1 | MODULE advec_ws |
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2 | |
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3 | !--------------------------------------------------------------------------------! |
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4 | ! This file is part of PALM. |
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5 | ! |
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6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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8 | ! either version 3 of the License, or (at your option) any later version. |
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9 | ! |
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10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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13 | ! |
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14 | ! You should have received a copy of the GNU General Public License along with |
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15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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16 | ! |
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17 | ! Copyright 1997-2012 Leibniz University Hannover |
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18 | !--------------------------------------------------------------------------------! |
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19 | ! |
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20 | ! Current revisions: |
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21 | ! ------------------ |
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22 | ! wall_flags_00 introduced, which holds bits 32-... |
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23 | ! |
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24 | ! Former revisions: |
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25 | ! ----------------- |
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26 | ! $Id: advec_ws.f90 1221 2013-09-10 08:59:13Z raasch $ |
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27 | ! |
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28 | ! 1128 2013-04-12 06:19:32Z raasch |
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29 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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30 | ! j_north |
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31 | ! |
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32 | ! 1115 2013-03-26 18:16:16Z hoffmann |
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33 | ! calculation of qr and nr is restricted to precipitation |
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34 | ! |
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35 | ! 1053 2012-11-13 17:11:03Z hoffmann |
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36 | ! necessary expansions according to the two new prognostic equations (nr, qr) |
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37 | ! of the two-moment cloud physics scheme: |
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38 | ! +flux_l_*, flux_s_*, diss_l_*, diss_s_*, sums_ws*s_ws_l |
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39 | ! |
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40 | ! 1036 2012-10-22 13:43:42Z raasch |
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41 | ! code put under GPL (PALM 3.9) |
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42 | ! |
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43 | ! 1027 2012-10-15 17:18:39Z suehring |
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44 | ! Bugfix in calculation indices k_mm, k_pp in accelerator version |
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45 | ! |
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46 | ! 1019 2012-09-28 06:46:45Z raasch |
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47 | ! small change in comment lines |
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48 | ! |
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49 | ! 1015 2012-09-27 09:23:24Z raasch |
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50 | ! accelerator versions (*_acc) added |
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51 | ! |
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52 | ! 1010 2012-09-20 07:59:54Z raasch |
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53 | ! cpp switch __nopointer added for pointer free version |
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54 | ! |
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55 | ! 888 2012-04-20 15:03:46Z suehring |
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56 | ! Number of IBITS() calls with identical arguments is reduced. |
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57 | ! |
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58 | ! 862 2012-03-26 14:21:38Z suehring |
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59 | ! ws-scheme also work with topography in combination with vector version. |
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60 | ! ws-scheme also work with outflow boundaries in combination with |
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61 | ! vector version. |
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62 | ! Degradation of the applied order of scheme is now steered by multiplying with |
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63 | ! Integer wall_flags_0. 2nd order scheme, WS3 and WS5 are calculated on each |
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64 | ! grid point and mulitplied with the appropriate flag. |
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65 | ! 2nd order numerical dissipation term changed. Now the appropriate 2nd order |
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66 | ! term derived according to the 4th and 6th order terms is applied. It turns |
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67 | ! out that diss_2nd does not provide sufficient dissipation near walls. |
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68 | ! Therefore, the function diss_2nd is removed. |
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69 | ! Near walls a divergence correction is necessary to overcome numerical |
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70 | ! instabilities due to too less divergence reduction of the velocity field. |
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71 | ! boundary_flags and logicals steering the degradation are removed. |
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72 | ! Empty SUBROUTINE local_diss removed. |
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73 | ! Further formatting adjustments. |
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74 | ! |
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75 | ! 801 2012-01-10 17:30:36Z suehring |
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76 | ! Bugfix concerning OpenMP parallelization. Summation of sums_wsus_ws_l, |
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77 | ! sums_wsvs_ws_l, sums_us2_ws_l, sums_vs2_ws_l, sums_ws2_ws_l, sums_wspts_ws_l, |
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78 | ! sums_wsqs_ws_l, sums_wssas_ws_l is now thread-safe by adding an additional |
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79 | ! dimension. |
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80 | ! |
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81 | ! 743 2011-08-18 16:10:16Z suehring |
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82 | ! Evaluation of turbulent fluxes with WS-scheme only for the whole model |
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83 | ! domain. Therefor dimension of arrays needed for statistical evaluation |
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84 | ! decreased. |
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85 | ! |
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86 | ! 736 2011-08-17 14:13:26Z suehring |
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87 | ! Bugfix concerning OpenMP parallelization. i_omp introduced, because first |
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88 | ! index where fluxes on left side have to be calculated explicitly is |
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89 | ! different on each thread. Furthermore the swapping of fluxes is now |
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90 | ! thread-safe by adding an additional dimension. |
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91 | ! |
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92 | ! 713 2011-03-30 14:21:21Z suehring |
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93 | ! File reformatted. |
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94 | ! Bugfix in vertical advection of w concerning the optimized version for |
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95 | ! vector architecture. |
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96 | ! Constants adv_mom_3, adv_mom_5, adv_sca_5, adv_sca_3 reformulated as |
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97 | ! broken numbers. |
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98 | ! |
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99 | ! 709 2011-03-30 09:31:40Z raasch |
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100 | ! formatting adjustments |
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101 | ! |
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102 | ! 705 2011-03-25 11:21:43 Z suehring $ |
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103 | ! Bugfix in declaration of logicals concerning outflow boundaries. |
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104 | ! |
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105 | ! 411 2009-12-11 12:31:43 Z suehring |
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106 | ! Allocation of weight_substep moved to init_3d_model. |
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107 | ! Declaration of ws_scheme_sca and ws_scheme_mom moved to check_parameters. |
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108 | ! Setting bc for the horizontal velocity variances added (moved from |
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109 | ! flow_statistics). |
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110 | ! |
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111 | ! Initial revision |
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112 | ! |
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113 | ! 411 2009-12-11 12:31:43 Z suehring |
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114 | ! |
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115 | ! Description: |
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116 | ! ------------ |
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117 | ! Advection scheme for scalars and momentum using the flux formulation of |
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118 | ! Wicker and Skamarock 5th order. Additionally the module contains of a |
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119 | ! routine using for initialisation and steering of the statical evaluation. |
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120 | ! The computation of turbulent fluxes takes place inside the advection |
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121 | ! routines. |
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122 | ! Near non-cyclic boundaries the order of the applied advection scheme is |
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123 | ! degraded. |
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124 | ! A divergence correction is applied. It is necessary for topography, since |
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125 | ! the divergence is not sufficiently reduced, resulting in erroneous fluxes and |
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126 | ! partly numerical instabilities. |
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127 | !-----------------------------------------------------------------------------! |
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128 | |
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129 | PRIVATE |
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130 | PUBLIC advec_s_ws, advec_s_ws_acc, advec_u_ws, advec_u_ws_acc, & |
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131 | advec_v_ws, advec_v_ws_acc, advec_w_ws, advec_w_ws_acc, & |
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132 | ws_init, ws_statistics |
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133 | |
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134 | INTERFACE ws_init |
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135 | MODULE PROCEDURE ws_init |
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136 | END INTERFACE ws_init |
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137 | |
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138 | INTERFACE ws_statistics |
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139 | MODULE PROCEDURE ws_statistics |
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140 | END INTERFACE ws_statistics |
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141 | |
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142 | INTERFACE advec_s_ws |
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143 | MODULE PROCEDURE advec_s_ws |
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144 | MODULE PROCEDURE advec_s_ws_ij |
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145 | END INTERFACE advec_s_ws |
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146 | |
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147 | INTERFACE advec_u_ws |
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148 | MODULE PROCEDURE advec_u_ws |
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149 | MODULE PROCEDURE advec_u_ws_ij |
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150 | END INTERFACE advec_u_ws |
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151 | |
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152 | INTERFACE advec_u_ws_acc |
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153 | MODULE PROCEDURE advec_u_ws_acc |
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154 | END INTERFACE advec_u_ws_acc |
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155 | |
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156 | INTERFACE advec_v_ws |
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157 | MODULE PROCEDURE advec_v_ws |
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158 | MODULE PROCEDURE advec_v_ws_ij |
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159 | END INTERFACE advec_v_ws |
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160 | |
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161 | INTERFACE advec_v_ws_acc |
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162 | MODULE PROCEDURE advec_v_ws_acc |
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163 | END INTERFACE advec_v_ws_acc |
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164 | |
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165 | INTERFACE advec_w_ws |
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166 | MODULE PROCEDURE advec_w_ws |
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167 | MODULE PROCEDURE advec_w_ws_ij |
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168 | END INTERFACE advec_w_ws |
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169 | |
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170 | INTERFACE advec_w_ws_acc |
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171 | MODULE PROCEDURE advec_w_ws_acc |
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172 | END INTERFACE advec_w_ws_acc |
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173 | |
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174 | CONTAINS |
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175 | |
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176 | |
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177 | !------------------------------------------------------------------------------! |
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178 | ! Initialization of WS-scheme |
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179 | !------------------------------------------------------------------------------! |
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180 | SUBROUTINE ws_init |
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181 | |
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182 | USE arrays_3d |
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183 | USE constants |
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184 | USE control_parameters |
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185 | USE indices |
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186 | USE pegrid |
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187 | USE statistics |
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188 | |
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189 | ! |
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190 | !-- Set the appropriate factors for scalar and momentum advection. |
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191 | adv_sca_5 = 1./60. |
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192 | adv_sca_3 = 1./12. |
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193 | adv_sca_1 = 1./2. |
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194 | adv_mom_5 = 1./120. |
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195 | adv_mom_3 = 1./24. |
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196 | adv_mom_1 = 1./4. |
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197 | ! |
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198 | !-- Arrays needed for statical evaluation of fluxes. |
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199 | IF ( ws_scheme_mom ) THEN |
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200 | |
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201 | ALLOCATE( sums_wsus_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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202 | sums_wsvs_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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203 | sums_us2_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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204 | sums_vs2_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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205 | sums_ws2_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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206 | |
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207 | sums_wsus_ws_l = 0.0 |
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208 | sums_wsvs_ws_l = 0.0 |
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209 | sums_us2_ws_l = 0.0 |
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210 | sums_vs2_ws_l = 0.0 |
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211 | sums_ws2_ws_l = 0.0 |
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212 | |
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213 | ENDIF |
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214 | |
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215 | IF ( ws_scheme_sca ) THEN |
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216 | |
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217 | ALLOCATE( sums_wspts_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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218 | sums_wspts_ws_l = 0.0 |
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219 | |
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220 | IF ( humidity .OR. passive_scalar ) THEN |
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221 | ALLOCATE( sums_wsqs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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222 | sums_wsqs_ws_l = 0.0 |
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223 | ENDIF |
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224 | |
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225 | IF ( cloud_physics .AND. icloud_scheme == 0 .AND. & |
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226 | precipitation ) THEN |
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227 | ALLOCATE( sums_wsqrs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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228 | ALLOCATE( sums_wsnrs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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229 | sums_wsqrs_ws_l = 0.0 |
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230 | sums_wsnrs_ws_l = 0.0 |
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231 | ENDIF |
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232 | |
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233 | IF ( ocean ) THEN |
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234 | ALLOCATE( sums_wssas_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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235 | sums_wssas_ws_l = 0.0 |
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236 | ENDIF |
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237 | |
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238 | ENDIF |
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239 | |
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240 | ! |
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241 | !-- Arrays needed for reasons of speed optimization for cache version. |
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242 | !-- For the vector version the buffer arrays are not necessary, |
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243 | !-- because the the fluxes can swapped directly inside the loops of the |
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244 | !-- advection routines. |
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245 | IF ( loop_optimization /= 'vector' ) THEN |
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246 | |
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247 | IF ( ws_scheme_mom ) THEN |
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248 | |
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249 | ALLOCATE( flux_s_u(nzb+1:nzt,0:threads_per_task-1), & |
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250 | flux_s_v(nzb+1:nzt,0:threads_per_task-1), & |
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251 | flux_s_w(nzb+1:nzt,0:threads_per_task-1), & |
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252 | diss_s_u(nzb+1:nzt,0:threads_per_task-1), & |
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253 | diss_s_v(nzb+1:nzt,0:threads_per_task-1), & |
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254 | diss_s_w(nzb+1:nzt,0:threads_per_task-1) ) |
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255 | ALLOCATE( flux_l_u(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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256 | flux_l_v(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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257 | flux_l_w(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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258 | diss_l_u(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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259 | diss_l_v(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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260 | diss_l_w(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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261 | |
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262 | ENDIF |
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263 | |
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264 | IF ( ws_scheme_sca ) THEN |
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265 | |
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266 | ALLOCATE( flux_s_pt(nzb+1:nzt,0:threads_per_task-1), & |
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267 | flux_s_e(nzb+1:nzt,0:threads_per_task-1), & |
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268 | diss_s_pt(nzb+1:nzt,0:threads_per_task-1), & |
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269 | diss_s_e(nzb+1:nzt,0:threads_per_task-1) ) |
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270 | ALLOCATE( flux_l_pt(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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271 | flux_l_e(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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272 | diss_l_pt(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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273 | diss_l_e(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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274 | |
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275 | IF ( humidity .OR. passive_scalar ) THEN |
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276 | ALLOCATE( flux_s_q(nzb+1:nzt,0:threads_per_task-1), & |
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277 | diss_s_q(nzb+1:nzt,0:threads_per_task-1) ) |
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278 | ALLOCATE( flux_l_q(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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279 | diss_l_q(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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280 | ENDIF |
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281 | |
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282 | IF ( cloud_physics .AND. icloud_scheme == 0 .AND. & |
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283 | precipitation ) THEN |
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284 | ALLOCATE( flux_s_qr(nzb+1:nzt,0:threads_per_task-1), & |
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285 | diss_s_qr(nzb+1:nzt,0:threads_per_task-1), & |
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286 | flux_s_nr(nzb+1:nzt,0:threads_per_task-1), & |
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287 | diss_s_nr(nzb+1:nzt,0:threads_per_task-1) ) |
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288 | ALLOCATE( flux_l_qr(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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289 | diss_l_qr(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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290 | flux_l_nr(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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291 | diss_l_nr(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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292 | ENDIF |
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293 | |
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294 | IF ( ocean ) THEN |
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295 | ALLOCATE( flux_s_sa(nzb+1:nzt,0:threads_per_task-1), & |
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296 | diss_s_sa(nzb+1:nzt,0:threads_per_task-1) ) |
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297 | ALLOCATE( flux_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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298 | diss_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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299 | ENDIF |
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300 | |
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301 | ENDIF |
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302 | |
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303 | ENDIF |
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304 | |
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305 | END SUBROUTINE ws_init |
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306 | |
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307 | |
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308 | !------------------------------------------------------------------------------! |
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309 | ! Initialize variables used for storing statistic quantities (fluxes, variances) |
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310 | !------------------------------------------------------------------------------! |
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311 | SUBROUTINE ws_statistics |
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312 | |
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313 | USE control_parameters |
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314 | USE statistics |
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315 | |
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316 | IMPLICIT NONE |
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317 | |
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318 | ! |
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319 | !-- The arrays needed for statistical evaluation are set to to 0 at the |
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320 | !-- beginning of prognostic_equations. |
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321 | IF ( ws_scheme_mom ) THEN |
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322 | sums_wsus_ws_l = 0.0 |
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323 | sums_wsvs_ws_l = 0.0 |
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324 | sums_us2_ws_l = 0.0 |
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325 | sums_vs2_ws_l = 0.0 |
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326 | sums_ws2_ws_l = 0.0 |
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327 | ENDIF |
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328 | |
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329 | IF ( ws_scheme_sca ) THEN |
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330 | sums_wspts_ws_l = 0.0 |
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331 | IF ( humidity .OR. passive_scalar ) sums_wsqs_ws_l = 0.0 |
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332 | IF ( cloud_physics .AND. icloud_scheme == 0 .AND. & |
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333 | precipitation ) THEN |
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334 | sums_wsqrs_ws_l = 0.0 |
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335 | sums_wsnrs_ws_l = 0.0 |
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336 | ENDIF |
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337 | IF ( ocean ) sums_wssas_ws_l = 0.0 |
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338 | |
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339 | ENDIF |
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340 | |
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341 | END SUBROUTINE ws_statistics |
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342 | |
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343 | |
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344 | !------------------------------------------------------------------------------! |
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345 | ! Scalar advection - Call for grid point i,j |
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346 | !------------------------------------------------------------------------------! |
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347 | SUBROUTINE advec_s_ws_ij( i, j, sk, sk_char, swap_flux_y_local, & |
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348 | swap_diss_y_local, swap_flux_x_local, & |
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349 | swap_diss_x_local, i_omp, tn ) |
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350 | |
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351 | USE arrays_3d |
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352 | USE constants |
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353 | USE control_parameters |
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354 | USE grid_variables |
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355 | USE indices |
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356 | USE pegrid |
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357 | USE statistics |
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358 | |
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359 | IMPLICIT NONE |
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360 | |
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361 | INTEGER :: i, ibit0, ibit1, ibit2, ibit3, ibit4, ibit5, ibit6, & |
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362 | ibit7, ibit8, i_omp, j, k, k_mm, k_pp, k_ppp, tn |
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363 | REAL :: diss_d, div, flux_d, u_comp, v_comp |
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364 | #if defined( __nopointer ) |
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365 | REAL, DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk |
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366 | #else |
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367 | REAL, DIMENSION(:,:,:), POINTER :: sk |
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368 | #endif |
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369 | REAL, DIMENSION(nzb:nzt+1) :: diss_n, diss_r, diss_t, flux_n, & |
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370 | flux_r, flux_t |
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371 | REAL, DIMENSION(nzb+1:nzt,0:threads_per_task-1) :: swap_diss_y_local, & |
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372 | swap_flux_y_local |
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373 | REAL, DIMENSION(nzb+1:nzt,nys:nyn,0:threads_per_task-1) :: & |
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374 | swap_diss_x_local, & |
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375 | swap_flux_x_local |
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376 | CHARACTER (LEN = *), INTENT(IN) :: sk_char |
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377 | |
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378 | ! |
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379 | !-- Compute southside fluxes of the respective PE bounds. |
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380 | IF ( j == nys ) THEN |
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381 | ! |
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382 | !-- Up to the top of the highest topography. |
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383 | DO k = nzb+1, nzb_max |
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384 | |
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385 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
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386 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
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387 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
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388 | |
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389 | v_comp = v(k,j,i) - v_gtrans |
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390 | swap_flux_y_local(k,tn) = v_comp * ( & |
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391 | ( 37.0 * ibit5 * adv_sca_5 & |
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392 | + 7.0 * ibit4 * adv_sca_3 & |
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393 | + ibit3 * adv_sca_1 & |
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394 | ) * & |
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395 | ( sk(k,j,i) + sk(k,j-1,i) ) & |
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396 | - ( 8.0 * ibit5 * adv_sca_5 & |
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397 | + ibit4 * adv_sca_3 & |
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398 | ) * & |
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399 | ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
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400 | + ( ibit5 * adv_sca_5 & |
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401 | ) * & |
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402 | ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
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403 | ) |
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404 | |
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405 | swap_diss_y_local(k,tn) = -ABS( v_comp ) * ( & |
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406 | ( 10.0 * ibit5 * adv_sca_5 & |
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407 | + 3.0 * ibit4 * adv_sca_3 & |
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408 | + ibit3 * adv_sca_1 & |
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409 | ) * & |
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410 | ( sk(k,j,i) - sk(k,j-1,i) ) & |
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411 | - ( 5.0 * ibit5 * adv_sca_5 & |
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412 | + ibit4 * adv_sca_3 & |
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413 | ) * & |
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414 | ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
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415 | + ( ibit5 * adv_sca_5 & |
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416 | ) * & |
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417 | ( sk(k,j+2,i) - sk(k,j-3,i) ) & |
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418 | ) |
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419 | |
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420 | ENDDO |
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421 | ! |
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422 | !-- Above to the top of the highest topography. No degradation necessary. |
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423 | DO k = nzb_max+1, nzt |
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424 | |
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425 | v_comp = v(k,j,i) - v_gtrans |
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426 | swap_flux_y_local(k,tn) = v_comp * ( & |
---|
427 | 37.0 * ( sk(k,j,i) + sk(k,j-1,i) ) & |
---|
428 | - 8.0 * ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
---|
429 | + ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
---|
430 | ) * adv_sca_5 |
---|
431 | swap_diss_y_local(k,tn) = -ABS( v_comp ) * ( & |
---|
432 | 10.0 * ( sk(k,j,i) - sk(k,j-1,i) ) & |
---|
433 | - 5.0 * ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
---|
434 | + sk(k,j+2,i) - sk(k,j-3,i) & |
---|
435 | ) * adv_sca_5 |
---|
436 | |
---|
437 | ENDDO |
---|
438 | |
---|
439 | ENDIF |
---|
440 | ! |
---|
441 | !-- Compute leftside fluxes of the respective PE bounds. |
---|
442 | IF ( i == i_omp ) THEN |
---|
443 | |
---|
444 | DO k = nzb+1, nzb_max |
---|
445 | |
---|
446 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
---|
447 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
---|
448 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
---|
449 | |
---|
450 | u_comp = u(k,j,i) - u_gtrans |
---|
451 | swap_flux_x_local(k,j,tn) = u_comp * ( & |
---|
452 | ( 37.0 * ibit2 * adv_sca_5 & |
---|
453 | + 7.0 * ibit1 * adv_sca_3 & |
---|
454 | + ibit0 * adv_sca_1 & |
---|
455 | ) * & |
---|
456 | ( sk(k,j,i) + sk(k,j,i-1) ) & |
---|
457 | - ( 8.0 * ibit2 * adv_sca_5 & |
---|
458 | + ibit1 * adv_sca_3 & |
---|
459 | ) * & |
---|
460 | ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
---|
461 | + ( ibit2 * adv_sca_5 & |
---|
462 | ) * & |
---|
463 | ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
---|
464 | ) |
---|
465 | |
---|
466 | swap_diss_x_local(k,j,tn) = -ABS( u_comp ) * ( & |
---|
467 | ( 10.0 * ibit2 * adv_sca_5 & |
---|
468 | + 3.0 * ibit1 * adv_sca_3 & |
---|
469 | + ibit0 * adv_sca_1 & |
---|
470 | ) * & |
---|
471 | ( sk(k,j,i) - sk(k,j,i-1) ) & |
---|
472 | - ( 5.0 * ibit2 * adv_sca_5 & |
---|
473 | + ibit1 * adv_sca_3 & |
---|
474 | ) * & |
---|
475 | ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
---|
476 | + ( ibit2 * adv_sca_5 & |
---|
477 | ) * & |
---|
478 | ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
---|
479 | ) |
---|
480 | |
---|
481 | ENDDO |
---|
482 | |
---|
483 | DO k = nzb_max+1, nzt |
---|
484 | |
---|
485 | u_comp = u(k,j,i) - u_gtrans |
---|
486 | swap_flux_x_local(k,j,tn) = u_comp * ( & |
---|
487 | 37.0 * ( sk(k,j,i) + sk(k,j,i-1) ) & |
---|
488 | - 8.0 * ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
---|
489 | + ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
---|
490 | ) * adv_sca_5 |
---|
491 | |
---|
492 | swap_diss_x_local(k,j,tn) = -ABS( u_comp ) * ( & |
---|
493 | 10.0 * ( sk(k,j,i) - sk(k,j,i-1) ) & |
---|
494 | - 5.0 * ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
---|
495 | + ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
---|
496 | ) * adv_sca_5 |
---|
497 | |
---|
498 | ENDDO |
---|
499 | |
---|
500 | ENDIF |
---|
501 | |
---|
502 | flux_t(0) = 0.0 |
---|
503 | diss_t(0) = 0.0 |
---|
504 | flux_d = 0.0 |
---|
505 | diss_d = 0.0 |
---|
506 | ! |
---|
507 | !-- Now compute the fluxes and tendency terms for the horizontal and |
---|
508 | !-- vertical parts up to the top of the highest topography. |
---|
509 | DO k = nzb+1, nzb_max |
---|
510 | ! |
---|
511 | !-- Note: It is faster to conduct all multiplications explicitly, e.g. |
---|
512 | !-- * adv_sca_5 ... than to determine a factor and multiplicate the |
---|
513 | !-- flux at the end. |
---|
514 | |
---|
515 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
---|
516 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
---|
517 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
---|
518 | |
---|
519 | u_comp = u(k,j,i+1) - u_gtrans |
---|
520 | flux_r(k) = u_comp * ( & |
---|
521 | ( 37.0 * ibit2 * adv_sca_5 & |
---|
522 | + 7.0 * ibit1 * adv_sca_3 & |
---|
523 | + ibit0 * adv_sca_1 & |
---|
524 | ) * & |
---|
525 | ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
526 | - ( 8.0 * ibit2 * adv_sca_5 & |
---|
527 | + ibit1 * adv_sca_3 & |
---|
528 | ) * & |
---|
529 | ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
---|
530 | + ( ibit2 * adv_sca_5 & |
---|
531 | ) * & |
---|
532 | ( sk(k,j,i+3) + sk(k,j,i-2) ) & |
---|
533 | ) |
---|
534 | |
---|
535 | diss_r(k) = -ABS( u_comp ) * ( & |
---|
536 | ( 10.0 * ibit2 * adv_sca_5 & |
---|
537 | + 3.0 * ibit1 * adv_sca_3 & |
---|
538 | + ibit0 * adv_sca_1 & |
---|
539 | ) * & |
---|
540 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
541 | - ( 5.0 * ibit2 * adv_sca_5 & |
---|
542 | + ibit1 * adv_sca_3 & |
---|
543 | ) * & |
---|
544 | ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
---|
545 | + ( ibit2 * adv_sca_5 & |
---|
546 | ) * & |
---|
547 | ( sk(k,j,i+3) - sk(k,j,i-2) ) & |
---|
548 | ) |
---|
549 | |
---|
550 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
---|
551 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
---|
552 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
---|
553 | |
---|
554 | v_comp = v(k,j+1,i) - v_gtrans |
---|
555 | flux_n(k) = v_comp * ( & |
---|
556 | ( 37.0 * ibit5 * adv_sca_5 & |
---|
557 | + 7.0 * ibit4 * adv_sca_3 & |
---|
558 | + ibit3 * adv_sca_1 & |
---|
559 | ) * & |
---|
560 | ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
561 | - ( 8.0 * ibit5 * adv_sca_5 & |
---|
562 | + ibit4 * adv_sca_3 & |
---|
563 | ) * & |
---|
564 | ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
---|
565 | + ( ibit5 * adv_sca_5 & |
---|
566 | ) * & |
---|
567 | ( sk(k,j+3,i) + sk(k,j-2,i) ) & |
---|
568 | ) |
---|
569 | |
---|
570 | diss_n(k) = -ABS( v_comp ) * ( & |
---|
571 | ( 10.0 * ibit5 * adv_sca_5 & |
---|
572 | + 3.0 * ibit4 * adv_sca_3 & |
---|
573 | + ibit3 * adv_sca_1 & |
---|
574 | ) * & |
---|
575 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
576 | - ( 5.0 * ibit5 * adv_sca_5 & |
---|
577 | + ibit4 * adv_sca_3 & |
---|
578 | ) * & |
---|
579 | ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
---|
580 | + ( ibit5 * adv_sca_5 & |
---|
581 | ) * & |
---|
582 | ( sk(k,j+3,i) - sk(k,j-2,i) ) & |
---|
583 | ) |
---|
584 | ! |
---|
585 | !-- k index has to be modified near bottom and top, else array |
---|
586 | !-- subscripts will be exceeded. |
---|
587 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
---|
588 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
---|
589 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
---|
590 | |
---|
591 | k_ppp = k + 3 * ibit8 |
---|
592 | k_pp = k + 2 * ( 1 - ibit6 ) |
---|
593 | k_mm = k - 2 * ibit8 |
---|
594 | |
---|
595 | |
---|
596 | flux_t(k) = w(k,j,i) * ( & |
---|
597 | ( 37.0 * ibit8 * adv_sca_5 & |
---|
598 | + 7.0 * ibit7 * adv_sca_3 & |
---|
599 | + ibit6 * adv_sca_1 & |
---|
600 | ) * & |
---|
601 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
---|
602 | - ( 8.0 * ibit8 * adv_sca_5 & |
---|
603 | + ibit7 * adv_sca_3 & |
---|
604 | ) * & |
---|
605 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
---|
606 | + ( ibit8 * adv_sca_5 & |
---|
607 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
---|
608 | ) |
---|
609 | |
---|
610 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
---|
611 | ( 10.0 * ibit8 * adv_sca_5 & |
---|
612 | + 3.0 * ibit7 * adv_sca_3 & |
---|
613 | + ibit6 * adv_sca_1 & |
---|
614 | ) * & |
---|
615 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
---|
616 | - ( 5.0 * ibit8 * adv_sca_5 & |
---|
617 | + ibit7 * adv_sca_3 & |
---|
618 | ) * & |
---|
619 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
---|
620 | + ( ibit8 * adv_sca_5 & |
---|
621 | ) * & |
---|
622 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
---|
623 | ) |
---|
624 | ! |
---|
625 | !-- Calculate the divergence of the velocity field. A respective |
---|
626 | !-- correction is needed to overcome numerical instabilities caused |
---|
627 | !-- by a not sufficient reduction of divergences near topography. |
---|
628 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
---|
629 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
---|
630 | + ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
631 | |
---|
632 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
633 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j,tn) - & |
---|
634 | swap_diss_x_local(k,j,tn) ) * ddx & |
---|
635 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k,tn) - & |
---|
636 | swap_diss_y_local(k,tn) ) * ddy & |
---|
637 | + ( flux_t(k) + diss_t(k) - flux_d - diss_d & |
---|
638 | ) * ddzw(k) & |
---|
639 | ) + sk(k,j,i) * div |
---|
640 | |
---|
641 | swap_flux_y_local(k,tn) = flux_n(k) |
---|
642 | swap_diss_y_local(k,tn) = diss_n(k) |
---|
643 | swap_flux_x_local(k,j,tn) = flux_r(k) |
---|
644 | swap_diss_x_local(k,j,tn) = diss_r(k) |
---|
645 | flux_d = flux_t(k) |
---|
646 | diss_d = diss_t(k) |
---|
647 | |
---|
648 | ENDDO |
---|
649 | ! |
---|
650 | !-- Now compute the fluxes and tendency terms for the horizontal and |
---|
651 | !-- vertical parts above the top of the highest topography. No degradation |
---|
652 | !-- for the horizontal parts, but for the vertical it is stell needed. |
---|
653 | DO k = nzb_max+1, nzt |
---|
654 | |
---|
655 | u_comp = u(k,j,i+1) - u_gtrans |
---|
656 | flux_r(k) = u_comp * ( & |
---|
657 | 37.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
658 | - 8.0 * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
---|
659 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) * adv_sca_5 |
---|
660 | diss_r(k) = -ABS( u_comp ) * ( & |
---|
661 | 10.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
662 | - 5.0 * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
---|
663 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) * adv_sca_5 |
---|
664 | |
---|
665 | v_comp = v(k,j+1,i) - v_gtrans |
---|
666 | flux_n(k) = v_comp * ( & |
---|
667 | 37.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
668 | - 8.0 * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
---|
669 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) * adv_sca_5 |
---|
670 | diss_n(k) = -ABS( v_comp ) * ( & |
---|
671 | 10.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
672 | - 5.0 * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
---|
673 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) * adv_sca_5 |
---|
674 | ! |
---|
675 | !-- k index has to be modified near bottom and top, else array |
---|
676 | !-- subscripts will be exceeded. |
---|
677 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
---|
678 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
---|
679 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
---|
680 | |
---|
681 | k_ppp = k + 3 * ibit8 |
---|
682 | k_pp = k + 2 * ( 1 - ibit6 ) |
---|
683 | k_mm = k - 2 * ibit8 |
---|
684 | |
---|
685 | |
---|
686 | flux_t(k) = w(k,j,i) * ( & |
---|
687 | ( 37.0 * ibit8 * adv_sca_5 & |
---|
688 | + 7.0 * ibit7 * adv_sca_3 & |
---|
689 | + ibit6 * adv_sca_1 & |
---|
690 | ) * & |
---|
691 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
---|
692 | - ( 8.0 * ibit8 * adv_sca_5 & |
---|
693 | + ibit7 * adv_sca_3 & |
---|
694 | ) * & |
---|
695 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
---|
696 | + ( ibit8 * adv_sca_5 & |
---|
697 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
---|
698 | ) |
---|
699 | |
---|
700 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
---|
701 | ( 10.0 * ibit8 * adv_sca_5 & |
---|
702 | + 3.0 * ibit7 * adv_sca_3 & |
---|
703 | + ibit6 * adv_sca_1 & |
---|
704 | ) * & |
---|
705 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
---|
706 | - ( 5.0 * ibit8 * adv_sca_5 & |
---|
707 | + ibit7 * adv_sca_3 & |
---|
708 | ) * & |
---|
709 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
---|
710 | + ( ibit8 * adv_sca_5 & |
---|
711 | ) * & |
---|
712 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
---|
713 | ) |
---|
714 | ! |
---|
715 | !-- Calculate the divergence of the velocity field. A respective |
---|
716 | !-- correction is needed to overcome numerical instabilities introduced |
---|
717 | !-- by a not sufficient reduction of divergences near topography. |
---|
718 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
---|
719 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
---|
720 | + ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
721 | |
---|
722 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
723 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j,tn) - & |
---|
724 | swap_diss_x_local(k,j,tn) ) * ddx & |
---|
725 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k,tn) - & |
---|
726 | swap_diss_y_local(k,tn) ) * ddy & |
---|
727 | + ( flux_t(k) + diss_t(k) - flux_d - diss_d & |
---|
728 | ) * ddzw(k) & |
---|
729 | ) + sk(k,j,i) * div |
---|
730 | |
---|
731 | swap_flux_y_local(k,tn) = flux_n(k) |
---|
732 | swap_diss_y_local(k,tn) = diss_n(k) |
---|
733 | swap_flux_x_local(k,j,tn) = flux_r(k) |
---|
734 | swap_diss_x_local(k,j,tn) = diss_r(k) |
---|
735 | flux_d = flux_t(k) |
---|
736 | diss_d = diss_t(k) |
---|
737 | |
---|
738 | ENDDO |
---|
739 | |
---|
740 | ! |
---|
741 | !-- Evaluation of statistics |
---|
742 | SELECT CASE ( sk_char ) |
---|
743 | |
---|
744 | CASE ( 'pt' ) |
---|
745 | |
---|
746 | DO k = nzb, nzt |
---|
747 | sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) + & |
---|
748 | ( flux_t(k) + diss_t(k) ) & |
---|
749 | * weight_substep(intermediate_timestep_count) |
---|
750 | ENDDO |
---|
751 | |
---|
752 | CASE ( 'sa' ) |
---|
753 | |
---|
754 | DO k = nzb, nzt |
---|
755 | sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) + & |
---|
756 | ( flux_t(k) + diss_t(k) ) & |
---|
757 | * weight_substep(intermediate_timestep_count) |
---|
758 | ENDDO |
---|
759 | |
---|
760 | CASE ( 'q' ) |
---|
761 | |
---|
762 | DO k = nzb, nzt |
---|
763 | sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) + & |
---|
764 | ( flux_t(k) + diss_t(k) ) & |
---|
765 | * weight_substep(intermediate_timestep_count) |
---|
766 | ENDDO |
---|
767 | |
---|
768 | CASE ( 'qr' ) |
---|
769 | |
---|
770 | DO k = nzb, nzt |
---|
771 | sums_wsqrs_ws_l(k,tn) = sums_wsqrs_ws_l(k,tn) + & |
---|
772 | ( flux_t(k) + diss_t(k) ) & |
---|
773 | * weight_substep(intermediate_timestep_count) |
---|
774 | ENDDO |
---|
775 | |
---|
776 | CASE ( 'nr' ) |
---|
777 | |
---|
778 | DO k = nzb, nzt |
---|
779 | sums_wsnrs_ws_l(k,tn) = sums_wsnrs_ws_l(k,tn) + & |
---|
780 | ( flux_t(k) + diss_t(k) ) & |
---|
781 | * weight_substep(intermediate_timestep_count) |
---|
782 | ENDDO |
---|
783 | |
---|
784 | END SELECT |
---|
785 | |
---|
786 | END SUBROUTINE advec_s_ws_ij |
---|
787 | |
---|
788 | |
---|
789 | |
---|
790 | |
---|
791 | !------------------------------------------------------------------------------! |
---|
792 | ! Advection of u-component - Call for grid point i,j |
---|
793 | !------------------------------------------------------------------------------! |
---|
794 | SUBROUTINE advec_u_ws_ij( i, j, i_omp, tn ) |
---|
795 | |
---|
796 | USE arrays_3d |
---|
797 | USE constants |
---|
798 | USE control_parameters |
---|
799 | USE grid_variables |
---|
800 | USE indices |
---|
801 | USE statistics |
---|
802 | |
---|
803 | IMPLICIT NONE |
---|
804 | |
---|
805 | INTEGER :: i, ibit9, ibit10, ibit11, ibit12, ibit13, ibit14, ibit15, & |
---|
806 | ibit16, ibit17, i_omp, j, k, k_mm, k_pp, k_ppp, tn |
---|
807 | REAL :: diss_d, div, flux_d, gu, gv, u_comp_l, v_comp, w_comp |
---|
808 | REAL, DIMENSION(nzb:nzt+1) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
---|
809 | flux_t, u_comp |
---|
810 | |
---|
811 | gu = 2.0 * u_gtrans |
---|
812 | gv = 2.0 * v_gtrans |
---|
813 | ! |
---|
814 | !-- Compute southside fluxes for the respective boundary of PE |
---|
815 | IF ( j == nys ) THEN |
---|
816 | |
---|
817 | DO k = nzb+1, nzb_max |
---|
818 | |
---|
819 | ibit14 = IBITS(wall_flags_0(k,j,i),14,1) |
---|
820 | ibit13 = IBITS(wall_flags_0(k,j,i),13,1) |
---|
821 | ibit12 = IBITS(wall_flags_0(k,j,i),12,1) |
---|
822 | |
---|
823 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
---|
824 | flux_s_u(k,tn) = v_comp * ( & |
---|
825 | ( 37.0 * ibit14 * adv_mom_5 & |
---|
826 | + 7.0 * ibit13 * adv_mom_3 & |
---|
827 | + ibit12 * adv_mom_1 & |
---|
828 | ) * & |
---|
829 | ( u(k,j,i) + u(k,j-1,i) ) & |
---|
830 | - ( 8.0 * ibit14 * adv_mom_5 & |
---|
831 | + ibit13 * adv_mom_3 & |
---|
832 | ) * & |
---|
833 | ( u(k,j+1,i) + u(k,j-2,i) ) & |
---|
834 | + ( ibit14 * adv_mom_5 & |
---|
835 | ) * & |
---|
836 | ( u(k,j+2,i) + u(k,j-3,i) ) & |
---|
837 | ) |
---|
838 | |
---|
839 | diss_s_u(k,tn) = - ABS ( v_comp ) * ( & |
---|
840 | ( 10.0 * ibit14 * adv_mom_5 & |
---|
841 | + 3.0 * ibit13 * adv_mom_3 & |
---|
842 | + ibit12 * adv_mom_1 & |
---|
843 | ) * & |
---|
844 | ( u(k,j,i) - u(k,j-1,i) ) & |
---|
845 | - ( 5.0 * ibit14 * adv_mom_5 & |
---|
846 | + ibit13 * adv_mom_3 & |
---|
847 | ) * & |
---|
848 | ( u(k,j+1,i) - u(k,j-2,i) ) & |
---|
849 | + ( ibit14 * adv_mom_5 & |
---|
850 | ) * & |
---|
851 | ( u(k,j+2,i) - u(k,j-3,i) ) & |
---|
852 | ) |
---|
853 | |
---|
854 | ENDDO |
---|
855 | |
---|
856 | DO k = nzb_max+1, nzt |
---|
857 | |
---|
858 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
---|
859 | flux_s_u(k,tn) = v_comp * ( & |
---|
860 | 37.0 * ( u(k,j,i) + u(k,j-1,i) ) & |
---|
861 | - 8.0 * ( u(k,j+1,i) + u(k,j-2,i) ) & |
---|
862 | + ( u(k,j+2,i) + u(k,j-3,i) ) ) * adv_mom_5 |
---|
863 | diss_s_u(k,tn) = - ABS(v_comp) * ( & |
---|
864 | 10.0 * ( u(k,j,i) - u(k,j-1,i) ) & |
---|
865 | - 5.0 * ( u(k,j+1,i) - u(k,j-2,i) ) & |
---|
866 | + ( u(k,j+2,i) - u(k,j-3,i) ) ) * adv_mom_5 |
---|
867 | |
---|
868 | ENDDO |
---|
869 | |
---|
870 | ENDIF |
---|
871 | ! |
---|
872 | !-- Compute leftside fluxes for the respective boundary of PE |
---|
873 | IF ( i == i_omp ) THEN |
---|
874 | |
---|
875 | DO k = nzb+1, nzb_max |
---|
876 | |
---|
877 | ibit11 = IBITS(wall_flags_0(k,j,i),11,1) |
---|
878 | ibit10 = IBITS(wall_flags_0(k,j,i),10,1) |
---|
879 | ibit9 = IBITS(wall_flags_0(k,j,i),9,1) |
---|
880 | |
---|
881 | u_comp_l = u(k,j,i) + u(k,j,i-1) - gu |
---|
882 | flux_l_u(k,j,tn) = u_comp_l * ( & |
---|
883 | ( 37.0 * ibit11 * adv_mom_5 & |
---|
884 | + 7.0 * ibit10 * adv_mom_3 & |
---|
885 | + ibit9 * adv_mom_1 & |
---|
886 | ) * & |
---|
887 | ( u(k,j,i) + u(k,j,i-1) ) & |
---|
888 | - ( 8.0 * ibit11 * adv_mom_5 & |
---|
889 | + ibit10 * adv_mom_3 & |
---|
890 | ) * & |
---|
891 | ( u(k,j,i+1) + u(k,j,i-2) ) & |
---|
892 | + ( ibit11 * adv_mom_5 & |
---|
893 | ) * & |
---|
894 | ( u(k,j,i+2) + u(k,j,i-3) ) & |
---|
895 | ) |
---|
896 | |
---|
897 | diss_l_u(k,j,tn) = - ABS( u_comp_l ) * ( & |
---|
898 | ( 10.0 * ibit11 * adv_mom_5 & |
---|
899 | + 3.0 * ibit10 * adv_mom_3 & |
---|
900 | + ibit9 * adv_mom_1 & |
---|
901 | ) * & |
---|
902 | ( u(k,j,i) - u(k,j,i-1) ) & |
---|
903 | - ( 5.0 * ibit11 * adv_mom_5 & |
---|
904 | + ibit10 * adv_mom_3 & |
---|
905 | ) * & |
---|
906 | ( u(k,j,i+1) - u(k,j,i-2) ) & |
---|
907 | + ( ibit11 * adv_mom_5 & |
---|
908 | ) * & |
---|
909 | ( u(k,j,i+2) - u(k,j,i-3) ) & |
---|
910 | ) |
---|
911 | |
---|
912 | ENDDO |
---|
913 | |
---|
914 | DO k = nzb_max+1, nzt |
---|
915 | |
---|
916 | u_comp_l = u(k,j,i) + u(k,j,i-1) - gu |
---|
917 | flux_l_u(k,j,tn) = u_comp_l * ( & |
---|
918 | 37.0 * ( u(k,j,i) + u(k,j,i-1) ) & |
---|
919 | - 8.0 * ( u(k,j,i+1) + u(k,j,i-2) ) & |
---|
920 | + ( u(k,j,i+2) + u(k,j,i-3) ) ) * adv_mom_5 |
---|
921 | diss_l_u(k,j,tn) = - ABS(u_comp_l) * ( & |
---|
922 | 10.0 * ( u(k,j,i) - u(k,j,i-1) ) & |
---|
923 | - 5.0 * ( u(k,j,i+1) - u(k,j,i-2) ) & |
---|
924 | + ( u(k,j,i+2) - u(k,j,i-3) ) ) * adv_mom_5 |
---|
925 | |
---|
926 | ENDDO |
---|
927 | |
---|
928 | ENDIF |
---|
929 | |
---|
930 | flux_t(0) = 0.0 |
---|
931 | diss_t(0) = 0.0 |
---|
932 | flux_d = 0.0 |
---|
933 | diss_d = 0.0 |
---|
934 | ! |
---|
935 | !-- Now compute the fluxes tendency terms for the horizontal and |
---|
936 | !-- vertical parts. |
---|
937 | DO k = nzb+1, nzb_max |
---|
938 | |
---|
939 | ibit11 = IBITS(wall_flags_0(k,j,i),11,1) |
---|
940 | ibit10 = IBITS(wall_flags_0(k,j,i),10,1) |
---|
941 | ibit9 = IBITS(wall_flags_0(k,j,i),9,1) |
---|
942 | |
---|
943 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
944 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
945 | ( 37.0 * ibit11 * adv_mom_5 & |
---|
946 | + 7.0 * ibit10 * adv_mom_3 & |
---|
947 | + ibit9 * adv_mom_1 & |
---|
948 | ) * & |
---|
949 | ( u(k,j,i+1) + u(k,j,i) ) & |
---|
950 | - ( 8.0 * ibit11 * adv_mom_5 & |
---|
951 | + ibit10 * adv_mom_3 & |
---|
952 | ) * & |
---|
953 | ( u(k,j,i+2) + u(k,j,i-1) ) & |
---|
954 | + ( ibit11 * adv_mom_5 & |
---|
955 | ) * & |
---|
956 | ( u(k,j,i+3) + u(k,j,i-2) ) & |
---|
957 | ) |
---|
958 | |
---|
959 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
960 | ( 10.0 * ibit11 * adv_mom_5 & |
---|
961 | + 3.0 * ibit10 * adv_mom_3 & |
---|
962 | + ibit9 * adv_mom_1 & |
---|
963 | ) * & |
---|
964 | ( u(k,j,i+1) - u(k,j,i) ) & |
---|
965 | - ( 5.0 * ibit11 * adv_mom_5 & |
---|
966 | + ibit10 * adv_mom_3 & |
---|
967 | ) * & |
---|
968 | ( u(k,j,i+2) - u(k,j,i-1) ) & |
---|
969 | + ( ibit11 * adv_mom_5 & |
---|
970 | ) * & |
---|
971 | ( u(k,j,i+3) - u(k,j,i-2) ) & |
---|
972 | ) |
---|
973 | |
---|
974 | ibit14 = IBITS(wall_flags_0(k,j,i),14,1) |
---|
975 | ibit13 = IBITS(wall_flags_0(k,j,i),13,1) |
---|
976 | ibit12 = IBITS(wall_flags_0(k,j,i),12,1) |
---|
977 | |
---|
978 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
979 | flux_n(k) = v_comp * ( & |
---|
980 | ( 37.0 * ibit14 * adv_mom_5 & |
---|
981 | + 7.0 * ibit13 * adv_mom_3 & |
---|
982 | + ibit12 * adv_mom_1 & |
---|
983 | ) * & |
---|
984 | ( u(k,j+1,i) + u(k,j,i) ) & |
---|
985 | - ( 8.0 * ibit14 * adv_mom_5 & |
---|
986 | + ibit13 * adv_mom_3 & |
---|
987 | ) * & |
---|
988 | ( u(k,j+2,i) + u(k,j-1,i) ) & |
---|
989 | + ( ibit14 * adv_mom_5 & |
---|
990 | ) * & |
---|
991 | ( u(k,j+3,i) + u(k,j-2,i) ) & |
---|
992 | ) |
---|
993 | |
---|
994 | diss_n(k) = - ABS ( v_comp ) * ( & |
---|
995 | ( 10.0 * ibit14 * adv_mom_5 & |
---|
996 | + 3.0 * ibit13 * adv_mom_3 & |
---|
997 | + ibit12 * adv_mom_1 & |
---|
998 | ) * & |
---|
999 | ( u(k,j+1,i) - u(k,j,i) ) & |
---|
1000 | - ( 5.0 * ibit14 * adv_mom_5 & |
---|
1001 | + ibit13 * adv_mom_3 & |
---|
1002 | ) * & |
---|
1003 | ( u(k,j+2,i) - u(k,j-1,i) ) & |
---|
1004 | + ( ibit14 * adv_mom_5 & |
---|
1005 | ) * & |
---|
1006 | ( u(k,j+3,i) - u(k,j-2,i) ) & |
---|
1007 | ) |
---|
1008 | ! |
---|
1009 | !-- k index has to be modified near bottom and top, else array |
---|
1010 | !-- subscripts will be exceeded. |
---|
1011 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
---|
1012 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
---|
1013 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
---|
1014 | |
---|
1015 | k_ppp = k + 3 * ibit17 |
---|
1016 | k_pp = k + 2 * ( 1 - ibit15 ) |
---|
1017 | k_mm = k - 2 * ibit17 |
---|
1018 | |
---|
1019 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
1020 | flux_t(k) = w_comp * ( & |
---|
1021 | ( 37.0 * ibit17 * adv_mom_5 & |
---|
1022 | + 7.0 * ibit16 * adv_mom_3 & |
---|
1023 | + ibit15 * adv_mom_1 & |
---|
1024 | ) * & |
---|
1025 | ( u(k+1,j,i) + u(k,j,i) ) & |
---|
1026 | - ( 8.0 * ibit17 * adv_mom_5 & |
---|
1027 | + ibit16 * adv_mom_3 & |
---|
1028 | ) * & |
---|
1029 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
---|
1030 | + ( ibit17 * adv_mom_5 & |
---|
1031 | ) * & |
---|
1032 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
---|
1033 | ) |
---|
1034 | |
---|
1035 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
1036 | ( 10.0 * ibit17 * adv_mom_5 & |
---|
1037 | + 3.0 * ibit16 * adv_mom_3 & |
---|
1038 | + ibit15 * adv_mom_1 & |
---|
1039 | ) * & |
---|
1040 | ( u(k+1,j,i) - u(k,j,i) ) & |
---|
1041 | - ( 5.0 * ibit17 * adv_mom_5 & |
---|
1042 | + ibit16 * adv_mom_3 & |
---|
1043 | ) * & |
---|
1044 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
---|
1045 | + ( ibit17 * adv_mom_5 & |
---|
1046 | ) * & |
---|
1047 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
---|
1048 | ) |
---|
1049 | ! |
---|
1050 | !-- Calculate the divergence of the velocity field. A respective |
---|
1051 | !-- correction is needed to overcome numerical instabilities introduced |
---|
1052 | !-- by a not sufficient reduction of divergences near topography. |
---|
1053 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
---|
1054 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
---|
1055 | + ( w_comp - ( w(k-1,j,i) + w(k-1,j,i-1) ) ) * ddzw(k) & |
---|
1056 | ) * 0.5 |
---|
1057 | |
---|
1058 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
1059 | ( flux_r(k) + diss_r(k) & |
---|
1060 | - flux_l_u(k,j,tn) - diss_l_u(k,j,tn) ) * ddx & |
---|
1061 | + ( flux_n(k) + diss_n(k) & |
---|
1062 | - flux_s_u(k,tn) - diss_s_u(k,tn) ) * ddy & |
---|
1063 | + ( flux_t(k) + diss_t(k) & |
---|
1064 | - flux_d - diss_d ) * ddzw(k) & |
---|
1065 | ) + div * u(k,j,i) |
---|
1066 | |
---|
1067 | flux_l_u(k,j,tn) = flux_r(k) |
---|
1068 | diss_l_u(k,j,tn) = diss_r(k) |
---|
1069 | flux_s_u(k,tn) = flux_n(k) |
---|
1070 | diss_s_u(k,tn) = diss_n(k) |
---|
1071 | flux_d = flux_t(k) |
---|
1072 | diss_d = diss_t(k) |
---|
1073 | ! |
---|
1074 | !-- Statistical Evaluation of u'u'. The factor has to be applied for |
---|
1075 | !-- right evaluation when gallilei_trans = .T. . |
---|
1076 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
---|
1077 | + ( flux_r(k) * & |
---|
1078 | ( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
---|
1079 | / ( u_comp(k) - gu + 1.0E-20 ) & |
---|
1080 | + diss_r(k) * & |
---|
1081 | ABS( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
---|
1082 | / ( ABS( u_comp(k) - gu ) + 1.0E-20 ) ) & |
---|
1083 | * weight_substep(intermediate_timestep_count) |
---|
1084 | ! |
---|
1085 | !-- Statistical Evaluation of w'u'. |
---|
1086 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
---|
1087 | + ( flux_t(k) + diss_t(k) ) & |
---|
1088 | * weight_substep(intermediate_timestep_count) |
---|
1089 | ENDDO |
---|
1090 | |
---|
1091 | DO k = nzb_max+1, nzt |
---|
1092 | |
---|
1093 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
1094 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
1095 | 37.0 * ( u(k,j,i+1) + u(k,j,i) ) & |
---|
1096 | - 8.0 * ( u(k,j,i+2) + u(k,j,i-1) ) & |
---|
1097 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) * adv_mom_5 |
---|
1098 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
1099 | 10.0 * ( u(k,j,i+1) - u(k,j,i) ) & |
---|
1100 | - 5.0 * ( u(k,j,i+2) - u(k,j,i-1) ) & |
---|
1101 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
---|
1102 | |
---|
1103 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
1104 | flux_n(k) = v_comp * ( & |
---|
1105 | 37.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
---|
1106 | - 8.0 * ( u(k,j+2,i) + u(k,j-1,i) ) & |
---|
1107 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
---|
1108 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
1109 | 10.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
---|
1110 | - 5.0 * ( u(k,j+2,i) - u(k,j-1,i) ) & |
---|
1111 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
---|
1112 | ! |
---|
1113 | !-- k index has to be modified near bottom and top, else array |
---|
1114 | !-- subscripts will be exceeded. |
---|
1115 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
---|
1116 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
---|
1117 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
---|
1118 | |
---|
1119 | k_ppp = k + 3 * ibit17 |
---|
1120 | k_pp = k + 2 * ( 1 - ibit15 ) |
---|
1121 | k_mm = k - 2 * ibit17 |
---|
1122 | |
---|
1123 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
1124 | flux_t(k) = w_comp * ( & |
---|
1125 | ( 37.0 * ibit17 * adv_mom_5 & |
---|
1126 | + 7.0 * ibit16 * adv_mom_3 & |
---|
1127 | + ibit15 * adv_mom_1 & |
---|
1128 | ) * & |
---|
1129 | ( u(k+1,j,i) + u(k,j,i) ) & |
---|
1130 | - ( 8.0 * ibit17 * adv_mom_5 & |
---|
1131 | + ibit16 * adv_mom_3 & |
---|
1132 | ) * & |
---|
1133 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
---|
1134 | + ( ibit17 * adv_mom_5 & |
---|
1135 | ) * & |
---|
1136 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
---|
1137 | ) |
---|
1138 | |
---|
1139 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
1140 | ( 10.0 * ibit17 * adv_mom_5 & |
---|
1141 | + 3.0 * ibit16 * adv_mom_3 & |
---|
1142 | + ibit15 * adv_mom_1 & |
---|
1143 | ) * & |
---|
1144 | ( u(k+1,j,i) - u(k,j,i) ) & |
---|
1145 | - ( 5.0 * ibit17 * adv_mom_5 & |
---|
1146 | + ibit16 * adv_mom_3 & |
---|
1147 | ) * & |
---|
1148 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
---|
1149 | + ( ibit17 * adv_mom_5 & |
---|
1150 | ) * & |
---|
1151 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
---|
1152 | ) |
---|
1153 | ! |
---|
1154 | !-- Calculate the divergence of the velocity field. A respective |
---|
1155 | !-- correction is needed to overcome numerical instabilities introduced |
---|
1156 | !-- by a not sufficient reduction of divergences near topography. |
---|
1157 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
---|
1158 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
---|
1159 | + ( w_comp - ( w(k-1,j,i) + w(k-1,j,i-1) ) ) * ddzw(k) & |
---|
1160 | ) * 0.5 |
---|
1161 | |
---|
1162 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
1163 | ( flux_r(k) + diss_r(k) & |
---|
1164 | - flux_l_u(k,j,tn) - diss_l_u(k,j,tn) ) * ddx & |
---|
1165 | + ( flux_n(k) + diss_n(k) & |
---|
1166 | - flux_s_u(k,tn) - diss_s_u(k,tn) ) * ddy & |
---|
1167 | + ( flux_t(k) + diss_t(k) & |
---|
1168 | - flux_d - diss_d ) * ddzw(k) & |
---|
1169 | ) + div * u(k,j,i) |
---|
1170 | |
---|
1171 | flux_l_u(k,j,tn) = flux_r(k) |
---|
1172 | diss_l_u(k,j,tn) = diss_r(k) |
---|
1173 | flux_s_u(k,tn) = flux_n(k) |
---|
1174 | diss_s_u(k,tn) = diss_n(k) |
---|
1175 | flux_d = flux_t(k) |
---|
1176 | diss_d = diss_t(k) |
---|
1177 | ! |
---|
1178 | !-- Statistical Evaluation of u'u'. The factor has to be applied for |
---|
1179 | !-- right evaluation when gallilei_trans = .T. . |
---|
1180 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
---|
1181 | + ( flux_r(k) * & |
---|
1182 | ( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
---|
1183 | / ( u_comp(k) - gu + 1.0E-20 ) & |
---|
1184 | + diss_r(k) * & |
---|
1185 | ABS( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
---|
1186 | / ( ABS( u_comp(k) - gu ) + 1.0E-20 ) ) & |
---|
1187 | * weight_substep(intermediate_timestep_count) |
---|
1188 | ! |
---|
1189 | !-- Statistical Evaluation of w'u'. |
---|
1190 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
---|
1191 | + ( flux_t(k) + diss_t(k) ) & |
---|
1192 | * weight_substep(intermediate_timestep_count) |
---|
1193 | ENDDO |
---|
1194 | |
---|
1195 | sums_us2_ws_l(nzb,tn) = sums_us2_ws_l(nzb+1,tn) |
---|
1196 | |
---|
1197 | |
---|
1198 | |
---|
1199 | END SUBROUTINE advec_u_ws_ij |
---|
1200 | |
---|
1201 | |
---|
1202 | |
---|
1203 | !-----------------------------------------------------------------------------! |
---|
1204 | ! Advection of v-component - Call for grid point i,j |
---|
1205 | !-----------------------------------------------------------------------------! |
---|
1206 | SUBROUTINE advec_v_ws_ij( i, j, i_omp, tn ) |
---|
1207 | |
---|
1208 | USE arrays_3d |
---|
1209 | USE constants |
---|
1210 | USE control_parameters |
---|
1211 | USE grid_variables |
---|
1212 | USE indices |
---|
1213 | USE statistics |
---|
1214 | |
---|
1215 | IMPLICIT NONE |
---|
1216 | |
---|
1217 | INTEGER :: i, ibit18, ibit19, ibit20, ibit21, ibit22, ibit23, ibit24, & |
---|
1218 | ibit25, ibit26, i_omp, j, k, k_mm, k_pp, k_ppp, tn |
---|
1219 | REAL :: diss_d, div, flux_d, gu, gv, u_comp, v_comp_l, w_comp |
---|
1220 | REAL, DIMENSION(nzb:nzt+1) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
---|
1221 | flux_t, v_comp |
---|
1222 | |
---|
1223 | gu = 2.0 * u_gtrans |
---|
1224 | gv = 2.0 * v_gtrans |
---|
1225 | |
---|
1226 | ! |
---|
1227 | !-- Compute leftside fluxes for the respective boundary. |
---|
1228 | IF ( i == i_omp ) THEN |
---|
1229 | |
---|
1230 | DO k = nzb+1, nzb_max |
---|
1231 | |
---|
1232 | ibit20 = IBITS(wall_flags_0(k,j,i),20,1) |
---|
1233 | ibit19 = IBITS(wall_flags_0(k,j,i),19,1) |
---|
1234 | ibit18 = IBITS(wall_flags_0(k,j,i),18,1) |
---|
1235 | |
---|
1236 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
---|
1237 | flux_l_v(k,j,tn) = u_comp * ( & |
---|
1238 | ( 37.0 * ibit20 * adv_mom_5 & |
---|
1239 | + 7.0 * ibit19 * adv_mom_3 & |
---|
1240 | + ibit18 * adv_mom_1 & |
---|
1241 | ) * & |
---|
1242 | ( v(k,j,i) + v(k,j,i-1) ) & |
---|
1243 | - ( 8.0 * ibit20 * adv_mom_5 & |
---|
1244 | + ibit19 * adv_mom_3 & |
---|
1245 | ) * & |
---|
1246 | ( v(k,j,i+1) + v(k,j,i-2) ) & |
---|
1247 | + ( ibit20 * adv_mom_5 & |
---|
1248 | ) * & |
---|
1249 | ( v(k,j,i+2) + v(k,j,i-3) ) & |
---|
1250 | ) |
---|
1251 | |
---|
1252 | diss_l_v(k,j,tn) = - ABS( u_comp ) * ( & |
---|
1253 | ( 10.0 * ibit20 * adv_mom_5 & |
---|
1254 | + 3.0 * ibit19 * adv_mom_3 & |
---|
1255 | + ibit18 * adv_mom_1 & |
---|
1256 | ) * & |
---|
1257 | ( v(k,j,i) - v(k,j,i-1) ) & |
---|
1258 | - ( 5.0 * ibit20 * adv_mom_5 & |
---|
1259 | + ibit19 * adv_mom_3 & |
---|
1260 | ) * & |
---|
1261 | ( v(k,j,i+1) - v(k,j,i-2) ) & |
---|
1262 | + ( ibit20 * adv_mom_5 & |
---|
1263 | ) * & |
---|
1264 | ( v(k,j,i+2) - v(k,j,i-3) ) & |
---|
1265 | ) |
---|
1266 | |
---|
1267 | ENDDO |
---|
1268 | |
---|
1269 | DO k = nzb_max+1, nzt |
---|
1270 | |
---|
1271 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
---|
1272 | flux_l_v(k,j,tn) = u_comp * ( & |
---|
1273 | 37.0 * ( v(k,j,i) + v(k,j,i-1) ) & |
---|
1274 | - 8.0 * ( v(k,j,i+1) + v(k,j,i-2) ) & |
---|
1275 | + ( v(k,j,i+2) + v(k,j,i-3) ) ) * adv_mom_5 |
---|
1276 | diss_l_v(k,j,tn) = - ABS( u_comp ) * ( & |
---|
1277 | 10.0 * ( v(k,j,i) - v(k,j,i-1) ) & |
---|
1278 | - 5.0 * ( v(k,j,i+1) - v(k,j,i-2) ) & |
---|
1279 | + ( v(k,j,i+2) - v(k,j,i-3) ) ) * adv_mom_5 |
---|
1280 | |
---|
1281 | ENDDO |
---|
1282 | |
---|
1283 | ENDIF |
---|
1284 | ! |
---|
1285 | !-- Compute southside fluxes for the respective boundary. |
---|
1286 | IF ( j == nysv ) THEN |
---|
1287 | |
---|
1288 | DO k = nzb+1, nzb_max |
---|
1289 | |
---|
1290 | ibit23 = IBITS(wall_flags_0(k,j,i),23,1) |
---|
1291 | ibit22 = IBITS(wall_flags_0(k,j,i),22,1) |
---|
1292 | ibit21 = IBITS(wall_flags_0(k,j,i),21,1) |
---|
1293 | |
---|
1294 | v_comp_l = v(k,j,i) + v(k,j-1,i) - gv |
---|
1295 | flux_s_v(k,tn) = v_comp_l * ( & |
---|
1296 | ( 37.0 * ibit23 * adv_mom_5 & |
---|
1297 | + 7.0 * ibit22 * adv_mom_3 & |
---|
1298 | + ibit21 * adv_mom_1 & |
---|
1299 | ) * & |
---|
1300 | ( v(k,j,i) + v(k,j-1,i) ) & |
---|
1301 | - ( 8.0 * ibit23 * adv_mom_5 & |
---|
1302 | + ibit22 * adv_mom_3 & |
---|
1303 | ) * & |
---|
1304 | ( v(k,j+1,i) + v(k,j-2,i) ) & |
---|
1305 | + ( ibit23 * adv_mom_5 & |
---|
1306 | ) * & |
---|
1307 | ( v(k,j+2,i) + v(k,j-3,i) ) & |
---|
1308 | ) |
---|
1309 | |
---|
1310 | diss_s_v(k,tn) = - ABS( v_comp_l ) * ( & |
---|
1311 | ( 10.0 * ibit23 * adv_mom_5 & |
---|
1312 | + 3.0 * ibit22 * adv_mom_3 & |
---|
1313 | + ibit21 * adv_mom_1 & |
---|
1314 | ) * & |
---|
1315 | ( v(k,j,i) - v(k,j-1,i) ) & |
---|
1316 | - ( 5.0 * ibit23 * adv_mom_5 & |
---|
1317 | + ibit22 * adv_mom_3 & |
---|
1318 | ) * & |
---|
1319 | ( v(k,j+1,i) - v(k,j-2,i) ) & |
---|
1320 | + ( ibit23 * adv_mom_5 & |
---|
1321 | ) * & |
---|
1322 | ( v(k,j+2,i) - v(k,j-3,i) ) & |
---|
1323 | ) |
---|
1324 | |
---|
1325 | ENDDO |
---|
1326 | |
---|
1327 | DO k = nzb_max+1, nzt |
---|
1328 | |
---|
1329 | v_comp_l = v(k,j,i) + v(k,j-1,i) - gv |
---|
1330 | flux_s_v(k,tn) = v_comp_l * ( & |
---|
1331 | 37.0 * ( v(k,j,i) + v(k,j-1,i) ) & |
---|
1332 | - 8.0 * ( v(k,j+1,i) + v(k,j-2,i) ) & |
---|
1333 | + ( v(k,j+2,i) + v(k,j-3,i) ) ) * adv_mom_5 |
---|
1334 | diss_s_v(k,tn) = - ABS( v_comp_l ) * ( & |
---|
1335 | 10.0 * ( v(k,j,i) - v(k,j-1,i) ) & |
---|
1336 | - 5.0 * ( v(k,j+1,i) - v(k,j-2,i) ) & |
---|
1337 | + ( v(k,j+2,i) - v(k,j-3,i) ) ) * adv_mom_5 |
---|
1338 | |
---|
1339 | ENDDO |
---|
1340 | |
---|
1341 | ENDIF |
---|
1342 | |
---|
1343 | flux_t(0) = 0.0 |
---|
1344 | diss_t(0) = 0.0 |
---|
1345 | flux_d = 0.0 |
---|
1346 | diss_d = 0.0 |
---|
1347 | ! |
---|
1348 | !-- Now compute the fluxes and tendency terms for the horizontal and |
---|
1349 | !-- verical parts. |
---|
1350 | DO k = nzb+1, nzb_max |
---|
1351 | |
---|
1352 | ibit20 = IBITS(wall_flags_0(k,j,i),20,1) |
---|
1353 | ibit19 = IBITS(wall_flags_0(k,j,i),19,1) |
---|
1354 | ibit18 = IBITS(wall_flags_0(k,j,i),18,1) |
---|
1355 | |
---|
1356 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
1357 | flux_r(k) = u_comp * ( & |
---|
1358 | ( 37.0 * ibit20 * adv_mom_5 & |
---|
1359 | + 7.0 * ibit19 * adv_mom_3 & |
---|
1360 | + ibit18 * adv_mom_1 & |
---|
1361 | ) * & |
---|
1362 | ( v(k,j,i+1) + v(k,j,i) ) & |
---|
1363 | - ( 8.0 * ibit20 * adv_mom_5 & |
---|
1364 | + ibit19 * adv_mom_3 & |
---|
1365 | ) * & |
---|
1366 | ( v(k,j,i+2) + v(k,j,i-1) ) & |
---|
1367 | + ( ibit20 * adv_mom_5 & |
---|
1368 | ) * & |
---|
1369 | ( v(k,j,i+3) + v(k,j,i-2) ) & |
---|
1370 | ) |
---|
1371 | |
---|
1372 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1373 | ( 10.0 * ibit20 * adv_mom_5 & |
---|
1374 | + 3.0 * ibit19 * adv_mom_3 & |
---|
1375 | + ibit18 * adv_mom_1 & |
---|
1376 | ) * & |
---|
1377 | ( v(k,j,i+1) - v(k,j,i) ) & |
---|
1378 | - ( 5.0 * ibit20 * adv_mom_5 & |
---|
1379 | + ibit19 * adv_mom_3 & |
---|
1380 | ) * & |
---|
1381 | ( v(k,j,i+2) - v(k,j,i-1) ) & |
---|
1382 | + ( ibit20 * adv_mom_5 & |
---|
1383 | ) * & |
---|
1384 | ( v(k,j,i+3) - v(k,j,i-2) ) & |
---|
1385 | ) |
---|
1386 | |
---|
1387 | ibit23 = IBITS(wall_flags_0(k,j,i),23,1) |
---|
1388 | ibit22 = IBITS(wall_flags_0(k,j,i),22,1) |
---|
1389 | ibit21 = IBITS(wall_flags_0(k,j,i),21,1) |
---|
1390 | |
---|
1391 | |
---|
1392 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
1393 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
---|
1394 | ( 37.0 * ibit23 * adv_mom_5 & |
---|
1395 | + 7.0 * ibit22 * adv_mom_3 & |
---|
1396 | + ibit21 * adv_mom_1 & |
---|
1397 | ) * & |
---|
1398 | ( v(k,j+1,i) + v(k,j,i) ) & |
---|
1399 | - ( 8.0 * ibit23 * adv_mom_5 & |
---|
1400 | + ibit22 * adv_mom_3 & |
---|
1401 | ) * & |
---|
1402 | ( v(k,j+2,i) + v(k,j-1,i) ) & |
---|
1403 | + ( ibit23 * adv_mom_5 & |
---|
1404 | ) * & |
---|
1405 | ( v(k,j+3,i) + v(k,j-2,i) ) & |
---|
1406 | ) |
---|
1407 | |
---|
1408 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
---|
1409 | ( 10.0 * ibit23 * adv_mom_5 & |
---|
1410 | + 3.0 * ibit22 * adv_mom_3 & |
---|
1411 | + ibit21 * adv_mom_1 & |
---|
1412 | ) * & |
---|
1413 | ( v(k,j+1,i) - v(k,j,i) ) & |
---|
1414 | - ( 5.0 * ibit23 * adv_mom_5 & |
---|
1415 | + ibit22 * adv_mom_3 & |
---|
1416 | ) * & |
---|
1417 | ( v(k,j+2,i) - v(k,j-1,i) ) & |
---|
1418 | + ( ibit23 * adv_mom_5 & |
---|
1419 | ) * & |
---|
1420 | ( v(k,j+3,i) - v(k,j-2,i) ) & |
---|
1421 | ) |
---|
1422 | ! |
---|
1423 | !-- k index has to be modified near bottom and top, else array |
---|
1424 | !-- subscripts will be exceeded. |
---|
1425 | ibit26 = IBITS(wall_flags_0(k,j,i),26,1) |
---|
1426 | ibit25 = IBITS(wall_flags_0(k,j,i),25,1) |
---|
1427 | ibit24 = IBITS(wall_flags_0(k,j,i),24,1) |
---|
1428 | |
---|
1429 | k_ppp = k + 3 * ibit26 |
---|
1430 | k_pp = k + 2 * ( 1 - ibit24 ) |
---|
1431 | k_mm = k - 2 * ibit26 |
---|
1432 | |
---|
1433 | w_comp = w(k,j-1,i) + w(k,j,i) |
---|
1434 | flux_t(k) = w_comp * ( & |
---|
1435 | ( 37.0 * ibit26 * adv_mom_5 & |
---|
1436 | + 7.0 * ibit25 * adv_mom_3 & |
---|
1437 | + ibit24 * adv_mom_1 & |
---|
1438 | ) * & |
---|
1439 | ( v(k+1,j,i) + v(k,j,i) ) & |
---|
1440 | - ( 8.0 * ibit26 * adv_mom_5 & |
---|
1441 | + ibit25 * adv_mom_3 & |
---|
1442 | ) * & |
---|
1443 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
---|
1444 | + ( ibit26 * adv_mom_5 & |
---|
1445 | ) * & |
---|
1446 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
---|
1447 | ) |
---|
1448 | |
---|
1449 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
1450 | ( 10.0 * ibit26 * adv_mom_5 & |
---|
1451 | + 3.0 * ibit25 * adv_mom_3 & |
---|
1452 | + ibit24 * adv_mom_1 & |
---|
1453 | ) * & |
---|
1454 | ( v(k+1,j,i) - v(k,j,i) ) & |
---|
1455 | - ( 5.0 * ibit26 * adv_mom_5 & |
---|
1456 | + ibit25 * adv_mom_3 & |
---|
1457 | ) * & |
---|
1458 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
---|
1459 | + ( ibit26 * adv_mom_5 & |
---|
1460 | ) * & |
---|
1461 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
---|
1462 | ) |
---|
1463 | ! |
---|
1464 | !-- Calculate the divergence of the velocity field. A respective |
---|
1465 | !-- correction is needed to overcome numerical instabilities introduced |
---|
1466 | !-- by a not sufficient reduction of divergences near topography. |
---|
1467 | div = ( ( u_comp + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
---|
1468 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
---|
1469 | + ( w_comp - ( w(k-1,j-1,i) + w(k-1,j,i) ) ) * ddzw(k) & |
---|
1470 | ) * 0.5 |
---|
1471 | |
---|
1472 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
1473 | ( flux_r(k) + diss_r(k) & |
---|
1474 | - flux_l_v(k,j,tn) - diss_l_v(k,j,tn) ) * ddx & |
---|
1475 | + ( flux_n(k) + diss_n(k) & |
---|
1476 | - flux_s_v(k,tn) - diss_s_v(k,tn) ) * ddy & |
---|
1477 | + ( flux_t(k) + diss_t(k) & |
---|
1478 | - flux_d - diss_d ) * ddzw(k) & |
---|
1479 | ) + v(k,j,i) * div |
---|
1480 | |
---|
1481 | flux_l_v(k,j,tn) = flux_r(k) |
---|
1482 | diss_l_v(k,j,tn) = diss_r(k) |
---|
1483 | flux_s_v(k,tn) = flux_n(k) |
---|
1484 | diss_s_v(k,tn) = diss_n(k) |
---|
1485 | flux_d = flux_t(k) |
---|
1486 | diss_d = diss_t(k) |
---|
1487 | |
---|
1488 | ! |
---|
1489 | !-- Statistical Evaluation of v'v'. The factor has to be applied for |
---|
1490 | !-- right evaluation when gallilei_trans = .T. . |
---|
1491 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
---|
1492 | + ( flux_n(k) & |
---|
1493 | * ( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
---|
1494 | / ( v_comp(k) - gv + 1.0E-20 ) & |
---|
1495 | + diss_n(k) & |
---|
1496 | * ABS( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
---|
1497 | / ( ABS( v_comp(k) - gv ) +1.0E-20 ) ) & |
---|
1498 | * weight_substep(intermediate_timestep_count) |
---|
1499 | ! |
---|
1500 | !-- Statistical Evaluation of w'v'. |
---|
1501 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
---|
1502 | + ( flux_t(k) + diss_t(k) ) & |
---|
1503 | * weight_substep(intermediate_timestep_count) |
---|
1504 | |
---|
1505 | ENDDO |
---|
1506 | |
---|
1507 | DO k = nzb_max+1, nzt |
---|
1508 | |
---|
1509 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
1510 | flux_r(k) = u_comp * ( & |
---|
1511 | 37.0 * ( v(k,j,i+1) + v(k,j,i) ) & |
---|
1512 | - 8.0 * ( v(k,j,i+2) + v(k,j,i-1) ) & |
---|
1513 | + ( v(k,j,i+3) + v(k,j,i-2) ) ) * adv_mom_5 |
---|
1514 | |
---|
1515 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1516 | 10.0 * ( v(k,j,i+1) - v(k,j,i) ) & |
---|
1517 | - 5.0 * ( v(k,j,i+2) - v(k,j,i-1) ) & |
---|
1518 | + ( v(k,j,i+3) - v(k,j,i-2) ) ) * adv_mom_5 |
---|
1519 | |
---|
1520 | |
---|
1521 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
1522 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
---|
1523 | 37.0 * ( v(k,j+1,i) + v(k,j,i) ) & |
---|
1524 | - 8.0 * ( v(k,j+2,i) + v(k,j-1,i) ) & |
---|
1525 | + ( v(k,j+3,i) + v(k,j-2,i) ) ) * adv_mom_5 |
---|
1526 | |
---|
1527 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
---|
1528 | 10.0 * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
1529 | - 5.0 * ( v(k,j+2,i) - v(k,j-1,i) ) & |
---|
1530 | + ( v(k,j+3,i) - v(k,j-2,i) ) ) * adv_mom_5 |
---|
1531 | ! |
---|
1532 | !-- k index has to be modified near bottom and top, else array |
---|
1533 | !-- subscripts will be exceeded. |
---|
1534 | ibit26 = IBITS(wall_flags_0(k,j,i),26,1) |
---|
1535 | ibit25 = IBITS(wall_flags_0(k,j,i),25,1) |
---|
1536 | ibit24 = IBITS(wall_flags_0(k,j,i),24,1) |
---|
1537 | |
---|
1538 | k_ppp = k + 3 * ibit26 |
---|
1539 | k_pp = k + 2 * ( 1 - ibit24 ) |
---|
1540 | k_mm = k - 2 * ibit26 |
---|
1541 | |
---|
1542 | w_comp = w(k,j-1,i) + w(k,j,i) |
---|
1543 | flux_t(k) = w_comp * ( & |
---|
1544 | ( 37.0 * ibit26 * adv_mom_5 & |
---|
1545 | + 7.0 * ibit25 * adv_mom_3 & |
---|
1546 | + ibit24 * adv_mom_1 & |
---|
1547 | ) * & |
---|
1548 | ( v(k+1,j,i) + v(k,j,i) ) & |
---|
1549 | - ( 8.0 * ibit26 * adv_mom_5 & |
---|
1550 | + ibit25 * adv_mom_3 & |
---|
1551 | ) * & |
---|
1552 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
---|
1553 | + ( ibit26 * adv_mom_5 & |
---|
1554 | ) * & |
---|
1555 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
---|
1556 | ) |
---|
1557 | |
---|
1558 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
1559 | ( 10.0 * ibit26 * adv_mom_5 & |
---|
1560 | + 3.0 * ibit25 * adv_mom_3 & |
---|
1561 | + ibit24 * adv_mom_1 & |
---|
1562 | ) * & |
---|
1563 | ( v(k+1,j,i) - v(k,j,i) ) & |
---|
1564 | - ( 5.0 * ibit26 * adv_mom_5 & |
---|
1565 | + ibit25 * adv_mom_3 & |
---|
1566 | ) * & |
---|
1567 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
---|
1568 | + ( ibit26 * adv_mom_5 & |
---|
1569 | ) * & |
---|
1570 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
---|
1571 | ) |
---|
1572 | ! |
---|
1573 | !-- Calculate the divergence of the velocity field. A respective |
---|
1574 | !-- correction is needed to overcome numerical instabilities introduced |
---|
1575 | !-- by a not sufficient reduction of divergences near topography. |
---|
1576 | div = ( ( u_comp + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
---|
1577 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
---|
1578 | + ( w_comp - ( w(k-1,j-1,i) + w(k-1,j,i) ) ) * ddzw(k) & |
---|
1579 | ) * 0.5 |
---|
1580 | |
---|
1581 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
1582 | ( flux_r(k) + diss_r(k) & |
---|
1583 | - flux_l_v(k,j,tn) - diss_l_v(k,j,tn) ) * ddx & |
---|
1584 | + ( flux_n(k) + diss_n(k) & |
---|
1585 | - flux_s_v(k,tn) - diss_s_v(k,tn) ) * ddy & |
---|
1586 | + ( flux_t(k) + diss_t(k) & |
---|
1587 | - flux_d - diss_d ) * ddzw(k) & |
---|
1588 | ) + v(k,j,i) * div |
---|
1589 | |
---|
1590 | flux_l_v(k,j,tn) = flux_r(k) |
---|
1591 | diss_l_v(k,j,tn) = diss_r(k) |
---|
1592 | flux_s_v(k,tn) = flux_n(k) |
---|
1593 | diss_s_v(k,tn) = diss_n(k) |
---|
1594 | flux_d = flux_t(k) |
---|
1595 | diss_d = diss_t(k) |
---|
1596 | |
---|
1597 | ! |
---|
1598 | !-- Statistical Evaluation of v'v'. The factor has to be applied for |
---|
1599 | !-- right evaluation when gallilei_trans = .T. . |
---|
1600 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
---|
1601 | + ( flux_n(k) & |
---|
1602 | * ( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
---|
1603 | / ( v_comp(k) - gv + 1.0E-20 ) & |
---|
1604 | + diss_n(k) & |
---|
1605 | * ABS( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
---|
1606 | / ( ABS( v_comp(k) - gv ) +1.0E-20 ) ) & |
---|
1607 | * weight_substep(intermediate_timestep_count) |
---|
1608 | ! |
---|
1609 | !-- Statistical Evaluation of w'v'. |
---|
1610 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
---|
1611 | + ( flux_t(k) + diss_t(k) ) & |
---|
1612 | * weight_substep(intermediate_timestep_count) |
---|
1613 | |
---|
1614 | ENDDO |
---|
1615 | sums_vs2_ws_l(nzb,tn) = sums_vs2_ws_l(nzb+1,tn) |
---|
1616 | |
---|
1617 | |
---|
1618 | END SUBROUTINE advec_v_ws_ij |
---|
1619 | |
---|
1620 | |
---|
1621 | |
---|
1622 | !------------------------------------------------------------------------------! |
---|
1623 | ! Advection of w-component - Call for grid point i,j |
---|
1624 | !------------------------------------------------------------------------------! |
---|
1625 | SUBROUTINE advec_w_ws_ij( i, j, i_omp, tn ) |
---|
1626 | |
---|
1627 | USE arrays_3d |
---|
1628 | USE constants |
---|
1629 | USE control_parameters |
---|
1630 | USE grid_variables |
---|
1631 | USE indices |
---|
1632 | USE statistics |
---|
1633 | |
---|
1634 | IMPLICIT NONE |
---|
1635 | |
---|
1636 | INTEGER :: i, ibit27, ibit28, ibit29, ibit30, ibit31, ibit32, ibit33, & |
---|
1637 | ibit34, ibit35, i_omp, j, k, k_mm, k_pp, k_ppp, tn |
---|
1638 | REAL :: diss_d, div, flux_d, gu, gv, u_comp, v_comp, w_comp |
---|
1639 | REAL, DIMENSION(nzb:nzt+1) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
---|
1640 | flux_t |
---|
1641 | |
---|
1642 | gu = 2.0 * u_gtrans |
---|
1643 | gv = 2.0 * v_gtrans |
---|
1644 | |
---|
1645 | ! |
---|
1646 | !-- Compute southside fluxes for the respective boundary. |
---|
1647 | IF ( j == nys ) THEN |
---|
1648 | |
---|
1649 | DO k = nzb+1, nzb_max |
---|
1650 | ibit32 = IBITS(wall_flags_00(k,j,i),0,1) |
---|
1651 | ibit31 = IBITS(wall_flags_0(k,j,i),31,1) |
---|
1652 | ibit30 = IBITS(wall_flags_0(k,j,i),30,1) |
---|
1653 | |
---|
1654 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
---|
1655 | flux_s_w(k,tn) = v_comp * ( & |
---|
1656 | ( 37.0 * ibit32 * adv_mom_5 & |
---|
1657 | + 7.0 * ibit31 * adv_mom_3 & |
---|
1658 | + ibit30 * adv_mom_1 & |
---|
1659 | ) * & |
---|
1660 | ( w(k,j,i) + w(k,j-1,i) ) & |
---|
1661 | - ( 8.0 * ibit32 * adv_mom_5 & |
---|
1662 | + ibit31 * adv_mom_3 & |
---|
1663 | ) * & |
---|
1664 | ( w(k,j+1,i) + w(k,j-2,i) ) & |
---|
1665 | + ( ibit32 * adv_mom_5 & |
---|
1666 | ) * & |
---|
1667 | ( w(k,j+2,i) + w(k,j-3,i) ) & |
---|
1668 | ) |
---|
1669 | |
---|
1670 | diss_s_w(k,tn) = - ABS( v_comp ) * ( & |
---|
1671 | ( 10.0 * ibit32 * adv_mom_5 & |
---|
1672 | + 3.0 * ibit31 * adv_mom_3 & |
---|
1673 | + ibit30 * adv_mom_1 & |
---|
1674 | ) * & |
---|
1675 | ( w(k,j,i) - w(k,j-1,i) ) & |
---|
1676 | - ( 5.0 * ibit32 * adv_mom_5 & |
---|
1677 | + ibit31 * adv_mom_3 & |
---|
1678 | ) * & |
---|
1679 | ( w(k,j+1,i) - w(k,j-2,i) ) & |
---|
1680 | + ( ibit32 * adv_mom_5 & |
---|
1681 | ) * & |
---|
1682 | ( w(k,j+2,i) - w(k,j-3,i) ) & |
---|
1683 | ) |
---|
1684 | |
---|
1685 | ENDDO |
---|
1686 | |
---|
1687 | DO k = nzb_max+1, nzt |
---|
1688 | |
---|
1689 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
---|
1690 | flux_s_w(k,tn) = v_comp * ( & |
---|
1691 | 37.0 * ( w(k,j,i) + w(k,j-1,i) ) & |
---|
1692 | - 8.0 * ( w(k,j+1,i) +w(k,j-2,i) ) & |
---|
1693 | + ( w(k,j+2,i) + w(k,j-3,i) ) ) * adv_mom_5 |
---|
1694 | diss_s_w(k,tn) = - ABS( v_comp ) * ( & |
---|
1695 | 10.0 * ( w(k,j,i) - w(k,j-1,i) ) & |
---|
1696 | - 5.0 * ( w(k,j+1,i) - w(k,j-2,i) ) & |
---|
1697 | + ( w(k,j+2,i) - w(k,j-3,i) ) ) * adv_mom_5 |
---|
1698 | |
---|
1699 | ENDDO |
---|
1700 | |
---|
1701 | ENDIF |
---|
1702 | ! |
---|
1703 | !-- Compute leftside fluxes for the respective boundary. |
---|
1704 | IF ( i == i_omp ) THEN |
---|
1705 | |
---|
1706 | DO k = nzb+1, nzb_max |
---|
1707 | |
---|
1708 | ibit29 = IBITS(wall_flags_0(k,j,i),29,1) |
---|
1709 | ibit28 = IBITS(wall_flags_0(k,j,i),28,1) |
---|
1710 | ibit27 = IBITS(wall_flags_0(k,j,i),27,1) |
---|
1711 | |
---|
1712 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
---|
1713 | flux_l_w(k,j,tn) = u_comp * ( & |
---|
1714 | ( 37.0 * ibit29 * adv_mom_5 & |
---|
1715 | + 7.0 * ibit28 * adv_mom_3 & |
---|
1716 | + ibit27 * adv_mom_1 & |
---|
1717 | ) * & |
---|
1718 | ( w(k,j,i) + w(k,j,i-1) ) & |
---|
1719 | - ( 8.0 * ibit29 * adv_mom_5 & |
---|
1720 | + ibit28 * adv_mom_3 & |
---|
1721 | ) * & |
---|
1722 | ( w(k,j,i+1) + w(k,j,i-2) ) & |
---|
1723 | + ( ibit29 * adv_mom_5 & |
---|
1724 | ) * & |
---|
1725 | ( w(k,j,i+2) + w(k,j,i-3) ) & |
---|
1726 | ) |
---|
1727 | |
---|
1728 | diss_l_w(k,j,tn) = - ABS( u_comp ) * ( & |
---|
1729 | ( 10.0 * ibit29 * adv_mom_5 & |
---|
1730 | + 3.0 * ibit28 * adv_mom_3 & |
---|
1731 | + ibit27 * adv_mom_1 & |
---|
1732 | ) * & |
---|
1733 | ( w(k,j,i) - w(k,j,i-1) ) & |
---|
1734 | - ( 5.0 * ibit29 * adv_mom_5 & |
---|
1735 | + ibit28 * adv_mom_3 & |
---|
1736 | ) * & |
---|
1737 | ( w(k,j,i+1) - w(k,j,i-2) ) & |
---|
1738 | + ( ibit29 * adv_mom_5 & |
---|
1739 | ) * & |
---|
1740 | ( w(k,j,i+2) - w(k,j,i-3) ) & |
---|
1741 | ) |
---|
1742 | |
---|
1743 | ENDDO |
---|
1744 | |
---|
1745 | DO k = nzb_max+1, nzt |
---|
1746 | |
---|
1747 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
---|
1748 | flux_l_w(k,j,tn) = u_comp * ( & |
---|
1749 | 37.0 * ( w(k,j,i) + w(k,j,i-1) ) & |
---|
1750 | - 8.0 * ( w(k,j,i+1) + w(k,j,i-2) ) & |
---|
1751 | + ( w(k,j,i+2) + w(k,j,i-3) ) ) * adv_mom_5 |
---|
1752 | diss_l_w(k,j,tn) = - ABS( u_comp ) * ( & |
---|
1753 | 10.0 * ( w(k,j,i) - w(k,j,i-1) ) & |
---|
1754 | - 5.0 * ( w(k,j,i+1) - w(k,j,i-2) ) & |
---|
1755 | + ( w(k,j,i+2) - w(k,j,i-3) ) ) * adv_mom_5 |
---|
1756 | |
---|
1757 | ENDDO |
---|
1758 | |
---|
1759 | ENDIF |
---|
1760 | ! |
---|
1761 | !-- The lower flux has to be calculated explicetely for the tendency at |
---|
1762 | !-- the first w-level. For topography wall this is done implicitely by |
---|
1763 | !-- wall_flags_0. |
---|
1764 | k = nzb + 1 |
---|
1765 | w_comp = w(k,j,i) + w(k-1,j,i) |
---|
1766 | flux_t(0) = w_comp * ( w(k,j,i) + w(k-1,j,i) ) * adv_mom_1 |
---|
1767 | diss_t(0) = -ABS(w_comp) * ( w(k,j,i) - w(k-1,j,i) ) * adv_mom_1 |
---|
1768 | flux_d = flux_t(0) |
---|
1769 | diss_d = diss_t(0) |
---|
1770 | ! |
---|
1771 | !-- Now compute the fluxes and tendency terms for the horizontal |
---|
1772 | !-- and vertical parts. |
---|
1773 | DO k = nzb+1, nzb_max |
---|
1774 | |
---|
1775 | ibit29 = IBITS(wall_flags_0(k,j,i),29,1) |
---|
1776 | ibit28 = IBITS(wall_flags_0(k,j,i),28,1) |
---|
1777 | ibit27 = IBITS(wall_flags_0(k,j,i),27,1) |
---|
1778 | |
---|
1779 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
---|
1780 | flux_r(k) = u_comp * ( & |
---|
1781 | ( 37.0 * ibit29 * adv_mom_5 & |
---|
1782 | + 7.0 * ibit28 * adv_mom_3 & |
---|
1783 | + ibit27 * adv_mom_1 & |
---|
1784 | ) * & |
---|
1785 | ( w(k,j,i+1) + w(k,j,i) ) & |
---|
1786 | - ( 8.0 * ibit29 * adv_mom_5 & |
---|
1787 | + ibit28 * adv_mom_3 & |
---|
1788 | ) * & |
---|
1789 | ( w(k,j,i+2) + w(k,j,i-1) ) & |
---|
1790 | + ( ibit29 * adv_mom_5 & |
---|
1791 | ) * & |
---|
1792 | ( w(k,j,i+3) + w(k,j,i-2) ) & |
---|
1793 | ) |
---|
1794 | |
---|
1795 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1796 | ( 10.0 * ibit29 * adv_mom_5 & |
---|
1797 | + 3.0 * ibit28 * adv_mom_3 & |
---|
1798 | + ibit27 * adv_mom_1 & |
---|
1799 | ) * & |
---|
1800 | ( w(k,j,i+1) - w(k,j,i) ) & |
---|
1801 | - ( 5.0 * ibit29 * adv_mom_5 & |
---|
1802 | + ibit28 * adv_mom_3 & |
---|
1803 | ) * & |
---|
1804 | ( w(k,j,i+2) - w(k,j,i-1) ) & |
---|
1805 | + ( ibit29 * adv_mom_5 & |
---|
1806 | ) * & |
---|
1807 | ( w(k,j,i+3) - w(k,j,i-2) ) & |
---|
1808 | ) |
---|
1809 | |
---|
1810 | ibit32 = IBITS(wall_flags_00(k,j,i),0,1) |
---|
1811 | ibit31 = IBITS(wall_flags_0(k,j,i),31,1) |
---|
1812 | ibit30 = IBITS(wall_flags_0(k,j,i),30,1) |
---|
1813 | |
---|
1814 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
---|
1815 | flux_n(k) = v_comp * ( & |
---|
1816 | ( 37.0 * ibit32 * adv_mom_5 & |
---|
1817 | + 7.0 * ibit31 * adv_mom_3 & |
---|
1818 | + ibit30 * adv_mom_1 & |
---|
1819 | ) * & |
---|
1820 | ( w(k,j+1,i) + w(k,j,i) ) & |
---|
1821 | - ( 8.0 * ibit32 * adv_mom_5 & |
---|
1822 | + ibit31 * adv_mom_3 & |
---|
1823 | ) * & |
---|
1824 | ( w(k,j+2,i) + w(k,j-1,i) ) & |
---|
1825 | + ( ibit32 * adv_mom_5 & |
---|
1826 | ) * & |
---|
1827 | ( w(k,j+3,i) + w(k,j-2,i) ) & |
---|
1828 | ) |
---|
1829 | |
---|
1830 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
1831 | ( 10.0 * ibit32 * adv_mom_5 & |
---|
1832 | + 3.0 * ibit31 * adv_mom_3 & |
---|
1833 | + ibit30 * adv_mom_1 & |
---|
1834 | ) * & |
---|
1835 | ( w(k,j+1,i) - w(k,j,i) ) & |
---|
1836 | - ( 5.0 * ibit32 * adv_mom_5 & |
---|
1837 | + ibit31 * adv_mom_3 & |
---|
1838 | ) * & |
---|
1839 | ( w(k,j+2,i) - w(k,j-1,i) ) & |
---|
1840 | + ( ibit32 * adv_mom_5 & |
---|
1841 | ) * & |
---|
1842 | ( w(k,j+3,i) - w(k,j-2,i) ) & |
---|
1843 | ) |
---|
1844 | ! |
---|
1845 | !-- k index has to be modified near bottom and top, else array |
---|
1846 | !-- subscripts will be exceeded. |
---|
1847 | ibit35 = IBITS(wall_flags_00(k,j,i),3,1) |
---|
1848 | ibit34 = IBITS(wall_flags_00(k,j,i),2,1) |
---|
1849 | ibit33 = IBITS(wall_flags_00(k,j,i),1,1) |
---|
1850 | |
---|
1851 | k_ppp = k + 3 * ibit35 |
---|
1852 | k_pp = k + 2 * ( 1 - ibit33 ) |
---|
1853 | k_mm = k - 2 * ibit35 |
---|
1854 | |
---|
1855 | w_comp = w(k+1,j,i) + w(k,j,i) |
---|
1856 | flux_t(k) = w_comp * ( & |
---|
1857 | ( 37.0 * ibit35 * adv_mom_5 & |
---|
1858 | + 7.0 * ibit34 * adv_mom_3 & |
---|
1859 | + ibit33 * adv_mom_1 & |
---|
1860 | ) * & |
---|
1861 | ( w(k+1,j,i) + w(k,j,i) ) & |
---|
1862 | - ( 8.0 * ibit35 * adv_mom_5 & |
---|
1863 | + ibit34 * adv_mom_3 & |
---|
1864 | ) * & |
---|
1865 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
---|
1866 | + ( ibit35 * adv_mom_5 & |
---|
1867 | ) * & |
---|
1868 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
---|
1869 | ) |
---|
1870 | |
---|
1871 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
1872 | ( 10.0 * ibit35 * adv_mom_5 & |
---|
1873 | + 3.0 * ibit34 * adv_mom_3 & |
---|
1874 | + ibit33 * adv_mom_1 & |
---|
1875 | ) * & |
---|
1876 | ( w(k+1,j,i) - w(k,j,i) ) & |
---|
1877 | - ( 5.0 * ibit35 * adv_mom_5 & |
---|
1878 | + ibit34 * adv_mom_3 & |
---|
1879 | ) * & |
---|
1880 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
---|
1881 | + ( ibit35 * adv_mom_5 & |
---|
1882 | ) * & |
---|
1883 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
---|
1884 | ) |
---|
1885 | |
---|
1886 | ! |
---|
1887 | !-- Calculate the divergence of the velocity field. A respective |
---|
1888 | !-- correction is needed to overcome numerical instabilities introduced |
---|
1889 | !-- by a not sufficient reduction of divergences near topography. |
---|
1890 | div = ( ( u_comp + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
---|
1891 | + ( v_comp + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
---|
1892 | + ( w_comp - ( w(k,j,i) + w(k-1,j,i) ) ) * ddzu(k+1) & |
---|
1893 | ) * 0.5 |
---|
1894 | |
---|
1895 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
1896 | ( flux_r(k) + diss_r(k) & |
---|
1897 | - flux_l_w(k,j,tn) - diss_l_w(k,j,tn) ) * ddx & |
---|
1898 | + ( flux_n(k) + diss_n(k) & |
---|
1899 | - flux_s_w(k,tn) - diss_s_w(k,tn) ) * ddy & |
---|
1900 | + ( flux_t(k) + diss_t(k) & |
---|
1901 | - flux_d - diss_d ) * ddzu(k+1) & |
---|
1902 | ) + div * w(k,j,i) |
---|
1903 | |
---|
1904 | flux_l_w(k,j,tn) = flux_r(k) |
---|
1905 | diss_l_w(k,j,tn) = diss_r(k) |
---|
1906 | flux_s_w(k,tn) = flux_n(k) |
---|
1907 | diss_s_w(k,tn) = diss_n(k) |
---|
1908 | flux_d = flux_t(k) |
---|
1909 | diss_d = diss_t(k) |
---|
1910 | ! |
---|
1911 | !-- Statistical Evaluation of w'w'. |
---|
1912 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
---|
1913 | + ( flux_t(k) + diss_t(k) ) & |
---|
1914 | * weight_substep(intermediate_timestep_count) |
---|
1915 | |
---|
1916 | ENDDO |
---|
1917 | |
---|
1918 | DO k = nzb_max+1, nzt |
---|
1919 | |
---|
1920 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
---|
1921 | flux_r(k) = u_comp * ( & |
---|
1922 | 37.0 * ( w(k,j,i+1) + w(k,j,i) ) & |
---|
1923 | - 8.0 * ( w(k,j,i+2) + w(k,j,i-1) ) & |
---|
1924 | + ( w(k,j,i+3) + w(k,j,i-2) ) ) * adv_mom_5 |
---|
1925 | |
---|
1926 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1927 | 10.0 * ( w(k,j,i+1) - w(k,j,i) ) & |
---|
1928 | - 5.0 * ( w(k,j,i+2) - w(k,j,i-1) ) & |
---|
1929 | + ( w(k,j,i+3) - w(k,j,i-2) ) ) * adv_mom_5 |
---|
1930 | |
---|
1931 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
---|
1932 | flux_n(k) = v_comp * ( & |
---|
1933 | 37.0 * ( w(k,j+1,i) + w(k,j,i) ) & |
---|
1934 | - 8.0 * ( w(k,j+2,i) + w(k,j-1,i) ) & |
---|
1935 | + ( w(k,j+3,i) + w(k,j-2,i) ) ) * adv_mom_5 |
---|
1936 | |
---|
1937 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
1938 | 10.0 * ( w(k,j+1,i) - w(k,j,i) ) & |
---|
1939 | - 5.0 * ( w(k,j+2,i) - w(k,j-1,i) ) & |
---|
1940 | + ( w(k,j+3,i) - w(k,j-2,i) ) ) * adv_mom_5 |
---|
1941 | ! |
---|
1942 | !-- k index has to be modified near bottom and top, else array |
---|
1943 | !-- subscripts will be exceeded. |
---|
1944 | ibit35 = IBITS(wall_flags_00(k,j,i),3,1) |
---|
1945 | ibit34 = IBITS(wall_flags_00(k,j,i),2,1) |
---|
1946 | ibit33 = IBITS(wall_flags_00(k,j,i),1,1) |
---|
1947 | |
---|
1948 | k_ppp = k + 3 * ibit35 |
---|
1949 | k_pp = k + 2 * ( 1 - ibit33 ) |
---|
1950 | k_mm = k - 2 * ibit35 |
---|
1951 | |
---|
1952 | w_comp = w(k+1,j,i) + w(k,j,i) |
---|
1953 | flux_t(k) = w_comp * ( & |
---|
1954 | ( 37.0 * ibit35 * adv_mom_5 & |
---|
1955 | + 7.0 * ibit34 * adv_mom_3 & |
---|
1956 | + ibit33 * adv_mom_1 & |
---|
1957 | ) * & |
---|
1958 | ( w(k+1,j,i) + w(k,j,i) ) & |
---|
1959 | - ( 8.0 * ibit35 * adv_mom_5 & |
---|
1960 | + ibit34 * adv_mom_3 & |
---|
1961 | ) * & |
---|
1962 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
---|
1963 | + ( ibit35 * adv_mom_5 & |
---|
1964 | ) * & |
---|
1965 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
---|
1966 | ) |
---|
1967 | |
---|
1968 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
1969 | ( 10.0 * ibit35 * adv_mom_5 & |
---|
1970 | + 3.0 * ibit34 * adv_mom_3 & |
---|
1971 | + ibit33 * adv_mom_1 & |
---|
1972 | ) * & |
---|
1973 | ( w(k+1,j,i) - w(k,j,i) ) & |
---|
1974 | - ( 5.0 * ibit35 * adv_mom_5 & |
---|
1975 | + ibit34 * adv_mom_3 & |
---|
1976 | ) * & |
---|
1977 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
---|
1978 | + ( ibit35 * adv_mom_5 & |
---|
1979 | ) * & |
---|
1980 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
---|
1981 | ) |
---|
1982 | ! |
---|
1983 | !-- Calculate the divergence of the velocity field. A respective |
---|
1984 | !-- correction is needed to overcome numerical instabilities introduced |
---|
1985 | !-- by a not sufficient reduction of divergences near topography. |
---|
1986 | div = ( ( u_comp + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
---|
1987 | + ( v_comp + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
---|
1988 | + ( w_comp - ( w(k,j,i) + w(k-1,j,i) ) ) * ddzu(k+1) & |
---|
1989 | ) * 0.5 |
---|
1990 | |
---|
1991 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
1992 | ( flux_r(k) + diss_r(k) & |
---|
1993 | - flux_l_w(k,j,tn) - diss_l_w(k,j,tn) ) * ddx & |
---|
1994 | + ( flux_n(k) + diss_n(k) & |
---|
1995 | - flux_s_w(k,tn) - diss_s_w(k,tn) ) * ddy & |
---|
1996 | + ( flux_t(k) + diss_t(k) & |
---|
1997 | - flux_d - diss_d ) * ddzu(k+1) & |
---|
1998 | ) + div * w(k,j,i) |
---|
1999 | |
---|
2000 | flux_l_w(k,j,tn) = flux_r(k) |
---|
2001 | diss_l_w(k,j,tn) = diss_r(k) |
---|
2002 | flux_s_w(k,tn) = flux_n(k) |
---|
2003 | diss_s_w(k,tn) = diss_n(k) |
---|
2004 | flux_d = flux_t(k) |
---|
2005 | diss_d = diss_t(k) |
---|
2006 | ! |
---|
2007 | !-- Statistical Evaluation of w'w'. |
---|
2008 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
---|
2009 | + ( flux_t(k) + diss_t(k) ) & |
---|
2010 | * weight_substep(intermediate_timestep_count) |
---|
2011 | |
---|
2012 | ENDDO |
---|
2013 | |
---|
2014 | |
---|
2015 | END SUBROUTINE advec_w_ws_ij |
---|
2016 | |
---|
2017 | |
---|
2018 | !------------------------------------------------------------------------------! |
---|
2019 | ! Scalar advection - Call for all grid points |
---|
2020 | !------------------------------------------------------------------------------! |
---|
2021 | SUBROUTINE advec_s_ws( sk, sk_char ) |
---|
2022 | |
---|
2023 | USE arrays_3d |
---|
2024 | USE constants |
---|
2025 | USE control_parameters |
---|
2026 | USE grid_variables |
---|
2027 | USE indices |
---|
2028 | USE statistics |
---|
2029 | |
---|
2030 | IMPLICIT NONE |
---|
2031 | |
---|
2032 | INTEGER :: i, ibit0, ibit1, ibit2, ibit3, ibit4, ibit5, ibit6, & |
---|
2033 | ibit7, ibit8, j, k, k_mm, k_pp, k_ppp, tn = 0 |
---|
2034 | #if defined( __nopointer ) |
---|
2035 | REAL, DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk |
---|
2036 | #else |
---|
2037 | REAL, DIMENSION(:,:,:), POINTER :: sk |
---|
2038 | #endif |
---|
2039 | REAL :: diss_d, div, flux_d, u_comp, v_comp |
---|
2040 | REAL, DIMENSION(nzb:nzt) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
---|
2041 | flux_t |
---|
2042 | REAL, DIMENSION(nzb+1:nzt) :: swap_diss_y_local, swap_flux_y_local |
---|
2043 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local, & |
---|
2044 | swap_flux_x_local |
---|
2045 | CHARACTER (LEN = *), INTENT(IN) :: sk_char |
---|
2046 | |
---|
2047 | ! |
---|
2048 | !-- Compute the fluxes for the whole left boundary of the processor domain. |
---|
2049 | i = nxl |
---|
2050 | DO j = nys, nyn |
---|
2051 | |
---|
2052 | DO k = nzb+1, nzb_max |
---|
2053 | |
---|
2054 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
---|
2055 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
---|
2056 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
---|
2057 | |
---|
2058 | u_comp = u(k,j,i) - u_gtrans |
---|
2059 | swap_flux_x_local(k,j) = u_comp * ( & |
---|
2060 | ( 37.0 * ibit2 * adv_sca_5 & |
---|
2061 | + 7.0 * ibit1 * adv_sca_3 & |
---|
2062 | + ibit0 * adv_sca_1 & |
---|
2063 | ) * & |
---|
2064 | ( sk(k,j,i) + sk(k,j,i-1) ) & |
---|
2065 | - ( 8.0 * ibit2 * adv_sca_5 & |
---|
2066 | + ibit1 * adv_sca_3 & |
---|
2067 | ) * & |
---|
2068 | ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
---|
2069 | + ( ibit2 * adv_sca_5 & |
---|
2070 | ) * & |
---|
2071 | ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
---|
2072 | ) |
---|
2073 | |
---|
2074 | swap_diss_x_local(k,j) = -ABS( u_comp ) * ( & |
---|
2075 | ( 10.0 * ibit2 * adv_sca_5 & |
---|
2076 | + 3.0 * ibit1 * adv_sca_3 & |
---|
2077 | + ibit0 * adv_sca_1 & |
---|
2078 | ) * & |
---|
2079 | ( sk(k,j,i) - sk(k,j,i-1) ) & |
---|
2080 | - ( 5.0 * ibit2 * adv_sca_5 & |
---|
2081 | + ibit1 * adv_sca_3 & |
---|
2082 | ) * & |
---|
2083 | ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
---|
2084 | + ( ibit2 * adv_sca_5 & |
---|
2085 | ) * & |
---|
2086 | ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
---|
2087 | ) |
---|
2088 | |
---|
2089 | ENDDO |
---|
2090 | |
---|
2091 | DO k = nzb_max+1, nzt |
---|
2092 | |
---|
2093 | u_comp = u(k,j,i) - u_gtrans |
---|
2094 | swap_flux_x_local(k,j) = u_comp * ( & |
---|
2095 | 37.0 * ( sk(k,j,i) + sk(k,j,i-1) ) & |
---|
2096 | - 8.0 * ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
---|
2097 | + ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
---|
2098 | ) * adv_sca_5 |
---|
2099 | |
---|
2100 | swap_diss_x_local(k,j) = -ABS( u_comp ) * ( & |
---|
2101 | 10.0 * ( sk(k,j,i) - sk(k,j,i-1) ) & |
---|
2102 | - 5.0 * ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
---|
2103 | + ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
---|
2104 | ) * adv_sca_5 |
---|
2105 | |
---|
2106 | ENDDO |
---|
2107 | |
---|
2108 | ENDDO |
---|
2109 | |
---|
2110 | DO i = nxl, nxr |
---|
2111 | |
---|
2112 | j = nys |
---|
2113 | DO k = nzb+1, nzb_max |
---|
2114 | |
---|
2115 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
---|
2116 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
---|
2117 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
---|
2118 | |
---|
2119 | v_comp = v(k,j,i) - v_gtrans |
---|
2120 | swap_flux_y_local(k) = v_comp * ( & |
---|
2121 | ( 37.0 * ibit5 * adv_sca_5 & |
---|
2122 | + 7.0 * ibit4 * adv_sca_3 & |
---|
2123 | + ibit3 * adv_sca_1 & |
---|
2124 | ) * & |
---|
2125 | ( sk(k,j,i) + sk(k,j-1,i) ) & |
---|
2126 | - ( 8.0 * ibit5 * adv_sca_5 & |
---|
2127 | + ibit4 * adv_sca_3 & |
---|
2128 | ) * & |
---|
2129 | ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
---|
2130 | + ( ibit5 * adv_sca_5 & |
---|
2131 | ) * & |
---|
2132 | ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
---|
2133 | ) |
---|
2134 | |
---|
2135 | swap_diss_y_local(k) = -ABS( v_comp ) * ( & |
---|
2136 | ( 10.0 * ibit5 * adv_sca_5 & |
---|
2137 | + 3.0 * ibit4 * adv_sca_3 & |
---|
2138 | + ibit3 * adv_sca_1 & |
---|
2139 | ) * & |
---|
2140 | ( sk(k,j,i) - sk(k,j-1,i) ) & |
---|
2141 | - ( 5.0 * ibit5 * adv_sca_5 & |
---|
2142 | + ibit4 * adv_sca_3 & |
---|
2143 | ) * & |
---|
2144 | ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
---|
2145 | + ( ibit5 * adv_sca_5 & |
---|
2146 | ) * & |
---|
2147 | ( sk(k,j+2,i) - sk(k,j-3,i) ) & |
---|
2148 | ) |
---|
2149 | |
---|
2150 | ENDDO |
---|
2151 | ! |
---|
2152 | !-- Above to the top of the highest topography. No degradation necessary. |
---|
2153 | DO k = nzb_max+1, nzt |
---|
2154 | |
---|
2155 | v_comp = v(k,j,i) - v_gtrans |
---|
2156 | swap_flux_y_local(k) = v_comp * ( & |
---|
2157 | 37.0 * ( sk(k,j,i) + sk(k,j-1,i) ) & |
---|
2158 | - 8.0 * ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
---|
2159 | + ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
---|
2160 | ) * adv_sca_5 |
---|
2161 | swap_diss_y_local(k) = -ABS( v_comp ) * ( & |
---|
2162 | 10.0 * ( sk(k,j,i) - sk(k,j-1,i) ) & |
---|
2163 | - 5.0 * ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
---|
2164 | + sk(k,j+2,i) - sk(k,j-3,i) & |
---|
2165 | ) * adv_sca_5 |
---|
2166 | |
---|
2167 | ENDDO |
---|
2168 | |
---|
2169 | DO j = nys, nyn |
---|
2170 | |
---|
2171 | flux_t(0) = 0.0 |
---|
2172 | diss_t(0) = 0.0 |
---|
2173 | flux_d = 0.0 |
---|
2174 | diss_d = 0.0 |
---|
2175 | |
---|
2176 | DO k = nzb+1, nzb_max |
---|
2177 | |
---|
2178 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
---|
2179 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
---|
2180 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
---|
2181 | |
---|
2182 | u_comp = u(k,j,i+1) - u_gtrans |
---|
2183 | flux_r(k) = u_comp * ( & |
---|
2184 | ( 37.0 * ibit2 * adv_sca_5 & |
---|
2185 | + 7.0 * ibit1 * adv_sca_3 & |
---|
2186 | + ibit0 * adv_sca_1 & |
---|
2187 | ) * & |
---|
2188 | ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
2189 | - ( 8.0 * ibit2 * adv_sca_5 & |
---|
2190 | + ibit1 * adv_sca_3 & |
---|
2191 | ) * & |
---|
2192 | ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
---|
2193 | + ( ibit2 * adv_sca_5 & |
---|
2194 | ) * & |
---|
2195 | ( sk(k,j,i+3) + sk(k,j,i-2) ) & |
---|
2196 | ) |
---|
2197 | |
---|
2198 | diss_r(k) = -ABS( u_comp ) * ( & |
---|
2199 | ( 10.0 * ibit2 * adv_sca_5 & |
---|
2200 | + 3.0 * ibit1 * adv_sca_3 & |
---|
2201 | + ibit0 * adv_sca_1 & |
---|
2202 | ) * & |
---|
2203 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
2204 | - ( 5.0 * ibit2 * adv_sca_5 & |
---|
2205 | + ibit1 * adv_sca_3 & |
---|
2206 | ) * & |
---|
2207 | ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
---|
2208 | + ( ibit2 * adv_sca_5 & |
---|
2209 | ) * & |
---|
2210 | ( sk(k,j,i+3) - sk(k,j,i-2) ) & |
---|
2211 | ) |
---|
2212 | |
---|
2213 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
---|
2214 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
---|
2215 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
---|
2216 | |
---|
2217 | v_comp = v(k,j+1,i) - v_gtrans |
---|
2218 | flux_n(k) = v_comp * ( & |
---|
2219 | ( 37.0 * ibit5 * adv_sca_5 & |
---|
2220 | + 7.0 * ibit4 * adv_sca_3 & |
---|
2221 | + ibit3 * adv_sca_1 & |
---|
2222 | ) * & |
---|
2223 | ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
2224 | - ( 8.0 * ibit5 * adv_sca_5 & |
---|
2225 | + ibit4 * adv_sca_3 & |
---|
2226 | ) * & |
---|
2227 | ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
---|
2228 | + ( ibit5 * adv_sca_5 & |
---|
2229 | ) * & |
---|
2230 | ( sk(k,j+3,i) + sk(k,j-2,i) ) & |
---|
2231 | ) |
---|
2232 | |
---|
2233 | diss_n(k) = -ABS( v_comp ) * ( & |
---|
2234 | ( 10.0 * ibit5 * adv_sca_5 & |
---|
2235 | + 3.0 * ibit4 * adv_sca_3 & |
---|
2236 | + ibit3 * adv_sca_1 & |
---|
2237 | ) * & |
---|
2238 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
2239 | - ( 5.0 * ibit5 * adv_sca_5 & |
---|
2240 | + ibit4 * adv_sca_3 & |
---|
2241 | ) * & |
---|
2242 | ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
---|
2243 | + ( ibit5 * adv_sca_5 & |
---|
2244 | ) * & |
---|
2245 | ( sk(k,j+3,i) - sk(k,j-2,i) ) & |
---|
2246 | ) |
---|
2247 | ! |
---|
2248 | !-- k index has to be modified near bottom and top, else array |
---|
2249 | !-- subscripts will be exceeded. |
---|
2250 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
---|
2251 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
---|
2252 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
---|
2253 | |
---|
2254 | k_ppp = k + 3 * ibit8 |
---|
2255 | k_pp = k + 2 * ( 1 - ibit6 ) |
---|
2256 | k_mm = k - 2 * ibit8 |
---|
2257 | |
---|
2258 | |
---|
2259 | flux_t(k) = w(k,j,i) * ( & |
---|
2260 | ( 37.0 * ibit8 * adv_sca_5 & |
---|
2261 | + 7.0 * ibit7 * adv_sca_3 & |
---|
2262 | + ibit6 * adv_sca_1 & |
---|
2263 | ) * & |
---|
2264 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
---|
2265 | - ( 8.0 * ibit8 * adv_sca_5 & |
---|
2266 | + ibit7 * adv_sca_3 & |
---|
2267 | ) * & |
---|
2268 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
---|
2269 | + ( ibit8 * adv_sca_5 & |
---|
2270 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
---|
2271 | ) |
---|
2272 | |
---|
2273 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
---|
2274 | ( 10.0 * ibit8 * adv_sca_5 & |
---|
2275 | + 3.0 * ibit7 * adv_sca_3 & |
---|
2276 | + ibit6 * adv_sca_1 & |
---|
2277 | ) * & |
---|
2278 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
---|
2279 | - ( 5.0 * ibit8 * adv_sca_5 & |
---|
2280 | + ibit7 * adv_sca_3 & |
---|
2281 | ) * & |
---|
2282 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
---|
2283 | + ( ibit8 * adv_sca_5 & |
---|
2284 | ) * & |
---|
2285 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
---|
2286 | ) |
---|
2287 | ! |
---|
2288 | !-- Calculate the divergence of the velocity field. A respective |
---|
2289 | !-- correction is needed to overcome numerical instabilities caused |
---|
2290 | !-- by a not sufficient reduction of divergences near topography. |
---|
2291 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
---|
2292 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
---|
2293 | + ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
2294 | |
---|
2295 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
2296 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j) - & |
---|
2297 | swap_diss_x_local(k,j) ) * ddx & |
---|
2298 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k) - & |
---|
2299 | swap_diss_y_local(k) ) * ddy & |
---|
2300 | + ( flux_t(k) + diss_t(k) - flux_d - diss_d & |
---|
2301 | ) * ddzw(k) & |
---|
2302 | ) + sk(k,j,i) * div |
---|
2303 | |
---|
2304 | swap_flux_y_local(k) = flux_n(k) |
---|
2305 | swap_diss_y_local(k) = diss_n(k) |
---|
2306 | swap_flux_x_local(k,j) = flux_r(k) |
---|
2307 | swap_diss_x_local(k,j) = diss_r(k) |
---|
2308 | flux_d = flux_t(k) |
---|
2309 | diss_d = diss_t(k) |
---|
2310 | |
---|
2311 | ENDDO |
---|
2312 | |
---|
2313 | DO k = nzb_max+1, nzt |
---|
2314 | |
---|
2315 | u_comp = u(k,j,i+1) - u_gtrans |
---|
2316 | flux_r(k) = u_comp * ( & |
---|
2317 | 37.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
2318 | - 8.0 * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
---|
2319 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) * adv_sca_5 |
---|
2320 | diss_r(k) = -ABS( u_comp ) * ( & |
---|
2321 | 10.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
2322 | - 5.0 * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
---|
2323 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) * adv_sca_5 |
---|
2324 | |
---|
2325 | v_comp = v(k,j+1,i) - v_gtrans |
---|
2326 | flux_n(k) = v_comp * ( & |
---|
2327 | 37.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
2328 | - 8.0 * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
---|
2329 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) * adv_sca_5 |
---|
2330 | diss_n(k) = -ABS( v_comp ) * ( & |
---|
2331 | 10.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
2332 | - 5.0 * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
---|
2333 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) * adv_sca_5 |
---|
2334 | ! |
---|
2335 | !-- k index has to be modified near bottom and top, else array |
---|
2336 | !-- subscripts will be exceeded. |
---|
2337 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
---|
2338 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
---|
2339 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
---|
2340 | |
---|
2341 | k_ppp = k + 3 * ibit8 |
---|
2342 | k_pp = k + 2 * ( 1 - ibit6 ) |
---|
2343 | k_mm = k - 2 * ibit8 |
---|
2344 | |
---|
2345 | |
---|
2346 | flux_t(k) = w(k,j,i) * ( & |
---|
2347 | ( 37.0 * ibit8 * adv_sca_5 & |
---|
2348 | + 7.0 * ibit7 * adv_sca_3 & |
---|
2349 | + ibit6 * adv_sca_1 & |
---|
2350 | ) * & |
---|
2351 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
---|
2352 | - ( 8.0 * ibit8 * adv_sca_5 & |
---|
2353 | + ibit7 * adv_sca_3 & |
---|
2354 | ) * & |
---|
2355 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
---|
2356 | + ( ibit8 * adv_sca_5 & |
---|
2357 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
---|
2358 | ) |
---|
2359 | |
---|
2360 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
---|
2361 | ( 10.0 * ibit8 * adv_sca_5 & |
---|
2362 | + 3.0 * ibit7 * adv_sca_3 & |
---|
2363 | + ibit6 * adv_sca_1 & |
---|
2364 | ) * & |
---|
2365 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
---|
2366 | - ( 5.0 * ibit8 * adv_sca_5 & |
---|
2367 | + ibit7 * adv_sca_3 & |
---|
2368 | ) * & |
---|
2369 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
---|
2370 | + ( ibit8 * adv_sca_5 & |
---|
2371 | ) * & |
---|
2372 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
---|
2373 | ) |
---|
2374 | ! |
---|
2375 | !-- Calculate the divergence of the velocity field. A respective |
---|
2376 | !-- correction is needed to overcome numerical instabilities introduced |
---|
2377 | !-- by a not sufficient reduction of divergences near topography. |
---|
2378 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
---|
2379 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
---|
2380 | + ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
2381 | |
---|
2382 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
2383 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j) - & |
---|
2384 | swap_diss_x_local(k,j) ) * ddx & |
---|
2385 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k) - & |
---|
2386 | swap_diss_y_local(k) ) * ddy & |
---|
2387 | + ( flux_t(k) + diss_t(k) - flux_d - diss_d & |
---|
2388 | ) * ddzw(k) & |
---|
2389 | ) + sk(k,j,i) * div |
---|
2390 | |
---|
2391 | swap_flux_y_local(k) = flux_n(k) |
---|
2392 | swap_diss_y_local(k) = diss_n(k) |
---|
2393 | swap_flux_x_local(k,j) = flux_r(k) |
---|
2394 | swap_diss_x_local(k,j) = diss_r(k) |
---|
2395 | flux_d = flux_t(k) |
---|
2396 | diss_d = diss_t(k) |
---|
2397 | |
---|
2398 | ENDDO |
---|
2399 | ! |
---|
2400 | !-- evaluation of statistics |
---|
2401 | SELECT CASE ( sk_char ) |
---|
2402 | |
---|
2403 | CASE ( 'pt' ) |
---|
2404 | DO k = nzb, nzt |
---|
2405 | sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) & |
---|
2406 | + ( flux_t(k) + diss_t(k) ) & |
---|
2407 | * weight_substep(intermediate_timestep_count) |
---|
2408 | ENDDO |
---|
2409 | CASE ( 'sa' ) |
---|
2410 | DO k = nzb, nzt |
---|
2411 | sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) & |
---|
2412 | + ( flux_t(k) + diss_t(k) ) & |
---|
2413 | * weight_substep(intermediate_timestep_count) |
---|
2414 | ENDDO |
---|
2415 | CASE ( 'q' ) |
---|
2416 | DO k = nzb, nzt |
---|
2417 | sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) & |
---|
2418 | + ( flux_t(k) + diss_t(k) ) & |
---|
2419 | * weight_substep(intermediate_timestep_count) |
---|
2420 | ENDDO |
---|
2421 | |
---|
2422 | END SELECT |
---|
2423 | |
---|
2424 | ENDDO |
---|
2425 | ENDDO |
---|
2426 | |
---|
2427 | END SUBROUTINE advec_s_ws |
---|
2428 | |
---|
2429 | |
---|
2430 | !------------------------------------------------------------------------------! |
---|
2431 | ! Scalar advection - Call for all grid points - accelerator version |
---|
2432 | !------------------------------------------------------------------------------! |
---|
2433 | SUBROUTINE advec_s_ws_acc ( sk, sk_char ) |
---|
2434 | |
---|
2435 | USE arrays_3d |
---|
2436 | USE constants |
---|
2437 | USE control_parameters |
---|
2438 | USE grid_variables |
---|
2439 | USE indices |
---|
2440 | USE statistics |
---|
2441 | |
---|
2442 | IMPLICIT NONE |
---|
2443 | |
---|
2444 | CHARACTER (LEN = *), INTENT(IN) :: sk_char |
---|
2445 | |
---|
2446 | INTEGER :: i, ibit0, ibit1, ibit2, ibit3, ibit4, ibit5, ibit6, & |
---|
2447 | ibit7, ibit8, j, k, k_mm, k_mmm, k_pp, k_ppp, tn = 0 |
---|
2448 | |
---|
2449 | REAL :: diss_d, diss_l, diss_n, diss_r, diss_s, diss_t, div, flux_d, & |
---|
2450 | flux_l, flux_n, flux_r, flux_s, flux_t, u_comp, v_comp |
---|
2451 | |
---|
2452 | REAL, INTENT(IN), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk |
---|
2453 | |
---|
2454 | ! |
---|
2455 | !-- Computation of fluxes and tendency terms |
---|
2456 | !$acc kernels present( ddzw, sk, tend, u, v, w, wall_flags_0, wall_flags_00 ) |
---|
2457 | !$acc loop |
---|
2458 | DO i = i_left, i_right |
---|
2459 | DO j = j_south, j_north |
---|
2460 | !$acc loop vector( 32 ) |
---|
2461 | DO k = nzb+1, nzt |
---|
2462 | |
---|
2463 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
---|
2464 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
---|
2465 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
---|
2466 | |
---|
2467 | u_comp = u(k,j,i) - u_gtrans |
---|
2468 | flux_l = u_comp * ( & |
---|
2469 | ( 37.0 * ibit2 * adv_sca_5 & |
---|
2470 | + 7.0 * ibit1 * adv_sca_3 & |
---|
2471 | + ibit0 * adv_sca_1 & |
---|
2472 | ) * & |
---|
2473 | ( sk(k,j,i) + sk(k,j,i-1) ) & |
---|
2474 | - ( 8.0 * ibit2 * adv_sca_5 & |
---|
2475 | + ibit1 * adv_sca_3 & |
---|
2476 | ) * & |
---|
2477 | ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
---|
2478 | + ( ibit2 * adv_sca_5 & |
---|
2479 | ) * & |
---|
2480 | ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
---|
2481 | ) |
---|
2482 | |
---|
2483 | diss_l = -ABS( u_comp ) * ( & |
---|
2484 | ( 10.0 * ibit2 * adv_sca_5 & |
---|
2485 | + 3.0 * ibit1 * adv_sca_3 & |
---|
2486 | + ibit0 * adv_sca_1 & |
---|
2487 | ) * & |
---|
2488 | ( sk(k,j,i) - sk(k,j,i-1) ) & |
---|
2489 | - ( 5.0 * ibit2 * adv_sca_5 & |
---|
2490 | + ibit1 * adv_sca_3 & |
---|
2491 | ) * & |
---|
2492 | ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
---|
2493 | + ( ibit2 * adv_sca_5 & |
---|
2494 | ) * & |
---|
2495 | ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
---|
2496 | ) |
---|
2497 | |
---|
2498 | u_comp = u(k,j,i+1) - u_gtrans |
---|
2499 | flux_r = u_comp * ( & |
---|
2500 | ( 37.0 * ibit2 * adv_sca_5 & |
---|
2501 | + 7.0 * ibit1 * adv_sca_3 & |
---|
2502 | + ibit0 * adv_sca_1 & |
---|
2503 | ) * & |
---|
2504 | ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
2505 | - ( 8.0 * ibit2 * adv_sca_5 & |
---|
2506 | + ibit1 * adv_sca_3 & |
---|
2507 | ) * & |
---|
2508 | ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
---|
2509 | + ( ibit2 * adv_sca_5 & |
---|
2510 | ) * & |
---|
2511 | ( sk(k,j,i+3) + sk(k,j,i-2) ) & |
---|
2512 | ) |
---|
2513 | |
---|
2514 | diss_r = -ABS( u_comp ) * ( & |
---|
2515 | ( 10.0 * ibit2 * adv_sca_5 & |
---|
2516 | + 3.0 * ibit1 * adv_sca_3 & |
---|
2517 | + ibit0 * adv_sca_1 & |
---|
2518 | ) * & |
---|
2519 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
2520 | - ( 5.0 * ibit2 * adv_sca_5 & |
---|
2521 | + ibit1 * adv_sca_3 & |
---|
2522 | ) * & |
---|
2523 | ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
---|
2524 | + ( ibit2 * adv_sca_5 & |
---|
2525 | ) * & |
---|
2526 | ( sk(k,j,i+3) - sk(k,j,i-2) ) & |
---|
2527 | ) |
---|
2528 | |
---|
2529 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
---|
2530 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
---|
2531 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
---|
2532 | |
---|
2533 | v_comp = v(k,j,i) - v_gtrans |
---|
2534 | flux_s = v_comp * ( & |
---|
2535 | ( 37.0 * ibit5 * adv_sca_5 & |
---|
2536 | + 7.0 * ibit4 * adv_sca_3 & |
---|
2537 | + ibit3 * adv_sca_1 & |
---|
2538 | ) * & |
---|
2539 | ( sk(k,j,i) + sk(k,j-1,i) ) & |
---|
2540 | - ( 8.0 * ibit5 * adv_sca_5 & |
---|
2541 | + ibit4 * adv_sca_3 & |
---|
2542 | ) * & |
---|
2543 | ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
---|
2544 | + ( ibit5 * adv_sca_5 & |
---|
2545 | ) * & |
---|
2546 | ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
---|
2547 | ) |
---|
2548 | |
---|
2549 | diss_s = -ABS( v_comp ) * ( & |
---|
2550 | ( 10.0 * ibit5 * adv_sca_5 & |
---|
2551 | + 3.0 * ibit4 * adv_sca_3 & |
---|
2552 | + ibit3 * adv_sca_1 & |
---|
2553 | ) * & |
---|
2554 | ( sk(k,j,i) - sk(k,j-1,i) ) & |
---|
2555 | - ( 5.0 * ibit5 * adv_sca_5 & |
---|
2556 | + ibit4 * adv_sca_3 & |
---|
2557 | ) * & |
---|
2558 | ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
---|
2559 | + ( ibit5 * adv_sca_5 & |
---|
2560 | ) * & |
---|
2561 | ( sk(k,j+2,i) - sk(k,j-3,i) ) & |
---|
2562 | ) |
---|
2563 | |
---|
2564 | |
---|
2565 | v_comp = v(k,j+1,i) - v_gtrans |
---|
2566 | flux_n = v_comp * ( & |
---|
2567 | ( 37.0 * ibit5 * adv_sca_5 & |
---|
2568 | + 7.0 * ibit4 * adv_sca_3 & |
---|
2569 | + ibit3 * adv_sca_1 & |
---|
2570 | ) * & |
---|
2571 | ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
2572 | - ( 8.0 * ibit5 * adv_sca_5 & |
---|
2573 | + ibit4 * adv_sca_3 & |
---|
2574 | ) * & |
---|
2575 | ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
---|
2576 | + ( ibit5 * adv_sca_5 & |
---|
2577 | ) * & |
---|
2578 | ( sk(k,j+3,i) + sk(k,j-2,i) ) & |
---|
2579 | ) |
---|
2580 | |
---|
2581 | diss_n = -ABS( v_comp ) * ( & |
---|
2582 | ( 10.0 * ibit5 * adv_sca_5 & |
---|
2583 | + 3.0 * ibit4 * adv_sca_3 & |
---|
2584 | + ibit3 * adv_sca_1 & |
---|
2585 | ) * & |
---|
2586 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
2587 | - ( 5.0 * ibit5 * adv_sca_5 & |
---|
2588 | + ibit4 * adv_sca_3 & |
---|
2589 | ) * & |
---|
2590 | ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
---|
2591 | + ( ibit5 * adv_sca_5 & |
---|
2592 | ) * & |
---|
2593 | ( sk(k,j+3,i) - sk(k,j-2,i) ) & |
---|
2594 | ) |
---|
2595 | |
---|
2596 | ! |
---|
2597 | !-- indizes k_m, k_mm, ... should be known at these point |
---|
2598 | ibit8 = IBITS(wall_flags_0(k-1,j,i),8,1) |
---|
2599 | ibit7 = IBITS(wall_flags_0(k-1,j,i),7,1) |
---|
2600 | ibit6 = IBITS(wall_flags_0(k-1,j,i),6,1) |
---|
2601 | |
---|
2602 | k_pp = k + 2 * ibit8 |
---|
2603 | k_mm = k - 2 * ( ibit7 + ibit8 ) |
---|
2604 | k_mmm = k - 3 * ibit8 |
---|
2605 | |
---|
2606 | flux_d = w(k-1,j,i) * ( & |
---|
2607 | ( 37.0 * ibit8 * adv_sca_5 & |
---|
2608 | + 7.0 * ibit7 * adv_sca_3 & |
---|
2609 | + ibit6 * adv_sca_1 & |
---|
2610 | ) * & |
---|
2611 | ( sk(k,j,i) + sk(k-1,j,i) ) & |
---|
2612 | - ( 8.0 * ibit8 * adv_sca_5 & |
---|
2613 | + ibit7 * adv_sca_3 & |
---|
2614 | ) * & |
---|
2615 | ( sk(k+1,j,i) + sk(k_mm,j,i) ) & |
---|
2616 | + ( ibit8 * adv_sca_5 & |
---|
2617 | ) * ( sk(k_pp,j,i)+ sk(k_mmm,j,i) ) & |
---|
2618 | ) |
---|
2619 | |
---|
2620 | diss_d = -ABS( w(k-1,j,i) ) * ( & |
---|
2621 | ( 10.0 * ibit8 * adv_sca_5 & |
---|
2622 | + 3.0 * ibit7 * adv_sca_3 & |
---|
2623 | + ibit6 * adv_sca_1 & |
---|
2624 | ) * & |
---|
2625 | ( sk(k,j,i) - sk(k-1,j,i) ) & |
---|
2626 | - ( 5.0 * ibit8 * adv_sca_5 & |
---|
2627 | + ibit7 * adv_sca_3 & |
---|
2628 | ) * & |
---|
2629 | ( sk(k+1,j,i) - sk(k_mm,j,i) ) & |
---|
2630 | + ( ibit8 * adv_sca_5 & |
---|
2631 | ) * & |
---|
2632 | ( sk(k_pp,j,i) - sk(k_mmm,j,i) ) & |
---|
2633 | ) |
---|
2634 | |
---|
2635 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
---|
2636 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
---|
2637 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
---|
2638 | |
---|
2639 | k_ppp = k + 3 * ibit8 |
---|
2640 | k_pp = k + 2 * ( 1 - ibit6 ) |
---|
2641 | k_mm = k - 2 * ibit8 |
---|
2642 | |
---|
2643 | flux_t = w(k,j,i) * ( & |
---|
2644 | ( 37.0 * ibit8 * adv_sca_5 & |
---|
2645 | + 7.0 * ibit7 * adv_sca_3 & |
---|
2646 | + ibit6 * adv_sca_1 & |
---|
2647 | ) * & |
---|
2648 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
---|
2649 | - ( 8.0 * ibit8 * adv_sca_5 & |
---|
2650 | + ibit7 * adv_sca_3 & |
---|
2651 | ) * & |
---|
2652 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
---|
2653 | + ( ibit8 * adv_sca_5 & |
---|
2654 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
---|
2655 | ) |
---|
2656 | |
---|
2657 | diss_t = -ABS( w(k,j,i) ) * ( & |
---|
2658 | ( 10.0 * ibit8 * adv_sca_5 & |
---|
2659 | + 3.0 * ibit7 * adv_sca_3 & |
---|
2660 | + ibit6 * adv_sca_1 & |
---|
2661 | ) * & |
---|
2662 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
---|
2663 | - ( 5.0 * ibit8 * adv_sca_5 & |
---|
2664 | + ibit7 * adv_sca_3 & |
---|
2665 | ) * & |
---|
2666 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
---|
2667 | + ( ibit8 * adv_sca_5 & |
---|
2668 | ) * & |
---|
2669 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
---|
2670 | ) |
---|
2671 | ! |
---|
2672 | !-- Calculate the divergence of the velocity field. A respective |
---|
2673 | !-- correction is needed to overcome numerical instabilities caused |
---|
2674 | !-- by a not sufficient reduction of divergences near topography. |
---|
2675 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
---|
2676 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
---|
2677 | + ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
2678 | |
---|
2679 | tend(k,j,i) = - ( & |
---|
2680 | ( flux_r + diss_r - flux_l - diss_l ) * ddx & |
---|
2681 | + ( flux_n + diss_n - flux_s - diss_s ) * ddy & |
---|
2682 | + ( flux_t + diss_t - flux_d - diss_d ) * ddzw(k)& |
---|
2683 | ) + div * sk(k,j,i) |
---|
2684 | |
---|
2685 | !++ |
---|
2686 | !-- Evaluation of statistics |
---|
2687 | ! SELECT CASE ( sk_char ) |
---|
2688 | ! |
---|
2689 | ! CASE ( 'pt' ) |
---|
2690 | ! sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) & |
---|
2691 | ! + ( flux_t + diss_t ) & |
---|
2692 | ! * weight_substep(intermediate_timestep_count) |
---|
2693 | ! CASE ( 'sa' ) |
---|
2694 | ! sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) & |
---|
2695 | ! + ( flux_t + diss_t ) & |
---|
2696 | ! * weight_substep(intermediate_timestep_count) |
---|
2697 | ! CASE ( 'q' ) |
---|
2698 | ! sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) & |
---|
2699 | ! + ( flux_t + diss_t ) & |
---|
2700 | ! * weight_substep(intermediate_timestep_count) |
---|
2701 | ! |
---|
2702 | ! END SELECT |
---|
2703 | |
---|
2704 | ENDDO |
---|
2705 | ENDDO |
---|
2706 | ENDDO |
---|
2707 | !$acc end kernels |
---|
2708 | |
---|
2709 | END SUBROUTINE advec_s_ws_acc |
---|
2710 | |
---|
2711 | |
---|
2712 | !------------------------------------------------------------------------------! |
---|
2713 | ! Advection of u - Call for all grid points |
---|
2714 | !------------------------------------------------------------------------------! |
---|
2715 | SUBROUTINE advec_u_ws |
---|
2716 | |
---|
2717 | USE arrays_3d |
---|
2718 | USE constants |
---|
2719 | USE control_parameters |
---|
2720 | USE grid_variables |
---|
2721 | USE indices |
---|
2722 | USE statistics |
---|
2723 | |
---|
2724 | IMPLICIT NONE |
---|
2725 | |
---|
2726 | INTEGER :: i, ibit9, ibit10, ibit11, ibit12, ibit13, ibit14, ibit15, & |
---|
2727 | ibit16, ibit17, j, k, k_mm, k_pp, k_ppp, tn = 0 |
---|
2728 | REAL :: diss_d, div, flux_d, gu, gv, v_comp, w_comp |
---|
2729 | REAL, DIMENSION(nzb+1:nzt) :: swap_diss_y_local_u, swap_flux_y_local_u |
---|
2730 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_u, & |
---|
2731 | swap_flux_x_local_u |
---|
2732 | REAL, DIMENSION(nzb:nzt) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
---|
2733 | flux_t, u_comp |
---|
2734 | |
---|
2735 | gu = 2.0 * u_gtrans |
---|
2736 | gv = 2.0 * v_gtrans |
---|
2737 | |
---|
2738 | ! |
---|
2739 | !-- Compute the fluxes for the whole left boundary of the processor domain. |
---|
2740 | i = nxlu |
---|
2741 | DO j = nys, nyn |
---|
2742 | DO k = nzb+1, nzb_max |
---|
2743 | |
---|
2744 | ibit11 = IBITS(wall_flags_0(k,j,i),11,1) |
---|
2745 | ibit10 = IBITS(wall_flags_0(k,j,i),10,1) |
---|
2746 | ibit9 = IBITS(wall_flags_0(k,j,i),9,1) |
---|
2747 | |
---|
2748 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
---|
2749 | swap_flux_x_local_u(k,j) = u_comp(k) * ( & |
---|
2750 | ( 37.0 * ibit11 * adv_mom_5 & |
---|
2751 | + 7.0 * ibit10 * adv_mom_3 & |
---|
2752 | + ibit9 * adv_mom_1 & |
---|
2753 | ) * & |
---|
2754 | ( u(k,j,i) + u(k,j,i-1) ) & |
---|
2755 | - ( 8.0 * ibit11 * adv_mom_5 & |
---|
2756 | + ibit10 * adv_mom_3 & |
---|
2757 | ) * & |
---|
2758 | ( u(k,j,i+1) + u(k,j,i-2) ) & |
---|
2759 | + ( ibit11 * adv_mom_5 & |
---|
2760 | ) * & |
---|
2761 | ( u(k,j,i+2) + u(k,j,i-3) ) & |
---|
2762 | ) |
---|
2763 | |
---|
2764 | swap_diss_x_local_u(k,j) = - ABS( u_comp(k) ) * ( & |
---|
2765 | ( 10.0 * ibit11 * adv_mom_5 & |
---|
2766 | + 3.0 * ibit10 * adv_mom_3 & |
---|
2767 | + ibit9 * adv_mom_1 & |
---|
2768 | ) * & |
---|
2769 | ( u(k,j,i) - u(k,j,i-1) ) & |
---|
2770 | - ( 5.0 * ibit11 * adv_mom_5 & |
---|
2771 | + ibit10 * adv_mom_3 & |
---|
2772 | ) * & |
---|
2773 | ( u(k,j,i+1) - u(k,j,i-2) ) & |
---|
2774 | + ( ibit11 * adv_mom_5 & |
---|
2775 | ) * & |
---|
2776 | ( u(k,j,i+2) - u(k,j,i-3) ) & |
---|
2777 | ) |
---|
2778 | |
---|
2779 | ENDDO |
---|
2780 | |
---|
2781 | DO k = nzb_max+1, nzt |
---|
2782 | |
---|
2783 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
---|
2784 | swap_flux_x_local_u(k,j) = u_comp(k) * ( & |
---|
2785 | 37.0 * ( u(k,j,i) + u(k,j,i-1) ) & |
---|
2786 | - 8.0 * ( u(k,j,i+1) + u(k,j,i-2) ) & |
---|
2787 | + ( u(k,j,i+2) + u(k,j,i-3) ) ) * adv_mom_5 |
---|
2788 | swap_diss_x_local_u(k,j) = - ABS(u_comp(k)) * ( & |
---|
2789 | 10.0 * ( u(k,j,i) - u(k,j,i-1) ) & |
---|
2790 | - 5.0 * ( u(k,j,i+1) - u(k,j,i-2) ) & |
---|
2791 | + ( u(k,j,i+2) - u(k,j,i-3) ) ) * adv_mom_5 |
---|
2792 | |
---|
2793 | ENDDO |
---|
2794 | ENDDO |
---|
2795 | |
---|
2796 | DO i = nxlu, nxr |
---|
2797 | ! |
---|
2798 | !-- The following loop computes the fluxes for the south boundary points |
---|
2799 | j = nys |
---|
2800 | DO k = nzb+1, nzb_max |
---|
2801 | |
---|
2802 | ibit14 = IBITS(wall_flags_0(k,j,i),14,1) |
---|
2803 | ibit13 = IBITS(wall_flags_0(k,j,i),13,1) |
---|
2804 | ibit12 = IBITS(wall_flags_0(k,j,i),12,1) |
---|
2805 | |
---|
2806 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
---|
2807 | swap_flux_y_local_u(k) = v_comp * ( & |
---|
2808 | ( 37.0 * ibit14 * adv_mom_5 & |
---|
2809 | + 7.0 * ibit13 * adv_mom_3 & |
---|
2810 | + ibit12 * adv_mom_1 & |
---|
2811 | ) * & |
---|
2812 | ( u(k,j,i) + u(k,j-1,i) ) & |
---|
2813 | - ( 8.0 * ibit14 * adv_mom_5 & |
---|
2814 | + ibit13 * adv_mom_3 & |
---|
2815 | ) * & |
---|
2816 | ( u(k,j+1,i) + u(k,j-2,i) ) & |
---|
2817 | + ( ibit14 * adv_mom_5 & |
---|
2818 | ) * & |
---|
2819 | ( u(k,j+2,i) + u(k,j-3,i) ) & |
---|
2820 | ) |
---|
2821 | |
---|
2822 | swap_diss_y_local_u(k) = - ABS ( v_comp ) * ( & |
---|
2823 | ( 10.0 * ibit14 * adv_mom_5 & |
---|
2824 | + 3.0 * ibit13 * adv_mom_3 & |
---|
2825 | + ibit12 * adv_mom_1 & |
---|
2826 | ) * & |
---|
2827 | ( u(k,j,i) - u(k,j-1,i) ) & |
---|
2828 | - ( 5.0 * ibit14 * adv_mom_5 & |
---|
2829 | + ibit13 * adv_mom_3 & |
---|
2830 | ) * & |
---|
2831 | ( u(k,j+1,i) - u(k,j-2,i) ) & |
---|
2832 | + ( ibit14 * adv_mom_5 & |
---|
2833 | ) * & |
---|
2834 | ( u(k,j+2,i) - u(k,j-3,i) ) & |
---|
2835 | ) |
---|
2836 | |
---|
2837 | ENDDO |
---|
2838 | |
---|
2839 | DO k = nzb_max+1, nzt |
---|
2840 | |
---|
2841 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
---|
2842 | swap_flux_y_local_u(k) = v_comp * ( & |
---|
2843 | 37.0 * ( u(k,j,i) + u(k,j-1,i) ) & |
---|
2844 | - 8.0 * ( u(k,j+1,i) + u(k,j-2,i) ) & |
---|
2845 | + ( u(k,j+2,i) + u(k,j-3,i) ) ) * adv_mom_5 |
---|
2846 | swap_diss_y_local_u(k) = - ABS(v_comp) * ( & |
---|
2847 | 10.0 * ( u(k,j,i) - u(k,j-1,i) ) & |
---|
2848 | - 5.0 * ( u(k,j+1,i) - u(k,j-2,i) ) & |
---|
2849 | + ( u(k,j+2,i) - u(k,j-3,i) ) ) * adv_mom_5 |
---|
2850 | |
---|
2851 | ENDDO |
---|
2852 | ! |
---|
2853 | !-- Computation of interior fluxes and tendency terms |
---|
2854 | DO j = nys, nyn |
---|
2855 | |
---|
2856 | flux_t(0) = 0.0 |
---|
2857 | diss_t(0) = 0.0 |
---|
2858 | flux_d = 0.0 |
---|
2859 | diss_d = 0.0 |
---|
2860 | |
---|
2861 | DO k = nzb+1, nzb_max |
---|
2862 | |
---|
2863 | ibit11 = IBITS(wall_flags_0(k,j,i),11,1) |
---|
2864 | ibit10 = IBITS(wall_flags_0(k,j,i),10,1) |
---|
2865 | ibit9 = IBITS(wall_flags_0(k,j,i),9,1) |
---|
2866 | |
---|
2867 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
2868 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
2869 | ( 37.0 * ibit11 * adv_mom_5 & |
---|
2870 | + 7.0 * ibit10 * adv_mom_3 & |
---|
2871 | + ibit9 * adv_mom_1 & |
---|
2872 | ) * & |
---|
2873 | ( u(k,j,i+1) + u(k,j,i) ) & |
---|
2874 | - ( 8.0 * ibit11 * adv_mom_5 & |
---|
2875 | + ibit10 * adv_mom_3 & |
---|
2876 | ) * & |
---|
2877 | ( u(k,j,i+2) + u(k,j,i-1) ) & |
---|
2878 | + ( ibit11 * adv_mom_5 & |
---|
2879 | ) * & |
---|
2880 | ( u(k,j,i+3) + u(k,j,i-2) ) & |
---|
2881 | ) |
---|
2882 | |
---|
2883 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
2884 | ( 10.0 * ibit11 * adv_mom_5 & |
---|
2885 | + 3.0 * ibit10 * adv_mom_3 & |
---|
2886 | + ibit9 * adv_mom_1 & |
---|
2887 | ) * & |
---|
2888 | ( u(k,j,i+1) - u(k,j,i) ) & |
---|
2889 | - ( 5.0 * ibit11 * adv_mom_5 & |
---|
2890 | + ibit10 * adv_mom_3 & |
---|
2891 | ) * & |
---|
2892 | ( u(k,j,i+2) - u(k,j,i-1) ) & |
---|
2893 | + ( ibit11 * adv_mom_5 & |
---|
2894 | ) * & |
---|
2895 | ( u(k,j,i+3) - u(k,j,i-2) ) & |
---|
2896 | ) |
---|
2897 | |
---|
2898 | ibit14 = IBITS(wall_flags_0(k,j,i),14,1) |
---|
2899 | ibit13 = IBITS(wall_flags_0(k,j,i),13,1) |
---|
2900 | ibit12 = IBITS(wall_flags_0(k,j,i),12,1) |
---|
2901 | |
---|
2902 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
2903 | flux_n(k) = v_comp * ( & |
---|
2904 | ( 37.0 * ibit14 * adv_mom_5 & |
---|
2905 | + 7.0 * ibit13 * adv_mom_3 & |
---|
2906 | + ibit12 * adv_mom_1 & |
---|
2907 | ) * & |
---|
2908 | ( u(k,j+1,i) + u(k,j,i) ) & |
---|
2909 | - ( 8.0 * ibit14 * adv_mom_5 & |
---|
2910 | + ibit13 * adv_mom_3 & |
---|
2911 | ) * & |
---|
2912 | ( u(k,j+2,i) + u(k,j-1,i) ) & |
---|
2913 | + ( ibit14 * adv_mom_5 & |
---|
2914 | ) * & |
---|
2915 | ( u(k,j+3,i) + u(k,j-2,i) ) & |
---|
2916 | ) |
---|
2917 | |
---|
2918 | diss_n(k) = - ABS ( v_comp ) * ( & |
---|
2919 | ( 10.0 * ibit14 * adv_mom_5 & |
---|
2920 | + 3.0 * ibit13 * adv_mom_3 & |
---|
2921 | + ibit12 * adv_mom_1 & |
---|
2922 | ) * & |
---|
2923 | ( u(k,j+1,i) - u(k,j,i) ) & |
---|
2924 | - ( 5.0 * ibit14 * adv_mom_5 & |
---|
2925 | + ibit13 * adv_mom_3 & |
---|
2926 | ) * & |
---|
2927 | ( u(k,j+2,i) - u(k,j-1,i) ) & |
---|
2928 | + ( ibit14 * adv_mom_5 & |
---|
2929 | ) * & |
---|
2930 | ( u(k,j+3,i) - u(k,j-2,i) ) & |
---|
2931 | ) |
---|
2932 | ! |
---|
2933 | !-- k index has to be modified near bottom and top, else array |
---|
2934 | !-- subscripts will be exceeded. |
---|
2935 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
---|
2936 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
---|
2937 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
---|
2938 | |
---|
2939 | k_ppp = k + 3 * ibit17 |
---|
2940 | k_pp = k + 2 * ( 1 - ibit15 ) |
---|
2941 | k_mm = k - 2 * ibit17 |
---|
2942 | |
---|
2943 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
2944 | flux_t(k) = w_comp * ( & |
---|
2945 | ( 37.0 * ibit17 * adv_mom_5 & |
---|
2946 | + 7.0 * ibit16 * adv_mom_3 & |
---|
2947 | + ibit15 * adv_mom_1 & |
---|
2948 | ) * & |
---|
2949 | ( u(k+1,j,i) + u(k,j,i) ) & |
---|
2950 | - ( 8.0 * ibit17 * adv_mom_5 & |
---|
2951 | + ibit16 * adv_mom_3 & |
---|
2952 | ) * & |
---|
2953 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
---|
2954 | + ( ibit17 * adv_mom_5 & |
---|
2955 | ) * & |
---|
2956 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
---|
2957 | ) |
---|
2958 | |
---|
2959 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
2960 | ( 10.0 * ibit17 * adv_mom_5 & |
---|
2961 | + 3.0 * ibit16 * adv_mom_3 & |
---|
2962 | + ibit15 * adv_mom_1 & |
---|
2963 | ) * & |
---|
2964 | ( u(k+1,j,i) - u(k,j,i) ) & |
---|
2965 | - ( 5.0 * ibit17 * adv_mom_5 & |
---|
2966 | + ibit16 * adv_mom_3 & |
---|
2967 | ) * & |
---|
2968 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
---|
2969 | + ( ibit17 * adv_mom_5 & |
---|
2970 | ) * & |
---|
2971 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
---|
2972 | ) |
---|
2973 | ! |
---|
2974 | !-- Calculate the divergence of the velocity field. A respective |
---|
2975 | !-- correction is needed to overcome numerical instabilities caused |
---|
2976 | !-- by a not sufficient reduction of divergences near topography. |
---|
2977 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
---|
2978 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
---|
2979 | + ( w_comp - ( w(k-1,j,i) + w(k-1,j,i-1) ) ) & |
---|
2980 | * ddzw(k) & |
---|
2981 | ) * 0.5 |
---|
2982 | |
---|
2983 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
2984 | ( flux_r(k) + diss_r(k) & |
---|
2985 | - swap_flux_x_local_u(k,j) - swap_diss_x_local_u(k,j) ) * ddx & |
---|
2986 | + ( flux_n(k) + diss_n(k) & |
---|
2987 | - swap_flux_y_local_u(k) - swap_diss_y_local_u(k) ) * ddy & |
---|
2988 | + ( flux_t(k) + diss_t(k) & |
---|
2989 | - flux_d - diss_d & |
---|
2990 | ) * ddzw(k) & |
---|
2991 | ) + div * u(k,j,i) |
---|
2992 | |
---|
2993 | swap_flux_x_local_u(k,j) = flux_r(k) |
---|
2994 | swap_diss_x_local_u(k,j) = diss_r(k) |
---|
2995 | swap_flux_y_local_u(k) = flux_n(k) |
---|
2996 | swap_diss_y_local_u(k) = diss_n(k) |
---|
2997 | flux_d = flux_t(k) |
---|
2998 | diss_d = diss_t(k) |
---|
2999 | ! |
---|
3000 | !-- Statistical Evaluation of u'u'. The factor has to be applied |
---|
3001 | !-- for right evaluation when gallilei_trans = .T. . |
---|
3002 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
---|
3003 | + ( flux_r(k) * & |
---|
3004 | ( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
---|
3005 | / ( u_comp(k) - gu + 1.0E-20 ) & |
---|
3006 | + diss_r(k) * & |
---|
3007 | ABS( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
---|
3008 | / ( ABS( u_comp(k) - gu ) + 1.0E-20 ) ) & |
---|
3009 | * weight_substep(intermediate_timestep_count) |
---|
3010 | ! |
---|
3011 | !-- Statistical Evaluation of w'u'. |
---|
3012 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
---|
3013 | + ( flux_t(k) + diss_t(k) ) & |
---|
3014 | * weight_substep(intermediate_timestep_count) |
---|
3015 | ENDDO |
---|
3016 | |
---|
3017 | DO k = nzb_max+1, nzt |
---|
3018 | |
---|
3019 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
3020 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
3021 | 37.0 * ( u(k,j,i+1) + u(k,j,i) ) & |
---|
3022 | - 8.0 * ( u(k,j,i+2) + u(k,j,i-1) ) & |
---|
3023 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) * adv_mom_5 |
---|
3024 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
3025 | 10.0 * ( u(k,j,i+1) - u(k,j,i) ) & |
---|
3026 | - 5.0 * ( u(k,j,i+2) - u(k,j,i-1) ) & |
---|
3027 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
---|
3028 | |
---|
3029 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
3030 | flux_n(k) = v_comp * ( & |
---|
3031 | 37.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
---|
3032 | - 8.0 * ( u(k,j+2,i) + u(k,j-1,i) ) & |
---|
3033 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
---|
3034 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
3035 | 10.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
---|
3036 | - 5.0 * ( u(k,j+2,i) - u(k,j-1,i) ) & |
---|
3037 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
---|
3038 | ! |
---|
3039 | !-- k index has to be modified near bottom and top, else array |
---|
3040 | !-- subscripts will be exceeded. |
---|
3041 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
---|
3042 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
---|
3043 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
---|
3044 | |
---|
3045 | k_ppp = k + 3 * ibit17 |
---|
3046 | k_pp = k + 2 * ( 1 - ibit15 ) |
---|
3047 | k_mm = k - 2 * ibit17 |
---|
3048 | |
---|
3049 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
3050 | flux_t(k) = w_comp * ( & |
---|
3051 | ( 37.0 * ibit17 * adv_mom_5 & |
---|
3052 | + 7.0 * ibit16 * adv_mom_3 & |
---|
3053 | + ibit15 * adv_mom_1 & |
---|
3054 | ) * & |
---|
3055 | ( u(k+1,j,i) + u(k,j,i) ) & |
---|
3056 | - ( 8.0 * ibit17 * adv_mom_5 & |
---|
3057 | + ibit16 * adv_mom_3 & |
---|
3058 | ) * & |
---|
3059 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
---|
3060 | + ( ibit17 * adv_mom_5 & |
---|
3061 | ) * & |
---|
3062 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
---|
3063 | ) |
---|
3064 | |
---|
3065 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
3066 | ( 10.0 * ibit17 * adv_mom_5 & |
---|
3067 | + 3.0 * ibit16 * adv_mom_3 & |
---|
3068 | + ibit15 * adv_mom_1 & |
---|
3069 | ) * & |
---|
3070 | ( u(k+1,j,i) - u(k,j,i) ) & |
---|
3071 | - ( 5.0 * ibit17 * adv_mom_5 & |
---|
3072 | + ibit16 * adv_mom_3 & |
---|
3073 | ) * & |
---|
3074 | ( u(k_pp,j,i) - u(k-1,j,i) |
---|