1 | !> @file pres.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 terms of the GNU General |
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6 | ! Public License as published by the Free Software Foundation, either version 3 of the License, or |
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7 | ! (at your option) any later version. |
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8 | ! |
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9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the |
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10 | ! implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General |
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11 | ! Public License for more details. |
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12 | ! |
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13 | ! You should have received a copy of the GNU General Public License along with PALM. If not, see |
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14 | ! <http://www.gnu.org/licenses/>. |
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15 | ! |
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16 | ! Copyright 1997-2020 Leibniz Universitaet Hannover |
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17 | !--------------------------------------------------------------------------------------------------! |
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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: pres.f90 4651 2020-08-27 07:17:45Z raasch $ |
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27 | ! preprocessor branch for ibm removed |
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28 | ! |
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29 | ! 4649 2020-08-25 12:11:17Z raasch |
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30 | ! File re-formatted to follow the PALM coding standard |
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31 | ! |
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32 | ! |
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33 | ! 4457 2020-03-11 14:20:43Z raasch |
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34 | ! use statement for exchange horiz added |
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35 | ! |
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36 | ! 4360 2020-01-07 11:25:50Z suehring |
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37 | ! Introduction of wall_flags_total_0, which currently sets bits based on static |
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38 | ! topography information used in wall_flags_static_0 |
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39 | ! |
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40 | ! 4329 2019-12-10 15:46:36Z motisi |
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41 | ! Renamed wall_flags_0 to wall_flags_static_0 |
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42 | ! |
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43 | ! 4182 2019-08-22 15:20:23Z scharf |
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44 | ! Corrected "Former revisions" section |
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45 | ! |
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46 | ! 4015 2019-06-05 13:25:35Z raasch |
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47 | ! variable child_domain_nvn eliminated |
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48 | ! |
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49 | ! 3849 2019-04-01 16:35:16Z knoop |
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50 | ! OpenACC port for SPEC |
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51 | ! |
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52 | ! Revision 1.1 1997/07/24 11:24:44 raasch |
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53 | ! Initial revision |
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54 | ! |
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55 | ! |
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56 | !--------------------------------------------------------------------------------------------------! |
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57 | ! Description: |
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58 | ! ------------ |
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59 | !> Compute the divergence of the provisional velocity field. Solve the Poisson equation for the |
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60 | !> perturbation pressure. Compute the final velocities using this perturbation pressure. Compute the |
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61 | !> remaining divergence. |
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62 | !--------------------------------------------------------------------------------------------------! |
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63 | SUBROUTINE pres |
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64 | |
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65 | |
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66 | USE arrays_3d, & |
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67 | ONLY: d, & |
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68 | ddzu, & |
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69 | ddzu_pres, & |
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70 | ddzw, & |
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71 | dzw, & |
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72 | p, & |
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73 | p_loc, & |
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74 | rho_air, & |
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75 | rho_air_zw, & |
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76 | tend, & |
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77 | u, & |
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78 | v, & |
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79 | w |
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80 | |
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81 | USE control_parameters, & |
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82 | ONLY: bc_lr_cyc, & |
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83 | bc_ns_cyc, & |
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84 | bc_radiation_l, & |
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85 | bc_radiation_n, & |
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86 | bc_radiation_r, & |
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87 | bc_radiation_s, & |
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88 | child_domain, & |
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89 | conserve_volume_flow, & |
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90 | coupling_mode, & |
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91 | dt_3d, & |
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92 | gathered_size, & |
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93 | ibc_p_b, & |
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94 | ibc_p_t, & |
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95 | intermediate_timestep_count, & |
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96 | intermediate_timestep_count_max, & |
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97 | mg_switch_to_pe0_level, & |
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98 | nesting_offline, & |
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99 | psolver, & |
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100 | subdomain_size, & |
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101 | topography, & |
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102 | volume_flow, & |
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103 | volume_flow_area, & |
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104 | volume_flow_initial |
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105 | |
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106 | USE cpulog, & |
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107 | ONLY: cpu_log, & |
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108 | log_point, & |
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109 | log_point_s |
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110 | |
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111 | USE exchange_horiz_mod, & |
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112 | ONLY: exchange_horiz |
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113 | |
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114 | USE grid_variables, & |
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115 | ONLY: ddx, & |
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116 | ddy |
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117 | |
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118 | USE indices, & |
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119 | ONLY: nbgp, & |
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120 | ngp_2dh_outer, & |
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121 | nx, & |
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122 | nxl, & |
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123 | nxlg, & |
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124 | nxl_mg, & |
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125 | nxr, & |
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126 | nxrg, & |
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127 | nxr_mg, & |
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128 | ny, & |
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129 | nys, & |
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130 | nysg, & |
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131 | nys_mg, & |
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132 | nyn, & |
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133 | nyng, & |
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134 | nyn_mg, & |
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135 | nzb, & |
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136 | nzt, & |
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137 | nzt_mg, & |
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138 | wall_flags_total_0 |
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139 | |
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140 | USE kinds |
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141 | |
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142 | USE pegrid |
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143 | |
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144 | USE pmc_interface, & |
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145 | ONLY: nesting_mode |
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146 | |
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147 | USE poisfft_mod, & |
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148 | ONLY: poisfft |
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149 | |
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150 | USE poismg_mod |
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151 | |
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152 | USE poismg_noopt_mod |
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153 | |
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154 | USE statistics, & |
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155 | ONLY: statistic_regions, & |
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156 | sums_divnew_l, & |
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157 | sums_divold_l, & |
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158 | weight_pres, & |
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159 | weight_substep |
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160 | |
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161 | USE surface_mod, & |
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162 | ONLY : bc_h |
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163 | |
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164 | IMPLICIT NONE |
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165 | |
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166 | INTEGER(iwp) :: i !< |
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167 | INTEGER(iwp) :: j !< |
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168 | INTEGER(iwp) :: k !< |
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169 | INTEGER(iwp) :: m !< |
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170 | |
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171 | REAL(wp) :: ddt_3d !< |
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172 | REAL(wp) :: d_weight_pres !< |
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173 | REAL(wp) :: localsum !< |
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174 | REAL(wp) :: threadsum !< |
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175 | REAL(wp) :: weight_pres_l !< |
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176 | REAL(wp) :: weight_substep_l !< |
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177 | |
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178 | REAL(wp), DIMENSION(1:3) :: volume_flow_l !< |
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179 | REAL(wp), DIMENSION(1:3) :: volume_flow_offset !< |
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180 | REAL(wp), DIMENSION(1:nzt) :: w_l !< |
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181 | REAL(wp), DIMENSION(1:nzt) :: w_l_l !< |
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182 | |
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183 | |
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184 | CALL cpu_log( log_point(8), 'pres', 'start' ) |
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185 | |
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186 | ! |
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187 | !-- Calculate quantities to be used locally |
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188 | ddt_3d = 1.0_wp / dt_3d |
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189 | IF ( intermediate_timestep_count == 0 ) THEN |
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190 | ! |
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191 | !-- If pres is called before initial time step |
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192 | weight_pres_l = 1.0_wp |
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193 | d_weight_pres = 1.0_wp |
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194 | weight_substep_l = 1.0_wp |
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195 | ELSE |
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196 | weight_pres_l = weight_pres(intermediate_timestep_count) |
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197 | d_weight_pres = 1.0_wp / weight_pres(intermediate_timestep_count) |
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198 | weight_substep_l = weight_substep(intermediate_timestep_count) |
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199 | ENDIF |
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200 | |
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201 | ! |
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202 | !-- Multigrid method expects array d to have one ghost layer. |
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203 | !-- |
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204 | IF ( psolver(1:9) == 'multigrid' ) THEN |
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205 | |
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206 | DEALLOCATE( d ) |
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207 | ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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208 | |
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209 | ! |
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210 | !-- Since p is later used to hold the weighted average of the substeps, it cannot be used in the |
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211 | !-- iterative solver. Therefore, its initial value is stored on p_loc, which is then iteratively |
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212 | !-- advanced in every substep. |
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213 | IF ( intermediate_timestep_count <= 1 ) THEN |
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214 | DO i = nxl-1, nxr+1 |
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215 | DO j = nys-1, nyn+1 |
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216 | DO k = nzb, nzt+1 |
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217 | p_loc(k,j,i) = p(k,j,i) |
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218 | ENDDO |
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219 | ENDDO |
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220 | ENDDO |
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221 | ENDIF |
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222 | |
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223 | ELSEIF ( psolver == 'sor' .AND. intermediate_timestep_count <= 1 ) THEN |
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224 | |
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225 | ! |
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226 | !-- Since p is later used to hold the weighted average of the substeps, it cannot be used in the |
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227 | !-- iterative solver. Therefore, its initial value is stored on p_loc, which is then iteratively |
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228 | !-- advanced in every substep. |
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229 | p_loc = p |
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230 | |
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231 | ENDIF |
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232 | |
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233 | ! |
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234 | !-- Conserve the volume flow at the outflow in case of non-cyclic lateral boundary conditions |
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235 | !-- WARNING: so far, this conservation does not work at the left/south boundary if the topography at |
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236 | !-- the inflow differs from that at the outflow! For this case, volume_flow_area needs |
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237 | !-- adjustment! |
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238 | ! |
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239 | !-- Left/right |
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240 | IF ( conserve_volume_flow .AND. ( bc_radiation_l .OR. bc_radiation_r ) ) THEN |
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241 | |
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242 | volume_flow(1) = 0.0_wp |
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243 | volume_flow_l(1) = 0.0_wp |
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244 | |
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245 | IF ( bc_radiation_l ) THEN |
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246 | i = 0 |
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247 | ELSEIF ( bc_radiation_r ) THEN |
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248 | i = nx+1 |
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249 | ENDIF |
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250 | |
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251 | DO j = nys, nyn |
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252 | ! |
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253 | !-- Sum up the volume flow through the south/north boundary |
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254 | DO k = nzb+1, nzt |
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255 | volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k) & |
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256 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 1 ) ) |
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257 | ENDDO |
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258 | ENDDO |
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259 | |
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260 | #if defined( __parallel ) |
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261 | IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr ) |
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262 | CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, MPI_SUM, comm1dy, ierr ) |
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263 | #else |
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264 | volume_flow = volume_flow_l |
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265 | #endif |
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266 | volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) / volume_flow_area(1) |
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267 | |
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268 | DO j = nysg, nyng |
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269 | DO k = nzb+1, nzt |
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270 | u(k,j,i) = u(k,j,i) + volume_flow_offset(1) & |
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271 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 1 ) ) |
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272 | ENDDO |
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273 | ENDDO |
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274 | |
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275 | ENDIF |
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276 | |
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277 | ! |
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278 | !-- South/north |
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279 | IF ( conserve_volume_flow .AND. ( bc_radiation_n .OR. bc_radiation_s ) ) THEN |
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280 | |
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281 | volume_flow(2) = 0.0_wp |
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282 | volume_flow_l(2) = 0.0_wp |
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283 | |
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284 | IF ( bc_radiation_s ) THEN |
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285 | j = 0 |
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286 | ELSEIF ( bc_radiation_n ) THEN |
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287 | j = ny+1 |
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288 | ENDIF |
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289 | |
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290 | DO i = nxl, nxr |
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291 | ! |
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292 | !-- Sum up the volume flow through the south/north boundary |
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293 | DO k = nzb+1, nzt |
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294 | volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k) & |
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295 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 2 ) ) |
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296 | ENDDO |
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297 | ENDDO |
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298 | |
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299 | #if defined( __parallel ) |
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300 | IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr ) |
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301 | CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, MPI_SUM, comm1dx, ierr ) |
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302 | #else |
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303 | volume_flow = volume_flow_l |
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304 | #endif |
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305 | volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) / volume_flow_area(2) |
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306 | |
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307 | DO i = nxlg, nxrg |
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308 | DO k = nzb+1, nzt |
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309 | v(k,j,i) = v(k,j,i) + volume_flow_offset(2) & |
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310 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 2 ) ) |
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311 | ENDDO |
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312 | ENDDO |
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313 | |
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314 | ENDIF |
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315 | |
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316 | ! |
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317 | !-- Remove mean vertical velocity in case that Neumann conditions are used both at bottom and top |
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318 | !-- boundary. With Neumann conditions at both vertical boundaries, the solver cannot remove mean |
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319 | !-- vertical velocities. They should be removed, because incompressibility requires that the |
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320 | !-- vertical gradient of vertical velocity is zero. Since w=0 at the solid surface, it must be zero |
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321 | !-- everywhere. |
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322 | !-- This must not be done in case of a 3d-nesting child domain, because a mean vertical velocity |
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323 | !-- can physically exist in such a domain. |
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324 | !-- Also in case of offline nesting, mean vertical velocities may exist (and must not be removed), |
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325 | !-- caused by horizontal divergence/convergence of the large scale flow that is prescribed at the |
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326 | !-- side boundaries. |
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327 | !-- The removal cannot be done before the first initial time step because ngp_2dh_outer is not yet |
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328 | !-- known then. |
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329 | IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 .AND. .NOT. nesting_offline & |
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330 | .AND. .NOT. ( child_domain .AND. nesting_mode /= 'vertical' ) & |
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331 | .AND. intermediate_timestep_count /= 0 ) THEN |
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332 | w_l = 0.0_wp; w_l_l = 0.0_wp |
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333 | DO i = nxl, nxr |
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334 | DO j = nys, nyn |
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335 | DO k = nzb+1, nzt |
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336 | w_l_l(k) = w_l_l(k) + w(k,j,i) & |
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337 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 3 ) ) |
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338 | ENDDO |
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339 | ENDDO |
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340 | ENDDO |
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341 | #if defined( __parallel ) |
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342 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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343 | CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, comm2d, ierr ) |
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344 | #else |
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345 | w_l = w_l_l |
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346 | #endif |
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347 | DO k = 1, nzt |
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348 | w_l(k) = w_l(k) / ngp_2dh_outer(k,0) |
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349 | ENDDO |
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350 | DO i = nxlg, nxrg |
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351 | DO j = nysg, nyng |
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352 | DO k = nzb+1, nzt |
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353 | w(k,j,i) = w(k,j,i) - w_l(k) & |
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354 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 3 ) ) |
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355 | ENDDO |
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356 | ENDDO |
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357 | ENDDO |
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358 | ENDIF |
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359 | |
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360 | ! |
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361 | !-- Compute the divergence of the provisional velocity field. |
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362 | CALL cpu_log( log_point_s(1), 'divergence', 'start' ) |
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363 | |
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364 | IF ( psolver(1:9) == 'multigrid' ) THEN |
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365 | !$OMP PARALLEL DO SCHEDULE( STATIC ) PRIVATE (i,j,k) |
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366 | DO i = nxl-1, nxr+1 |
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367 | DO j = nys-1, nyn+1 |
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368 | DO k = nzb, nzt+1 |
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369 | d(k,j,i) = 0.0_wp |
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370 | ENDDO |
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371 | ENDDO |
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372 | ENDDO |
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373 | ELSE |
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374 | !$OMP PARALLEL DO SCHEDULE( STATIC ) PRIVATE (i,j,k) |
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375 | !$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) & |
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376 | !$ACC PRESENT(d) |
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377 | DO i = nxl, nxr |
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378 | DO j = nys, nyn |
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379 | DO k = nzb+1, nzt |
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380 | d(k,j,i) = 0.0_wp |
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381 | ENDDO |
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382 | ENDDO |
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383 | ENDDO |
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384 | ENDIF |
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385 | |
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386 | localsum = 0.0_wp |
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387 | threadsum = 0.0_wp |
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388 | |
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389 | !$OMP PARALLEL PRIVATE (i,j,k) |
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390 | !$OMP DO SCHEDULE( STATIC ) |
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391 | !$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) & |
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392 | !$ACC PRESENT(u, v, w, rho_air, rho_air_zw, ddzw, wall_flags_total_0) & |
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393 | !$ACC PRESENT(d) |
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394 | DO i = nxl, nxr |
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395 | DO j = nys, nyn |
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396 | DO k = 1, nzt |
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397 | d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * rho_air(k) * ddx + & |
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398 | ( v(k,j+1,i) - v(k,j,i) ) * rho_air(k) * ddy + & |
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399 | ( w(k,j,i) * rho_air_zw(k) - w(k-1,j,i) * rho_air_zw(k-1) ) & |
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400 | * ddzw(k) ) * ddt_3d * d_weight_pres & |
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401 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) ) |
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402 | ENDDO |
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403 | ENDDO |
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404 | ENDDO |
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405 | !$OMP END PARALLEL |
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406 | |
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407 | ! |
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408 | !-- Compute possible PE-sum of divergences for flow_statistics. Carry out computation only at last |
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409 | !-- Runge-Kutta substep. |
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410 | IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. & |
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411 | intermediate_timestep_count == 0 ) THEN |
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412 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
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413 | !$OMP DO SCHEDULE( STATIC ) |
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414 | !$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i,j,k) & |
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415 | !$ACC REDUCTION(+:threadsum) COPY(threadsum) & |
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416 | !$ACC PRESENT(d) |
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417 | DO i = nxl, nxr |
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418 | DO j = nys, nyn |
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419 | DO k = nzb+1, nzt |
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420 | threadsum = threadsum + ABS( d(k,j,i) ) |
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421 | ENDDO |
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422 | ENDDO |
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423 | ENDDO |
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424 | localsum = localsum + threadsum * dt_3d * weight_pres_l |
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425 | !$OMP END PARALLEL |
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426 | ENDIF |
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427 | |
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428 | ! |
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429 | !-- For completeness, set the divergence sum of all statistic regions to those of the total domain |
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430 | IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. & |
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431 | intermediate_timestep_count == 0 ) THEN |
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432 | sums_divold_l(0:statistic_regions) = localsum |
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433 | ENDIF |
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434 | |
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435 | CALL cpu_log( log_point_s(1), 'divergence', 'stop' ) |
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436 | |
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437 | ! |
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438 | !-- Compute the pressure perturbation solving the Poisson equation |
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439 | IF ( psolver == 'poisfft' ) THEN |
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440 | |
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441 | ! |
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442 | !-- Solve Poisson equation via FFT and solution of tridiagonal matrices |
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443 | CALL poisfft( d ) |
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444 | |
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445 | ! |
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446 | !-- Store computed perturbation pressure and set boundary condition in z-direction |
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447 | !$OMP PARALLEL DO PRIVATE (i,j,k) |
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448 | !$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) & |
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449 | !$ACC PRESENT(d, tend) |
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450 | DO i = nxl, nxr |
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451 | DO j = nys, nyn |
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452 | DO k = nzb+1, nzt |
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453 | tend(k,j,i) = d(k,j,i) |
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454 | ENDDO |
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455 | ENDDO |
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456 | ENDDO |
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457 | |
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458 | ! |
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459 | !-- Bottom boundary: |
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460 | !-- This condition is only required for internal output. The pressure gradient |
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461 | !-- (dp(nzb+1)-dp(nzb))/dz is not used anywhere else. |
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462 | IF ( ibc_p_b == 1 ) THEN |
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463 | ! |
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464 | !-- Neumann (dp/dz = 0). Using surface data type, first for non-natural surfaces, then for |
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465 | !-- natural and urban surfaces |
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466 | !-- Upward facing |
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467 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
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468 | !$ACC PARALLEL LOOP PRIVATE(i, j, k) & |
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469 | !$ACC PRESENT(bc_h, tend) |
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470 | DO m = 1, bc_h(0)%ns |
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471 | i = bc_h(0)%i(m) |
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472 | j = bc_h(0)%j(m) |
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473 | k = bc_h(0)%k(m) |
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474 | tend(k-1,j,i) = tend(k,j,i) |
---|
475 | ENDDO |
---|
476 | ! |
---|
477 | !-- Downward facing |
---|
478 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
479 | !$ACC PARALLEL LOOP PRIVATE(i, j, k) & |
---|
480 | !$ACC PRESENT(bc_h, tend) |
---|
481 | DO m = 1, bc_h(1)%ns |
---|
482 | i = bc_h(1)%i(m) |
---|
483 | j = bc_h(1)%j(m) |
---|
484 | k = bc_h(1)%k(m) |
---|
485 | tend(k+1,j,i) = tend(k,j,i) |
---|
486 | ENDDO |
---|
487 | |
---|
488 | ELSE |
---|
489 | ! |
---|
490 | !-- Dirichlet. Using surface data type, first for non-natural surfaces, then for natural and |
---|
491 | !-- urban surfaces |
---|
492 | !-- Upward facing |
---|
493 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
494 | DO m = 1, bc_h(0)%ns |
---|
495 | i = bc_h(0)%i(m) |
---|
496 | j = bc_h(0)%j(m) |
---|
497 | k = bc_h(0)%k(m) |
---|
498 | tend(k-1,j,i) = 0.0_wp |
---|
499 | ENDDO |
---|
500 | ! |
---|
501 | !-- Downward facing |
---|
502 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
503 | DO m = 1, bc_h(1)%ns |
---|
504 | i = bc_h(1)%i(m) |
---|
505 | j = bc_h(1)%j(m) |
---|
506 | k = bc_h(1)%k(m) |
---|
507 | tend(k+1,j,i) = 0.0_wp |
---|
508 | ENDDO |
---|
509 | |
---|
510 | ENDIF |
---|
511 | |
---|
512 | ! |
---|
513 | !-- Top boundary |
---|
514 | IF ( ibc_p_t == 1 ) THEN |
---|
515 | ! |
---|
516 | !-- Neumann |
---|
517 | !$OMP PARALLEL DO PRIVATE (i,j,k) |
---|
518 | DO i = nxlg, nxrg |
---|
519 | DO j = nysg, nyng |
---|
520 | tend(nzt+1,j,i) = tend(nzt,j,i) |
---|
521 | ENDDO |
---|
522 | ENDDO |
---|
523 | |
---|
524 | ELSE |
---|
525 | ! |
---|
526 | !-- Dirichlet |
---|
527 | !$OMP PARALLEL DO PRIVATE (i,j,k) |
---|
528 | !$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j) & |
---|
529 | !$ACC PRESENT(tend) |
---|
530 | DO i = nxlg, nxrg |
---|
531 | DO j = nysg, nyng |
---|
532 | tend(nzt+1,j,i) = 0.0_wp |
---|
533 | ENDDO |
---|
534 | ENDDO |
---|
535 | |
---|
536 | ENDIF |
---|
537 | |
---|
538 | ! |
---|
539 | !-- Exchange boundaries for p |
---|
540 | CALL exchange_horiz( tend, nbgp ) |
---|
541 | |
---|
542 | ELSEIF ( psolver == 'sor' ) THEN |
---|
543 | |
---|
544 | ! |
---|
545 | !-- Solve Poisson equation for perturbation pressure using SOR-Red/Black scheme |
---|
546 | CALL sor( d, ddzu_pres, ddzw, p_loc ) |
---|
547 | tend = p_loc |
---|
548 | |
---|
549 | ELSEIF ( psolver(1:9) == 'multigrid' ) THEN |
---|
550 | |
---|
551 | ! |
---|
552 | !-- Solve Poisson equation for perturbation pressure using Multigrid scheme, array tend is used |
---|
553 | !-- to store the residuals. |
---|
554 | |
---|
555 | !-- If the number of grid points of the gathered grid, which is collected on PE0, is larger than |
---|
556 | !-- the number of grid points of an PE, than array tend will be enlarged. |
---|
557 | IF ( gathered_size > subdomain_size ) THEN |
---|
558 | DEALLOCATE( tend ) |
---|
559 | ALLOCATE( tend(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( & |
---|
560 | mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1, & |
---|
561 | nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg(mg_switch_to_pe0_level)+1) ) |
---|
562 | ENDIF |
---|
563 | |
---|
564 | IF ( psolver == 'multigrid' ) THEN |
---|
565 | CALL poismg( tend ) |
---|
566 | ELSE |
---|
567 | CALL poismg_noopt( tend ) |
---|
568 | ENDIF |
---|
569 | |
---|
570 | IF ( gathered_size > subdomain_size ) THEN |
---|
571 | DEALLOCATE( tend ) |
---|
572 | ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
573 | ENDIF |
---|
574 | |
---|
575 | ! |
---|
576 | !-- Restore perturbation pressure on tend because this array is used further below to correct the |
---|
577 | !-- velocity fields |
---|
578 | DO i = nxl-1, nxr+1 |
---|
579 | DO j = nys-1, nyn+1 |
---|
580 | DO k = nzb, nzt+1 |
---|
581 | tend(k,j,i) = p_loc(k,j,i) |
---|
582 | ENDDO |
---|
583 | ENDDO |
---|
584 | ENDDO |
---|
585 | |
---|
586 | ENDIF |
---|
587 | |
---|
588 | ! |
---|
589 | !-- Store perturbation pressure on array p, used for pressure data output. |
---|
590 | !-- Ghost layers are added in the output routines (except sor-method: see below) |
---|
591 | IF ( intermediate_timestep_count <= 1 ) THEN |
---|
592 | !$OMP PARALLEL PRIVATE (i,j,k) |
---|
593 | !$OMP DO |
---|
594 | !$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) & |
---|
595 | !$ACC PRESENT(p, tend) |
---|
596 | DO i = nxl-1, nxr+1 |
---|
597 | DO j = nys-1, nyn+1 |
---|
598 | DO k = nzb, nzt+1 |
---|
599 | p(k,j,i) = tend(k,j,i) * weight_substep_l |
---|
600 | ENDDO |
---|
601 | ENDDO |
---|
602 | ENDDO |
---|
603 | !$OMP END PARALLEL |
---|
604 | |
---|
605 | ELSEIF ( intermediate_timestep_count > 1 ) THEN |
---|
606 | !$OMP PARALLEL PRIVATE (i,j,k) |
---|
607 | !$OMP DO |
---|
608 | !$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) & |
---|
609 | !$ACC PRESENT(p, tend) |
---|
610 | DO i = nxl-1, nxr+1 |
---|
611 | DO j = nys-1, nyn+1 |
---|
612 | DO k = nzb, nzt+1 |
---|
613 | p(k,j,i) = p(k,j,i) + tend(k,j,i) * weight_substep_l |
---|
614 | ENDDO |
---|
615 | ENDDO |
---|
616 | ENDDO |
---|
617 | !$OMP END PARALLEL |
---|
618 | |
---|
619 | ENDIF |
---|
620 | |
---|
621 | ! |
---|
622 | !-- SOR-method needs ghost layers for the next timestep |
---|
623 | IF ( psolver == 'sor' ) CALL exchange_horiz( p, nbgp ) |
---|
624 | |
---|
625 | ! |
---|
626 | !-- Correction of the provisional velocities with the current perturbation pressure just computed |
---|
627 | IF ( conserve_volume_flow .AND. ( bc_lr_cyc .OR. bc_ns_cyc ) ) THEN |
---|
628 | volume_flow_l(1) = 0.0_wp |
---|
629 | volume_flow_l(2) = 0.0_wp |
---|
630 | ENDIF |
---|
631 | ! |
---|
632 | !-- Add pressure gradients to the velocity components. Note, the loops are running over the entire |
---|
633 | !-- model domain, even though, in case of non-cyclic boundaries u- and v-component are not |
---|
634 | !-- prognostic at i=0 and j=0, respectiveley. However, in case of Dirichlet boundary conditions for |
---|
635 | !-- the velocities, zero-gradient conditions for the pressure are set, so that no modification is |
---|
636 | !-- imposed at the boundaries. |
---|
637 | !$OMP PARALLEL PRIVATE (i,j,k) |
---|
638 | !$OMP DO |
---|
639 | !$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k) & |
---|
640 | !$ACC PRESENT(u, v, w, tend, ddzu, wall_flags_total_0) |
---|
641 | DO i = nxl, nxr |
---|
642 | DO j = nys, nyn |
---|
643 | |
---|
644 | DO k = nzb+1, nzt |
---|
645 | w(k,j,i) = w(k,j,i) - dt_3d * ( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) & |
---|
646 | * weight_pres_l & |
---|
647 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 3 ) ) |
---|
648 | ENDDO |
---|
649 | |
---|
650 | DO k = nzb+1, nzt |
---|
651 | u(k,j,i) = u(k,j,i) - dt_3d * ( tend(k,j,i) - tend(k,j,i-1) ) * ddx * weight_pres_l & |
---|
652 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 1 ) ) |
---|
653 | ENDDO |
---|
654 | |
---|
655 | DO k = nzb+1, nzt |
---|
656 | v(k,j,i) = v(k,j,i) - dt_3d * ( tend(k,j,i) - tend(k,j-1,i) ) * ddy * weight_pres_l & |
---|
657 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 2 ) ) |
---|
658 | ENDDO |
---|
659 | |
---|
660 | ENDDO |
---|
661 | ENDDO |
---|
662 | !$OMP END PARALLEL |
---|
663 | |
---|
664 | ! |
---|
665 | !-- The vertical velocity is not set to zero at nzt + 1 for nested domains. Instead it is set to the |
---|
666 | !-- values of nzt (see routine vnest_boundary_conds or pmci_interp_tril_t) BEFORE calling the |
---|
667 | !-- pressure solver. To avoid jumps while plotting profiles, w at the top has to be set to the |
---|
668 | !-- values in height nzt after above modifications. Hint: w level nzt+1 does not impact results. |
---|
669 | IF ( child_domain .OR. coupling_mode == 'vnested_fine' ) THEN |
---|
670 | w(nzt+1,:,:) = w(nzt,:,:) |
---|
671 | ENDIF |
---|
672 | |
---|
673 | ! |
---|
674 | !-- Sum up the volume flow through the right and north boundary |
---|
675 | IF ( conserve_volume_flow .AND. bc_lr_cyc .AND. bc_ns_cyc .AND. nxr == nx ) THEN |
---|
676 | |
---|
677 | !$OMP PARALLEL PRIVATE (j,k) |
---|
678 | !$OMP DO |
---|
679 | DO j = nys, nyn |
---|
680 | !$OMP CRITICAL |
---|
681 | DO k = nzb+1, nzt |
---|
682 | volume_flow_l(1) = volume_flow_l(1) + u(k,j,nxr) * dzw(k) & |
---|
683 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,nxr), 1 ) ) |
---|
684 | ENDDO |
---|
685 | !$OMP END CRITICAL |
---|
686 | ENDDO |
---|
687 | !$OMP END PARALLEL |
---|
688 | |
---|
689 | ENDIF |
---|
690 | |
---|
691 | IF ( conserve_volume_flow .AND. bc_ns_cyc .AND. bc_lr_cyc .AND. nyn == ny ) THEN |
---|
692 | |
---|
693 | !$OMP PARALLEL PRIVATE (i,k) |
---|
694 | !$OMP DO |
---|
695 | DO i = nxl, nxr |
---|
696 | !$OMP CRITICAL |
---|
697 | DO k = nzb+1, nzt |
---|
698 | volume_flow_l(2) = volume_flow_l(2) + v(k,nyn,i) * dzw(k) & |
---|
699 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,nyn,i), 2 ) ) |
---|
700 | ENDDO |
---|
701 | !$OMP END CRITICAL |
---|
702 | ENDDO |
---|
703 | !$OMP END PARALLEL |
---|
704 | |
---|
705 | ENDIF |
---|
706 | |
---|
707 | ! |
---|
708 | !-- Conserve the volume flow |
---|
709 | IF ( conserve_volume_flow .AND. ( bc_lr_cyc .AND. bc_ns_cyc ) ) THEN |
---|
710 | |
---|
711 | #if defined( __parallel ) |
---|
712 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
---|
713 | CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, MPI_SUM, comm2d, ierr ) |
---|
714 | #else |
---|
715 | volume_flow = volume_flow_l |
---|
716 | #endif |
---|
717 | |
---|
718 | volume_flow_offset(1:2) = ( volume_flow_initial(1:2) - volume_flow(1:2) ) & |
---|
719 | / volume_flow_area(1:2) |
---|
720 | |
---|
721 | !$OMP PARALLEL PRIVATE (i,j,k) |
---|
722 | !$OMP DO |
---|
723 | DO i = nxl, nxr |
---|
724 | DO j = nys, nyn |
---|
725 | DO k = nzb+1, nzt |
---|
726 | u(k,j,i) = u(k,j,i) + volume_flow_offset(1) & |
---|
727 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 1 ) ) |
---|
728 | ENDDO |
---|
729 | DO k = nzb+1, nzt |
---|
730 | v(k,j,i) = v(k,j,i) + volume_flow_offset(2) & |
---|
731 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 2 ) ) |
---|
732 | ENDDO |
---|
733 | ENDDO |
---|
734 | ENDDO |
---|
735 | |
---|
736 | !$OMP END PARALLEL |
---|
737 | |
---|
738 | ENDIF |
---|
739 | |
---|
740 | ! |
---|
741 | !-- Exchange of boundaries for the velocities |
---|
742 | CALL exchange_horiz( u, nbgp ) |
---|
743 | CALL exchange_horiz( v, nbgp ) |
---|
744 | CALL exchange_horiz( w, nbgp ) |
---|
745 | |
---|
746 | ! |
---|
747 | !-- Compute the divergence of the corrected velocity field. |
---|
748 | !-- A possible PE-sum is computed in flow_statistics. Carry out computation only at last |
---|
749 | !-- Runge-Kutta step. |
---|
750 | IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. & |
---|
751 | intermediate_timestep_count == 0 ) THEN |
---|
752 | CALL cpu_log( log_point_s(1), 'divergence', 'start' ) |
---|
753 | sums_divnew_l = 0.0_wp |
---|
754 | |
---|
755 | ! |
---|
756 | !-- d must be reset to zero because it can contain nonzero values below the topography |
---|
757 | IF ( topography /= 'flat' ) d = 0.0_wp |
---|
758 | |
---|
759 | localsum = 0.0_wp |
---|
760 | threadsum = 0.0_wp |
---|
761 | |
---|
762 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
---|
763 | !$OMP DO SCHEDULE( STATIC ) |
---|
764 | !$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) & |
---|
765 | !$ACC PRESENT(u, v, w, rho_air, rho_air_zw, ddzw, wall_flags_total_0) & |
---|
766 | !$ACC PRESENT(d) |
---|
767 | DO i = nxl, nxr |
---|
768 | DO j = nys, nyn |
---|
769 | DO k = nzb+1, nzt |
---|
770 | d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * rho_air(k) * ddx + & |
---|
771 | ( v(k,j+1,i) - v(k,j,i) ) * rho_air(k) * ddy + & |
---|
772 | ( w(k,j,i) * rho_air_zw(k) - w(k-1,j,i) * rho_air_zw(k-1) ) & |
---|
773 | * ddzw(k) ) & |
---|
774 | * MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) ) |
---|
775 | ENDDO |
---|
776 | ENDDO |
---|
777 | ENDDO |
---|
778 | ! |
---|
779 | !-- Compute possible PE-sum of divergences for flow_statistics |
---|
780 | !$OMP DO SCHEDULE( STATIC ) |
---|
781 | !$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) & |
---|
782 | !$ACC REDUCTION(+:threadsum) COPY(threadsum) & |
---|
783 | !$ACC PRESENT(d) |
---|
784 | DO i = nxl, nxr |
---|
785 | DO j = nys, nyn |
---|
786 | DO k = nzb+1, nzt |
---|
787 | threadsum = threadsum + ABS( d(k,j,i) ) |
---|
788 | ENDDO |
---|
789 | ENDDO |
---|
790 | ENDDO |
---|
791 | |
---|
792 | localsum = localsum + threadsum |
---|
793 | !$OMP END PARALLEL |
---|
794 | |
---|
795 | ! |
---|
796 | !-- For completeness, set the divergence sum of all statistic regions to those of the total |
---|
797 | !-- domain |
---|
798 | sums_divnew_l(0:statistic_regions) = localsum |
---|
799 | |
---|
800 | CALL cpu_log( log_point_s(1), 'divergence', 'stop' ) |
---|
801 | |
---|
802 | ENDIF |
---|
803 | |
---|
804 | CALL cpu_log( log_point(8), 'pres', 'stop' ) |
---|
805 | |
---|
806 | END SUBROUTINE pres |
---|