1 | !> @file lpm_advec.f90 |
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2 | !--------------------------------------------------------------------------------! |
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3 | ! This file is part of PALM. |
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4 | ! |
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5 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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6 | ! of the GNU General Public License as published by the Free Software Foundation, |
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7 | ! either version 3 of the License, or (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 |
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10 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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11 | ! A PARTICULAR PURPOSE. See the GNU General 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 |
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14 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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15 | ! |
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16 | ! Copyright 1997-2016 Leibniz Universitaet Hannover |
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17 | !--------------------------------------------------------------------------------! |
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18 | ! |
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19 | ! Current revisions: |
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20 | ! ------------------ |
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21 | ! |
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22 | ! |
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23 | ! Former revisions: |
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24 | ! ----------------- |
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25 | ! $Id: lpm_advec.f90 1818 2016-04-06 15:53:27Z maronga $ |
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26 | ! |
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27 | ! 1691 2015-10-26 16:17:44Z maronga |
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28 | ! Renamed prandtl_layer to constant_flux_layer. |
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29 | ! |
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30 | ! 1685 2015-10-08 07:32:13Z raasch |
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31 | ! TKE check for negative values (so far, only zero value was checked) |
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32 | ! offset_ocean_nzt_m1 removed |
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33 | ! |
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34 | ! 1682 2015-10-07 23:56:08Z knoop |
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35 | ! Code annotations made doxygen readable |
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36 | ! |
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37 | ! 1583 2015-04-15 12:16:27Z suehring |
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38 | ! Bugfix: particle advection within Prandtl-layer in case of Galilei |
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39 | ! transformation. |
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40 | ! |
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41 | ! 1369 2014-04-24 05:57:38Z raasch |
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42 | ! usage of module interfaces removed |
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43 | ! |
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44 | ! 1359 2014-04-11 17:15:14Z hoffmann |
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45 | ! New particle structure integrated. |
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46 | ! Kind definition added to all floating point numbers. |
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47 | ! |
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48 | ! 1322 2014-03-20 16:38:49Z raasch |
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49 | ! REAL constants defined as wp_kind |
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50 | ! |
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51 | ! 1320 2014-03-20 08:40:49Z raasch |
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52 | ! ONLY-attribute added to USE-statements, |
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53 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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54 | ! kinds are defined in new module kinds, |
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55 | ! revision history before 2012 removed, |
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56 | ! comment fields (!:) to be used for variable explanations added to |
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57 | ! all variable declaration statements |
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58 | ! |
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59 | ! 1314 2014-03-14 18:25:17Z suehring |
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60 | ! Vertical logarithmic interpolation of horizontal particle speed for particles |
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61 | ! between roughness height and first vertical grid level. |
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62 | ! |
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63 | ! 1036 2012-10-22 13:43:42Z raasch |
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64 | ! code put under GPL (PALM 3.9) |
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65 | ! |
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66 | ! 849 2012-03-15 10:35:09Z raasch |
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67 | ! initial revision (former part of advec_particles) |
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68 | ! |
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69 | ! |
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70 | ! Description: |
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71 | ! ------------ |
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72 | !> Calculation of new particle positions due to advection using a simple Euler |
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73 | !> scheme. Particles may feel inertia effects. SGS transport can be included |
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74 | !> using the stochastic model of Weil et al. (2004, JAS, 61, 2877-2887). |
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75 | !------------------------------------------------------------------------------! |
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76 | SUBROUTINE lpm_advec (ip,jp,kp) |
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77 | |
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78 | |
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79 | USE arrays_3d, & |
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80 | ONLY: de_dx, de_dy, de_dz, diss, e, u, us, usws, v, vsws, w, z0, zu, & |
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81 | zw |
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82 | |
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83 | USE cpulog |
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84 | |
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85 | USE pegrid |
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86 | |
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87 | USE control_parameters, & |
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88 | ONLY: atmos_ocean_sign, cloud_droplets, constant_flux_layer, dt_3d, & |
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89 | dt_3d_reached_l, dz, g, kappa, molecular_viscosity, topography, & |
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90 | u_gtrans, v_gtrans, simulated_time |
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91 | |
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92 | USE grid_variables, & |
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93 | ONLY: ddx, dx, ddy, dy |
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94 | |
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95 | USE indices, & |
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96 | ONLY: nzb, nzb_s_inner, nzt |
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97 | |
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98 | USE kinds |
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99 | |
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100 | USE particle_attributes, & |
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101 | ONLY: block_offset, c_0, density_ratio, dt_min_part, grid_particles, & |
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102 | iran_part, log_z_z0, number_of_particles, number_of_sublayers, & |
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103 | particles, particle_groups, offset_ocean_nzt, sgs_wfu_part, & |
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104 | sgs_wfv_part, sgs_wfw_part, use_sgs_for_particles, & |
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105 | vertical_particle_advection, z0_av_global |
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106 | |
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107 | USE statistics, & |
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108 | ONLY: hom |
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109 | |
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110 | IMPLICIT NONE |
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111 | |
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112 | INTEGER(iwp) :: agp !< |
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113 | INTEGER(iwp) :: gp_outside_of_building(1:8) !< |
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114 | INTEGER(iwp) :: i !< |
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115 | INTEGER(iwp) :: ip !< |
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116 | INTEGER(iwp) :: j !< |
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117 | INTEGER(iwp) :: jp !< |
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118 | INTEGER(iwp) :: k !< |
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119 | INTEGER(iwp) :: kp !< |
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120 | INTEGER(iwp) :: kw !< |
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121 | INTEGER(iwp) :: n !< |
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122 | INTEGER(iwp) :: nb !< |
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123 | INTEGER(iwp) :: num_gp !< |
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124 | |
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125 | INTEGER(iwp), DIMENSION(0:7) :: start_index !< |
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126 | INTEGER(iwp), DIMENSION(0:7) :: end_index !< |
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127 | |
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128 | REAL(wp) :: aa !< |
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129 | REAL(wp) :: bb !< |
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130 | REAL(wp) :: cc !< |
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131 | REAL(wp) :: d_sum !< |
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132 | REAL(wp) :: d_z_p_z0 !< |
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133 | REAL(wp) :: dd !< |
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134 | REAL(wp) :: de_dx_int_l !< |
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135 | REAL(wp) :: de_dx_int_u !< |
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136 | REAL(wp) :: de_dy_int_l !< |
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137 | REAL(wp) :: de_dy_int_u !< |
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138 | REAL(wp) :: de_dt !< |
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139 | REAL(wp) :: de_dt_min !< |
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140 | REAL(wp) :: de_dz_int_l !< |
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141 | REAL(wp) :: de_dz_int_u !< |
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142 | REAL(wp) :: diss_int_l !< |
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143 | REAL(wp) :: diss_int_u !< |
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144 | REAL(wp) :: dt_gap !< |
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145 | REAL(wp) :: dt_particle_m !< |
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146 | REAL(wp) :: e_int_l !< |
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147 | REAL(wp) :: e_int_u !< |
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148 | REAL(wp) :: e_mean_int !< |
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149 | REAL(wp) :: exp_arg !< |
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150 | REAL(wp) :: exp_term !< |
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151 | REAL(wp) :: gg !< |
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152 | REAL(wp) :: height_int !< |
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153 | REAL(wp) :: height_p !< |
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154 | REAL(wp) :: lagr_timescale !< |
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155 | REAL(wp) :: location(1:30,1:3) !< |
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156 | REAL(wp) :: random_gauss !< |
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157 | REAL(wp) :: u_int_l !< |
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158 | REAL(wp) :: u_int_u !< |
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159 | REAL(wp) :: us_int !< |
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160 | REAL(wp) :: v_int_l !< |
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161 | REAL(wp) :: v_int_u !< |
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162 | REAL(wp) :: vv_int !< |
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163 | REAL(wp) :: w_int_l !< |
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164 | REAL(wp) :: w_int_u !< |
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165 | REAL(wp) :: x !< |
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166 | REAL(wp) :: y !< |
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167 | REAL(wp) :: z_p !< |
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168 | |
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169 | REAL(wp), DIMENSION(1:30) :: d_gp_pl !< |
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170 | REAL(wp), DIMENSION(1:30) :: de_dxi !< |
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171 | REAL(wp), DIMENSION(1:30) :: de_dyi !< |
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172 | REAL(wp), DIMENSION(1:30) :: de_dzi !< |
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173 | REAL(wp), DIMENSION(1:30) :: dissi !< |
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174 | REAL(wp), DIMENSION(1:30) :: ei !< |
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175 | |
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176 | REAL(wp), DIMENSION(number_of_particles) :: dens_ratio !< |
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177 | REAL(wp), DIMENSION(number_of_particles) :: de_dx_int !< |
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178 | REAL(wp), DIMENSION(number_of_particles) :: de_dy_int !< |
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179 | REAL(wp), DIMENSION(number_of_particles) :: de_dz_int !< |
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180 | REAL(wp), DIMENSION(number_of_particles) :: diss_int !< |
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181 | REAL(wp), DIMENSION(number_of_particles) :: dt_particle !< |
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182 | REAL(wp), DIMENSION(number_of_particles) :: e_int !< |
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183 | REAL(wp), DIMENSION(number_of_particles) :: fs_int !< |
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184 | REAL(wp), DIMENSION(number_of_particles) :: log_z_z0_int !< |
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185 | REAL(wp), DIMENSION(number_of_particles) :: u_int !< |
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186 | REAL(wp), DIMENSION(number_of_particles) :: v_int !< |
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187 | REAL(wp), DIMENSION(number_of_particles) :: w_int !< |
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188 | REAL(wp), DIMENSION(number_of_particles) :: xv !< |
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189 | REAL(wp), DIMENSION(number_of_particles) :: yv !< |
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190 | REAL(wp), DIMENSION(number_of_particles) :: zv !< |
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191 | |
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192 | REAL(wp), DIMENSION(number_of_particles, 3) :: rg !< |
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193 | |
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194 | CALL cpu_log( log_point_s(44), 'lpm_advec', 'continue' ) |
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195 | |
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196 | ! |
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197 | !-- Determine height of Prandtl layer and distance between Prandtl-layer |
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198 | !-- height and horizontal mean roughness height, which are required for |
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199 | !-- vertical logarithmic interpolation of horizontal particle speeds |
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200 | !-- (for particles below first vertical grid level). |
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201 | z_p = zu(nzb+1) - zw(nzb) |
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202 | d_z_p_z0 = 1.0_wp / ( z_p - z0_av_global ) |
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203 | |
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204 | start_index = grid_particles(kp,jp,ip)%start_index |
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205 | end_index = grid_particles(kp,jp,ip)%end_index |
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206 | |
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207 | xv = particles(1:number_of_particles)%x |
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208 | yv = particles(1:number_of_particles)%y |
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209 | zv = particles(1:number_of_particles)%z |
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210 | |
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211 | DO nb = 0, 7 |
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212 | |
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213 | i = ip |
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214 | j = jp + block_offset(nb)%j_off |
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215 | k = kp + block_offset(nb)%k_off |
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216 | |
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217 | ! |
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218 | !-- Interpolate u velocity-component |
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219 | DO n = start_index(nb), end_index(nb) |
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220 | ! |
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221 | !-- Interpolation of the u velocity component onto particle position. |
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222 | !-- Particles are interpolation bi-linearly in the horizontal and a |
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223 | !-- linearly in the vertical. An exception is made for particles below |
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224 | !-- the first vertical grid level in case of a prandtl layer. In this |
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225 | !-- case the horizontal particle velocity components are determined using |
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226 | !-- Monin-Obukhov relations (if branch). |
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227 | !-- First, check if particle is located below first vertical grid level |
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228 | !-- (Prandtl-layer height) |
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229 | IF ( constant_flux_layer .AND. particles(n)%z < z_p ) THEN |
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230 | ! |
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231 | !-- Resolved-scale horizontal particle velocity is zero below z0. |
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232 | IF ( particles(n)%z < z0_av_global ) THEN |
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233 | u_int(n) = 0.0_wp |
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234 | ELSE |
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235 | ! |
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236 | !-- Determine the sublayer. Further used as index. |
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237 | height_p = ( particles(n)%z - z0_av_global ) & |
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238 | * REAL( number_of_sublayers, KIND=wp ) & |
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239 | * d_z_p_z0 |
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240 | ! |
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241 | !-- Calculate LOG(z/z0) for exact particle height. Therefore, |
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242 | !-- interpolate linearly between precalculated logarithm. |
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243 | log_z_z0_int(n) = log_z_z0(INT(height_p)) & |
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244 | + ( height_p - INT(height_p) ) & |
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245 | * ( log_z_z0(INT(height_p)+1) & |
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246 | - log_z_z0(INT(height_p)) & |
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247 | ) |
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248 | ! |
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249 | !-- Neutral solution is applied for all situations, e.g. also for |
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250 | !-- unstable and stable situations. Even though this is not exact |
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251 | !-- this saves a lot of CPU time since several calls of intrinsic |
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252 | !-- FORTRAN procedures (LOG, ATAN) are avoided, This is justified |
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253 | !-- as sensitivity studies revealed no significant effect of |
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254 | !-- using the neutral solution also for un/stable situations. |
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255 | !-- Calculated left and bottom index on u grid. |
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256 | us_int = 0.5_wp * ( us(j,i) + us(j,i-1) ) |
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257 | |
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258 | u_int = -usws(j,i) / ( us_int * kappa + 1E-10_wp ) & |
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259 | * log_z_z0_int(n) - u_gtrans |
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260 | |
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261 | ENDIF |
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262 | ! |
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263 | !-- Particle above the first grid level. Bi-linear interpolation in the |
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264 | !-- horizontal and linear interpolation in the vertical direction. |
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265 | ELSE |
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266 | |
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267 | x = xv(n) + ( 0.5_wp - i ) * dx |
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268 | y = yv(n) - j * dy |
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269 | aa = x**2 + y**2 |
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270 | bb = ( dx - x )**2 + y**2 |
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271 | cc = x**2 + ( dy - y )**2 |
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272 | dd = ( dx - x )**2 + ( dy - y )**2 |
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273 | gg = aa + bb + cc + dd |
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274 | |
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275 | u_int_l = ( ( gg - aa ) * u(k,j,i) + ( gg - bb ) * u(k,j,i+1) & |
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276 | + ( gg - cc ) * u(k,j+1,i) + ( gg - dd ) * & |
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277 | u(k,j+1,i+1) ) / ( 3.0_wp * gg ) - u_gtrans |
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278 | |
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279 | IF ( k == nzt ) THEN |
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280 | u_int(n) = u_int_l |
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281 | ELSE |
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282 | u_int_u = ( ( gg-aa ) * u(k+1,j,i) + ( gg-bb ) * u(k+1,j,i+1) & |
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283 | + ( gg-cc ) * u(k+1,j+1,i) + ( gg-dd ) * & |
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284 | u(k+1,j+1,i+1) ) / ( 3.0_wp * gg ) - u_gtrans |
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285 | u_int(n) = u_int_l + ( zv(n) - zu(k) ) / dz * & |
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286 | ( u_int_u - u_int_l ) |
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287 | ENDIF |
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288 | ENDIF |
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289 | |
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290 | ENDDO |
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291 | |
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292 | i = ip + block_offset(nb)%i_off |
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293 | j = jp |
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294 | k = kp + block_offset(nb)%k_off |
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295 | ! |
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296 | !-- Same procedure for interpolation of the v velocity-component |
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297 | DO n = start_index(nb), end_index(nb) |
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298 | |
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299 | IF ( constant_flux_layer .AND. particles(n)%z < z_p ) THEN |
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300 | |
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301 | IF ( particles(n)%z < z0_av_global ) THEN |
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302 | ! |
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303 | !-- Resolved-scale horizontal particle velocity is zero below z0. |
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304 | v_int(n) = 0.0_wp |
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305 | ELSE |
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306 | ! |
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307 | !-- Neutral solution is applied for all situations, e.g. also for |
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308 | !-- unstable and stable situations. Even though this is not exact |
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309 | !-- this saves a lot of CPU time since several calls of intrinsic |
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310 | !-- FORTRAN procedures (LOG, ATAN) are avoided, This is justified |
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311 | !-- as sensitivity studies revealed no significant effect of |
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312 | !-- using the neutral solution also for un/stable situations. |
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313 | !-- Calculated left and bottom index on v grid. |
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314 | us_int = 0.5_wp * ( us(j,i) + us(j-1,i) ) |
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315 | |
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316 | v_int = -vsws(j,i) / ( us_int * kappa + 1E-10_wp ) & |
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317 | * log_z_z0_int(n) - v_gtrans |
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318 | ENDIF |
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319 | ELSE |
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320 | x = xv(n) - i * dx |
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321 | y = yv(n) + ( 0.5_wp - j ) * dy |
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322 | aa = x**2 + y**2 |
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323 | bb = ( dx - x )**2 + y**2 |
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324 | cc = x**2 + ( dy - y )**2 |
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325 | dd = ( dx - x )**2 + ( dy - y )**2 |
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326 | gg = aa + bb + cc + dd |
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327 | |
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328 | v_int_l = ( ( gg - aa ) * v(k,j,i) + ( gg - bb ) * v(k,j,i+1) & |
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329 | + ( gg - cc ) * v(k,j+1,i) + ( gg - dd ) * v(k,j+1,i+1) & |
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330 | ) / ( 3.0_wp * gg ) - v_gtrans |
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331 | |
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332 | IF ( k == nzt ) THEN |
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333 | v_int(n) = v_int_l |
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334 | ELSE |
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335 | v_int_u = ( ( gg-aa ) * v(k+1,j,i) + ( gg-bb ) * v(k+1,j,i+1) & |
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336 | + ( gg-cc ) * v(k+1,j+1,i) + ( gg-dd ) * v(k+1,j+1,i+1) & |
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337 | ) / ( 3.0_wp * gg ) - v_gtrans |
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338 | v_int(n) = v_int_l + ( zv(n) - zu(k) ) / dz * & |
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339 | ( v_int_u - v_int_l ) |
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340 | ENDIF |
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341 | ENDIF |
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342 | |
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343 | ENDDO |
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344 | |
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345 | i = ip + block_offset(nb)%i_off |
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346 | j = jp + block_offset(nb)%j_off |
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347 | k = kp-1 |
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348 | ! |
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349 | !-- Same procedure for interpolation of the w velocity-component |
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350 | DO n = start_index(nb), end_index(nb) |
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351 | |
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352 | IF ( vertical_particle_advection(particles(n)%group) ) THEN |
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353 | |
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354 | x = xv(n) - i * dx |
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355 | y = yv(n) - j * dy |
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356 | aa = x**2 + y**2 |
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357 | bb = ( dx - x )**2 + y**2 |
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358 | cc = x**2 + ( dy - y )**2 |
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359 | dd = ( dx - x )**2 + ( dy - y )**2 |
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360 | gg = aa + bb + cc + dd |
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361 | |
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362 | w_int_l = ( ( gg - aa ) * w(k,j,i) + ( gg - bb ) * w(k,j,i+1) & |
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363 | + ( gg - cc ) * w(k,j+1,i) + ( gg - dd ) * w(k,j+1,i+1) & |
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364 | ) / ( 3.0_wp * gg ) |
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365 | |
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366 | IF ( k == nzt ) THEN |
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367 | w_int(n) = w_int_l |
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368 | ELSE |
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369 | w_int_u = ( ( gg-aa ) * w(k+1,j,i) + & |
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370 | ( gg-bb ) * w(k+1,j,i+1) + & |
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371 | ( gg-cc ) * w(k+1,j+1,i) + & |
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372 | ( gg-dd ) * w(k+1,j+1,i+1) & |
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373 | ) / ( 3.0_wp * gg ) |
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374 | w_int(n) = w_int_l + ( zv(n) - zw(k) ) / dz * & |
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375 | ( w_int_u - w_int_l ) |
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376 | ENDIF |
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377 | |
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378 | ELSE |
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379 | |
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380 | w_int(n) = 0.0_wp |
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381 | |
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382 | ENDIF |
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383 | |
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384 | ENDDO |
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385 | |
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386 | ENDDO |
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387 | |
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388 | !-- Interpolate and calculate quantities needed for calculating the SGS |
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389 | !-- velocities |
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390 | IF ( use_sgs_for_particles ) THEN |
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391 | |
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392 | IF ( topography == 'flat' ) THEN |
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393 | |
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394 | DO nb = 0,7 |
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395 | |
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396 | i = ip + block_offset(nb)%i_off |
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397 | j = jp + block_offset(nb)%j_off |
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398 | k = kp + block_offset(nb)%k_off |
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399 | |
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400 | DO n = start_index(nb), end_index(nb) |
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401 | ! |
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402 | !-- Interpolate TKE |
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403 | x = xv(n) - i * dx |
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404 | y = yv(n) - j * dy |
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405 | aa = x**2 + y**2 |
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406 | bb = ( dx - x )**2 + y**2 |
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407 | cc = x**2 + ( dy - y )**2 |
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408 | dd = ( dx - x )**2 + ( dy - y )**2 |
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409 | gg = aa + bb + cc + dd |
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410 | |
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411 | e_int_l = ( ( gg-aa ) * e(k,j,i) + ( gg-bb ) * e(k,j,i+1) & |
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412 | + ( gg-cc ) * e(k,j+1,i) + ( gg-dd ) * e(k,j+1,i+1) & |
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413 | ) / ( 3.0_wp * gg ) |
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414 | |
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415 | IF ( k+1 == nzt+1 ) THEN |
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416 | e_int(n) = e_int_l |
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417 | ELSE |
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418 | e_int_u = ( ( gg - aa ) * e(k+1,j,i) + & |
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419 | ( gg - bb ) * e(k+1,j,i+1) + & |
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420 | ( gg - cc ) * e(k+1,j+1,i) + & |
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421 | ( gg - dd ) * e(k+1,j+1,i+1) & |
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422 | ) / ( 3.0_wp * gg ) |
---|
423 | e_int(n) = e_int_l + ( zv(n) - zu(k) ) / dz * & |
---|
424 | ( e_int_u - e_int_l ) |
---|
425 | ENDIF |
---|
426 | ! |
---|
427 | !-- Needed to avoid NaN particle velocities (this might not be |
---|
428 | !-- required any more) |
---|
429 | IF ( e_int(n) <= 0.0_wp ) THEN |
---|
430 | e_int(n) = 1.0E-20_wp |
---|
431 | ENDIF |
---|
432 | ! |
---|
433 | !-- Interpolate the TKE gradient along x (adopt incides i,j,k and |
---|
434 | !-- all position variables from above (TKE)) |
---|
435 | de_dx_int_l = ( ( gg - aa ) * de_dx(k,j,i) + & |
---|
436 | ( gg - bb ) * de_dx(k,j,i+1) + & |
---|
437 | ( gg - cc ) * de_dx(k,j+1,i) + & |
---|
438 | ( gg - dd ) * de_dx(k,j+1,i+1) & |
---|
439 | ) / ( 3.0_wp * gg ) |
---|
440 | |
---|
441 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
---|
442 | de_dx_int(n) = de_dx_int_l |
---|
443 | ELSE |
---|
444 | de_dx_int_u = ( ( gg - aa ) * de_dx(k+1,j,i) + & |
---|
445 | ( gg - bb ) * de_dx(k+1,j,i+1) + & |
---|
446 | ( gg - cc ) * de_dx(k+1,j+1,i) + & |
---|
447 | ( gg - dd ) * de_dx(k+1,j+1,i+1) & |
---|
448 | ) / ( 3.0_wp * gg ) |
---|
449 | de_dx_int(n) = de_dx_int_l + ( zv(n) - zu(k) ) / dz * & |
---|
450 | ( de_dx_int_u - de_dx_int_l ) |
---|
451 | ENDIF |
---|
452 | ! |
---|
453 | !-- Interpolate the TKE gradient along y |
---|
454 | de_dy_int_l = ( ( gg - aa ) * de_dy(k,j,i) + & |
---|
455 | ( gg - bb ) * de_dy(k,j,i+1) + & |
---|
456 | ( gg - cc ) * de_dy(k,j+1,i) + & |
---|
457 | ( gg - dd ) * de_dy(k,j+1,i+1) & |
---|
458 | ) / ( 3.0_wp * gg ) |
---|
459 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
---|
460 | de_dy_int(n) = de_dy_int_l |
---|
461 | ELSE |
---|
462 | de_dy_int_u = ( ( gg - aa ) * de_dy(k+1,j,i) + & |
---|
463 | ( gg - bb ) * de_dy(k+1,j,i+1) + & |
---|
464 | ( gg - cc ) * de_dy(k+1,j+1,i) + & |
---|
465 | ( gg - dd ) * de_dy(k+1,j+1,i+1) & |
---|
466 | ) / ( 3.0_wp * gg ) |
---|
467 | de_dy_int(n) = de_dy_int_l + ( zv(n) - zu(k) ) / dz * & |
---|
468 | ( de_dy_int_u - de_dy_int_l ) |
---|
469 | ENDIF |
---|
470 | |
---|
471 | ! |
---|
472 | !-- Interpolate the TKE gradient along z |
---|
473 | IF ( zv(n) < 0.5_wp * dz ) THEN |
---|
474 | de_dz_int(n) = 0.0_wp |
---|
475 | ELSE |
---|
476 | de_dz_int_l = ( ( gg - aa ) * de_dz(k,j,i) + & |
---|
477 | ( gg - bb ) * de_dz(k,j,i+1) + & |
---|
478 | ( gg - cc ) * de_dz(k,j+1,i) + & |
---|
479 | ( gg - dd ) * de_dz(k,j+1,i+1) & |
---|
480 | ) / ( 3.0_wp * gg ) |
---|
481 | |
---|
482 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
---|
483 | de_dz_int(n) = de_dz_int_l |
---|
484 | ELSE |
---|
485 | de_dz_int_u = ( ( gg - aa ) * de_dz(k+1,j,i) + & |
---|
486 | ( gg - bb ) * de_dz(k+1,j,i+1) + & |
---|
487 | ( gg - cc ) * de_dz(k+1,j+1,i) + & |
---|
488 | ( gg - dd ) * de_dz(k+1,j+1,i+1) & |
---|
489 | ) / ( 3.0_wp * gg ) |
---|
490 | de_dz_int(n) = de_dz_int_l + ( zv(n) - zu(k) ) / dz * & |
---|
491 | ( de_dz_int_u - de_dz_int_l ) |
---|
492 | ENDIF |
---|
493 | ENDIF |
---|
494 | |
---|
495 | ! |
---|
496 | !-- Interpolate the dissipation of TKE |
---|
497 | diss_int_l = ( ( gg - aa ) * diss(k,j,i) + & |
---|
498 | ( gg - bb ) * diss(k,j,i+1) + & |
---|
499 | ( gg - cc ) * diss(k,j+1,i) + & |
---|
500 | ( gg - dd ) * diss(k,j+1,i+1) & |
---|
501 | ) / ( 3.0_wp * gg ) |
---|
502 | |
---|
503 | IF ( k == nzt ) THEN |
---|
504 | diss_int(n) = diss_int_l |
---|
505 | ELSE |
---|
506 | diss_int_u = ( ( gg - aa ) * diss(k+1,j,i) + & |
---|
507 | ( gg - bb ) * diss(k+1,j,i+1) + & |
---|
508 | ( gg - cc ) * diss(k+1,j+1,i) + & |
---|
509 | ( gg - dd ) * diss(k+1,j+1,i+1) & |
---|
510 | ) / ( 3.0_wp * gg ) |
---|
511 | diss_int(n) = diss_int_l + ( zv(n) - zu(k) ) / dz * & |
---|
512 | ( diss_int_u - diss_int_l ) |
---|
513 | ENDIF |
---|
514 | |
---|
515 | ENDDO |
---|
516 | ENDDO |
---|
517 | |
---|
518 | ELSE ! non-flat topography, e.g., buildings |
---|
519 | |
---|
520 | DO n = 1, number_of_particles |
---|
521 | |
---|
522 | i = particles(n)%x * ddx |
---|
523 | j = particles(n)%y * ddy |
---|
524 | k = ( zv(n) + 0.5_wp * dz * atmos_ocean_sign ) / dz & |
---|
525 | + offset_ocean_nzt ! only exact if eq.dist |
---|
526 | ! |
---|
527 | !-- In case that there are buildings it has to be determined |
---|
528 | !-- how many of the gridpoints defining the particle box are |
---|
529 | !-- situated within a building |
---|
530 | !-- gp_outside_of_building(1): i,j,k |
---|
531 | !-- gp_outside_of_building(2): i,j+1,k |
---|
532 | !-- gp_outside_of_building(3): i,j,k+1 |
---|
533 | !-- gp_outside_of_building(4): i,j+1,k+1 |
---|
534 | !-- gp_outside_of_building(5): i+1,j,k |
---|
535 | !-- gp_outside_of_building(6): i+1,j+1,k |
---|
536 | !-- gp_outside_of_building(7): i+1,j,k+1 |
---|
537 | !-- gp_outside_of_building(8): i+1,j+1,k+1 |
---|
538 | |
---|
539 | gp_outside_of_building = 0 |
---|
540 | location = 0.0_wp |
---|
541 | num_gp = 0 |
---|
542 | |
---|
543 | IF ( k > nzb_s_inner(j,i) .OR. nzb_s_inner(j,i) == 0 ) THEN |
---|
544 | num_gp = num_gp + 1 |
---|
545 | gp_outside_of_building(1) = 1 |
---|
546 | location(num_gp,1) = i * dx |
---|
547 | location(num_gp,2) = j * dy |
---|
548 | location(num_gp,3) = k * dz - 0.5_wp * dz |
---|
549 | ei(num_gp) = e(k,j,i) |
---|
550 | dissi(num_gp) = diss(k,j,i) |
---|
551 | de_dxi(num_gp) = de_dx(k,j,i) |
---|
552 | de_dyi(num_gp) = de_dy(k,j,i) |
---|
553 | de_dzi(num_gp) = de_dz(k,j,i) |
---|
554 | ENDIF |
---|
555 | |
---|
556 | IF ( k > nzb_s_inner(j+1,i) .OR. nzb_s_inner(j+1,i) == 0 ) & |
---|
557 | THEN |
---|
558 | num_gp = num_gp + 1 |
---|
559 | gp_outside_of_building(2) = 1 |
---|
560 | location(num_gp,1) = i * dx |
---|
561 | location(num_gp,2) = (j+1) * dy |
---|
562 | location(num_gp,3) = k * dz - 0.5_wp * dz |
---|
563 | ei(num_gp) = e(k,j+1,i) |
---|
564 | dissi(num_gp) = diss(k,j+1,i) |
---|
565 | de_dxi(num_gp) = de_dx(k,j+1,i) |
---|
566 | de_dyi(num_gp) = de_dy(k,j+1,i) |
---|
567 | de_dzi(num_gp) = de_dz(k,j+1,i) |
---|
568 | ENDIF |
---|
569 | |
---|
570 | IF ( k+1 > nzb_s_inner(j,i) .OR. nzb_s_inner(j,i) == 0 ) THEN |
---|
571 | num_gp = num_gp + 1 |
---|
572 | gp_outside_of_building(3) = 1 |
---|
573 | location(num_gp,1) = i * dx |
---|
574 | location(num_gp,2) = j * dy |
---|
575 | location(num_gp,3) = (k+1) * dz - 0.5_wp * dz |
---|
576 | ei(num_gp) = e(k+1,j,i) |
---|
577 | dissi(num_gp) = diss(k+1,j,i) |
---|
578 | de_dxi(num_gp) = de_dx(k+1,j,i) |
---|
579 | de_dyi(num_gp) = de_dy(k+1,j,i) |
---|
580 | de_dzi(num_gp) = de_dz(k+1,j,i) |
---|
581 | ENDIF |
---|
582 | |
---|
583 | IF ( k+1 > nzb_s_inner(j+1,i) .OR. nzb_s_inner(j+1,i) == 0 ) & |
---|
584 | THEN |
---|
585 | num_gp = num_gp + 1 |
---|
586 | gp_outside_of_building(4) = 1 |
---|
587 | location(num_gp,1) = i * dx |
---|
588 | location(num_gp,2) = (j+1) * dy |
---|
589 | location(num_gp,3) = (k+1) * dz - 0.5_wp * dz |
---|
590 | ei(num_gp) = e(k+1,j+1,i) |
---|
591 | dissi(num_gp) = diss(k+1,j+1,i) |
---|
592 | de_dxi(num_gp) = de_dx(k+1,j+1,i) |
---|
593 | de_dyi(num_gp) = de_dy(k+1,j+1,i) |
---|
594 | de_dzi(num_gp) = de_dz(k+1,j+1,i) |
---|
595 | ENDIF |
---|
596 | |
---|
597 | IF ( k > nzb_s_inner(j,i+1) .OR. nzb_s_inner(j,i+1) == 0 ) & |
---|
598 | THEN |
---|
599 | num_gp = num_gp + 1 |
---|
600 | gp_outside_of_building(5) = 1 |
---|
601 | location(num_gp,1) = (i+1) * dx |
---|
602 | location(num_gp,2) = j * dy |
---|
603 | location(num_gp,3) = k * dz - 0.5_wp * dz |
---|
604 | ei(num_gp) = e(k,j,i+1) |
---|
605 | dissi(num_gp) = diss(k,j,i+1) |
---|
606 | de_dxi(num_gp) = de_dx(k,j,i+1) |
---|
607 | de_dyi(num_gp) = de_dy(k,j,i+1) |
---|
608 | de_dzi(num_gp) = de_dz(k,j,i+1) |
---|
609 | ENDIF |
---|
610 | |
---|
611 | IF ( k > nzb_s_inner(j+1,i+1) .OR. nzb_s_inner(j+1,i+1) == 0 ) & |
---|
612 | THEN |
---|
613 | num_gp = num_gp + 1 |
---|
614 | gp_outside_of_building(6) = 1 |
---|
615 | location(num_gp,1) = (i+1) * dx |
---|
616 | location(num_gp,2) = (j+1) * dy |
---|
617 | location(num_gp,3) = k * dz - 0.5_wp * dz |
---|
618 | ei(num_gp) = e(k,j+1,i+1) |
---|
619 | dissi(num_gp) = diss(k,j+1,i+1) |
---|
620 | de_dxi(num_gp) = de_dx(k,j+1,i+1) |
---|
621 | de_dyi(num_gp) = de_dy(k,j+1,i+1) |
---|
622 | de_dzi(num_gp) = de_dz(k,j+1,i+1) |
---|
623 | ENDIF |
---|
624 | |
---|
625 | IF ( k+1 > nzb_s_inner(j,i+1) .OR. nzb_s_inner(j,i+1) == 0 ) & |
---|
626 | THEN |
---|
627 | num_gp = num_gp + 1 |
---|
628 | gp_outside_of_building(7) = 1 |
---|
629 | location(num_gp,1) = (i+1) * dx |
---|
630 | location(num_gp,2) = j * dy |
---|
631 | location(num_gp,3) = (k+1) * dz - 0.5_wp * dz |
---|
632 | ei(num_gp) = e(k+1,j,i+1) |
---|
633 | dissi(num_gp) = diss(k+1,j,i+1) |
---|
634 | de_dxi(num_gp) = de_dx(k+1,j,i+1) |
---|
635 | de_dyi(num_gp) = de_dy(k+1,j,i+1) |
---|
636 | de_dzi(num_gp) = de_dz(k+1,j,i+1) |
---|
637 | ENDIF |
---|
638 | |
---|
639 | IF ( k+1 > nzb_s_inner(j+1,i+1) .OR. nzb_s_inner(j+1,i+1) == 0)& |
---|
640 | THEN |
---|
641 | num_gp = num_gp + 1 |
---|
642 | gp_outside_of_building(8) = 1 |
---|
643 | location(num_gp,1) = (i+1) * dx |
---|
644 | location(num_gp,2) = (j+1) * dy |
---|
645 | location(num_gp,3) = (k+1) * dz - 0.5_wp * dz |
---|
646 | ei(num_gp) = e(k+1,j+1,i+1) |
---|
647 | dissi(num_gp) = diss(k+1,j+1,i+1) |
---|
648 | de_dxi(num_gp) = de_dx(k+1,j+1,i+1) |
---|
649 | de_dyi(num_gp) = de_dy(k+1,j+1,i+1) |
---|
650 | de_dzi(num_gp) = de_dz(k+1,j+1,i+1) |
---|
651 | ENDIF |
---|
652 | |
---|
653 | ! |
---|
654 | !-- If all gridpoints are situated outside of a building, then the |
---|
655 | !-- ordinary interpolation scheme can be used. |
---|
656 | IF ( num_gp == 8 ) THEN |
---|
657 | |
---|
658 | x = particles(n)%x - i * dx |
---|
659 | y = particles(n)%y - j * dy |
---|
660 | aa = x**2 + y**2 |
---|
661 | bb = ( dx - x )**2 + y**2 |
---|
662 | cc = x**2 + ( dy - y )**2 |
---|
663 | dd = ( dx - x )**2 + ( dy - y )**2 |
---|
664 | gg = aa + bb + cc + dd |
---|
665 | |
---|
666 | e_int_l = ( ( gg - aa ) * e(k,j,i) + ( gg - bb ) * e(k,j,i+1) & |
---|
667 | + ( gg - cc ) * e(k,j+1,i) + ( gg - dd ) * e(k,j+1,i+1) & |
---|
668 | ) / ( 3.0_wp * gg ) |
---|
669 | |
---|
670 | IF ( k == nzt ) THEN |
---|
671 | e_int(n) = e_int_l |
---|
672 | ELSE |
---|
673 | e_int_u = ( ( gg - aa ) * e(k+1,j,i) + & |
---|
674 | ( gg - bb ) * e(k+1,j,i+1) + & |
---|
675 | ( gg - cc ) * e(k+1,j+1,i) + & |
---|
676 | ( gg - dd ) * e(k+1,j+1,i+1) & |
---|
677 | ) / ( 3.0_wp * gg ) |
---|
678 | e_int(n) = e_int_l + ( zv(n) - zu(k) ) / dz * & |
---|
679 | ( e_int_u - e_int_l ) |
---|
680 | ENDIF |
---|
681 | ! |
---|
682 | !-- Needed to avoid NaN particle velocities (this might not be |
---|
683 | !-- required any more) |
---|
684 | IF ( e_int(n) <= 0.0_wp ) THEN |
---|
685 | e_int(n) = 1.0E-20_wp |
---|
686 | ENDIF |
---|
687 | ! |
---|
688 | !-- Interpolate the TKE gradient along x (adopt incides i,j,k |
---|
689 | !-- and all position variables from above (TKE)) |
---|
690 | de_dx_int_l = ( ( gg - aa ) * de_dx(k,j,i) + & |
---|
691 | ( gg - bb ) * de_dx(k,j,i+1) + & |
---|
692 | ( gg - cc ) * de_dx(k,j+1,i) + & |
---|
693 | ( gg - dd ) * de_dx(k,j+1,i+1) & |
---|
694 | ) / ( 3.0_wp * gg ) |
---|
695 | |
---|
696 | IF ( ( k == nzt ) .OR. ( k == nzb ) ) THEN |
---|
697 | de_dx_int(n) = de_dx_int_l |
---|
698 | ELSE |
---|
699 | de_dx_int_u = ( ( gg - aa ) * de_dx(k+1,j,i) + & |
---|
700 | ( gg - bb ) * de_dx(k+1,j,i+1) + & |
---|
701 | ( gg - cc ) * de_dx(k+1,j+1,i) + & |
---|
702 | ( gg - dd ) * de_dx(k+1,j+1,i+1) & |
---|
703 | ) / ( 3.0_wp * gg ) |
---|
704 | de_dx_int(n) = de_dx_int_l + ( zv(n) - zu(k) ) / & |
---|
705 | dz * ( de_dx_int_u - de_dx_int_l ) |
---|
706 | ENDIF |
---|
707 | |
---|
708 | ! |
---|
709 | !-- Interpolate the TKE gradient along y |
---|
710 | de_dy_int_l = ( ( gg - aa ) * de_dy(k,j,i) + & |
---|
711 | ( gg - bb ) * de_dy(k,j,i+1) + & |
---|
712 | ( gg - cc ) * de_dy(k,j+1,i) + & |
---|
713 | ( gg - dd ) * de_dy(k,j+1,i+1) & |
---|
714 | ) / ( 3.0_wp * gg ) |
---|
715 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
---|
716 | de_dy_int(n) = de_dy_int_l |
---|
717 | ELSE |
---|
718 | de_dy_int_u = ( ( gg - aa ) * de_dy(k+1,j,i) + & |
---|
719 | ( gg - bb ) * de_dy(k+1,j,i+1) + & |
---|
720 | ( gg - cc ) * de_dy(k+1,j+1,i) + & |
---|
721 | ( gg - dd ) * de_dy(k+1,j+1,i+1) & |
---|
722 | ) / ( 3.0_wp * gg ) |
---|
723 | de_dy_int(n) = de_dy_int_l + ( zv(n) - zu(k) ) / & |
---|
724 | dz * ( de_dy_int_u - de_dy_int_l ) |
---|
725 | ENDIF |
---|
726 | |
---|
727 | ! |
---|
728 | !-- Interpolate the TKE gradient along z |
---|
729 | IF ( zv(n) < 0.5_wp * dz ) THEN |
---|
730 | de_dz_int(n) = 0.0_wp |
---|
731 | ELSE |
---|
732 | de_dz_int_l = ( ( gg - aa ) * de_dz(k,j,i) + & |
---|
733 | ( gg - bb ) * de_dz(k,j,i+1) + & |
---|
734 | ( gg - cc ) * de_dz(k,j+1,i) + & |
---|
735 | ( gg - dd ) * de_dz(k,j+1,i+1) & |
---|
736 | ) / ( 3.0_wp * gg ) |
---|
737 | |
---|
738 | IF ( ( k+1 == nzt+1 ) .OR. ( k == nzb ) ) THEN |
---|
739 | de_dz_int(n) = de_dz_int_l |
---|
740 | ELSE |
---|
741 | de_dz_int_u = ( ( gg - aa ) * de_dz(k+1,j,i) + & |
---|
742 | ( gg - bb ) * de_dz(k+1,j,i+1) + & |
---|
743 | ( gg - cc ) * de_dz(k+1,j+1,i) + & |
---|
744 | ( gg - dd ) * de_dz(k+1,j+1,i+1) & |
---|
745 | ) / ( 3.0_wp * gg ) |
---|
746 | de_dz_int(n) = de_dz_int_l + ( zv(n) - zu(k) ) /& |
---|
747 | dz * ( de_dz_int_u - de_dz_int_l ) |
---|
748 | ENDIF |
---|
749 | ENDIF |
---|
750 | |
---|
751 | ! |
---|
752 | !-- Interpolate the dissipation of TKE |
---|
753 | diss_int_l = ( ( gg - aa ) * diss(k,j,i) + & |
---|
754 | ( gg - bb ) * diss(k,j,i+1) + & |
---|
755 | ( gg - cc ) * diss(k,j+1,i) + & |
---|
756 | ( gg - dd ) * diss(k,j+1,i+1) & |
---|
757 | ) / ( 3.0_wp * gg ) |
---|
758 | |
---|
759 | IF ( k == nzt ) THEN |
---|
760 | diss_int(n) = diss_int_l |
---|
761 | ELSE |
---|
762 | diss_int_u = ( ( gg - aa ) * diss(k+1,j,i) + & |
---|
763 | ( gg - bb ) * diss(k+1,j,i+1) + & |
---|
764 | ( gg - cc ) * diss(k+1,j+1,i) + & |
---|
765 | ( gg - dd ) * diss(k+1,j+1,i+1) & |
---|
766 | ) / ( 3.0_wp * gg ) |
---|
767 | diss_int(n) = diss_int_l + ( zv(n) - zu(k) ) / dz *& |
---|
768 | ( diss_int_u - diss_int_l ) |
---|
769 | ENDIF |
---|
770 | |
---|
771 | ELSE |
---|
772 | |
---|
773 | ! |
---|
774 | !-- If wall between gridpoint 1 and gridpoint 5, then |
---|
775 | !-- Neumann boundary condition has to be applied |
---|
776 | IF ( gp_outside_of_building(1) == 1 .AND. & |
---|
777 | gp_outside_of_building(5) == 0 ) THEN |
---|
778 | num_gp = num_gp + 1 |
---|
779 | location(num_gp,1) = i * dx + 0.5_wp * dx |
---|
780 | location(num_gp,2) = j * dy |
---|
781 | location(num_gp,3) = k * dz - 0.5_wp * dz |
---|
782 | ei(num_gp) = e(k,j,i) |
---|
783 | dissi(num_gp) = diss(k,j,i) |
---|
784 | de_dxi(num_gp) = 0.0_wp |
---|
785 | de_dyi(num_gp) = de_dy(k,j,i) |
---|
786 | de_dzi(num_gp) = de_dz(k,j,i) |
---|
787 | ENDIF |
---|
788 | |
---|
789 | IF ( gp_outside_of_building(5) == 1 .AND. & |
---|
790 | gp_outside_of_building(1) == 0 ) THEN |
---|
791 | num_gp = num_gp + 1 |
---|
792 | location(num_gp,1) = i * dx + 0.5_wp * dx |
---|
793 | location(num_gp,2) = j * dy |
---|
794 | location(num_gp,3) = k * dz - 0.5_wp * dz |
---|
795 | ei(num_gp) = e(k,j,i+1) |
---|
796 | dissi(num_gp) = diss(k,j,i+1) |
---|
797 | de_dxi(num_gp) = 0.0_wp |
---|
798 | de_dyi(num_gp) = de_dy(k,j,i+1) |
---|
799 | de_dzi(num_gp) = de_dz(k,j,i+1) |
---|
800 | ENDIF |
---|
801 | |
---|
802 | ! |
---|
803 | !-- If wall between gridpoint 5 and gridpoint 6, then |
---|
804 | !-- then Neumann boundary condition has to be applied |
---|
805 | IF ( gp_outside_of_building(5) == 1 .AND. & |
---|
806 | gp_outside_of_building(6) == 0 ) THEN |
---|
807 | num_gp = num_gp + 1 |
---|
808 | location(num_gp,1) = (i+1) * dx |
---|
809 | location(num_gp,2) = j * dy + 0.5_wp * dy |
---|
810 | location(num_gp,3) = k * dz - 0.5_wp * dz |
---|
811 | ei(num_gp) = e(k,j,i+1) |
---|
812 | dissi(num_gp) = diss(k,j,i+1) |
---|
813 | de_dxi(num_gp) = de_dx(k,j,i+1) |
---|
814 | de_dyi(num_gp) = 0.0_wp |
---|
815 | de_dzi(num_gp) = de_dz(k,j,i+1) |
---|
816 | ENDIF |
---|
817 | |
---|
818 | IF ( gp_outside_of_building(6) == 1 .AND. & |
---|
819 | gp_outside_of_building(5) == 0 ) THEN |
---|
820 | num_gp = num_gp + 1 |
---|
821 | location(num_gp,1) = (i+1) * dx |
---|
822 | location(num_gp,2) = j * dy + 0.5_wp * dy |
---|
823 | location(num_gp,3) = k * dz - 0.5_wp * dz |
---|
824 | ei(num_gp) = e(k,j+1,i+1) |
---|
825 | dissi(num_gp) = diss(k,j+1,i+1) |
---|
826 | de_dxi(num_gp) = de_dx(k,j+1,i+1) |
---|
827 | de_dyi(num_gp) = 0.0_wp |
---|
828 | de_dzi(num_gp) = de_dz(k,j+1,i+1) |
---|
829 | ENDIF |
---|
830 | |
---|
831 | ! |
---|
832 | !-- If wall between gridpoint 2 and gridpoint 6, then |
---|
833 | !-- Neumann boundary condition has to be applied |
---|
834 | IF ( gp_outside_of_building(2) == 1 .AND. & |
---|
835 | gp_outside_of_building(6) == 0 ) THEN |
---|
836 | num_gp = num_gp + 1 |
---|
837 | location(num_gp,1) = i * dx + 0.5_wp * dx |
---|
838 | location(num_gp,2) = (j+1) * dy |
---|
839 | location(num_gp,3) = k * dz - 0.5_wp * dz |
---|
840 | ei(num_gp) = e(k,j+1,i) |
---|
841 | dissi(num_gp) = diss(k,j+1,i) |
---|
842 | de_dxi(num_gp) = 0.0_wp |
---|
843 | de_dyi(num_gp) = de_dy(k,j+1,i) |
---|
844 | de_dzi(num_gp) = de_dz(k,j+1,i) |
---|
845 | ENDIF |
---|
846 | |
---|
847 | IF ( gp_outside_of_building(6) == 1 .AND. & |
---|
848 | gp_outside_of_building(2) == 0 ) THEN |
---|
849 | num_gp = num_gp + 1 |
---|
850 | location(num_gp,1) = i * dx + 0.5_wp * dx |
---|
851 | location(num_gp,2) = (j+1) * dy |
---|
852 | location(num_gp,3) = k * dz - 0.5_wp * dz |
---|
853 | ei(num_gp) = e(k,j+1,i+1) |
---|
854 | dissi(num_gp) = diss(k,j+1,i+1) |
---|
855 | de_dxi(num_gp) = 0.0_wp |
---|
856 | de_dyi(num_gp) = de_dy(k,j+1,i+1) |
---|
857 | de_dzi(num_gp) = de_dz(k,j+1,i+1) |
---|
858 | ENDIF |
---|
859 | |
---|
860 | ! |
---|
861 | !-- If wall between gridpoint 1 and gridpoint 2, then |
---|
862 | !-- Neumann boundary condition has to be applied |
---|
863 | IF ( gp_outside_of_building(1) == 1 .AND. & |
---|
864 | gp_outside_of_building(2) == 0 ) THEN |
---|
865 | num_gp = num_gp + 1 |
---|
866 | location(num_gp,1) = i * dx |
---|
867 | location(num_gp,2) = j * dy + 0.5_wp * dy |
---|
868 | location(num_gp,3) = k * dz - 0.5_wp * dz |
---|
869 | ei(num_gp) = e(k,j,i) |
---|
870 | dissi(num_gp) = diss(k,j,i) |
---|
871 | de_dxi(num_gp) = de_dx(k,j,i) |
---|
872 | de_dyi(num_gp) = 0.0_wp |
---|
873 | de_dzi(num_gp) = de_dz(k,j,i) |
---|
874 | ENDIF |
---|
875 | |
---|
876 | IF ( gp_outside_of_building(2) == 1 .AND. & |
---|
877 | gp_outside_of_building(1) == 0 ) THEN |
---|
878 | num_gp = num_gp + 1 |
---|
879 | location(num_gp,1) = i * dx |
---|
880 | location(num_gp,2) = j * dy + 0.5_wp * dy |
---|
881 | location(num_gp,3) = k * dz - 0.5_wp * dz |
---|
882 | ei(num_gp) = e(k,j+1,i) |
---|
883 | dissi(num_gp) = diss(k,j+1,i) |
---|
884 | de_dxi(num_gp) = de_dx(k,j+1,i) |
---|
885 | de_dyi(num_gp) = 0.0_wp |
---|
886 | de_dzi(num_gp) = de_dz(k,j+1,i) |
---|
887 | ENDIF |
---|
888 | |
---|
889 | ! |
---|
890 | !-- If wall between gridpoint 3 and gridpoint 7, then |
---|
891 | !-- Neumann boundary condition has to be applied |
---|
892 | IF ( gp_outside_of_building(3) == 1 .AND. & |
---|
893 | gp_outside_of_building(7) == 0 ) THEN |
---|
894 | num_gp = num_gp + 1 |
---|
895 | location(num_gp,1) = i * dx + 0.5_wp * dx |
---|
896 | location(num_gp,2) = j * dy |
---|
897 | location(num_gp,3) = k * dz + 0.5_wp * dz |
---|
898 | ei(num_gp) = e(k+1,j,i) |
---|
899 | dissi(num_gp) = diss(k+1,j,i) |
---|
900 | de_dxi(num_gp) = 0.0_wp |
---|
901 | de_dyi(num_gp) = de_dy(k+1,j,i) |
---|
902 | de_dzi(num_gp) = de_dz(k+1,j,i) |
---|
903 | ENDIF |
---|
904 | |
---|
905 | IF ( gp_outside_of_building(7) == 1 .AND. & |
---|
906 | gp_outside_of_building(3) == 0 ) THEN |
---|
907 | num_gp = num_gp + 1 |
---|
908 | location(num_gp,1) = i * dx + 0.5_wp * dx |
---|
909 | location(num_gp,2) = j * dy |
---|
910 | location(num_gp,3) = k * dz + 0.5_wp * dz |
---|
911 | ei(num_gp) = e(k+1,j,i+1) |
---|
912 | dissi(num_gp) = diss(k+1,j,i+1) |
---|
913 | de_dxi(num_gp) = 0.0_wp |
---|
914 | de_dyi(num_gp) = de_dy(k+1,j,i+1) |
---|
915 | de_dzi(num_gp) = de_dz(k+1,j,i+1) |
---|
916 | ENDIF |
---|
917 | |
---|
918 | ! |
---|
919 | !-- If wall between gridpoint 7 and gridpoint 8, then |
---|
920 | !-- Neumann boundary condition has to be applied |
---|
921 | IF ( gp_outside_of_building(7) == 1 .AND. & |
---|
922 | gp_outside_of_building(8) == 0 ) THEN |
---|
923 | num_gp = num_gp + 1 |
---|
924 | location(num_gp,1) = (i+1) * dx |
---|
925 | location(num_gp,2) = j * dy + 0.5_wp * dy |
---|
926 | location(num_gp,3) = k * dz + 0.5_wp * dz |
---|
927 | ei(num_gp) = e(k+1,j,i+1) |
---|
928 | dissi(num_gp) = diss(k+1,j,i+1) |
---|
929 | de_dxi(num_gp) = de_dx(k+1,j,i+1) |
---|
930 | de_dyi(num_gp) = 0.0_wp |
---|
931 | de_dzi(num_gp) = de_dz(k+1,j,i+1) |
---|
932 | ENDIF |
---|
933 | |
---|
934 | IF ( gp_outside_of_building(8) == 1 .AND. & |
---|
935 | gp_outside_of_building(7) == 0 ) THEN |
---|
936 | num_gp = num_gp + 1 |
---|
937 | location(num_gp,1) = (i+1) * dx |
---|
938 | location(num_gp,2) = j * dy + 0.5_wp * dy |
---|
939 | location(num_gp,3) = k * dz + 0.5_wp * dz |
---|
940 | ei(num_gp) = e(k+1,j+1,i+1) |
---|
941 | dissi(num_gp) = diss(k+1,j+1,i+1) |
---|
942 | de_dxi(num_gp) = de_dx(k+1,j+1,i+1) |
---|
943 | de_dyi(num_gp) = 0.0_wp |
---|
944 | de_dzi(num_gp) = de_dz(k+1,j+1,i+1) |
---|
945 | ENDIF |
---|
946 | |
---|
947 | ! |
---|
948 | !-- If wall between gridpoint 4 and gridpoint 8, then |
---|
949 | !-- Neumann boundary condition has to be applied |
---|
950 | IF ( gp_outside_of_building(4) == 1 .AND. & |
---|
951 | gp_outside_of_building(8) == 0 ) THEN |
---|
952 | num_gp = num_gp + 1 |
---|
953 | location(num_gp,1) = i * dx + 0.5_wp * dx |
---|
954 | location(num_gp,2) = (j+1) * dy |
---|
955 | location(num_gp,3) = k * dz + 0.5_wp * dz |
---|
956 | ei(num_gp) = e(k+1,j+1,i) |
---|
957 | dissi(num_gp) = diss(k+1,j+1,i) |
---|
958 | de_dxi(num_gp) = 0.0_wp |
---|
959 | de_dyi(num_gp) = de_dy(k+1,j+1,i) |
---|
960 | de_dzi(num_gp) = de_dz(k+1,j+1,i) |
---|
961 | ENDIF |
---|
962 | |
---|
963 | IF ( gp_outside_of_building(8) == 1 .AND. & |
---|
964 | gp_outside_of_building(4) == 0 ) THEN |
---|
965 | num_gp = num_gp + 1 |
---|
966 | location(num_gp,1) = i * dx + 0.5_wp * dx |
---|
967 | location(num_gp,2) = (j+1) * dy |
---|
968 | location(num_gp,3) = k * dz + 0.5_wp * dz |
---|
969 | ei(num_gp) = e(k+1,j+1,i+1) |
---|
970 | dissi(num_gp) = diss(k+1,j+1,i+1) |
---|
971 | de_dxi(num_gp) = 0.0_wp |
---|
972 | de_dyi(num_gp) = de_dy(k+1,j+1,i+1) |
---|
973 | de_dzi(num_gp) = de_dz(k+1,j+1,i+1) |
---|
974 | ENDIF |
---|
975 | |
---|
976 | ! |
---|
977 | !-- If wall between gridpoint 3 and gridpoint 4, then |
---|
978 | !-- Neumann boundary condition has to be applied |
---|
979 | IF ( gp_outside_of_building(3) == 1 .AND. & |
---|
980 | gp_outside_of_building(4) == 0 ) THEN |
---|
981 | num_gp = num_gp + 1 |
---|
982 | location(num_gp,1) = i * dx |
---|
983 | location(num_gp,2) = j * dy + 0.5_wp * dy |
---|
984 | location(num_gp,3) = k * dz + 0.5_wp * dz |
---|
985 | ei(num_gp) = e(k+1,j,i) |
---|
986 | dissi(num_gp) = diss(k+1,j,i) |
---|
987 | de_dxi(num_gp) = de_dx(k+1,j,i) |
---|
988 | de_dyi(num_gp) = 0.0_wp |
---|
989 | de_dzi(num_gp) = de_dz(k+1,j,i) |
---|
990 | ENDIF |
---|
991 | |
---|
992 | IF ( gp_outside_of_building(4) == 1 .AND. & |
---|
993 | gp_outside_of_building(3) == 0 ) THEN |
---|
994 | num_gp = num_gp + 1 |
---|
995 | location(num_gp,1) = i * dx |
---|
996 | location(num_gp,2) = j * dy + 0.5_wp * dy |
---|
997 | location(num_gp,3) = k * dz + 0.5_wp * dz |
---|
998 | ei(num_gp) = e(k+1,j+1,i) |
---|
999 | dissi(num_gp) = diss(k+1,j+1,i) |
---|
1000 | de_dxi(num_gp) = de_dx(k+1,j+1,i) |
---|
1001 | de_dyi(num_gp) = 0.0_wp |
---|
1002 | de_dzi(num_gp) = de_dz(k+1,j+1,i) |
---|
1003 | ENDIF |
---|
1004 | |
---|
1005 | ! |
---|
1006 | !-- If wall between gridpoint 1 and gridpoint 3, then |
---|
1007 | !-- Neumann boundary condition has to be applied |
---|
1008 | !-- (only one case as only building beneath is possible) |
---|
1009 | IF ( gp_outside_of_building(1) == 0 .AND. & |
---|
1010 | gp_outside_of_building(3) == 1 ) THEN |
---|
1011 | num_gp = num_gp + 1 |
---|
1012 | location(num_gp,1) = i * dx |
---|
1013 | location(num_gp,2) = j * dy |
---|
1014 | location(num_gp,3) = k * dz |
---|
1015 | ei(num_gp) = e(k+1,j,i) |
---|
1016 | dissi(num_gp) = diss(k+1,j,i) |
---|
1017 | de_dxi(num_gp) = de_dx(k+1,j,i) |
---|
1018 | de_dyi(num_gp) = de_dy(k+1,j,i) |
---|
1019 | de_dzi(num_gp) = 0.0_wp |
---|
1020 | ENDIF |
---|
1021 | |
---|
1022 | ! |
---|
1023 | !-- If wall between gridpoint 5 and gridpoint 7, then |
---|
1024 | !-- Neumann boundary condition has to be applied |
---|
1025 | !-- (only one case as only building beneath is possible) |
---|
1026 | IF ( gp_outside_of_building(5) == 0 .AND. & |
---|
1027 | gp_outside_of_building(7) == 1 ) THEN |
---|
1028 | num_gp = num_gp + 1 |
---|
1029 | location(num_gp,1) = (i+1) * dx |
---|
1030 | location(num_gp,2) = j * dy |
---|
1031 | location(num_gp,3) = k * dz |
---|
1032 | ei(num_gp) = e(k+1,j,i+1) |
---|
1033 | dissi(num_gp) = diss(k+1,j,i+1) |
---|
1034 | de_dxi(num_gp) = de_dx(k+1,j,i+1) |
---|
1035 | de_dyi(num_gp) = de_dy(k+1,j,i+1) |
---|
1036 | de_dzi(num_gp) = 0.0_wp |
---|
1037 | ENDIF |
---|
1038 | |
---|
1039 | ! |
---|
1040 | !-- If wall between gridpoint 2 and gridpoint 4, then |
---|
1041 | !-- Neumann boundary condition has to be applied |
---|
1042 | !-- (only one case as only building beneath is possible) |
---|
1043 | IF ( gp_outside_of_building(2) == 0 .AND. & |
---|
1044 | gp_outside_of_building(4) == 1 ) THEN |
---|
1045 | num_gp = num_gp + 1 |
---|
1046 | location(num_gp,1) = i * dx |
---|
1047 | location(num_gp,2) = (j+1) * dy |
---|
1048 | location(num_gp,3) = k * dz |
---|
1049 | ei(num_gp) = e(k+1,j+1,i) |
---|
1050 | dissi(num_gp) = diss(k+1,j+1,i) |
---|
1051 | de_dxi(num_gp) = de_dx(k+1,j+1,i) |
---|
1052 | de_dyi(num_gp) = de_dy(k+1,j+1,i) |
---|
1053 | de_dzi(num_gp) = 0.0_wp |
---|
1054 | ENDIF |
---|
1055 | |
---|
1056 | ! |
---|
1057 | !-- If wall between gridpoint 6 and gridpoint 8, then |
---|
1058 | !-- Neumann boundary condition has to be applied |
---|
1059 | !-- (only one case as only building beneath is possible) |
---|
1060 | IF ( gp_outside_of_building(6) == 0 .AND. & |
---|
1061 | gp_outside_of_building(8) == 1 ) THEN |
---|
1062 | num_gp = num_gp + 1 |
---|
1063 | location(num_gp,1) = (i+1) * dx |
---|
1064 | location(num_gp,2) = (j+1) * dy |
---|
1065 | location(num_gp,3) = k * dz |
---|
1066 | ei(num_gp) = e(k+1,j+1,i+1) |
---|
1067 | dissi(num_gp) = diss(k+1,j+1,i+1) |
---|
1068 | de_dxi(num_gp) = de_dx(k+1,j+1,i+1) |
---|
1069 | de_dyi(num_gp) = de_dy(k+1,j+1,i+1) |
---|
1070 | de_dzi(num_gp) = 0.0_wp |
---|
1071 | ENDIF |
---|
1072 | |
---|
1073 | ! |
---|
1074 | !-- Carry out the interpolation |
---|
1075 | IF ( num_gp == 1 ) THEN |
---|
1076 | ! |
---|
1077 | !-- If only one of the gridpoints is situated outside of the |
---|
1078 | !-- building, it follows that the values at the particle |
---|
1079 | !-- location are the same as the gridpoint values |
---|
1080 | e_int(n) = ei(num_gp) |
---|
1081 | diss_int(n) = dissi(num_gp) |
---|
1082 | de_dx_int(n) = de_dxi(num_gp) |
---|
1083 | de_dy_int(n) = de_dyi(num_gp) |
---|
1084 | de_dz_int(n) = de_dzi(num_gp) |
---|
1085 | ELSE IF ( num_gp > 1 ) THEN |
---|
1086 | |
---|
1087 | d_sum = 0.0_wp |
---|
1088 | ! |
---|
1089 | !-- Evaluation of the distances between the gridpoints |
---|
1090 | !-- contributing to the interpolated values, and the particle |
---|
1091 | !-- location |
---|
1092 | DO agp = 1, num_gp |
---|
1093 | d_gp_pl(agp) = ( particles(n)%x-location(agp,1) )**2 & |
---|
1094 | + ( particles(n)%y-location(agp,2) )**2 & |
---|
1095 | + ( zv(n)-location(agp,3) )**2 |
---|
1096 | d_sum = d_sum + d_gp_pl(agp) |
---|
1097 | ENDDO |
---|
1098 | |
---|
1099 | ! |
---|
1100 | !-- Finally the interpolation can be carried out |
---|
1101 | e_int(n) = 0.0_wp |
---|
1102 | diss_int(n) = 0.0_wp |
---|
1103 | de_dx_int(n) = 0.0_wp |
---|
1104 | de_dy_int(n) = 0.0_wp |
---|
1105 | de_dz_int(n) = 0.0_wp |
---|
1106 | DO agp = 1, num_gp |
---|
1107 | e_int(n) = e_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
---|
1108 | ei(agp) / ( (num_gp-1) * d_sum ) |
---|
1109 | diss_int(n) = diss_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
---|
1110 | dissi(agp) / ( (num_gp-1) * d_sum ) |
---|
1111 | de_dx_int(n) = de_dx_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
---|
1112 | de_dxi(agp) / ( (num_gp-1) * d_sum ) |
---|
1113 | de_dy_int(n) = de_dy_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
---|
1114 | de_dyi(agp) / ( (num_gp-1) * d_sum ) |
---|
1115 | de_dz_int(n) = de_dz_int(n) + ( d_sum - d_gp_pl(agp) ) * & |
---|
1116 | de_dzi(agp) / ( (num_gp-1) * d_sum ) |
---|
1117 | ENDDO |
---|
1118 | |
---|
1119 | ENDIF |
---|
1120 | |
---|
1121 | ENDIF |
---|
1122 | ENDDO |
---|
1123 | ENDIF |
---|
1124 | |
---|
1125 | DO nb = 0,7 |
---|
1126 | i = ip + block_offset(nb)%i_off |
---|
1127 | j = jp + block_offset(nb)%j_off |
---|
1128 | k = kp + block_offset(nb)%k_off |
---|
1129 | |
---|
1130 | DO n = start_index(nb), end_index(nb) |
---|
1131 | ! |
---|
1132 | !-- Vertical interpolation of the horizontally averaged SGS TKE and |
---|
1133 | !-- resolved-scale velocity variances and use the interpolated values |
---|
1134 | !-- to calculate the coefficient fs, which is a measure of the ratio |
---|
1135 | !-- of the subgrid-scale turbulent kinetic energy to the total amount |
---|
1136 | !-- of turbulent kinetic energy. |
---|
1137 | IF ( k == 0 ) THEN |
---|
1138 | e_mean_int = hom(0,1,8,0) |
---|
1139 | ELSE |
---|
1140 | e_mean_int = hom(k,1,8,0) + & |
---|
1141 | ( hom(k+1,1,8,0) - hom(k,1,8,0) ) / & |
---|
1142 | ( zu(k+1) - zu(k) ) * & |
---|
1143 | ( zv(n) - zu(k) ) |
---|
1144 | ENDIF |
---|
1145 | |
---|
1146 | kw = kp - 1 |
---|
1147 | |
---|
1148 | IF ( k == 0 ) THEN |
---|
1149 | aa = hom(k+1,1,30,0) * ( zv(n) / & |
---|
1150 | ( 0.5_wp * ( zu(k+1) - zu(k) ) ) ) |
---|
1151 | bb = hom(k+1,1,31,0) * ( zv(n) / & |
---|
1152 | ( 0.5_wp * ( zu(k+1) - zu(k) ) ) ) |
---|
1153 | cc = hom(kw+1,1,32,0) * ( zv(n) / & |
---|
1154 | ( 1.0_wp * ( zw(kw+1) - zw(kw) ) ) ) |
---|
1155 | ELSE |
---|
1156 | aa = hom(k,1,30,0) + ( hom(k+1,1,30,0) - hom(k,1,30,0) ) * & |
---|
1157 | ( ( zv(n) - zu(k) ) / ( zu(k+1) - zu(k) ) ) |
---|
1158 | bb = hom(k,1,31,0) + ( hom(k+1,1,31,0) - hom(k,1,31,0) ) * & |
---|
1159 | ( ( zv(n) - zu(k) ) / ( zu(k+1) - zu(k) ) ) |
---|
1160 | cc = hom(kw,1,32,0) + ( hom(kw+1,1,32,0)-hom(kw,1,32,0) ) * & |
---|
1161 | ( ( zv(n) - zw(kw) ) / ( zw(kw+1)-zw(kw) ) ) |
---|
1162 | ENDIF |
---|
1163 | |
---|
1164 | vv_int = ( 1.0_wp / 3.0_wp ) * ( aa + bb + cc ) |
---|
1165 | ! |
---|
1166 | !-- Needed to avoid NaN particle velocities. The value of 1.0 is just |
---|
1167 | !-- an educated guess for the given case. |
---|
1168 | IF ( vv_int + ( 2.0_wp / 3.0_wp ) * e_mean_int == 0.0_wp ) THEN |
---|
1169 | fs_int(n) = 1.0_wp |
---|
1170 | ELSE |
---|
1171 | fs_int(n) = ( 2.0_wp / 3.0_wp ) * e_mean_int / & |
---|
1172 | ( vv_int + ( 2.0_wp / 3.0_wp ) * e_mean_int ) |
---|
1173 | ENDIF |
---|
1174 | |
---|
1175 | ENDDO |
---|
1176 | ENDDO |
---|
1177 | |
---|
1178 | DO n = 1, number_of_particles |
---|
1179 | |
---|
1180 | rg(n,1) = random_gauss( iran_part, 5.0_wp ) |
---|
1181 | rg(n,2) = random_gauss( iran_part, 5.0_wp ) |
---|
1182 | rg(n,3) = random_gauss( iran_part, 5.0_wp ) |
---|
1183 | |
---|
1184 | ENDDO |
---|
1185 | |
---|
1186 | DO n = 1, number_of_particles |
---|
1187 | ! |
---|
1188 | !-- Calculate the Lagrangian timescale according to Weil et al. (2004). |
---|
1189 | lagr_timescale = ( 4.0_wp * e_int(n) ) / & |
---|
1190 | ( 3.0_wp * fs_int(n) * c_0 * diss_int(n) ) |
---|
1191 | |
---|
1192 | ! |
---|
1193 | !-- Calculate the next particle timestep. dt_gap is the time needed to |
---|
1194 | !-- complete the current LES timestep. |
---|
1195 | dt_gap = dt_3d - particles(n)%dt_sum |
---|
1196 | dt_particle(n) = MIN( dt_3d, 0.025_wp * lagr_timescale, dt_gap ) |
---|
1197 | |
---|
1198 | ! |
---|
1199 | !-- The particle timestep should not be too small in order to prevent |
---|
1200 | !-- the number of particle timesteps of getting too large |
---|
1201 | IF ( dt_particle(n) < dt_min_part .AND. dt_min_part < dt_gap ) THEN |
---|
1202 | dt_particle(n) = dt_min_part |
---|
1203 | ENDIF |
---|
1204 | |
---|
1205 | ! |
---|
1206 | !-- Calculate the SGS velocity components |
---|
1207 | IF ( particles(n)%age == 0.0_wp ) THEN |
---|
1208 | ! |
---|
1209 | !-- For new particles the SGS components are derived from the SGS |
---|
1210 | !-- TKE. Limit the Gaussian random number to the interval |
---|
1211 | !-- [-5.0*sigma, 5.0*sigma] in order to prevent the SGS velocities |
---|
1212 | !-- from becoming unrealistically large. |
---|
1213 | particles(n)%rvar1 = SQRT( 2.0_wp * sgs_wfu_part * e_int(n) ) * & |
---|
1214 | ( rg(n,1) - 1.0_wp ) |
---|
1215 | particles(n)%rvar2 = SQRT( 2.0_wp * sgs_wfv_part * e_int(n) ) * & |
---|
1216 | ( rg(n,2) - 1.0_wp ) |
---|
1217 | particles(n)%rvar3 = SQRT( 2.0_wp * sgs_wfw_part * e_int(n) ) * & |
---|
1218 | ( rg(n,3) - 1.0_wp ) |
---|
1219 | |
---|
1220 | ELSE |
---|
1221 | ! |
---|
1222 | !-- Restriction of the size of the new timestep: compared to the |
---|
1223 | !-- previous timestep the increase must not exceed 200% |
---|
1224 | |
---|
1225 | dt_particle_m = particles(n)%age - particles(n)%age_m |
---|
1226 | IF ( dt_particle(n) > 2.0_wp * dt_particle_m ) THEN |
---|
1227 | dt_particle(n) = 2.0_wp * dt_particle_m |
---|
1228 | ENDIF |
---|
1229 | |
---|
1230 | ! |
---|
1231 | !-- For old particles the SGS components are correlated with the |
---|
1232 | !-- values from the previous timestep. Random numbers have also to |
---|
1233 | !-- be limited (see above). |
---|
1234 | !-- As negative values for the subgrid TKE are not allowed, the |
---|
1235 | !-- change of the subgrid TKE with time cannot be smaller than |
---|
1236 | !-- -e_int(n)/dt_particle. This value is used as a lower boundary |
---|
1237 | !-- value for the change of TKE |
---|
1238 | |
---|
1239 | de_dt_min = - e_int(n) / dt_particle(n) |
---|
1240 | |
---|
1241 | de_dt = ( e_int(n) - particles(n)%e_m ) / dt_particle_m |
---|
1242 | |
---|
1243 | IF ( de_dt < de_dt_min ) THEN |
---|
1244 | de_dt = de_dt_min |
---|
1245 | ENDIF |
---|
1246 | |
---|
1247 | particles(n)%rvar1 = particles(n)%rvar1 - fs_int(n) * c_0 * & |
---|
1248 | diss_int(n) * particles(n)%rvar1 * dt_particle(n) / & |
---|
1249 | ( 4.0_wp * sgs_wfu_part * e_int(n) ) + & |
---|
1250 | ( 2.0_wp * sgs_wfu_part * de_dt * & |
---|
1251 | particles(n)%rvar1 / & |
---|
1252 | ( 2.0_wp * sgs_wfu_part * e_int(n) ) + & |
---|
1253 | de_dx_int(n) & |
---|
1254 | ) * dt_particle(n) / 2.0_wp + & |
---|
1255 | SQRT( fs_int(n) * c_0 * diss_int(n) ) * & |
---|
1256 | ( rg(n,1) - 1.0_wp ) * & |
---|
1257 | SQRT( dt_particle(n) ) |
---|
1258 | |
---|
1259 | particles(n)%rvar2 = particles(n)%rvar2 - fs_int(n) * c_0 * & |
---|
1260 | diss_int(n) * particles(n)%rvar2 * dt_particle(n) / & |
---|
1261 | ( 4.0_wp * sgs_wfv_part * e_int(n) ) + & |
---|
1262 | ( 2.0_wp * sgs_wfv_part * de_dt * & |
---|
1263 | particles(n)%rvar2 / & |
---|
1264 | ( 2.0_wp * sgs_wfv_part * e_int(n) ) + & |
---|
1265 | de_dy_int(n) & |
---|
1266 | ) * dt_particle(n) / 2.0_wp + & |
---|
1267 | SQRT( fs_int(n) * c_0 * diss_int(n) ) * & |
---|
1268 | ( rg(n,2) - 1.0_wp ) * & |
---|
1269 | SQRT( dt_particle(n) ) |
---|
1270 | |
---|
1271 | particles(n)%rvar3 = particles(n)%rvar3 - fs_int(n) * c_0 * & |
---|
1272 | diss_int(n) * particles(n)%rvar3 * dt_particle(n) / & |
---|
1273 | ( 4.0_wp * sgs_wfw_part * e_int(n) ) + & |
---|
1274 | ( 2.0_wp * sgs_wfw_part * de_dt * & |
---|
1275 | particles(n)%rvar3 / & |
---|
1276 | ( 2.0_wp * sgs_wfw_part * e_int(n) ) + & |
---|
1277 | de_dz_int(n) & |
---|
1278 | ) * dt_particle(n) / 2.0_wp + & |
---|
1279 | SQRT( fs_int(n) * c_0 * diss_int(n) ) * & |
---|
1280 | ( rg(n,3) - 1.0_wp ) * & |
---|
1281 | SQRT( dt_particle(n) ) |
---|
1282 | |
---|
1283 | ENDIF |
---|
1284 | u_int(n) = u_int(n) + particles(n)%rvar1 |
---|
1285 | v_int(n) = v_int(n) + particles(n)%rvar2 |
---|
1286 | w_int(n) = w_int(n) + particles(n)%rvar3 |
---|
1287 | |
---|
1288 | ! |
---|
1289 | !-- Store the SGS TKE of the current timelevel which is needed for |
---|
1290 | !-- for calculating the SGS particle velocities at the next timestep |
---|
1291 | particles(n)%e_m = e_int(n) |
---|
1292 | ENDDO |
---|
1293 | |
---|
1294 | ELSE |
---|
1295 | ! |
---|
1296 | !-- If no SGS velocities are used, only the particle timestep has to |
---|
1297 | !-- be set |
---|
1298 | dt_particle = dt_3d |
---|
1299 | |
---|
1300 | ENDIF |
---|
1301 | ! |
---|
1302 | !-- Store the old age of the particle ( needed to prevent that a |
---|
1303 | !-- particle crosses several PEs during one timestep, and for the |
---|
1304 | !-- evaluation of the subgrid particle velocity fluctuations ) |
---|
1305 | particles(1:number_of_particles)%age_m = particles(1:number_of_particles)%age |
---|
1306 | |
---|
1307 | dens_ratio = particle_groups(particles(1:number_of_particles)%group)%density_ratio |
---|
1308 | |
---|
1309 | IF ( ANY( dens_ratio == 0.0_wp ) ) THEN |
---|
1310 | DO n = 1, number_of_particles |
---|
1311 | |
---|
1312 | ! |
---|
1313 | !-- Particle advection |
---|
1314 | IF ( dens_ratio(n) == 0.0_wp ) THEN |
---|
1315 | ! |
---|
1316 | !-- Pure passive transport (without particle inertia) |
---|
1317 | particles(n)%x = xv(n) + u_int(n) * dt_particle(n) |
---|
1318 | particles(n)%y = yv(n) + v_int(n) * dt_particle(n) |
---|
1319 | particles(n)%z = zv(n) + w_int(n) * dt_particle(n) |
---|
1320 | |
---|
1321 | particles(n)%speed_x = u_int(n) |
---|
1322 | particles(n)%speed_y = v_int(n) |
---|
1323 | particles(n)%speed_z = w_int(n) |
---|
1324 | |
---|
1325 | ELSE |
---|
1326 | ! |
---|
1327 | !-- Transport of particles with inertia |
---|
1328 | particles(n)%x = particles(n)%x + particles(n)%speed_x * & |
---|
1329 | dt_particle(n) |
---|
1330 | particles(n)%y = particles(n)%y + particles(n)%speed_y * & |
---|
1331 | dt_particle(n) |
---|
1332 | particles(n)%z = particles(n)%z + particles(n)%speed_z * & |
---|
1333 | dt_particle(n) |
---|
1334 | |
---|
1335 | ! |
---|
1336 | !-- Update of the particle velocity |
---|
1337 | IF ( cloud_droplets ) THEN |
---|
1338 | exp_arg = 4.5_wp * dens_ratio(n) * molecular_viscosity / & |
---|
1339 | ( particles(n)%radius )**2 * & |
---|
1340 | ( 1.0_wp + 0.15_wp * ( 2.0_wp * particles(n)%radius & |
---|
1341 | * SQRT( ( u_int(n) - particles(n)%speed_x )**2 + & |
---|
1342 | ( v_int(n) - particles(n)%speed_y )**2 + & |
---|
1343 | ( w_int(n) - particles(n)%speed_z )**2 ) & |
---|
1344 | / molecular_viscosity )**0.687_wp & |
---|
1345 | ) |
---|
1346 | |
---|
1347 | exp_term = EXP( -exp_arg * dt_particle(n) ) |
---|
1348 | ELSEIF ( use_sgs_for_particles ) THEN |
---|
1349 | exp_arg = particle_groups(particles(n)%group)%exp_arg |
---|
1350 | exp_term = EXP( -exp_arg * dt_particle(n) ) |
---|
1351 | ELSE |
---|
1352 | exp_arg = particle_groups(particles(n)%group)%exp_arg |
---|
1353 | exp_term = particle_groups(particles(n)%group)%exp_term |
---|
1354 | ENDIF |
---|
1355 | particles(n)%speed_x = particles(n)%speed_x * exp_term + & |
---|
1356 | u_int(n) * ( 1.0_wp - exp_term ) |
---|
1357 | particles(n)%speed_y = particles(n)%speed_y * exp_term + & |
---|
1358 | v_int(n) * ( 1.0_wp - exp_term ) |
---|
1359 | particles(n)%speed_z = particles(n)%speed_z * exp_term + & |
---|
1360 | ( w_int(n) - ( 1.0_wp - dens_ratio(n) ) * & |
---|
1361 | g / exp_arg ) * ( 1.0_wp - exp_term ) |
---|
1362 | ENDIF |
---|
1363 | |
---|
1364 | ENDDO |
---|
1365 | |
---|
1366 | ELSE |
---|
1367 | |
---|
1368 | DO n = 1, number_of_particles |
---|
1369 | |
---|
1370 | !-- Transport of particles with inertia |
---|
1371 | particles(n)%x = xv(n) + particles(n)%speed_x * dt_particle(n) |
---|
1372 | particles(n)%y = yv(n) + particles(n)%speed_y * dt_particle(n) |
---|
1373 | particles(n)%z = zv(n) + particles(n)%speed_z * dt_particle(n) |
---|
1374 | ! |
---|
1375 | !-- Update of the particle velocity |
---|
1376 | IF ( cloud_droplets ) THEN |
---|
1377 | |
---|
1378 | exp_arg = 4.5_wp * dens_ratio(n) * molecular_viscosity / & |
---|
1379 | ( particles(n)%radius )**2 * & |
---|
1380 | ( 1.0_wp + 0.15_wp * ( 2.0_wp * particles(n)%radius * & |
---|
1381 | SQRT( ( u_int(n) - particles(n)%speed_x )**2 + & |
---|
1382 | ( v_int(n) - particles(n)%speed_y )**2 + & |
---|
1383 | ( w_int(n) - particles(n)%speed_z )**2 ) / & |
---|
1384 | molecular_viscosity )**0.687_wp & |
---|
1385 | ) |
---|
1386 | |
---|
1387 | exp_term = EXP( -exp_arg * dt_particle(n) ) |
---|
1388 | ELSEIF ( use_sgs_for_particles ) THEN |
---|
1389 | exp_arg = particle_groups(particles(n)%group)%exp_arg |
---|
1390 | exp_term = EXP( -exp_arg * dt_particle(n) ) |
---|
1391 | ELSE |
---|
1392 | exp_arg = particle_groups(particles(n)%group)%exp_arg |
---|
1393 | exp_term = particle_groups(particles(n)%group)%exp_term |
---|
1394 | ENDIF |
---|
1395 | particles(n)%speed_x = particles(n)%speed_x * exp_term + & |
---|
1396 | u_int(n) * ( 1.0_wp - exp_term ) |
---|
1397 | particles(n)%speed_y = particles(n)%speed_y * exp_term + & |
---|
1398 | v_int(n) * ( 1.0_wp - exp_term ) |
---|
1399 | particles(n)%speed_z = particles(n)%speed_z * exp_term + & |
---|
1400 | ( w_int(n) - ( 1.0_wp - dens_ratio(n) ) * g / & |
---|
1401 | exp_arg ) * ( 1.0_wp - exp_term ) |
---|
1402 | ENDDO |
---|
1403 | |
---|
1404 | ENDIF |
---|
1405 | |
---|
1406 | DO n = 1, number_of_particles |
---|
1407 | ! |
---|
1408 | !-- Increment the particle age and the total time that the particle |
---|
1409 | !-- has advanced within the particle timestep procedure |
---|
1410 | particles(n)%age = particles(n)%age + dt_particle(n) |
---|
1411 | particles(n)%dt_sum = particles(n)%dt_sum + dt_particle(n) |
---|
1412 | |
---|
1413 | ! |
---|
1414 | !-- Check whether there is still a particle that has not yet completed |
---|
1415 | !-- the total LES timestep |
---|
1416 | IF ( ( dt_3d - particles(n)%dt_sum ) > 1E-8_wp ) THEN |
---|
1417 | dt_3d_reached_l = .FALSE. |
---|
1418 | ENDIF |
---|
1419 | |
---|
1420 | ENDDO |
---|
1421 | |
---|
1422 | CALL cpu_log( log_point_s(44), 'lpm_advec', 'pause' ) |
---|
1423 | |
---|
1424 | END SUBROUTINE lpm_advec |
---|