
1968 | surf_e = surf_lsm_h%end_index(j,i) |
---|
1969 | DO m = surf_s, surf_e |
---|
1970 | k = surf_lsm_h%k(m) |
---|
1971 | |
---|
1972 | dudz(k,j) = ( u(k+1,j,i) - surf_lsm_h%u_0(m) ) * dd2zu(k) |
---|
1973 | dvdz(k,j) = ( v(k+1,j,i) - surf_lsm_h%v_0(m) ) * dd2zu(k) |
---|
1974 | |
---|
1975 | ENDDO |
---|
1976 | ! |
---|
1977 | !-- Urban surfaces |
---|
1978 | surf_s = surf_usm_h%start_index(j,i) |
---|
1979 | surf_e = surf_usm_h%end_index(j,i) |
---|
1980 | DO m = surf_s, surf_e |
---|
1981 | k = surf_usm_h%k(m) |
---|
1982 | |
---|
1983 | dudz(k,j) = ( u(k+1,j,i) - surf_usm_h%u_0(m) ) * dd2zu(k) |
---|
1984 | dvdz(k,j) = ( v(k+1,j,i) - surf_usm_h%v_0(m) ) * dd2zu(k) |
---|
1985 | |
---|
1986 | ENDDO |
---|
1987 | ! |
---|
1988 | !-- Compute gradients at downward-facing walls, only for |
---|
1989 | !-- non-natural default surfaces |
---|
1990 | surf_s = surf_def_h(1)%start_index(j,i) |
---|
1991 | surf_e = surf_def_h(1)%end_index(j,i) |
---|
1992 | DO m = surf_s, surf_e |
---|
1993 | k = surf_def_h(1)%k(m) |
---|
1994 | |
---|
1995 | dudz(k,j) = ( surf_def_h(1)%u_0(m) - u(k-1,j,i) ) * dd2zu(k) |
---|
1996 | dvdz(k,j) = ( surf_def_h(1)%v_0(m) - v(k-1,j,i) ) * dd2zu(k) |
---|
1997 | |
---|
1998 | ENDDO |
---|
1999 | ENDDO |
---|
2000 | |
---|
2001 | DO j = nys, nyn |
---|
2002 | DO k = nzb+1, nzt |
---|
2003 | |
---|
2004 | def = 2.0_wp * ( dudx(k,j)**2 + dvdy(k,j)**2 + dwdz(k,j)**2 ) + & |
---|
2005 | dudy(k,j)**2 + dvdx(k,j)**2 + dwdx(k,j)**2 + & |
---|
2006 | dwdy(k,j)**2 + dudz(k,j)**2 + dvdz(k,j)**2 + & |
---|
2007 | 2.0_wp * ( dvdx(k,j)*dudy(k,j) + dwdx(k,j)*dudz(k,j) + & |
---|
2008 | dwdy(k,j)*dvdz(k,j) ) |
---|
2009 | |
---|
2010 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
2011 | |
---|
2012 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
2013 | |
---|
2014 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def * flag |
---|
2015 | |
---|
2016 | ENDDO |
---|
2017 | ENDDO |
---|
2018 | |
---|
2019 | ELSE |
---|
2020 | |
---|
2021 | DO j = nys, nyn |
---|
2022 | ! |
---|
2023 | !-- Calculate TKE production by shear. Here, no additional |
---|
2024 | !-- wall-bounded code is considered. |
---|
2025 | !-- Why? |
---|
2026 | DO k = nzb+1, nzt |
---|
2027 | |
---|
2028 | dudx(k,j) = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
2029 | dudy(k,j) = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
2030 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
2031 | dudz(k,j) = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
2032 | u(k-1,j,i) - u(k-1,j,i+1) ) * & |
---|
2033 | dd2zu(k) |
---|
2034 | |
---|
2035 | dvdx(k,j) = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
2036 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
2037 | dvdy(k,j) = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
2038 | dvdz(k,j) = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
2039 | v(k-1,j,i) - v(k-1,j+1,i) ) * & |
---|
2040 | dd2zu(k) |
---|
2041 | |
---|
2042 | dwdx(k,j) = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
2043 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
2044 | dwdy(k,j) = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
2045 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
2046 | dwdz(k,j) = ( w(k,j,i) - w(k-1,j,i) ) * & |
---|
2047 | ddzw(k) |
---|
2048 | |
---|
2049 | def = 2.0_wp * ( & |
---|
2050 | dudx(k,j)**2 + dvdy(k,j)**2 + dwdz(k,j)**2 & |
---|
2051 | ) + & |
---|
2052 | dudy(k,j)**2 + dvdx(k,j)**2 + dwdx(k,j)**2 + & |
---|
2053 | dwdy(k,j)**2 + dudz(k,j)**2 + dvdz(k,j)**2 + & |
---|
2054 | 2.0_wp * ( & |
---|
2055 | dvdx(k,j)*dudy(k,j) + dwdx(k,j)*dudz(k,j) + & |
---|
2056 | dwdy(k,j)*dvdz(k,j) & |
---|
2057 | ) |
---|
2058 | |
---|
2059 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
2060 | |
---|
2061 | flag = MERGE( 1.0_wp, 0.0_wp, & |
---|
2062 | BTEST( wall_flags_0(k,j,i), 29 ) ) |
---|
2063 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def * flag |
---|
2064 | |
---|
2065 | ENDDO |
---|
2066 | ENDDO |
---|
2067 | |
---|
2068 | ENDIF |
---|
2069 | |
---|
2070 | ! |
---|
2071 | !-- If required, calculate TKE production by buoyancy |
---|
2072 | IF ( .NOT. neutral ) THEN |
---|
2073 | |
---|
2074 | IF ( .NOT. humidity ) THEN |
---|
2075 | |
---|
2076 | IF ( ocean ) THEN |
---|
2077 | ! |
---|
2078 | !-- So far in the ocean no special treatment of density flux |
---|
2079 | !-- in the bottom and top surface layer |
---|
2080 | DO j = nys, nyn |
---|
2081 | DO k = nzb+1, nzt |
---|
2082 | tend(k,j,i) = tend(k,j,i) + & |
---|
2083 | kh(k,j,i) * g / & |
---|
2084 | MERGE( rho_reference, prho(k,j,i), & |
---|
2085 | use_single_reference_value ) * & |
---|
2086 | ( prho(k+1,j,i) - prho(k-1,j,i) ) * & |
---|
2087 | dd2zu(k) * & |
---|
2088 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2089 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
2090 | ) * & |
---|
2091 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2092 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
2093 | ) |
---|
2094 | ENDDO |
---|
2095 | ! |
---|
2096 | !-- Treatment of near-surface grid points, at up- and down- |
---|
2097 | !-- ward facing surfaces |
---|
2098 | IF ( use_surface_fluxes ) THEN |
---|
2099 | DO l = 0, 1 |
---|
2100 | surf_s = surf_def_h(l)%start_index(j,i) |
---|
2101 | surf_e = surf_def_h(l)%end_index(j,i) |
---|
2102 | DO m = surf_s, surf_e |
---|
2103 | k = surf_def_h(l)%k(m) |
---|
2104 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2105 | MERGE( rho_reference, prho(k,j,i), & |
---|
2106 | use_single_reference_value ) * & |
---|
2107 | drho_air_zw(k-1) * & |
---|
2108 | surf_def_h(l)%shf(m) |
---|
2109 | ENDDO |
---|
2110 | ENDDO |
---|
2111 | |
---|
2112 | ENDIF |
---|
2113 | |
---|
2114 | IF ( use_top_fluxes ) THEN |
---|
2115 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
2116 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
2117 | DO m = surf_s, surf_e |
---|
2118 | k = surf_def_h(2)%k(m) |
---|
2119 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2120 | MERGE( rho_reference, prho(k,j,i), & |
---|
2121 | use_single_reference_value ) * & |
---|
2122 | drho_air_zw(k) * & |
---|
2123 | surf_def_h(2)%shf(m) |
---|
2124 | ENDDO |
---|
2125 | ENDIF |
---|
2126 | |
---|
2127 | ENDDO |
---|
2128 | |
---|
2129 | ELSE |
---|
2130 | |
---|
2131 | DO j = nys, nyn |
---|
2132 | DO k = nzb+1, nzt |
---|
2133 | ! |
---|
2134 | !-- Flag 9 is used to mask top fluxes, flag 30 to mask |
---|
2135 | !-- surface fluxes |
---|
2136 | tend(k,j,i) = tend(k,j,i) - & |
---|
2137 | kh(k,j,i) * g / & |
---|
2138 | MERGE( pt_reference, pt(k,j,i), & |
---|
2139 | use_single_reference_value ) * & |
---|
2140 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
2141 | dd2zu(k) * & |
---|
2142 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2143 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
2144 | ) * & |
---|
2145 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2146 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
2147 | ) |
---|
2148 | ENDDO |
---|
2149 | |
---|
2150 | IF ( use_surface_fluxes ) THEN |
---|
2151 | ! |
---|
2152 | !-- Default surfaces, up- and downward-facing |
---|
2153 | DO l = 0, 1 |
---|
2154 | surf_s = surf_def_h(l)%start_index(j,i) |
---|
2155 | surf_e = surf_def_h(l)%end_index(j,i) |
---|
2156 | DO m = surf_s, surf_e |
---|
2157 | k = surf_def_h(l)%k(m) |
---|
2158 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2159 | MERGE( pt_reference, pt(k,j,i), & |
---|
2160 | use_single_reference_value ) & |
---|
2161 | * drho_air_zw(k-1) & |
---|
2162 | * surf_def_h(l)%shf(m) |
---|
2163 | ENDDO |
---|
2164 | ENDDO |
---|
2165 | ! |
---|
2166 | !-- Natural surfaces |
---|
2167 | surf_s = surf_lsm_h%start_index(j,i) |
---|
2168 | surf_e = surf_lsm_h%end_index(j,i) |
---|
2169 | DO m = surf_s, surf_e |
---|
2170 | k = surf_lsm_h%k(m) |
---|
2171 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2172 | MERGE( pt_reference, pt(k,j,i), & |
---|
2173 | use_single_reference_value ) & |
---|
2174 | * drho_air_zw(k-1) & |
---|
2175 | * surf_lsm_h%shf(m) |
---|
2176 | ENDDO |
---|
2177 | ! |
---|
2178 | !-- Urban surfaces |
---|
2179 | surf_s = surf_usm_h%start_index(j,i) |
---|
2180 | surf_e = surf_usm_h%end_index(j,i) |
---|
2181 | DO m = surf_s, surf_e |
---|
2182 | k = surf_usm_h%k(m) |
---|
2183 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2184 | MERGE( pt_reference, pt(k,j,i), & |
---|
2185 | use_single_reference_value ) & |
---|
2186 | * drho_air_zw(k-1) & |
---|
2187 | * surf_usm_h%shf(m) |
---|
2188 | ENDDO |
---|
2189 | ENDIF |
---|
2190 | |
---|
2191 | IF ( use_top_fluxes ) THEN |
---|
2192 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
2193 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
2194 | DO m = surf_s, surf_e |
---|
2195 | k = surf_def_h(2)%k(m) |
---|
2196 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2197 | MERGE( pt_reference, pt(k,j,i), & |
---|
2198 | use_single_reference_value ) & |
---|
2199 | * drho_air_zw(k) & |
---|
2200 | * surf_def_h(2)%shf(m) |
---|
2201 | ENDDO |
---|
2202 | ENDIF |
---|
2203 | ENDDO |
---|
2204 | |
---|
2205 | ENDIF |
---|
2206 | |
---|
2207 | ELSE |
---|
2208 | |
---|
2209 | DO j = nys, nyn |
---|
2210 | |
---|
2211 | DO k = nzb+1, nzt |
---|
2212 | ! |
---|
2213 | !-- Flag 9 is used to mask top fluxes, flag 30 to mask |
---|
2214 | !-- surface fluxes |
---|
2215 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
2216 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
2217 | k2 = 0.61_wp * pt(k,j,i) |
---|
2218 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
2219 | g / & |
---|
2220 | MERGE( vpt_reference, vpt(k,j,i), & |
---|
2221 | use_single_reference_value ) * & |
---|
2222 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
2223 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
2224 | ) * dd2zu(k) * & |
---|
2225 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2226 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
2227 | ) * & |
---|
2228 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2229 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
2230 | ) |
---|
2231 | ELSE IF ( cloud_physics ) THEN |
---|
2232 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
2233 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
2234 | k2 = 0.61_wp * pt(k,j,i) |
---|
2235 | ELSE |
---|
2236 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
2237 | temp = theta * t_d_pt(k) |
---|
2238 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
2239 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
2240 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
2241 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
2242 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
2243 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
2244 | ENDIF |
---|
2245 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
2246 | g / & |
---|
2247 | MERGE( vpt_reference, vpt(k,j,i), & |
---|
2248 | use_single_reference_value ) * & |
---|
2249 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
2250 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
2251 | ) * dd2zu(k) * & |
---|
2252 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2253 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
2254 | ) * & |
---|
2255 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2256 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
2257 | ) |
---|
2258 | ELSE IF ( cloud_droplets ) THEN |
---|
2259 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
2260 | k2 = 0.61_wp * pt(k,j,i) |
---|
2261 | tend(k,j,i) = tend(k,j,i) - & |
---|
2262 | kh(k,j,i) * g / & |
---|
2263 | MERGE( vpt_reference, vpt(k,j,i), & |
---|
2264 | use_single_reference_value ) * & |
---|
2265 | ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
---|
2266 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
2267 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
2268 | ql(k-1,j,i) ) ) * dd2zu(k) * & |
---|
2269 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2270 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
2271 | ) * & |
---|
2272 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2273 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
2274 | ) |
---|
2275 | ENDIF |
---|
2276 | |
---|
2277 | ENDDO |
---|
2278 | |
---|
2279 | ENDDO |
---|
2280 | |
---|
2281 | IF ( use_surface_fluxes ) THEN |
---|
2282 | |
---|
2283 | DO j = nys, nyn |
---|
2284 | ! |
---|
2285 | !-- Treat horizontal default surfaces |
---|
2286 | DO l = 0, 1 |
---|
2287 | surf_s = surf_def_h(l)%start_index(j,i) |
---|
2288 | surf_e = surf_def_h(l)%end_index(j,i) |
---|
2289 | DO m = surf_s, surf_e |
---|
2290 | k = surf_def_h(l)%k(m) |
---|
2291 | |
---|
2292 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
2293 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
2294 | k2 = 0.61_wp * pt(k,j,i) |
---|
2295 | ELSE IF ( cloud_physics ) THEN |
---|
2296 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
2297 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
2298 | k2 = 0.61_wp * pt(k,j,i) |
---|
2299 | ELSE |
---|
2300 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
2301 | temp = theta * t_d_pt(k) |
---|
2302 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
2303 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
2304 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
2305 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
2306 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
2307 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
2308 | ENDIF |
---|
2309 | ELSE IF ( cloud_droplets ) THEN |
---|
2310 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
2311 | k2 = 0.61_wp * pt(k,j,i) |
---|
2312 | ENDIF |
---|
2313 | |
---|
2314 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2315 | MERGE( vpt_reference, vpt(k,j,i), & |
---|
2316 | use_single_reference_value ) * & |
---|
2317 | ( k1 * surf_def_h(l)%shf(m) + & |
---|
2318 | k2 * surf_def_h(l)%qsws(m) & |
---|
2319 | ) * drho_air_zw(k-1) |
---|
2320 | ENDDO |
---|
2321 | ENDDO |
---|
2322 | ! |
---|
2323 | !-- Treat horizontal natural surfaces |
---|
2324 | surf_s = surf_lsm_h%start_index(j,i) |
---|
2325 | surf_e = surf_lsm_h%end_index(j,i) |
---|
2326 | DO m = surf_s, surf_e |
---|
2327 | k = surf_lsm_h%k(m) |
---|
2328 | |
---|
2329 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
2330 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
2331 | k2 = 0.61_wp * pt(k,j,i) |
---|
2332 | ELSE IF ( cloud_physics ) THEN |
---|
2333 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
2334 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
2335 | k2 = 0.61_wp * pt(k,j,i) |
---|
2336 | ELSE |
---|
2337 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
2338 | temp = theta * t_d_pt(k) |
---|
2339 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
2340 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
2341 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
2342 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
2343 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
2344 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
2345 | ENDIF |
---|
2346 | ELSE IF ( cloud_droplets ) THEN |
---|
2347 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
2348 | k2 = 0.61_wp * pt(k,j,i) |
---|
2349 | ENDIF |
---|
2350 | |
---|
2351 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2352 | MERGE( vpt_reference, vpt(k,j,i), & |
---|
2353 | use_single_reference_value ) * & |
---|
2354 | ( k1 * surf_lsm_h%shf(m) + & |
---|
2355 | k2 * surf_lsm_h%qsws(m) & |
---|
2356 | ) * drho_air_zw(k-1) |
---|
2357 | ENDDO |
---|
2358 | ! |
---|
2359 | !-- Treat horizontal urban surfaces |
---|
2360 | surf_s = surf_usm_h%start_index(j,i) |
---|
2361 | surf_e = surf_usm_h%end_index(j,i) |
---|
2362 | DO m = surf_s, surf_e |
---|
2363 | k = surf_lsm_h%k(m) |
---|
2364 | |
---|
2365 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
2366 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
2367 | k2 = 0.61_wp * pt(k,j,i) |
---|
2368 | ELSE IF ( cloud_physics ) THEN |
---|
2369 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
2370 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
2371 | k2 = 0.61_wp * pt(k,j,i) |
---|
2372 | ELSE |
---|
2373 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
2374 | temp = theta * t_d_pt(k) |
---|
2375 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
2376 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
2377 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
2378 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
2379 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
2380 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
2381 | ENDIF |
---|
2382 | ELSE IF ( cloud_droplets ) THEN |
---|
2383 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
2384 | k2 = 0.61_wp * pt(k,j,i) |
---|
2385 | ENDIF |
---|
2386 | |
---|
2387 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2388 | MERGE( vpt_reference, vpt(k,j,i), & |
---|
2389 | use_single_reference_value ) * & |
---|
2390 | ( k1 * surf_usm_h%shf(m) + & |
---|
2391 | k2 * surf_usm_h%qsws(m) & |
---|
2392 | ) * drho_air_zw(k-1) |
---|
2393 | ENDDO |
---|
2394 | |
---|
2395 | ENDDO |
---|
2396 | |
---|
2397 | ENDIF |
---|
2398 | |
---|
2399 | IF ( use_top_fluxes ) THEN |
---|
2400 | |
---|
2401 | DO j = nys, nyn |
---|
2402 | |
---|
2403 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
2404 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
2405 | DO m = surf_s, surf_e |
---|
2406 | k = surf_def_h(2)%k(m) |
---|
2407 | |
---|
2408 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
2409 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
2410 | k2 = 0.61_wp * pt(k,j,i) |
---|
2411 | ELSE IF ( cloud_physics ) THEN |
---|
2412 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
2413 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
2414 | k2 = 0.61_wp * pt(k,j,i) |
---|
2415 | ELSE |
---|
2416 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
2417 | temp = theta * t_d_pt(k) |
---|
2418 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
2419 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
2420 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
2421 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
2422 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
2423 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
2424 | ENDIF |
---|
2425 | ELSE IF ( cloud_droplets ) THEN |
---|
2426 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
2427 | k2 = 0.61_wp * pt(k,j,i) |
---|
2428 | ENDIF |
---|
2429 | |
---|
2430 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2431 | MERGE( vpt_reference, vpt(k,j,i), & |
---|
2432 | use_single_reference_value ) * & |
---|
2433 | ( k1 * surf_def_h(2)%shf(m) + & |
---|
2434 | k2 * surf_def_h(2)%qsws(m) & |
---|
2435 | ) * drho_air_zw(k) |
---|
2436 | |
---|
2437 | ENDDO |
---|
2438 | |
---|
2439 | ENDDO |
---|
2440 | |
---|
2441 | ENDIF |
---|
2442 | |
---|
2443 | ENDIF |
---|
2444 | |
---|
2445 | ENDIF |
---|
2446 | |
---|
2447 | ENDDO |
---|
2448 | |
---|
2449 | END SUBROUTINE production_e |
---|
2450 | |
---|
2451 | |
---|
2452 | !------------------------------------------------------------------------------! |
---|
2453 | ! Description: |
---|
2454 | ! ------------ |
---|
2455 | !> Production terms (shear + buoyancy) of the TKE. |
---|
2456 | !> Cache-optimized version |
---|
2457 | !> @warning The case with constant_flux_layer = F and use_surface_fluxes = T is |
---|
2458 | !> not considered well! |
---|
2459 | !------------------------------------------------------------------------------! |
---|
2460 | SUBROUTINE production_e_ij( i, j ) |
---|
2461 | |
---|
2462 | USE arrays_3d, & |
---|
2463 | ONLY: ddzw, dd2zu, drho_air_zw, q, ql |
---|
2464 | |
---|
2465 | USE cloud_parameters, & |
---|
2466 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
---|
2467 | |
---|
2468 | USE control_parameters, & |
---|
2469 | ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, neutral, & |
---|
2470 | rho_reference, use_single_reference_value, use_surface_fluxes, & |
---|
2471 | use_top_fluxes |
---|
2472 | |
---|
2473 | USE grid_variables, & |
---|
2474 | ONLY: ddx, dx, ddy, dy |
---|
2475 | |
---|
2476 | USE surface_mod, & |
---|
2477 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
---|
2478 | surf_usm_v |
---|
2479 | |
---|
2480 | IMPLICIT NONE |
---|
2481 | |
---|
2482 | INTEGER(iwp) :: i !< running index x-direction |
---|
2483 | INTEGER(iwp) :: j !< running index y-direction |
---|
2484 | INTEGER(iwp) :: k !< running index z-direction |
---|
2485 | INTEGER(iwp) :: l !< running index for different surface type orientation |
---|
2486 | INTEGER(iwp) :: m !< running index surface elements |
---|
2487 | INTEGER(iwp) :: surf_e !< end index of surface elements at given i-j position |
---|
2488 | INTEGER(iwp) :: surf_s !< start index of surface elements at given i-j position |
---|
2489 | |
---|
2490 | REAL(wp) :: def !< |
---|
2491 | REAL(wp) :: flag !< flag to mask topography |
---|
2492 | REAL(wp) :: k1 !< |
---|
2493 | REAL(wp) :: k2 !< |
---|
2494 | REAL(wp) :: km_neutral !< diffusion coefficient assuming neutral conditions - used to compute shear production at surfaces |
---|
2495 | REAL(wp) :: theta !< |
---|
2496 | REAL(wp) :: temp !< |
---|
2497 | REAL(wp) :: sign_dir !< sign of wall-tke flux, depending on wall orientation |
---|
2498 | REAL(wp) :: usvs !< momentum flux u"v" |
---|
2499 | REAL(wp) :: vsus !< momentum flux v"u" |
---|
2500 | REAL(wp) :: wsus !< momentum flux w"u" |
---|
2501 | REAL(wp) :: wsvs !< momentum flux w"v" |
---|
2502 | |
---|
2503 | |
---|
2504 | REAL(wp), DIMENSION(nzb+1:nzt) :: dudx !< Gradient of u-component in x-direction |
---|
2505 | REAL(wp), DIMENSION(nzb+1:nzt) :: dudy !< Gradient of u-component in y-direction |
---|
2506 | REAL(wp), DIMENSION(nzb+1:nzt) :: dudz !< Gradient of u-component in z-direction |
---|
2507 | REAL(wp), DIMENSION(nzb+1:nzt) :: dvdx !< Gradient of v-component in x-direction |
---|
2508 | REAL(wp), DIMENSION(nzb+1:nzt) :: dvdy !< Gradient of v-component in y-direction |
---|
2509 | REAL(wp), DIMENSION(nzb+1:nzt) :: dvdz !< Gradient of v-component in z-direction |
---|
2510 | REAL(wp), DIMENSION(nzb+1:nzt) :: dwdx !< Gradient of w-component in x-direction |
---|
2511 | REAL(wp), DIMENSION(nzb+1:nzt) :: dwdy !< Gradient of w-component in y-direction |
---|
2512 | REAL(wp), DIMENSION(nzb+1:nzt) :: dwdz !< Gradient of w-component in z-direction |
---|
2513 | |
---|
2514 | |
---|
2515 | IF ( constant_flux_layer ) THEN |
---|
2516 | ! |
---|
2517 | !-- Calculate TKE production by shear. Calculate gradients at all grid |
---|
2518 | !-- points first, gradients at surface-bounded grid points will be |
---|
2519 | !-- overwritten further below. |
---|
2520 | DO k = nzb+1, nzt |
---|
2521 | |
---|
2522 | dudx(k) = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
2523 | dudy(k) = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
2524 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
2525 | dudz(k) = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
2526 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
2527 | |
---|
2528 | dvdx(k) = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
2529 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
2530 | dvdy(k) = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
2531 | dvdz(k) = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
2532 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
2533 | |
---|
2534 | dwdx(k) = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
2535 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
2536 | dwdy(k) = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
2537 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
2538 | dwdz(k) = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
2539 | |
---|
2540 | ENDDO |
---|
2541 | ! |
---|
2542 | !-- Compute gradients at north- and south-facing surfaces. |
---|
2543 | !-- Note, no vertical natural surfaces so far. |
---|
2544 | DO l = 0, 1 |
---|
2545 | ! |
---|
2546 | !-- Default surfaces |
---|
2547 | surf_s = surf_def_v(l)%start_index(j,i) |
---|
2548 | surf_e = surf_def_v(l)%end_index(j,i) |
---|
2549 | DO m = surf_s, surf_e |
---|
2550 | k = surf_def_v(l)%k(m) |
---|
2551 | usvs = surf_def_v(l)%mom_flux_tke(0,m) |
---|
2552 | wsvs = surf_def_v(l)%mom_flux_tke(1,m) |
---|
2553 | |
---|
2554 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
---|
2555 | * 0.5_wp * dy |
---|
2556 | ! |
---|
2557 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
2558 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
2559 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
---|
2560 | dudy(k) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
---|
2561 | dwdy(k) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
---|
2562 | ENDDO |
---|
2563 | ! |
---|
2564 | !-- Natural surfaces |
---|
2565 | surf_s = surf_lsm_v(l)%start_index(j,i) |
---|
2566 | surf_e = surf_lsm_v(l)%end_index(j,i) |
---|
2567 | DO m = surf_s, surf_e |
---|
2568 | k = surf_lsm_v(l)%k(m) |
---|
2569 | usvs = surf_lsm_v(l)%mom_flux_tke(0,m) |
---|
2570 | wsvs = surf_lsm_v(l)%mom_flux_tke(1,m) |
---|
2571 | |
---|
2572 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
---|
2573 | * 0.5_wp * dy |
---|
2574 | ! |
---|
2575 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
2576 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
2577 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
---|
2578 | dudy(k) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
---|
2579 | dwdy(k) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
---|
2580 | ENDDO |
---|
2581 | ! |
---|
2582 | !-- Urban surfaces |
---|
2583 | surf_s = surf_usm_v(l)%start_index(j,i) |
---|
2584 | surf_e = surf_usm_v(l)%end_index(j,i) |
---|
2585 | DO m = surf_s, surf_e |
---|
2586 | k = surf_usm_v(l)%k(m) |
---|
2587 | usvs = surf_usm_v(l)%mom_flux_tke(0,m) |
---|
2588 | wsvs = surf_usm_v(l)%mom_flux_tke(1,m) |
---|
2589 | |
---|
2590 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
---|
2591 | * 0.5_wp * dy |
---|
2592 | ! |
---|
2593 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
2594 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
2595 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
---|
2596 | dudy(k) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
---|
2597 | dwdy(k) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
---|
2598 | ENDDO |
---|
2599 | ENDDO |
---|
2600 | ! |
---|
2601 | !-- Compute gradients at east- and west-facing walls |
---|
2602 | DO l = 2, 3 |
---|
2603 | ! |
---|
2604 | !-- Default surfaces |
---|
2605 | surf_s = surf_def_v(l)%start_index(j,i) |
---|
2606 | surf_e = surf_def_v(l)%end_index(j,i) |
---|
2607 | DO m = surf_s, surf_e |
---|
2608 | k = surf_def_v(l)%k(m) |
---|
2609 | vsus = surf_def_v(l)%mom_flux_tke(0,m) |
---|
2610 | wsus = surf_def_v(l)%mom_flux_tke(1,m) |
---|
2611 | |
---|
2612 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
---|
2613 | * 0.5_wp * dx |
---|
2614 | ! |
---|
2615 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
2616 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
2617 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
---|
2618 | dvdx(k) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
---|
2619 | dwdx(k) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
---|
2620 | ENDDO |
---|
2621 | ! |
---|
2622 | !-- Natural surfaces |
---|
2623 | surf_s = surf_lsm_v(l)%start_index(j,i) |
---|
2624 | surf_e = surf_lsm_v(l)%end_index(j,i) |
---|
2625 | DO m = surf_s, surf_e |
---|
2626 | k = surf_lsm_v(l)%k(m) |
---|
2627 | vsus = surf_lsm_v(l)%mom_flux_tke(0,m) |
---|
2628 | wsus = surf_lsm_v(l)%mom_flux_tke(1,m) |
---|
2629 | |
---|
2630 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
---|
2631 | * 0.5_wp * dx |
---|
2632 | ! |
---|
2633 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
2634 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
2635 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
---|
2636 | dvdx(k) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
---|
2637 | dwdx(k) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
---|
2638 | ENDDO |
---|
2639 | ! |
---|
2640 | !-- Urban surfaces |
---|
2641 | surf_s = surf_usm_v(l)%start_index(j,i) |
---|
2642 | surf_e = surf_usm_v(l)%end_index(j,i) |
---|
2643 | DO m = surf_s, surf_e |
---|
2644 | k = surf_usm_v(l)%k(m) |
---|
2645 | vsus = surf_usm_v(l)%mom_flux_tke(0,m) |
---|
2646 | wsus = surf_usm_v(l)%mom_flux_tke(1,m) |
---|
2647 | |
---|
2648 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
---|
2649 | * 0.5_wp * dx |
---|
2650 | ! |
---|
2651 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
2652 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
2653 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
---|
2654 | dvdx(k) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
---|
2655 | dwdx(k) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
---|
2656 | ENDDO |
---|
2657 | ENDDO |
---|
2658 | ! |
---|
2659 | !-- Compute gradients at upward-facing walls, first for |
---|
2660 | !-- non-natural default surfaces |
---|
2661 | surf_s = surf_def_h(0)%start_index(j,i) |
---|
2662 | surf_e = surf_def_h(0)%end_index(j,i) |
---|
2663 | DO m = surf_s, surf_e |
---|
2664 | k = surf_def_h(0)%k(m) |
---|
2665 | ! |
---|
2666 | !-- Please note, actually, an interpolation of u_0 and v_0 |
---|
2667 | !-- onto the grid center would be required. However, this |
---|
2668 | !-- would require several data transfers between 2D-grid and |
---|
2669 | !-- wall type. The effect of this missing interpolation is |
---|
2670 | !-- negligible. (See also production_e_init). |
---|
2671 | dudz(k) = ( u(k+1,j,i) - surf_def_h(0)%u_0(m) ) * dd2zu(k) |
---|
2672 | dvdz(k) = ( v(k+1,j,i) - surf_def_h(0)%v_0(m) ) * dd2zu(k) |
---|
2673 | |
---|
2674 | ENDDO |
---|
2675 | ! |
---|
2676 | !-- Natural surfaces |
---|
2677 | surf_s = surf_lsm_h%start_index(j,i) |
---|
2678 | surf_e = surf_lsm_h%end_index(j,i) |
---|
2679 | DO m = surf_s, surf_e |
---|
2680 | k = surf_lsm_h%k(m) |
---|
2681 | |
---|
2682 | dudz(k) = ( u(k+1,j,i) - surf_lsm_h%u_0(m) ) * dd2zu(k) |
---|
2683 | dvdz(k) = ( v(k+1,j,i) - surf_lsm_h%v_0(m) ) * dd2zu(k) |
---|
2684 | ENDDO |
---|
2685 | ! |
---|
2686 | !-- Urban surfaces |
---|
2687 | surf_s = surf_usm_h%start_index(j,i) |
---|
2688 | surf_e = surf_usm_h%end_index(j,i) |
---|
2689 | DO m = surf_s, surf_e |
---|
2690 | k = surf_usm_h%k(m) |
---|
2691 | |
---|
2692 | dudz(k) = ( u(k+1,j,i) - surf_usm_h%u_0(m) ) * dd2zu(k) |
---|
2693 | dvdz(k) = ( v(k+1,j,i) - surf_usm_h%v_0(m) ) * dd2zu(k) |
---|
2694 | ENDDO |
---|
2695 | ! |
---|
2696 | !-- Compute gradients at downward-facing walls, only for |
---|
2697 | !-- non-natural default surfaces |
---|
2698 | surf_s = surf_def_h(1)%start_index(j,i) |
---|
2699 | surf_e = surf_def_h(1)%end_index(j,i) |
---|
2700 | DO m = surf_s, surf_e |
---|
2701 | k = surf_def_h(1)%k(m) |
---|
2702 | |
---|
2703 | dudz(k) = ( surf_def_h(1)%u_0(m) - u(k-1,j,i) ) * dd2zu(k) |
---|
2704 | dvdz(k) = ( surf_def_h(1)%v_0(m) - v(k-1,j,i) ) * dd2zu(k) |
---|
2705 | |
---|
2706 | ENDDO |
---|
2707 | |
---|
2708 | DO k = nzb+1, nzt |
---|
2709 | |
---|
2710 | def = 2.0_wp * ( dudx(k)**2 + dvdy(k)**2 + dwdz(k)**2 ) + & |
---|
2711 | dudy(k)**2 + dvdx(k)**2 + dwdx(k)**2 + & |
---|
2712 | dwdy(k)**2 + dudz(k)**2 + dvdz(k)**2 + & |
---|
2713 | 2.0_wp * ( dvdx(k)*dudy(k) + dwdx(k)*dudz(k) + dwdy(k)*dvdz(k) ) |
---|
2714 | |
---|
2715 | ! |
---|
2716 | !-- Production term according to Kato and Launder (1993) |
---|
2717 | ! def = SQRT( ( dudx(k) + dudy(k) + dudz(k) + & |
---|
2718 | ! dvdx(k) + dvdy(k) + dvdz(k) + & |
---|
2719 | ! dwdx(k) + dwdy(k) + dwdz(k) & |
---|
2720 | ! )**4 - & |
---|
2721 | ! ( dudx(k)**2 + dvdy(k)**2 + dwdz(k)**2 + & |
---|
2722 | ! 2.0_wp * ( dudy(k) * dvdx(k) + & |
---|
2723 | ! dudz(k) * dwdx(k) + & |
---|
2724 | ! dvdz(k) * dwdy(k) ) & |
---|
2725 | ! )**2 & |
---|
2726 | ! ) |
---|
2727 | |
---|
2728 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
2729 | |
---|
2730 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
2731 | |
---|
2732 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def * flag |
---|
2733 | |
---|
2734 | ENDDO |
---|
2735 | |
---|
2736 | ELSE |
---|
2737 | ! |
---|
2738 | !-- Calculate TKE production by shear. Here, no additional |
---|
2739 | !-- wall-bounded code is considered. |
---|
2740 | !-- Why? |
---|
2741 | DO k = nzb+1, nzt |
---|
2742 | |
---|
2743 | dudx(k) = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
2744 | dudy(k) = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
2745 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
2746 | dudz(k) = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
2747 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
2748 | |
---|
2749 | dvdx(k) = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
2750 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
2751 | dvdy(k) = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
2752 | dvdz(k) = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
2753 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
2754 | |
---|
2755 | dwdx(k) = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
2756 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
2757 | dwdy(k) = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
2758 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
2759 | dwdz(k) = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
2760 | |
---|
2761 | def = 2.0_wp * ( dudx(k)**2 + dvdy(k)**2 + dwdz(k)**2 ) + & |
---|
2762 | dudy(k)**2 + dvdx(k)**2 + dwdx(k)**2 + & |
---|
2763 | dwdy(k)**2 + dudz(k)**2 + dvdz(k)**2 + & |
---|
2764 | 2.0_wp * ( dvdx(k)*dudy(k) + dwdx(k)*dudz(k) + dwdy(k)*dvdz(k) ) |
---|
2765 | |
---|
2766 | ! |
---|
2767 | !-- Production term according to Kato and Launder (1993) |
---|
2768 | ! def = SQRT( ( dudx(k) + dudy(k) + dudz(k) + & |
---|
2769 | ! dvdx(k) + dvdy(k) + dvdz(k) + & |
---|
2770 | ! dwdx(k) + dwdy(k) + dwdz(k) & |
---|
2771 | ! )**4 - & |
---|
2772 | ! ( dudx(k)**2 + dvdy(k)**2 + dwdz(k)**2 + & |
---|
2773 | ! 2.0_wp * ( dudy(k) * dvdx(k) + & |
---|
2774 | ! dudz(k) * dwdx(k) + & |
---|
2775 | ! dvdz(k) * dwdy(k) ) & |
---|
2776 | ! )**2 & |
---|
2777 | ! ) |
---|
2778 | |
---|
2779 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
2780 | |
---|
2781 | flag = MERGE( 1.0_wp, 0.0_wp, & |
---|
2782 | BTEST( wall_flags_0(k,j,i), 29 ) ) |
---|
2783 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def * flag |
---|
2784 | |
---|
2785 | ENDDO |
---|
2786 | |
---|
2787 | ENDIF |
---|
2788 | |
---|
2789 | ! |
---|
2790 | !-- If required, calculate TKE production by buoyancy |
---|
2791 | IF ( .NOT. neutral ) THEN |
---|
2792 | |
---|
2793 | IF ( .NOT. humidity ) THEN |
---|
2794 | |
---|
2795 | IF ( ocean ) THEN |
---|
2796 | ! |
---|
2797 | !-- So far in the ocean no special treatment of density flux in |
---|
2798 | !-- the bottom and top surface layer |
---|
2799 | DO k = nzb+1, nzt |
---|
2800 | |
---|
2801 | tend(k,j,i) = tend(k,j,i) + & |
---|
2802 | kh(k,j,i) * g / & |
---|
2803 | MERGE( rho_reference, prho(k,j,i), & |
---|
2804 | use_single_reference_value ) * & |
---|
2805 | ( prho(k+1,j,i) - prho(k-1,j,i) ) * & |
---|
2806 | dd2zu(k) * & |
---|
2807 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2808 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
2809 | ) * & |
---|
2810 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2811 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
2812 | ) |
---|
2813 | ENDDO |
---|
2814 | |
---|
2815 | IF ( use_surface_fluxes ) THEN |
---|
2816 | ! |
---|
2817 | !-- Default surfaces, up- and downward-facing |
---|
2818 | DO l = 0, 1 |
---|
2819 | surf_s = surf_def_h(l)%start_index(j,i) |
---|
2820 | surf_e = surf_def_h(l)%end_index(j,i) |
---|
2821 | DO m = surf_s, surf_e |
---|
2822 | k = surf_def_h(l)%k(m) |
---|
2823 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2824 | MERGE( rho_reference, prho(k,j,i), & |
---|
2825 | use_single_reference_value ) * & |
---|
2826 | drho_air_zw(k-1) * & |
---|
2827 | surf_def_h(l)%shf(m) |
---|
2828 | ENDDO |
---|
2829 | ENDDO |
---|
2830 | |
---|
2831 | ENDIF |
---|
2832 | |
---|
2833 | IF ( use_top_fluxes ) THEN |
---|
2834 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
2835 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
2836 | DO m = surf_s, surf_e |
---|
2837 | k = surf_def_h(2)%k(m) |
---|
2838 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2839 | MERGE( rho_reference, prho(k,j,i), & |
---|
2840 | use_single_reference_value ) * & |
---|
2841 | drho_air_zw(k) * & |
---|
2842 | surf_def_h(2)%shf(m) |
---|
2843 | ENDDO |
---|
2844 | ENDIF |
---|
2845 | |
---|
2846 | ELSE |
---|
2847 | |
---|
2848 | DO k = nzb+1, nzt |
---|
2849 | ! |
---|
2850 | !-- Flag 9 is used to mask top fluxes, flag 30 to mask |
---|
2851 | !-- surface fluxes |
---|
2852 | tend(k,j,i) = tend(k,j,i) - & |
---|
2853 | kh(k,j,i) * g / & |
---|
2854 | MERGE( pt_reference, pt(k,j,i), & |
---|
2855 | use_single_reference_value ) * & |
---|
2856 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) * & |
---|
2857 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2858 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
2859 | ) * & |
---|
2860 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2861 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
2862 | ) |
---|
2863 | |
---|
2864 | ENDDO |
---|
2865 | |
---|
2866 | IF ( use_surface_fluxes ) THEN |
---|
2867 | ! |
---|
2868 | !-- Default surfaces, up- and downward-facing |
---|
2869 | DO l = 0, 1 |
---|
2870 | surf_s = surf_def_h(l)%start_index(j,i) |
---|
2871 | surf_e = surf_def_h(l)%end_index(j,i) |
---|
2872 | DO m = surf_s, surf_e |
---|
2873 | k = surf_def_h(l)%k(m) |
---|
2874 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2875 | MERGE( pt_reference, pt(k,j,i), & |
---|
2876 | use_single_reference_value ) * & |
---|
2877 | drho_air_zw(k-1) * & |
---|
2878 | surf_def_h(l)%shf(m) |
---|
2879 | ENDDO |
---|
2880 | ENDDO |
---|
2881 | ! |
---|
2882 | !-- Natural surfaces |
---|
2883 | surf_s = surf_lsm_h%start_index(j,i) |
---|
2884 | surf_e = surf_lsm_h%end_index(j,i) |
---|
2885 | DO m = surf_s, surf_e |
---|
2886 | k = surf_lsm_h%k(m) |
---|
2887 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2888 | MERGE( pt_reference, pt(k,j,i), & |
---|
2889 | use_single_reference_value ) * & |
---|
2890 | drho_air_zw(k-1) * & |
---|
2891 | surf_lsm_h%shf(m) |
---|
2892 | ENDDO |
---|
2893 | ! |
---|
2894 | !-- Urban surfaces |
---|
2895 | surf_s = surf_usm_h%start_index(j,i) |
---|
2896 | surf_e = surf_usm_h%end_index(j,i) |
---|
2897 | DO m = surf_s, surf_e |
---|
2898 | k = surf_usm_h%k(m) |
---|
2899 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2900 | MERGE( pt_reference, pt(k,j,i), & |
---|
2901 | use_single_reference_value ) * & |
---|
2902 | drho_air_zw(k-1) * & |
---|
2903 | surf_usm_h%shf(m) |
---|
2904 | ENDDO |
---|
2905 | ENDIF |
---|
2906 | |
---|
2907 | IF ( use_top_fluxes ) THEN |
---|
2908 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
2909 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
2910 | DO m = surf_s, surf_e |
---|
2911 | k = surf_def_h(2)%k(m) |
---|
2912 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
2913 | MERGE( pt_reference, pt(k,j,i), & |
---|
2914 | use_single_reference_value ) * & |
---|
2915 | drho_air_zw(k) * & |
---|
2916 | surf_def_h(2)%shf(m) |
---|
2917 | ENDDO |
---|
2918 | ENDIF |
---|
2919 | |
---|
2920 | ENDIF |
---|
2921 | |
---|
2922 | ELSE |
---|
2923 | |
---|
2924 | DO k = nzb+1, nzt |
---|
2925 | ! |
---|
2926 | !-- Flag 9 is used to mask top fluxes, flag 30 to mask surface fluxes |
---|
2927 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
2928 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
2929 | k2 = 0.61_wp * pt(k,j,i) |
---|
2930 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / & |
---|
2931 | MERGE( vpt_reference, vpt(k,j,i), & |
---|
2932 | use_single_reference_value ) * & |
---|
2933 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
2934 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
2935 | ) * dd2zu(k) * & |
---|
2936 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2937 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
2938 | ) * & |
---|
2939 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2940 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
2941 | ) |
---|
2942 | |
---|
2943 | ELSE IF ( cloud_physics ) THEN |
---|
2944 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
2945 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
2946 | k2 = 0.61_wp * pt(k,j,i) |
---|
2947 | ELSE |
---|
2948 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
2949 | temp = theta * t_d_pt(k) |
---|
2950 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
2951 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
2952 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
2953 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
2954 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
2955 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
2956 | ENDIF |
---|
2957 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / & |
---|
2958 | MERGE( vpt_reference, vpt(k,j,i), & |
---|
2959 | use_single_reference_value ) * & |
---|
2960 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
2961 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
2962 | ) * dd2zu(k) * & |
---|
2963 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2964 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
2965 | ) * & |
---|
2966 | MERGE( 1.0_wp, 0.0_wp, & |
---|
2967 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
2968 | ) |
---|
2969 | ELSE IF ( cloud_droplets ) THEN |
---|
2970 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
2971 | k2 = 0.61_wp * pt(k,j,i) |
---|
2972 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / & |
---|
2973 | MERGE( vpt_reference, vpt(k,j,i), & |
---|
2974 | use_single_reference_value ) * & |
---|
2975 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
2976 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
2977 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
2978 | ql(k-1,j,i) ) ) * dd2zu(k) & |
---|
2979 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
2980 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
2981 | ) & |
---|
2982 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
2983 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
2984 | ) |
---|
2985 | ENDIF |
---|
2986 | ENDDO |
---|
2987 | |
---|
2988 | IF ( use_surface_fluxes ) THEN |
---|
2989 | ! |
---|
2990 | !-- Treat horizontal default surfaces, up- and downward-facing |
---|
2991 | DO l = 0, 1 |
---|
2992 | surf_s = surf_def_h(l)%start_index(j,i) |
---|
2993 | surf_e = surf_def_h(l)%end_index(j,i) |
---|
2994 | DO m = surf_s, surf_e |
---|
2995 | k = surf_def_h(l)%k(m) |
---|
2996 | |
---|
2997 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
2998 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
2999 | k2 = 0.61_wp * pt(k,j,i) |
---|
3000 | ELSE IF ( cloud_physics ) THEN |
---|
3001 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
3002 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
3003 | k2 = 0.61_wp * pt(k,j,i) |
---|
3004 | ELSE |
---|
3005 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
3006 | temp = theta * t_d_pt(k) |
---|
3007 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
3008 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
3009 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
3010 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
3011 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
3012 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
3013 | ENDIF |
---|
3014 | ELSE IF ( cloud_droplets ) THEN |
---|
3015 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
3016 | k2 = 0.61_wp * pt(k,j,i) |
---|
3017 | ENDIF |
---|
3018 | |
---|
3019 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
3020 | MERGE( vpt_reference, vpt(k,j,i), & |
---|
3021 | use_single_reference_value ) * & |
---|
3022 | ( k1 * surf_def_h(l)%shf(m) + & |
---|
3023 | k2 * surf_def_h(l)%qsws(m) & |
---|
3024 | ) * drho_air_zw(k-1) |
---|
3025 | ENDDO |
---|
3026 | ENDDO |
---|
3027 | ! |
---|
3028 | !-- Treat horizontal natural surfaces |
---|
3029 | surf_s = surf_lsm_h%start_index(j,i) |
---|
3030 | surf_e = surf_lsm_h%end_index(j,i) |
---|
3031 | DO m = surf_s, surf_e |
---|
3032 | k = surf_lsm_h%k(m) |
---|
3033 | |
---|
3034 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
3035 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
3036 | k2 = 0.61_wp * pt(k,j,i) |
---|
3037 | ELSE IF ( cloud_physics ) THEN |
---|
3038 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
3039 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
3040 | k2 = 0.61_wp * pt(k,j,i) |
---|
3041 | ELSE |
---|
3042 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
3043 | temp = theta * t_d_pt(k) |
---|
3044 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
3045 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
3046 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
3047 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
3048 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
3049 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
3050 | ENDIF |
---|
3051 | ELSE IF ( cloud_droplets ) THEN |
---|
3052 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
3053 | k2 = 0.61_wp * pt(k,j,i) |
---|
3054 | ENDIF |
---|
3055 | |
---|
3056 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
3057 | MERGE( vpt_reference, vpt(k,j,i), & |
---|
3058 | use_single_reference_value ) * & |
---|
3059 | ( k1 * surf_lsm_h%shf(m) + & |
---|
3060 | k2 * surf_lsm_h%qsws(m) & |
---|
3061 | ) * drho_air_zw(k-1) |
---|
3062 | ENDDO |
---|
3063 | ! |
---|
3064 | !-- Treat horizontal urban surfaces |
---|
3065 | surf_s = surf_usm_h%start_index(j,i) |
---|
3066 | surf_e = surf_usm_h%end_index(j,i) |
---|
3067 | DO m = surf_s, surf_e |
---|
3068 | k = surf_usm_h%k(m) |
---|
3069 | |
---|
3070 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
3071 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
3072 | k2 = 0.61_wp * pt(k,j,i) |
---|
3073 | ELSE IF ( cloud_physics ) THEN |
---|
3074 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
3075 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
3076 | k2 = 0.61_wp * pt(k,j,i) |
---|
3077 | ELSE |
---|
3078 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
3079 | temp = theta * t_d_pt(k) |
---|
3080 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
3081 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
3082 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
3083 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
3084 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
3085 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
3086 | ENDIF |
---|
3087 | ELSE IF ( cloud_droplets ) THEN |
---|
3088 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
3089 | k2 = 0.61_wp * pt(k,j,i) |
---|
3090 | ENDIF |
---|
3091 | |
---|
3092 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
3093 | MERGE( vpt_reference, vpt(k,j,i), & |
---|
3094 | use_single_reference_value ) * & |
---|
3095 | ( k1 * surf_usm_h%shf(m) + & |
---|
3096 | k2 * surf_usm_h%qsws(m) & |
---|
3097 | ) * drho_air_zw(k-1) |
---|
3098 | ENDDO |
---|
3099 | |
---|
3100 | ENDIF |
---|
3101 | |
---|
3102 | IF ( use_top_fluxes ) THEN |
---|
3103 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
3104 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
3105 | DO m = surf_s, surf_e |
---|
3106 | k = surf_def_h(2)%k(m) |
---|
3107 | |
---|
3108 | |
---|
3109 | |
---|
3110 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
3111 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
3112 | k2 = 0.61_wp * pt(k,j,i) |
---|
3113 | ELSE IF ( cloud_physics ) THEN |
---|
3114 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
3115 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
3116 | k2 = 0.61_wp * pt(k,j,i) |
---|
3117 | ELSE |
---|
3118 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
3119 | temp = theta * t_d_pt(k) |
---|
3120 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
3121 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
3122 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
3123 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
3124 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
3125 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
3126 | ENDIF |
---|
3127 | ELSE IF ( cloud_droplets ) THEN |
---|
3128 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
3129 | k2 = 0.61_wp * pt(k,j,i) |
---|
3130 | ENDIF |
---|
3131 | |
---|
3132 | tend(k,j,i) = tend(k,j,i) + g / & |
---|
3133 | MERGE( vpt_reference, vpt(k,j,i), & |
---|
3134 | use_single_reference_value ) * & |
---|
3135 | ( k1* surf_def_h(2)%shf(m) + & |
---|
3136 | k2 * surf_def_h(2)%qsws(m) & |
---|
3137 | ) * drho_air_zw(k) |
---|
3138 | ENDDO |
---|
3139 | |
---|
3140 | ENDIF |
---|
3141 | |
---|
3142 | ENDIF |
---|
3143 | |
---|
3144 | ENDIF |
---|
3145 | |
---|
3146 | END SUBROUTINE production_e_ij |
---|
3147 | |
---|
3148 | |
---|
3149 | !------------------------------------------------------------------------------! |
---|
3150 | ! Description: |
---|
3151 | ! ------------ |
---|
3152 | !> Diffusion and dissipation terms for the TKE. |
---|
3153 | !> Vector-optimized version |
---|
3154 | !------------------------------------------------------------------------------! |
---|
3155 | SUBROUTINE diffusion_e( var, var_reference ) |
---|
3156 | |
---|
3157 | USE arrays_3d, & |
---|
3158 | ONLY: ddzu, ddzw, drho_air, rho_air_zw |
---|
3159 | |
---|
3160 | USE grid_variables, & |
---|
3161 | ONLY: ddx2, ddy2 |
---|
3162 | |
---|
3163 | USE microphysics_mod, & |
---|
3164 | ONLY: collision_turbulence |
---|
3165 | |
---|
3166 | USE particle_attributes, & |
---|
3167 | ONLY: use_sgs_for_particles, wang_kernel |
---|
3168 | |
---|
3169 | USE surface_mod, & |
---|
3170 | ONLY : bc_h |
---|
3171 | |
---|
3172 | IMPLICIT NONE |
---|
3173 | |
---|
3174 | INTEGER(iwp) :: i !< running index x direction |
---|
3175 | INTEGER(iwp) :: j !< running index y direction |
---|
3176 | INTEGER(iwp) :: k !< running index z direction |
---|
3177 | INTEGER(iwp) :: m !< running index surface elements |
---|
3178 | |
---|
3179 | REAL(wp) :: flag !< flag to mask topography |
---|
3180 | REAL(wp) :: l !< mixing length |
---|
3181 | REAL(wp) :: ll !< adjusted l |
---|
3182 | REAL(wp) :: var_reference !< |
---|
3183 | |
---|
3184 | #if defined( __nopointer ) |
---|
3185 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !< |
---|
3186 | #else |
---|
3187 | REAL(wp), DIMENSION(:,:,:), POINTER :: var !< |
---|
3188 | #endif |
---|
3189 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dissipation !< TKE dissipation |
---|
3190 | |
---|
3191 | |
---|
3192 | ! |
---|
3193 | !-- Calculate the tendency terms |
---|
3194 | DO i = nxl, nxr |
---|
3195 | DO j = nys, nyn |
---|
3196 | DO k = nzb+1, nzt |
---|
3197 | |
---|
3198 | ! |
---|
3199 | !-- Calculate dissipation |
---|
3200 | IF ( les_mw ) THEN |
---|
3201 | |
---|
3202 | CALL mixing_length_les( i, j, k, l, ll, var, var_reference ) |
---|
3203 | |
---|
3204 | dissipation(k,j) = ( 0.19_wp + 0.74_wp * l / ll ) & |
---|
3205 | * e(k,j,i) * SQRT( e(k,j,i) ) / l |
---|
3206 | |
---|
3207 | ELSEIF ( rans_tke_l ) THEN |
---|
3208 | |
---|
3209 | CALL mixing_length_rans( i, j, k, l, ll, var, var_reference ) |
---|
3210 | |
---|
3211 | dissipation(k,j) = c_m**3 * e(k,j,i) * SQRT( e(k,j,i) ) / ll |
---|
3212 | |
---|
3213 | ELSEIF ( rans_tke_e ) THEN |
---|
3214 | |
---|
3215 | dissipation(k,j) = diss(k,j,i) |
---|
3216 | |
---|
3217 | ENDIF |
---|
3218 | |
---|
3219 | ! |
---|
3220 | !-- Predetermine flag to mask topography |
---|
3221 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
3222 | |
---|
3223 | tend(k,j,i) = tend(k,j,i) & |
---|
3224 | + ( & |
---|
3225 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
---|
3226 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
---|
3227 | ) * ddx2 * flag & |
---|
3228 | + ( & |
---|
3229 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
---|
3230 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
---|
3231 | ) * ddy2 * flag & |
---|
3232 | + ( & |
---|
3233 | ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) & |
---|
3234 | * rho_air_zw(k) & |
---|
3235 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
---|
3236 | * rho_air_zw(k-1) & |
---|
3237 | ) * ddzw(k) * drho_air(k) * flag & |
---|
3238 | - dissipation(k,j) * flag |
---|
3239 | |
---|
3240 | ENDDO |
---|
3241 | ENDDO |
---|
3242 | |
---|
3243 | ! |
---|
3244 | !-- Store dissipation if needed for calculating the sgs particle |
---|
3245 | !-- velocities |
---|
3246 | IF ( .NOT. rans_tke_e .AND. ( use_sgs_for_particles .OR. & |
---|
3247 | wang_kernel .OR. collision_turbulence ) ) THEN |
---|
3248 | DO j = nys, nyn |
---|
3249 | DO k = nzb+1, nzt |
---|
3250 | diss(k,j,i) = dissipation(k,j) * MERGE( 1.0_wp, 0.0_wp, & |
---|
3251 | BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
3252 | ENDDO |
---|
3253 | ENDDO |
---|
3254 | ENDIF |
---|
3255 | |
---|
3256 | ENDDO |
---|
3257 | |
---|
3258 | ! |
---|
3259 | !-- Neumann boundary condition for dissipation diss(nzb,:,:) = diss(nzb+1,:,:) |
---|
3260 | IF ( .NOT. rans_tke_e .AND. ( use_sgs_for_particles .OR. & |
---|
3261 | wang_kernel .OR. collision_turbulence ) ) THEN |
---|
3262 | ! |
---|
3263 | !-- Upward facing surfaces |
---|
3264 | DO m = 1, bc_h(0)%ns |
---|
3265 | i = bc_h(0)%i(m) |
---|
3266 | j = bc_h(0)%j(m) |
---|
3267 | k = bc_h(0)%k(m) |
---|
3268 | diss(k-1,j,i) = diss(k,j,i) |
---|
3269 | ENDDO |
---|
3270 | ! |
---|
3271 | !-- Downward facing surfaces |
---|
3272 | DO m = 1, bc_h(1)%ns |
---|
3273 | i = bc_h(1)%i(m) |
---|
3274 | j = bc_h(1)%j(m) |
---|
3275 | k = bc_h(1)%k(m) |
---|
3276 | diss(k+1,j,i) = diss(k,j,i) |
---|
3277 | ENDDO |
---|
3278 | |
---|
3279 | ENDIF |
---|
3280 | |
---|
3281 | END SUBROUTINE diffusion_e |
---|
3282 | |
---|
3283 | |
---|
3284 | !------------------------------------------------------------------------------! |
---|
3285 | ! Description: |
---|
3286 | ! ------------ |
---|
3287 | !> Diffusion and dissipation terms for the TKE. |
---|
3288 | !> Cache-optimized version |
---|
3289 | !------------------------------------------------------------------------------! |
---|
3290 | SUBROUTINE diffusion_e_ij( i, j, var, var_reference ) |
---|
3291 | |
---|
3292 | USE arrays_3d, & |
---|
3293 | ONLY: ddzu, ddzw, drho_air, rho_air_zw |
---|
3294 | |
---|
3295 | USE grid_variables, & |
---|
3296 | ONLY: ddx2, ddy2 |
---|
3297 | |
---|
3298 | USE microphysics_mod, & |
---|
3299 | ONLY: collision_turbulence |
---|
3300 | |
---|
3301 | USE particle_attributes, & |
---|
3302 | ONLY: use_sgs_for_particles, wang_kernel |
---|
3303 | |
---|
3304 | USE surface_mod, & |
---|
3305 | ONLY : bc_h |
---|
3306 | |
---|
3307 | IMPLICIT NONE |
---|
3308 | |
---|
3309 | INTEGER(iwp) :: i !< running index x direction |
---|
3310 | INTEGER(iwp) :: j !< running index y direction |
---|
3311 | INTEGER(iwp) :: k !< running index z direction |
---|
3312 | INTEGER(iwp) :: m !< running index surface elements |
---|
3313 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
---|
3314 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
---|
3315 | |
---|
3316 | REAL(wp) :: flag !< flag to mask topography |
---|
3317 | REAL(wp) :: l !< mixing length |
---|
3318 | REAL(wp) :: ll !< adjusted l |
---|
3319 | REAL(wp) :: var_reference !< |
---|
3320 | |
---|
3321 | #if defined( __nopointer ) |
---|
3322 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !< |
---|
3323 | #else |
---|
3324 | REAL(wp), DIMENSION(:,:,:), POINTER :: var !< |
---|
3325 | #endif |
---|
3326 | REAL(wp), DIMENSION(nzb+1:nzt) :: dissipation !< dissipation of TKE |
---|
3327 | |
---|
3328 | ! |
---|
3329 | !-- Calculate the mixing length (for dissipation) |
---|
3330 | DO k = nzb+1, nzt |
---|
3331 | ! |
---|
3332 | !-- Predetermine flag to mask topography |
---|
3333 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
3334 | |
---|
3335 | ! |
---|
3336 | !-- Calculate dissipation... |
---|
3337 | !-- ...in case of LES |
---|
3338 | IF ( les_mw ) THEN |
---|
3339 | |
---|
3340 | CALL mixing_length_les( i, j, k, l, ll, var, var_reference ) |
---|
3341 | |
---|
3342 | dissipation(k) = ( 0.19_wp + 0.74_wp * l / ll ) & |
---|
3343 | * e(k,j,i) * SQRT( e(k,j,i) ) / l |
---|
3344 | |
---|
3345 | ! |
---|
3346 | !-- ...in case of RANS |
---|
3347 | ELSEIF ( rans_tke_l ) THEN |
---|
3348 | |
---|
3349 | CALL mixing_length_rans( i, j, k, l, ll, var, var_reference ) |
---|
3350 | |
---|
3351 | dissipation(k) = c_m**3 * e(k,j,i) * SQRT( e(k,j,i) ) / ll |
---|
3352 | |
---|
3353 | ELSEIF ( rans_tke_e ) THEN |
---|
3354 | |
---|
3355 | dissipation(k) = diss(k,j,i) |
---|
3356 | |
---|
3357 | ENDIF |
---|
3358 | |
---|
3359 | ! |
---|
3360 | !-- Calculate the tendency term |
---|
3361 | tend(k,j,i) = tend(k,j,i) & |
---|
3362 | + ( & |
---|
3363 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
---|
3364 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
---|
3365 | ) * ddx2 * flag / sig_e & |
---|
3366 | + ( & |
---|
3367 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
---|
3368 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
---|
3369 | ) * ddy2 * flag / sig_e & |
---|
3370 | + ( & |
---|
3371 | ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) & |
---|
3372 | * rho_air_zw(k) & |
---|
3373 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
---|
3374 | * rho_air_zw(k-1) & |
---|
3375 | ) * ddzw(k) * drho_air(k) * flag / sig_e & |
---|
3376 | - dissipation(k) * flag |
---|
3377 | |
---|
3378 | ENDDO |
---|
3379 | |
---|
3380 | ! |
---|
3381 | !-- Store dissipation if needed for calculating the sgs particle velocities |
---|
3382 | IF ( .NOT. rans_tke_e .AND. ( use_sgs_for_particles .OR. wang_kernel & |
---|
3383 | .OR. collision_turbulence ) ) THEN |
---|
3384 | DO k = nzb+1, nzt |
---|
3385 | diss(k,j,i) = dissipation(k) * MERGE( 1.0_wp, 0.0_wp, & |
---|
3386 | BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
3387 | ENDDO |
---|
3388 | ! |
---|
3389 | !-- Neumann boundary condition for dissipation diss(nzb,:,:) = diss(nzb+1,:,:) |
---|
3390 | !-- For each surface type determine start and end index (in case of elevated |
---|
3391 | !-- topography several up/downward facing surfaces may exist. |
---|
3392 | surf_s = bc_h(0)%start_index(j,i) |
---|
3393 | surf_e = bc_h(0)%end_index(j,i) |
---|
3394 | DO m = surf_s, surf_e |
---|
3395 | k = bc_h(0)%k(m) |
---|
3396 | diss(k-1,j,i) = diss(k,j,i) |
---|
3397 | ENDDO |
---|
3398 | ! |
---|
3399 | !-- Downward facing surfaces |
---|
3400 | surf_s = bc_h(1)%start_index(j,i) |
---|
3401 | surf_e = bc_h(1)%end_index(j,i) |
---|
3402 | DO m = surf_s, surf_e |
---|
3403 | k = bc_h(1)%k(m) |
---|
3404 | diss(k+1,j,i) = diss(k,j,i) |
---|
3405 | ENDDO |
---|
3406 | ENDIF |
---|
3407 | |
---|
3408 | END SUBROUTINE diffusion_e_ij |
---|
3409 | |
---|
3410 | |
---|
3411 | !------------------------------------------------------------------------------! |
---|
3412 | ! Description: |
---|
3413 | ! ------------ |
---|
3414 | !> Diffusion term for the TKE dissipation rate |
---|
3415 | !> Vector-optimized version |
---|
3416 | !------------------------------------------------------------------------------! |
---|
3417 | SUBROUTINE diffusion_diss() |
---|
3418 | USE arrays_3d, & |
---|
3419 | ONLY: ddzu, ddzw, drho_air, rho_air_zw |
---|
3420 | |
---|
3421 | USE grid_variables, & |
---|
3422 | ONLY: ddx2, ddy2 |
---|
3423 | |
---|
3424 | IMPLICIT NONE |
---|
3425 | |
---|
3426 | INTEGER(iwp) :: i !< running index x direction |
---|
3427 | INTEGER(iwp) :: j !< running index y direction |
---|
3428 | INTEGER(iwp) :: k !< running index z direction |
---|
3429 | |
---|
3430 | REAL(wp) :: flag !< flag to mask topography |
---|
3431 | |
---|
3432 | ! |
---|
3433 | !-- Calculate the tendency terms |
---|
3434 | DO i = nxl, nxr |
---|
3435 | DO j = nys, nyn |
---|
3436 | DO k = nzb+1, nzt |
---|
3437 | |
---|
3438 | ! |
---|
3439 | !-- Predetermine flag to mask topography |
---|
3440 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
3441 | |
---|
3442 | tend(k,j,i) = tend(k,j,i) & |
---|
3443 | + ( & |
---|
3444 | ( km(k,j,i)+km(k,j,i+1) ) * ( diss(k,j,i+1)-diss(k,j,i) ) & |
---|
3445 | - ( km(k,j,i)+km(k,j,i-1) ) * ( diss(k,j,i)-diss(k,j,i-1) ) & |
---|
3446 | ) * ddx2 * flag & |
---|
3447 | + ( & |
---|
3448 | ( km(k,j,i)+km(k,j+1,i) ) * ( diss(k,j+1,i)-diss(k,j,i) ) & |
---|
3449 | - ( km(k,j,i)+km(k,j-1,i) ) * ( diss(k,j,i)-diss(k,j-1,i) ) & |
---|
3450 | ) * ddy2 * flag & |
---|
3451 | + ( & |
---|
3452 | ( km(k,j,i)+km(k+1,j,i) ) * ( diss(k+1,j,i)-diss(k,j,i) ) * ddzu(k+1) & |
---|
3453 | * rho_air_zw(k) & |
---|
3454 | - ( km(k,j,i)+km(k-1,j,i) ) * ( diss(k,j,i)-diss(k-1,j,i) ) * ddzu(k) & |
---|
3455 | * rho_air_zw(k-1) & |
---|
3456 | ) * ddzw(k) * drho_air(k) * flag & |
---|
3457 | - c_2 * diss(k,j,i)**2 & |
---|
3458 | / ( e(k,j,i) + 1.0E-20_wp ) * flag |
---|
3459 | |
---|
3460 | ENDDO |
---|
3461 | ENDDO |
---|
3462 | ENDDO |
---|
3463 | |
---|
3464 | END SUBROUTINE diffusion_diss |
---|
3465 | |
---|
3466 | |
---|
3467 | !------------------------------------------------------------------------------! |
---|
3468 | ! Description: |
---|
3469 | ! ------------ |
---|
3470 | !> Diffusion term for the TKE dissipation rate |
---|
3471 | !> Cache-optimized version |
---|
3472 | !------------------------------------------------------------------------------! |
---|
3473 | SUBROUTINE diffusion_diss_ij( i, j ) |
---|
3474 | |
---|
3475 | USE arrays_3d, & |
---|
3476 | ONLY: ddzu, ddzw, drho_air, rho_air_zw |
---|
3477 | |
---|
3478 | USE grid_variables, & |
---|
3479 | ONLY: ddx2, ddy2 |
---|
3480 | |
---|
3481 | IMPLICIT NONE |
---|
3482 | |
---|
3483 | INTEGER(iwp) :: i !< running index x direction |
---|
3484 | INTEGER(iwp) :: j !< running index y direction |
---|
3485 | INTEGER(iwp) :: k !< running index z direction |
---|
3486 | |
---|
3487 | REAL(wp) :: flag !< flag to mask topography |
---|
3488 | |
---|
3489 | REAL(wp), DIMENSION(nzb+1:nzt) :: tend_temp |
---|
3490 | |
---|
3491 | ! |
---|
3492 | !-- Calculate the mixing length (for dissipation) |
---|
3493 | DO k = nzb+1, nzt |
---|
3494 | |
---|
3495 | ! |
---|
3496 | !-- Predetermine flag to mask topography |
---|
3497 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
3498 | |
---|
3499 | ! |
---|
3500 | !-- Calculate the tendency term |
---|
3501 | tend_temp(k) = ( & |
---|
3502 | ( km(k,j,i)+km(k,j,i+1) ) * ( diss(k,j,i+1)-diss(k,j,i) ) & |
---|
3503 | - ( km(k,j,i)+km(k,j,i-1) ) * ( diss(k,j,i)-diss(k,j,i-1) ) & |
---|
3504 | ) * ddx2 * flag / sig_diss & |
---|
3505 | + ( & |
---|
3506 | ( km(k,j,i)+km(k,j+1,i) ) * ( diss(k,j+1,i)-diss(k,j,i) ) & |
---|
3507 | - ( km(k,j,i)+km(k,j-1,i) ) * ( diss(k,j,i)-diss(k,j-1,i) ) & |
---|
3508 | ) * ddy2 * flag / sig_diss & |
---|
3509 | + ( & |
---|
3510 | ( km(k,j,i)+km(k+1,j,i) ) * ( diss(k+1,j,i)-diss(k,j,i) ) * ddzu(k+1) & |
---|
3511 | * rho_air_zw(k) & |
---|
3512 | - ( km(k,j,i)+km(k-1,j,i) ) * ( diss(k,j,i)-diss(k-1,j,i) ) * ddzu(k) & |
---|
3513 | * rho_air_zw(k-1) & |
---|
3514 | ) * ddzw(k) * drho_air(k) * flag / sig_diss & |
---|
3515 | - c_2 * diss(k,j,i)**2 & |
---|
3516 | / ( e(k,j,i) + 1.0E-20_wp ) * flag |
---|
3517 | |
---|
3518 | tend(k,j,i) = tend(k,j,i) + tend_temp(k) |
---|
3519 | |
---|
3520 | ENDDO |
---|
3521 | |
---|
3522 | END SUBROUTINE diffusion_diss_ij |
---|
3523 | |
---|
3524 | |
---|
3525 | !------------------------------------------------------------------------------! |
---|
3526 | ! Description: |
---|
3527 | ! ------------ |
---|
3528 | !> Calculate mixing length for LES mode. |
---|
3529 | !------------------------------------------------------------------------------! |
---|
3530 | SUBROUTINE mixing_length_les( i, j, k, l, ll, var, var_reference ) |
---|
3531 | |
---|
3532 | USE arrays_3d, & |
---|
3533 | ONLY: dd2zu, l_grid, l_wall |
---|
3534 | |
---|
3535 | USE control_parameters, & |
---|
3536 | ONLY: atmos_ocean_sign, g, use_single_reference_value, & |
---|
3537 | wall_adjustment, wall_adjustment_factor |
---|
3538 | |
---|
3539 | IMPLICIT NONE |
---|
3540 | |
---|
3541 | INTEGER(iwp) :: i !< loop index |
---|
3542 | INTEGER(iwp) :: j !< loop index |
---|
3543 | INTEGER(iwp) :: k !< loop index |
---|
3544 | |
---|
3545 | REAL(wp) :: dvar_dz !< vertical gradient of var |
---|
3546 | REAL(wp) :: l !< mixing length |
---|
3547 | REAL(wp) :: l_stable !< mixing length according to stratification |
---|
3548 | REAL(wp) :: ll !< adjusted l_grid |
---|
3549 | REAL(wp) :: var_reference !< var at reference height |
---|
3550 | |
---|
3551 | #if defined( __nopointer ) |
---|
3552 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !< temperature |
---|
3553 | #else |
---|
3554 | REAL(wp), DIMENSION(:,:,:), POINTER :: var !< temperature |
---|
3555 | #endif |
---|
3556 | |
---|
3557 | dvar_dz = atmos_ocean_sign * ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
---|
3558 | IF ( dvar_dz > 0.0_wp ) THEN |
---|
3559 | IF ( use_single_reference_value ) THEN |
---|
3560 | l_stable = 0.76_wp * SQRT( e(k,j,i) ) & |
---|
3561 | / SQRT( g / var_reference * dvar_dz ) + 1E-5_wp |
---|
3562 | ELSE |
---|
3563 | l_stable = 0.76_wp * SQRT( e(k,j,i) ) & |
---|
3564 | / SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp |
---|
3565 | ENDIF |
---|
3566 | ELSE |
---|
3567 | l_stable = l_grid(k) |
---|
3568 | ENDIF |
---|
3569 | ! |
---|
3570 | !-- Adjustment of the mixing length |
---|
3571 | IF ( wall_adjustment ) THEN |
---|
3572 | l = MIN( wall_adjustment_factor * l_wall(k,j,i), l_grid(k), l_stable ) |
---|
3573 | ll = MIN( wall_adjustment_factor * l_wall(k,j,i), l_grid(k) ) |
---|
3574 | ELSE |
---|
3575 | l = MIN( l_grid(k), l_stable ) |
---|
3576 | ll = l_grid(k) |
---|
3577 | ENDIF |
---|
3578 | |
---|
3579 | END SUBROUTINE mixing_length_les |
---|
3580 | |
---|
3581 | |
---|
3582 | !------------------------------------------------------------------------------! |
---|
3583 | ! Description: |
---|
3584 | ! ------------ |
---|
3585 | !> Calculate mixing length for RANS mode. |
---|
3586 | !------------------------------------------------------------------------------! |
---|
3587 | SUBROUTINE mixing_length_rans( i, j, k, l, l_diss, var, var_reference ) |
---|
3588 | |
---|
3589 | USE arrays_3d, & |
---|
3590 | ONLY: dd2zu |
---|
3591 | |
---|
3592 | USE control_parameters, & |
---|
3593 | ONLY: atmos_ocean_sign, g, use_single_reference_value |
---|
3594 | |
---|
3595 | IMPLICIT NONE |
---|
3596 | |
---|
3597 | INTEGER(iwp) :: i !< loop index |
---|
3598 | INTEGER(iwp) :: j !< loop index |
---|
3599 | INTEGER(iwp) :: k !< loop index |
---|
3600 | |
---|
3601 | REAL(wp) :: duv2_dz2 !< squared vertical gradient of wind vector |
---|
3602 | REAL(wp) :: dvar_dz !< vertical gradient of var |
---|
3603 | REAL(wp) :: l !< mixing length |
---|
3604 | REAL(wp) :: l_diss !< mixing length for dissipation |
---|
3605 | REAL(wp) :: rif !< Richardson flux number |
---|
3606 | REAL(wp) :: var_reference !< var at reference height |
---|
3607 | |
---|
3608 | #if defined( __nopointer ) |
---|
3609 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !< temperature |
---|
3610 | #else |
---|
3611 | REAL(wp), DIMENSION(:,:,:), POINTER :: var !< temperature |
---|
3612 | #endif |
---|
3613 | |
---|
3614 | dvar_dz = atmos_ocean_sign * ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
---|
3615 | |
---|
3616 | duv2_dz2 = ( ( u(k+1,j,i) - u(k-1,j,i) ) * dd2zu(k) )**2 & |
---|
3617 | + ( ( v(k+1,j,i) - v(k-1,j,i) ) * dd2zu(k) )**2 & |
---|
3618 | + 1E-30_wp |
---|
3619 | |
---|
3620 | IF ( use_single_reference_value ) THEN |
---|
3621 | rif = g / var_reference * dvar_dz / duv2_dz2 |
---|
3622 | ELSE |
---|
3623 | rif = g / var(k,j,i) * dvar_dz / duv2_dz2 |
---|
3624 | ENDIF |
---|
3625 | |
---|
3626 | rif = MAX( rif, -5.0_wp ) |
---|
3627 | rif = MIN( rif, 1.0_wp ) |
---|
3628 | |
---|
3629 | ! |
---|
3630 | !-- Calculate diabatic mixing length using Dyer-profile functions |
---|
3631 | IF ( rif >= 0.0_wp ) THEN |
---|
3632 | l = l_black(k) / ( 1.0_wp + 5.0_wp * rif ) |
---|
3633 | l_diss = l |
---|
3634 | ELSE |
---|
3635 | ! |
---|
3636 | !-- In case of unstable stratification, use mixing length of neutral case |
---|
3637 | !-- for l, but consider profile functions for l_diss |
---|
3638 | l = l_black(k) |
---|
3639 | l_diss = l_black(k) * SQRT( 1.0_wp - 16.0_wp * rif ) |
---|
3640 | ENDIF |
---|
3641 | |
---|
3642 | END SUBROUTINE mixing_length_rans |
---|
3643 | |
---|
3644 | |
---|
3645 | !------------------------------------------------------------------------------! |
---|
3646 | ! Description: |
---|
3647 | ! ------------ |
---|
3648 | !> Computation of the turbulent diffusion coefficients for momentum and heat |
---|
3649 | !> according to Prandtl-Kolmogorov. |
---|
3650 | !------------------------------------------------------------------------------! |
---|
3651 | SUBROUTINE tcm_diffusivities( var, var_reference ) |
---|
3652 | |
---|
3653 | |
---|
3654 | USE control_parameters, & |
---|
3655 | ONLY: e_min, outflow_l, outflow_n, outflow_r, outflow_s |
---|
3656 | |
---|
3657 | USE statistics, & |
---|
3658 | ONLY : rmask, sums_l_l |
---|
3659 | |
---|
3660 | USE surface_mod, & |
---|
3661 | ONLY : bc_h, surf_def_h |
---|
3662 | |
---|
3663 | IMPLICIT NONE |
---|
3664 | |
---|
3665 | INTEGER(iwp) :: i !< |
---|
3666 | INTEGER(iwp) :: j !< |
---|
3667 | INTEGER(iwp) :: k !< |
---|
3668 | INTEGER(iwp) :: m !< |
---|
3669 | INTEGER(iwp) :: n !< |
---|
3670 | INTEGER(iwp) :: omp_get_thread_num !< |
---|
3671 | INTEGER(iwp) :: sr !< |
---|
3672 | INTEGER(iwp) :: tn !< |
---|
3673 | |
---|
3674 | REAL(wp) :: flag !< |
---|
3675 | REAL(wp) :: l !< |
---|
3676 | REAL(wp) :: ll !< |
---|
3677 | REAL(wp) :: var_reference !< |
---|
3678 | |
---|
3679 | #if defined( __nopointer ) |
---|
3680 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !< |
---|
3681 | #else |
---|
3682 | REAL(wp), DIMENSION(:,:,:), POINTER :: var !< |
---|
3683 | #endif |
---|
3684 | |
---|
3685 | ! |
---|
3686 | !-- Default thread number in case of one thread |
---|
3687 | tn = 0 |
---|
3688 | |
---|
3689 | ! |
---|
3690 | !-- Initialization for calculation of the mixing length profile |
---|
3691 | sums_l_l = 0.0_wp |
---|
3692 | |
---|
3693 | ! |
---|
3694 | !-- Compute the turbulent diffusion coefficient for momentum |
---|
3695 | !$OMP PARALLEL PRIVATE (i,j,k,l,ll,sr,tn,flag) |
---|
3696 | !$ tn = omp_get_thread_num() |
---|
3697 | |
---|
3698 | ! |
---|
3699 | !-- Introduce an optional minimum tke |
---|
3700 | IF ( e_min > 0.0_wp ) THEN |
---|
3701 | !$OMP DO |
---|
3702 | DO i = nxlg, nxrg |
---|
3703 | DO j = nysg, nyng |
---|
3704 | DO k = nzb+1, nzt |
---|
3705 | e(k,j,i) = MAX( e(k,j,i), e_min ) * & |
---|
3706 | MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
3707 | ENDDO |
---|
3708 | ENDDO |
---|
3709 | ENDDO |
---|
3710 | ENDIF |
---|
3711 | |
---|
3712 | IF ( les_mw ) THEN |
---|
3713 | !$OMP DO |
---|
3714 | DO i = nxlg, nxrg |
---|
3715 | DO j = nysg, nyng |
---|
3716 | DO k = nzb+1, nzt |
---|
3717 | |
---|
3718 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
3719 | |
---|
3720 | ! |
---|
3721 | !-- Determine the mixing length for LES closure |
---|
3722 | CALL mixing_length_les( i, j, k, l, ll, var, var_reference ) |
---|
3723 | ! |
---|
3724 | !-- Compute diffusion coefficients for momentum and heat |
---|
3725 | km(k,j,i) = c_m * l * SQRT( e(k,j,i) ) * flag |
---|
3726 | kh(k,j,i) = ( 1.0_wp + 2.0_wp * l / ll ) * km(k,j,i) * flag |
---|
3727 | ! |
---|
3728 | !-- Summation for averaged profile (cf. flow_statistics) |
---|
3729 | DO sr = 0, statistic_regions |
---|
3730 | sums_l_l(k,sr,tn) = sums_l_l(k,sr,tn) + l * rmask(j,i,sr) & |
---|
3731 | * flag |
---|
3732 | ENDDO |
---|
3733 | |
---|
3734 | ENDDO |
---|
3735 | ENDDO |
---|
3736 | ENDDO |
---|
3737 | |
---|
3738 | ELSEIF ( rans_tke_l ) THEN |
---|
3739 | |
---|
3740 | !$OMP DO |
---|
3741 | DO i = nxlg, nxrg |
---|
3742 | DO j = nysg, nyng |
---|
3743 | DO k = nzb+1, nzt |
---|
3744 | |
---|
3745 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
3746 | ! |
---|
3747 | !-- Mixing length for RANS mode with TKE-l closure |
---|
3748 | CALL mixing_length_rans( i, j, k, l, ll, var, var_reference ) |
---|
3749 | ! |
---|
3750 | !-- Compute diffusion coefficients for momentum and heat |
---|
3751 | km(k,j,i) = c_m * l * SQRT( e(k,j,i) ) * flag |
---|
3752 | kh(k,j,i) = km(k,j,i) / prandtl_number * flag |
---|
3753 | ! |
---|
3754 | !-- Summation for averaged profile (cf. flow_statistics) |
---|
3755 | DO sr = 0, statistic_regions |
---|
3756 | sums_l_l(k,sr,tn) = sums_l_l(k,sr,tn) + l * rmask(j,i,sr) & |
---|
3757 | * flag |
---|
3758 | ENDDO |
---|
3759 | |
---|
3760 | ENDDO |
---|
3761 | ENDDO |
---|
3762 | ENDDO |
---|
3763 | |
---|
3764 | ELSEIF ( rans_tke_e ) THEN |
---|
3765 | |
---|
3766 | !$OMP DO |
---|
3767 | DO i = nxlg, nxrg |
---|
3768 | DO j = nysg, nyng |
---|
3769 | DO k = nzb+1, nzt |
---|
3770 | |
---|
3771 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
3772 | ! |
---|
3773 | !-- Compute diffusion coefficients for momentum and heat |
---|
3774 | km(k,j,i) = c_mu * e(k,j,i)**2 / ( diss(k,j,i) + 1.E-10 ) * flag |
---|
3775 | kh(k,j,i) = km(k,j,i) / prandtl_number * flag |
---|
3776 | |
---|
3777 | ENDDO |
---|
3778 | ENDDO |
---|
3779 | ENDDO |
---|
3780 | |
---|
3781 | ENDIF |
---|
3782 | |
---|
3783 | sums_l_l(nzt+1,:,tn) = sums_l_l(nzt,:,tn) ! quasi boundary-condition for |
---|
3784 | ! data output |
---|
3785 | !$OMP END PARALLEL |
---|
3786 | |
---|
3787 | ! |
---|
3788 | !-- Set vertical boundary values (Neumann conditions both at upward- and |
---|
3789 | !-- downward facing walls. To set wall-boundary values, the surface data type |
---|
3790 | !-- is applied. |
---|
3791 | !-- Horizontal boundary conditions at vertical walls are not set because |
---|
3792 | !-- so far vertical surfaces require usage of a Prandtl-layer where the boundary |
---|
3793 | !-- values of the diffusivities are not needed. |
---|
3794 | |
---|
3795 | IF ( .NOT. rans_tke_e ) THEN |
---|
3796 | ! |
---|
3797 | !-- Upward-facing |
---|
3798 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
3799 | DO m = 1, bc_h(0)%ns |
---|
3800 | i = bc_h(0)%i(m) |
---|
3801 | j = bc_h(0)%j(m) |
---|
3802 | k = bc_h(0)%k(m) |
---|
3803 | km(k-1,j,i) = km(k,j,i) |
---|
3804 | kh(k-1,j,i) = kh(k,j,i) |
---|
3805 | ENDDO |
---|
3806 | ! |
---|
3807 | !-- Downward facing surfaces |
---|
3808 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
3809 | DO m = 1, bc_h(1)%ns |
---|
3810 | i = bc_h(1)%i(m) |
---|
3811 | j = bc_h(1)%j(m) |
---|
3812 | k = bc_h(1)%k(m) |
---|
3813 | km(k+1,j,i) = km(k,j,i) |
---|
3814 | kh(k+1,j,i) = kh(k,j,i) |
---|
3815 | ENDDO |
---|
3816 | ELSE |
---|
3817 | ! |
---|
3818 | !-- Up- and downward facing surfaces |
---|
3819 | DO n = 0, 1 |
---|
3820 | DO m = 1, surf_def_h(n)%ns |
---|
3821 | i = surf_def_h(n)%i(m) |
---|
3822 | j = surf_def_h(n)%j(m) |
---|
3823 | k = surf_def_h(n)%k(m) |
---|
3824 | km(k,j,i) = kappa * surf_def_h(n)%us(m) * dzu(k) |
---|
3825 | kh(k,j,i) = 1.35_wp * km(k,j,i) |
---|
3826 | ENDDO |
---|
3827 | ENDDO |
---|
3828 | |
---|
3829 | CALL exchange_horiz( km, nbgp ) |
---|
3830 | CALL exchange_horiz( kh, nbgp ) |
---|
3831 | |
---|
3832 | ENDIF |
---|
3833 | ! |
---|
3834 | !-- Model top |
---|
3835 | !$OMP PARALLEL DO |
---|
3836 | DO i = nxlg, nxrg |
---|
3837 | DO j = nysg, nyng |
---|
3838 | km(nzt+1,j,i) = km(nzt,j,i) |
---|
3839 | kh(nzt+1,j,i) = kh(nzt,j,i) |
---|
3840 | ENDDO |
---|
3841 | ENDDO |
---|
3842 | |
---|
3843 | ! |
---|
3844 | !-- Set Neumann boundary conditions at the outflow boundaries in case of |
---|
3845 | !-- non-cyclic lateral boundaries |
---|
3846 | IF ( outflow_l ) THEN |
---|
3847 | km(:,:,nxl-1) = km(:,:,nxl) |
---|
3848 | kh(:,:,nxl-1) = kh(:,:,nxl) |
---|
3849 | ENDIF |
---|
3850 | IF ( outflow_r ) THEN |
---|
3851 | km(:,:,nxr+1) = km(:,:,nxr) |
---|
3852 | kh(:,:,nxr+1) = kh(:,:,nxr) |
---|
3853 | ENDIF |
---|
3854 | IF ( outflow_s ) THEN |
---|
3855 | km(:,nys-1,:) = km(:,nys,:) |
---|
3856 | kh(:,nys-1,:) = kh(:,nys,:) |
---|
3857 | ENDIF |
---|
3858 | IF ( outflow_n ) THEN |
---|
3859 | km(:,nyn+1,:) = km(:,nyn,:) |
---|
3860 | kh(:,nyn+1,:) = kh(:,nyn,:) |
---|
3861 | ENDIF |
---|
3862 | |
---|
3863 | END SUBROUTINE tcm_diffusivities |
---|
3864 | |
---|
3865 | |
---|
3866 | !------------------------------------------------------------------------------! |
---|
3867 | ! Description: |
---|
3868 | ! ------------ |
---|
3869 | !> Swapping of timelevels. |
---|
3870 | !------------------------------------------------------------------------------! |
---|
3871 | SUBROUTINE tcm_swap_timelevel ( mod_count ) |
---|
3872 | |
---|
3873 | IMPLICIT NONE |
---|
3874 | |
---|
3875 | INTEGER(iwp) :: i !< loop index x direction |
---|
3876 | INTEGER(iwp) :: j !< loop index y direction |
---|
3877 | INTEGER(iwp) :: k !< loop index z direction |
---|
3878 | INTEGER, INTENT(IN) :: mod_count !< |
---|
3879 | |
---|
3880 | #if defined( __nopointer ) |
---|
3881 | |
---|
3882 | IF ( .NOT. constant_diffusion ) THEN |
---|
3883 | DO i = nxlg, nxrg |
---|
3884 | DO j = nysg, nyng |
---|
3885 | DO k = nzb, nzt+1 |
---|
3886 | e(k,j,i) = e_p(k,j,i) |
---|
3887 | ENDDO |
---|
3888 | ENDDO |
---|
3889 | ENDDO |
---|
3890 | ENDIF |
---|
3891 | |
---|
3892 | IF ( rans_tke_e ) THEN |
---|
3893 | DO i = nxlg, nxrg |
---|
3894 | DO j = nysg, nyng |
---|
3895 | DO k = nzb, nzt+1 |
---|
3896 | diss(k,j,i) = diss_p(k,j,i) |
---|
3897 | ENDDO |
---|
3898 | ENDDO |
---|
3899 | ENDDO |
---|
3900 | ENDIF |
---|
3901 | |
---|
3902 | #else |
---|
3903 | |
---|
3904 | SELECT CASE ( mod_count ) |
---|
3905 | |
---|
3906 | CASE ( 0 ) |
---|
3907 | |
---|
3908 | IF ( .NOT. constant_diffusion ) THEN |
---|
3909 | e => e_1; e_p => e_2 |
---|
3910 | ENDIF |
---|
3911 | |
---|
3912 | IF ( rans_tke_e ) THEN |
---|
3913 | diss => diss_1; diss_p => diss_2 |
---|
3914 | ENDIF |
---|
3915 | |
---|
3916 | CASE ( 1 ) |
---|
3917 | |
---|
3918 | IF ( .NOT. constant_diffusion ) THEN |
---|
3919 | e => e_2; e_p => e_1 |
---|
3920 | ENDIF |
---|
3921 | |
---|
3922 | IF ( rans_tke_e ) THEN |
---|
3923 | diss => diss_2; diss_p => diss_1 |
---|
3924 | ENDIF |
---|
3925 | |
---|
3926 | END SELECT |
---|
3927 | #endif |
---|
3928 | |
---|
3929 | END SUBROUTINE tcm_swap_timelevel |
---|
3930 | |
---|
3931 | |
---|
3932 | END MODULE turbulence_closure_mod |
---|