1 | !> @synthetic_turbulence_generator_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 2017-2019 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: synthetic_turbulence_generator_mod.f90 4182 2019-08-22 15:20:23Z moh.hefny $ |
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27 | ! Corrected "Former revisions" section |
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28 | ! |
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29 | ! 4148 2019-08-08 11:26:00Z suehring |
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30 | ! Remove unused variable |
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31 | ! |
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32 | ! 4144 2019-08-06 09:11:47Z raasch |
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33 | ! relational operators .EQ., .NE., etc. replaced by ==, /=, etc. |
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34 | ! |
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35 | ! 4071 2019-07-03 20:02:00Z suehring |
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36 | ! Bugfix, initialize mean_inflow_profiles in case turbulence and inflow |
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37 | ! information is not read from file. |
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38 | ! |
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39 | ! 4022 2019-06-12 11:52:39Z suehring |
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40 | ! Several bugfixes and improvements |
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41 | ! - revise bias correction of the imposed perturbations (correction via volume |
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42 | ! flow can create instabilities in case the mean volume flow is close to zero) |
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43 | ! - introduce lower limits in calculation of coefficient matrix, else the |
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44 | ! calculation may become numerically unstable |
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45 | ! - impose perturbations every timestep, even though no new set of perturbations |
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46 | ! is generated in case dt_stg_call /= dt_3d |
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47 | ! - Implement a gradual decrease of Reynolds stress and length scales above |
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48 | ! ABL height (within 1 length scale above ABL depth to 1/10) rather than a |
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49 | ! discontinuous decrease |
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50 | ! - Bugfix in non-nested case: use ABL height for parametrized turbulence |
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51 | ! |
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52 | ! 3987 2019-05-22 09:52:13Z kanani |
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53 | ! Introduce alternative switch for debug output during timestepping |
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54 | ! |
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55 | ! 3938 2019-04-29 16:06:25Z suehring |
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56 | ! Remove unused variables |
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57 | ! |
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58 | ! 3937 2019-04-29 15:09:07Z suehring |
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59 | ! Minor bugfix in case of a very early restart where mc_factor is sill not |
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60 | ! present. |
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61 | ! Some modification and fixing of potential bugs in the calculation of scaling |
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62 | ! parameters used for synthetic turbulence parametrization. |
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63 | ! |
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64 | ! 3909 2019-04-17 09:13:25Z suehring |
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65 | ! Minor bugfix for last commit |
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66 | ! |
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67 | ! 3900 2019-04-16 15:17:43Z suehring |
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68 | ! Missing re-calculation of perturbation seeds in case of restarts |
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69 | ! |
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70 | ! 3891 2019-04-12 17:52:01Z suehring |
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71 | ! Bugfix in initialization in case of restart runs. |
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72 | ! |
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73 | ! 3885 2019-04-11 11:29:34Z kanani |
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74 | ! Changes related to global restructuring of location messages and introduction |
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75 | ! of additional debug messages |
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76 | ! |
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77 | ! |
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78 | ! removed unused variables |
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79 | ! |
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80 | ! 3719 2019-02-06 13:10:18Z kanani |
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81 | ! Removed log_point measurement from stg_init, since this part is counted to |
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82 | ! log_point(2) 'initialisation' already. Moved other log_points to calls of |
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83 | ! the subroutines in time_integration for better overview. |
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84 | ! |
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85 | ! 2259 2017-06-08 09:09:11Z gronemeier |
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86 | ! Initial revision |
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87 | ! |
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88 | ! Authors: |
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89 | ! -------- |
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90 | ! @author Tobias Gronemeier, Matthias Suehring, Atsushi Inagaki, Micha Gryschka, Christoph Knigge |
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91 | ! |
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92 | ! |
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93 | ! Description: |
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94 | ! ------------ |
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95 | !> The module generates turbulence at the inflow boundary based on a method by |
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96 | !> Xie and Castro (2008) utilizing a Lund rotation (Lund, 1998) and a mass-flux |
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97 | !> correction by Kim et al. (2013). |
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98 | !> The turbulence is correlated based on length scales in y- and z-direction and |
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99 | !> a time scale for each velocity component. The profiles of length and time |
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100 | !> scales, mean u, v, w, e and pt, and all components of the Reynolds stress |
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101 | !> tensor can be either read from file STG_PROFILES, or will be parametrized |
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102 | !> within the boundary layer. |
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103 | !> |
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104 | !> @todo test restart |
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105 | !> enable cyclic_fill |
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106 | !> implement turbulence generation for e and pt |
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107 | !> @todo Input of height-constant length scales via namelist |
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108 | !> @note <Enter notes on the module> |
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109 | !> @bug Height information from input file is not used. Profiles from input |
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110 | !> must match with current PALM grid. |
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111 | !> In case of restart, velocity seeds differ from precursor run if a11, |
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112 | !> a22, or a33 are zero. |
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113 | !------------------------------------------------------------------------------! |
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114 | MODULE synthetic_turbulence_generator_mod |
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115 | |
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116 | |
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117 | USE arrays_3d, & |
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118 | ONLY: dzw, & |
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119 | ddzw, & |
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120 | drho_air, & |
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121 | mean_inflow_profiles, & |
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122 | q, & |
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123 | q_init, & |
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124 | pt, & |
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125 | pt_init, & |
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126 | u, & |
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127 | u_init, & |
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128 | v, & |
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129 | v_init, & |
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130 | w, & |
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131 | zu, & |
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132 | zw |
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133 | |
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134 | USE basic_constants_and_equations_mod, & |
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135 | ONLY: g, & |
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136 | kappa, & |
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137 | pi |
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138 | |
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139 | USE control_parameters, & |
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140 | ONLY: bc_lr, & |
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141 | bc_ns, & |
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142 | child_domain, & |
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143 | coupling_char, & |
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144 | debug_output_timestep, & |
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145 | dt_3d, & |
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146 | e_init, & |
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147 | humidity, & |
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148 | initializing_actions, & |
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149 | intermediate_timestep_count, & |
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150 | intermediate_timestep_count_max, & |
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151 | length, & |
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152 | message_string, & |
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153 | nesting_offline, & |
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154 | neutral, & |
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155 | num_mean_inflow_profiles, & |
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156 | rans_mode, & |
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157 | restart_string, & |
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158 | syn_turb_gen, & |
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159 | time_since_reference_point, & |
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160 | turbulent_inflow |
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161 | |
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162 | USE grid_variables, & |
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163 | ONLY: ddx, & |
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164 | ddy, & |
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165 | dx, & |
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166 | dy |
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167 | |
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168 | USE indices, & |
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169 | ONLY: nbgp, & |
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170 | nz, & |
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171 | nzb, & |
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172 | nzt, & |
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173 | nx, & |
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174 | nxl, & |
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175 | nxlu, & |
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176 | nxlg, & |
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177 | nxr, & |
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178 | nxrg, & |
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179 | ny, & |
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180 | nys, & |
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181 | nysv, & |
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182 | nyn, & |
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183 | nyng, & |
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184 | nysg, & |
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185 | wall_flags_0 |
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186 | |
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187 | USE kinds |
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188 | |
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189 | #if defined( __parallel ) && !defined( __mpifh ) |
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190 | USE MPI |
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191 | #endif |
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192 | |
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193 | USE nesting_offl_mod, & |
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194 | ONLY: nesting_offl_calc_zi, & |
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195 | zi_ribulk |
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196 | |
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197 | USE pegrid, & |
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198 | ONLY: comm1dx, & |
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199 | comm1dy, & |
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200 | comm2d, & |
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201 | ierr, & |
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202 | myidx, & |
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203 | myidy, & |
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204 | pdims |
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205 | |
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206 | USE pmc_interface, & |
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207 | ONLY : rans_mode_parent |
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208 | |
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209 | USE transpose_indices, & |
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210 | ONLY: nzb_x, & |
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211 | nzt_x |
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212 | |
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213 | |
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214 | IMPLICIT NONE |
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215 | |
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216 | #if defined( __parallel ) && defined( __mpifh ) |
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217 | INCLUDE "mpif.h" |
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218 | #endif |
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219 | |
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220 | |
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221 | LOGICAL :: velocity_seed_initialized = .FALSE. !< true after first call of stg_main |
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222 | LOGICAL :: parametrize_inflow_turbulence = .FALSE. !< flag indicating that inflow turbulence is either read from file (.FALSE.) or if it parametrized |
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223 | LOGICAL :: use_syn_turb_gen = .FALSE. !< switch to use synthetic turbulence generator |
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224 | |
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225 | INTEGER(iwp) :: id_stg_left !< left lateral boundary core id in case of turbulence generator |
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226 | INTEGER(iwp) :: id_stg_north !< north lateral boundary core id in case of turbulence generator |
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227 | INTEGER(iwp) :: id_stg_right !< right lateral boundary core id in case of turbulence generator |
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228 | INTEGER(iwp) :: id_stg_south !< south lateral boundary core id in case of turbulence generator |
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229 | INTEGER(iwp) :: stg_type_xz !< MPI type for full z range |
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230 | INTEGER(iwp) :: stg_type_xz_small !< MPI type for small z range |
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231 | INTEGER(iwp) :: stg_type_yz !< MPI type for full z range |
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232 | INTEGER(iwp) :: stg_type_yz_small !< MPI type for small z range |
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233 | INTEGER(iwp) :: merg !< maximum length scale (in gp) |
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234 | INTEGER(iwp) :: mergp !< merg + nbgp |
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235 | INTEGER(iwp) :: nzb_x_stg !< lower bound of z coordinate (required for transposing z on PEs along x) |
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236 | INTEGER(iwp) :: nzt_x_stg !< upper bound of z coordinate (required for transposing z on PEs along x) |
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237 | INTEGER(iwp) :: nzb_y_stg !< lower bound of z coordinate (required for transposing z on PEs along y) |
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238 | INTEGER(iwp) :: nzt_y_stg !< upper bound of z coordinate (required for transposing z on PEs along y) |
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239 | |
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240 | INTEGER(iwp), DIMENSION(3) :: nr_non_topo_xz = 0 !< number of non-topography grid points at xz cross-sections, |
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241 | !< required for bias correction of imposed perturbations |
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242 | INTEGER(iwp), DIMENSION(3) :: nr_non_topo_yz = 0 !< number of non-topography grid points at yz cross-sections, |
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243 | !< required for bias correction of imposed perturbations |
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244 | |
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245 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_xz !< displacement for MPI_GATHERV |
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246 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_xz !< receive count for MPI_GATHERV |
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247 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs_yz !< displacement for MPI_GATHERV |
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248 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count_yz !< receive count for MPI_GATHERV |
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249 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nux !< length scale of u in x direction (in gp) |
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250 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuy !< length scale of u in y direction (in gp) |
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251 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuz !< length scale of u in z direction (in gp) |
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252 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvx !< length scale of v in x direction (in gp) |
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253 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvy !< length scale of v in y direction (in gp) |
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254 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvz !< length scale of v in z direction (in gp) |
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255 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwx !< length scale of w in x direction (in gp) |
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256 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwy !< length scale of w in y direction (in gp) |
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257 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwz !< length scale of w in z direction (in gp) |
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258 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: seed !< seed of random number for rn-generator |
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259 | |
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260 | REAL(wp) :: blend !< value to create gradually and smooth blending of Reynolds stress and length |
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261 | !< scales above the boundary layer |
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262 | REAL(wp) :: blend_coeff = -2.3_wp !< coefficient used to ensure that blending functions decreases to 1/10 after |
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263 | !< one length scale above ABL top |
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264 | REAL(wp) :: d_l !< blend_coeff/length_scale |
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265 | REAL(wp) :: length_scale !< length scale, default is 8 x minimum grid spacing |
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266 | REAL(wp) :: dt_stg_adjust = 300.0_wp !< time interval for adjusting turbulence statistics |
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267 | REAL(wp) :: dt_stg_call = 5.0_wp !< time interval for calling synthetic turbulence generator |
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268 | REAL(wp) :: scale_l !< scaling parameter used for turbulence parametrization - Obukhov length |
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269 | REAL(wp) :: scale_us !< scaling parameter used for turbulence parametrization - friction velocity |
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270 | REAL(wp) :: scale_wm !< scaling parameter used for turbulence parametrization - momentum scale |
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271 | REAL(wp) :: time_stg_adjust = 0.0_wp !< time counter for adjusting turbulence information |
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272 | REAL(wp) :: time_stg_call = 0.0_wp !< time counter for calling generator |
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273 | |
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274 | REAL(wp), DIMENSION(3) :: mc_factor = 1.0_wp !< correction factor for the u,v,w-components to maintain original mass flux |
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275 | |
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276 | |
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277 | REAL(wp),DIMENSION(:), ALLOCATABLE :: r11 !< Reynolds parameter |
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278 | REAL(wp),DIMENSION(:), ALLOCATABLE :: r21 !< Reynolds parameter |
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279 | REAL(wp),DIMENSION(:), ALLOCATABLE :: r22 !< Reynolds parameter |
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280 | REAL(wp),DIMENSION(:), ALLOCATABLE :: r31 !< Reynolds parameter |
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281 | REAL(wp),DIMENSION(:), ALLOCATABLE :: r32 !< Reynolds parameter |
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282 | REAL(wp),DIMENSION(:), ALLOCATABLE :: r33 !< Reynolds parameter |
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283 | |
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284 | REAL(wp), DIMENSION(:), ALLOCATABLE :: a11 !< coefficient for Lund rotation |
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285 | REAL(wp), DIMENSION(:), ALLOCATABLE :: a21 !< coefficient for Lund rotation |
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286 | REAL(wp), DIMENSION(:), ALLOCATABLE :: a22 !< coefficient for Lund rotation |
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287 | REAL(wp), DIMENSION(:), ALLOCATABLE :: a31 !< coefficient for Lund rotation |
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288 | REAL(wp), DIMENSION(:), ALLOCATABLE :: a32 !< coefficient for Lund rotation |
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289 | REAL(wp), DIMENSION(:), ALLOCATABLE :: a33 !< coefficient for Lund rotation |
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290 | REAL(wp), DIMENSION(:), ALLOCATABLE :: tu !< Lagrangian time scale of u |
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291 | REAL(wp), DIMENSION(:), ALLOCATABLE :: tv !< Lagrangian time scale of v |
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292 | REAL(wp), DIMENSION(:), ALLOCATABLE :: tw !< Lagrangian time scale of w |
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293 | |
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294 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bux !< filter function for u in x direction |
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295 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buy !< filter function for u in y direction |
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296 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buz !< filter function for u in z direction |
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297 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvx !< filter function for v in x direction |
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298 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvy !< filter function for v in y direction |
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299 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvz !< filter function for v in z direction |
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300 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwx !< filter function for w in y direction |
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301 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwy !< filter function for w in y direction |
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302 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwz !< filter function for w in z direction |
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303 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_xz !< velocity seed for u at xz plane |
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304 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_xz !< velocity seed for u at xz plane with new random number |
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305 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu_yz !< velocity seed for u at yz plane |
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306 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo_yz !< velocity seed for u at yz plane with new random number |
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307 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_xz !< velocity seed for v at xz plane |
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308 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_xz !< velocity seed for v at xz plane with new random number |
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309 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv_yz !< velocity seed for v at yz plane |
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310 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo_yz !< velocity seed for v at yz plane with new random number |
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311 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_xz !< velocity seed for w at xz plane |
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312 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_xz !< velocity seed for w at xz plane with new random number |
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313 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw_yz !< velocity seed for w at yz plane |
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314 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo_yz !< velocity seed for w at yz plane with new random number |
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315 | |
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316 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: dist_xz !< imposed disturbances at north/south boundary |
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317 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: dist_yz !< imposed disturbances at north/south boundary |
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318 | |
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319 | ! |
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320 | !-- PALM interfaces: |
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321 | !-- Adjust time and lenght scales, Reynolds stress, and filter functions |
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322 | INTERFACE stg_adjust |
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323 | MODULE PROCEDURE stg_adjust |
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324 | END INTERFACE stg_adjust |
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325 | ! |
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326 | !-- Input parameter checks to be done in check_parameters |
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327 | INTERFACE stg_check_parameters |
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328 | MODULE PROCEDURE stg_check_parameters |
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329 | END INTERFACE stg_check_parameters |
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330 | |
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331 | ! |
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332 | !-- Calculate filter functions |
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333 | INTERFACE stg_filter_func |
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334 | MODULE PROCEDURE stg_filter_func |
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335 | END INTERFACE stg_filter_func |
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336 | |
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337 | ! |
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338 | !-- Generate velocity seeds at south and north domain boundary |
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339 | INTERFACE stg_generate_seed_xz |
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340 | MODULE PROCEDURE stg_generate_seed_xz |
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341 | END INTERFACE stg_generate_seed_xz |
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342 | ! |
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343 | !-- Generate velocity seeds at left and/or right domain boundary |
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344 | INTERFACE stg_generate_seed_yz |
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345 | MODULE PROCEDURE stg_generate_seed_yz |
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346 | END INTERFACE stg_generate_seed_yz |
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347 | |
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348 | ! |
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349 | !-- Output of information to the header file |
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350 | INTERFACE stg_header |
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351 | MODULE PROCEDURE stg_header |
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352 | END INTERFACE stg_header |
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353 | |
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354 | ! |
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355 | !-- Initialization actions |
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356 | INTERFACE stg_init |
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357 | MODULE PROCEDURE stg_init |
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358 | END INTERFACE stg_init |
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359 | |
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360 | ! |
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361 | !-- Main procedure of synth. turb. gen. |
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362 | INTERFACE stg_main |
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363 | MODULE PROCEDURE stg_main |
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364 | END INTERFACE stg_main |
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365 | |
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366 | ! |
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367 | !-- Reading of NAMELIST parameters |
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368 | INTERFACE stg_parin |
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369 | MODULE PROCEDURE stg_parin |
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370 | END INTERFACE stg_parin |
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371 | |
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372 | ! |
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373 | !-- Reading of parameters for restart runs |
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374 | INTERFACE stg_rrd_global |
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375 | MODULE PROCEDURE stg_rrd_global |
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376 | END INTERFACE stg_rrd_global |
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377 | |
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378 | ! |
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379 | !-- Writing of binary output for restart runs |
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380 | INTERFACE stg_wrd_global |
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381 | MODULE PROCEDURE stg_wrd_global |
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382 | END INTERFACE stg_wrd_global |
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383 | |
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384 | SAVE |
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385 | |
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386 | PRIVATE |
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387 | |
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388 | ! |
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389 | !-- Public interfaces |
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390 | PUBLIC stg_adjust, stg_check_parameters, stg_header, stg_init, stg_main, & |
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391 | stg_parin, stg_rrd_global, stg_wrd_global |
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392 | |
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393 | ! |
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394 | !-- Public variables |
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395 | PUBLIC dt_stg_call, dt_stg_adjust, id_stg_left, id_stg_north, & |
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396 | id_stg_right, id_stg_south, parametrize_inflow_turbulence, & |
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397 | time_stg_adjust, time_stg_call, use_syn_turb_gen |
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398 | |
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399 | |
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400 | CONTAINS |
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401 | |
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402 | |
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403 | !------------------------------------------------------------------------------! |
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404 | ! Description: |
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405 | ! ------------ |
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406 | !> Check parameters routine for synthetic turbulence generator |
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407 | !------------------------------------------------------------------------------! |
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408 | SUBROUTINE stg_check_parameters |
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409 | |
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410 | IMPLICIT NONE |
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411 | |
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412 | IF ( .NOT. use_syn_turb_gen .AND. .NOT. rans_mode .AND. & |
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413 | nesting_offline ) THEN |
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414 | message_string = 'Synthetic turbulence generator is required ' // & |
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415 | 'if offline nesting is applied and PALM operates ' // & |
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416 | 'in LES mode.' |
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417 | CALL message( 'stg_check_parameters', 'PA0520', 0, 0, 0, 6, 0 ) |
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418 | ENDIF |
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419 | |
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420 | IF ( .NOT. use_syn_turb_gen .AND. child_domain & |
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421 | .AND. rans_mode_parent .AND. .NOT. rans_mode ) THEN |
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422 | message_string = 'Synthetic turbulence generator is required ' // & |
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423 | 'when nesting is applied and parent operates in ' // & |
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424 | 'RANS-mode but current child in LES mode.' |
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425 | CALL message( 'stg_check_parameters', 'PA0524', 1, 2, 0, 6, 0 ) |
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426 | ENDIF |
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427 | |
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428 | IF ( use_syn_turb_gen ) THEN |
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429 | |
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430 | IF ( child_domain .AND. .NOT. rans_mode .AND. & |
---|
431 | .NOT. rans_mode_parent ) THEN |
---|
432 | message_string = 'Using synthetic turbulence generator ' // & |
---|
433 | 'is not allowed in LES-LES nesting.' |
---|
434 | CALL message( 'stg_check_parameters', 'PA0620', 1, 2, 0, 6, 0 ) |
---|
435 | |
---|
436 | ENDIF |
---|
437 | |
---|
438 | IF ( child_domain .AND. rans_mode .AND. & |
---|
439 | rans_mode_parent ) THEN |
---|
440 | message_string = 'Using synthetic turbulence generator ' // & |
---|
441 | 'is not allowed in RANS-RANS nesting.' |
---|
442 | CALL message( 'stg_check_parameters', 'PA0621', 1, 2, 0, 6, 0 ) |
---|
443 | |
---|
444 | ENDIF |
---|
445 | |
---|
446 | IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN |
---|
447 | |
---|
448 | IF ( INDEX( initializing_actions, 'set_constant_profiles' ) == 0 & |
---|
449 | .AND. INDEX( initializing_actions, 'read_restart_data' ) == 0 ) THEN |
---|
450 | message_string = 'Using synthetic turbulence generator ' // & |
---|
451 | 'requires %initializing_actions = ' // & |
---|
452 | '"set_constant_profiles" or "read_restart_data"' //& |
---|
453 | ', if not offline nesting is applied.' |
---|
454 | CALL message( 'stg_check_parameters', 'PA0015', 1, 2, 0, 6, 0 ) |
---|
455 | ENDIF |
---|
456 | |
---|
457 | IF ( bc_lr /= 'dirichlet/radiation' ) THEN |
---|
458 | message_string = 'Using synthetic turbulence generator ' // & |
---|
459 | 'requires &bc_lr = "dirichlet/radiation", ' // & |
---|
460 | 'if not offline nesting is applied.' |
---|
461 | CALL message( 'stg_check_parameters', 'PA0035', 1, 2, 0, 6, 0 ) |
---|
462 | ENDIF |
---|
463 | IF ( bc_ns /= 'cyclic' ) THEN |
---|
464 | message_string = 'Using synthetic turbulence generator ' // & |
---|
465 | 'requires &bc_ns = "cyclic", ' // & |
---|
466 | 'if not offline nesting is applied.' |
---|
467 | CALL message( 'stg_check_parameters', 'PA0037', 1, 2, 0, 6, 0 ) |
---|
468 | ENDIF |
---|
469 | |
---|
470 | ENDIF |
---|
471 | |
---|
472 | IF ( turbulent_inflow ) THEN |
---|
473 | message_string = 'Using synthetic turbulence generator ' // & |
---|
474 | 'in combination &with turbulent_inflow = .T. '// & |
---|
475 | 'is not allowed' |
---|
476 | CALL message( 'stg_check_parameters', 'PA0039', 1, 2, 0, 6, 0 ) |
---|
477 | ENDIF |
---|
478 | |
---|
479 | ENDIF |
---|
480 | |
---|
481 | END SUBROUTINE stg_check_parameters |
---|
482 | |
---|
483 | |
---|
484 | !------------------------------------------------------------------------------! |
---|
485 | ! Description: |
---|
486 | ! ------------ |
---|
487 | !> Header output for synthetic turbulence generator |
---|
488 | !------------------------------------------------------------------------------! |
---|
489 | SUBROUTINE stg_header ( io ) |
---|
490 | |
---|
491 | |
---|
492 | IMPLICIT NONE |
---|
493 | |
---|
494 | INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file |
---|
495 | |
---|
496 | ! |
---|
497 | !-- Write synthetic turbulence generator Header |
---|
498 | WRITE( io, 1 ) |
---|
499 | IF ( use_syn_turb_gen ) THEN |
---|
500 | WRITE( io, 2 ) |
---|
501 | ELSE |
---|
502 | WRITE( io, 3 ) |
---|
503 | ENDIF |
---|
504 | |
---|
505 | IF ( parametrize_inflow_turbulence ) THEN |
---|
506 | WRITE( io, 4 ) dt_stg_adjust |
---|
507 | ELSE |
---|
508 | WRITE( io, 5 ) |
---|
509 | ENDIF |
---|
510 | |
---|
511 | 1 FORMAT (//' Synthetic turbulence generator information:'/ & |
---|
512 | ' ------------------------------------------'/) |
---|
513 | 2 FORMAT (' synthetic turbulence generator is switched on') |
---|
514 | 3 FORMAT (' synthetic turbulence generator is switched off') |
---|
515 | 4 FORMAT (' imposed turbulence statistics are parametrized and ajdusted to boundary-layer development each ', F8.2, ' s' ) |
---|
516 | 5 FORMAT (' imposed turbulence is read from file' ) |
---|
517 | |
---|
518 | END SUBROUTINE stg_header |
---|
519 | |
---|
520 | |
---|
521 | !------------------------------------------------------------------------------! |
---|
522 | ! Description: |
---|
523 | ! ------------ |
---|
524 | !> Initialization of the synthetic turbulence generator |
---|
525 | !------------------------------------------------------------------------------! |
---|
526 | SUBROUTINE stg_init |
---|
527 | |
---|
528 | IMPLICIT NONE |
---|
529 | |
---|
530 | LOGICAL :: file_stg_exist = .FALSE. !< flag indicating whether parameter file for Reynolds stress and length scales exist |
---|
531 | |
---|
532 | #if defined( __parallel ) |
---|
533 | INTEGER(KIND=MPI_ADDRESS_KIND) :: extent !< extent of new MPI type |
---|
534 | INTEGER(KIND=MPI_ADDRESS_KIND) :: tob=0 !< dummy variable |
---|
535 | #endif |
---|
536 | |
---|
537 | INTEGER(iwp) :: i !> grid index in x-direction |
---|
538 | INTEGER(iwp) :: j !> loop index |
---|
539 | INTEGER(iwp) :: k !< index |
---|
540 | INTEGER(iwp) :: newtype !< dummy MPI type |
---|
541 | INTEGER(iwp) :: realsize !< size of REAL variables |
---|
542 | INTEGER(iwp) :: nseed !< dimension of random number seed |
---|
543 | INTEGER(iwp) :: startseed = 1234567890 !< start seed for random number generator |
---|
544 | |
---|
545 | INTEGER(iwp), DIMENSION(3) :: nr_non_topo_xz_l = 0 !< number of non-topography grid points at xz-cross-section on subdomain |
---|
546 | INTEGER(iwp), DIMENSION(3) :: nr_non_topo_yz_l = 0 !< number of non-topography grid points at yz-cross-section on subdomain |
---|
547 | ! |
---|
548 | !-- Dummy variables used for reading profiles |
---|
549 | REAL(wp) :: d1 !< u profile |
---|
550 | REAL(wp) :: d2 !< v profile |
---|
551 | REAL(wp) :: d3 !< w profile |
---|
552 | REAL(wp) :: d5 !< e profile |
---|
553 | REAL(wp) :: luy !< length scale for u in y direction |
---|
554 | REAL(wp) :: luz !< length scale for u in z direction |
---|
555 | REAL(wp) :: lvy !< length scale for v in y direction |
---|
556 | REAL(wp) :: lvz !< length scale for v in z direction |
---|
557 | REAL(wp) :: lwy !< length scale for w in y direction |
---|
558 | REAL(wp) :: lwz !< length scale for w in z direction |
---|
559 | REAL(wp) :: nnz !< increment used to determine processor decomposition of z-axis along x and y direction |
---|
560 | REAL(wp) :: zz !< height |
---|
561 | |
---|
562 | |
---|
563 | #if defined( __parallel ) |
---|
564 | CALL MPI_BARRIER( comm2d, ierr ) |
---|
565 | #endif |
---|
566 | |
---|
567 | #if defined( __parallel ) |
---|
568 | ! |
---|
569 | !-- Determine processor decomposition of z-axis along x- and y-direction |
---|
570 | nnz = nz / pdims(1) |
---|
571 | nzb_x_stg = 1 + myidx * INT( nnz ) |
---|
572 | nzt_x_stg = ( myidx + 1 ) * INT( nnz ) |
---|
573 | |
---|
574 | IF ( MOD( nz , pdims(1) ) /= 0 .AND. myidx == id_stg_right ) & |
---|
575 | nzt_x_stg = nzt_x_stg + myidx * ( nnz - INT( nnz ) ) |
---|
576 | |
---|
577 | IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent & |
---|
578 | .AND. .NOT. rans_mode ) ) THEN |
---|
579 | nnz = nz / pdims(2) |
---|
580 | nzb_y_stg = 1 + myidy * INT( nnz ) |
---|
581 | nzt_y_stg = ( myidy + 1 ) * INT( nnz ) |
---|
582 | |
---|
583 | IF ( MOD( nz , pdims(2) ) /= 0 .AND. myidy == id_stg_north ) & |
---|
584 | nzt_y_stg = nzt_y_stg + myidy * ( nnz - INT( nnz ) ) |
---|
585 | ENDIF |
---|
586 | |
---|
587 | ! |
---|
588 | !-- Define MPI type used in stg_generate_seed_yz to gather vertical splitted |
---|
589 | !-- velocity seeds |
---|
590 | CALL MPI_TYPE_SIZE( MPI_REAL, realsize, ierr ) |
---|
591 | extent = 1 * realsize |
---|
592 | ! |
---|
593 | !-- Set-up MPI datatyp to involve all cores for turbulence generation at yz |
---|
594 | !-- layer |
---|
595 | !-- stg_type_yz: yz-slice with vertical bounds nzb:nzt+1 |
---|
596 | CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nyng-nysg+1], & |
---|
597 | [1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr ) |
---|
598 | CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz, ierr ) |
---|
599 | CALL MPI_TYPE_COMMIT( stg_type_yz, ierr ) |
---|
600 | CALL MPI_TYPE_FREE( newtype, ierr ) |
---|
601 | |
---|
602 | ! stg_type_yz_small: yz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1 |
---|
603 | CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_x_stg-nzb_x_stg+2,nyng-nysg+1], & |
---|
604 | [1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr ) |
---|
605 | CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz_small, ierr ) |
---|
606 | CALL MPI_TYPE_COMMIT( stg_type_yz_small, ierr ) |
---|
607 | CALL MPI_TYPE_FREE( newtype, ierr ) |
---|
608 | |
---|
609 | ! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz |
---|
610 | ALLOCATE( recv_count_yz(pdims(1)), displs_yz(pdims(1)) ) |
---|
611 | |
---|
612 | recv_count_yz = nzt_x_stg-nzb_x_stg + 1 |
---|
613 | recv_count_yz(pdims(1)) = recv_count_yz(pdims(1)) + 1 |
---|
614 | |
---|
615 | DO j = 1, pdims(1) |
---|
616 | displs_yz(j) = 0 + (nzt_x_stg-nzb_x_stg+1) * (j-1) |
---|
617 | ENDDO |
---|
618 | ! |
---|
619 | !-- Set-up MPI datatyp to involve all cores for turbulence generation at xz |
---|
620 | !-- layer |
---|
621 | !-- stg_type_xz: xz-slice with vertical bounds nzb:nzt+1 |
---|
622 | IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent & |
---|
623 | .AND. .NOT. rans_mode ) ) THEN |
---|
624 | CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nxrg-nxlg+1], & |
---|
625 | [1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr ) |
---|
626 | CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz, ierr ) |
---|
627 | CALL MPI_TYPE_COMMIT( stg_type_xz, ierr ) |
---|
628 | CALL MPI_TYPE_FREE( newtype, ierr ) |
---|
629 | |
---|
630 | ! stg_type_yz_small: xz-slice with vertical bounds nzb_x_stg:nzt_x_stg+1 |
---|
631 | CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_y_stg-nzb_y_stg+2,nxrg-nxlg+1], & |
---|
632 | [1,nxrg-nxlg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr ) |
---|
633 | CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_xz_small, ierr ) |
---|
634 | CALL MPI_TYPE_COMMIT( stg_type_xz_small, ierr ) |
---|
635 | CALL MPI_TYPE_FREE( newtype, ierr ) |
---|
636 | |
---|
637 | ! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz |
---|
638 | ALLOCATE( recv_count_xz(pdims(2)), displs_xz(pdims(2)) ) |
---|
639 | |
---|
640 | recv_count_xz = nzt_y_stg-nzb_y_stg + 1 |
---|
641 | recv_count_xz(pdims(2)) = recv_count_xz(pdims(2)) + 1 |
---|
642 | |
---|
643 | DO j = 1, pdims(2) |
---|
644 | displs_xz(j) = 0 + (nzt_y_stg-nzb_y_stg+1) * (j-1) |
---|
645 | ENDDO |
---|
646 | |
---|
647 | ENDIF |
---|
648 | |
---|
649 | #endif |
---|
650 | ! |
---|
651 | !-- Define seed of random number |
---|
652 | CALL RANDOM_SEED() |
---|
653 | CALL RANDOM_SEED( size=nseed ) |
---|
654 | ALLOCATE( seed(1:nseed) ) |
---|
655 | DO j = 1, nseed |
---|
656 | seed(j) = startseed + j |
---|
657 | ENDDO |
---|
658 | CALL RANDOM_SEED(put=seed) |
---|
659 | ! |
---|
660 | !-- Allocate required arrays. |
---|
661 | !-- In case no offline nesting or self nesting is used, the arrary |
---|
662 | !-- mean_inflow profiles is required. Check if it is already allocated, else |
---|
663 | !-- allocate and initialize it appropriately. Note, in case turbulence and |
---|
664 | !-- inflow information is read from file, mean_inflow_profiles is already |
---|
665 | !-- allocated and initialized appropriately. |
---|
666 | IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN |
---|
667 | IF ( .NOT. ALLOCATED( mean_inflow_profiles ) ) THEN |
---|
668 | ALLOCATE( mean_inflow_profiles(nzb:nzt+1,1:num_mean_inflow_profiles) ) |
---|
669 | mean_inflow_profiles = 0.0_wp |
---|
670 | mean_inflow_profiles(:,1) = u_init |
---|
671 | mean_inflow_profiles(:,2) = v_init |
---|
672 | ! |
---|
673 | !-- Even though potential temperature and humidity are not perturbed, |
---|
674 | !-- they need to be initialized appropriately. |
---|
675 | IF ( .NOT. neutral ) & |
---|
676 | mean_inflow_profiles(:,4) = pt_init |
---|
677 | IF ( humidity ) & |
---|
678 | mean_inflow_profiles(:,6) = q_init |
---|
679 | ENDIF |
---|
680 | ENDIF |
---|
681 | |
---|
682 | ALLOCATE ( a11(nzb:nzt+1), a21(nzb:nzt+1), a22(nzb:nzt+1), & |
---|
683 | a31(nzb:nzt+1), a32(nzb:nzt+1), a33(nzb:nzt+1), & |
---|
684 | nux(nzb:nzt+1), nuy(nzb:nzt+1), nuz(nzb:nzt+1), & |
---|
685 | nvx(nzb:nzt+1), nvy(nzb:nzt+1), nvz(nzb:nzt+1), & |
---|
686 | nwx(nzb:nzt+1), nwy(nzb:nzt+1), nwz(nzb:nzt+1), & |
---|
687 | r11(nzb:nzt+1), r21(nzb:nzt+1), r22(nzb:nzt+1), & |
---|
688 | r31(nzb:nzt+1), r32(nzb:nzt+1), r33(nzb:nzt+1), & |
---|
689 | tu(nzb:nzt+1), tv(nzb:nzt+1), tw(nzb:nzt+1) ) |
---|
690 | |
---|
691 | ALLOCATE ( dist_xz(nzb:nzt+1,nxlg:nxrg,3) ) |
---|
692 | ALLOCATE ( dist_yz(nzb:nzt+1,nysg:nyng,3) ) |
---|
693 | dist_xz = 0.0_wp |
---|
694 | dist_yz = 0.0_wp |
---|
695 | ! |
---|
696 | !-- Read inflow profile |
---|
697 | !-- Height levels of profiles in input profile is as follows: |
---|
698 | !-- zu: luy, luz, tu, lvy, lvz, tv, r11, r21, r22, d1, d2, d5 |
---|
699 | !-- zw: lwy, lwz, tw, r31, r32, r33, d3 |
---|
700 | !-- WARNING: zz is not used at the moment |
---|
701 | INQUIRE( FILE = 'STG_PROFILES' // TRIM( coupling_char ), & |
---|
702 | EXIST = file_stg_exist ) |
---|
703 | |
---|
704 | IF ( file_stg_exist ) THEN |
---|
705 | |
---|
706 | OPEN( 90, FILE='STG_PROFILES'//TRIM( coupling_char ), STATUS='OLD', & |
---|
707 | FORM='FORMATTED') |
---|
708 | ! |
---|
709 | !-- Skip header |
---|
710 | READ( 90, * ) |
---|
711 | |
---|
712 | DO k = nzb+1, nzt+1 |
---|
713 | READ( 90, * ) zz, luy, luz, tu(k), lvy, lvz, tv(k), lwy, lwz, tw(k), & |
---|
714 | r11(k), r21(k), r22(k), r31(k), r32(k), r33(k), & |
---|
715 | d1, d2, d3, d5 |
---|
716 | |
---|
717 | ! |
---|
718 | !-- Convert length scales from meter to number of grid points. |
---|
719 | nuy(k) = INT( luy * ddy ) |
---|
720 | nuz(k) = INT( luz * ddzw(k) ) |
---|
721 | nvy(k) = INT( lvy * ddy ) |
---|
722 | nvz(k) = INT( lvz * ddzw(k) ) |
---|
723 | nwy(k) = INT( lwy * ddy ) |
---|
724 | nwz(k) = INT( lwz * ddzw(k) ) |
---|
725 | ! |
---|
726 | !-- Workaround, assume isotropic turbulence |
---|
727 | nwx(k) = nwy(k) |
---|
728 | nvx(k) = nvy(k) |
---|
729 | nux(k) = nuy(k) |
---|
730 | ! |
---|
731 | !-- Save Mean inflow profiles |
---|
732 | IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN |
---|
733 | mean_inflow_profiles(k,1) = d1 |
---|
734 | mean_inflow_profiles(k,2) = d2 |
---|
735 | ! mean_inflow_profiles(k,4) = d4 |
---|
736 | mean_inflow_profiles(k,5) = d5 |
---|
737 | ENDIF |
---|
738 | ENDDO |
---|
739 | ! |
---|
740 | !-- Set lenght scales at surface grid point |
---|
741 | nuy(nzb) = nuy(nzb+1) |
---|
742 | nuz(nzb) = nuz(nzb+1) |
---|
743 | nvy(nzb) = nvy(nzb+1) |
---|
744 | nvz(nzb) = nvz(nzb+1) |
---|
745 | nwy(nzb) = nwy(nzb+1) |
---|
746 | nwz(nzb) = nwz(nzb+1) |
---|
747 | |
---|
748 | CLOSE( 90 ) |
---|
749 | ! |
---|
750 | !-- Calculate coefficient matrix from Reynolds stress tensor |
---|
751 | !-- (Lund rotation) |
---|
752 | CALL calc_coeff_matrix |
---|
753 | ! |
---|
754 | !-- No information about turbulence and its length scales are available. |
---|
755 | !-- Instead, parametrize turbulence which is imposed at the boundaries. |
---|
756 | !-- Set flag which indicates that turbulence is parametrized, which is done |
---|
757 | !-- later when energy-balance models are already initialized. This is |
---|
758 | !-- because the STG needs information about surface properties such as |
---|
759 | !-- roughness to build 'realistic' turbulence profiles. |
---|
760 | ELSE |
---|
761 | ! |
---|
762 | !-- Define length scale for the imposed turbulence, which is defined as |
---|
763 | !-- 8 times the minimum grid spacing |
---|
764 | length_scale = 8.0_wp * MIN( dx, dy, MINVAL( dzw ) ) |
---|
765 | ! |
---|
766 | !-- Define constant to gradually decrease length scales and Reynolds stress |
---|
767 | !-- above ABL top. Assure that no zero length scales are used. |
---|
768 | d_l = blend_coeff / MAX( length_scale, dx, dy, MINVAL( dzw ) ) |
---|
769 | ! |
---|
770 | !-- Set flag indicating that turbulence is parametrized |
---|
771 | parametrize_inflow_turbulence = .TRUE. |
---|
772 | ! |
---|
773 | !-- In case of dirichlet inflow boundary conditions only at one lateral |
---|
774 | !-- boundary, i.e. in the case no offline or self nesting is applied but |
---|
775 | !-- synthetic turbulence shall be parametrized nevertheless, the |
---|
776 | !-- boundary-layer depth need to determined first. |
---|
777 | IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) & |
---|
778 | CALL nesting_offl_calc_zi |
---|
779 | ! |
---|
780 | !-- Determine boundary-layer depth, which is used to initialize lenght |
---|
781 | !-- scales |
---|
782 | CALL calc_scaling_variables |
---|
783 | ! |
---|
784 | !-- Initialize lenght and time scales, which in turn are used |
---|
785 | !-- to initialize the filter functions. |
---|
786 | CALL calc_length_and_time_scale |
---|
787 | ! |
---|
788 | !-- Parametrize Reynolds-stress tensor, diagonal elements as well |
---|
789 | !-- as r21 (v'u'), r31 (w'u'), r32 (w'v'). Parametrization follows |
---|
790 | !-- Rotach et al. (1996) and is based on boundary-layer depth, |
---|
791 | !-- friction velocity and velocity scale. |
---|
792 | CALL parametrize_reynolds_stress |
---|
793 | ! |
---|
794 | !-- Calculate coefficient matrix from Reynolds stress tensor |
---|
795 | !-- (Lund rotation) |
---|
796 | CALL calc_coeff_matrix |
---|
797 | |
---|
798 | ENDIF |
---|
799 | |
---|
800 | ! |
---|
801 | !-- Assign initial profiles. Note, this is only required if turbulent |
---|
802 | !-- inflow from the left is desired, not in case of any of the |
---|
803 | !-- nesting (offline or self nesting) approaches. |
---|
804 | IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN |
---|
805 | u_init = mean_inflow_profiles(:,1) |
---|
806 | v_init = mean_inflow_profiles(:,2) |
---|
807 | !pt_init = mean_inflow_profiles(:,4) |
---|
808 | e_init = MAXVAL( mean_inflow_profiles(:,5) ) |
---|
809 | ENDIF |
---|
810 | |
---|
811 | ! |
---|
812 | !-- Define the size of the filter functions and allocate them. |
---|
813 | merg = 0 |
---|
814 | |
---|
815 | ! arrays must be large enough to cover the largest length scale |
---|
816 | DO k = nzb, nzt+1 |
---|
817 | j = MAX( ABS(nux(k)), ABS(nuy(k)), ABS(nuz(k)), & |
---|
818 | ABS(nvx(k)), ABS(nvy(k)), ABS(nvz(k)), & |
---|
819 | ABS(nwx(k)), ABS(nwy(k)), ABS(nwz(k)) ) |
---|
820 | IF ( j > merg ) merg = j |
---|
821 | ENDDO |
---|
822 | |
---|
823 | merg = 2 * merg |
---|
824 | mergp = merg + nbgp |
---|
825 | |
---|
826 | ALLOCATE ( bux(-merg:merg,nzb:nzt+1), & |
---|
827 | buy(-merg:merg,nzb:nzt+1), & |
---|
828 | buz(-merg:merg,nzb:nzt+1), & |
---|
829 | bvx(-merg:merg,nzb:nzt+1), & |
---|
830 | bvy(-merg:merg,nzb:nzt+1), & |
---|
831 | bvz(-merg:merg,nzb:nzt+1), & |
---|
832 | bwx(-merg:merg,nzb:nzt+1), & |
---|
833 | bwy(-merg:merg,nzb:nzt+1), & |
---|
834 | bwz(-merg:merg,nzb:nzt+1) ) |
---|
835 | |
---|
836 | ! |
---|
837 | !-- Allocate velocity seeds for turbulence at xz-layer |
---|
838 | ALLOCATE ( fu_xz( nzb:nzt+1,nxlg:nxrg), fuo_xz(nzb:nzt+1,nxlg:nxrg), & |
---|
839 | fv_xz( nzb:nzt+1,nxlg:nxrg), fvo_xz(nzb:nzt+1,nxlg:nxrg), & |
---|
840 | fw_xz( nzb:nzt+1,nxlg:nxrg), fwo_xz(nzb:nzt+1,nxlg:nxrg) ) |
---|
841 | |
---|
842 | ! |
---|
843 | !-- Allocate velocity seeds for turbulence at yz-layer |
---|
844 | ALLOCATE ( fu_yz( nzb:nzt+1,nysg:nyng), fuo_yz(nzb:nzt+1,nysg:nyng), & |
---|
845 | fv_yz( nzb:nzt+1,nysg:nyng), fvo_yz(nzb:nzt+1,nysg:nyng), & |
---|
846 | fw_yz( nzb:nzt+1,nysg:nyng), fwo_yz(nzb:nzt+1,nysg:nyng) ) |
---|
847 | |
---|
848 | fu_xz = 0.0_wp |
---|
849 | fuo_xz = 0.0_wp |
---|
850 | fv_xz = 0.0_wp |
---|
851 | fvo_xz = 0.0_wp |
---|
852 | fw_xz = 0.0_wp |
---|
853 | fwo_xz = 0.0_wp |
---|
854 | |
---|
855 | fu_yz = 0.0_wp |
---|
856 | fuo_yz = 0.0_wp |
---|
857 | fv_yz = 0.0_wp |
---|
858 | fvo_yz = 0.0_wp |
---|
859 | fw_yz = 0.0_wp |
---|
860 | fwo_yz = 0.0_wp |
---|
861 | |
---|
862 | ! |
---|
863 | !-- Create filter functions |
---|
864 | CALL stg_filter_func( nux, bux ) !filter ux |
---|
865 | CALL stg_filter_func( nuy, buy ) !filter uy |
---|
866 | CALL stg_filter_func( nuz, buz ) !filter uz |
---|
867 | CALL stg_filter_func( nvx, bvx ) !filter vx |
---|
868 | CALL stg_filter_func( nvy, bvy ) !filter vy |
---|
869 | CALL stg_filter_func( nvz, bvz ) !filter vz |
---|
870 | CALL stg_filter_func( nwx, bwx ) !filter wx |
---|
871 | CALL stg_filter_func( nwy, bwy ) !filter wy |
---|
872 | CALL stg_filter_func( nwz, bwz ) !filter wz |
---|
873 | |
---|
874 | #if defined( __parallel ) |
---|
875 | CALL MPI_BARRIER( comm2d, ierr ) |
---|
876 | #endif |
---|
877 | |
---|
878 | ! |
---|
879 | !-- In case of restart, calculate velocity seeds fu, fv, fw from former |
---|
880 | ! time step. |
---|
881 | ! Bug: fu, fv, fw are different in those heights where a11, a22, a33 |
---|
882 | ! are 0 compared to the prerun. This is mostly for k=nzt+1. |
---|
883 | IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN |
---|
884 | IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN |
---|
885 | |
---|
886 | IF ( myidx == id_stg_left ) i = -1 |
---|
887 | IF ( myidx == id_stg_right ) i = nxr+1 |
---|
888 | |
---|
889 | DO j = nysg, nyng |
---|
890 | DO k = nzb, nzt+1 |
---|
891 | IF ( a11(k) /= 0.0_wp ) THEN |
---|
892 | fu_yz(k,j) = ( u(k,j,i) - u_init(k) ) / a11(k) |
---|
893 | ELSE |
---|
894 | fu_yz(k,j) = 0.0_wp |
---|
895 | ENDIF |
---|
896 | |
---|
897 | IF ( a22(k) /= 0.0_wp ) THEN |
---|
898 | fv_yz(k,j) = ( v(k,j,i) - & |
---|
899 | a21(k) * fu_yz(k,j) - v_init(k) ) / a22(k) |
---|
900 | ELSE |
---|
901 | fv_yz(k,j) = 0.0_wp |
---|
902 | ENDIF |
---|
903 | |
---|
904 | IF ( a33(k) /= 0.0_wp ) THEN |
---|
905 | fw_yz(k,j) = ( w(k,j,i) - & |
---|
906 | a31(k) * fu_yz(k,j) - a32(k) * & |
---|
907 | fv_yz(k,j) ) / a33(k) |
---|
908 | ELSE |
---|
909 | fw_yz = 0._wp |
---|
910 | ENDIF |
---|
911 | |
---|
912 | ENDDO |
---|
913 | ENDDO |
---|
914 | ENDIF |
---|
915 | |
---|
916 | IF ( myidy == id_stg_south .OR. myidy == id_stg_north ) THEN |
---|
917 | |
---|
918 | IF ( myidy == id_stg_south ) j = -1 |
---|
919 | IF ( myidy == id_stg_north ) j = nyn+1 |
---|
920 | |
---|
921 | DO i = nxlg, nxrg |
---|
922 | DO k = nzb, nzt+1 |
---|
923 | |
---|
924 | IF ( a11(k) /= 0.0_wp ) THEN |
---|
925 | fu_xz(k,i) = ( u(k,j,i) - u_init(k) ) / a11(k) |
---|
926 | ELSE |
---|
927 | fu_xz(k,i) = 0.0_wp |
---|
928 | ENDIF |
---|
929 | |
---|
930 | IF ( a22(k) /= 0.0_wp ) THEN |
---|
931 | fv_xz(k,i) = ( v(k,j,i) - & |
---|
932 | a21(k) * fu_xz(k,i) - v_init(k) ) / a22(k) |
---|
933 | ELSE |
---|
934 | fv_xz(k,i) = 0.0_wp |
---|
935 | ENDIF |
---|
936 | |
---|
937 | IF ( a33(k) /= 0.0_wp ) THEN |
---|
938 | fw_xz(k,i) = ( w(k,j,i) - & |
---|
939 | a31(k) * fu_xz(k,i) - & |
---|
940 | a32(k) * fv_xz(k,i) ) / a33(k) |
---|
941 | ELSE |
---|
942 | fw_xz = 0._wp |
---|
943 | ENDIF |
---|
944 | |
---|
945 | ENDDO |
---|
946 | ENDDO |
---|
947 | ENDIF |
---|
948 | ENDIF |
---|
949 | ! |
---|
950 | !-- Count the number of non-topography grid points at the boundaries where |
---|
951 | !-- perturbations are imposed. This number is later used for bias corrections |
---|
952 | !-- of the perturbations, i.e. to force that their mean is zero. Please note, |
---|
953 | !-- due to the asymetry of u and v along x and y direction, respectively, |
---|
954 | !-- different cases must be distinguished. |
---|
955 | IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN |
---|
956 | ! |
---|
957 | !-- Number of grid points where perturbations are imposed on u |
---|
958 | IF ( myidx == id_stg_left ) i = nxl |
---|
959 | IF ( myidx == id_stg_right ) i = nxr+1 |
---|
960 | |
---|
961 | nr_non_topo_yz_l(1) = SUM( & |
---|
962 | MERGE( 1, 0, & |
---|
963 | BTEST( wall_flags_0(nzb:nzt,nys:nyn,i), 1 ) ) ) |
---|
964 | ! |
---|
965 | !-- Number of grid points where perturbations are imposed on v and w |
---|
966 | IF ( myidx == id_stg_left ) i = nxl-1 |
---|
967 | IF ( myidx == id_stg_right ) i = nxr+1 |
---|
968 | |
---|
969 | nr_non_topo_yz_l(2) = SUM( & |
---|
970 | MERGE( 1, 0, & |
---|
971 | BTEST( wall_flags_0(nzb:nzt,nysv:nyn,i), 2 ) ) ) |
---|
972 | nr_non_topo_yz_l(3) = SUM( & |
---|
973 | MERGE( 1, 0, & |
---|
974 | BTEST( wall_flags_0(nzb:nzt,nys:nyn,i), 3 ) ) ) |
---|
975 | |
---|
976 | #if defined( __parallel ) |
---|
977 | CALL MPI_ALLREDUCE( nr_non_topo_yz_l, nr_non_topo_yz, 3, MPI_INTEGER, & |
---|
978 | MPI_SUM, comm1dy, ierr ) |
---|
979 | #else |
---|
980 | nr_non_topo_yz = nr_non_topo_yz_l |
---|
981 | #endif |
---|
982 | ENDIF |
---|
983 | |
---|
984 | IF ( myidy == id_stg_south .OR. myidy == id_stg_north ) THEN |
---|
985 | ! |
---|
986 | !-- Number of grid points where perturbations are imposed on v |
---|
987 | IF ( myidy == id_stg_south ) j = nys |
---|
988 | IF ( myidy == id_stg_north ) j = nyn+1 |
---|
989 | |
---|
990 | nr_non_topo_xz_l(2) = SUM( & |
---|
991 | MERGE( 1, 0, & |
---|
992 | BTEST( wall_flags_0(nzb:nzt,j,nxl:nxr), 2 ) ) ) |
---|
993 | ! |
---|
994 | !-- Number of grid points where perturbations are imposed on u and w |
---|
995 | IF ( myidy == id_stg_south ) j = nys-1 |
---|
996 | IF ( myidy == id_stg_north ) j = nyn+1 |
---|
997 | |
---|
998 | nr_non_topo_xz_l(1) = SUM( & |
---|
999 | MERGE( 1, 0, & |
---|
1000 | BTEST( wall_flags_0(nzb:nzt,j,nxlu:nxr), 1 ) ) ) |
---|
1001 | nr_non_topo_xz_l(3) = SUM( & |
---|
1002 | MERGE( 1, 0, & |
---|
1003 | BTEST( wall_flags_0(nzb:nzt,j,nxl:nxr), 3 ) ) ) |
---|
1004 | |
---|
1005 | #if defined( __parallel ) |
---|
1006 | CALL MPI_ALLREDUCE( nr_non_topo_xz_l, nr_non_topo_xz, 3, MPI_INTEGER, & |
---|
1007 | MPI_SUM, comm1dx, ierr ) |
---|
1008 | #else |
---|
1009 | nr_non_topo_xz = nr_non_topo_xz_l |
---|
1010 | #endif |
---|
1011 | ENDIF |
---|
1012 | |
---|
1013 | |
---|
1014 | END SUBROUTINE stg_init |
---|
1015 | |
---|
1016 | |
---|
1017 | !------------------------------------------------------------------------------! |
---|
1018 | ! Description: |
---|
1019 | ! ------------ |
---|
1020 | !> Calculate filter function bxx from length scale nxx following Eg.9 and 10 |
---|
1021 | !> (Xie and Castro, 2008) |
---|
1022 | !------------------------------------------------------------------------------! |
---|
1023 | SUBROUTINE stg_filter_func( nxx, bxx ) |
---|
1024 | |
---|
1025 | |
---|
1026 | IMPLICIT NONE |
---|
1027 | |
---|
1028 | INTEGER(iwp) :: k !< loop index |
---|
1029 | INTEGER(iwp) :: n_k !< length scale nXX in height k |
---|
1030 | INTEGER(iwp) :: n_k2 !< n_k * 2 |
---|
1031 | INTEGER(iwp) :: nf !< index for length scales |
---|
1032 | |
---|
1033 | REAL(wp) :: bdenom !< denominator for filter functions bXX |
---|
1034 | REAL(wp) :: qsi = 1.0_wp !< minimization factor |
---|
1035 | |
---|
1036 | INTEGER(iwp), DIMENSION(:) :: nxx(nzb:nzt+1) !< length scale (in gp) |
---|
1037 | |
---|
1038 | REAL(wp), DIMENSION(:,:) :: bxx(-merg:merg,nzb:nzt+1) !< filter function |
---|
1039 | |
---|
1040 | |
---|
1041 | bxx = 0.0_wp |
---|
1042 | |
---|
1043 | DO k = nzb, nzt+1 |
---|
1044 | bdenom = 0.0_wp |
---|
1045 | n_k = nxx(k) |
---|
1046 | IF ( n_k /= 0 ) THEN |
---|
1047 | n_k2 = n_k * 2 |
---|
1048 | |
---|
1049 | ! |
---|
1050 | !-- ( Eq.10 )^2 |
---|
1051 | DO nf = -n_k2, n_k2 |
---|
1052 | bdenom = bdenom + EXP( -qsi * pi * ABS(nf) / n_k )**2 |
---|
1053 | ENDDO |
---|
1054 | |
---|
1055 | ! |
---|
1056 | !-- ( Eq.9 ) |
---|
1057 | bdenom = SQRT( bdenom ) |
---|
1058 | DO nf = -n_k2, n_k2 |
---|
1059 | bxx(nf,k) = EXP( -qsi * pi * ABS(nf) / n_k ) / bdenom |
---|
1060 | ENDDO |
---|
1061 | ENDIF |
---|
1062 | ENDDO |
---|
1063 | |
---|
1064 | END SUBROUTINE stg_filter_func |
---|
1065 | |
---|
1066 | |
---|
1067 | !------------------------------------------------------------------------------! |
---|
1068 | ! Description: |
---|
1069 | ! ------------ |
---|
1070 | !> Parin for &stg_par for synthetic turbulence generator |
---|
1071 | !------------------------------------------------------------------------------! |
---|
1072 | SUBROUTINE stg_parin |
---|
1073 | |
---|
1074 | |
---|
1075 | IMPLICIT NONE |
---|
1076 | |
---|
1077 | CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file |
---|
1078 | |
---|
1079 | |
---|
1080 | NAMELIST /stg_par/ dt_stg_adjust, dt_stg_call, use_syn_turb_gen |
---|
1081 | |
---|
1082 | line = ' ' |
---|
1083 | |
---|
1084 | ! |
---|
1085 | !-- Try to find stg package |
---|
1086 | REWIND ( 11 ) |
---|
1087 | line = ' ' |
---|
1088 | DO WHILE ( INDEX( line, '&stg_par' ) == 0 ) |
---|
1089 | READ ( 11, '(A)', END=20 ) line |
---|
1090 | ENDDO |
---|
1091 | BACKSPACE ( 11 ) |
---|
1092 | |
---|
1093 | ! |
---|
1094 | !-- Read namelist |
---|
1095 | READ ( 11, stg_par, ERR = 10, END = 20 ) |
---|
1096 | |
---|
1097 | ! |
---|
1098 | !-- Set flag that indicates that the synthetic turbulence generator is switched |
---|
1099 | !-- on |
---|
1100 | syn_turb_gen = .TRUE. |
---|
1101 | GOTO 20 |
---|
1102 | |
---|
1103 | 10 BACKSPACE( 11 ) |
---|
1104 | READ( 11 , '(A)') line |
---|
1105 | CALL parin_fail_message( 'stg_par', line ) |
---|
1106 | |
---|
1107 | 20 CONTINUE |
---|
1108 | |
---|
1109 | END SUBROUTINE stg_parin |
---|
1110 | |
---|
1111 | |
---|
1112 | !------------------------------------------------------------------------------! |
---|
1113 | ! Description: |
---|
1114 | ! ------------ |
---|
1115 | !> This routine reads the respective restart data. |
---|
1116 | !------------------------------------------------------------------------------! |
---|
1117 | SUBROUTINE stg_rrd_global( found ) |
---|
1118 | |
---|
1119 | |
---|
1120 | IMPLICIT NONE |
---|
1121 | |
---|
1122 | LOGICAL, INTENT(OUT) :: found !< flag indicating if variable was found |
---|
1123 | |
---|
1124 | |
---|
1125 | found = .TRUE. |
---|
1126 | |
---|
1127 | |
---|
1128 | SELECT CASE ( restart_string(1:length) ) |
---|
1129 | |
---|
1130 | CASE ( 'time_stg_adjust' ) |
---|
1131 | READ ( 13 ) time_stg_adjust |
---|
1132 | |
---|
1133 | CASE ( 'time_stg_call' ) |
---|
1134 | READ ( 13 ) time_stg_call |
---|
1135 | |
---|
1136 | CASE ( 'use_syn_turb_gen' ) |
---|
1137 | READ ( 13 ) use_syn_turb_gen |
---|
1138 | |
---|
1139 | CASE DEFAULT |
---|
1140 | |
---|
1141 | found = .FALSE. |
---|
1142 | |
---|
1143 | END SELECT |
---|
1144 | |
---|
1145 | |
---|
1146 | END SUBROUTINE stg_rrd_global |
---|
1147 | |
---|
1148 | |
---|
1149 | !------------------------------------------------------------------------------! |
---|
1150 | ! Description: |
---|
1151 | ! ------------ |
---|
1152 | !> This routine writes the respective restart data. |
---|
1153 | !------------------------------------------------------------------------------! |
---|
1154 | SUBROUTINE stg_wrd_global |
---|
1155 | |
---|
1156 | |
---|
1157 | IMPLICIT NONE |
---|
1158 | |
---|
1159 | CALL wrd_write_string( 'time_stg_adjust' ) |
---|
1160 | WRITE ( 14 ) time_stg_adjust |
---|
1161 | |
---|
1162 | CALL wrd_write_string( 'time_stg_call' ) |
---|
1163 | WRITE ( 14 ) time_stg_call |
---|
1164 | |
---|
1165 | CALL wrd_write_string( 'use_syn_turb_gen' ) |
---|
1166 | WRITE ( 14 ) use_syn_turb_gen |
---|
1167 | |
---|
1168 | |
---|
1169 | END SUBROUTINE stg_wrd_global |
---|
1170 | |
---|
1171 | |
---|
1172 | !------------------------------------------------------------------------------! |
---|
1173 | ! Description: |
---|
1174 | ! ------------ |
---|
1175 | !> Create turbulent inflow fields for u, v, w with prescribed length scales and |
---|
1176 | !> Reynolds stress tensor after a method of Xie and Castro (2008), modified |
---|
1177 | !> following suggestions of Kim et al. (2013), and using a Lund rotation |
---|
1178 | !> (Lund, 1998). |
---|
1179 | !------------------------------------------------------------------------------! |
---|
1180 | SUBROUTINE stg_main |
---|
1181 | |
---|
1182 | IMPLICIT NONE |
---|
1183 | |
---|
1184 | INTEGER(iwp) :: i !< grid index in x-direction |
---|
1185 | INTEGER(iwp) :: j !< loop index in y-direction |
---|
1186 | INTEGER(iwp) :: k !< loop index in z-direction |
---|
1187 | |
---|
1188 | LOGICAL :: stg_call = .FALSE. !< control flag indicating whether turbulence was updated or only restored from last call |
---|
1189 | |
---|
1190 | REAL(wp) :: dt_stg !< wheighted subtimestep |
---|
1191 | |
---|
1192 | REAL(wp), DIMENSION(3) :: mc_factor_l !< local mass flux correction factor |
---|
1193 | |
---|
1194 | IF ( debug_output_timestep ) CALL debug_message( 'stg_main', 'start' ) |
---|
1195 | ! |
---|
1196 | !-- Calculate time step which is needed for filter functions |
---|
1197 | dt_stg = MAX( dt_3d, dt_stg_call ) |
---|
1198 | ! |
---|
1199 | !-- Check if synthetic turbulence generator needs to be called and new |
---|
1200 | !-- perturbations need to be created or if old disturbances can be imposed |
---|
1201 | !-- again. |
---|
1202 | IF ( time_stg_call >= dt_stg_call .AND. & |
---|
1203 | intermediate_timestep_count == intermediate_timestep_count_max ) THEN |
---|
1204 | stg_call = .TRUE. |
---|
1205 | ELSE |
---|
1206 | stg_call = .FALSE. |
---|
1207 | ENDIF |
---|
1208 | ! |
---|
1209 | !-- Initial value of fu, fv, fw |
---|
1210 | IF ( time_since_reference_point == 0.0_wp .AND. .NOT. velocity_seed_initialized ) THEN |
---|
1211 | CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_left ) |
---|
1212 | CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_left ) |
---|
1213 | CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_left ) |
---|
1214 | |
---|
1215 | IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent & |
---|
1216 | .AND. .NOT. rans_mode ) ) THEN |
---|
1217 | ! |
---|
1218 | !-- Generate turbulence at right boundary |
---|
1219 | CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu_yz, id_stg_right ) |
---|
1220 | CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv_yz, id_stg_right ) |
---|
1221 | CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw_yz, id_stg_right ) |
---|
1222 | ! |
---|
1223 | !-- Generate turbulence at north boundary |
---|
1224 | CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_north ) |
---|
1225 | CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_north ) |
---|
1226 | CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_north ) |
---|
1227 | ! |
---|
1228 | !-- Generate turbulence at south boundary |
---|
1229 | CALL stg_generate_seed_xz( nux, nuz, bux, buz, fu_xz, id_stg_south ) |
---|
1230 | CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fv_xz, id_stg_south ) |
---|
1231 | CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fw_xz, id_stg_south ) |
---|
1232 | ENDIF |
---|
1233 | velocity_seed_initialized = .TRUE. |
---|
1234 | ENDIF |
---|
1235 | |
---|
1236 | ! |
---|
1237 | !-- New set of fu, fv, fw |
---|
1238 | IF ( stg_call ) THEN |
---|
1239 | ! |
---|
1240 | !-- Generate turbulence at left boundary (required in all applications, |
---|
1241 | !-- i.e. offline nesting and turbulent inflow from the left) |
---|
1242 | CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_left ) |
---|
1243 | CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_left ) |
---|
1244 | CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_left ) |
---|
1245 | |
---|
1246 | IF ( nesting_offline .OR. ( child_domain .AND. rans_mode_parent & |
---|
1247 | .AND. .NOT. rans_mode ) ) THEN |
---|
1248 | ! |
---|
1249 | !-- Generate turbulence at right boundary |
---|
1250 | CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo_yz, id_stg_right ) |
---|
1251 | CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo_yz, id_stg_right ) |
---|
1252 | CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo_yz, id_stg_right ) |
---|
1253 | ! |
---|
1254 | !-- Generate turbulence at north boundary |
---|
1255 | CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_north ) |
---|
1256 | CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_north ) |
---|
1257 | CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_north ) |
---|
1258 | ! |
---|
1259 | !-- Generate turbulence at south boundary |
---|
1260 | CALL stg_generate_seed_xz( nux, nuz, bux, buz, fuo_xz, id_stg_south ) |
---|
1261 | CALL stg_generate_seed_xz( nvx, nvz, bvx, bvz, fvo_xz, id_stg_south ) |
---|
1262 | CALL stg_generate_seed_xz( nwx, nwz, bwx, bwz, fwo_xz, id_stg_south ) |
---|
1263 | ENDIF |
---|
1264 | ENDIF |
---|
1265 | |
---|
1266 | ! |
---|
1267 | !-- Turbulence generation at left and or right boundary |
---|
1268 | IF ( myidx == id_stg_left .OR. myidx == id_stg_right ) THEN |
---|
1269 | ! |
---|
1270 | !-- Calculate new set of perturbations. Do this only at last RK3-substep and |
---|
1271 | !-- when dt_stg_call is exceeded. Else the old set of perturbations is |
---|
1272 | !-- imposed |
---|
1273 | IF ( stg_call ) THEN |
---|
1274 | |
---|
1275 | DO j = nysg, nyng |
---|
1276 | DO k = nzb, nzt + 1 |
---|
1277 | ! |
---|
1278 | !-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008) |
---|
1279 | IF ( tu(k) == 0.0_wp ) THEN |
---|
1280 | fu_yz(k,j) = fuo_yz(k,j) |
---|
1281 | ELSE |
---|
1282 | fu_yz(k,j) = fu_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + & |
---|
1283 | fuo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) ) |
---|
1284 | ENDIF |
---|
1285 | |
---|
1286 | IF ( tv(k) == 0.0_wp ) THEN |
---|
1287 | fv_yz(k,j) = fvo_yz(k,j) |
---|
1288 | ELSE |
---|
1289 | fv_yz(k,j) = fv_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + & |
---|
1290 | fvo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) ) |
---|
1291 | ENDIF |
---|
1292 | |
---|
1293 | IF ( tw(k) == 0.0_wp ) THEN |
---|
1294 | fw_yz(k,j) = fwo_yz(k,j) |
---|
1295 | ELSE |
---|
1296 | fw_yz(k,j) = fw_yz(k,j) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + & |
---|
1297 | fwo_yz(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) ) |
---|
1298 | ENDIF |
---|
1299 | ENDDO |
---|
1300 | ENDDO |
---|
1301 | |
---|
1302 | dist_yz(nzb,:,1) = 0.0_wp |
---|
1303 | dist_yz(nzb,:,2) = 0.0_wp |
---|
1304 | dist_yz(nzb,:,3) = 0.0_wp |
---|
1305 | |
---|
1306 | IF ( myidx == id_stg_left ) i = nxl |
---|
1307 | IF ( myidx == id_stg_right ) i = nxr+1 |
---|
1308 | DO j = nysg, nyng |
---|
1309 | DO k = nzb+1, nzt + 1 |
---|
1310 | ! |
---|
1311 | !-- Lund rotation following Eq. 17 in Xie and Castro (2008). |
---|
1312 | !-- Additional factors are added to improve the variance of v and w |
---|
1313 | dist_yz(k,j,1) = MIN( a11(k) * fu_yz(k,j), 3.0_wp ) * & |
---|
1314 | MERGE( 1.0_wp, 0.0_wp, & |
---|
1315 | BTEST( wall_flags_0(k,j,i), 1 ) ) |
---|
1316 | ENDDO |
---|
1317 | ENDDO |
---|
1318 | |
---|
1319 | IF ( myidx == id_stg_left ) i = nxl-1 |
---|
1320 | IF ( myidx == id_stg_right ) i = nxr+1 |
---|
1321 | DO j = nysg, nyng |
---|
1322 | DO k = nzb+1, nzt + 1 |
---|
1323 | ! |
---|
1324 | !-- Lund rotation following Eq. 17 in Xie and Castro (2008). |
---|
1325 | !-- Additional factors are added to improve the variance of v and w |
---|
1326 | !-- experimental test of 1.2 |
---|
1327 | dist_yz(k,j,2) = MIN( ( SQRT( a22(k) / MAXVAL(a22) ) & |
---|
1328 | * 1.2_wp ) & |
---|
1329 | * ( a21(k) * fu_yz(k,j) & |
---|
1330 | + a22(k) * fv_yz(k,j) ), 3.0_wp ) * & |
---|
1331 | MERGE( 1.0_wp, 0.0_wp, & |
---|
1332 | BTEST( wall_flags_0(k,j,i), 2 ) ) |
---|
1333 | dist_yz(k,j,3) = MIN( ( SQRT(a33(k) / MAXVAL(a33) ) & |
---|
1334 | * 1.3_wp ) & |
---|
1335 | * ( a31(k) * fu_yz(k,j) & |
---|
1336 | + a32(k) * fv_yz(k,j) & |
---|
1337 | + a33(k) * fw_yz(k,j) ), 3.0_wp ) * & |
---|
1338 | MERGE( 1.0_wp, 0.0_wp, & |
---|
1339 | BTEST( wall_flags_0(k,j,i), 3 ) ) |
---|
1340 | ENDDO |
---|
1341 | ENDDO |
---|
1342 | ENDIF |
---|
1343 | |
---|
1344 | ! |
---|
1345 | !-- Mass flux correction following Kim et al. (2013) |
---|
1346 | !-- This correction factor insures that the mass flux is preserved at the |
---|
1347 | !-- inflow boundary. First, calculate mean value of the imposed |
---|
1348 | !-- perturbations at yz boundary. |
---|
1349 | !-- Note, this needs to be done only after the last RK3-substep, else |
---|
1350 | !-- the boundary values won't be accessed. |
---|
1351 | IF ( intermediate_timestep_count == intermediate_timestep_count_max ) THEN |
---|
1352 | mc_factor_l = 0.0_wp |
---|
1353 | mc_factor = 0.0_wp |
---|
1354 | ! |
---|
1355 | !-- Sum up the original volume flows (with and without perturbations). |
---|
1356 | !-- Note, for non-normal components (here v and w) it is actually no |
---|
1357 | !-- volume flow. |
---|
1358 | IF ( myidx == id_stg_left ) i = nxl |
---|
1359 | IF ( myidx == id_stg_right ) i = nxr+1 |
---|
1360 | |
---|
1361 | mc_factor_l(1) = SUM( dist_yz(nzb:nzt,nys:nyn,1) & |
---|
1362 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1363 | BTEST( wall_flags_0(nzb:nzt,nys:nyn,i), 1 ) ) ) |
---|
1364 | |
---|
1365 | IF ( myidx == id_stg_left ) i = nxl-1 |
---|
1366 | IF ( myidx == id_stg_right ) i = nxr+1 |
---|
1367 | |
---|
1368 | mc_factor_l(2) = SUM( dist_yz(nzb:nzt,nysv:nyn,2) & |
---|
1369 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1370 | BTEST( wall_flags_0(nzb:nzt,nysv:nyn,i), 2 ) ) ) |
---|
1371 | mc_factor_l(3) = SUM( dist_yz(nzb:nzt,nys:nyn,3) & |
---|
1372 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1373 | BTEST( wall_flags_0(nzb:nzt,nys:nyn,i), 3 ) ) ) |
---|
1374 | |
---|
1375 | #if defined( __parallel ) |
---|
1376 | CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, & |
---|
1377 | 3, MPI_REAL, MPI_SUM, comm1dy, ierr ) |
---|
1378 | #else |
---|
1379 | mc_factor = mc_factor_l |
---|
1380 | #endif |
---|
1381 | ! |
---|
1382 | !-- Calculate correction factor and force zero mean perturbations. |
---|
1383 | mc_factor = mc_factor / REAL( nr_non_topo_yz, KIND = wp ) |
---|
1384 | |
---|
1385 | IF ( myidx == id_stg_left ) i = nxl |
---|
1386 | IF ( myidx == id_stg_right ) i = nxr+1 |
---|
1387 | |
---|
1388 | dist_yz(:,:,1) = ( dist_yz(:,:,1) - mc_factor(1) ) & |
---|
1389 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1390 | BTEST( wall_flags_0(:,:,i), 1 ) ) |
---|
1391 | |
---|
1392 | |
---|
1393 | IF ( myidx == id_stg_left ) i = nxl-1 |
---|
1394 | IF ( myidx == id_stg_right ) i = nxr+1 |
---|
1395 | |
---|
1396 | dist_yz(:,:,2) = ( dist_yz(:,:,2) - mc_factor(2) ) & |
---|
1397 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1398 | BTEST( wall_flags_0(:,:,i), 2 ) ) |
---|
1399 | |
---|
1400 | dist_yz(:,:,3) = ( dist_yz(:,:,3) - mc_factor(3) ) & |
---|
1401 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1402 | BTEST( wall_flags_0(:,:,i), 3 ) ) |
---|
1403 | ! |
---|
1404 | !-- Add disturbances |
---|
1405 | IF ( myidx == id_stg_left ) THEN |
---|
1406 | ! |
---|
1407 | !-- For the left boundary distinguish between mesoscale offline / self |
---|
1408 | !-- nesting and turbulent inflow at the left boundary only. In the latter |
---|
1409 | !-- case turbulence is imposed on the mean inflow profiles. |
---|
1410 | IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) THEN |
---|
1411 | ! |
---|
1412 | !-- Add disturbance at the inflow |
---|
1413 | DO j = nysg, nyng |
---|
1414 | DO k = nzb, nzt+1 |
---|
1415 | u(k,j,-nbgp+1:0) = ( mean_inflow_profiles(k,1) + & |
---|
1416 | dist_yz(k,j,1) ) & |
---|
1417 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1418 | BTEST( wall_flags_0(k,j,0), 1 ) ) |
---|
1419 | v(k,j,-nbgp:-1) = ( mean_inflow_profiles(k,2) + & |
---|
1420 | dist_yz(k,j,2) ) & |
---|
1421 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1422 | BTEST( wall_flags_0(k,j,-1), 2 ) ) |
---|
1423 | w(k,j,-nbgp:-1) = dist_yz(k,j,3) & |
---|
1424 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1425 | BTEST( wall_flags_0(k,j,-1), 3 ) ) |
---|
1426 | ENDDO |
---|
1427 | ENDDO |
---|
1428 | ELSE |
---|
1429 | |
---|
1430 | DO j = nys, nyn |
---|
1431 | DO k = nzb+1, nzt |
---|
1432 | u(k,j,0) = ( u(k,j,0) + dist_yz(k,j,1) ) & |
---|
1433 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1434 | BTEST( wall_flags_0(k,j,0), 1 ) ) |
---|
1435 | u(k,j,-1) = u(k,j,0) |
---|
1436 | v(k,j,-1) = ( v(k,j,-1) + dist_yz(k,j,2) ) & |
---|
1437 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1438 | BTEST( wall_flags_0(k,j,-1), 2 ) ) |
---|
1439 | w(k,j,-1) = ( w(k,j,-1) + dist_yz(k,j,3) ) & |
---|
1440 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1441 | BTEST( wall_flags_0(k,j,-1), 3 ) ) |
---|
1442 | ENDDO |
---|
1443 | ENDDO |
---|
1444 | ENDIF |
---|
1445 | ENDIF |
---|
1446 | IF ( myidx == id_stg_right ) THEN |
---|
1447 | DO j = nys, nyn |
---|
1448 | DO k = nzb+1, nzt |
---|
1449 | u(k,j,nxr+1) = ( u(k,j,nxr+1) + dist_yz(k,j,1) ) & |
---|
1450 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1451 | BTEST( wall_flags_0(k,j,nxr+1), 1 ) ) |
---|
1452 | v(k,j,nxr+1) = ( v(k,j,nxr+1) + dist_yz(k,j,2) ) & |
---|
1453 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1454 | BTEST( wall_flags_0(k,j,nxr+1), 2 ) ) |
---|
1455 | w(k,j,nxr+1) = ( w(k,j,nxr+1) + dist_yz(k,j,3) ) & |
---|
1456 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1457 | BTEST( wall_flags_0(k,j,nxr+1), 3 ) ) |
---|
1458 | ENDDO |
---|
1459 | ENDDO |
---|
1460 | ENDIF |
---|
1461 | ENDIF |
---|
1462 | ENDIF |
---|
1463 | ! |
---|
1464 | !-- Turbulence generation at north and south boundary |
---|
1465 | IF ( myidy == id_stg_north .OR. myidy == id_stg_south ) THEN |
---|
1466 | ! |
---|
1467 | !-- Calculate new set of perturbations. Do this only at last RK3-substep and |
---|
1468 | !-- when dt_stg_call is exceeded. Else the old set of perturbations is |
---|
1469 | !-- imposed |
---|
1470 | IF ( stg_call ) THEN |
---|
1471 | DO i = nxlg, nxrg |
---|
1472 | DO k = nzb, nzt + 1 |
---|
1473 | ! |
---|
1474 | !-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008) |
---|
1475 | IF ( tu(k) == 0.0_wp ) THEN |
---|
1476 | fu_xz(k,i) = fuo_xz(k,i) |
---|
1477 | ELSE |
---|
1478 | fu_xz(k,i) = fu_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + & |
---|
1479 | fuo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) ) |
---|
1480 | ENDIF |
---|
1481 | |
---|
1482 | IF ( tv(k) == 0.0_wp ) THEN |
---|
1483 | fv_xz(k,i) = fvo_xz(k,i) |
---|
1484 | ELSE |
---|
1485 | fv_xz(k,i) = fv_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + & |
---|
1486 | fvo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) ) |
---|
1487 | ENDIF |
---|
1488 | |
---|
1489 | IF ( tw(k) == 0.0_wp ) THEN |
---|
1490 | fw_xz(k,i) = fwo_xz(k,i) |
---|
1491 | ELSE |
---|
1492 | fw_xz(k,i) = fw_xz(k,i) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + & |
---|
1493 | fwo_xz(k,i) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) ) |
---|
1494 | ENDIF |
---|
1495 | ENDDO |
---|
1496 | ENDDO |
---|
1497 | |
---|
1498 | |
---|
1499 | dist_xz(nzb,:,1) = 0.0_wp |
---|
1500 | dist_xz(nzb,:,2) = 0.0_wp |
---|
1501 | dist_xz(nzb,:,3) = 0.0_wp |
---|
1502 | |
---|
1503 | IF ( myidy == id_stg_south ) j = nys |
---|
1504 | IF ( myidy == id_stg_north ) j = nyn+1 |
---|
1505 | DO i = nxlg, nxrg |
---|
1506 | DO k = nzb+1, nzt + 1 |
---|
1507 | ! |
---|
1508 | !-- Lund rotation following Eq. 17 in Xie and Castro (2008). |
---|
1509 | !-- Additional factors are added to improve the variance of v and w |
---|
1510 | !experimental test of 1.2 |
---|
1511 | dist_xz(k,i,2) = MIN( ( SQRT( a22(k) / MAXVAL(a22) ) & |
---|
1512 | * 1.2_wp ) & |
---|
1513 | * ( a21(k) * fu_xz(k,i) & |
---|
1514 | + a22(k) * fv_xz(k,i) ), 3.0_wp ) * & |
---|
1515 | MERGE( 1.0_wp, 0.0_wp, & |
---|
1516 | BTEST( wall_flags_0(k,j,i), 2 ) ) |
---|
1517 | ENDDO |
---|
1518 | ENDDO |
---|
1519 | |
---|
1520 | IF ( myidy == id_stg_south ) j = nys-1 |
---|
1521 | IF ( myidy == id_stg_north ) j = nyn+1 |
---|
1522 | DO i = nxlg, nxrg |
---|
1523 | DO k = nzb+1, nzt + 1 |
---|
1524 | ! |
---|
1525 | !-- Lund rotation following Eq. 17 in Xie and Castro (2008). |
---|
1526 | !-- Additional factors are added to improve the variance of v and w |
---|
1527 | dist_xz(k,i,1) = MIN( a11(k) * fu_xz(k,i), 3.0_wp ) * & |
---|
1528 | MERGE( 1.0_wp, 0.0_wp, & |
---|
1529 | BTEST( wall_flags_0(k,j,i), 1 ) ) |
---|
1530 | |
---|
1531 | dist_xz(k,i,3) = MIN( ( SQRT(a33(k) / MAXVAL(a33) ) & |
---|
1532 | * 1.3_wp ) & |
---|
1533 | * ( a31(k) * fu_xz(k,i) & |
---|
1534 | + a32(k) * fv_xz(k,i) & |
---|
1535 | + a33(k) * fw_xz(k,i) ), 3.0_wp ) * & |
---|
1536 | MERGE( 1.0_wp, 0.0_wp, & |
---|
1537 | BTEST( wall_flags_0(k,j,i), 3 ) ) |
---|
1538 | ENDDO |
---|
1539 | ENDDO |
---|
1540 | ENDIF |
---|
1541 | |
---|
1542 | ! |
---|
1543 | !-- Mass flux correction following Kim et al. (2013) |
---|
1544 | !-- This correction factor insures that the mass flux is preserved at the |
---|
1545 | !-- inflow boundary. First, calculate mean value of the imposed |
---|
1546 | !-- perturbations at yz boundary. |
---|
1547 | !-- Note, this needs to be done only after the last RK3-substep, else |
---|
1548 | !-- the boundary values won't be accessed. |
---|
1549 | IF ( intermediate_timestep_count == intermediate_timestep_count_max ) THEN |
---|
1550 | mc_factor_l = 0.0_wp |
---|
1551 | mc_factor = 0.0_wp |
---|
1552 | |
---|
1553 | IF ( myidy == id_stg_south ) j = nys |
---|
1554 | IF ( myidy == id_stg_north ) j = nyn+1 |
---|
1555 | |
---|
1556 | mc_factor_l(2) = SUM( dist_xz(nzb:nzt,nxl:nxr,2) & |
---|
1557 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1558 | BTEST( wall_flags_0(nzb:nzt,j,nxl:nxr), 2 ) ) ) |
---|
1559 | |
---|
1560 | IF ( myidy == id_stg_south ) j = nys-1 |
---|
1561 | IF ( myidy == id_stg_north ) j = nyn+1 |
---|
1562 | |
---|
1563 | mc_factor_l(1) = SUM( dist_xz(nzb:nzt,nxlu:nxr,1) & |
---|
1564 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1565 | BTEST( wall_flags_0(nzb:nzt,j,nxlu:nxr), 1 ) ) ) |
---|
1566 | mc_factor_l(3) = SUM( dist_xz(nzb:nzt,nxl:nxr,3) & |
---|
1567 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1568 | BTEST( wall_flags_0(nzb:nzt,j,nxl:nxr), 3 ) ) ) |
---|
1569 | |
---|
1570 | #if defined( __parallel ) |
---|
1571 | CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, & |
---|
1572 | 3, MPI_REAL, MPI_SUM, comm1dx, ierr ) |
---|
1573 | #else |
---|
1574 | mc_factor = mc_factor_l |
---|
1575 | #endif |
---|
1576 | |
---|
1577 | mc_factor = mc_factor / REAL( nr_non_topo_xz, KIND = wp ) |
---|
1578 | |
---|
1579 | IF ( myidy == id_stg_south ) j = nys |
---|
1580 | IF ( myidy == id_stg_north ) j = nyn+1 |
---|
1581 | |
---|
1582 | dist_xz(:,:,2) = ( dist_xz(:,:,2) - mc_factor(2) ) & |
---|
1583 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1584 | BTEST( wall_flags_0(:,j,:), 2 ) ) |
---|
1585 | |
---|
1586 | |
---|
1587 | IF ( myidy == id_stg_south ) j = nys-1 |
---|
1588 | IF ( myidy == id_stg_north ) j = nyn+1 |
---|
1589 | |
---|
1590 | dist_xz(:,:,1) = ( dist_xz(:,:,1) - mc_factor(1) ) & |
---|
1591 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1592 | BTEST( wall_flags_0(:,j,:), 1 ) ) |
---|
1593 | |
---|
1594 | dist_xz(:,:,3) = ( dist_xz(:,:,3) - mc_factor(3) ) & |
---|
1595 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1596 | BTEST( wall_flags_0(:,j,:), 3 ) ) |
---|
1597 | ! |
---|
1598 | !-- Add disturbances |
---|
1599 | IF ( myidy == id_stg_south ) THEN |
---|
1600 | DO i = nxl, nxr |
---|
1601 | DO k = nzb+1, nzt |
---|
1602 | u(k,-1,i) = ( u(k,-1,i) + dist_xz(k,i,1) ) & |
---|
1603 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1604 | BTEST( wall_flags_0(k,-1,i), 1 ) ) |
---|
1605 | v(k,0,i) = ( v(k,0,i) + dist_xz(k,i,2) ) & |
---|
1606 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1607 | BTEST( wall_flags_0(k,0,i), 2 ) ) |
---|
1608 | v(k,-1,i) = v(k,0,i) |
---|
1609 | w(k,-1,i) = ( w(k,-1,i) + dist_xz(k,i,3) ) & |
---|
1610 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1611 | BTEST( wall_flags_0(k,-1,i), 3 ) ) |
---|
1612 | ENDDO |
---|
1613 | ENDDO |
---|
1614 | ENDIF |
---|
1615 | IF ( myidy == id_stg_north ) THEN |
---|
1616 | |
---|
1617 | DO i = nxl, nxr |
---|
1618 | DO k = nzb+1, nzt |
---|
1619 | u(k,nyn+1,i) = ( u(k,nyn+1,i) + dist_xz(k,i,1) ) & |
---|
1620 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1621 | BTEST( wall_flags_0(k,nyn+1,i), 1 ) ) |
---|
1622 | v(k,nyn+1,i) = ( v(k,nyn+1,i) + dist_xz(k,i,2) ) & |
---|
1623 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1624 | BTEST( wall_flags_0(k,nyn+1,i), 2 ) ) |
---|
1625 | w(k,nyn+1,i) = ( w(k,nyn+1,i) + dist_xz(k,i,3) ) & |
---|
1626 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
1627 | BTEST( wall_flags_0(k,nyn+1,i), 3 ) ) |
---|
1628 | ENDDO |
---|
1629 | ENDDO |
---|
1630 | ENDIF |
---|
1631 | ENDIF |
---|
1632 | ENDIF |
---|
1633 | ! |
---|
1634 | !-- Finally, set time counter for calling STG to zero |
---|
1635 | IF ( stg_call ) time_stg_call = 0.0_wp |
---|
1636 | |
---|
1637 | IF ( debug_output_timestep ) CALL debug_message( 'stg_main', 'end' ) |
---|
1638 | |
---|
1639 | END SUBROUTINE stg_main |
---|
1640 | |
---|
1641 | !------------------------------------------------------------------------------! |
---|
1642 | ! Description: |
---|
1643 | ! ------------ |
---|
1644 | !> Generate a set of random number rand_it wich is equal on each PE |
---|
1645 | !> and calculate the velocity seed f_n. |
---|
1646 | !> f_n is splitted in vertical direction by the number of PEs in x-direction and |
---|
1647 | !> and each PE calculates a vertical subsection of f_n. At the the end, all |
---|
1648 | !> parts are collected to form the full array. |
---|
1649 | !------------------------------------------------------------------------------! |
---|
1650 | SUBROUTINE stg_generate_seed_yz( n_y, n_z, b_y, b_z, f_n, id ) |
---|
1651 | |
---|
1652 | IMPLICIT NONE |
---|
1653 | |
---|
1654 | INTEGER(iwp) :: id !< core ids at respective boundaries |
---|
1655 | INTEGER(iwp) :: j !< loop index in y-direction |
---|
1656 | INTEGER(iwp) :: jj !< loop index in y-direction |
---|
1657 | INTEGER(iwp) :: k !< loop index in z-direction |
---|
1658 | INTEGER(iwp) :: kk !< loop index in z-direction |
---|
1659 | INTEGER(iwp) :: send_count !< send count for MPI_GATHERV |
---|
1660 | |
---|
1661 | INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y !< length scale in y-direction |
---|
1662 | INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction |
---|
1663 | INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y2 !< n_y*2 |
---|
1664 | INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2 |
---|
1665 | |
---|
1666 | REAL(wp) :: nyz_inv !< inverse of number of grid points in yz-slice |
---|
1667 | REAL(wp) :: rand_av !< average of random number |
---|
1668 | REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number |
---|
1669 | |
---|
1670 | REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_y !< filter function in y-direction |
---|
1671 | REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter function in z-direction |
---|
1672 | REAL(wp), DIMENSION(nzb_x_stg:nzt_x_stg+1,nysg:nyng) :: f_n_l !< local velocity seed |
---|
1673 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng) :: f_n !< velocity seed |
---|
1674 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number |
---|
1675 | |
---|
1676 | |
---|
1677 | ! |
---|
1678 | !-- Generate random numbers using a seed generated in stg_init. |
---|
1679 | !-- The set of random numbers are modified to have an average of 0 and |
---|
1680 | !-- unit variance. |
---|
1681 | ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:ny+mergp) ) |
---|
1682 | |
---|
1683 | rand_av = 0.0_wp |
---|
1684 | rand_sigma_inv = 0.0_wp |
---|
1685 | nyz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( ny+1 ), KIND=wp ) |
---|
1686 | |
---|
1687 | DO j = 0, ny |
---|
1688 | DO k = nzb, nzt+1 |
---|
1689 | CALL RANDOM_NUMBER( rand_it(k,j) ) |
---|
1690 | rand_av = rand_av + rand_it(k,j) |
---|
1691 | ENDDO |
---|
1692 | ENDDO |
---|
1693 | |
---|
1694 | rand_av = rand_av * nyz_inv |
---|
1695 | |
---|
1696 | DO j = 0, ny |
---|
1697 | DO k = nzb, nzt+1 |
---|
1698 | rand_it(k,j) = rand_it(k,j) - rand_av |
---|
1699 | rand_sigma_inv = rand_sigma_inv + rand_it(k,j) ** 2 |
---|
1700 | ENDDO |
---|
1701 | ENDDO |
---|
1702 | |
---|
1703 | rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nyz_inv) |
---|
1704 | |
---|
1705 | DO j = 0, ny |
---|
1706 | DO k = nzb, nzt+1 |
---|
1707 | rand_it(k,j) = rand_it(k,j) * rand_sigma_inv |
---|
1708 | ENDDO |
---|
1709 | ENDDO |
---|
1710 | |
---|
1711 | ! |
---|
1712 | !-- Periodic fill of random number in space |
---|
1713 | DO j = 0, ny |
---|
1714 | DO k = 1, mergp |
---|
1715 | rand_it(nzb -k,j) = rand_it(nzt+2-k,j) ! bottom margin |
---|
1716 | rand_it(nzt+1+k,j) = rand_it(nzb+k-1,j) ! top margin |
---|
1717 | ENDDO |
---|
1718 | ENDDO |
---|
1719 | DO j = 1, mergp |
---|
1720 | DO k = nzb-mergp, nzt+1+mergp |
---|
1721 | rand_it(k, -j) = rand_it(k,ny-j+1) ! south margin |
---|
1722 | rand_it(k,ny+j) = rand_it(k, j-1) ! north margin |
---|
1723 | ENDDO |
---|
1724 | ENDDO |
---|
1725 | |
---|
1726 | ! |
---|
1727 | !-- Generate velocity seed following Eq.6 of Xie and Castro (2008) |
---|
1728 | n_y2 = n_y * 2 |
---|
1729 | n_z2 = n_z * 2 |
---|
1730 | f_n_l = 0.0_wp |
---|
1731 | |
---|
1732 | DO j = nysg, nyng |
---|
1733 | DO k = nzb_x_stg, nzt_x_stg+1 |
---|
1734 | DO jj = -n_y2(k), n_y2(k) |
---|
1735 | DO kk = -n_z2(k), n_z2(k) |
---|
1736 | f_n_l(k,j) = f_n_l(k,j) & |
---|
1737 | + b_y(jj,k) * b_z(kk,k) * rand_it(k+kk,j+jj) |
---|
1738 | ENDDO |
---|
1739 | ENDDO |
---|
1740 | ENDDO |
---|
1741 | ENDDO |
---|
1742 | |
---|
1743 | DEALLOCATE( rand_it ) |
---|
1744 | ! |
---|
1745 | !-- Gather velocity seeds of full subdomain |
---|
1746 | send_count = nzt_x_stg - nzb_x_stg + 1 |
---|
1747 | IF ( nzt_x_stg == nzt ) send_count = send_count + 1 |
---|
1748 | |
---|
1749 | #if defined( __parallel ) |
---|
1750 | CALL MPI_GATHERV( f_n_l(nzb_x_stg,nysg), send_count, stg_type_yz_small, & |
---|
1751 | f_n(nzb+1,nysg), recv_count_yz, displs_yz, stg_type_yz, & |
---|
1752 | id, comm1dx, ierr ) |
---|
1753 | #else |
---|
1754 | f_n(nzb+1:nzt+1,nysg:nyng) = f_n_l(nzb_x_stg:nzt_x_stg+1,nysg:nyng) |
---|
1755 | #endif |
---|
1756 | |
---|
1757 | |
---|
1758 | END SUBROUTINE stg_generate_seed_yz |
---|
1759 | |
---|
1760 | |
---|
1761 | |
---|
1762 | |
---|
1763 | !------------------------------------------------------------------------------! |
---|
1764 | ! Description: |
---|
1765 | ! ------------ |
---|
1766 | !> Generate a set of random number rand_it wich is equal on each PE |
---|
1767 | !> and calculate the velocity seed f_n. |
---|
1768 | !> f_n is splitted in vertical direction by the number of PEs in y-direction and |
---|
1769 | !> and each PE calculates a vertical subsection of f_n. At the the end, all |
---|
1770 | !> parts are collected to form the full array. |
---|
1771 | !------------------------------------------------------------------------------! |
---|
1772 | SUBROUTINE stg_generate_seed_xz( n_x, n_z, b_x, b_z, f_n, id ) |
---|
1773 | |
---|
1774 | IMPLICIT NONE |
---|
1775 | |
---|
1776 | INTEGER(iwp) :: id !< core ids at respective boundaries |
---|
1777 | INTEGER(iwp) :: i !< loop index in x-direction |
---|
1778 | INTEGER(iwp) :: ii !< loop index in x-direction |
---|
1779 | INTEGER(iwp) :: k !< loop index in z-direction |
---|
1780 | INTEGER(iwp) :: kk !< loop index in z-direction |
---|
1781 | INTEGER(iwp) :: send_count !< send count for MPI_GATHERV |
---|
1782 | |
---|
1783 | INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x !< length scale in x-direction |
---|
1784 | INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction |
---|
1785 | INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_x2 !< n_x*2 |
---|
1786 | INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2 |
---|
1787 | |
---|
1788 | REAL(wp) :: nxz_inv !< inverse of number of grid points in xz-slice |
---|
1789 | REAL(wp) :: rand_av !< average of random number |
---|
1790 | REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number |
---|
1791 | |
---|
1792 | REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_x !< filter function in x-direction |
---|
1793 | REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter function in z-direction |
---|
1794 | REAL(wp), DIMENSION(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg) :: f_n_l !< local velocity seed |
---|
1795 | REAL(wp), DIMENSION(nzb:nzt+1,nxlg:nxrg) :: f_n !< velocity seed |
---|
1796 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number |
---|
1797 | |
---|
1798 | |
---|
1799 | ! |
---|
1800 | !-- Generate random numbers using a seed generated in stg_init. |
---|
1801 | !-- The set of random numbers are modified to have an average of 0 and |
---|
1802 | !-- unit variance. |
---|
1803 | ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:nx+mergp) ) |
---|
1804 | |
---|
1805 | rand_av = 0.0_wp |
---|
1806 | rand_sigma_inv = 0.0_wp |
---|
1807 | nxz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( nx+1 ), KIND=wp ) |
---|
1808 | |
---|
1809 | DO i = 0, nx |
---|
1810 | DO k = nzb, nzt+1 |
---|
1811 | CALL RANDOM_NUMBER( rand_it(k,i) ) |
---|
1812 | rand_av = rand_av + rand_it(k,i) |
---|
1813 | ENDDO |
---|
1814 | ENDDO |
---|
1815 | |
---|
1816 | rand_av = rand_av * nxz_inv |
---|
1817 | |
---|
1818 | DO i = 0, nx |
---|
1819 | DO k = nzb, nzt+1 |
---|
1820 | rand_it(k,i) = rand_it(k,i) - rand_av |
---|
1821 | rand_sigma_inv = rand_sigma_inv + rand_it(k,i) ** 2 |
---|
1822 | ENDDO |
---|
1823 | ENDDO |
---|
1824 | |
---|
1825 | rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nxz_inv) |
---|
1826 | |
---|
1827 | DO i = 0, nx |
---|
1828 | DO k = nzb, nzt+1 |
---|
1829 | rand_it(k,i) = rand_it(k,i) * rand_sigma_inv |
---|
1830 | ENDDO |
---|
1831 | ENDDO |
---|
1832 | |
---|
1833 | ! |
---|
1834 | !-- Periodic fill of random number in space |
---|
1835 | DO i = 0, nx |
---|
1836 | DO k = 1, mergp |
---|
1837 | rand_it(nzb-k,i) = rand_it(nzt+2-k,i) ! bottom margin |
---|
1838 | rand_it(nzt+1+k,i) = rand_it(nzb+k-1,i) ! top margin |
---|
1839 | ENDDO |
---|
1840 | ENDDO |
---|
1841 | DO i = 1, mergp |
---|
1842 | DO k = nzb-mergp, nzt+1+mergp |
---|
1843 | rand_it(k,-i) = rand_it(k,nx-i+1) ! left margin |
---|
1844 | rand_it(k,nx+i) = rand_it(k,i-1) ! right margin |
---|
1845 | ENDDO |
---|
1846 | ENDDO |
---|
1847 | |
---|
1848 | ! |
---|
1849 | !-- Generate velocity seed following Eq.6 of Xie and Castro (2008) |
---|
1850 | n_x2 = n_x * 2 |
---|
1851 | n_z2 = n_z * 2 |
---|
1852 | f_n_l = 0.0_wp |
---|
1853 | |
---|
1854 | DO i = nxlg, nxrg |
---|
1855 | DO k = nzb_y_stg, nzt_y_stg+1 |
---|
1856 | DO ii = -n_x2(k), n_x2(k) |
---|
1857 | DO kk = -n_z2(k), n_z2(k) |
---|
1858 | f_n_l(k,i) = f_n_l(k,i) & |
---|
1859 | + b_x(ii,k) * b_z(kk,k) * rand_it(k+kk,i+ii) |
---|
1860 | ENDDO |
---|
1861 | ENDDO |
---|
1862 | ENDDO |
---|
1863 | ENDDO |
---|
1864 | |
---|
1865 | DEALLOCATE( rand_it ) |
---|
1866 | |
---|
1867 | ! |
---|
1868 | !-- Gather velocity seeds of full subdomain |
---|
1869 | send_count = nzt_y_stg - nzb_y_stg + 1 |
---|
1870 | IF ( nzt_y_stg == nzt ) send_count = send_count + 1 |
---|
1871 | |
---|
1872 | |
---|
1873 | #if defined( __parallel ) |
---|
1874 | CALL MPI_GATHERV( f_n_l(nzb_y_stg,nxlg), send_count, stg_type_xz_small, & |
---|
1875 | f_n(nzb+1,nxlg), recv_count_xz, displs_xz, stg_type_xz, & |
---|
1876 | id, comm1dy, ierr ) |
---|
1877 | #else |
---|
1878 | f_n(nzb+1:nzt+1,nxlg:nxrg) = f_n_l(nzb_y_stg:nzt_y_stg+1,nxlg:nxrg) |
---|
1879 | #endif |
---|
1880 | |
---|
1881 | |
---|
1882 | END SUBROUTINE stg_generate_seed_xz |
---|
1883 | |
---|
1884 | !------------------------------------------------------------------------------! |
---|
1885 | ! Description: |
---|
1886 | ! ------------ |
---|
1887 | !> Parametrization of the Reynolds stress tensor, following the parametrization |
---|
1888 | !> described in Rotach et al. (1996), which is applied in state-of-the-art |
---|
1889 | !> dispserion modelling. Please note, the parametrization does not distinguish |
---|
1890 | !> between along-wind and cross-wind turbulence. |
---|
1891 | !------------------------------------------------------------------------------! |
---|
1892 | SUBROUTINE parametrize_reynolds_stress |
---|
1893 | |
---|
1894 | IMPLICIT NONE |
---|
1895 | |
---|
1896 | INTEGER(iwp) :: k !< loop index in z-direction |
---|
1897 | |
---|
1898 | REAL(wp) :: zzi !< ratio of z/zi |
---|
1899 | |
---|
1900 | DO k = nzb+1, nzt+1 |
---|
1901 | ! |
---|
1902 | !-- Calculate function to gradually decrease Reynolds stress above ABL top. |
---|
1903 | !-- The function decreases to 1/10 after one length scale above the |
---|
1904 | !-- ABL top. |
---|
1905 | blend = MIN( 1.0_wp, EXP( d_l * zu(k) - d_l * zi_ribulk ) ) |
---|
1906 | ! |
---|
1907 | !-- Determine normalized height coordinate |
---|
1908 | zzi = zu(k) / zi_ribulk |
---|
1909 | ! |
---|
1910 | !-- u'u' and v'v'. Assume isotropy. Note, add a small negative number |
---|
1911 | !-- to the denominator, else the merge-function can crash if scale_l is |
---|
1912 | !-- zero. |
---|
1913 | r11(k) = scale_us**2 * ( & |
---|
1914 | MERGE( 0.35_wp * ABS( & |
---|
1915 | - zi_ribulk / ( kappa * scale_l - 10E-4_wp ) & |
---|
1916 | )**( 2.0_wp / 3.0_wp ), & |
---|
1917 | 0.0_wp, & |
---|
1918 | scale_l < 0.0_wp ) & |
---|
1919 | + 5.0_wp - 4.0_wp * zzi & |
---|
1920 | ) * blend |
---|
1921 | |
---|
1922 | r22(k) = r11(k) |
---|
1923 | ! |
---|
1924 | !-- w'w' |
---|
1925 | r33(k) = scale_wm**2 * ( & |
---|
1926 | 1.5_wp * zzi**( 2.0_wp / 3.0_wp ) * EXP( -2.0_wp * zzi ) & |
---|
1927 | + ( 1.7_wp - zzi ) * ( scale_us / scale_wm )**2 & |
---|
1928 | ) * blend |
---|
1929 | ! |
---|
1930 | !-- u'w' and v'w'. Assume isotropy. |
---|
1931 | r31(k) = - scale_us**2 * ( 1.01_wp - MIN( zzi, 1.0_wp ) ) * blend |
---|
1932 | r32(k) = r31(k) |
---|
1933 | ! |
---|
1934 | !-- For u'v' no parametrization exist so far - ?. For simplicity assume |
---|
1935 | !-- a similar profile as for u'w'. |
---|
1936 | r21(k) = r31(k) |
---|
1937 | ENDDO |
---|
1938 | |
---|
1939 | ! |
---|
1940 | !-- Set bottom boundary condition |
---|
1941 | r11(nzb) = r11(nzb+1) |
---|
1942 | r22(nzb) = r22(nzb+1) |
---|
1943 | r33(nzb) = r33(nzb+1) |
---|
1944 | |
---|
1945 | r21(nzb) = r11(nzb+1) |
---|
1946 | r31(nzb) = r31(nzb+1) |
---|
1947 | r32(nzb) = r32(nzb+1) |
---|
1948 | |
---|
1949 | |
---|
1950 | END SUBROUTINE parametrize_reynolds_stress |
---|
1951 | |
---|
1952 | !------------------------------------------------------------------------------! |
---|
1953 | ! Description: |
---|
1954 | ! ------------ |
---|
1955 | !> Calculate the coefficient matrix from the Lund rotation. |
---|
1956 | !------------------------------------------------------------------------------! |
---|
1957 | SUBROUTINE calc_coeff_matrix |
---|
1958 | |
---|
1959 | IMPLICIT NONE |
---|
1960 | |
---|
1961 | INTEGER(iwp) :: k !< loop index in z-direction |
---|
1962 | |
---|
1963 | ! |
---|
1964 | !-- Calculate coefficient matrix. Split loops to allow for loop vectorization. |
---|
1965 | DO k = nzb+1, nzt+1 |
---|
1966 | IF ( r11(k) > 10E-6_wp ) THEN |
---|
1967 | a11(k) = SQRT( r11(k) ) |
---|
1968 | a21(k) = r21(k) / a11(k) |
---|
1969 | a31(k) = r31(k) / a11(k) |
---|
1970 | ELSE |
---|
1971 | a11(k) = 10E-8_wp |
---|
1972 | a21(k) = 10E-8_wp |
---|
1973 | a31(k) = 10E-8_wp |
---|
1974 | ENDIF |
---|
1975 | ENDDO |
---|
1976 | DO k = nzb+1, nzt+1 |
---|
1977 | a22(k) = r22(k) - a21(k)**2 |
---|
1978 | IF ( a22(k) > 10E-6_wp ) THEN |
---|
1979 | a22(k) = SQRT( a22(k) ) |
---|
1980 | a32(k) = r32(k) - a21(k) * a31(k) / a22(k) |
---|
1981 | ELSE |
---|
1982 | a22(k) = 10E-8_wp |
---|
1983 | a32(k) = 10E-8_wp |
---|
1984 | ENDIF |
---|
1985 | ENDDO |
---|
1986 | DO k = nzb+1, nzt+1 |
---|
1987 | a33(k) = r33(k) - a31(k)**2 - a32(k)**2 |
---|
1988 | IF ( a33(k) > 10E-6_wp ) THEN |
---|
1989 | a33(k) = SQRT( a33(k) ) |
---|
1990 | ELSE |
---|
1991 | a33(k) = 10E-8_wp |
---|
1992 | ENDIF |
---|
1993 | ENDDO |
---|
1994 | ! |
---|
1995 | !-- Set bottom boundary condition |
---|
1996 | a11(nzb) = a11(nzb+1) |
---|
1997 | a22(nzb) = a22(nzb+1) |
---|
1998 | a21(nzb) = a21(nzb+1) |
---|
1999 | a33(nzb) = a33(nzb+1) |
---|
2000 | a31(nzb) = a31(nzb+1) |
---|
2001 | a32(nzb) = a32(nzb+1) |
---|
2002 | |
---|
2003 | END SUBROUTINE calc_coeff_matrix |
---|
2004 | |
---|
2005 | !------------------------------------------------------------------------------! |
---|
2006 | ! Description: |
---|
2007 | ! ------------ |
---|
2008 | !> This routine controls the re-adjustment of the turbulence statistics used |
---|
2009 | !> for generating turbulence at the lateral boundaries. |
---|
2010 | !------------------------------------------------------------------------------! |
---|
2011 | SUBROUTINE stg_adjust |
---|
2012 | |
---|
2013 | IMPLICIT NONE |
---|
2014 | |
---|
2015 | |
---|
2016 | IF ( debug_output_timestep ) CALL debug_message( 'stg_adjust', 'start' ) |
---|
2017 | ! |
---|
2018 | !-- In case of dirichlet inflow boundary conditions only at one lateral |
---|
2019 | !-- boundary, i.e. in the case no offline or self nesting is applied but |
---|
2020 | !-- synthetic turbulence shall be parametrized nevertheless, the |
---|
2021 | !-- boundary-layer depth need to determined first. |
---|
2022 | IF ( .NOT. nesting_offline .AND. .NOT. child_domain ) & |
---|
2023 | CALL nesting_offl_calc_zi |
---|
2024 | ! |
---|
2025 | !-- Compute scaling parameters (domain-averaged), such as friction velocity |
---|
2026 | !-- are calculated. |
---|
2027 | CALL calc_scaling_variables |
---|
2028 | ! |
---|
2029 | !-- Set length and time scales depending on boundary-layer height |
---|
2030 | CALL calc_length_and_time_scale |
---|
2031 | ! |
---|
2032 | !-- Parametrize Reynolds-stress tensor, diagonal elements as well |
---|
2033 | !-- as r21 (v'u'), r31 (w'u'), r32 (w'v'). Parametrization follows |
---|
2034 | !-- Rotach et al. (1996) and is based on boundary-layer depth, |
---|
2035 | !-- friction velocity and velocity scale. |
---|
2036 | CALL parametrize_reynolds_stress |
---|
2037 | ! |
---|
2038 | !-- Calculate coefficient matrix from Reynolds stress tensor |
---|
2039 | !-- (Lund rotation) |
---|
2040 | CALL calc_coeff_matrix |
---|
2041 | ! |
---|
2042 | !-- Determine filter functions on basis of updated length scales |
---|
2043 | CALL stg_filter_func( nux, bux ) !filter ux |
---|
2044 | CALL stg_filter_func( nuy, buy ) !filter uy |
---|
2045 | CALL stg_filter_func( nuz, buz ) !filter uz |
---|
2046 | CALL stg_filter_func( nvx, bvx ) !filter vx |
---|
2047 | CALL stg_filter_func( nvy, bvy ) !filter vy |
---|
2048 | CALL stg_filter_func( nvz, bvz ) !filter vz |
---|
2049 | CALL stg_filter_func( nwx, bwx ) !filter wx |
---|
2050 | CALL stg_filter_func( nwy, bwy ) !filter wy |
---|
2051 | CALL stg_filter_func( nwz, bwz ) !filter wz |
---|
2052 | ! |
---|
2053 | !-- Reset time counter for controlling next adjustment to zero |
---|
2054 | time_stg_adjust = 0.0_wp |
---|
2055 | |
---|
2056 | IF ( debug_output_timestep ) CALL debug_message( 'stg_adjust', 'end' ) |
---|
2057 | |
---|
2058 | END SUBROUTINE stg_adjust |
---|
2059 | |
---|
2060 | |
---|
2061 | !------------------------------------------------------------------------------! |
---|
2062 | ! Description: |
---|
2063 | ! ------------ |
---|
2064 | !> Calculates turbuluent length and time scales if these are not available |
---|
2065 | !> from measurements. |
---|
2066 | !------------------------------------------------------------------------------! |
---|
2067 | SUBROUTINE calc_length_and_time_scale |
---|
2068 | |
---|
2069 | IMPLICIT NONE |
---|
2070 | |
---|
2071 | |
---|
2072 | INTEGER(iwp) :: k !< loop index in z-direction |
---|
2073 | |
---|
2074 | REAL(wp) :: length_scale_dum !< effectively used length scale |
---|
2075 | |
---|
2076 | ! |
---|
2077 | !-- In initial call the boundary-layer depth can be zero. This case, set |
---|
2078 | !-- minimum value for boundary-layer depth, to setup length scales correctly. |
---|
2079 | zi_ribulk = MAX( zi_ribulk, zw(nzb+2) ) |
---|
2080 | ! |
---|
2081 | !-- Set-up default turbulent length scales. From the numerical point of |
---|
2082 | !-- view the imposed perturbations should not be immediately dissipated |
---|
2083 | !-- by the numerics. The numerical dissipation, however, acts on scales |
---|
2084 | !-- up to 8 x the grid spacing. For this reason, set the turbulence |
---|
2085 | !-- length scale to 8 time the grid spacing. Further, above the boundary |
---|
2086 | !-- layer height, set turbulence lenght scales to zero (equivalent to not |
---|
2087 | !-- imposing any perturbations) in order to save computational costs. |
---|
2088 | !-- Typical time scales are derived by assuming Taylors's hypothesis, |
---|
2089 | !-- using the length scales and the mean profiles of u- and v-component. |
---|
2090 | DO k = nzb+1, nzt+1 |
---|
2091 | ! |
---|
2092 | !-- Determine blending parameter. Within the boundary layer length scales |
---|
2093 | !-- are constant, while above lengths scales approach gradully zero, |
---|
2094 | !-- i.e. imposed turbulence is not correlated in space and time, |
---|
2095 | !-- just white noise, which saves computations power as the loops for the |
---|
2096 | !-- computation of the filter functions depend on the length scales. |
---|
2097 | !-- The value decreases to 1/10 after one length scale above the |
---|
2098 | !-- ABL top. |
---|
2099 | blend = MIN( 1.0_wp, EXP( d_l * zu(k) - d_l * zi_ribulk ) ) |
---|
2100 | ! |
---|
2101 | !-- Assume isotropic turbulence length scales |
---|
2102 | nux(k) = MAX( INT( length_scale * ddx ), 1 ) * blend |
---|
2103 | nuy(k) = MAX( INT( length_scale * ddy ), 1 ) * blend |
---|
2104 | nvx(k) = MAX( INT( length_scale * ddx ), 1 ) * blend |
---|
2105 | nvy(k) = MAX( INT( length_scale * ddy ), 1 ) * blend |
---|
2106 | nwx(k) = MAX( INT( length_scale * ddx ), 1 ) * blend |
---|
2107 | nwy(k) = MAX( INT( length_scale * ddy ), 1 ) * blend |
---|
2108 | ! |
---|
2109 | !-- Along the vertical direction limit the length scale further by the |
---|
2110 | !-- boundary-layer depth to assure that no length scales larger than |
---|
2111 | !-- the boundary-layer depth are used |
---|
2112 | length_scale_dum = MIN( length_scale, zi_ribulk ) |
---|
2113 | |
---|
2114 | nuz(k) = MAX( INT( length_scale_dum * ddzw(k) ), 1 ) * blend |
---|
2115 | nvz(k) = MAX( INT( length_scale_dum * ddzw(k) ), 1 ) * blend |
---|
2116 | nwz(k) = MAX( INT( length_scale_dum * ddzw(k) ), 1 ) * blend |
---|
2117 | ! |
---|
2118 | !-- Limit time scales, else they become very larger for low wind speed, |
---|
2119 | !-- imposing long-living inflow perturbations which in turn propagate |
---|
2120 | !-- further into the model domain. Use u_init and v_init to calculate |
---|
2121 | !-- the time scales, which will be equal to the inflow profiles, both, |
---|
2122 | !-- in offline nesting mode or in dirichlet/radiation mode. |
---|
2123 | tu(k) = MIN( dt_stg_adjust, length_scale / & |
---|
2124 | ( ABS( u_init(k) ) + 0.1_wp ) ) * blend |
---|
2125 | tv(k) = MIN( dt_stg_adjust, length_scale / & |
---|
2126 | ( ABS( v_init(k) ) + 0.1_wp ) ) * blend |
---|
2127 | ! |
---|
2128 | !-- Time scale of w-component is a mixture from u- and v-component. |
---|
2129 | tw(k) = SQRT( tu(k)**2 + tv(k)**2 ) * blend |
---|
2130 | |
---|
2131 | ENDDO |
---|
2132 | ! |
---|
2133 | !-- Set bottom boundary condition for the length and time scales |
---|
2134 | nux(nzb) = nux(nzb+1) |
---|
2135 | nuy(nzb) = nuy(nzb+1) |
---|
2136 | nuz(nzb) = nuz(nzb+1) |
---|
2137 | nvx(nzb) = nvx(nzb+1) |
---|
2138 | nvy(nzb) = nvy(nzb+1) |
---|
2139 | nvz(nzb) = nvz(nzb+1) |
---|
2140 | nwx(nzb) = nwx(nzb+1) |
---|
2141 | nwy(nzb) = nwy(nzb+1) |
---|
2142 | nwz(nzb) = nwz(nzb+1) |
---|
2143 | |
---|
2144 | tu(nzb) = tu(nzb+1) |
---|
2145 | tv(nzb) = tv(nzb+1) |
---|
2146 | tw(nzb) = tw(nzb+1) |
---|
2147 | |
---|
2148 | |
---|
2149 | END SUBROUTINE calc_length_and_time_scale |
---|
2150 | |
---|
2151 | !------------------------------------------------------------------------------! |
---|
2152 | ! Description: |
---|
2153 | ! ------------ |
---|
2154 | !> Calculate scaling variables which are used for turbulence parametrization |
---|
2155 | !> according to Rotach et al. (1996). Scaling variables are: friction velocity, |
---|
2156 | !> boundary-layer depth, momentum velocity scale, and Obukhov length. |
---|
2157 | !------------------------------------------------------------------------------! |
---|
2158 | SUBROUTINE calc_scaling_variables |
---|
2159 | |
---|
2160 | USE surface_mod, & |
---|
2161 | ONLY: surf_def_h, surf_lsm_h, surf_usm_h |
---|
2162 | |
---|
2163 | IMPLICIT NONE |
---|
2164 | |
---|
2165 | INTEGER(iwp) :: i !< loop index in x-direction |
---|
2166 | INTEGER(iwp) :: j !< loop index in y-direction |
---|
2167 | INTEGER(iwp) :: k !< loop index in z-direction |
---|
2168 | INTEGER(iwp) :: m !< surface element index |
---|
2169 | |
---|
2170 | REAL(wp) :: friction_vel_l !< mean friction veloctiy on subdomain |
---|
2171 | REAL(wp) :: pt_surf_mean !< mean near surface temperature (at 1st grid point) |
---|
2172 | REAL(wp) :: pt_surf_mean_l !< mean near surface temperature (at 1st grid point) on subdomain |
---|
2173 | REAL(wp) :: scale_l_l !< mean Obukhov lenght on subdomain |
---|
2174 | REAL(wp) :: shf_mean !< mean surface sensible heat flux |
---|
2175 | REAL(wp) :: shf_mean_l !< mean surface sensible heat flux on subdomain |
---|
2176 | REAL(wp) :: w_convective !< convective velocity scale |
---|
2177 | |
---|
2178 | ! |
---|
2179 | !-- Calculate mean friction velocity, velocity scale, heat flux and |
---|
2180 | !-- near-surface temperature in the model domain. |
---|
2181 | pt_surf_mean_l = 0.0_wp |
---|
2182 | shf_mean_l = 0.0_wp |
---|
2183 | scale_l_l = 0.0_wp |
---|
2184 | friction_vel_l = 0.0_wp |
---|
2185 | DO m = 1, surf_def_h(0)%ns |
---|
2186 | i = surf_def_h(0)%i(m) |
---|
2187 | j = surf_def_h(0)%j(m) |
---|
2188 | k = surf_def_h(0)%k(m) |
---|
2189 | friction_vel_l = friction_vel_l + surf_def_h(0)%us(m) |
---|
2190 | shf_mean_l = shf_mean_l + surf_def_h(0)%shf(m) * drho_air(k) |
---|
2191 | scale_l_l = scale_l_l + surf_def_h(0)%ol(m) |
---|
2192 | pt_surf_mean_l = pt_surf_mean_l + pt(k,j,i) |
---|
2193 | ENDDO |
---|
2194 | DO m = 1, surf_lsm_h%ns |
---|
2195 | i = surf_lsm_h%i(m) |
---|
2196 | j = surf_lsm_h%j(m) |
---|
2197 | k = surf_lsm_h%k(m) |
---|
2198 | friction_vel_l = friction_vel_l + surf_lsm_h%us(m) |
---|
2199 | shf_mean_l = shf_mean_l + surf_lsm_h%shf(m) * drho_air(k) |
---|
2200 | scale_l_l = scale_l_l + surf_lsm_h%ol(m) |
---|
2201 | pt_surf_mean_l = pt_surf_mean_l + pt(k,j,i) |
---|
2202 | ENDDO |
---|
2203 | DO m = 1, surf_usm_h%ns |
---|
2204 | i = surf_usm_h%i(m) |
---|
2205 | j = surf_usm_h%j(m) |
---|
2206 | k = surf_usm_h%k(m) |
---|
2207 | friction_vel_l = friction_vel_l + surf_usm_h%us(m) |
---|
2208 | shf_mean_l = shf_mean_l + surf_usm_h%shf(m) * drho_air(k) |
---|
2209 | scale_l_l = scale_l_l + surf_usm_h%ol(m) |
---|
2210 | pt_surf_mean_l = pt_surf_mean_l + pt(k,j,i) |
---|
2211 | ENDDO |
---|
2212 | |
---|
2213 | #if defined( __parallel ) |
---|
2214 | CALL MPI_ALLREDUCE( friction_vel_l, scale_us, 1, MPI_REAL, MPI_SUM, & |
---|
2215 | comm2d, ierr ) |
---|
2216 | CALL MPI_ALLREDUCE( shf_mean_l, shf_mean, 1, MPI_REAL, MPI_SUM, & |
---|
2217 | comm2d, ierr ) |
---|
2218 | CALL MPI_ALLREDUCE( scale_l_l, scale_l, 1, MPI_REAL, MPI_SUM, & |
---|
2219 | comm2d, ierr ) |
---|
2220 | CALL MPI_ALLREDUCE( pt_surf_mean_l, pt_surf_mean, 1, MPI_REAL, MPI_SUM, & |
---|
2221 | comm2d, ierr ) |
---|
2222 | #else |
---|
2223 | scale_us = friction_vel_l |
---|
2224 | shf_mean = shf_mean_l |
---|
2225 | scale_l = scale_l_l |
---|
2226 | pt_surf_mean = pt_surf_mean_l |
---|
2227 | #endif |
---|
2228 | |
---|
2229 | scale_us = scale_us / REAL( ( nx + 1 ) * ( ny + 1 ), KIND = wp ) |
---|
2230 | shf_mean = shf_mean / REAL( ( nx + 1 ) * ( ny + 1 ), KIND = wp ) |
---|
2231 | scale_l = scale_l / REAL( ( nx + 1 ) * ( ny + 1 ), KIND = wp ) |
---|
2232 | pt_surf_mean = pt_surf_mean / REAL( ( nx + 1 ) * ( ny + 1 ), KIND = wp ) |
---|
2233 | ! |
---|
2234 | !-- Compute mean convective velocity scale. Note, in case the mean heat flux |
---|
2235 | !-- is negative, set convective velocity scale to zero. |
---|
2236 | IF ( shf_mean > 0.0_wp ) THEN |
---|
2237 | w_convective = ( g * shf_mean * zi_ribulk / pt_surf_mean )**( 1.0_wp / 3.0_wp ) |
---|
2238 | ELSE |
---|
2239 | w_convective = 0.0_wp |
---|
2240 | ENDIF |
---|
2241 | ! |
---|
2242 | !-- Finally, in order to consider also neutral or stable stratification, |
---|
2243 | !-- compute momentum velocity scale from u* and convective velocity scale, |
---|
2244 | !-- according to Rotach et al. (1996). |
---|
2245 | scale_wm = ( scale_us**3 + 0.6_wp * w_convective**3 )**( 1.0_wp / 3.0_wp ) |
---|
2246 | |
---|
2247 | END SUBROUTINE calc_scaling_variables |
---|
2248 | |
---|
2249 | END MODULE synthetic_turbulence_generator_mod |
---|