1 | !> @file advec_ws.f90 |
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2 | !------------------------------------------------------------------------------! |
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3 | ! This file is part of the PALM model system. |
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4 | ! |
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5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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6 | ! terms of the GNU General Public License as published by the Free Software |
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7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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8 | ! version. |
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9 | ! |
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10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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13 | ! |
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14 | ! You should have received a copy of the GNU General Public License along with |
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15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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16 | ! |
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17 | ! Copyright 1997-2018 Leibniz Universitaet Hannover |
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18 | !------------------------------------------------------------------------------! |
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19 | ! |
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20 | ! Current revisions: |
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21 | ! ------------------ |
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22 | ! |
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23 | ! |
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24 | ! Former revisions: |
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25 | ! ----------------- |
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26 | ! $Id: advec_ws.f90 3302 2018-10-03 02:39:40Z knoop $ |
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27 | ! Stokes drift velocity added in scalar advection |
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28 | ! |
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29 | ! 3298 2018-10-02 12:21:11Z kanani |
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30 | ! Add formatted note from ketelsen about statistics for chemistry |
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31 | ! |
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32 | ! 3294 2018-10-01 02:37:10Z raasch |
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33 | ! ocean renamed ocean_mode |
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34 | ! |
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35 | ! 3274 2018-09-24 15:42:55Z knoop |
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36 | ! Modularization of all bulk cloud physics code components |
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37 | ! |
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38 | ! 3241 2018-09-12 15:02:00Z raasch |
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39 | ! unused variables removed |
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40 | ! |
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41 | ! 3183 2018-07-27 14:25:55Z suehring |
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42 | ! Rename variables for boundary-condition flags and for offline nesting mode |
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43 | ! |
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44 | ! 3182 2018-07-27 13:36:03Z suehring |
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45 | ! Bugfix in calculation of left-sided fluxes for u-component in OpenMP case. |
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46 | ! |
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47 | ! 2731 2018-01-09 17:44:02Z suehring |
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48 | ! Enable loop vectorization by splitting the k-loop |
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49 | ! |
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50 | ! 2718 2018-01-02 08:49:38Z maronga |
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51 | ! Corrected "Former revisions" section |
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52 | ! |
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53 | ! 2696 2017-12-14 17:12:51Z kanani |
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54 | ! Change in file header (GPL part) |
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55 | ! Implement advection for TKE-dissipation in case of RANS-TKE-e closure (TG) |
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56 | ! Allocate advc_flags_1/2 within ws_init_flags instead of init_grid |
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57 | ! Change argument list for exchange_horiz_2d_int (MS) |
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58 | ! |
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59 | ! 2329 2017-08-03 14:24:56Z knoop |
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60 | ! Bugfix concerning density in divergence correction close to buildings |
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61 | ! |
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62 | ! 2292 2017-06-20 09:51:42Z schwenkel |
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63 | ! Implementation of new microphysic scheme: cloud_scheme = 'morrison' |
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64 | ! includes two more prognostic equations for cloud drop concentration (nc) |
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65 | ! and cloud water content (qc). |
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66 | ! |
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67 | ! 2233 2017-05-30 18:08:54Z suehring |
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68 | ! |
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69 | ! 2232 2017-05-30 17:47:52Z suehring |
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70 | ! Rename wall_flags_0 and wall_flags_00 into advc_flags_1 and advc_flags_2, |
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71 | ! respectively. |
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72 | ! Set advc_flags_1/2 on basis of wall_flags_0/00 instead of nzb_s/u/v/w_inner. |
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73 | ! Setting advc_flags_1/2 also for downward-facing walls |
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74 | ! |
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75 | ! 2200 2017-04-11 11:37:51Z suehring |
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76 | ! monotonic_adjustment removed |
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77 | ! |
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78 | ! 2118 2017-01-17 16:38:49Z raasch |
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79 | ! OpenACC version of subroutines removed |
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80 | ! |
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81 | ! 2037 2016-10-26 11:15:40Z knoop |
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82 | ! Anelastic approximation implemented |
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83 | ! |
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84 | ! 2000 2016-08-20 18:09:15Z knoop |
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85 | ! Forced header and separation lines into 80 columns |
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86 | ! |
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87 | ! 1996 2016-08-18 11:42:29Z suehring |
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88 | ! Bugfix concerning calculation of turbulent of turbulent fluxes |
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89 | ! |
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90 | ! 1960 2016-07-12 16:34:24Z suehring |
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91 | ! Separate humidity and passive scalar |
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92 | ! |
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93 | ! 1942 2016-06-14 12:18:18Z suehring |
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94 | ! Initialization of flags for ws-scheme moved from init_grid. |
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95 | ! |
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96 | ! 1873 2016-04-18 14:50:06Z maronga |
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97 | ! Module renamed (removed _mod) |
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98 | ! |
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99 | ! |
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100 | ! 1850 2016-04-08 13:29:27Z maronga |
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101 | ! Module renamed |
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102 | ! |
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103 | ! |
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104 | ! 1822 2016-04-07 07:49:42Z hoffmann |
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105 | ! icloud_scheme removed, microphysics_seifert added |
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106 | ! |
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107 | ! 1682 2015-10-07 23:56:08Z knoop |
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108 | ! Code annotations made doxygen readable |
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109 | ! |
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110 | ! 1630 2015-08-26 16:57:23Z suehring |
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111 | ! |
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112 | ! |
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113 | ! 1629 2015-08-26 16:56:11Z suehring |
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114 | ! Bugfix concerning wall_flags at left and south PE boundaries |
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115 | ! |
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116 | ! 1581 2015-04-10 13:45:59Z suehring |
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117 | ! |
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118 | ! |
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119 | ! 1580 2015-04-10 13:43:49Z suehring |
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120 | ! Bugfix: statistical evaluation of scalar fluxes in case of monotonic limiter |
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121 | ! |
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122 | ! 1567 2015-03-10 17:57:55Z suehring |
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123 | ! Bugfixes in monotonic limiter. |
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124 | ! |
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125 | ! 2015-03-09 13:10:37Z heinze |
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126 | ! Bugfix: REAL constants provided with KIND-attribute in call of |
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127 | ! intrinsic functions like MAX and MIN |
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128 | ! |
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129 | ! 1557 2015-03-05 16:43:04Z suehring |
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130 | ! Enable monotone advection for scalars using monotonic limiter |
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131 | ! |
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132 | ! 1374 2014-04-25 12:55:07Z raasch |
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133 | ! missing variables added to ONLY list |
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134 | ! |
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135 | ! 1361 2014-04-16 15:17:48Z hoffmann |
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136 | ! accelerator and vector version for qr and nr added |
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137 | ! |
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138 | ! 1353 2014-04-08 15:21:23Z heinze |
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139 | ! REAL constants provided with KIND-attribute, |
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140 | ! module kinds added |
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141 | ! some formatting adjustments |
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142 | ! |
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143 | ! 1322 2014-03-20 16:38:49Z raasch |
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144 | ! REAL constants defined as wp-kind |
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145 | ! |
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146 | ! 1320 2014-03-20 08:40:49Z raasch |
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147 | ! ONLY-attribute added to USE-statements, |
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148 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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149 | ! kinds are defined in new module kinds, |
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150 | ! old module precision_kind is removed, |
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151 | ! revision history before 2012 removed, |
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152 | ! comment fields (!:) to be used for variable explanations added to |
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153 | ! all variable declaration statements |
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154 | ! |
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155 | ! 1257 2013-11-08 15:18:40Z raasch |
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156 | ! accelerator loop directives removed |
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157 | ! |
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158 | ! 1221 2013-09-10 08:59:13Z raasch |
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159 | ! wall_flags_00 introduced, which holds bits 32-... |
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160 | ! |
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161 | ! 1128 2013-04-12 06:19:32Z raasch |
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162 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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163 | ! j_north |
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164 | ! |
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165 | ! 1115 2013-03-26 18:16:16Z hoffmann |
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166 | ! calculation of qr and nr is restricted to precipitation |
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167 | ! |
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168 | ! 1053 2012-11-13 17:11:03Z hoffmann |
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169 | ! necessary expansions according to the two new prognostic equations (nr, qr) |
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170 | ! of the two-moment cloud physics scheme: |
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171 | ! +flux_l_*, flux_s_*, diss_l_*, diss_s_*, sums_ws*s_ws_l |
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172 | ! |
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173 | ! 1036 2012-10-22 13:43:42Z raasch |
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174 | ! code put under GPL (PALM 3.9) |
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175 | ! |
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176 | ! 1027 2012-10-15 17:18:39Z suehring |
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177 | ! Bugfix in calculation indices k_mm, k_pp in accelerator version |
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178 | ! |
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179 | ! 1019 2012-09-28 06:46:45Z raasch |
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180 | ! small change in comment lines |
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181 | ! |
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182 | ! 1015 2012-09-27 09:23:24Z raasch |
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183 | ! accelerator versions (*_acc) added |
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184 | ! |
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185 | ! 1010 2012-09-20 07:59:54Z raasch |
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186 | ! cpp switch __nopointer added for pointer free version |
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187 | ! |
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188 | ! 888 2012-04-20 15:03:46Z suehring |
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189 | ! Number of IBITS() calls with identical arguments is reduced. |
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190 | ! |
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191 | ! 862 2012-03-26 14:21:38Z suehring |
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192 | ! ws-scheme also work with topography in combination with vector version. |
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193 | ! ws-scheme also work with outflow boundaries in combination with |
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194 | ! vector version. |
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195 | ! Degradation of the applied order of scheme is now steered by multiplying with |
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196 | ! Integer advc_flags_1. 2nd order scheme, WS3 and WS5 are calculated on each |
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197 | ! grid point and mulitplied with the appropriate flag. |
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198 | ! 2nd order numerical dissipation term changed. Now the appropriate 2nd order |
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199 | ! term derived according to the 4th and 6th order terms is applied. It turns |
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200 | ! out that diss_2nd does not provide sufficient dissipation near walls. |
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201 | ! Therefore, the function diss_2nd is removed. |
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202 | ! Near walls a divergence correction is necessary to overcome numerical |
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203 | ! instabilities due to too less divergence reduction of the velocity field. |
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204 | ! boundary_flags and logicals steering the degradation are removed. |
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205 | ! Empty SUBROUTINE local_diss removed. |
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206 | ! Further formatting adjustments. |
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207 | ! |
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208 | ! 801 2012-01-10 17:30:36Z suehring |
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209 | ! Bugfix concerning OpenMP parallelization. Summation of sums_wsus_ws_l, |
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210 | ! sums_wsvs_ws_l, sums_us2_ws_l, sums_vs2_ws_l, sums_ws2_ws_l, sums_wspts_ws_l, |
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211 | ! sums_wsqs_ws_l, sums_wssas_ws_l is now thread-safe by adding an additional |
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212 | ! dimension. |
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213 | ! |
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214 | ! Initial revision |
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215 | ! |
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216 | ! 411 2009-12-11 12:31:43 Z suehring |
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217 | ! |
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218 | ! Description: |
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219 | ! ------------ |
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220 | !> Advection scheme for scalars and momentum using the flux formulation of |
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221 | !> Wicker and Skamarock 5th order. Additionally the module contains of a |
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222 | !> routine using for initialisation and steering of the statical evaluation. |
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223 | !> The computation of turbulent fluxes takes place inside the advection |
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224 | !> routines. |
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225 | !> Near non-cyclic boundaries the order of the applied advection scheme is |
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226 | !> degraded. |
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227 | !> A divergence correction is applied. It is necessary for topography, since |
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228 | !> the divergence is not sufficiently reduced, resulting in erroneous fluxes and |
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229 | !> partly numerical instabilities. |
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230 | !-----------------------------------------------------------------------------! |
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231 | MODULE advec_ws |
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232 | |
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233 | USE kinds |
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234 | |
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235 | IMPLICIT NONE |
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236 | |
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237 | REAL(wp) :: adv_mom_1 !< 1/4 - constant used in 5th-order advection scheme for momentum advection (1st-order part) |
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238 | REAL(wp) :: adv_mom_3 !< 1/24 - constant used in 5th-order advection scheme for momentum advection (3rd-order part) |
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239 | REAL(wp) :: adv_mom_5 !< 1/120 - constant used in 5th-order advection scheme for momentum advection (5th-order part) |
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240 | REAL(wp) :: adv_sca_1 !< 1/2 - constant used in 5th-order advection scheme for scalar advection (1st-order part) |
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241 | REAL(wp) :: adv_sca_3 !< 1/12 - constant used in 5th-order advection scheme for scalar advection (3rd-order part) |
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242 | REAL(wp) :: adv_sca_5 !< 1/60 - constant used in 5th-order advection scheme for scalar advection (5th-order part) |
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243 | |
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244 | PRIVATE |
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245 | PUBLIC advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws, ws_init, & |
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246 | ws_init_flags, ws_statistics |
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247 | |
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248 | INTERFACE ws_init |
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249 | MODULE PROCEDURE ws_init |
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250 | END INTERFACE ws_init |
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251 | |
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252 | INTERFACE ws_init_flags |
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253 | MODULE PROCEDURE ws_init_flags |
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254 | END INTERFACE ws_init_flags |
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255 | |
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256 | INTERFACE ws_statistics |
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257 | MODULE PROCEDURE ws_statistics |
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258 | END INTERFACE ws_statistics |
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259 | |
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260 | INTERFACE advec_s_ws |
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261 | MODULE PROCEDURE advec_s_ws |
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262 | MODULE PROCEDURE advec_s_ws_ij |
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263 | END INTERFACE advec_s_ws |
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264 | |
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265 | INTERFACE advec_u_ws |
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266 | MODULE PROCEDURE advec_u_ws |
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267 | MODULE PROCEDURE advec_u_ws_ij |
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268 | END INTERFACE advec_u_ws |
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269 | |
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270 | INTERFACE advec_v_ws |
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271 | MODULE PROCEDURE advec_v_ws |
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272 | MODULE PROCEDURE advec_v_ws_ij |
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273 | END INTERFACE advec_v_ws |
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274 | |
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275 | INTERFACE advec_w_ws |
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276 | MODULE PROCEDURE advec_w_ws |
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277 | MODULE PROCEDURE advec_w_ws_ij |
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278 | END INTERFACE advec_w_ws |
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279 | |
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280 | CONTAINS |
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281 | |
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282 | |
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283 | !------------------------------------------------------------------------------! |
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284 | ! Description: |
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285 | ! ------------ |
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286 | !> Initialization of WS-scheme |
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287 | !------------------------------------------------------------------------------! |
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288 | SUBROUTINE ws_init |
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289 | |
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290 | USE arrays_3d, & |
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291 | ONLY: diss_l_diss, diss_l_e, diss_l_nc, diss_l_nr, diss_l_pt, & |
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292 | diss_l_q, diss_l_qc, diss_l_qr, diss_l_s, diss_l_sa, & |
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293 | diss_l_u, diss_l_v, diss_l_w, flux_l_diss, flux_l_e, & |
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294 | flux_l_nc, flux_l_nr, flux_l_pt, flux_l_q, flux_l_qc, & |
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295 | flux_l_qr, flux_l_s, flux_l_sa, flux_l_u, flux_l_v, & |
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296 | flux_l_w, diss_s_diss, diss_s_e, diss_s_nc, diss_s_nr, & |
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297 | diss_s_pt, diss_s_q, diss_s_qc, diss_s_qr, diss_s_s, & |
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298 | diss_s_sa, diss_s_u, diss_s_v, diss_s_w, flux_s_diss, & |
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299 | flux_s_e, flux_s_nc, flux_s_nr, flux_s_pt, flux_s_q, & |
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300 | flux_s_qc, flux_s_qr, flux_s_s, flux_s_sa, flux_s_u, & |
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301 | flux_s_v, flux_s_w |
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302 | |
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303 | USE control_parameters, & |
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304 | ONLY: humidity, loop_optimization, passive_scalar, ocean_mode, & |
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305 | rans_tke_e, ws_scheme_mom, ws_scheme_sca |
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306 | |
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307 | USE indices, & |
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308 | ONLY: nyn, nys, nzb, nzt |
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309 | |
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310 | USE kinds |
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311 | |
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312 | USE bulk_cloud_model_mod, & |
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313 | ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert |
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314 | |
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315 | USE pegrid |
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316 | |
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317 | USE statistics, & |
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318 | ONLY: sums_us2_ws_l, sums_vs2_ws_l, sums_ws2_ws_l, sums_wsncs_ws_l,& |
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319 | sums_wsnrs_ws_l,sums_wspts_ws_l, sums_wsqcs_ws_l, & |
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320 | sums_wsqrs_ws_l, sums_wsqs_ws_l, sums_wsss_ws_l, & |
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321 | sums_wssas_ws_l, sums_wsss_ws_l, sums_wsus_ws_l, & |
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322 | sums_wsvs_ws_l |
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323 | |
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324 | |
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325 | ! |
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326 | !-- Set the appropriate factors for scalar and momentum advection. |
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327 | adv_sca_5 = 1.0_wp / 60.0_wp |
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328 | adv_sca_3 = 1.0_wp / 12.0_wp |
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329 | adv_sca_1 = 1.0_wp / 2.0_wp |
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330 | adv_mom_5 = 1.0_wp / 120.0_wp |
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331 | adv_mom_3 = 1.0_wp / 24.0_wp |
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332 | adv_mom_1 = 1.0_wp / 4.0_wp |
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333 | ! |
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334 | !-- Arrays needed for statical evaluation of fluxes. |
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335 | IF ( ws_scheme_mom ) THEN |
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336 | |
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337 | ALLOCATE( sums_wsus_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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338 | sums_wsvs_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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339 | sums_us2_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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340 | sums_vs2_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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341 | sums_ws2_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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342 | |
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343 | sums_wsus_ws_l = 0.0_wp |
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344 | sums_wsvs_ws_l = 0.0_wp |
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345 | sums_us2_ws_l = 0.0_wp |
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346 | sums_vs2_ws_l = 0.0_wp |
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347 | sums_ws2_ws_l = 0.0_wp |
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348 | |
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349 | ENDIF |
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350 | |
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351 | IF ( ws_scheme_sca ) THEN |
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352 | |
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353 | ALLOCATE( sums_wspts_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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354 | sums_wspts_ws_l = 0.0_wp |
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355 | |
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356 | IF ( humidity ) THEN |
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357 | ALLOCATE( sums_wsqs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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358 | sums_wsqs_ws_l = 0.0_wp |
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359 | ENDIF |
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360 | |
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361 | IF ( passive_scalar ) THEN |
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362 | ALLOCATE( sums_wsss_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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363 | sums_wsss_ws_l = 0.0_wp |
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364 | ENDIF |
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365 | |
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366 | IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN |
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367 | ALLOCATE( sums_wsqcs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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368 | ALLOCATE( sums_wsncs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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369 | sums_wsqcs_ws_l = 0.0_wp |
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370 | sums_wsncs_ws_l = 0.0_wp |
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371 | ENDIF |
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372 | |
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373 | IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN |
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374 | ALLOCATE( sums_wsqrs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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375 | ALLOCATE( sums_wsnrs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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376 | sums_wsqrs_ws_l = 0.0_wp |
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377 | sums_wsnrs_ws_l = 0.0_wp |
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378 | ENDIF |
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379 | |
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380 | IF ( ocean_mode ) THEN |
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381 | ALLOCATE( sums_wssas_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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382 | sums_wssas_ws_l = 0.0_wp |
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383 | ENDIF |
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384 | |
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385 | ENDIF |
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386 | |
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387 | ! |
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388 | !-- Arrays needed for reasons of speed optimization for cache version. |
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389 | !-- For the vector version the buffer arrays are not necessary, |
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390 | !-- because the the fluxes can swapped directly inside the loops of the |
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391 | !-- advection routines. |
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392 | IF ( loop_optimization /= 'vector' ) THEN |
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393 | |
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394 | IF ( ws_scheme_mom ) THEN |
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395 | |
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396 | ALLOCATE( flux_s_u(nzb+1:nzt,0:threads_per_task-1), & |
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397 | flux_s_v(nzb+1:nzt,0:threads_per_task-1), & |
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398 | flux_s_w(nzb+1:nzt,0:threads_per_task-1), & |
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399 | diss_s_u(nzb+1:nzt,0:threads_per_task-1), & |
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400 | diss_s_v(nzb+1:nzt,0:threads_per_task-1), & |
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401 | diss_s_w(nzb+1:nzt,0:threads_per_task-1) ) |
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402 | ALLOCATE( flux_l_u(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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403 | flux_l_v(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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404 | flux_l_w(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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405 | diss_l_u(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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406 | diss_l_v(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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407 | diss_l_w(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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408 | |
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409 | ENDIF |
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410 | |
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411 | IF ( ws_scheme_sca ) THEN |
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412 | |
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413 | ALLOCATE( flux_s_pt(nzb+1:nzt,0:threads_per_task-1), & |
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414 | flux_s_e(nzb+1:nzt,0:threads_per_task-1), & |
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415 | diss_s_pt(nzb+1:nzt,0:threads_per_task-1), & |
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416 | diss_s_e(nzb+1:nzt,0:threads_per_task-1) ) |
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417 | ALLOCATE( flux_l_pt(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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418 | flux_l_e(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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419 | diss_l_pt(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
---|
420 | diss_l_e(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
---|
421 | |
---|
422 | IF ( rans_tke_e ) THEN |
---|
423 | ALLOCATE( flux_s_diss(nzb+1:nzt,0:threads_per_task-1), & |
---|
424 | diss_s_diss(nzb+1:nzt,0:threads_per_task-1) ) |
---|
425 | ALLOCATE( flux_l_diss(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
---|
426 | diss_l_diss(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
---|
427 | ENDIF |
---|
428 | |
---|
429 | IF ( humidity ) THEN |
---|
430 | ALLOCATE( flux_s_q(nzb+1:nzt,0:threads_per_task-1), & |
---|
431 | diss_s_q(nzb+1:nzt,0:threads_per_task-1) ) |
---|
432 | ALLOCATE( flux_l_q(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
---|
433 | diss_l_q(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
---|
434 | ENDIF |
---|
435 | |
---|
436 | IF ( passive_scalar ) THEN |
---|
437 | ALLOCATE( flux_s_s(nzb+1:nzt,0:threads_per_task-1), & |
---|
438 | diss_s_s(nzb+1:nzt,0:threads_per_task-1) ) |
---|
439 | ALLOCATE( flux_l_s(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
---|
440 | diss_l_s(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
---|
441 | ENDIF |
---|
442 | |
---|
443 | IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN |
---|
444 | ALLOCATE( flux_s_qc(nzb+1:nzt,0:threads_per_task-1), & |
---|
445 | diss_s_qc(nzb+1:nzt,0:threads_per_task-1), & |
---|
446 | flux_s_nc(nzb+1:nzt,0:threads_per_task-1), & |
---|
447 | diss_s_nc(nzb+1:nzt,0:threads_per_task-1) ) |
---|
448 | ALLOCATE( flux_l_qc(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
---|
449 | diss_l_qc(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
---|
450 | flux_l_nc(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
---|
451 | diss_l_nc(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
---|
452 | ENDIF |
---|
453 | |
---|
454 | IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN |
---|
455 | ALLOCATE( flux_s_qr(nzb+1:nzt,0:threads_per_task-1), & |
---|
456 | diss_s_qr(nzb+1:nzt,0:threads_per_task-1), & |
---|
457 | flux_s_nr(nzb+1:nzt,0:threads_per_task-1), & |
---|
458 | diss_s_nr(nzb+1:nzt,0:threads_per_task-1) ) |
---|
459 | ALLOCATE( flux_l_qr(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
---|
460 | diss_l_qr(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
---|
461 | flux_l_nr(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
---|
462 | diss_l_nr(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
---|
463 | ENDIF |
---|
464 | |
---|
465 | IF ( ocean_mode ) THEN |
---|
466 | ALLOCATE( flux_s_sa(nzb+1:nzt,0:threads_per_task-1), & |
---|
467 | diss_s_sa(nzb+1:nzt,0:threads_per_task-1) ) |
---|
468 | ALLOCATE( flux_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
---|
469 | diss_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
---|
470 | ENDIF |
---|
471 | |
---|
472 | ENDIF |
---|
473 | |
---|
474 | ENDIF |
---|
475 | |
---|
476 | END SUBROUTINE ws_init |
---|
477 | |
---|
478 | !------------------------------------------------------------------------------! |
---|
479 | ! Description: |
---|
480 | ! ------------ |
---|
481 | !> Initialization of flags for WS-scheme used to degrade the order of the scheme |
---|
482 | !> near walls. |
---|
483 | !------------------------------------------------------------------------------! |
---|
484 | SUBROUTINE ws_init_flags |
---|
485 | |
---|
486 | USE control_parameters, & |
---|
487 | ONLY: bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, & |
---|
488 | bc_dirichlet_s, bc_radiation_l, bc_radiation_n, & |
---|
489 | bc_radiation_r, bc_radiation_s, momentum_advec, scalar_advec |
---|
490 | |
---|
491 | USE indices, & |
---|
492 | ONLY: advc_flags_1, advc_flags_2, nbgp, nxl, nxlg, nxlu, nxr, nxrg,& |
---|
493 | nyn, nyng, nys, nysg, nysv, nzb, nzt, wall_flags_0 |
---|
494 | |
---|
495 | USE kinds |
---|
496 | |
---|
497 | IMPLICIT NONE |
---|
498 | |
---|
499 | INTEGER(iwp) :: i !< index variable along x |
---|
500 | INTEGER(iwp) :: j !< index variable along y |
---|
501 | INTEGER(iwp) :: k !< index variable along z |
---|
502 | INTEGER(iwp) :: k_mm !< dummy index along z |
---|
503 | INTEGER(iwp) :: k_pp !< dummy index along z |
---|
504 | INTEGER(iwp) :: k_ppp !< dummy index along z |
---|
505 | |
---|
506 | LOGICAL :: flag_set !< steering variable for advection flags |
---|
507 | |
---|
508 | ALLOCATE( advc_flags_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), & |
---|
509 | advc_flags_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
---|
510 | advc_flags_1 = 0 |
---|
511 | advc_flags_2 = 0 |
---|
512 | IF ( scalar_advec == 'ws-scheme' ) THEN |
---|
513 | ! |
---|
514 | !-- Set flags to steer the degradation of the advection scheme in advec_ws |
---|
515 | !-- near topography, inflow- and outflow boundaries as well as bottom and |
---|
516 | !-- top of model domain. advc_flags_1 remains zero for all non-prognostic |
---|
517 | !-- grid points. |
---|
518 | DO i = nxl, nxr |
---|
519 | DO j = nys, nyn |
---|
520 | DO k = nzb+1, nzt |
---|
521 | ! |
---|
522 | !-- scalar - x-direction |
---|
523 | !-- WS1 (0), WS3 (1), WS5 (2) |
---|
524 | IF ( ( .NOT. BTEST(wall_flags_0(k,j,i+1),0) & |
---|
525 | .OR. .NOT. BTEST(wall_flags_0(k,j,i+2),0) & |
---|
526 | .OR. .NOT. BTEST(wall_flags_0(k,j,i-1),0) ) & |
---|
527 | .OR. ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
---|
528 | .AND. i == nxl ) & |
---|
529 | .OR. ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
---|
530 | .AND. i == nxr ) ) & |
---|
531 | THEN |
---|
532 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 0 ) |
---|
533 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j,i+3),0) & |
---|
534 | .AND. BTEST(wall_flags_0(k,j,i+1),0) & |
---|
535 | .AND. BTEST(wall_flags_0(k,j,i+2),0) & |
---|
536 | .AND. BTEST(wall_flags_0(k,j,i-1),0) & |
---|
537 | ) .OR. & |
---|
538 | ( .NOT. BTEST(wall_flags_0(k,j,i-2),0) & |
---|
539 | .AND. BTEST(wall_flags_0(k,j,i+1),0) & |
---|
540 | .AND. BTEST(wall_flags_0(k,j,i+2),0) & |
---|
541 | .AND. BTEST(wall_flags_0(k,j,i-1),0) & |
---|
542 | ) & |
---|
543 | .OR. & |
---|
544 | ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
---|
545 | .AND. i == nxr-1 ) .OR. & |
---|
546 | ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
---|
547 | .AND. i == nxlu ) ) & ! why not nxl+1 |
---|
548 | THEN |
---|
549 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 1 ) |
---|
550 | ELSEIF ( BTEST(wall_flags_0(k,j,i+1),0) & |
---|
551 | .AND. BTEST(wall_flags_0(k,j,i+2),0) & |
---|
552 | .AND. BTEST(wall_flags_0(k,j,i+3),0) & |
---|
553 | .AND. BTEST(wall_flags_0(k,j,i-1),0) & |
---|
554 | .AND. BTEST(wall_flags_0(k,j,i-2),0) ) & |
---|
555 | THEN |
---|
556 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 2 ) |
---|
557 | ENDIF |
---|
558 | ! |
---|
559 | !-- scalar - y-direction |
---|
560 | !-- WS1 (3), WS3 (4), WS5 (5) |
---|
561 | IF ( ( .NOT. BTEST(wall_flags_0(k,j+1,i),0) & |
---|
562 | .OR. .NOT. BTEST(wall_flags_0(k,j+2,i),0) & |
---|
563 | .OR. .NOT. BTEST(wall_flags_0(k,j-1,i),0)) & |
---|
564 | .OR. ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
---|
565 | .AND. j == nys ) & |
---|
566 | .OR. ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
---|
567 | .AND. j == nyn ) ) & |
---|
568 | THEN |
---|
569 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 3 ) |
---|
570 | ! |
---|
571 | !-- WS3 |
---|
572 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j+3,i),0) & |
---|
573 | .AND. BTEST(wall_flags_0(k,j+1,i),0) & |
---|
574 | .AND. BTEST(wall_flags_0(k,j+2,i),0) & |
---|
575 | .AND. BTEST(wall_flags_0(k,j-1,i),0) & |
---|
576 | ) .OR. & |
---|
577 | ( .NOT. BTEST(wall_flags_0(k,j-2,i),0) & |
---|
578 | .AND. BTEST(wall_flags_0(k,j+1,i),0) & |
---|
579 | .AND. BTEST(wall_flags_0(k,j+2,i),0) & |
---|
580 | .AND. BTEST(wall_flags_0(k,j-1,i),0) & |
---|
581 | ) & |
---|
582 | .OR. & |
---|
583 | ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
---|
584 | .AND. j == nysv ) .OR. & ! why not nys+1 |
---|
585 | ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
---|
586 | .AND. j == nyn-1 ) ) & |
---|
587 | THEN |
---|
588 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 4 ) |
---|
589 | ! |
---|
590 | !-- WS5 |
---|
591 | ELSEIF ( BTEST(wall_flags_0(k,j+1,i),0) & |
---|
592 | .AND. BTEST(wall_flags_0(k,j+2,i),0) & |
---|
593 | .AND. BTEST(wall_flags_0(k,j+3,i),0) & |
---|
594 | .AND. BTEST(wall_flags_0(k,j-1,i),0) & |
---|
595 | .AND. BTEST(wall_flags_0(k,j-2,i),0) ) & |
---|
596 | THEN |
---|
597 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 5 ) |
---|
598 | ENDIF |
---|
599 | ! |
---|
600 | !-- scalar - z-direction |
---|
601 | !-- WS1 (6), WS3 (7), WS5 (8) |
---|
602 | IF ( k == nzb+1 ) THEN |
---|
603 | k_mm = nzb |
---|
604 | ELSE |
---|
605 | k_mm = k - 2 |
---|
606 | ENDIF |
---|
607 | IF ( k > nzt-1 ) THEN |
---|
608 | k_pp = nzt+1 |
---|
609 | ELSE |
---|
610 | k_pp = k + 2 |
---|
611 | ENDIF |
---|
612 | IF ( k > nzt-2 ) THEN |
---|
613 | k_ppp = nzt+1 |
---|
614 | ELSE |
---|
615 | k_ppp = k + 3 |
---|
616 | ENDIF |
---|
617 | |
---|
618 | flag_set = .FALSE. |
---|
619 | IF ( .NOT. BTEST(wall_flags_0(k-1,j,i),0) .AND. & |
---|
620 | BTEST(wall_flags_0(k,j,i),0) .OR. & |
---|
621 | .NOT. BTEST(wall_flags_0(k_pp,j,i),0) .AND. & |
---|
622 | BTEST(wall_flags_0(k,j,i),0) .OR. & |
---|
623 | k == nzt ) & |
---|
624 | THEN |
---|
625 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 6 ) |
---|
626 | flag_set = .TRUE. |
---|
627 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k_mm,j,i),0) .OR. & |
---|
628 | .NOT. BTEST(wall_flags_0(k_ppp,j,i),0) ) .AND. & |
---|
629 | BTEST(wall_flags_0(k-1,j,i),0) .AND. & |
---|
630 | BTEST(wall_flags_0(k,j,i),0) .AND. & |
---|
631 | BTEST(wall_flags_0(k+1,j,i),0) .AND. & |
---|
632 | BTEST(wall_flags_0(k_pp,j,i),0) .OR. & |
---|
633 | k == nzt - 1 ) & |
---|
634 | THEN |
---|
635 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 7 ) |
---|
636 | flag_set = .TRUE. |
---|
637 | ELSEIF ( BTEST(wall_flags_0(k_mm,j,i),0) & |
---|
638 | .AND. BTEST(wall_flags_0(k-1,j,i),0) & |
---|
639 | .AND. BTEST(wall_flags_0(k,j,i),0) & |
---|
640 | .AND. BTEST(wall_flags_0(k+1,j,i),0) & |
---|
641 | .AND. BTEST(wall_flags_0(k_pp,j,i),0) & |
---|
642 | .AND. BTEST(wall_flags_0(k_ppp,j,i),0) & |
---|
643 | .AND. .NOT. flag_set ) & |
---|
644 | THEN |
---|
645 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 8 ) |
---|
646 | ENDIF |
---|
647 | |
---|
648 | ENDDO |
---|
649 | ENDDO |
---|
650 | ENDDO |
---|
651 | ENDIF |
---|
652 | |
---|
653 | IF ( momentum_advec == 'ws-scheme' ) THEN |
---|
654 | ! |
---|
655 | !-- Set advc_flags_1 to steer the degradation of the advection scheme in advec_ws |
---|
656 | !-- near topography, inflow- and outflow boundaries as well as bottom and |
---|
657 | !-- top of model domain. advc_flags_1 remains zero for all non-prognostic |
---|
658 | !-- grid points. |
---|
659 | DO i = nxl, nxr |
---|
660 | DO j = nys, nyn |
---|
661 | DO k = nzb+1, nzt |
---|
662 | ! |
---|
663 | !-- At first, set flags to WS1. |
---|
664 | !-- Since fluxes are swapped in advec_ws.f90, this is necessary to |
---|
665 | !-- in order to handle the left/south flux. |
---|
666 | !-- near vertical walls. |
---|
667 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 9 ) |
---|
668 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 12 ) |
---|
669 | ! |
---|
670 | !-- u component - x-direction |
---|
671 | !-- WS1 (9), WS3 (10), WS5 (11) |
---|
672 | IF ( .NOT. BTEST(wall_flags_0(k,j,i+1),1) .OR. & |
---|
673 | ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
---|
674 | .AND. i <= nxlu ) .OR. & |
---|
675 | ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
---|
676 | .AND. i == nxr ) ) & |
---|
677 | THEN |
---|
678 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 9 ) |
---|
679 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j,i+2),1) .AND. & |
---|
680 | BTEST(wall_flags_0(k,j,i+1),1) .OR. & |
---|
681 | .NOT. BTEST(wall_flags_0(k,j,i-1),1) ) & |
---|
682 | .OR. & |
---|
683 | ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
---|
684 | .AND. i == nxr-1 ) .OR. & |
---|
685 | ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
---|
686 | .AND. i == nxlu+1) ) & |
---|
687 | THEN |
---|
688 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 10 ) |
---|
689 | ! |
---|
690 | !-- Clear flag for WS1 |
---|
691 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 9 ) |
---|
692 | ELSEIF ( BTEST(wall_flags_0(k,j,i+1),1) .AND. & |
---|
693 | BTEST(wall_flags_0(k,j,i+2),1) .AND. & |
---|
694 | BTEST(wall_flags_0(k,j,i-1),1) ) & |
---|
695 | THEN |
---|
696 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 11 ) |
---|
697 | ! |
---|
698 | !-- Clear flag for WS1 |
---|
699 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 9 ) |
---|
700 | ENDIF |
---|
701 | ! |
---|
702 | !-- u component - y-direction |
---|
703 | !-- WS1 (12), WS3 (13), WS5 (14) |
---|
704 | IF ( .NOT. BTEST(wall_flags_0(k,j+1,i),1) .OR. & |
---|
705 | ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
---|
706 | .AND. j == nys ) .OR. & |
---|
707 | ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
---|
708 | .AND. j == nyn ) ) & |
---|
709 | THEN |
---|
710 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 12 ) |
---|
711 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j+2,i),1) .AND. & |
---|
712 | BTEST(wall_flags_0(k,j+1,i),1) .OR. & |
---|
713 | .NOT. BTEST(wall_flags_0(k,j-1,i),1) ) & |
---|
714 | .OR. & |
---|
715 | ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
---|
716 | .AND. j == nysv ) .OR. & |
---|
717 | ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
---|
718 | .AND. j == nyn-1 ) ) & |
---|
719 | THEN |
---|
720 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 13 ) |
---|
721 | ! |
---|
722 | !-- Clear flag for WS1 |
---|
723 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 12 ) |
---|
724 | ELSEIF ( BTEST(wall_flags_0(k,j+1,i),1) .AND. & |
---|
725 | BTEST(wall_flags_0(k,j+2,i),1) .AND. & |
---|
726 | BTEST(wall_flags_0(k,j-1,i),1) ) & |
---|
727 | THEN |
---|
728 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 14 ) |
---|
729 | ! |
---|
730 | !-- Clear flag for WS1 |
---|
731 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 12 ) |
---|
732 | ENDIF |
---|
733 | ! |
---|
734 | !-- u component - z-direction |
---|
735 | !-- WS1 (15), WS3 (16), WS5 (17) |
---|
736 | IF ( k == nzb+1 ) THEN |
---|
737 | k_mm = nzb |
---|
738 | ELSE |
---|
739 | k_mm = k - 2 |
---|
740 | ENDIF |
---|
741 | IF ( k > nzt-1 ) THEN |
---|
742 | k_pp = nzt+1 |
---|
743 | ELSE |
---|
744 | k_pp = k + 2 |
---|
745 | ENDIF |
---|
746 | IF ( k > nzt-2 ) THEN |
---|
747 | k_ppp = nzt+1 |
---|
748 | ELSE |
---|
749 | k_ppp = k + 3 |
---|
750 | ENDIF |
---|
751 | |
---|
752 | flag_set = .FALSE. |
---|
753 | IF ( .NOT. BTEST(wall_flags_0(k-1,j,i),1) .AND. & |
---|
754 | BTEST(wall_flags_0(k,j,i),1) .OR. & |
---|
755 | .NOT. BTEST(wall_flags_0(k_pp,j,i),1) .AND. & |
---|
756 | BTEST(wall_flags_0(k,j,i),1) .OR. & |
---|
757 | k == nzt ) & |
---|
758 | THEN |
---|
759 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 15 ) |
---|
760 | flag_set = .TRUE. |
---|
761 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k_mm,j,i),1) .OR. & |
---|
762 | .NOT. BTEST(wall_flags_0(k_ppp,j,i),1) ) .AND. & |
---|
763 | BTEST(wall_flags_0(k-1,j,i),1) .AND. & |
---|
764 | BTEST(wall_flags_0(k,j,i),1) .AND. & |
---|
765 | BTEST(wall_flags_0(k+1,j,i),1) .AND. & |
---|
766 | BTEST(wall_flags_0(k_pp,j,i),1) .OR. & |
---|
767 | k == nzt - 1 ) & |
---|
768 | THEN |
---|
769 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 16 ) |
---|
770 | flag_set = .TRUE. |
---|
771 | ELSEIF ( BTEST(wall_flags_0(k_mm,j,i),1) .AND. & |
---|
772 | BTEST(wall_flags_0(k-1,j,i),1) .AND. & |
---|
773 | BTEST(wall_flags_0(k,j,i),1) .AND. & |
---|
774 | BTEST(wall_flags_0(k+1,j,i),1) .AND. & |
---|
775 | BTEST(wall_flags_0(k_pp,j,i),1) .AND. & |
---|
776 | BTEST(wall_flags_0(k_ppp,j,i),1) .AND. & |
---|
777 | .NOT. flag_set ) & |
---|
778 | THEN |
---|
779 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 17 ) |
---|
780 | ENDIF |
---|
781 | |
---|
782 | ENDDO |
---|
783 | ENDDO |
---|
784 | ENDDO |
---|
785 | |
---|
786 | DO i = nxl, nxr |
---|
787 | DO j = nys, nyn |
---|
788 | DO k = nzb+1, nzt |
---|
789 | ! |
---|
790 | !-- At first, set flags to WS1. |
---|
791 | !-- Since fluxes are swapped in advec_ws.f90, this is necessary to |
---|
792 | !-- in order to handle the left/south flux. |
---|
793 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 18 ) |
---|
794 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 21 ) |
---|
795 | ! |
---|
796 | !-- v component - x-direction |
---|
797 | !-- WS1 (18), WS3 (19), WS5 (20) |
---|
798 | IF ( .NOT. BTEST(wall_flags_0(k,j,i+1),2) .OR. & |
---|
799 | ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
---|
800 | .AND. i == nxl ) .OR. & |
---|
801 | ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
---|
802 | .AND. i == nxr ) ) & |
---|
803 | THEN |
---|
804 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 18 ) |
---|
805 | ! |
---|
806 | !-- WS3 |
---|
807 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j,i+2),2) .AND. & |
---|
808 | BTEST(wall_flags_0(k,j,i+1),2) ) .OR. & |
---|
809 | .NOT. BTEST(wall_flags_0(k,j,i-1),2) & |
---|
810 | .OR. & |
---|
811 | ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
---|
812 | .AND. i == nxr-1 ) .OR. & |
---|
813 | ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
---|
814 | .AND. i == nxlu ) ) & |
---|
815 | THEN |
---|
816 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 19 ) |
---|
817 | ! |
---|
818 | !-- Clear flag for WS1 |
---|
819 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 18 ) |
---|
820 | ELSEIF ( BTEST(wall_flags_0(k,j,i+1),2) .AND. & |
---|
821 | BTEST(wall_flags_0(k,j,i+2),2) .AND. & |
---|
822 | BTEST(wall_flags_0(k,j,i-1),2) ) & |
---|
823 | THEN |
---|
824 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 20 ) |
---|
825 | ! |
---|
826 | !-- Clear flag for WS1 |
---|
827 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 18 ) |
---|
828 | ENDIF |
---|
829 | ! |
---|
830 | !-- v component - y-direction |
---|
831 | !-- WS1 (21), WS3 (22), WS5 (23) |
---|
832 | IF ( .NOT. BTEST(wall_flags_0(k,j+1,i),2) .OR. & |
---|
833 | ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
---|
834 | .AND. j <= nysv ) .OR. & |
---|
835 | ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
---|
836 | .AND. j == nyn ) ) & |
---|
837 | THEN |
---|
838 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 21 ) |
---|
839 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j+2,i),2) .AND. & |
---|
840 | BTEST(wall_flags_0(k,j+1,i),2) .OR. & |
---|
841 | .NOT. BTEST(wall_flags_0(k,j-1,i),2) ) & |
---|
842 | .OR. & |
---|
843 | ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
---|
844 | .AND. j == nysv+1) .OR. & |
---|
845 | ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
---|
846 | .AND. j == nyn-1 ) ) & |
---|
847 | THEN |
---|
848 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 22 ) |
---|
849 | ! |
---|
850 | !-- Clear flag for WS1 |
---|
851 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 21 ) |
---|
852 | ELSEIF ( BTEST(wall_flags_0(k,j+1,i),2) .AND. & |
---|
853 | BTEST(wall_flags_0(k,j+2,i),2) .AND. & |
---|
854 | BTEST(wall_flags_0(k,j-1,i),2) ) & |
---|
855 | THEN |
---|
856 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 23 ) |
---|
857 | ! |
---|
858 | !-- Clear flag for WS1 |
---|
859 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 21 ) |
---|
860 | ENDIF |
---|
861 | ! |
---|
862 | !-- v component - z-direction |
---|
863 | !-- WS1 (24), WS3 (25), WS5 (26) |
---|
864 | IF ( k == nzb+1 ) THEN |
---|
865 | k_mm = nzb |
---|
866 | ELSE |
---|
867 | k_mm = k - 2 |
---|
868 | ENDIF |
---|
869 | IF ( k > nzt-1 ) THEN |
---|
870 | k_pp = nzt+1 |
---|
871 | ELSE |
---|
872 | k_pp = k + 2 |
---|
873 | ENDIF |
---|
874 | IF ( k > nzt-2 ) THEN |
---|
875 | k_ppp = nzt+1 |
---|
876 | ELSE |
---|
877 | k_ppp = k + 3 |
---|
878 | ENDIF |
---|
879 | |
---|
880 | flag_set = .FALSE. |
---|
881 | IF ( .NOT. BTEST(wall_flags_0(k-1,j,i),2) .AND. & |
---|
882 | BTEST(wall_flags_0(k,j,i),2) .OR. & |
---|
883 | .NOT. BTEST(wall_flags_0(k_pp,j,i),2) .AND. & |
---|
884 | BTEST(wall_flags_0(k,j,i),2) .OR. & |
---|
885 | k == nzt ) & |
---|
886 | THEN |
---|
887 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 24 ) |
---|
888 | flag_set = .TRUE. |
---|
889 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k_mm,j,i),2) .OR. & |
---|
890 | .NOT. BTEST(wall_flags_0(k_ppp,j,i),2) ) .AND. & |
---|
891 | BTEST(wall_flags_0(k-1,j,i),2) .AND. & |
---|
892 | BTEST(wall_flags_0(k,j,i),2) .AND. & |
---|
893 | BTEST(wall_flags_0(k+1,j,i),2) .AND. & |
---|
894 | BTEST(wall_flags_0(k_pp,j,i),2) .OR. & |
---|
895 | k == nzt - 1 ) & |
---|
896 | THEN |
---|
897 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 25 ) |
---|
898 | flag_set = .TRUE. |
---|
899 | ELSEIF ( BTEST(wall_flags_0(k_mm,j,i),2) .AND. & |
---|
900 | BTEST(wall_flags_0(k-1,j,i),2) .AND. & |
---|
901 | BTEST(wall_flags_0(k,j,i),2) .AND. & |
---|
902 | BTEST(wall_flags_0(k+1,j,i),2) .AND. & |
---|
903 | BTEST(wall_flags_0(k_pp,j,i),2) .AND. & |
---|
904 | BTEST(wall_flags_0(k_ppp,j,i),2) .AND. & |
---|
905 | .NOT. flag_set ) & |
---|
906 | THEN |
---|
907 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 26 ) |
---|
908 | ENDIF |
---|
909 | |
---|
910 | ENDDO |
---|
911 | ENDDO |
---|
912 | ENDDO |
---|
913 | DO i = nxl, nxr |
---|
914 | DO j = nys, nyn |
---|
915 | DO k = nzb+1, nzt |
---|
916 | ! |
---|
917 | !-- At first, set flags to WS1. |
---|
918 | !-- Since fluxes are swapped in advec_ws.f90, this is necessary to |
---|
919 | !-- in order to handle the left/south flux. |
---|
920 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 27 ) |
---|
921 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 30 ) |
---|
922 | ! |
---|
923 | !-- w component - x-direction |
---|
924 | !-- WS1 (27), WS3 (28), WS5 (29) |
---|
925 | IF ( .NOT. BTEST(wall_flags_0(k,j,i+1),3) .OR. & |
---|
926 | ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
---|
927 | .AND. i == nxl ) .OR. & |
---|
928 | ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
---|
929 | .AND. i == nxr ) ) & |
---|
930 | THEN |
---|
931 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 27 ) |
---|
932 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j,i+2),3) .AND. & |
---|
933 | BTEST(wall_flags_0(k,j,i+1),3) .OR. & |
---|
934 | .NOT. BTEST(wall_flags_0(k,j,i-1),3) ) & |
---|
935 | .OR. & |
---|
936 | ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
---|
937 | .AND. i == nxr-1 ) .OR. & |
---|
938 | ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
---|
939 | .AND. i == nxlu ) ) & |
---|
940 | THEN |
---|
941 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 28 ) |
---|
942 | ! |
---|
943 | !-- Clear flag for WS1 |
---|
944 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 27 ) |
---|
945 | ELSEIF ( BTEST(wall_flags_0(k,j,i+1),3) .AND. & |
---|
946 | BTEST(wall_flags_0(k,j,i+2),3) .AND. & |
---|
947 | BTEST(wall_flags_0(k,j,i-1),3) ) & |
---|
948 | THEN |
---|
949 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i),29 ) |
---|
950 | ! |
---|
951 | !-- Clear flag for WS1 |
---|
952 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 27 ) |
---|
953 | ENDIF |
---|
954 | ! |
---|
955 | !-- w component - y-direction |
---|
956 | !-- WS1 (30), WS3 (31), WS5 (32) |
---|
957 | IF ( .NOT. BTEST(wall_flags_0(k,j+1,i),3) .OR. & |
---|
958 | ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
---|
959 | .AND. j == nys ) .OR. & |
---|
960 | ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
---|
961 | .AND. j == nyn ) ) & |
---|
962 | THEN |
---|
963 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 30 ) |
---|
964 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j+2,i),3) .AND. & |
---|
965 | BTEST(wall_flags_0(k,j+1,i),3) .OR. & |
---|
966 | .NOT. BTEST(wall_flags_0(k,j-1,i),3) ) & |
---|
967 | .OR. & |
---|
968 | ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
---|
969 | .AND. j == nysv ) .OR. & |
---|
970 | ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
---|
971 | .AND. j == nyn-1 ) ) & |
---|
972 | THEN |
---|
973 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 31 ) |
---|
974 | ! |
---|
975 | !-- Clear flag for WS1 |
---|
976 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 30 ) |
---|
977 | ELSEIF ( BTEST(wall_flags_0(k,j+1,i),3) .AND. & |
---|
978 | BTEST(wall_flags_0(k,j+2,i),3) .AND. & |
---|
979 | BTEST(wall_flags_0(k,j-1,i),3) ) & |
---|
980 | THEN |
---|
981 | advc_flags_2(k,j,i) = IBSET( advc_flags_2(k,j,i), 0 ) |
---|
982 | ! |
---|
983 | !-- Clear flag for WS1 |
---|
984 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 30 ) |
---|
985 | ENDIF |
---|
986 | ! |
---|
987 | !-- w component - z-direction |
---|
988 | !-- WS1 (33), WS3 (34), WS5 (35) |
---|
989 | flag_set = .FALSE. |
---|
990 | IF ( k == nzb+1 ) THEN |
---|
991 | k_mm = nzb |
---|
992 | ELSE |
---|
993 | k_mm = k - 2 |
---|
994 | ENDIF |
---|
995 | IF ( k > nzt-1 ) THEN |
---|
996 | k_pp = nzt+1 |
---|
997 | ELSE |
---|
998 | k_pp = k + 2 |
---|
999 | ENDIF |
---|
1000 | IF ( k > nzt-2 ) THEN |
---|
1001 | k_ppp = nzt+1 |
---|
1002 | ELSE |
---|
1003 | k_ppp = k + 3 |
---|
1004 | ENDIF |
---|
1005 | |
---|
1006 | IF ( ( .NOT. BTEST(wall_flags_0(k-1,j,i),3) .AND. & |
---|
1007 | .NOT. BTEST(wall_flags_0(k,j,i),3) .AND. & |
---|
1008 | BTEST(wall_flags_0(k+1,j,i),3) ) .OR. & |
---|
1009 | ( .NOT. BTEST(wall_flags_0(k-1,j,i),3) .AND. & |
---|
1010 | BTEST(wall_flags_0(k,j,i),3) ) .OR. & |
---|
1011 | ( .NOT. BTEST(wall_flags_0(k+1,j,i),3) .AND. & |
---|
1012 | BTEST(wall_flags_0(k,j,i),3) ) .OR. & |
---|
1013 | k == nzt ) & |
---|
1014 | THEN |
---|
1015 | ! |
---|
1016 | !-- Please note, at k == nzb_w_inner(j,i) a flag is explictely |
---|
1017 | !-- set, although this is not a prognostic level. However, |
---|
1018 | !-- contrary to the advection of u,v and s this is necessary |
---|
1019 | !-- because flux_t(nzb_w_inner(j,i)) is used for the tendency |
---|
1020 | !-- at k == nzb_w_inner(j,i)+1. |
---|
1021 | advc_flags_2(k,j,i) = IBSET( advc_flags_2(k,j,i), 1 ) |
---|
1022 | flag_set = .TRUE. |
---|
1023 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k_mm,j,i),3) .OR. & |
---|
1024 | .NOT. BTEST(wall_flags_0(k_ppp,j,i),3) ) .AND. & |
---|
1025 | BTEST(wall_flags_0(k-1,j,i),3) .AND. & |
---|
1026 | BTEST(wall_flags_0(k,j,i),3) .AND. & |
---|
1027 | BTEST(wall_flags_0(k+1,j,i),3) .OR. & |
---|
1028 | k == nzt - 1 ) & |
---|
1029 | THEN |
---|
1030 | advc_flags_2(k,j,i) = IBSET( advc_flags_2(k,j,i), 2 ) |
---|
1031 | flag_set = .TRUE. |
---|
1032 | ELSEIF ( BTEST(wall_flags_0(k_mm,j,i),3) .AND. & |
---|
1033 | BTEST(wall_flags_0(k-1,j,i),3) .AND. & |
---|
1034 | BTEST(wall_flags_0(k,j,i),3) .AND. & |
---|
1035 | BTEST(wall_flags_0(k+1,j,i),3) .AND. & |
---|
1036 | BTEST(wall_flags_0(k_pp,j,i),3) .AND. & |
---|
1037 | BTEST(wall_flags_0(k_ppp,j,i),3) .AND. & |
---|
1038 | .NOT. flag_set ) & |
---|
1039 | THEN |
---|
1040 | advc_flags_2(k,j,i) = IBSET( advc_flags_2(k,j,i), 3 ) |
---|
1041 | ENDIF |
---|
1042 | |
---|
1043 | ENDDO |
---|
1044 | ENDDO |
---|
1045 | ENDDO |
---|
1046 | |
---|
1047 | ENDIF |
---|
1048 | |
---|
1049 | |
---|
1050 | ! |
---|
1051 | !-- Exchange 3D integer wall_flags. |
---|
1052 | IF ( momentum_advec == 'ws-scheme' .OR. scalar_advec == 'ws-scheme' & |
---|
1053 | ) THEN |
---|
1054 | ! |
---|
1055 | !-- Exchange ghost points for advection flags |
---|
1056 | CALL exchange_horiz_int( advc_flags_1, nys, nyn, nxl, nxr, nzt, nbgp ) |
---|
1057 | CALL exchange_horiz_int( advc_flags_2, nys, nyn, nxl, nxr, nzt, nbgp ) |
---|
1058 | ! |
---|
1059 | !-- Set boundary flags at inflow and outflow boundary in case of |
---|
1060 | !-- non-cyclic boundary conditions. |
---|
1061 | IF ( bc_dirichlet_l .OR. bc_radiation_l ) THEN |
---|
1062 | advc_flags_1(:,:,nxl-1) = advc_flags_1(:,:,nxl) |
---|
1063 | advc_flags_2(:,:,nxl-1) = advc_flags_2(:,:,nxl) |
---|
1064 | ENDIF |
---|
1065 | |
---|
1066 | IF ( bc_dirichlet_r .OR. bc_radiation_r ) THEN |
---|
1067 | advc_flags_1(:,:,nxr+1) = advc_flags_1(:,:,nxr) |
---|
1068 | advc_flags_2(:,:,nxr+1) = advc_flags_2(:,:,nxr) |
---|
1069 | ENDIF |
---|
1070 | |
---|
1071 | IF ( bc_dirichlet_n .OR. bc_radiation_n ) THEN |
---|
1072 | advc_flags_1(:,nyn+1,:) = advc_flags_1(:,nyn,:) |
---|
1073 | advc_flags_2(:,nyn+1,:) = advc_flags_2(:,nyn,:) |
---|
1074 | ENDIF |
---|
1075 | |
---|
1076 | IF ( bc_dirichlet_s .OR. bc_radiation_s ) THEN |
---|
1077 | advc_flags_1(:,nys-1,:) = advc_flags_1(:,nys,:) |
---|
1078 | advc_flags_2(:,nys-1,:) = advc_flags_2(:,nys,:) |
---|
1079 | ENDIF |
---|
1080 | |
---|
1081 | ENDIF |
---|
1082 | |
---|
1083 | |
---|
1084 | END SUBROUTINE ws_init_flags |
---|
1085 | |
---|
1086 | |
---|
1087 | !------------------------------------------------------------------------------! |
---|
1088 | ! Description: |
---|
1089 | ! ------------ |
---|
1090 | !> Initialize variables used for storing statistic quantities (fluxes, variances) |
---|
1091 | !------------------------------------------------------------------------------! |
---|
1092 | SUBROUTINE ws_statistics |
---|
1093 | |
---|
1094 | USE control_parameters, & |
---|
1095 | ONLY: humidity, passive_scalar, ocean_mode, ws_scheme_mom, & |
---|
1096 | ws_scheme_sca |
---|
1097 | |
---|
1098 | USE kinds |
---|
1099 | |
---|
1100 | USE bulk_cloud_model_mod, & |
---|
1101 | ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert |
---|
1102 | |
---|
1103 | USE statistics, & |
---|
1104 | ONLY: sums_us2_ws_l, sums_vs2_ws_l, sums_ws2_ws_l, sums_wsncs_ws_l,& |
---|
1105 | sums_wsnrs_ws_l, sums_wspts_ws_l, sums_wsqcs_ws_l, & |
---|
1106 | sums_wsqrs_ws_l, sums_wsqs_ws_l, sums_wsss_ws_l, & |
---|
1107 | sums_wssas_ws_l, sums_wsus_ws_l, sums_wsvs_ws_l |
---|
1108 | |
---|
1109 | |
---|
1110 | IMPLICIT NONE |
---|
1111 | |
---|
1112 | ! |
---|
1113 | !-- The arrays needed for statistical evaluation are set to to 0 at the |
---|
1114 | !-- beginning of prognostic_equations. |
---|
1115 | IF ( ws_scheme_mom ) THEN |
---|
1116 | sums_wsus_ws_l = 0.0_wp |
---|
1117 | sums_wsvs_ws_l = 0.0_wp |
---|
1118 | sums_us2_ws_l = 0.0_wp |
---|
1119 | sums_vs2_ws_l = 0.0_wp |
---|
1120 | sums_ws2_ws_l = 0.0_wp |
---|
1121 | ENDIF |
---|
1122 | |
---|
1123 | IF ( ws_scheme_sca ) THEN |
---|
1124 | sums_wspts_ws_l = 0.0_wp |
---|
1125 | IF ( humidity ) sums_wsqs_ws_l = 0.0_wp |
---|
1126 | IF ( passive_scalar ) sums_wsss_ws_l = 0.0_wp |
---|
1127 | IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN |
---|
1128 | sums_wsqcs_ws_l = 0.0_wp |
---|
1129 | sums_wsncs_ws_l = 0.0_wp |
---|
1130 | ENDIF |
---|
1131 | IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN |
---|
1132 | sums_wsqrs_ws_l = 0.0_wp |
---|
1133 | sums_wsnrs_ws_l = 0.0_wp |
---|
1134 | ENDIF |
---|
1135 | IF ( ocean_mode ) sums_wssas_ws_l = 0.0_wp |
---|
1136 | |
---|
1137 | ENDIF |
---|
1138 | |
---|
1139 | END SUBROUTINE ws_statistics |
---|
1140 | |
---|
1141 | |
---|
1142 | !------------------------------------------------------------------------------! |
---|
1143 | ! Description: |
---|
1144 | ! ------------ |
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1145 | !> Scalar advection - Call for grid point i,j |
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1146 | !------------------------------------------------------------------------------! |
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1147 | SUBROUTINE advec_s_ws_ij( i, j, sk, sk_char, swap_flux_y_local, & |
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1148 | swap_diss_y_local, swap_flux_x_local, & |
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1149 | swap_diss_x_local, i_omp, tn ) |
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1150 | |
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1151 | USE arrays_3d, & |
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1152 | ONLY: ddzw, drho_air, rho_air_zw, tend, u, u_stokes_zu, v, & |
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1153 | v_stokes_zu, w |
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1154 | |
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1155 | USE control_parameters, & |
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1156 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
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1157 | |
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1158 | USE grid_variables, & |
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1159 | ONLY: ddx, ddy |
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1160 | |
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1161 | USE indices, & |
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1162 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzb_max, & |
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1163 | nzt, advc_flags_1 |
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1164 | |
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1165 | USE kinds |
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1166 | |
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1167 | USE pegrid |
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1168 | |
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1169 | USE statistics, & |
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1170 | ONLY: hom, sums_wsncs_ws_l, sums_wsnrs_ws_l, sums_wspts_ws_l, & |
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1171 | sums_wsqcs_ws_l, sums_wsqrs_ws_l, sums_wsqs_ws_l, & |
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1172 | sums_wssas_ws_l, sums_wsss_ws_l, weight_substep |
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1173 | |
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1174 | |
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1175 | IMPLICIT NONE |
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1176 | |
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1177 | CHARACTER (LEN = *), INTENT(IN) :: sk_char !< |
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1178 | |
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1179 | INTEGER(iwp) :: i !< |
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1180 | INTEGER(iwp) :: ibit0 !< |
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1181 | INTEGER(iwp) :: ibit1 !< |
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1182 | INTEGER(iwp) :: ibit2 !< |
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1183 | INTEGER(iwp) :: ibit3 !< |
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1184 | INTEGER(iwp) :: ibit4 !< |
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1185 | INTEGER(iwp) :: ibit5 !< |
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1186 | INTEGER(iwp) :: ibit6 !< |
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1187 | INTEGER(iwp) :: ibit7 !< |
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1188 | INTEGER(iwp) :: ibit8 !< |
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1189 | INTEGER(iwp) :: i_omp !< |
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1190 | INTEGER(iwp) :: j !< |
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1191 | INTEGER(iwp) :: k !< |
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1192 | INTEGER(iwp) :: k_mm !< |
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1193 | INTEGER(iwp) :: k_pp !< |
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1194 | INTEGER(iwp) :: k_ppp !< |
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1195 | INTEGER(iwp) :: tn !< |
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1196 | |
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1197 | REAL(wp) :: diss_d !< |
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1198 | REAL(wp) :: div !< |
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1199 | REAL(wp) :: flux_d !< |
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1200 | REAL(wp) :: u_comp !< |
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1201 | REAL(wp) :: v_comp !< |
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1202 | |
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1203 | #if defined( __nopointer ) |
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1204 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk !< |
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1205 | #else |
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1206 | REAL(wp), DIMENSION(:,:,:), POINTER :: sk !< |
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1207 | #endif |
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1208 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_n !< |
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1209 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_r !< |
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1210 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_t !< |
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1211 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_n !< |
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1212 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_r !< |
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1213 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_t !< |
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1214 | |
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1215 | REAL(wp), DIMENSION(nzb+1:nzt,0:threads_per_task-1) :: swap_diss_y_local !< |
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1216 | REAL(wp), DIMENSION(nzb+1:nzt,0:threads_per_task-1) :: swap_flux_y_local !< |
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1217 | |
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1218 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn,0:threads_per_task-1) :: swap_diss_x_local !< |
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1219 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn,0:threads_per_task-1) :: swap_flux_x_local !< |
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1220 | |
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1221 | |
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1222 | ! |
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1223 | !-- Compute southside fluxes of the respective PE bounds. |
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1224 | IF ( j == nys ) THEN |
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1225 | ! |
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1226 | !-- Up to the top of the highest topography. |
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1227 | DO k = nzb+1, nzb_max |
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1228 | |
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1229 | ibit5 = IBITS(advc_flags_1(k,j-1,i),5,1) |
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1230 | ibit4 = IBITS(advc_flags_1(k,j-1,i),4,1) |
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1231 | ibit3 = IBITS(advc_flags_1(k,j-1,i),3,1) |
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1232 | |
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1233 | v_comp = v(k,j,i) - v_gtrans + v_stokes_zu(k) |
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1234 | swap_flux_y_local(k,tn) = v_comp * ( & |
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1235 | ( 37.0_wp * ibit5 * adv_sca_5 & |
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1236 | + 7.0_wp * ibit4 * adv_sca_3 & |
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1237 | + ibit3 * adv_sca_1 & |
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1238 | ) * & |
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1239 | ( sk(k,j,i) + sk(k,j-1,i) ) & |
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1240 | - ( 8.0_wp * ibit5 * adv_sca_5 & |
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1241 | + ibit4 * adv_sca_3 & |
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1242 | ) * & |
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1243 | ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
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1244 | + ( ibit5 * adv_sca_5 & |
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1245 | ) * & |
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1246 | ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
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1247 | ) |
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1248 | |
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1249 | swap_diss_y_local(k,tn) = -ABS( v_comp ) * ( & |
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1250 | ( 10.0_wp * ibit5 * adv_sca_5 & |
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1251 | + 3.0_wp * ibit4 * adv_sca_3 & |
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1252 | + ibit3 * adv_sca_1 & |
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1253 | ) * & |
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1254 | ( sk(k,j,i) - sk(k,j-1,i) ) & |
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1255 | - ( 5.0_wp * ibit5 * adv_sca_5 & |
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1256 | + ibit4 * adv_sca_3 & |
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1257 | ) * & |
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1258 | ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
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1259 | + ( ibit5 * adv_sca_5 & |
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1260 | ) * & |
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1261 | ( sk(k,j+2,i) - sk(k,j-3,i) ) & |
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1262 | ) |
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1263 | |
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1264 | ENDDO |
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1265 | ! |
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1266 | !-- Above to the top of the highest topography. No degradation necessary. |
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1267 | DO k = nzb_max+1, nzt |
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1268 | |
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1269 | v_comp = v(k,j,i) - v_gtrans + v_stokes_zu(k) |
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1270 | swap_flux_y_local(k,tn) = v_comp * ( & |
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1271 | 37.0_wp * ( sk(k,j,i) + sk(k,j-1,i) ) & |
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1272 | - 8.0_wp * ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
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1273 | + ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
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1274 | ) * adv_sca_5 |
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1275 | swap_diss_y_local(k,tn) = -ABS( v_comp ) * ( & |
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1276 | 10.0_wp * ( sk(k,j,i) - sk(k,j-1,i) ) & |
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1277 | - 5.0_wp * ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
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1278 | + sk(k,j+2,i) - sk(k,j-3,i) & |
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1279 | ) * adv_sca_5 |
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1280 | |
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1281 | ENDDO |
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1282 | |
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1283 | ENDIF |
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1284 | ! |
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1285 | !-- Compute leftside fluxes of the respective PE bounds. |
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1286 | IF ( i == i_omp ) THEN |
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1287 | |
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1288 | DO k = nzb+1, nzb_max |
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1289 | |
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1290 | ibit2 = IBITS(advc_flags_1(k,j,i-1),2,1) |
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1291 | ibit1 = IBITS(advc_flags_1(k,j,i-1),1,1) |
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1292 | ibit0 = IBITS(advc_flags_1(k,j,i-1),0,1) |
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1293 | |
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1294 | u_comp = u(k,j,i) - u_gtrans + u_stokes_zu(k) |
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1295 | swap_flux_x_local(k,j,tn) = u_comp * ( & |
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1296 | ( 37.0_wp * ibit2 * adv_sca_5 & |
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1297 | + 7.0_wp * ibit1 * adv_sca_3 & |
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1298 | + ibit0 * adv_sca_1 & |
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1299 | ) * & |
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1300 | ( sk(k,j,i) + sk(k,j,i-1) ) & |
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1301 | - ( 8.0_wp * ibit2 * adv_sca_5 & |
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1302 | + ibit1 * adv_sca_3 & |
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1303 | ) * & |
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1304 | ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
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1305 | + ( ibit2 * adv_sca_5 & |
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1306 | ) * & |
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1307 | ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
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1308 | ) |
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1309 | |
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1310 | swap_diss_x_local(k,j,tn) = -ABS( u_comp ) * ( & |
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1311 | ( 10.0_wp * ibit2 * adv_sca_5 & |
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1312 | + 3.0_wp * ibit1 * adv_sca_3 & |
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1313 | + ibit0 * adv_sca_1 & |
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1314 | ) * & |
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1315 | ( sk(k,j,i) - sk(k,j,i-1) ) & |
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1316 | - ( 5.0_wp * ibit2 * adv_sca_5 & |
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1317 | + ibit1 * adv_sca_3 & |
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1318 | ) * & |
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1319 | ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
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1320 | + ( ibit2 * adv_sca_5 & |
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1321 | ) * & |
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1322 | ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
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1323 | ) |
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1324 | |
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1325 | ENDDO |
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1326 | |
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1327 | DO k = nzb_max+1, nzt |
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1328 | |
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1329 | u_comp = u(k,j,i) - u_gtrans + u_stokes_zu(k) |
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1330 | swap_flux_x_local(k,j,tn) = u_comp * ( & |
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1331 | 37.0_wp * ( sk(k,j,i) + sk(k,j,i-1) ) & |
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1332 | - 8.0_wp * ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
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1333 | + ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
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1334 | ) * adv_sca_5 |
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1335 | |
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1336 | swap_diss_x_local(k,j,tn) = -ABS( u_comp ) * ( & |
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1337 | 10.0_wp * ( sk(k,j,i) - sk(k,j,i-1) ) & |
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1338 | - 5.0_wp * ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
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1339 | + ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
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1340 | ) * adv_sca_5 |
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1341 | |
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1342 | ENDDO |
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1343 | |
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1344 | ENDIF |
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1345 | |
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1346 | flux_t(0) = 0.0_wp |
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1347 | diss_t(0) = 0.0_wp |
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1348 | ! |
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1349 | !-- Now compute the fluxes and tendency terms for the horizontal and |
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1350 | !-- vertical parts up to the top of the highest topography. |
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1351 | DO k = nzb+1, nzb_max |
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1352 | ! |
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1353 | !-- Note: It is faster to conduct all multiplications explicitly, e.g. |
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1354 | !-- * adv_sca_5 ... than to determine a factor and multiplicate the |
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1355 | !-- flux at the end. |
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1356 | |
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1357 | ibit2 = IBITS(advc_flags_1(k,j,i),2,1) |
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1358 | ibit1 = IBITS(advc_flags_1(k,j,i),1,1) |
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1359 | ibit0 = IBITS(advc_flags_1(k,j,i),0,1) |
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1360 | |
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1361 | u_comp = u(k,j,i+1) - u_gtrans + u_stokes_zu(k) |
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1362 | flux_r(k) = u_comp * ( & |
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1363 | ( 37.0_wp * ibit2 * adv_sca_5 & |
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1364 | + 7.0_wp * ibit1 * adv_sca_3 & |
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1365 | + ibit0 * adv_sca_1 & |
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1366 | ) * & |
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1367 | ( sk(k,j,i+1) + sk(k,j,i) ) & |
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1368 | - ( 8.0_wp * ibit2 * adv_sca_5 & |
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1369 | + ibit1 * adv_sca_3 & |
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1370 | ) * & |
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1371 | ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
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1372 | + ( ibit2 * adv_sca_5 & |
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1373 | ) * & |
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1374 | ( sk(k,j,i+3) + sk(k,j,i-2) ) & |
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1375 | ) |
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1376 | |
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1377 | diss_r(k) = -ABS( u_comp ) * ( & |
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1378 | ( 10.0_wp * ibit2 * adv_sca_5 & |
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1379 | + 3.0_wp * ibit1 * adv_sca_3 & |
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1380 | + ibit0 * adv_sca_1 & |
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1381 | ) * & |
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1382 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
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1383 | - ( 5.0_wp * ibit2 * adv_sca_5 & |
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1384 | + ibit1 * adv_sca_3 & |
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1385 | ) * & |
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1386 | ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
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1387 | + ( ibit2 * adv_sca_5 & |
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1388 | ) * & |
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1389 | ( sk(k,j,i+3) - sk(k,j,i-2) ) & |
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1390 | ) |
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1391 | |
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1392 | ibit5 = IBITS(advc_flags_1(k,j,i),5,1) |
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1393 | ibit4 = IBITS(advc_flags_1(k,j,i),4,1) |
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1394 | ibit3 = IBITS(advc_flags_1(k,j,i),3,1) |
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1395 | |
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1396 | v_comp = v(k,j+1,i) - v_gtrans + v_stokes_zu(k) |
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1397 | flux_n(k) = v_comp * ( & |
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1398 | ( 37.0_wp * ibit5 * adv_sca_5 & |
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1399 | + 7.0_wp * ibit4 * adv_sca_3 & |
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1400 | + ibit3 * adv_sca_1 & |
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1401 | ) * & |
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1402 | ( sk(k,j+1,i) + sk(k,j,i) ) & |
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1403 | - ( 8.0_wp * ibit5 * adv_sca_5 & |
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1404 | + ibit4 * adv_sca_3 & |
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1405 | ) * & |
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1406 | ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
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1407 | + ( ibit5 * adv_sca_5 & |
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1408 | ) * & |
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1409 | ( sk(k,j+3,i) + sk(k,j-2,i) ) & |
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1410 | ) |
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1411 | |
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1412 | diss_n(k) = -ABS( v_comp ) * ( & |
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1413 | ( 10.0_wp * ibit5 * adv_sca_5 & |
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1414 | + 3.0_wp * ibit4 * adv_sca_3 & |
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1415 | + ibit3 * adv_sca_1 & |
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1416 | ) * & |
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1417 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
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1418 | - ( 5.0_wp * ibit5 * adv_sca_5 & |
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1419 | + ibit4 * adv_sca_3 & |
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1420 | ) * & |
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1421 | ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
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1422 | + ( ibit5 * adv_sca_5 & |
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1423 | ) * & |
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1424 | ( sk(k,j+3,i) - sk(k,j-2,i) ) & |
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1425 | ) |
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1426 | ! |
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1427 | !-- k index has to be modified near bottom and top, else array |
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1428 | !-- subscripts will be exceeded. |
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1429 | ibit8 = IBITS(advc_flags_1(k,j,i),8,1) |
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1430 | ibit7 = IBITS(advc_flags_1(k,j,i),7,1) |
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1431 | ibit6 = IBITS(advc_flags_1(k,j,i),6,1) |
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1432 | |
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1433 | k_ppp = k + 3 * ibit8 |
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1434 | k_pp = k + 2 * ( 1 - ibit6 ) |
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1435 | k_mm = k - 2 * ibit8 |
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1436 | |
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1437 | |
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1438 | flux_t(k) = w(k,j,i) * rho_air_zw(k) * ( & |
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1439 | ( 37.0_wp * ibit8 * adv_sca_5 & |
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1440 | + 7.0_wp * ibit7 * adv_sca_3 & |
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1441 | + ibit6 * adv_sca_1 & |
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1442 | ) * & |
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1443 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
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1444 | - ( 8.0_wp * ibit8 * adv_sca_5 & |
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1445 | + ibit7 * adv_sca_3 & |
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1446 | ) * & |
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1447 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
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1448 | + ( ibit8 * adv_sca_5 & |
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1449 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
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1450 | ) |
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1451 | |
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1452 | diss_t(k) = -ABS( w(k,j,i) ) * rho_air_zw(k) * ( & |
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1453 | ( 10.0_wp * ibit8 * adv_sca_5 & |
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1454 | + 3.0_wp * ibit7 * adv_sca_3 & |
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1455 | + ibit6 * adv_sca_1 & |
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1456 | ) * & |
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1457 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
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1458 | - ( 5.0_wp * ibit8 * adv_sca_5 & |
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1459 | + ibit7 * adv_sca_3 & |
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1460 | ) * & |
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1461 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
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1462 | + ( ibit8 * adv_sca_5 & |
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1463 | ) * & |
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1464 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
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1465 | ) |
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1466 | ENDDO |
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1467 | |
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1468 | DO k = nzb+1, nzb_max |
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1469 | |
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1470 | flux_d = flux_t(k-1) |
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1471 | diss_d = diss_t(k-1) |
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1472 | ! |
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1473 | !-- Calculate the divergence of the velocity field. A respective |
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1474 | !-- correction is needed to overcome numerical instabilities caused |
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1475 | !-- by a not sufficient reduction of divergences near topography. |
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1476 | div = ( u(k,j,i+1) * ( ibit0 + ibit1 + ibit2 ) & |
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1477 | - u(k,j,i) * ( IBITS(advc_flags_1(k,j,i-1),0,1) & |
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1478 | + IBITS(advc_flags_1(k,j,i-1),1,1) & |
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1479 | + IBITS(advc_flags_1(k,j,i-1),2,1) & |
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1480 | ) & |
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1481 | ) * ddx & |
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1482 | + ( v(k,j+1,i) * ( ibit3 + ibit4 + ibit5 ) & |
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1483 | - v(k,j,i) * ( IBITS(advc_flags_1(k,j-1,i),3,1) & |
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1484 | + IBITS(advc_flags_1(k,j-1,i),4,1) & |
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1485 | + IBITS(advc_flags_1(k,j-1,i),5,1) & |
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1486 | ) & |
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1487 | ) * ddy & |
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1488 | + ( w(k,j,i) * rho_air_zw(k) * & |
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1489 | ( ibit6 + ibit7 + ibit8 ) & |
---|
1490 | - w(k-1,j,i) * rho_air_zw(k-1) * & |
---|
1491 | ( IBITS(advc_flags_1(k-1,j,i),6,1) & |
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1492 | + IBITS(advc_flags_1(k-1,j,i),7,1) & |
---|
1493 | + IBITS(advc_flags_1(k-1,j,i),8,1) & |
---|
1494 | ) & |
---|
1495 | ) * drho_air(k) * ddzw(k) |
---|
1496 | |
---|
1497 | |
---|
1498 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
1499 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j,tn) - & |
---|
1500 | swap_diss_x_local(k,j,tn) ) * ddx & |
---|
1501 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k,tn) - & |
---|
1502 | swap_diss_y_local(k,tn) ) * ddy & |
---|
1503 | + ( ( flux_t(k) + diss_t(k) ) - & |
---|
1504 | ( flux_d + diss_d ) & |
---|
1505 | ) * drho_air(k) * ddzw(k) & |
---|
1506 | ) + sk(k,j,i) * div |
---|
1507 | |
---|
1508 | swap_flux_y_local(k,tn) = flux_n(k) |
---|
1509 | swap_diss_y_local(k,tn) = diss_n(k) |
---|
1510 | swap_flux_x_local(k,j,tn) = flux_r(k) |
---|
1511 | swap_diss_x_local(k,j,tn) = diss_r(k) |
---|
1512 | |
---|
1513 | ENDDO |
---|
1514 | ! |
---|
1515 | !-- Now compute the fluxes and tendency terms for the horizontal and |
---|
1516 | !-- vertical parts above the top of the highest topography. No degradation |
---|
1517 | !-- for the horizontal parts, but for the vertical it is stell needed. |
---|
1518 | DO k = nzb_max+1, nzt |
---|
1519 | |
---|
1520 | u_comp = u(k,j,i+1) - u_gtrans + u_stokes_zu(k) |
---|
1521 | flux_r(k) = u_comp * ( & |
---|
1522 | 37.0_wp * ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
1523 | - 8.0_wp * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
---|
1524 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) * adv_sca_5 |
---|
1525 | diss_r(k) = -ABS( u_comp ) * ( & |
---|
1526 | 10.0_wp * ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
1527 | - 5.0_wp * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
---|
1528 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) * adv_sca_5 |
---|
1529 | |
---|
1530 | v_comp = v(k,j+1,i) - v_gtrans + v_stokes_zu(k) |
---|
1531 | flux_n(k) = v_comp * ( & |
---|
1532 | 37.0_wp * ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
1533 | - 8.0_wp * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
---|
1534 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) * adv_sca_5 |
---|
1535 | diss_n(k) = -ABS( v_comp ) * ( & |
---|
1536 | 10.0_wp * ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
1537 | - 5.0_wp * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
---|
1538 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) * adv_sca_5 |
---|
1539 | ! |
---|
1540 | !-- k index has to be modified near bottom and top, else array |
---|
1541 | !-- subscripts will be exceeded. |
---|
1542 | ibit8 = IBITS(advc_flags_1(k,j,i),8,1) |
---|
1543 | ibit7 = IBITS(advc_flags_1(k,j,i),7,1) |
---|
1544 | ibit6 = IBITS(advc_flags_1(k,j,i),6,1) |
---|
1545 | |
---|
1546 | k_ppp = k + 3 * ibit8 |
---|
1547 | k_pp = k + 2 * ( 1 - ibit6 ) |
---|
1548 | k_mm = k - 2 * ibit8 |
---|
1549 | |
---|
1550 | flux_t(k) = w(k,j,i) * rho_air_zw(k) * ( & |
---|
1551 | ( 37.0_wp * ibit8 * adv_sca_5 & |
---|
1552 | + 7.0_wp * ibit7 * adv_sca_3 & |
---|
1553 | + ibit6 * adv_sca_1 & |
---|
1554 | ) * & |
---|
1555 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
---|
1556 | - ( 8.0_wp * ibit8 * adv_sca_5 & |
---|
1557 | + ibit7 * adv_sca_3 & |
---|
1558 | ) * & |
---|
1559 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
---|
1560 | + ( ibit8 * adv_sca_5 & |
---|
1561 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
---|
1562 | ) |
---|
1563 | |
---|
1564 | diss_t(k) = -ABS( w(k,j,i) ) * rho_air_zw(k) * ( & |
---|
1565 | ( 10.0_wp * ibit8 * adv_sca_5 & |
---|
1566 | + 3.0_wp * ibit7 * adv_sca_3 & |
---|
1567 | + ibit6 * adv_sca_1 & |
---|
1568 | ) * & |
---|
1569 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
---|
1570 | - ( 5.0_wp * ibit8 * adv_sca_5 & |
---|
1571 | + ibit7 * adv_sca_3 & |
---|
1572 | ) * & |
---|
1573 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
---|
1574 | + ( ibit8 * adv_sca_5 & |
---|
1575 | ) * & |
---|
1576 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
---|
1577 | ) |
---|
1578 | |
---|
1579 | ENDDO |
---|
1580 | |
---|
1581 | DO k = nzb_max+1, nzt |
---|
1582 | |
---|
1583 | flux_d = flux_t(k-1) |
---|
1584 | diss_d = diss_t(k-1) |
---|
1585 | |
---|
1586 | ! |
---|
1587 | !-- Calculate the divergence of the velocity field. A respective |
---|
1588 | !-- correction is needed to overcome numerical instabilities introduced |
---|
1589 | !-- by a not sufficient reduction of divergences near topography. |
---|
1590 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
---|
1591 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
---|
1592 | + ( w(k,j,i) * rho_air_zw(k) - & |
---|
1593 | w(k-1,j,i) * rho_air_zw(k-1) & |
---|
1594 | ) * drho_air(k) * ddzw(k) |
---|
1595 | |
---|
1596 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
1597 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j,tn) - & |
---|
1598 | swap_diss_x_local(k,j,tn) ) * ddx & |
---|
1599 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k,tn) - & |
---|
1600 | swap_diss_y_local(k,tn) ) * ddy & |
---|
1601 | + ( ( flux_t(k) + diss_t(k) ) - & |
---|
1602 | ( flux_d + diss_d ) & |
---|
1603 | ) * drho_air(k) * ddzw(k) & |
---|
1604 | ) + sk(k,j,i) * div |
---|
1605 | |
---|
1606 | |
---|
1607 | swap_flux_y_local(k,tn) = flux_n(k) |
---|
1608 | swap_diss_y_local(k,tn) = diss_n(k) |
---|
1609 | swap_flux_x_local(k,j,tn) = flux_r(k) |
---|
1610 | swap_diss_x_local(k,j,tn) = diss_r(k) |
---|
1611 | |
---|
1612 | ENDDO |
---|
1613 | |
---|
1614 | ! |
---|
1615 | !-- Evaluation of statistics. |
---|
1616 | SELECT CASE ( sk_char ) |
---|
1617 | |
---|
1618 | CASE ( 'pt' ) |
---|
1619 | |
---|
1620 | DO k = nzb, nzt |
---|
1621 | sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) + & |
---|
1622 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
1623 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1624 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
1625 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1626 | ) * weight_substep(intermediate_timestep_count) |
---|
1627 | ENDDO |
---|
1628 | |
---|
1629 | CASE ( 'sa' ) |
---|
1630 | |
---|
1631 | DO k = nzb, nzt |
---|
1632 | sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) + & |
---|
1633 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
1634 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1635 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
1636 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1637 | ) * weight_substep(intermediate_timestep_count) |
---|
1638 | ENDDO |
---|
1639 | |
---|
1640 | CASE ( 'q' ) |
---|
1641 | |
---|
1642 | DO k = nzb, nzt |
---|
1643 | sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) + & |
---|
1644 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
1645 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1646 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
1647 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1648 | ) * weight_substep(intermediate_timestep_count) |
---|
1649 | ENDDO |
---|
1650 | |
---|
1651 | CASE ( 'qc' ) |
---|
1652 | |
---|
1653 | DO k = nzb, nzt |
---|
1654 | sums_wsqcs_ws_l(k,tn) = sums_wsqcs_ws_l(k,tn) + & |
---|
1655 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
1656 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1657 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
1658 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1659 | ) * weight_substep(intermediate_timestep_count) |
---|
1660 | ENDDO |
---|
1661 | |
---|
1662 | |
---|
1663 | CASE ( 'qr' ) |
---|
1664 | |
---|
1665 | DO k = nzb, nzt |
---|
1666 | sums_wsqrs_ws_l(k,tn) = sums_wsqrs_ws_l(k,tn) + & |
---|
1667 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
1668 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1669 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
1670 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1671 | ) * weight_substep(intermediate_timestep_count) |
---|
1672 | ENDDO |
---|
1673 | |
---|
1674 | CASE ( 'nc' ) |
---|
1675 | |
---|
1676 | DO k = nzb, nzt |
---|
1677 | sums_wsncs_ws_l(k,tn) = sums_wsncs_ws_l(k,tn) + & |
---|
1678 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
1679 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1680 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
1681 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1682 | ) * weight_substep(intermediate_timestep_count) |
---|
1683 | ENDDO |
---|
1684 | |
---|
1685 | CASE ( 'nr' ) |
---|
1686 | |
---|
1687 | DO k = nzb, nzt |
---|
1688 | sums_wsnrs_ws_l(k,tn) = sums_wsnrs_ws_l(k,tn) + & |
---|
1689 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
1690 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1691 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
1692 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1693 | ) * weight_substep(intermediate_timestep_count) |
---|
1694 | ENDDO |
---|
1695 | |
---|
1696 | CASE ( 's' ) |
---|
1697 | |
---|
1698 | DO k = nzb, nzt |
---|
1699 | sums_wsss_ws_l(k,tn) = sums_wsss_ws_l(k,tn) + & |
---|
1700 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
1701 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1702 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
1703 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
---|
1704 | ) * weight_substep(intermediate_timestep_count) |
---|
1705 | ENDDO |
---|
1706 | |
---|
1707 | ! CASE ( 'kc' ) |
---|
1708 | !kk Has to be implemented for kpp chemistry |
---|
1709 | |
---|
1710 | |
---|
1711 | END SELECT |
---|
1712 | |
---|
1713 | END SUBROUTINE advec_s_ws_ij |
---|
1714 | |
---|
1715 | |
---|
1716 | |
---|
1717 | |
---|
1718 | !------------------------------------------------------------------------------! |
---|
1719 | ! Description: |
---|
1720 | ! ------------ |
---|
1721 | !> Advection of u-component - Call for grid point i,j |
---|
1722 | !------------------------------------------------------------------------------! |
---|
1723 | SUBROUTINE advec_u_ws_ij( i, j, i_omp, tn ) |
---|
1724 | |
---|
1725 | USE arrays_3d, & |
---|
1726 | ONLY: ddzw, diss_l_u, diss_s_u, flux_l_u, flux_s_u, tend, u, v, w,& |
---|
1727 | drho_air, rho_air_zw |
---|
1728 | |
---|
1729 | USE control_parameters, & |
---|
1730 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
---|
1731 | |
---|
1732 | USE grid_variables, & |
---|
1733 | ONLY: ddx, ddy |
---|
1734 | |
---|
1735 | USE indices, & |
---|
1736 | ONLY: nxlu, nys, nzb, nzb_max, nzt, advc_flags_1 |
---|
1737 | |
---|
1738 | USE kinds |
---|
1739 | |
---|
1740 | USE statistics, & |
---|
1741 | ONLY: hom, sums_us2_ws_l, sums_wsus_ws_l, weight_substep |
---|
1742 | |
---|
1743 | IMPLICIT NONE |
---|
1744 | |
---|
1745 | INTEGER(iwp) :: i !< |
---|
1746 | INTEGER(iwp) :: ibit9 !< |
---|
1747 | INTEGER(iwp) :: ibit10 !< |
---|
1748 | INTEGER(iwp) :: ibit11 !< |
---|
1749 | INTEGER(iwp) :: ibit12 !< |
---|
1750 | INTEGER(iwp) :: ibit13 !< |
---|
1751 | INTEGER(iwp) :: ibit14 !< |
---|
1752 | INTEGER(iwp) :: ibit15 !< |
---|
1753 | INTEGER(iwp) :: ibit16 !< |
---|
1754 | INTEGER(iwp) :: ibit17 !< |
---|
1755 | INTEGER(iwp) :: i_omp !< |
---|
1756 | INTEGER(iwp) :: j !< |
---|
1757 | INTEGER(iwp) :: k !< |
---|
1758 | INTEGER(iwp) :: k_mm !< |
---|
1759 | INTEGER(iwp) :: k_pp !< |
---|
1760 | INTEGER(iwp) :: k_ppp !< |
---|
1761 | INTEGER(iwp) :: tn !< |
---|
1762 | |
---|
1763 | REAL(wp) :: diss_d !< |
---|
1764 | REAL(wp) :: div !< |
---|
1765 | REAL(wp) :: flux_d !< |
---|
1766 | REAL(wp) :: gu !< |
---|
1767 | REAL(wp) :: gv !< |
---|
1768 | REAL(wp) :: u_comp_l !< |
---|
1769 | |
---|
1770 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_n !< |
---|
1771 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_r !< |
---|
1772 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_t !< |
---|
1773 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_n !< |
---|
1774 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_r !< |
---|
1775 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_t !< |
---|
1776 | REAL(wp), DIMENSION(nzb:nzt+1) :: u_comp !< |
---|
1777 | REAL(wp), DIMENSION(nzb:nzt+1) :: v_comp !< |
---|
1778 | REAL(wp), DIMENSION(nzb:nzt+1) :: w_comp !< |
---|
1779 | |
---|
1780 | gu = 2.0_wp * u_gtrans |
---|
1781 | gv = 2.0_wp * v_gtrans |
---|
1782 | ! |
---|
1783 | !-- Compute southside fluxes for the respective boundary of PE |
---|
1784 | IF ( j == nys ) THEN |
---|
1785 | |
---|
1786 | DO k = nzb+1, nzb_max |
---|
1787 | |
---|
1788 | ibit14 = IBITS(advc_flags_1(k,j-1,i),14,1) |
---|
1789 | ibit13 = IBITS(advc_flags_1(k,j-1,i),13,1) |
---|
1790 | ibit12 = IBITS(advc_flags_1(k,j-1,i),12,1) |
---|
1791 | |
---|
1792 | v_comp(k) = v(k,j,i) + v(k,j,i-1) - gv |
---|
1793 | flux_s_u(k,tn) = v_comp(k) * ( & |
---|
1794 | ( 37.0_wp * ibit14 * adv_mom_5 & |
---|
1795 | + 7.0_wp * ibit13 * adv_mom_3 & |
---|
1796 | + ibit12 * adv_mom_1 & |
---|
1797 | ) * & |
---|
1798 | ( u(k,j,i) + u(k,j-1,i) ) & |
---|
1799 | - ( 8.0_wp * ibit14 * adv_mom_5 & |
---|
1800 | + ibit13 * adv_mom_3 & |
---|
1801 | ) * & |
---|
1802 | ( u(k,j+1,i) + u(k,j-2,i) ) & |
---|
1803 | + ( ibit14 * adv_mom_5 & |
---|
1804 | ) * & |
---|
1805 | ( u(k,j+2,i) + u(k,j-3,i) ) & |
---|
1806 | ) |
---|
1807 | |
---|
1808 | diss_s_u(k,tn) = - ABS ( v_comp(k) ) * ( & |
---|
1809 | ( 10.0_wp * ibit14 * adv_mom_5 & |
---|
1810 | + 3.0_wp * ibit13 * adv_mom_3 & |
---|
1811 | + ibit12 * adv_mom_1 & |
---|
1812 | ) * & |
---|
1813 | ( u(k,j,i) - u(k,j-1,i) ) & |
---|
1814 | - ( 5.0_wp * ibit14 * adv_mom_5 & |
---|
1815 | + ibit13 * adv_mom_3 & |
---|
1816 | ) * & |
---|
1817 | ( u(k,j+1,i) - u(k,j-2,i) ) & |
---|
1818 | + ( ibit14 * adv_mom_5 & |
---|
1819 | ) * & |
---|
1820 | ( u(k,j+2,i) - u(k,j-3,i) ) & |
---|
1821 | ) |
---|
1822 | |
---|
1823 | ENDDO |
---|
1824 | |
---|
1825 | DO k = nzb_max+1, nzt |
---|
1826 | |
---|
1827 | v_comp(k) = v(k,j,i) + v(k,j,i-1) - gv |
---|
1828 | flux_s_u(k,tn) = v_comp(k) * ( & |
---|
1829 | 37.0_wp * ( u(k,j,i) + u(k,j-1,i) ) & |
---|
1830 | - 8.0_wp * ( u(k,j+1,i) + u(k,j-2,i) ) & |
---|
1831 | + ( u(k,j+2,i) + u(k,j-3,i) ) ) * adv_mom_5 |
---|
1832 | diss_s_u(k,tn) = - ABS(v_comp(k)) * ( & |
---|
1833 | 10.0_wp * ( u(k,j,i) - u(k,j-1,i) ) & |
---|
1834 | - 5.0_wp * ( u(k,j+1,i) - u(k,j-2,i) ) & |
---|
1835 | + ( u(k,j+2,i) - u(k,j-3,i) ) ) * adv_mom_5 |
---|
1836 | |
---|
1837 | ENDDO |
---|
1838 | |
---|
1839 | ENDIF |
---|
1840 | ! |
---|
1841 | !-- Compute leftside fluxes for the respective boundary of PE |
---|
1842 | IF ( i == i_omp .OR. i == nxlu ) THEN |
---|
1843 | |
---|
1844 | DO k = nzb+1, nzb_max |
---|
1845 | |
---|
1846 | ibit11 = IBITS(advc_flags_1(k,j,i-1),11,1) |
---|
1847 | ibit10 = IBITS(advc_flags_1(k,j,i-1),10,1) |
---|
1848 | ibit9 = IBITS(advc_flags_1(k,j,i-1),9,1) |
---|
1849 | |
---|
1850 | u_comp_l = u(k,j,i) + u(k,j,i-1) - gu |
---|
1851 | flux_l_u(k,j,tn) = u_comp_l * ( & |
---|
1852 | ( 37.0_wp * ibit11 * adv_mom_5 & |
---|
1853 | + 7.0_wp * ibit10 * adv_mom_3 & |
---|
1854 | + ibit9 * adv_mom_1 & |
---|
1855 | ) * & |
---|
1856 | ( u(k,j,i) + u(k,j,i-1) ) & |
---|
1857 | - ( 8.0_wp * ibit11 * adv_mom_5 & |
---|
1858 | + ibit10 * adv_mom_3 & |
---|
1859 | ) * & |
---|
1860 | ( u(k,j,i+1) + u(k,j,i-2) ) & |
---|
1861 | + ( ibit11 * adv_mom_5 & |
---|
1862 | ) * & |
---|
1863 | ( u(k,j,i+2) + u(k,j,i-3) ) & |
---|
1864 | ) |
---|
1865 | |
---|
1866 | diss_l_u(k,j,tn) = - ABS( u_comp_l ) * ( & |
---|
1867 | ( 10.0_wp * ibit11 * adv_mom_5 & |
---|
1868 | + 3.0_wp * ibit10 * adv_mom_3 & |
---|
1869 | + ibit9 * adv_mom_1 & |
---|
1870 | ) * & |
---|
1871 | ( u(k,j,i) - u(k,j,i-1) ) & |
---|
1872 | - ( 5.0_wp * ibit11 * adv_mom_5 & |
---|
1873 | + ibit10 * adv_mom_3 & |
---|
1874 | ) * & |
---|
1875 | ( u(k,j,i+1) - u(k,j,i-2) ) & |
---|
1876 | + ( ibit11 * adv_mom_5 & |
---|
1877 | ) * & |
---|
1878 | ( u(k,j,i+2) - u(k,j,i-3) ) & |
---|
1879 | ) |
---|
1880 | |
---|
1881 | ENDDO |
---|
1882 | |
---|
1883 | DO k = nzb_max+1, nzt |
---|
1884 | |
---|
1885 | u_comp_l = u(k,j,i) + u(k,j,i-1) - gu |
---|
1886 | flux_l_u(k,j,tn) = u_comp_l * ( & |
---|
1887 | 37.0_wp * ( u(k,j,i) + u(k,j,i-1) ) & |
---|
1888 | - 8.0_wp * ( u(k,j,i+1) + u(k,j,i-2) ) & |
---|
1889 | + ( u(k,j,i+2) + u(k,j,i-3) ) ) * adv_mom_5 |
---|
1890 | diss_l_u(k,j,tn) = - ABS(u_comp_l) * ( & |
---|
1891 | 10.0_wp * ( u(k,j,i) - u(k,j,i-1) ) & |
---|
1892 | - 5.0_wp * ( u(k,j,i+1) - u(k,j,i-2) ) & |
---|
1893 | + ( u(k,j,i+2) - u(k,j,i-3) ) ) * adv_mom_5 |
---|
1894 | |
---|
1895 | ENDDO |
---|
1896 | |
---|
1897 | ENDIF |
---|
1898 | |
---|
1899 | flux_t(0) = 0.0_wp |
---|
1900 | diss_t(0) = 0.0_wp |
---|
1901 | w_comp(0) = 0.0_wp |
---|
1902 | ! |
---|
1903 | !-- Now compute the fluxes tendency terms for the horizontal and |
---|
1904 | !-- vertical parts. |
---|
1905 | DO k = nzb+1, nzb_max |
---|
1906 | |
---|
1907 | ibit11 = IBITS(advc_flags_1(k,j,i),11,1) |
---|
1908 | ibit10 = IBITS(advc_flags_1(k,j,i),10,1) |
---|
1909 | ibit9 = IBITS(advc_flags_1(k,j,i),9,1) |
---|
1910 | |
---|
1911 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
1912 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
1913 | ( 37.0_wp * ibit11 * adv_mom_5 & |
---|
1914 | + 7.0_wp * ibit10 * adv_mom_3 & |
---|
1915 | + ibit9 * adv_mom_1 & |
---|
1916 | ) * & |
---|
1917 | ( u(k,j,i+1) + u(k,j,i) ) & |
---|
1918 | - ( 8.0_wp * ibit11 * adv_mom_5 & |
---|
1919 | + ibit10 * adv_mom_3 & |
---|
1920 | ) * & |
---|
1921 | ( u(k,j,i+2) + u(k,j,i-1) ) & |
---|
1922 | + ( ibit11 * adv_mom_5 & |
---|
1923 | ) * & |
---|
1924 | ( u(k,j,i+3) + u(k,j,i-2) ) & |
---|
1925 | ) |
---|
1926 | |
---|
1927 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
1928 | ( 10.0_wp * ibit11 * adv_mom_5 & |
---|
1929 | + 3.0_wp * ibit10 * adv_mom_3 & |
---|
1930 | + ibit9 * adv_mom_1 & |
---|
1931 | ) * & |
---|
1932 | ( u(k,j,i+1) - u(k,j,i) ) & |
---|
1933 | - ( 5.0_wp * ibit11 * adv_mom_5 & |
---|
1934 | + ibit10 * adv_mom_3 & |
---|
1935 | ) * & |
---|
1936 | ( u(k,j,i+2) - u(k,j,i-1) ) & |
---|
1937 | + ( ibit11 * adv_mom_5 & |
---|
1938 | ) * & |
---|
1939 | ( u(k,j,i+3) - u(k,j,i-2) ) & |
---|
1940 | ) |
---|
1941 | |
---|
1942 | ibit14 = IBITS(advc_flags_1(k,j,i),14,1) |
---|
1943 | ibit13 = IBITS(advc_flags_1(k,j,i),13,1) |
---|
1944 | ibit12 = IBITS(advc_flags_1(k,j,i),12,1) |
---|
1945 | |
---|
1946 | v_comp(k) = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
1947 | flux_n(k) = v_comp(k) * ( & |
---|
1948 | ( 37.0_wp * ibit14 * adv_mom_5 & |
---|
1949 | + 7.0_wp * ibit13 * adv_mom_3 & |
---|
1950 | + ibit12 * adv_mom_1 & |
---|
1951 | ) * & |
---|
1952 | ( u(k,j+1,i) + u(k,j,i) ) & |
---|
1953 | - ( 8.0_wp * ibit14 * adv_mom_5 & |
---|
1954 | + ibit13 * adv_mom_3 & |
---|
1955 | ) * & |
---|
1956 | ( u(k,j+2,i) + u(k,j-1,i) ) & |
---|
1957 | + ( ibit14 * adv_mom_5 & |
---|
1958 | ) * & |
---|
1959 | ( u(k,j+3,i) + u(k,j-2,i) ) & |
---|
1960 | ) |
---|
1961 | |
---|
1962 | diss_n(k) = - ABS ( v_comp(k) ) * ( & |
---|
1963 | ( 10.0_wp * ibit14 * adv_mom_5 & |
---|
1964 | + 3.0_wp * ibit13 * adv_mom_3 & |
---|
1965 | + ibit12 * adv_mom_1 & |
---|
1966 | ) * & |
---|
1967 | ( u(k,j+1,i) - u(k,j,i) ) & |
---|
1968 | - ( 5.0_wp * ibit14 * adv_mom_5 & |
---|
1969 | + ibit13 * adv_mom_3 & |
---|
1970 | ) * & |
---|
1971 | ( u(k,j+2,i) - u(k,j-1,i) ) & |
---|
1972 | + ( ibit14 * adv_mom_5 & |
---|
1973 | ) * & |
---|
1974 | ( u(k,j+3,i) - u(k,j-2,i) ) & |
---|
1975 | ) |
---|
1976 | ! |
---|
1977 | !-- k index has to be modified near bottom and top, else array |
---|
1978 | !-- subscripts will be exceeded. |
---|
1979 | ibit17 = IBITS(advc_flags_1(k,j,i),17,1) |
---|
1980 | ibit16 = IBITS(advc_flags_1(k,j,i),16,1) |
---|
1981 | ibit15 = IBITS(advc_flags_1(k,j,i),15,1) |
---|
1982 | |
---|
1983 | k_ppp = k + 3 * ibit17 |
---|
1984 | k_pp = k + 2 * ( 1 - ibit15 ) |
---|
1985 | k_mm = k - 2 * ibit17 |
---|
1986 | |
---|
1987 | w_comp(k) = w(k,j,i) + w(k,j,i-1) |
---|
1988 | flux_t(k) = w_comp(k) * rho_air_zw(k) * ( & |
---|
1989 | ( 37.0_wp * ibit17 * adv_mom_5 & |
---|
1990 | + 7.0_wp * ibit16 * adv_mom_3 & |
---|
1991 | + ibit15 * adv_mom_1 & |
---|
1992 | ) * & |
---|
1993 | ( u(k+1,j,i) + u(k,j,i) ) & |
---|
1994 | - ( 8.0_wp * ibit17 * adv_mom_5 & |
---|
1995 | + ibit16 * adv_mom_3 & |
---|
1996 | ) * & |
---|
1997 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
---|
1998 | + ( ibit17 * adv_mom_5 & |
---|
1999 | ) * & |
---|
2000 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
---|
2001 | ) |
---|
2002 | |
---|
2003 | diss_t(k) = - ABS( w_comp(k) ) * rho_air_zw(k) * ( & |
---|
2004 | ( 10.0_wp * ibit17 * adv_mom_5 & |
---|
2005 | + 3.0_wp * ibit16 * adv_mom_3 & |
---|
2006 | + ibit15 * adv_mom_1 & |
---|
2007 | ) * & |
---|
2008 | ( u(k+1,j,i) - u(k,j,i) ) & |
---|
2009 | - ( 5.0_wp * ibit17 * adv_mom_5 & |
---|
2010 | + ibit16 * adv_mom_3 & |
---|
2011 | ) * & |
---|
2012 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
---|
2013 | + ( ibit17 * adv_mom_5 & |
---|
2014 | ) * & |
---|
2015 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
---|
2016 | ) |
---|
2017 | ENDDO |
---|
2018 | |
---|
2019 | DO k = nzb+1, nzb_max |
---|
2020 | |
---|
2021 | flux_d = flux_t(k-1) |
---|
2022 | diss_d = diss_t(k-1) |
---|
2023 | ! |
---|
2024 | !-- Calculate the divergence of the velocity field. A respective |
---|
2025 | !-- correction is needed to overcome numerical instabilities introduced |
---|
2026 | !-- by a not sufficient reduction of divergences near topography. |
---|
2027 | div = ( ( u_comp(k) * ( ibit9 + ibit10 + ibit11 ) & |
---|
2028 | - ( u(k,j,i) + u(k,j,i-1) ) & |
---|
2029 | * ( IBITS(advc_flags_1(k,j,i-1),9,1) & |
---|
2030 | + IBITS(advc_flags_1(k,j,i-1),10,1) & |
---|
2031 | + IBITS(advc_flags_1(k,j,i-1),11,1) & |
---|
2032 | ) & |
---|
2033 | ) * ddx & |
---|
2034 | + ( ( v_comp(k) + gv ) * ( ibit12 + ibit13 + ibit14 ) & |
---|
2035 | - ( v(k,j,i) + v(k,j,i-1 ) ) & |
---|
2036 | * ( IBITS(advc_flags_1(k,j-1,i),12,1) & |
---|
2037 | + IBITS(advc_flags_1(k,j-1,i),13,1) & |
---|
2038 | + IBITS(advc_flags_1(k,j-1,i),14,1) & |
---|
2039 | ) & |
---|
2040 | ) * ddy & |
---|
2041 | + ( w_comp(k) * rho_air_zw(k) * ( ibit15 + ibit16 + ibit17 )& |
---|
2042 | - w_comp(k-1) * rho_air_zw(k-1) & |
---|
2043 | * ( IBITS(advc_flags_1(k-1,j,i),15,1) & |
---|
2044 | + IBITS(advc_flags_1(k-1,j,i),16,1) & |
---|
2045 | + IBITS(advc_flags_1(k-1,j,i),17,1) & |
---|
2046 | ) & |
---|
2047 | ) * drho_air(k) * ddzw(k) & |
---|
2048 | ) * 0.5_wp |
---|
2049 | |
---|
2050 | |
---|
2051 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
2052 | ( flux_r(k) + diss_r(k) & |
---|
2053 | - flux_l_u(k,j,tn) - diss_l_u(k,j,tn) ) * ddx & |
---|
2054 | + ( flux_n(k) + diss_n(k) & |
---|
2055 | - flux_s_u(k,tn) - diss_s_u(k,tn) ) * ddy & |
---|
2056 | + ( ( flux_t(k) + diss_t(k) ) & |
---|
2057 | - ( flux_d + diss_d ) & |
---|
2058 | ) * drho_air(k) * ddzw(k) & |
---|
2059 | ) + div * u(k,j,i) |
---|
2060 | |
---|
2061 | flux_l_u(k,j,tn) = flux_r(k) |
---|
2062 | diss_l_u(k,j,tn) = diss_r(k) |
---|
2063 | flux_s_u(k,tn) = flux_n(k) |
---|
2064 | diss_s_u(k,tn) = diss_n(k) |
---|
2065 | ! |
---|
2066 | !-- Statistical Evaluation of u'u'. The factor has to be applied for |
---|
2067 | !-- right evaluation when gallilei_trans = .T. . |
---|
2068 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
---|
2069 | + ( flux_r(k) & |
---|
2070 | * ( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
---|
2071 | / ( u_comp(k) - gu + SIGN( 1.0E-20_wp, u_comp(k) - gu ) ) & |
---|
2072 | + diss_r(k) & |
---|
2073 | * ABS( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
---|
2074 | / ( ABS( u_comp(k) - gu ) + 1.0E-20_wp ) & |
---|
2075 | ) * weight_substep(intermediate_timestep_count) |
---|
2076 | ! |
---|
2077 | !-- Statistical Evaluation of w'u'. |
---|
2078 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
---|
2079 | + ( flux_t(k) & |
---|
2080 | * ( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
---|
2081 | / ( w_comp(k) + SIGN( 1.0E-20_wp, w_comp(k) ) ) & |
---|
2082 | + diss_t(k) & |
---|
2083 | * ABS( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
---|
2084 | / ( ABS( w_comp(k) ) + 1.0E-20_wp ) & |
---|
2085 | ) * weight_substep(intermediate_timestep_count) |
---|
2086 | ENDDO |
---|
2087 | |
---|
2088 | DO k = nzb_max+1, nzt |
---|
2089 | |
---|
2090 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
2091 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
2092 | 37.0_wp * ( u(k,j,i+1) + u(k,j,i) ) & |
---|
2093 | - 8.0_wp * ( u(k,j,i+2) + u(k,j,i-1) ) & |
---|
2094 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) * adv_mom_5 |
---|
2095 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
2096 | 10.0_wp * ( u(k,j,i+1) - u(k,j,i) ) & |
---|
2097 | - 5.0_wp * ( u(k,j,i+2) - u(k,j,i-1) ) & |
---|
2098 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
---|
2099 | |
---|
2100 | v_comp(k) = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
2101 | flux_n(k) = v_comp(k) * ( & |
---|
2102 | 37.0_wp * ( u(k,j+1,i) + u(k,j,i) ) & |
---|
2103 | - 8.0_wp * ( u(k,j+2,i) + u(k,j-1,i) ) & |
---|
2104 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
---|
2105 | diss_n(k) = - ABS( v_comp(k) ) * ( & |
---|
2106 | 10.0_wp * ( u(k,j+1,i) - u(k,j,i) ) & |
---|
2107 | - 5.0_wp * ( u(k,j+2,i) - u(k,j-1,i) ) & |
---|
2108 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
---|
2109 | ! |
---|
2110 | !-- k index has to be modified near bottom and top, else array |
---|
2111 | !-- subscripts will be exceeded. |
---|
2112 | ibit17 = IBITS(advc_flags_1(k,j,i),17,1) |
---|
2113 | ibit16 = IBITS(advc_flags_1(k,j,i),16,1) |
---|
2114 | ibit15 = IBITS(advc_flags_1(k,j,i),15,1) |
---|
2115 | |
---|
2116 | k_ppp = k + 3 * ibit17 |
---|
2117 | k_pp = k + 2 * ( 1 - ibit15 ) |
---|
2118 | k_mm = k - 2 * ibit17 |
---|
2119 | |
---|
2120 | w_comp(k) = w(k,j,i) + w(k,j,i-1) |
---|
2121 | flux_t(k) = w_comp(k) * rho_air_zw(k) * ( & |
---|
2122 | ( 37.0_wp * ibit17 * adv_mom_5 & |
---|
2123 | + 7.0_wp * ibit16 * adv_mom_3 & |
---|
2124 | + ibit15 * adv_mom_1 & |
---|
2125 | ) * & |
---|
2126 | ( u(k+1,j,i) + u(k,j,i) ) & |
---|
2127 | - ( 8.0_wp * ibit17 * adv_mom_5 & |
---|
2128 | + ibit16 * adv_mom_3 & |
---|
2129 | ) * & |
---|
2130 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
---|
2131 | + ( ibit17 * adv_mom_5 & |
---|
2132 | ) * & |
---|
2133 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
---|
2134 | ) |
---|
2135 | |
---|
2136 | diss_t(k) = - ABS( w_comp(k) ) * rho_air_zw(k) * ( & |
---|
2137 | ( 10.0_wp * ibit17 * adv_mom_5 & |
---|
2138 | + 3.0_wp * ibit16 * adv_mom_3 & |
---|
2139 | + ibit15 * adv_mom_1 & |
---|
2140 | ) * & |
---|
2141 | ( u(k+1,j,i) - u(k,j,i) ) & |
---|
2142 | - ( 5.0_wp * ibit17 * adv_mom_5 & |
---|
2143 | + ibit16 * adv_mom_3 & |
---|
2144 | ) * & |
---|
2145 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
---|
2146 | + ( ibit17 * adv_mom_5 & |
---|
2147 | ) * & |
---|
2148 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
---|
2149 | ) |
---|
2150 | |
---|
2151 | ENDDO |
---|
2152 | |
---|
2153 | DO k = nzb_max+1, nzt |
---|
2154 | |
---|
2155 | flux_d = flux_t(k-1) |
---|
2156 | diss_d = diss_t(k-1) |
---|
2157 | ! |
---|
2158 | !-- Calculate the divergence of the velocity field. A respective |
---|
2159 | !-- correction is needed to overcome numerical instabilities introduced |
---|
2160 | !-- by a not sufficient reduction of divergences near topography. |
---|
2161 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
---|
2162 | + ( v_comp(k) + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
---|
2163 | + ( w_comp(k) * rho_air_zw(k) - & |
---|
2164 | w_comp(k-1) * rho_air_zw(k-1) & |
---|
2165 | ) * drho_air(k) * ddzw(k) & |
---|
2166 | ) * 0.5_wp |
---|
2167 | |
---|
2168 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
2169 | ( flux_r(k) + diss_r(k) & |
---|
2170 | - flux_l_u(k,j,tn) - diss_l_u(k,j,tn) ) * ddx & |
---|
2171 | + ( flux_n(k) + diss_n(k) & |
---|
2172 | - flux_s_u(k,tn) - diss_s_u(k,tn) ) * ddy & |
---|
2173 | + ( ( flux_t(k) + diss_t(k) ) & |
---|
2174 | - ( flux_d + diss_d ) & |
---|
2175 | ) * drho_air(k) * ddzw(k) & |
---|
2176 | ) + div * u(k,j,i) |
---|
2177 | |
---|
2178 | flux_l_u(k,j,tn) = flux_r(k) |
---|
2179 | diss_l_u(k,j,tn) = diss_r(k) |
---|
2180 | flux_s_u(k,tn) = flux_n(k) |
---|
2181 | diss_s_u(k,tn) = diss_n(k) |
---|
2182 | ! |
---|
2183 | !-- Statistical Evaluation of u'u'. The factor has to be applied for |
---|
2184 | !-- right evaluation when gallilei_trans = .T. . |
---|
2185 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
---|
2186 | + ( flux_r(k) & |
---|
2187 | * ( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
---|
2188 | / ( u_comp(k) - gu + SIGN( 1.0E-20_wp, u_comp(k) - gu ) ) & |
---|
2189 | + diss_r(k) & |
---|
2190 | * ABS( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
---|
2191 | / ( ABS( u_comp(k) - gu ) + 1.0E-20_wp ) & |
---|
2192 | ) * weight_substep(intermediate_timestep_count) |
---|
2193 | ! |
---|
2194 | !-- Statistical Evaluation of w'u'. |
---|
2195 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
---|
2196 | + ( flux_t(k) & |
---|
2197 | * ( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
---|
2198 | / ( w_comp(k) + SIGN( 1.0E-20_wp, w_comp(k) ) ) & |
---|
2199 | + diss_t(k) & |
---|
2200 | * ABS( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
---|
2201 | / ( ABS( w_comp(k) ) + 1.0E-20_wp ) & |
---|
2202 | ) * weight_substep(intermediate_timestep_count) |
---|
2203 | ENDDO |
---|
2204 | |
---|
2205 | sums_us2_ws_l(nzb,tn) = sums_us2_ws_l(nzb+1,tn) |
---|
2206 | |
---|
2207 | |
---|
2208 | |
---|
2209 | END SUBROUTINE advec_u_ws_ij |
---|
2210 | |
---|
2211 | |
---|
2212 | |
---|
2213 | !-----------------------------------------------------------------------------! |
---|
2214 | ! Description: |
---|
2215 | ! ------------ |
---|
2216 | !> Advection of v-component - Call for grid point i,j |
---|
2217 | !-----------------------------------------------------------------------------! |
---|
2218 | SUBROUTINE advec_v_ws_ij( i, j, i_omp, tn ) |
---|
2219 | |
---|
2220 | USE arrays_3d, & |
---|
2221 | ONLY: ddzw, diss_l_v, diss_s_v, flux_l_v, flux_s_v, tend, u, v, w, & |
---|
2222 | drho_air, rho_air_zw |
---|
2223 | |
---|
2224 | USE control_parameters, & |
---|
2225 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
---|
2226 | |
---|
2227 | USE grid_variables, & |
---|
2228 | ONLY: ddx, ddy |
---|
2229 | |
---|
2230 | USE indices, & |
---|
2231 | ONLY: nysv, nzb, nzb_max, nzt, advc_flags_1 |
---|
2232 | |
---|
2233 | USE kinds |
---|
2234 | |
---|
2235 | USE statistics, & |
---|
2236 | ONLY: hom, sums_vs2_ws_l, sums_wsvs_ws_l, weight_substep |
---|
2237 | |
---|
2238 | IMPLICIT NONE |
---|
2239 | |
---|
2240 | INTEGER(iwp) :: i !< |
---|
2241 | INTEGER(iwp) :: ibit18 !< |
---|
2242 | INTEGER(iwp) :: ibit19 !< |
---|
2243 | INTEGER(iwp) :: ibit20 !< |
---|
2244 | INTEGER(iwp) :: ibit21 !< |
---|
2245 | INTEGER(iwp) :: ibit22 !< |
---|
2246 | INTEGER(iwp) :: ibit23 !< |
---|
2247 | INTEGER(iwp) :: ibit24 !< |
---|
2248 | INTEGER(iwp) :: ibit25 !< |
---|
2249 | INTEGER(iwp) :: ibit26 !< |
---|
2250 | INTEGER(iwp) :: i_omp !< |
---|
2251 | INTEGER(iwp) :: j !< |
---|
2252 | INTEGER(iwp) :: k !< |
---|
2253 | INTEGER(iwp) :: k_mm !< |
---|
2254 | INTEGER(iwp) :: k_pp !< |
---|
2255 | INTEGER(iwp) :: k_ppp !< |
---|
2256 | INTEGER(iwp) :: tn !< |
---|
2257 | |
---|
2258 | REAL(wp) :: diss_d !< |
---|
2259 | REAL(wp) :: div !< |
---|
2260 | REAL(wp) :: flux_d !< |
---|
2261 | REAL(wp) :: gu !< |
---|
2262 | REAL(wp) :: gv !< |
---|
2263 | REAL(wp) :: v_comp_l !< |
---|
2264 | |
---|
2265 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_n !< |
---|
2266 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_r !< |
---|
2267 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_t !< |
---|
2268 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_n !< |
---|
2269 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_r !< |
---|
2270 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_t !< |
---|
2271 | REAL(wp), DIMENSION(nzb:nzt+1) :: u_comp !< |
---|
2272 | REAL(wp), DIMENSION(nzb:nzt+1) :: v_comp !< |
---|
2273 | REAL(wp), DIMENSION(nzb:nzt+1) :: w_comp !< |
---|
2274 | |
---|
2275 | gu = 2.0_wp * u_gtrans |
---|
2276 | gv = 2.0_wp * v_gtrans |
---|
2277 | |
---|
2278 | ! |
---|
2279 | !-- Compute leftside fluxes for the respective boundary. |
---|
2280 | IF ( i == i_omp ) THEN |
---|
2281 | |
---|
2282 | DO k = nzb+1, nzb_max |
---|
2283 | |
---|
2284 | ibit20 = IBITS(advc_flags_1(k,j,i-1),20,1) |
---|
2285 | ibit19 = IBITS(advc_flags_1(k,j,i-1),19,1) |
---|
2286 | ibit18 = IBITS(advc_flags_1(k,j,i-1),18,1) |
---|
2287 | |
---|
2288 | u_comp(k) = u(k,j-1,i) + u(k,j,i) - gu |
---|
2289 | flux_l_v(k,j,tn) = u_comp(k) * ( & |
---|
2290 | ( 37.0_wp * ibit20 * adv_mom_5 & |
---|
2291 | + 7.0_wp * ibit19 * adv_mom_3 & |
---|
2292 | + ibit18 * adv_mom_1 & |
---|
2293 | ) * & |
---|
2294 | ( v(k,j,i) + v(k,j,i-1) ) & |
---|
2295 | - ( 8.0_wp * ibit20 * adv_mom_5 & |
---|
2296 | + ibit19 * adv_mom_3 & |
---|
2297 | ) * & |
---|
2298 | ( v(k,j,i+1) + v(k,j,i-2) ) & |
---|
2299 | + ( ibit20 * adv_mom_5 & |
---|
2300 | ) * & |
---|
2301 | ( v(k,j,i+2) + v(k,j,i-3) ) & |
---|
2302 | ) |
---|
2303 | |
---|
2304 | diss_l_v(k,j,tn) = - ABS( u_comp(k) ) * ( & |
---|
2305 | ( 10.0_wp * ibit20 * adv_mom_5 & |
---|
2306 | + 3.0_wp * ibit19 * adv_mom_3 & |
---|
2307 | + ibit18 * adv_mom_1 & |
---|
2308 | ) * & |
---|
2309 | ( v(k,j,i) - v(k,j,i-1) ) & |
---|
2310 | - ( 5.0_wp * ibit20 * adv_mom_5 & |
---|
2311 | + ibit19 * adv_mom_3 & |
---|
2312 | ) * & |
---|
2313 | ( v(k,j,i+1) - v(k,j,i-2) ) & |
---|
2314 | + ( ibit20 * adv_mom_5 & |
---|
2315 | ) * & |
---|
2316 | ( v(k,j,i+2) - v(k,j,i-3) ) & |
---|
2317 | ) |
---|
2318 | |
---|
2319 | ENDDO |
---|
2320 | |
---|
2321 | DO k = nzb_max+1, nzt |
---|
2322 | |
---|
2323 | u_comp(k) = u(k,j-1,i) + u(k,j,i) - gu |
---|
2324 | flux_l_v(k,j,tn) = u_comp(k) * ( & |
---|
2325 | 37.0_wp * ( v(k,j,i) + v(k,j,i-1) ) & |
---|
2326 | - 8.0_wp * ( v(k,j,i+1) + v(k,j,i-2) ) & |
---|
2327 | + ( v(k,j,i+2) + v(k,j,i-3) ) ) * adv_mom_5 |
---|
2328 | diss_l_v(k,j,tn) = - ABS( u_comp(k) ) * ( & |
---|
2329 | 10.0_wp * ( v(k,j,i) - v(k,j,i-1) ) & |
---|
2330 | - 5.0_wp * ( v(k,j,i+1) - v(k,j,i-2) ) & |
---|
2331 | + ( v(k,j,i+2) - v(k,j,i-3) ) ) * adv_mom_5 |
---|
2332 | |
---|
2333 | ENDDO |
---|
2334 | |
---|
2335 | ENDIF |
---|
2336 | ! |
---|
2337 | !-- Compute southside fluxes for the respective boundary. |
---|
2338 | IF ( j == nysv ) THEN |
---|
2339 | |
---|
2340 | DO k = nzb+1, nzb_max |
---|
2341 | |
---|
2342 | ibit23 = IBITS(advc_flags_1(k,j-1,i),23,1) |
---|
2343 | ibit22 = IBITS(advc_flags_1(k,j-1,i),22,1) |
---|
2344 | ibit21 = IBITS(advc_flags_1(k,j-1,i),21,1) |
---|
2345 | |
---|
2346 | v_comp_l = v(k,j,i) + v(k,j-1,i) - gv |
---|
2347 | flux_s_v(k,tn) = v_comp_l * ( & |
---|
2348 | ( 37.0_wp * ibit23 * adv_mom_5 & |
---|
2349 | + 7.0_wp * ibit22 * adv_mom_3 & |
---|
2350 | + ibit21 * adv_mom_1 & |
---|
2351 | ) * & |
---|
2352 | ( v(k,j,i) + v(k,j-1,i) ) & |
---|
2353 | - ( 8.0_wp * ibit23 * adv_mom_5 & |
---|
2354 | + ibit22 * adv_mom_3 & |
---|
2355 | ) * & |
---|
2356 | ( v(k,j+1,i) + v(k,j-2,i) ) & |
---|
2357 | + ( ibit23 * adv_mom_5 & |
---|
2358 | ) * & |
---|
2359 | ( v(k,j+2,i) + v(k,j-3,i) ) & |
---|
2360 | ) |
---|
2361 | |
---|
2362 | diss_s_v(k,tn) = - ABS( v_comp_l ) * ( & |
---|
2363 | ( 10.0_wp * ibit23 * adv_mom_5 & |
---|
2364 | + 3.0_wp * ibit22 * adv_mom_3 & |
---|
2365 | + ibit21 * adv_mom_1 & |
---|
2366 | ) * & |
---|
2367 | ( v(k,j,i) - v(k,j-1,i) ) & |
---|
2368 | - ( 5.0_wp * ibit23 * adv_mom_5 & |
---|
2369 | + ibit22 * adv_mom_3 & |
---|
2370 | ) * & |
---|
2371 | ( v(k,j+1,i) - v(k,j-2,i) ) & |
---|
2372 | + ( ibit23 * adv_mom_5 & |
---|
2373 | ) * & |
---|
2374 | ( v(k,j+2,i) - v(k,j-3,i) ) & |
---|
2375 | ) |
---|
2376 | |
---|
2377 | ENDDO |
---|
2378 | |
---|
2379 | DO k = nzb_max+1, nzt |
---|
2380 | |
---|
2381 | v_comp_l = v(k,j,i) + v(k,j-1,i) - gv |
---|
2382 | flux_s_v(k,tn) = v_comp_l * ( & |
---|
2383 | 37.0_wp * ( v(k,j,i) + v(k,j-1,i) ) & |
---|
2384 | - 8.0_wp * ( v(k,j+1,i) + v(k,j-2,i) ) & |
---|
2385 | + ( v(k,j+2,i) + v(k,j-3,i) ) ) * adv_mom_5 |
---|
2386 | diss_s_v(k,tn) = - ABS( v_comp_l ) * ( & |
---|
2387 | 10.0_wp * ( v(k,j,i) - v(k,j-1,i) ) & |
---|
2388 | - 5.0_wp * ( v(k,j+1,i) - v(k,j-2,i) ) & |
---|
2389 | + ( v(k,j+2,i) - v(k,j-3,i) ) ) * adv_mom_5 |
---|
2390 | |
---|
2391 | ENDDO |
---|
2392 | |
---|
2393 | ENDIF |
---|
2394 | |
---|
2395 | flux_t(0) = 0.0_wp |
---|
2396 | diss_t(0) = 0.0_wp |
---|
2397 | w_comp(0) = 0.0_wp |
---|
2398 | ! |
---|
2399 | !-- Now compute the fluxes and tendency terms for the horizontal and |
---|
2400 | !-- verical parts. |
---|
2401 | DO k = nzb+1, nzb_max |
---|
2402 | |
---|
2403 | ibit20 = IBITS(advc_flags_1(k,j,i),20,1) |
---|
2404 | ibit19 = IBITS(advc_flags_1(k,j,i),19,1) |
---|
2405 | ibit18 = IBITS(advc_flags_1(k,j,i),18,1) |
---|
2406 | |
---|
2407 | u_comp(k) = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
2408 | flux_r(k) = u_comp(k) * ( & |
---|
2409 | ( 37.0_wp * ibit20 * adv_mom_5 & |
---|
2410 | + 7.0_wp * ibit19 * adv_mom_3 & |
---|
2411 | + ibit18 * adv_mom_1 & |
---|
2412 | ) * & |
---|
2413 | ( v(k,j,i+1) + v(k,j,i) ) & |
---|
2414 | - ( 8.0_wp * ibit20 * adv_mom_5 & |
---|
2415 | + ibit19 * adv_mom_3 & |
---|
2416 | ) * & |
---|
2417 | ( v(k,j,i+2) + v(k,j,i-1) ) & |
---|
2418 | + ( ibit20 * adv_mom_5 & |
---|
2419 | ) * & |
---|
2420 | ( v(k,j,i+3) + v(k,j,i-2) ) & |
---|
2421 | ) |
---|
2422 | |
---|
2423 | diss_r(k) = - ABS( u_comp(k) ) * ( & |
---|
2424 | ( 10.0_wp * ibit20 * adv_mom_5 & |
---|
2425 | + 3.0_wp * ibit19 * adv_mom_3 & |
---|
2426 | + ibit18 * adv_mom_1 & |
---|
2427 | ) * & |
---|
2428 | ( v(k,j,i+1) - v(k,j,i) ) & |
---|
2429 | - ( 5.0_wp * ibit20 * adv_mom_5 & |
---|
2430 | + ibit19 * adv_mom_3 & |
---|
2431 | ) * & |
---|
2432 | ( v(k,j,i+2) - v(k,j,i-1) ) & |
---|
2433 | + ( ibit20 * adv_mom_5 & |
---|
2434 | ) * & |
---|
2435 | ( v(k,j,i+3) - v(k,j,i-2) ) & |
---|
2436 | ) |
---|
2437 | |
---|
2438 | ibit23 = IBITS(advc_flags_1(k,j,i),23,1) |
---|
2439 | ibit22 = IBITS(advc_flags_1(k,j,i),22,1) |
---|
2440 | ibit21 = IBITS(advc_flags_1(k,j,i),21,1) |
---|
2441 | |
---|
2442 | |
---|
2443 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
2444 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
---|
2445 | ( 37.0_wp * ibit23 * adv_mom_5 & |
---|
2446 | + 7.0_wp * ibit22 * adv_mom_3 & |
---|
2447 | + ibit21 * adv_mom_1 & |
---|
2448 | ) * & |
---|
2449 | ( v(k,j+1,i) + v(k,j,i) ) & |
---|
2450 | - ( 8.0_wp * ibit23 * adv_mom_5 & |
---|
2451 | + ibit22 * adv_mom_3 & |
---|
2452 | ) * & |
---|
2453 | ( v(k,j+2,i) + v(k,j-1,i) ) & |
---|
2454 | + ( ibit23 * adv_mom_5 & |
---|
2455 | ) * & |
---|
2456 | ( v(k,j+3,i) + v(k,j-2,i) ) & |
---|
2457 | ) |
---|
2458 | |
---|
2459 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
---|
2460 | ( 10.0_wp * ibit23 * adv_mom_5 & |
---|
2461 | + 3.0_wp * ibit22 * adv_mom_3 & |
---|
2462 | + ibit21 * adv_mom_1 & |
---|
2463 | ) * & |
---|
2464 | ( v(k,j+1,i) - v(k,j,i) ) & |
---|
2465 | - ( 5.0_wp * ibit23 * adv_mom_5 & |
---|
2466 | + ibit22 * adv_mom_3 & |
---|
2467 | ) * & |
---|
2468 | ( v(k,j+2,i) - v(k,j-1,i) ) & |
---|
2469 | + ( ibit23 * adv_mom_5 & |
---|
2470 | ) * & |
---|
2471 | ( v(k,j+3,i) - v(k,j-2,i) ) & |
---|
2472 | ) |
---|
2473 | ! |
---|
2474 | !-- k index has to be modified near bottom and top, else array |
---|
2475 | !-- subscripts will be exceeded. |
---|
2476 | ibit26 = IBITS(advc_flags_1(k,j,i),26,1) |
---|
2477 | ibit25 = IBITS(advc_flags_1(k,j,i),25,1) |
---|
2478 | ibit24 = IBITS(advc_flags_1(k,j,i),24,1) |
---|
2479 | |
---|
2480 | k_ppp = k + 3 * ibit26 |
---|
2481 | k_pp = k + 2 * ( 1 - ibit24 ) |
---|
2482 | k_mm = k - 2 * ibit26 |
---|
2483 | |
---|
2484 | w_comp(k) = w(k,j-1,i) + w(k,j,i) |
---|
2485 | flux_t(k) = w_comp(k) * rho_air_zw(k) * ( & |
---|
2486 | ( 37.0_wp * ibit26 * adv_mom_5 & |
---|
2487 | + 7.0_wp * ibit25 * adv_mom_3 & |
---|
2488 | + ibit24 * adv_mom_1 & |
---|
2489 | ) * & |
---|
2490 | ( v(k+1,j,i) + v(k,j,i) ) & |
---|
2491 | - ( 8.0_wp * ibit26 * adv_mom_5 & |
---|
2492 | + ibit25 * adv_mom_3 & |
---|
2493 | ) * & |
---|
2494 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
---|
2495 | + ( ibit26 * adv_mom_5 & |
---|
2496 | ) * & |
---|
2497 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
---|
2498 | ) |
---|
2499 | |
---|
2500 | diss_t(k) = - ABS( w_comp(k) ) * rho_air_zw(k) * ( & |
---|
2501 | ( 10.0_wp * ibit26 * adv_mom_5 & |
---|
2502 | + 3.0_wp * ibit25 * adv_mom_3 & |
---|
2503 | + ibit24 * adv_mom_1 & |
---|
2504 | ) * & |
---|
2505 | ( v(k+1,j,i) - v(k,j,i) ) & |
---|
2506 | - ( 5.0_wp * ibit26 * adv_mom_5 & |
---|
2507 | + ibit25 * adv_mom_3 & |
---|
2508 | ) * & |
---|
2509 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
---|
2510 | + ( ibit26 * adv_mom_5 & |
---|
2511 | ) * & |
---|
2512 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
---|
2513 | ) |
---|
2514 | ENDDO |
---|
2515 | |
---|
2516 | DO k = nzb+1, nzb_max |
---|
2517 | |
---|
2518 | flux_d = flux_t(k-1) |
---|
2519 | diss_d = diss_t(k-1) |
---|
2520 | ! |
---|
2521 | !-- Calculate the divergence of the velocity field. A respective |
---|
2522 | !-- correction is needed to overcome numerical instabilities introduced |
---|
2523 | !-- by a not sufficient reduction of divergences near topography. |
---|
2524 | div = ( ( ( u_comp(k) + gu ) & |
---|
2525 | * ( ibit18 + ibit19 + ibit20 ) & |
---|
2526 | - ( u(k,j-1,i) + u(k,j,i) ) & |
---|
2527 | * ( IBITS(advc_flags_1(k,j,i-1),18,1) & |
---|
2528 | + IBITS(advc_flags_1(k,j,i-1),19,1) & |
---|
2529 | + IBITS(advc_flags_1(k,j,i-1),20,1) & |
---|
2530 | ) & |
---|
2531 | ) * ddx & |
---|
2532 | + ( v_comp(k) & |
---|
2533 | * ( ibit21 + ibit22 + ibit23 ) & |
---|
2534 | - ( v(k,j,i) + v(k,j-1,i) ) & |
---|
2535 | * ( IBITS(advc_flags_1(k,j-1,i),21,1) & |
---|
2536 | + IBITS(advc_flags_1(k,j-1,i),22,1) & |
---|
2537 | + IBITS(advc_flags_1(k,j-1,i),23,1) & |
---|
2538 | ) & |
---|
2539 | ) * ddy & |
---|
2540 | + ( w_comp(k) * rho_air_zw(k) * ( ibit24 + ibit25 + ibit26 )& |
---|
2541 | - w_comp(k-1) * rho_air_zw(k-1) & |
---|
2542 | * ( IBITS(advc_flags_1(k-1,j,i),24,1) & |
---|
2543 | + IBITS(advc_flags_1(k-1,j,i),25,1) & |
---|
2544 | + IBITS(advc_flags_1(k-1,j,i),26,1) & |
---|
2545 | ) & |
---|
2546 | ) * drho_air(k) * ddzw(k) & |
---|
2547 | ) * 0.5_wp |
---|
2548 | |
---|
2549 | |
---|
2550 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
2551 | ( flux_r(k) + diss_r(k) & |
---|
2552 | - flux_l_v(k,j,tn) - diss_l_v(k,j,tn) ) * ddx & |
---|
2553 | + ( flux_n(k) + diss_n(k) & |
---|
2554 | - flux_s_v(k,tn) - diss_s_v(k,tn) ) * ddy & |
---|
2555 | + ( ( flux_t(k) + diss_t(k) ) & |
---|
2556 | - ( flux_d + diss_d ) & |
---|
2557 | ) * drho_air(k) * ddzw(k) & |
---|
2558 | ) + v(k,j,i) * div |
---|
2559 | |
---|
2560 | flux_l_v(k,j,tn) = flux_r(k) |
---|
2561 | diss_l_v(k,j,tn) = diss_r(k) |
---|
2562 | flux_s_v(k,tn) = flux_n(k) |
---|
2563 | diss_s_v(k,tn) = diss_n(k) |
---|
2564 | |
---|
2565 | ! |
---|
2566 | !-- Statistical Evaluation of v'v'. The factor has to be applied for |
---|
2567 | !-- right evaluation when gallilei_trans = .T. . |
---|
2568 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
---|
2569 | + ( flux_n(k) & |
---|
2570 | * ( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
---|
2571 | / ( v_comp(k) - gv + SIGN( 1.0E-20_wp, v_comp(k) - gv ) ) & |
---|
2572 | + diss_n(k) & |
---|
2573 | * ABS( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
---|
2574 | / ( ABS( v_comp(k) - gv ) + 1.0E-20_wp ) & |
---|
2575 | ) * weight_substep(intermediate_timestep_count) |
---|
2576 | ! |
---|
2577 | !-- Statistical Evaluation of w'u'. |
---|
2578 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
---|
2579 | + ( flux_t(k) & |
---|
2580 | * ( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
---|
2581 | / ( w_comp(k) + SIGN( 1.0E-20_wp, w_comp(k) ) ) & |
---|
2582 | + diss_t(k) & |
---|
2583 | * ABS( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
---|
2584 | / ( ABS( w_comp(k) ) + 1.0E-20_wp ) & |
---|
2585 | ) * weight_substep(intermediate_timestep_count) |
---|
2586 | |
---|
2587 | ENDDO |
---|
2588 | |
---|
2589 | DO k = nzb_max+1, nzt |
---|
2590 | |
---|
2591 | u_comp(k) = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
2592 | flux_r(k) = u_comp(k) * ( & |
---|
2593 | 37.0_wp * ( v(k,j,i+1) + v(k,j,i) ) & |
---|
2594 | - 8.0_wp * ( v(k,j,i+2) + v(k,j,i-1) ) & |
---|
2595 | + ( v(k,j,i+3) + v(k,j,i-2) ) ) * adv_mom_5 |
---|
2596 | |
---|
2597 | diss_r(k) = - ABS( u_comp(k) ) * ( & |
---|
2598 | 10.0_wp * ( v(k,j,i+1) - v(k,j,i) ) & |
---|
2599 | - 5.0_wp * ( v(k,j,i+2) - v(k,j,i-1) ) & |
---|
2600 | + ( v(k,j,i+3) - v(k,j,i-2) ) ) * adv_mom_5 |
---|
2601 | |
---|
2602 | |
---|
2603 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
2604 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
---|
2605 | 37.0_wp * ( v(k,j+1,i) + v(k,j,i) ) & |
---|
2606 | - 8.0_wp * ( v(k,j+2,i) + v(k,j-1,i) ) & |
---|
2607 | + ( v(k,j+3,i) + v(k,j-2,i) ) ) * adv_mom_5 |
---|
2608 | |
---|
2609 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
---|
2610 | 10.0_wp * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
2611 | - 5.0_wp * ( v(k,j+2,i) - v(k,j-1,i) ) & |
---|
2612 | + ( v(k,j+3,i) - v(k,j-2,i) ) ) * adv_mom_5 |
---|
2613 | ! |
---|
2614 | !-- k index has to be modified near bottom and top, else array |
---|
2615 | !-- subscripts will be exceeded. |
---|
2616 | ibit26 = IBITS(advc_flags_1(k,j,i),26,1) |
---|
2617 | ibit25 = IBITS(advc_flags_1(k,j,i),25,1) |
---|
2618 | ibit24 = IBITS(advc_flags_1(k,j,i),24,1) |
---|
2619 | |
---|
2620 | k_ppp = k + 3 * ibit26 |
---|
2621 | k_pp = k + 2 * ( 1 - ibit24 ) |
---|
2622 | k_mm = k - 2 * ibit26 |
---|
2623 | |
---|
2624 | w_comp(k) = w(k,j-1,i) + w(k,j,i) |
---|
2625 | flux_t(k) = w_comp(k) * rho_air_zw(k) * ( & |
---|
2626 | ( 37.0_wp * ibit26 * adv_mom_5 & |
---|
2627 | + 7.0_wp * ibit25 * adv_mom_3 & |
---|
2628 | + ibit24 * adv_mom_1 & |
---|
2629 | ) * & |
---|
2630 | ( v(k+1,j,i) + v(k,j,i) ) & |
---|
2631 | - ( 8.0_wp * ibit26 * adv_mom_5 & |
---|
2632 | + ibit25 * adv_mom_3 & |
---|
2633 | ) * & |
---|
2634 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
---|
2635 | + ( ibit26 * adv_mom_5 & |
---|
2636 | ) * & |
---|
2637 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
---|
2638 | ) |
---|
2639 | |
---|
2640 | diss_t(k) = - ABS( w_comp(k) ) * rho_air_zw(k) * ( & |
---|
2641 | ( 10.0_wp * ibit26 * adv_mom_5 & |
---|
2642 | + 3.0_wp * ibit25 * adv_mom_3 & |
---|
2643 | + ibit24 * adv_mom_1 & |
---|
2644 | ) * & |
---|
2645 | ( v(k+1,j,i) - v(k,j,i) ) & |
---|
2646 | - ( 5.0_wp * ibit26 * adv_mom_5 & |
---|
2647 | + ibit25 * adv_mom_3 & |
---|
2648 | ) * & |
---|
2649 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
---|
2650 | + ( ibit26 * adv_mom_5 & |
---|
2651 | ) * & |
---|
2652 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
---|
2653 | ) |
---|
2654 | ENDDO |
---|
2655 | |
---|
2656 | DO k = nzb_max+1, nzt |
---|
2657 | |
---|
2658 | flux_d = flux_t(k-1) |
---|
2659 | diss_d = diss_t(k-1) |
---|
2660 | ! |
---|
2661 | !-- Calculate the divergence of the velocity field. A respective |
---|
2662 | !-- correction is needed to overcome numerical instabilities introduced |
---|
2663 | !-- by a not sufficient reduction of divergences near topography. |
---|
2664 | div = ( ( u_comp(k) + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
---|
2665 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
---|
2666 | + ( w_comp(k) * rho_air_zw(k) - & |
---|
2667 | w_comp(k-1) * rho_air_zw(k-1) & |
---|
2668 | ) * drho_air(k) * ddzw(k) & |
---|
2669 | ) * 0.5_wp |
---|
2670 | |
---|
2671 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
2672 | ( flux_r(k) + diss_r(k) & |
---|
2673 | - flux_l_v(k,j,tn) - diss_l_v(k,j,tn) ) * ddx & |
---|
2674 | + ( flux_n(k) + diss_n(k) & |
---|
2675 | - flux_s_v(k,tn) - diss_s_v(k,tn) ) * ddy & |
---|
2676 | + ( ( flux_t(k) + diss_t(k) ) & |
---|
2677 | - ( flux_d + diss_d ) & |
---|
2678 | ) * drho_air(k) * ddzw(k) & |
---|
2679 | ) + v(k,j,i) * div |
---|
2680 | |
---|
2681 | flux_l_v(k,j,tn) = flux_r(k) |
---|
2682 | diss_l_v(k,j,tn) = diss_r(k) |
---|
2683 | flux_s_v(k,tn) = flux_n(k) |
---|
2684 | diss_s_v(k,tn) = diss_n(k) |
---|
2685 | ! |
---|
2686 | !-- Statistical Evaluation of v'v'. The factor has to be applied for |
---|
2687 | !-- right evaluation when gallilei_trans = .T. . |
---|
2688 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
---|
2689 | + ( flux_n(k) & |
---|
2690 | * ( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
---|
2691 | / ( v_comp(k) - gv + SIGN( 1.0E-20_wp, v_comp(k) - gv ) ) & |
---|
2692 | + diss_n(k) & |
---|
2693 | * ABS( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
---|
2694 | / ( ABS( v_comp(k) - gv ) + 1.0E-20_wp ) & |
---|
2695 | ) * weight_substep(intermediate_timestep_count) |
---|
2696 | ! |
---|
2697 | !-- Statistical Evaluation of w'u'. |
---|
2698 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
---|
2699 | + ( flux_t(k) & |
---|
2700 | * ( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
---|
2701 | / ( w_comp(k) + SIGN( 1.0E-20_wp, w_comp(k) ) ) & |
---|
2702 | + diss_t(k) & |
---|
2703 | * ABS( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
---|
2704 | / ( ABS( w_comp(k) ) + 1.0E-20_wp ) & |
---|
2705 | ) * weight_substep(intermediate_timestep_count) |
---|
2706 | |
---|
2707 | ENDDO |
---|
2708 | sums_vs2_ws_l(nzb,tn) = sums_vs2_ws_l(nzb+1,tn) |
---|
2709 | |
---|
2710 | |
---|
2711 | END SUBROUTINE advec_v_ws_ij |
---|
2712 | |
---|
2713 | |
---|
2714 | |
---|
2715 | !------------------------------------------------------------------------------! |
---|
2716 | ! Description: |
---|
2717 | ! ------------ |
---|
2718 | !> Advection of w-component - Call for grid point i,j |
---|
2719 | !------------------------------------------------------------------------------! |
---|
2720 | SUBROUTINE advec_w_ws_ij( i, j, i_omp, tn ) |
---|
2721 | |
---|
2722 | USE arrays_3d, & |
---|
2723 | ONLY: ddzu, diss_l_w, diss_s_w, flux_l_w, flux_s_w, tend, u, v, w,& |
---|
2724 | drho_air_zw, rho_air |
---|
2725 | |
---|
2726 | USE control_parameters, & |
---|
2727 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
---|
2728 | |
---|
2729 | USE grid_variables, & |
---|
2730 | ONLY: ddx, ddy |
---|
2731 | |
---|
2732 | USE indices, & |
---|
2733 | ONLY: nys, nzb, nzb_max, nzt, advc_flags_1, advc_flags_2 |
---|
2734 | |
---|
2735 | USE kinds |
---|
2736 | |
---|
2737 | USE statistics, & |
---|
2738 | ONLY: hom, sums_ws2_ws_l, weight_substep |
---|
2739 | |
---|
2740 | IMPLICIT NONE |
---|
2741 | |
---|
2742 | INTEGER(iwp) :: i !< |
---|
2743 | INTEGER(iwp) :: ibit27 !< |
---|
2744 | INTEGER(iwp) :: ibit28 !< |
---|
2745 | INTEGER(iwp) :: ibit29 !< |
---|
2746 | INTEGER(iwp) :: ibit30 !< |
---|
2747 | INTEGER(iwp) :: ibit31 !< |
---|
2748 | INTEGER(iwp) :: ibit32 !< |
---|
2749 | INTEGER(iwp) :: ibit33 !< |
---|
2750 | INTEGER(iwp) :: ibit34 !< |
---|
2751 | INTEGER(iwp) :: ibit35 !< |
---|
2752 | INTEGER(iwp) :: i_omp !< |
---|
2753 | INTEGER(iwp) :: j !< |
---|
2754 | INTEGER(iwp) :: k !< |
---|
2755 | INTEGER(iwp) :: k_mm !< |
---|
2756 | INTEGER(iwp) :: k_pp !< |
---|
2757 | INTEGER(iwp) :: k_ppp !< |
---|
2758 | INTEGER(iwp) :: tn !< |
---|
2759 | |
---|
2760 | REAL(wp) :: diss_d !< |
---|
2761 | REAL(wp) :: div !< |
---|
2762 | REAL(wp) :: flux_d !< |
---|
2763 | REAL(wp) :: gu !< |
---|
2764 | REAL(wp) :: gv !< |
---|
2765 | |
---|
2766 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_n !< |
---|
2767 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_r !< |
---|
2768 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_t !< |
---|
2769 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_n !< |
---|
2770 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_r !< |
---|
2771 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_t !< |
---|
2772 | REAL(wp), DIMENSION(nzb:nzt+1) :: u_comp !< |
---|
2773 | REAL(wp), DIMENSION(nzb:nzt+1) :: v_comp !< |
---|
2774 | REAL(wp), DIMENSION(nzb:nzt+1) :: w_comp !< |
---|
2775 | |
---|
2776 | gu = 2.0_wp * u_gtrans |
---|
2777 | gv = 2.0_wp * v_gtrans |
---|
2778 | |
---|
2779 | ! |
---|
2780 | !-- Compute southside fluxes for the respective boundary. |
---|
2781 | IF ( j == nys ) THEN |
---|
2782 | |
---|
2783 | DO k = nzb+1, nzb_max |
---|
2784 | ibit32 = IBITS(advc_flags_2(k,j-1,i),0,1) |
---|
2785 | ibit31 = IBITS(advc_flags_1(k,j-1,i),31,1) |
---|
2786 | ibit30 = IBITS(advc_flags_1(k,j-1,i),30,1) |
---|
2787 | |
---|
2788 | v_comp(k) = v(k+1,j,i) + v(k,j,i) - gv |
---|
2789 | flux_s_w(k,tn) = v_comp(k) * ( & |
---|
2790 | ( 37.0_wp * ibit32 * adv_mom_5 & |
---|
2791 | + 7.0_wp * ibit31 * adv_mom_3 & |
---|
2792 | + ibit30 * adv_mom_1 & |
---|
2793 | ) * & |
---|
2794 | ( w(k,j,i) + w(k,j-1,i) ) & |
---|
2795 | - ( 8.0_wp * ibit32 * adv_mom_5 & |
---|
2796 | + ibit31 * adv_mom_3 & |
---|
2797 | ) * & |
---|
2798 | ( w(k,j+1,i) + w(k,j-2,i) ) & |
---|
2799 | + ( ibit32 * adv_mom_5 & |
---|
2800 | ) * & |
---|
2801 | ( w(k,j+2,i) + w(k,j-3,i) ) & |
---|
2802 | ) |
---|
2803 | |
---|
2804 | diss_s_w(k,tn) = - ABS( v_comp(k) ) * ( & |
---|
2805 | ( 10.0_wp * ibit32 * adv_mom_5 & |
---|
2806 | + 3.0_wp * ibit31 * adv_mom_3 & |
---|
2807 | + ibit30 * adv_mom_1 & |
---|
2808 | ) * & |
---|
2809 | ( w(k,j,i) - w(k,j-1,i) ) & |
---|
2810 | - ( 5.0_wp * ibit32 * adv_mom_5 & |
---|
2811 | + ibit31 * adv_mom_3 & |
---|
2812 | ) * & |
---|
2813 | ( w(k,j+1,i) - w(k,j-2,i) ) & |
---|
2814 | + ( ibit32 * adv_mom_5 & |
---|
2815 | ) * & |
---|
2816 | ( w(k,j+2,i) - w(k,j-3,i) ) & |
---|
2817 | ) |
---|
2818 | |
---|
2819 | ENDDO |
---|
2820 | |
---|
2821 | DO k = nzb_max+1, nzt |
---|
2822 | |
---|
2823 | v_comp(k) = v(k+1,j,i) + v(k,j,i) - gv |
---|
2824 | flux_s_w(k,tn) = v_comp(k) * ( & |
---|
2825 | 37.0_wp * ( w(k,j,i) + w(k,j-1,i) ) & |
---|
2826 | - 8.0_wp * ( w(k,j+1,i) +w(k,j-2,i) ) & |
---|
2827 | + ( w(k,j+2,i) + w(k,j-3,i) ) ) * adv_mom_5 |
---|
2828 | diss_s_w(k,tn) = - ABS( v_comp(k) ) * ( & |
---|
2829 | 10.0_wp * ( w(k,j,i) - w(k,j-1,i) ) & |
---|
2830 | - 5.0_wp * ( w(k,j+1,i) - w(k,j-2,i) ) & |
---|
2831 | + ( w(k,j+2,i) - w(k,j-3,i) ) ) * adv_mom_5 |
---|
2832 | |
---|
2833 | ENDDO |
---|
2834 | |
---|
2835 | ENDIF |
---|
2836 | ! |
---|
2837 | !-- Compute leftside fluxes for the respective boundary. |
---|
2838 | IF ( i == i_omp ) THEN |
---|
2839 | |
---|
2840 | DO k = nzb+1, nzb_max |
---|
2841 | |
---|
2842 | ibit29 = IBITS(advc_flags_1(k,j,i-1),29,1) |
---|
2843 | ibit28 = IBITS(advc_flags_1(k,j,i-1),28,1) |
---|
2844 | ibit27 = IBITS(advc_flags_1(k,j,i-1),27,1) |
---|
2845 | |
---|
2846 | u_comp(k) = u(k+1,j,i) + u(k,j,i) - gu |
---|
2847 | flux_l_w(k,j,tn) = u_comp(k) * ( & |
---|
2848 | ( 37.0_wp * ibit29 * adv_mom_5 & |
---|
2849 | + 7.0_wp * ibit28 * adv_mom_3 & |
---|
2850 | + ibit27 * adv_mom_1 & |
---|
2851 | ) * & |
---|
2852 | ( w(k,j,i) + w(k,j,i-1) ) & |
---|
2853 | - ( 8.0_wp * ibit29 * adv_mom_5 & |
---|
2854 | + ibit28 * adv_mom_3 & |
---|
2855 | ) * & |
---|
2856 | ( w(k,j,i+1) + w(k,j,i-2) ) & |
---|
2857 | + ( ibit29 * adv_mom_5 & |
---|
2858 | ) * & |
---|
2859 | ( w(k,j,i+2) + w(k,j,i-3) ) & |
---|
2860 | ) |
---|
2861 | |
---|
2862 | diss_l_w(k,j,tn) = - ABS( u_comp(k) ) * ( & |
---|
2863 | ( 10.0_wp * ibit29 * adv_mom_5 & |
---|
2864 | + 3.0_wp * ibit28 * adv_mom_3 & |
---|
2865 | + ibit27 * adv_mom_1 & |
---|
2866 | ) * & |
---|
2867 | ( w(k,j,i) - w(k,j,i-1) ) & |
---|
2868 | - ( 5.0_wp * ibit29 * adv_mom_5 & |
---|
2869 | + ibit28 * adv_mom_3 & |
---|
2870 | ) * & |
---|
2871 | ( w(k,j,i+1) - w(k,j,i-2) ) & |
---|
2872 | + ( ibit29 * adv_mom_5 & |
---|
2873 | ) * & |
---|
2874 | ( w(k,j,i+2) - w(k,j,i-3) ) & |
---|
2875 | ) |
---|
2876 | |
---|
2877 | ENDDO |
---|
2878 | |
---|
2879 | DO k = nzb_max+1, nzt |
---|
2880 | |
---|
2881 | u_comp(k) = u(k+1,j,i) + u(k,j,i) - gu |
---|
2882 | flux_l_w(k,j,tn) = u_comp(k) * ( & |
---|
2883 | 37.0_wp * ( w(k,j,i) + w(k,j,i-1) ) & |
---|
2884 | - 8.0_wp * ( w(k,j,i+1) + w(k,j,i-2) ) & |
---|
2885 | + ( w(k,j,i+2) + w(k,j,i-3) ) ) * adv_mom_5 |
---|
2886 | diss_l_w(k,j,tn) = - ABS( u_comp(k) ) * ( & |
---|
2887 | 10.0_wp * ( w(k,j,i) - w(k,j,i-1) ) & |
---|
2888 | - 5.0_wp * ( w(k,j,i+1) - w(k,j,i-2) ) & |
---|
2889 | + ( w(k,j,i+2) - w(k,j,i-3) ) ) * adv_mom_5 |
---|
2890 | |
---|
2891 | ENDDO |
---|
2892 | |
---|
2893 | ENDIF |
---|
2894 | ! |
---|
2895 | !-- The lower flux has to be calculated explicetely for the tendency at |
---|
2896 | !-- the first w-level. For topography wall this is done implicitely by |
---|
2897 | !-- advc_flags_1. |
---|
2898 | k = nzb + 1 |
---|
2899 | w_comp(k) = w(k,j,i) + w(k-1,j,i) |
---|
2900 | flux_t(0) = w_comp(k) * ( w(k,j,i) + w(k-1,j,i) ) * adv_mom_1 |
---|
2901 | diss_t(0) = -ABS(w_comp(k)) * ( w(k,j,i) - w(k-1,j,i) ) * adv_mom_1 |
---|
2902 | ! |
---|
2903 | !-- Now compute the fluxes and tendency terms for the horizontal |
---|
2904 | !-- and vertical parts. |
---|
2905 | DO k = nzb+1, nzb_max |
---|
2906 | |
---|
2907 | ibit29 = IBITS(advc_flags_1(k,j,i),29,1) |
---|
2908 | ibit28 = IBITS(advc_flags_1(k,j,i),28,1) |
---|
2909 | ibit27 = IBITS(advc_flags_1(k,j,i),27,1) |
---|
2910 | |
---|
2911 | u_comp(k) = u(k+1,j,i+1) + u(k,j,i+1) - gu |
---|
2912 | flux_r(k) = u_comp(k) * ( & |
---|
2913 | ( 37.0_wp * ibit29 * adv_mom_5 & |
---|
2914 | + 7.0_wp * ibit28 * adv_mom_3 & |
---|
2915 | + ibit27 * adv_mom_1 & |
---|
2916 | ) * & |
---|
2917 | ( w(k,j,i+1) + w(k,j,i) ) & |
---|
2918 | - ( 8.0_wp * ibit29 * adv_mom_5 & |
---|
2919 | + ibit28 * adv_mom_3 & |
---|
2920 | ) * & |
---|
2921 | ( w(k,j,i+2) + w(k,j,i-1) ) & |
---|
2922 | + ( ibit29 * adv_mom_5 & |
---|
2923 | ) * & |
---|
2924 | ( w(k,j,i+3) + w(k,j,i-2) ) & |
---|
2925 | ) |
---|
2926 | |
---|
2927 | diss_r(k) = - ABS( u_comp(k) ) * ( & |
---|
2928 | ( 10.0_wp * ibit29 * adv_mom_5 & |
---|
2929 | + 3.0_wp * ibit28 * adv_mom_3 & |
---|
2930 | + ibit27 * adv_mom_1 & |
---|
2931 | ) * & |
---|
2932 | ( w(k,j,i+1) - w(k,j,i) ) & |
---|
2933 | - ( 5.0_wp * ibit29 * adv_mom_5 & |
---|
2934 | + ibit28 * adv_mom_3 & |
---|
2935 | ) * & |
---|
2936 | ( w(k,j,i+2) - w(k,j,i-1) ) & |
---|
2937 | + ( ibit29 * adv_mom_5 & |
---|
2938 | ) * & |
---|
2939 | ( w(k,j,i+3) - w(k,j,i-2) ) & |
---|
2940 | ) |
---|
2941 | |
---|
2942 | ibit32 = IBITS(advc_flags_2(k,j,i),0,1) |
---|
2943 | ibit31 = IBITS(advc_flags_1(k,j,i),31,1) |
---|
2944 | ibit30 = IBITS(advc_flags_1(k,j,i),30,1) |
---|
2945 | |
---|
2946 | v_comp(k) = v(k+1,j+1,i) + v(k,j+1,i) - gv |
---|
2947 | flux_n(k) = v_comp(k) * ( & |
---|
2948 | ( 37.0_wp * ibit32 * adv_mom_5 & |
---|
2949 | + 7.0_wp * ibit31 * adv_mom_3 & |
---|
2950 | + ibit30 * adv_mom_1 & |
---|
2951 | ) * & |
---|
2952 | ( w(k,j+1,i) + w(k,j,i) ) & |
---|
2953 | - ( 8.0_wp * ibit32 * adv_mom_5 & |
---|
2954 | + ibit31 * adv_mom_3 & |
---|
2955 | ) * & |
---|
2956 | ( w(k,j+2,i) + w(k,j-1,i) ) & |
---|
2957 | + ( ibit32 * adv_mom_5 & |
---|
2958 | ) * & |
---|
2959 | ( w(k,j+3,i) + w(k,j-2,i) ) & |
---|
2960 | ) |
---|
2961 | |
---|
2962 | diss_n(k) = - ABS( v_comp(k) ) * ( & |
---|
2963 | ( 10.0_wp * ibit32 * adv_mom_5 & |
---|
2964 | + 3.0_wp * ibit31 * adv_mom_3 & |
---|
2965 | + ibit30 * adv_mom_1 & |
---|
2966 | ) * & |
---|
2967 | ( w(k,j+1,i) - w(k,j,i) ) & |
---|
2968 | - ( 5.0_wp * ibit32 * adv_mom_5 & |
---|
2969 | + ibit31 * adv_mom_3 & |
---|
2970 | ) * & |
---|
2971 | ( w(k,j+2,i) - w(k,j-1,i) ) & |
---|
2972 | + ( ibit32 * adv_mom_5 & |
---|
2973 | ) * & |
---|
2974 | ( w(k,j+3,i) - w(k,j-2,i) ) & |
---|
2975 | ) |
---|
2976 | ! |
---|
2977 | !-- k index has to be modified near bottom and top, else array |
---|
2978 | !-- subscripts will be exceeded. |
---|
2979 | ibit35 = IBITS(advc_flags_2(k,j,i),3,1) |
---|
2980 | ibit34 = IBITS(advc_flags_2(k,j,i),2,1) |
---|
2981 | ibit33 = IBITS(advc_flags_2(k,j,i),1,1) |
---|
2982 | |
---|
2983 | k_ppp = k + 3 * ibit35 |
---|
2984 | k_pp = k + 2 * ( 1 - ibit33 ) |
---|
2985 | k_mm = k - 2 * ibit35 |
---|
2986 | |
---|
2987 | w_comp(k) = w(k+1,j,i) + w(k,j,i) |
---|
2988 | flux_t(k) = w_comp(k) * rho_air(k+1) * ( & |
---|
2989 | ( 37.0_wp * ibit35 * adv_mom_5 & |
---|
2990 | + 7.0_wp * ibit34 * adv_mom_3 & |
---|
2991 | + ibit33 * adv_mom_1 & |
---|
2992 | ) * & |
---|
2993 | ( w(k+1,j,i) + w(k,j,i) ) & |
---|
2994 | - ( 8.0_wp * ibit35 * adv_mom_5 & |
---|
2995 | + ibit34 * adv_mom_3 & |
---|
2996 | ) * & |
---|
2997 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
---|
2998 | + ( ibit35 * adv_mom_5 & |
---|
2999 | ) * & |
---|
3000 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
---|
3001 | ) |
---|
3002 | |
---|
3003 | diss_t(k) = - ABS( w_comp(k) ) * rho_air(k+1) * ( & |
---|
3004 | ( 10.0_wp * ibit35 * adv_mom_5 & |
---|
3005 | + 3.0_wp * ibit34 * adv_mom_3 & |
---|
3006 | + ibit33 * adv_mom_1 & |
---|
3007 | ) * & |
---|
3008 | ( w(k+1,j,i) - w(k,j,i) ) & |
---|
3009 | - ( 5.0_wp * ibit35 * adv_mom_5 & |
---|
3010 | + ibit34 * adv_mom_3 & |
---|
3011 | ) * & |
---|
3012 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
---|
3013 | + ( ibit35 * adv_mom_5 & |
---|
3014 | ) * & |
---|
3015 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
---|
3016 | ) |
---|
3017 | ENDDO |
---|
3018 | |
---|
3019 | DO k = nzb+1, nzb_max |
---|
3020 | |
---|
3021 | flux_d = flux_t(k-1) |
---|
3022 | diss_d = diss_t(k-1) |
---|
3023 | ! |
---|
3024 | !-- Calculate the divergence of the velocity field. A respective |
---|
3025 | !-- correction is needed to overcome numerical instabilities introduced |
---|
3026 | !-- by a not sufficient reduction of divergences near topography. |
---|
3027 | div = ( ( ( u_comp(k) + gu ) * ( ibit27 + ibit28 + ibit29 ) & |
---|
3028 | - ( u(k+1,j,i) + u(k,j,i) ) & |
---|
3029 | * ( IBITS(advc_flags_1(k,j,i-1),27,1) & |
---|
3030 | + IBITS(advc_flags_1(k,j,i-1),28,1) & |
---|
3031 | + IBITS(advc_flags_1(k,j,i-1),29,1) & |
---|
3032 | ) & |
---|
3033 | ) * ddx & |
---|
3034 | + ( ( v_comp(k) + gv ) * ( ibit30 + ibit31 + ibit32 ) & |
---|
3035 | - ( v(k+1,j,i) + v(k,j,i) ) & |
---|
3036 | * ( IBITS(advc_flags_1(k,j-1,i),30,1) & |
---|
3037 | + IBITS(advc_flags_1(k,j-1,i),31,1) & |
---|
3038 | + IBITS(advc_flags_2(k,j-1,i),0,1) & |
---|
3039 | ) & |
---|
3040 | ) * ddy & |
---|
3041 | + ( w_comp(k) * rho_air(k+1) & |
---|
3042 | * ( ibit33 + ibit34 + ibit35 ) & |
---|
3043 | - ( w(k,j,i) + w(k-1,j,i) ) * rho_air(k) & |
---|
3044 | * ( IBITS(advc_flags_2(k-1,j,i),1,1) & |
---|
3045 | + IBITS(advc_flags_2(k-1,j,i),2,1) & |
---|
3046 | + IBITS(advc_flags_2(k-1,j,i),3,1) & |
---|
3047 | ) & |
---|
3048 | ) * drho_air_zw(k) * ddzu(k+1) & |
---|
3049 | ) * 0.5_wp |
---|
3050 | |
---|
3051 | |
---|
3052 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
3053 | ( flux_r(k) + diss_r(k) & |
---|
3054 | - flux_l_w(k,j,tn) - diss_l_w(k,j,tn) ) * ddx & |
---|
3055 | + ( flux_n(k) + diss_n(k) & |
---|
3056 | - flux_s_w(k,tn) - diss_s_w(k,tn) ) * ddy & |
---|
3057 | + ( ( flux_t(k) + diss_t(k) ) & |
---|
3058 | - ( flux_d + diss_d ) & |
---|
3059 | ) * drho_air_zw(k) * ddzu(k+1) & |
---|
3060 | ) + div * w(k,j,i) |
---|
3061 | |
---|
3062 | flux_l_w(k,j,tn) = flux_r(k) |
---|
3063 | diss_l_w(k,j,tn) = diss_r(k) |
---|
3064 | flux_s_w(k,tn) = flux_n(k) |
---|
3065 | diss_s_w(k,tn) = diss_n(k) |
---|
3066 | ! |
---|
3067 | !-- Statistical Evaluation of w'w'. |
---|
3068 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
---|
3069 | + ( flux_t(k) & |
---|
3070 | * ( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
---|
3071 | / ( w_comp(k) + SIGN( 1.0E-20_wp, w_comp(k) ) ) & |
---|
3072 | + diss_t(k) & |
---|
3073 | * ABS( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
---|
3074 | / ( ABS( w_comp(k) ) + 1.0E-20_wp ) & |
---|
3075 | ) * weight_substep(intermediate_timestep_count) |
---|
3076 | |
---|
3077 | ENDDO |
---|
3078 | |
---|
3079 | DO k = nzb_max+1, nzt |
---|
3080 | |
---|
3081 | u_comp(k) = u(k+1,j,i+1) + u(k,j,i+1) - gu |
---|
3082 | flux_r(k) = u_comp(k) * ( & |
---|
3083 | 37.0_wp * ( w(k,j,i+1) + w(k,j,i) ) & |
---|
3084 | - 8.0_wp * ( w(k,j,i+2) + w(k,j,i-1) ) & |
---|
3085 | + ( w(k,j,i+3) + w(k,j,i-2) ) ) * adv_mom_5 |
---|
3086 | |
---|
3087 | diss_r(k) = - ABS( u_comp(k) ) * ( & |
---|
3088 | 10.0_wp * ( w(k,j,i+1) - w(k,j,i) ) & |
---|
3089 | - 5.0_wp * ( w(k,j,i+2) - w(k,j,i-1) ) & |
---|
3090 | + ( w(k,j,i+3) - w(k,j,i-2) ) ) * adv_mom_5 |
---|
3091 | |
---|
3092 | v_comp(k) = v(k+1,j+1,i) + v(k,j+1,i) - gv |
---|
3093 | flux_n(k) = v_comp(k) * ( & |
---|
3094 | 37.0_wp * ( w(k,j+1,i) + w(k,j,i) ) & |
---|
3095 | - 8.0_wp * ( w(k,j+2,i) + w(k,j-1,i) ) & |
---|
3096 | + ( w(k,j+3,i) + w(k,j-2,i) ) ) * adv_mom_5 |
---|
3097 | |
---|
3098 | diss_n(k) = - ABS( v_comp(k) ) * ( & |
---|
3099 | 10.0_wp * ( w(k,j+1,i) - w(k,j,i) ) & |
---|
3100 | - 5.0_wp * ( w(k,j+2,i) - w(k,j-1,i) ) & |
---|
3101 | + ( w(k,j+3,i) - w(k,j-2,i) ) ) * adv_mom_5 |
---|
3102 | ! |
---|
3103 | !-- k index has to be modified near bottom and top, else array |
---|
3104 | !-- subscripts will be exceeded. |
---|
3105 | ibit35 = IBITS(advc_flags_2(k,j,i),3,1) |
---|
3106 | ibit34 = IBITS(advc_flags_2(k,j,i),2,1) |
---|
3107 | ibit33 = IBITS(advc_flags_2(k,j,i),1,1) |
---|
3108 | |
---|
3109 | k_ppp = k + 3 * ibit35 |
---|
3110 | k_pp = k + 2 * ( 1 - ibit33 ) |
---|
3111 | k_mm = k - 2 * ibit35 |
---|
3112 | |
---|
3113 | w_comp(k) = w(k+1,j,i) + w(k,j,i) |
---|
3114 | flux_t(k) = w_comp(k) * rho_air(k+1) * ( & |
---|
3115 | ( 37.0_wp * ibit35 * adv_mom_5 & |
---|
3116 | + 7.0_wp * ibit34 * adv_mom_3 & |
---|
3117 | + ibit33 * adv_mom_1 & |
---|
3118 | ) * & |
---|
3119 | ( w(k+1,j,i) + w(k,j,i) ) & |
---|
3120 | - ( 8.0_wp * ibit35 * adv_mom_5 & |
---|
3121 | + ibit34 * adv_mom_3 & |
---|
3122 | ) * & |
---|
3123 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
---|
3124 | + ( ibit35 * adv_mom_5 & |
---|
3125 | ) * & |
---|
3126 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
---|
3127 | ) |
---|
3128 | |
---|
3129 | diss_t(k) = - ABS( w_comp(k) ) * rho_air(k+1) * ( & |
---|
3130 | ( 10.0_wp * ibit35 * adv_mom_5 & |
---|
3131 | + 3.0_wp * ibit34 * adv_mom_3 & |
---|
3132 | + ibit33 * adv_mom_1 & |
---|
3133 | ) * & |
---|
3134 | ( w(k+1,j,i) - w(k,j,i) ) & |
---|
3135 | - ( 5.0_wp * ibit35 * adv_mom_5 & |
---|
3136 | + ibit34 * adv_mom_3 & |
---|
3137 | ) * & |
---|
3138 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
---|
3139 | + ( ibit35 * adv_mom_5 & |
---|
3140 | ) * & |
---|
3141 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
---|
3142 | ) |
---|
3143 | ENDDO |
---|
3144 | |
---|
3145 | DO k = nzb_max+1, nzt |
---|
3146 | |
---|
3147 | flux_d = flux_t(k-1) |
---|
3148 | diss_d = diss_t(k-1) |
---|
3149 | ! |
---|
3150 | !-- Calculate the divergence of the velocity field. A respective |
---|
3151 | !-- correction is needed to overcome numerical instabilities introduced |
---|
3152 | !-- by a not sufficient reduction of divergences near topography. |
---|
3153 | div = ( ( u_comp(k) + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
---|
3154 | + ( v_comp(k) + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
---|
3155 | + ( w_comp(k) * rho_air(k+1) - & |
---|
3156 | ( w(k,j,i) + w(k-1,j,i) ) * rho_air(k) & |
---|
3157 | ) * drho_air_zw(k) * ddzu(k+1) & |
---|
3158 | ) * 0.5_wp |
---|
3159 | |
---|
3160 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
3161 | ( flux_r(k) + diss_r(k) & |
---|
3162 | - flux_l_w(k,j,tn) - diss_l_w(k,j,tn) ) * ddx & |
---|
3163 | + ( flux_n(k) + diss_n(k) & |
---|
3164 | - flux_s_w(k,tn) - diss_s_w(k,tn) ) * ddy & |
---|
3165 | + ( ( flux_t(k) + diss_t(k) ) & |
---|
3166 | - ( flux_d + diss_d ) & |
---|
3167 | ) * drho_air_zw(k) * ddzu(k+1) & |
---|
3168 | ) + div * w(k,j,i) |
---|
3169 | |
---|
3170 | flux_l_w(k,j,tn) = flux_r(k) |
---|
3171 | diss_l_w(k,j,tn) = diss_r(k) |
---|
3172 | flux_s_w(k,tn) = flux_n(k) |
---|
3173 | diss_s_w(k,tn) = diss_n(k) |
---|
3174 | ! |
---|
3175 | !-- Statistical Evaluation of w'w'. |
---|
3176 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
---|
3177 | + ( flux_t(k) & |
---|
3178 | * ( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
---|
3179 | / ( w_comp(k) + SIGN( 1.0E-20_wp, w_comp(k) ) ) & |
---|
3180 | + diss_t(k) & |
---|
3181 | * ABS( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
---|
3182 | / ( ABS( w_comp(k) ) + 1.0E-20_wp ) & |
---|
3183 | ) * weight_substep(intermediate_timestep_count) |
---|
3184 | |
---|
3185 | ENDDO |
---|
3186 | |
---|
3187 | |
---|
3188 | END SUBROUTINE advec_w_ws_ij |
---|
3189 | |
---|
3190 | |
---|
3191 | !------------------------------------------------------------------------------! |
---|
3192 | ! Description: |
---|
3193 | ! ------------ |
---|
3194 | !> Scalar advection - Call for all grid points |
---|
3195 | !------------------------------------------------------------------------------! |
---|
3196 | SUBROUTINE advec_s_ws( sk, sk_char ) |
---|
3197 | |
---|
3198 | USE arrays_3d, & |
---|
3199 | ONLY: ddzw, drho_air, rho_air_zw, tend, u, u_stokes_zu, v, & |
---|
3200 | v_stokes_zu, w |
---|
3201 | |
---|
3202 | USE control_parameters, & |
---|
3203 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
---|
3204 | |
---|
3205 | USE grid_variables, & |
---|
3206 | ONLY: ddx, ddy |
---|
3207 | |
---|
3208 | USE indices, & |
---|
3209 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzb_max, & |
---|
3210 | nzt, advc_flags_1 |
---|
3211 | |
---|
3212 | USE kinds |
---|
3213 | |
---|
3214 | USE statistics, & |
---|
3215 | ONLY: hom, sums_wspts_ws_l, sums_wsqs_ws_l, sums_wssas_ws_l, & |
---|
3216 | sums_wsqcs_ws_l, sums_wsqrs_ws_l, sums_wsncs_ws_l, & |
---|
3217 | sums_wsnrs_ws_l, sums_wsss_ws_l, weight_substep |
---|
3218 | |
---|
3219 | |
---|
3220 | |
---|
3221 | IMPLICIT NONE |
---|
3222 | |
---|
3223 | CHARACTER (LEN = *), INTENT(IN) :: sk_char !< |
---|
3224 | |
---|
3225 | INTEGER(iwp) :: i !< |
---|
3226 | INTEGER(iwp) :: ibit0 !< |
---|
3227 | INTEGER(iwp) :: ibit1 !< |
---|
3228 | INTEGER(iwp) :: ibit2 !< |
---|
3229 | INTEGER(iwp) :: ibit3 !< |
---|
3230 | INTEGER(iwp) :: ibit4 !< |
---|
3231 | INTEGER(iwp) :: ibit5 !< |
---|
3232 | INTEGER(iwp) :: ibit6 !< |
---|
3233 | INTEGER(iwp) :: ibit7 !< |
---|
3234 | INTEGER(iwp) :: ibit8 !< |
---|
3235 | INTEGER(iwp) :: j !< |
---|
3236 | INTEGER(iwp) :: k !< |
---|
3237 | INTEGER(iwp) :: k_mm !< |
---|
3238 | INTEGER(iwp) :: k_pp !< |
---|
3239 | INTEGER(iwp) :: k_ppp !< |
---|
3240 | INTEGER(iwp) :: tn = 0 !< |
---|
3241 | |
---|
3242 | #if defined( __nopointer ) |
---|
3243 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk !< |
---|
3244 | #else |
---|
3245 | REAL(wp), DIMENSION(:,:,:), POINTER :: sk !< |
---|
3246 | #endif |
---|
3247 | |
---|
3248 | REAL(wp) :: diss_d !< |
---|
3249 | REAL(wp) :: div !< |
---|
3250 | REAL(wp) :: flux_d !< |
---|
3251 | REAL(wp) :: u_comp !< |
---|
3252 | REAL(wp) :: v_comp !< |
---|
3253 | |
---|
3254 | REAL(wp), DIMENSION(nzb:nzt) :: diss_n !< |
---|
3255 | REAL(wp), DIMENSION(nzb:nzt) :: diss_r !< |
---|
3256 | REAL(wp), DIMENSION(nzb:nzt) :: diss_t !< |
---|
3257 | REAL(wp), DIMENSION(nzb:nzt) :: flux_n !< |
---|
3258 | REAL(wp), DIMENSION(nzb:nzt) :: flux_r !< |
---|
3259 | REAL(wp), DIMENSION(nzb:nzt) :: flux_t !< |
---|
3260 | |
---|
3261 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_diss_y_local !< |
---|
3262 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_flux_y_local !< |
---|
3263 | |
---|
3264 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local !< |
---|
3265 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local !< |
---|
3266 | |
---|
3267 | |
---|
3268 | ! |
---|
3269 | !-- Compute the fluxes for the whole left boundary of the processor domain. |
---|
3270 | i = nxl |
---|
3271 | DO j = nys, nyn |
---|
3272 | |
---|
3273 | DO k = nzb+1, nzb_max |
---|
3274 | |
---|
3275 | ibit2 = IBITS(advc_flags_1(k,j,i-1),2,1) |
---|
3276 | ibit1 = IBITS(advc_flags_1(k,j,i-1),1,1) |
---|
3277 | ibit0 = IBITS(advc_flags_1(k,j,i-1),0,1) |
---|
3278 | |
---|
3279 | u_comp = u(k,j,i) - u_gtrans + u_stokes_zu(k) |
---|
3280 | swap_flux_x_local(k,j) = u_comp * ( & |
---|
3281 | ( 37.0_wp * ibit2 * adv_sca_5 & |
---|
3282 | + 7.0_wp * ibit1 * adv_sca_3 & |
---|
3283 | + ibit0 * adv_sca_1 & |
---|
3284 | ) * & |
---|
3285 | ( sk(k,j,i) + sk(k,j,i-1) ) & |
---|
3286 | - ( 8.0_wp * ibit2 * adv_sca_5 & |
---|
3287 | + ibit1 * adv_sca_3 & |
---|
3288 | ) * & |
---|
3289 | ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
---|
3290 | + ( ibit2 * adv_sca_5 & |
---|
3291 | ) * & |
---|
3292 | ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
---|
3293 | ) |
---|
3294 | |
---|
3295 | swap_diss_x_local(k,j) = -ABS( u_comp ) * ( & |
---|
3296 | ( 10.0_wp * ibit2 * adv_sca_5 & |
---|
3297 | + 3.0_wp * ibit1 * adv_sca_3 & |
---|
3298 | + ibit0 * adv_sca_1 & |
---|
3299 | ) * & |
---|
3300 | ( sk(k,j,i) - sk(k,j,i-1) ) & |
---|
3301 | - ( 5.0_wp * ibit2 * adv_sca_5 & |
---|
3302 | + ibit1 * adv_sca_3 & |
---|
3303 | ) * & |
---|
3304 | ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
---|
3305 | + ( ibit2 * adv_sca_5 & |
---|
3306 | ) * & |
---|
3307 | ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
---|
3308 | ) |
---|
3309 | |
---|
3310 | ENDDO |
---|
3311 | |
---|
3312 | DO k = nzb_max+1, nzt |
---|
3313 | |
---|
3314 | u_comp = u(k,j,i) - u_gtrans + u_stokes_zu(k) |
---|
3315 | swap_flux_x_local(k,j) = u_comp * ( & |
---|
3316 | 37.0_wp * ( sk(k,j,i) + sk(k,j,i-1) ) & |
---|
3317 | - 8.0_wp * ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
---|
3318 | + ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
---|
3319 | ) * adv_sca_5 |
---|
3320 | |
---|
3321 | swap_diss_x_local(k,j) = -ABS( u_comp ) * ( & |
---|
3322 | 10.0_wp * ( sk(k,j,i) - sk(k,j,i-1) ) & |
---|
3323 | - 5.0_wp * ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
---|
3324 | + ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
---|
3325 | ) * adv_sca_5 |
---|
3326 | |
---|
3327 | ENDDO |
---|
3328 | |
---|
3329 | ENDDO |
---|
3330 | |
---|
3331 | DO i = nxl, nxr |
---|
3332 | |
---|
3333 | j = nys |
---|
3334 | DO k = nzb+1, nzb_max |
---|
3335 | |
---|
3336 | ibit5 = IBITS(advc_flags_1(k,j-1,i),5,1) |
---|
3337 | ibit4 = IBITS(advc_flags_1(k,j-1,i),4,1) |
---|
3338 | ibit3 = IBITS(advc_flags_1(k,j-1,i),3,1) |
---|
3339 | |
---|
3340 | v_comp = v(k,j,i) - v_gtrans + v_stokes_zu(k) |
---|
3341 | swap_flux_y_local(k) = v_comp * ( & |
---|
3342 | ( 37.0_wp * ibit5 * adv_sca_5 & |
---|
3343 | + 7.0_wp * ibit4 * adv_sca_3 & |
---|
3344 | + ibit3 * adv_sca_1 & |
---|
3345 | ) * & |
---|
3346 | ( sk(k,j,i) + sk(k,j-1,i) ) & |
---|
3347 | - ( 8.0_wp * ibit5 * adv_sca_5 & |
---|
3348 | + ibit4 * adv_sca_3 & |
---|
3349 | ) * & |
---|
3350 | ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
---|
3351 | + ( ibit5 * adv_sca_5 & |
---|
3352 | ) * & |
---|
3353 | ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
---|
3354 | ) |
---|
3355 | |
---|
3356 | swap_diss_y_local(k) = -ABS( v_comp ) * ( & |
---|
3357 | ( 10.0_wp * ibit5 * adv_sca_5 & |
---|
3358 | + 3.0_wp * ibit4 * adv_sca_3 & |
---|
3359 | + ibit3 * adv_sca_1 & |
---|
3360 | ) * & |
---|
3361 | ( sk(k,j,i) - sk(k,j-1,i) ) & |
---|
3362 | - ( 5.0_wp * ibit5 * adv_sca_5 & |
---|
3363 | + ibit4 * adv_sca_3 & |
---|
3364 | ) * & |
---|
3365 | ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
---|
3366 | + ( ibit5 * adv_sca_5 & |
---|
3367 | ) * & |
---|
3368 | ( sk(k,j+2,i) - sk(k,j-3,i) ) & |
---|
3369 | ) |
---|
3370 | |
---|
3371 | ENDDO |
---|
3372 | ! |
---|
3373 | !-- Above to the top of the highest topography. No degradation necessary. |
---|
3374 | DO k = nzb_max+1, nzt |
---|
3375 | |
---|
3376 | v_comp = v(k,j,i) - v_gtrans + v_stokes_zu(k) |
---|
3377 | swap_flux_y_local(k) = v_comp * ( & |
---|
3378 | 37.0_wp * ( sk(k,j,i) + sk(k,j-1,i) ) & |
---|
3379 | - 8.0_wp * ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
---|
3380 | + ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
---|
3381 | ) * adv_sca_5 |
---|
3382 | swap_diss_y_local(k) = -ABS( v_comp ) * ( & |
---|
3383 | 10.0_wp * ( sk(k,j,i) - sk(k,j-1,i) ) & |
---|
3384 | - 5.0_wp * ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
---|
3385 | + sk(k,j+2,i) - sk(k,j-3,i) & |
---|
3386 | ) * adv_sca_5 |
---|
3387 | |
---|
3388 | ENDDO |
---|
3389 | |
---|
3390 | DO j = nys, nyn |
---|
3391 | |
---|
3392 | flux_t(0) = 0.0_wp |
---|
3393 | diss_t(0) = 0.0_wp |
---|
3394 | flux_d = 0.0_wp |
---|
3395 | diss_d = 0.0_wp |
---|
3396 | |
---|
3397 | DO k = nzb+1, nzb_max |
---|
3398 | |
---|
3399 | ibit2 = IBITS(advc_flags_1(k,j,i),2,1) |
---|
3400 | ibit1 = IBITS(advc_flags_1(k,j,i),1,1) |
---|
3401 | ibit0 = IBITS(advc_flags_1(k,j,i),0,1) |
---|
3402 | |
---|
3403 | u_comp = u(k,j,i+1) - u_gtrans + u_stokes_zu(k) |
---|
3404 | flux_r(k) = u_comp * ( & |
---|
3405 | ( 37.0_wp * ibit2 * adv_sca_5 & |
---|
3406 | + 7.0_wp * ibit1 * adv_sca_3 & |
---|
3407 | + ibit0 * adv_sca_1 & |
---|
3408 | ) * & |
---|
3409 | ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
3410 | - ( 8.0_wp * ibit2 * adv_sca_5 & |
---|
3411 | + ibit1 * adv_sca_3 & |
---|
3412 | ) * & |
---|
3413 | ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
---|
3414 | + ( ibit2 * adv_sca_5 & |
---|
3415 | ) * & |
---|
3416 | ( sk(k,j,i+3) + sk(k,j,i-2) ) & |
---|
3417 | ) |
---|
3418 | |
---|
3419 | diss_r(k) = -ABS( u_comp ) * ( & |
---|
3420 | ( 10.0_wp * ibit2 * adv_sca_5 & |
---|
3421 | + 3.0_wp * ibit1 * adv_sca_3 & |
---|
3422 | + ibit0 * adv_sca_1 & |
---|
3423 | ) * & |
---|
3424 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
3425 | - ( 5.0_wp * ibit2 * adv_sca_5 & |
---|
3426 | + ibit1 * adv_sca_3 & |
---|
3427 | ) * & |
---|
3428 | ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
---|
3429 | + ( ibit2 * adv_sca_5 & |
---|
3430 | ) * & |
---|
3431 | ( sk(k,j,i+3) - sk(k,j,i-2) ) & |
---|
3432 | ) |
---|
3433 | |
---|
3434 | ibit5 = IBITS(advc_flags_1(k,j,i),5,1) |
---|
3435 | ibit4 = IBITS(advc_flags_1(k,j,i),4,1) |
---|
3436 | ibit3 = IBITS(advc_flags_1(k,j,i),3,1) |
---|
3437 | |
---|
3438 | v_comp = v(k,j+1,i) - v_gtrans + v_stokes_zu(k) |
---|
3439 | flux_n(k) = v_comp * ( & |
---|
3440 | ( 37.0_wp * ibit5 * adv_sca_5 & |
---|
3441 | + 7.0_wp * ibit4 * adv_sca_3 & |
---|
3442 | + ibit3 * adv_sca_1 & |
---|
3443 | ) * & |
---|
3444 | ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
3445 | - ( 8.0_wp * ibit5 * adv_sca_5 & |
---|
3446 | + ibit4 * adv_sca_3 & |
---|
3447 | ) * & |
---|
3448 | ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
---|
3449 | + ( ibit5 * adv_sca_5 & |
---|
3450 | ) * & |
---|
3451 | ( sk(k,j+3,i) + sk(k,j-2,i) ) & |
---|
3452 | ) |
---|
3453 | |
---|
3454 | diss_n(k) = -ABS( v_comp ) * ( & |
---|
3455 | ( 10.0_wp * ibit5 * adv_sca_5 & |
---|
3456 | + 3.0_wp * ibit4 * adv_sca_3 & |
---|
3457 | + ibit3 * adv_sca_1 & |
---|
3458 | ) * & |
---|
3459 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
3460 | - ( 5.0_wp * ibit5 * adv_sca_5 & |
---|
3461 | + ibit4 * adv_sca_3 & |
---|
3462 | ) * & |
---|
3463 | ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
---|
3464 | + ( ibit5 * adv_sca_5 & |
---|
3465 | ) * & |
---|
3466 | ( sk(k,j+3,i) - sk(k,j-2,i) ) & |
---|
3467 | ) |
---|
3468 | ! |
---|
3469 | !-- k index has to be modified near bottom and top, else array |
---|
3470 | !-- subscripts will be exceeded. |
---|
3471 | ibit8 = IBITS(advc_flags_1(k,j,i),8,1) |
---|
3472 | ibit7 = IBITS(advc_flags_1(k,j,i),7,1) |
---|
3473 | ibit6 = IBITS(advc_flags_1(k,j,i),6,1) |
---|
3474 | |
---|
3475 | k_ppp = k + 3 * ibit8 |
---|
3476 | k_pp = k + 2 * ( 1 - ibit6 ) |
---|
3477 | k_mm = k - 2 * ibit8 |
---|
3478 | |
---|
3479 | |
---|
3480 | flux_t(k) = w(k,j,i) * rho_air_zw(k) * ( & |
---|
3481 | ( 37.0_wp * ibit8 * adv_sca_5 & |
---|
3482 | + 7.0_wp * ibit7 * adv_sca_3 & |
---|
3483 | + ibit6 * adv_sca_1 & |
---|
3484 | ) * & |
---|
3485 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
---|
3486 | - ( 8.0_wp * ibit8 * adv_sca_5 & |
---|
3487 | + ibit7 * adv_sca_3 & |
---|
3488 | ) * & |
---|
3489 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
---|
3490 | + ( ibit8 * adv_sca_5 & |
---|
3491 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
---|
3492 | ) |
---|
3493 | |
---|
3494 | diss_t(k) = -ABS( w(k,j,i) ) * rho_air_zw(k) * ( & |
---|
3495 | ( 10.0_wp * ibit8 * adv_sca_5 & |
---|
3496 | + 3.0_wp * ibit7 * adv_sca_3 & |
---|
3497 | + ibit6 * adv_sca_1 & |
---|
3498 | ) * & |
---|
3499 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
---|
3500 | - ( 5.0_wp * ibit8 * adv_sca_5 & |
---|
3501 | + ibit7 * adv_sca_3 & |
---|
3502 | ) * & |
---|
3503 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
---|
3504 | + ( ibit8 * adv_sca_5 & |
---|
3505 | ) * & |
---|
3506 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
---|
3507 | ) |
---|
3508 | ! |
---|
3509 | !-- Calculate the divergence of the velocity field. A respective |
---|
3510 | !-- correction is needed to overcome numerical instabilities caused |
---|
3511 | !-- by a not sufficient reduction of divergences near topography. |
---|
3512 | div = ( u(k,j,i+1) * ( ibit0 + ibit1 + ibit2 ) & |
---|
3513 | - u(k,j,i) * ( IBITS(advc_flags_1(k,j,i-1),0,1) & |
---|
3514 | + IBITS(advc_flags_1(k,j,i-1),1,1) & |
---|
3515 | + IBITS(advc_flags_1(k,j,i-1),2,1) & |
---|
3516 | ) & |
---|
3517 | ) * ddx & |
---|
3518 | + ( v(k,j+1,i) * ( ibit3 + ibit4 + ibit5 ) & |
---|
3519 | - v(k,j,i) * ( IBITS(advc_flags_1(k,j-1,i),3,1) & |
---|
3520 | + IBITS(advc_flags_1(k,j-1,i),4,1) & |
---|
3521 | + IBITS(advc_flags_1(k,j-1,i),5,1) & |
---|
3522 | ) & |
---|
3523 | ) * ddy & |
---|
3524 | + ( w(k,j,i) * rho_air_zw(k) * & |
---|
3525 | ( ibit6 + ibit7 + ibit8 ) & |
---|
3526 | - w(k-1,j,i) * rho_air_zw(k-1) * & |
---|
3527 | ( IBITS(advc_flags_1(k-1,j,i),6,1) & |
---|
3528 | + IBITS(advc_flags_1(k-1,j,i),7,1) & |
---|
3529 | + IBITS(advc_flags_1(k-1,j,i),8,1) & |
---|
3530 | ) & |
---|
3531 | ) * drho_air(k) * ddzw(k) |
---|
3532 | |
---|
3533 | |
---|
3534 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
3535 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j) - & |
---|
3536 | swap_diss_x_local(k,j) ) * ddx & |
---|
3537 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k) - & |
---|
3538 | swap_diss_y_local(k) ) * ddy & |
---|
3539 | + ( ( flux_t(k) + diss_t(k) ) - & |
---|
3540 | ( flux_d + diss_d ) & |
---|
3541 | ) * drho_air(k) * ddzw(k) & |
---|
3542 | ) + sk(k,j,i) * div |
---|
3543 | |
---|
3544 | swap_flux_y_local(k) = flux_n(k) |
---|
3545 | swap_diss_y_local(k) = diss_n(k) |
---|
3546 | swap_flux_x_local(k,j) = flux_r(k) |
---|
3547 | swap_diss_x_local(k,j) = diss_r(k) |
---|
3548 | flux_d = flux_t(k) |
---|
3549 | diss_d = diss_t(k) |
---|
3550 | |
---|
3551 | ENDDO |
---|
3552 | |
---|
3553 | DO k = nzb_max+1, nzt |
---|
3554 | |
---|
3555 | u_comp = u(k,j,i+1) - u_gtrans + u_stokes_zu(k) |
---|
3556 | flux_r(k) = u_comp * ( & |
---|
3557 | 37.0_wp * ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
3558 | - 8.0_wp * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
---|
3559 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) * adv_sca_5 |
---|
3560 | diss_r(k) = -ABS( u_comp ) * ( & |
---|
3561 | 10.0_wp * ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
3562 | - 5.0_wp * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
---|
3563 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) * adv_sca_5 |
---|
3564 | |
---|
3565 | v_comp = v(k,j+1,i) - v_gtrans + v_stokes_zu(k) |
---|
3566 | flux_n(k) = v_comp * ( & |
---|
3567 | 37.0_wp * ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
3568 | - 8.0_wp * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
---|
3569 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) * adv_sca_5 |
---|
3570 | diss_n(k) = -ABS( v_comp ) * ( & |
---|
3571 | 10.0_wp * ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
3572 | - 5.0_wp * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
---|
3573 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) * adv_sca_5 |
---|
3574 | ! |
---|
3575 | !-- k index has to be modified near bottom and top, else array |
---|
3576 | !-- subscripts will be exceeded. |
---|
3577 | ibit8 = IBITS(advc_flags_1(k,j,i),8,1) |
---|
3578 | ibit7 = IBITS(advc_flags_1(k,j,i),7,1) |
---|
3579 | ibit6 = IBITS(advc_flags_1(k,j,i),6,1) |
---|
3580 | |
---|
3581 | k_ppp = k + 3 * ibit8 |
---|
3582 | k_pp = k + 2 * ( 1 - ibit6 ) |
---|
3583 | k_mm = k - 2 * ibit8 |
---|
3584 | |
---|
3585 | |
---|
3586 | flux_t(k) = w(k,j,i) * rho_air_zw(k) * ( & |
---|
3587 | ( 37.0_wp * ibit8 * adv_sca_5 & |
---|
3588 | + 7.0_wp * ibit7 * adv_sca_3 & |
---|
3589 | + ibit6 * adv_sca_1 & |
---|
3590 | ) * & |
---|
3591 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
---|
3592 | - ( 8.0_wp * ibit8 * adv_sca_5 & |
---|
3593 | + ibit7 * adv_sca_3 & |
---|
3594 | ) * & |
---|
3595 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
---|
3596 | + ( ibit8 * adv_sca_5 & |
---|
3597 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
---|
3598 | ) |
---|
3599 | |
---|
3600 | diss_t(k) = -ABS( w(k,j,i) ) * rho_air_zw(k) * ( & |
---|
3601 | ( 10.0_wp * ibit8 * adv_sca_5 & |
---|
3602 | + 3.0_wp * ibit7 * adv_sca_3 & |
---|
3603 | + ibit6 * adv_sca_1 & |
---|
3604 | ) * & |
---|
3605 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
---|
3606 | - ( 5.0_wp * ibit8 * adv_sca_5 & |
---|
3607 | + ibit7 * adv_sca_3 & |
---|
3608 | ) * & |
---|
3609 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
---|
3610 | + ( ibit8 * adv_sca_5 & |
---|
3611 | ) * & |
---|
3612 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
---|
3613 | ) |
---|
3614 | ! |
---|
3615 | !-- Calculate the divergence of the velocity field. A respective |
---|
3616 | !-- correction is needed to overcome numerical instabilities introduced |
---|
3617 | !-- by a not sufficient reduction of divergences near topography. |
---|
3618 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
---|
3619 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
---|
3620 | + ( w(k,j,i) * rho_air_zw(k) - & |
---|
3621 | w(k-1,j,i) * rho_air_zw(k-1) & |
---|
3622 | ) * drho_air(k) * ddzw(k) |
---|
3623 | |
---|
3624 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
3625 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j) - & |
---|
3626 | swap_diss_x_local(k,j) ) * ddx & |
---|
3627 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k) - & |
---|
3628 | swap_diss_y_local(k) ) * ddy & |
---|
3629 | + ( ( flux_t(k) + diss_t(k) ) - & |
---|
3630 | ( flux_d + diss_d ) & |
---|
3631 | ) * drho_air(k) * ddzw(k) & |
---|
3632 | ) + sk(k,j,i) * div |
---|
3633 | |
---|
3634 | swap_flux_y_local(k) = flux_n(k) |
---|
3635 | swap_diss_y_local(k) = diss_n(k) |
---|
3636 | swap_flux_x_local(k,j) = flux_r(k) |
---|
3637 | swap_diss_x_local(k,j) = diss_r(k) |
---|
3638 | flux_d = flux_t(k) |
---|
3639 | diss_d = diss_t(k) |
---|
3640 | |
---|
3641 | ENDDO |
---|
3642 | ! |
---|
3643 | !-- Evaluation of statistics. |
---|
3644 | SELECT CASE ( sk_char ) |
---|
3645 | |
---|
3646 | CASE ( 'pt' ) |
---|
3647 | DO k = nzb, nzt |
---|
3648 | sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) & |
---|
3649 | + ( flux_t(k) & |
---|
3650 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
3651 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
3652 | + diss_t(k) & |
---|
3653 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
3654 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
---|
3655 | ) * weight_substep(intermediate_timestep_count) |
---|
3656 | ENDDO |
---|
3657 | CASE ( 'sa' ) |
---|
3658 | DO k = nzb, nzt |
---|
3659 | sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) & |
---|
3660 | + ( flux_t(k) & |
---|
3661 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
3662 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
3663 | + diss_t(k) & |
---|
3664 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
3665 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
---|
3666 | ) * weight_substep(intermediate_timestep_count) |
---|
3667 | ENDDO |
---|
3668 | CASE ( 'q' ) |
---|
3669 | DO k = nzb, nzt |
---|
3670 | sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) & |
---|
3671 | + ( flux_t(k) & |
---|
3672 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
3673 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
3674 | + diss_t(k) & |
---|
3675 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
3676 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
---|
3677 | ) * weight_substep(intermediate_timestep_count) |
---|
3678 | ENDDO |
---|
3679 | CASE ( 'qc' ) |
---|
3680 | DO k = nzb, nzt |
---|
3681 | sums_wsqcs_ws_l(k,tn) = sums_wsqcs_ws_l(k,tn) & |
---|
3682 | + ( flux_t(k) & |
---|
3683 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
3684 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
3685 | + diss_t(k) & |
---|
3686 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
3687 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
---|
3688 | ) * weight_substep(intermediate_timestep_count) |
---|
3689 | ENDDO |
---|
3690 | CASE ( 'qr' ) |
---|
3691 | DO k = nzb, nzt |
---|
3692 | sums_wsqrs_ws_l(k,tn) = sums_wsqrs_ws_l(k,tn) & |
---|
3693 | + ( flux_t(k) & |
---|
3694 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
3695 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
3696 | + diss_t(k) & |
---|
3697 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
3698 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
---|
3699 | ) * weight_substep(intermediate_timestep_count) |
---|
3700 | ENDDO |
---|
3701 | CASE ( 'nc' ) |
---|
3702 | DO k = nzb, nzt |
---|
3703 | sums_wsncs_ws_l(k,tn) = sums_wsncs_ws_l(k,tn) & |
---|
3704 | + ( flux_t(k) & |
---|
3705 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
3706 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
3707 | + diss_t(k) & |
---|
3708 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
3709 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
---|
3710 | ) * weight_substep(intermediate_timestep_count) |
---|
3711 | ENDDO |
---|
3712 | CASE ( 'nr' ) |
---|
3713 | DO k = nzb, nzt |
---|
3714 | sums_wsnrs_ws_l(k,tn) = sums_wsnrs_ws_l(k,tn) & |
---|
3715 | + ( flux_t(k) & |
---|
3716 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
3717 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
3718 | + diss_t(k) & |
---|
3719 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
3720 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
---|
3721 | ) * weight_substep(intermediate_timestep_count) |
---|
3722 | ENDDO |
---|
3723 | CASE ( 's' ) |
---|
3724 | DO k = nzb, nzt |
---|
3725 | sums_wsss_ws_l(k,tn) = sums_wsss_ws_l(k,tn) & |
---|
3726 | + ( flux_t(k) & |
---|
3727 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
---|
3728 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
---|
3729 | + diss_t(k) & |
---|
3730 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
---|
3731 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
---|
3732 | ) * weight_substep(intermediate_timestep_count) |
---|
3733 | ENDDO |
---|
3734 | |
---|
3735 | |
---|
3736 | END SELECT |
---|
3737 | |
---|
3738 | ENDDO |
---|
3739 | ENDDO |
---|
3740 | |
---|
3741 | END SUBROUTINE advec_s_ws |
---|
3742 | |
---|
3743 | |
---|
3744 | !------------------------------------------------------------------------------! |
---|
3745 | ! Description: |
---|
3746 | ! ------------ |
---|
3747 | !> Advection of u - Call for all grid points |
---|
3748 | !------------------------------------------------------------------------------! |
---|
3749 | SUBROUTINE advec_u_ws |
---|
3750 | |
---|
3751 | USE arrays_3d, & |
---|
3752 | ONLY: ddzw, drho_air, tend, u, v, w, rho_air_zw |
---|
3753 | |
---|
3754 | USE control_parameters, & |
---|
3755 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
---|
3756 | |
---|
3757 | USE grid_variables, & |
---|
3758 | ONLY: ddx, ddy |
---|
3759 | |
---|
3760 | USE indices, & |
---|
3761 | ONLY: nxlu, nxr, nyn, nys, nzb, nzb_max, nzt, advc_flags_1 |
---|
3762 | |
---|
3763 | USE kinds |
---|
3764 | |
---|
3765 | USE statistics, & |
---|
3766 | ONLY: hom, sums_us2_ws_l, sums_wsus_ws_l, weight_substep |
---|
3767 | |
---|
3768 | IMPLICIT NONE |
---|
3769 | |
---|
3770 | INTEGER(iwp) :: i !< |
---|
3771 | INTEGER(iwp) :: ibit9 !< |
---|
3772 | INTEGER(iwp) :: ibit10 !< |
---|
3773 | INTEGER(iwp) :: ibit11 !< |
---|
3774 | INTEGER(iwp) :: ibit12 !< |
---|
3775 | INTEGER(iwp) :: ibit13 !< |
---|
3776 | INTEGER(iwp) :: ibit14 !< |
---|
3777 | INTEGER(iwp) :: ibit15 !< |
---|
3778 | INTEGER(iwp) :: ibit16 !< |
---|
3779 | INTEGER(iwp) :: ibit17 !< |
---|
3780 | INTEGER(iwp) :: j !< |
---|
3781 | INTEGER(iwp) :: k !< |
---|
3782 | INTEGER(iwp) :: k_mm !< |
---|
3783 | INTEGER(iwp) :: k_pp !< |
---|
3784 | INTEGER(iwp) :: k_ppp !< |
---|
3785 | INTEGER(iwp) :: tn = 0 !< |
---|
3786 | |
---|
3787 | REAL(wp) :: diss_d !< |
---|
3788 | REAL(wp) :: div !< |
---|
3789 | REAL(wp) :: flux_d !< |
---|
3790 | REAL(wp) :: gu !< |
---|
3791 | REAL(wp) :: gv !< |
---|
3792 | REAL(wp) :: v_comp !< |
---|
3793 | REAL(wp) :: w_comp !< |
---|
3794 | |
---|
3795 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_diss_y_local_u !< |
---|
3796 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_flux_y_local_u !< |
---|
3797 | |
---|
3798 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_u !< |
---|
3799 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local_u !< |
---|
3800 | |
---|
3801 | REAL(wp), DIMENSION(nzb:nzt) :: diss_n !< |
---|
3802 | REAL(wp), DIMENSION(nzb:nzt) :: diss_r !< |
---|
3803 | REAL(wp), DIMENSION(nzb:nzt) :: diss_t !< |
---|
3804 | REAL(wp), DIMENSION(nzb:nzt) :: flux_n !< |
---|
3805 | REAL(wp), DIMENSION(nzb:nzt) :: flux_r !< |
---|
3806 | REAL(wp), DIMENSION(nzb:nzt) :: flux_t !< |
---|
3807 | REAL(wp), DIMENSION(nzb:nzt) :: u_comp !< |
---|
3808 | |
---|
3809 | gu = 2.0_wp * u_gtrans |
---|
3810 | gv = 2.0_wp * v_gtrans |
---|
3811 | |
---|
3812 | ! |
---|
3813 | !-- Compute the fluxes for the whole left boundary of the processor domain. |
---|
3814 | i = nxlu |
---|
3815 | DO j = nys, nyn |
---|
3816 | DO k = nzb+1, nzb_max |
---|
3817 | |
---|
3818 | ibit11 = IBITS(advc_flags_1(k,j,i-1),11,1) |
---|
3819 | ibit10 = IBITS(advc_flags_1(k,j,i-1),10,1) |
---|
3820 | ibit9 = IBITS(advc_flags_1(k,j,i-1),9,1) |
---|
3821 | |
---|
3822 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
---|
3823 | swap_flux_x_local_u(k,j) = u_comp(k) * ( & |
---|
3824 | ( 37.0_wp * ibit11 * adv_mom_5 & |
---|
3825 | + 7.0_wp * ibit10 * adv_mom_3 & |
---|
3826 | + ibit9 * adv_mom_1 & |
---|
3827 | ) * & |
---|
3828 | ( u(k,j,i) + u(k,j,i-1) ) & |
---|
3829 | - ( 8.0_wp * ibit11 * adv_mom_5 & |
---|
3830 | + ibit10 * adv_mom_3 & |
---|
3831 | ) * & |
---|
3832 | ( u(k,j,i+1) + u(k,j,i-2) ) & |
---|
3833 | + ( ibit11 * adv_mom_5 & |
---|
3834 | ) * & |
---|
3835 | ( u(k,j,i+2) + u(k,j,i-3) ) & |
---|
3836 | ) |
---|
3837 | |
---|
3838 | swap_diss_x_local_u(k,j) = - ABS( u_comp(k) ) * ( & |
---|
3839 | ( 10.0_wp * ibit11 * adv_mom_5 & |
---|
3840 | + 3.0_wp * ibit10 * adv_mom_3 & |
---|
3841 | + ibit9 * adv_mom_1 & |
---|
3842 | ) * & |
---|
3843 | ( u(k,j,i) - u(k,j,i-1) ) & |
---|
3844 | - ( 5.0_wp * ibit11 * adv_mom_5 & |
---|
3845 | + ibit10 * adv_mom_3 & |
---|
3846 | ) * & |
---|
3847 | ( u(k,j,i+1) - u(k,j,i-2) ) & |
---|
3848 | + ( ibit11 * adv_mom_5 & |
---|
3849 | ) * & |
---|
3850 | ( u(k,j,i+2) - u(k,j,i-3) ) & |
---|
3851 | ) |
---|
3852 | |
---|
3853 | ENDDO |
---|
3854 | |
---|
3855 | DO k = nzb_max+1, nzt |
---|
3856 | |
---|
3857 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
---|
3858 | swap_flux_x_local_u(k,j) = u_comp(k) * ( & |
---|
3859 | 37.0_wp * ( u(k,j,i) + u(k,j,i-1) ) & |
---|
3860 | - 8.0_wp * ( u(k,j,i+1) + u(k,j,i-2) ) & |
---|
3861 | + ( u(k,j,i+2) + u(k,j,i-3) ) ) * adv_mom_5 |
---|
3862 | swap_diss_x_local_u(k,j) = - ABS(u_comp(k)) * ( & |
---|
3863 | 10.0_wp * ( u(k,j,i) - u(k,j,i-1) ) & |
---|
3864 | - 5.0_wp * ( u(k,j,i+1) - u(k,j,i-2) ) & |
---|
3865 | + ( u(k,j,i+2) - u(k,j,i-3) ) ) * adv_mom_5 |
---|
3866 | |
---|
3867 | ENDDO |
---|
3868 | ENDDO |
---|
3869 | |
---|
3870 | DO i = nxlu, nxr |
---|
3871 | ! |
---|
3872 | !-- The following loop computes the fluxes for the south boundary points |
---|
3873 | j = nys |
---|
3874 | DO k = nzb+1, nzb_max |
---|
3875 | |
---|
3876 | ibit14 = IBITS(advc_flags_1(k,j-1,i),14,1) |
---|
3877 | ibit13 = IBITS(advc_flags_1(k,j-1,i),13,1) |
---|
3878 | ibit12 = IBITS(advc_flags_1(k,j-1,i),12,1) |
---|
3879 | |
---|
3880 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
---|
3881 | swap_flux_y_local_u(k) = v_comp * ( & |
---|
3882 | ( 37.0_wp * ibit14 * adv_mom_5 & |
---|
3883 | + 7.0_wp * ibit13 * adv_mom_3 & |
---|
3884 | + ibit12 * adv_mom_1 & |
---|
3885 | ) * & |
---|
3886 | ( u(k,j,i) + u(k,j-1,i) ) & |
---|
3887 | - ( 8.0_wp * ibit14 * adv_mom_5 & |
---|
3888 | + ibit13 * adv_mom_3 & |
---|
3889 | ) * & |
---|
3890 | ( u(k,j+1,i) + u(k,j-2,i) ) & |
---|
3891 | + ( ibit14 * adv_mom_5 & |
---|
3892 | ) * & |
---|
3893 | ( u(k,j+2,i) + u(k,j-3,i) ) & |
---|
3894 | ) |
---|
3895 | |
---|
3896 | swap_diss_y_local_u(k) = - ABS ( v_comp ) * ( & |
---|
3897 | ( 10.0_wp * ibit14 * adv_mom_5 & |
---|
3898 | + 3.0_wp * ibit13 * adv_mom_3 & |
---|
3899 | + ibit12 * adv_mom_1 & |
---|
3900 | ) * & |
---|
3901 | ( u(k,j,i) - u(k,j-1,i) ) & |
---|
3902 | - ( 5.0_wp * ibit14 * adv_mom_5 & |
---|
3903 | + ibit13 * adv_mom_3 & |
---|
3904 | ) * & |
---|
3905 | ( u(k,j+1,i) - u(k,j-2,i) ) & |
---|
3906 | + ( ibit14 * adv_mom_5 & |
---|
3907 | ) * & |
---|
3908 | ( u(k,j+2,i) - u(k,j-3,i) ) & |
---|
3909 | ) |
---|
3910 | |
---|
3911 | ENDDO |
---|
3912 | |
---|
3913 | DO k = nzb_max+1, nzt |
---|
3914 | |
---|
3915 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
---|
3916 | swap_flux_y_local_u(k) = v_comp * ( & |
---|
3917 | 37.0_wp * ( u(k,j,i) + u(k,j-1,i) ) & |
---|
3918 | - 8.0_wp * ( u(k,j+1,i) + u(k,j-2,i) ) & |
---|
3919 | + ( u(k,j+2,i) + u(k,j-3,i) ) ) * adv_mom_5 |
---|
3920 | swap_diss_y_local_u(k) = - ABS(v_comp) * ( & |
---|
3921 | 10.0_wp * ( u(k,j,i) - u(k,j-1,i) ) & |
---|
3922 | - 5.0_wp * ( u(k,j+1,i) - u(k,j-2,i) ) & |
---|
3923 | + ( u(k,j+2,i) - u(k,j-3,i) ) ) * adv_mom_5 |
---|
3924 | |
---|
3925 | ENDDO |
---|
3926 | ! |
---|
3927 | !-- Computation of interior fluxes and tendency terms |
---|
3928 | DO j = nys, nyn |
---|
3929 | |
---|
3930 | flux_t(0) = 0.0_wp |
---|
3931 | diss_t(0) = 0.0_wp |
---|
3932 | flux_d = 0.0_wp |
---|
3933 | diss_d = 0.0_wp |
---|
3934 | |
---|
3935 | DO k = nzb+1, nzb_max |
---|
3936 | |
---|
3937 | ibit11 = IBITS(advc_flags_1(k,j,i),11,1) |
---|
3938 | ibit10 = IBITS(advc_flags_1(k,j,i),10,1) |
---|
3939 | ibit9 = IBITS(advc_flags_1(k,j,i),9,1) |
---|
3940 | |
---|
3941 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
3942 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
3943 | ( 37.0_wp * ibit11 * adv_mom_5 & |
---|
3944 | + 7.0_wp * ibit10 * adv_mom_3 & |
---|
3945 | + ibit9 * adv_mom_1 & |
---|
3946 | ) * & |
---|
3947 | ( u(k,j,i+1) + u(k,j,i) ) & |
---|
3948 | - ( 8.0_wp * ibit11 * adv_mom_5 & |
---|
3949 | + ibit10 * adv_mom_3 & |
---|
3950 | ) * & |
---|
3951 | ( u(k,j,i+2) + u(k,j,i-1) ) & |
---|
3952 | + ( ibit11 * adv_mom_5 & |
---|
3953 | ) * & |
---|
3954 | ( u(k,j,i+3) + u(k,j,i-2) ) & |
---|
3955 | ) |
---|
3956 | |
---|
3957 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
3958 | ( 10.0_wp * ibit11 * adv_mom_5 & |
---|
3959 | + 3.0_wp * ibit10 * adv_mom_3 & |
---|
3960 | + ibit9 * adv_mom_1 & |
---|
3961 | ) * & |
---|
3962 | ( u(k,j,i+1) - u(k,j,i) ) & |
---|
3963 | - ( 5.0_wp * ibit11 * adv_mom_5 & |
---|
3964 | + ibit10 * adv_mom_3 & |
---|
3965 | ) * & |
---|
3966 | ( u(k,j,i+2) - u(k,j,i-1) ) & |
---|
3967 | + ( ibit11 * adv_mom_5 & |
---|
3968 | ) * & |
---|
3969 | ( u(k,j,i+3) - u(k,j,i-2) ) & |
---|
3970 | ) |
---|
3971 | |
---|
3972 | ibit14 = IBITS(advc_flags_1(k,j,i),14,1) |
---|
3973 | ibit13 = IBITS(advc_flags_1(k,j,i),13,1) |
---|
3974 | ibit12 = IBITS(advc_flags_1(k,j,i),12,1) |
---|
3975 | |
---|
3976 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
3977 | flux_n(k) = v_comp * ( & |
---|
3978 | ( 37.0_wp * ibit14 * adv_mom_5 & |
---|
3979 | + 7.0_wp * ibit13 * adv_mom_3 & |
---|
3980 | + ibit12 * adv_mom_1 & |
---|
3981 | ) * & |
---|
3982 | ( u(k,j+1,i) + u(k,j,i) ) & |
---|
3983 | - ( 8.0_wp * ibit14 * adv_mom_5 & |
---|
3984 | + ibit13 * adv_mom_3 & |
---|
3985 | ) * & |
---|
3986 | ( u(k,j+2,i) + u(k,j-1,i) ) & |
---|
3987 | + ( ibit14 * adv_mom_5 & |
---|
3988 | ) * & |
---|
3989 | ( u(k,j+3,i) + u(k,j-2,i) ) & |
---|
3990 | ) |
---|
3991 | |
---|
3992 | diss_n(k) = - ABS ( v_comp ) * ( & |
---|
3993 | ( 10.0_wp * ibit14 * adv_mom_5 & |
---|
3994 | + 3.0_wp * ibit13 * adv_mom_3 & |
---|
3995 | + ibit12 * adv_mom_1 & |
---|
3996 | ) * & |
---|
3997 | ( u(k,j+1,i) - u(k,j,i) ) & |
---|
3998 | - ( 5.0_wp * ibit14 * adv_mom_5 & |
---|
3999 | + ibit13 * adv_mom_3 & |
---|
4000 | ) * & |
---|
4001 | ( u(k,j+2,i) - u(k,j-1,i) ) & |
---|
4002 | + ( ibit14 * adv_mom_5 & |
---|
4003 | ) * & |
---|
4004 | ( u(k,j+3,i) - u(k,j-2,i) ) & |
---|
4005 | ) |
---|
4006 | ! |
---|
4007 | !-- k index has to be modified near bottom and top, else array |
---|
4008 | !-- subscripts will be exceeded. |
---|
4009 | ibit17 = IBITS(advc_flags_1(k,j,i),17,1) |
---|
4010 | ibit16 = IBITS(advc_flags_1(k,j,i),16,1) |
---|
4011 | ibit15 = IBITS(advc_flags_1(k,j,i),15,1) |
---|
4012 | |
---|
4013 | k_ppp = k + 3 * ibit17 |
---|
4014 | k_pp = k + 2 * ( 1 - ibit15 ) |
---|
4015 | k_mm = k - 2 * ibit17 |
---|
4016 | |
---|
4017 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
4018 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
---|
4019 | ( 37.0_wp * ibit17 * adv_mom_5 & |
---|
4020 | + 7.0_wp * ibit16 * adv_mom_3 & |
---|
4021 | + ibit15 * adv_mom_1 & |
---|
4022 | ) * & |
---|
4023 | ( u(k+1,j,i) + u(k,j,i) ) & |
---|
4024 | - ( 8.0_wp * ibit17 * adv_mom_5 & |
---|
4025 | + ibit16 * adv_mom_3 & |
---|
4026 | ) * & |
---|
4027 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
---|
4028 | + ( ibit17 * adv_mom_5 & |
---|
4029 | ) * & |
---|
4030 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
---|
4031 | ) |
---|
4032 | |
---|
4033 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
---|
4034 | ( 10.0_wp * ibit17 * adv_mom_5 & |
---|
4035 | + 3.0_wp * ibit16 * adv_mom_3 & |
---|
4036 | + ibit15 * adv_mom_1 & |
---|
4037 | ) * & |
---|
4038 | ( u(k+1,j,i) - u(k,j,i) ) & |
---|
4039 | - ( 5.0_wp * ibit17 * adv_mom_5 & |
---|
4040 | + ibit16 * adv_mom_3 & |
---|
4041 | ) * & |
---|
4042 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
---|
4043 | + ( ibit17 * adv_mom_5 & |
---|
4044 | ) * & |
---|
4045 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
---|
4046 | ) |
---|
4047 | ! |
---|
4048 | !-- Calculate the divergence of the velocity field. A respective |
---|
4049 | !-- correction is needed to overcome numerical instabilities caused |
---|
4050 | !-- by a not sufficient reduction of divergences near topography. |
---|
4051 | div = ( ( u_comp(k) * ( ibit9 + ibit10 + ibit11 ) & |
---|
4052 | - ( u(k,j,i) + u(k,j,i-1) ) & |
---|
4053 | * ( IBITS(advc_flags_1(k,j,i-1),9,1) & |
---|
4054 | + IBITS(advc_flags_1(k,j,i-1),10,1) & |
---|
4055 | + IBITS(advc_flags_1(k,j,i-1),11,1) & |
---|
4056 | ) & |
---|
4057 | ) * ddx & |
---|
4058 | + ( ( v_comp + gv ) * ( ibit12 + ibit13 + ibit14 ) & |
---|
4059 | - ( v(k,j,i) + v(k,j,i-1 ) ) & |
---|
4060 | * ( IBITS(advc_flags_1(k,j-1,i),12,1) & |
---|
4061 | + IBITS(advc_flags_1(k,j-1,i),13,1) & |
---|
4062 | + IBITS(advc_flags_1(k,j-1,i),14,1) & |
---|
4063 | ) & |
---|
4064 | ) * ddy & |
---|
4065 | + ( w_comp * rho_air_zw(k) * ( ibit15 + ibit16 + ibit17 ) & |
---|
4066 | - ( w(k-1,j,i) + w(k-1,j,i-1) ) * rho_air_zw(k-1) & |
---|
4067 | * ( IBITS(advc_flags_1(k-1,j,i),15,1) & |
---|
4068 | + IBITS(advc_flags_1(k-1,j,i),16,1) & |
---|
4069 | + IBITS(advc_flags_1(k-1,j,i),17,1) & |
---|
4070 | ) & |
---|
4071 | ) * drho_air(k) * ddzw(k) & |
---|
4072 | ) * 0.5_wp |
---|
4073 | |
---|
4074 | |
---|
4075 | |
---|
4076 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
4077 | ( flux_r(k) + diss_r(k) & |
---|
4078 | - swap_flux_x_local_u(k,j) - swap_diss_x_local_u(k,j) ) * ddx & |
---|
4079 | + ( flux_n(k) + diss_n(k) & |
---|
4080 | - swap_flux_y_local_u(k) - swap_diss_y_local_u(k) ) * ddy & |
---|
4081 | + ( ( flux_t(k) + diss_t(k) ) & |
---|
4082 | - ( flux_d + diss_d ) & |
---|
4083 | ) * drho_air(k) * ddzw(k) & |
---|
4084 | ) + div * u(k,j,i) |
---|
4085 | |
---|
4086 | swap_flux_x_local_u(k,j) = flux_r(k) |
---|
4087 | swap_diss_x_local_u(k,j) = diss_r(k) |
---|
4088 | swap_flux_y_local_u(k) = flux_n(k) |
---|
4089 | swap_diss_y_local_u(k) = diss_n(k) |
---|
4090 | flux_d = flux_t(k) |
---|
4091 | diss_d = diss_t(k) |
---|
4092 | ! |
---|
4093 | !-- Statistical Evaluation of u'u'. The factor has to be applied |
---|
4094 | !-- for right evaluation when gallilei_trans = .T. . |
---|
4095 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
---|
4096 | + ( flux_r(k) & |
---|
4097 | * ( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
---|
4098 | / ( u_comp(k) - gu + SIGN( 1.0E-20_wp, u_comp(k) - gu ) ) & |
---|
4099 | + diss_r(k) & |
---|
4100 | * ABS( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
---|
4101 | / ( ABS( u_comp(k) - gu ) + 1.0E-20_wp ) & |
---|
4102 | ) * weight_substep(intermediate_timestep_count) |
---|
4103 | ! |
---|
4104 | !-- Statistical Evaluation of w'u'. |
---|
4105 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
---|
4106 | + ( flux_t(k) & |
---|
4107 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
---|
4108 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
---|
4109 | + diss_t(k) & |
---|
4110 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
---|
4111 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
---|
4112 | ) * weight_substep(intermediate_timestep_count) |
---|
4113 | |
---|
4114 | ENDDO |
---|
4115 | |
---|
4116 | DO k = nzb_max+1, nzt |
---|
4117 | |
---|
4118 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
4119 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
4120 | 37.0_wp * ( u(k,j,i+1) + u(k,j,i) ) & |
---|
4121 | - 8.0_wp * ( u(k,j,i+2) + u(k,j,i-1) ) & |
---|
4122 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) * adv_mom_5 |
---|
4123 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
4124 | 10.0_wp * ( u(k,j,i+1) - u(k,j,i) ) & |
---|
4125 | - 5.0_wp * ( u(k,j,i+2) - u(k,j,i-1) ) & |
---|
4126 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
---|
4127 | |
---|
4128 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
4129 | flux_n(k) = v_comp * ( & |
---|
4130 | 37.0_wp * ( u(k,j+1,i) + u(k,j,i) ) & |
---|
4131 | - 8.0_wp * ( u(k,j+2,i) + u(k,j-1,i) ) & |
---|
4132 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
---|
4133 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
4134 | 10.0_wp * ( u(k,j+1,i) - u(k,j,i) ) & |
---|
4135 | - 5.0_wp * ( u(k,j+2,i) - u(k,j-1,i) ) & |
---|
4136 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
---|
4137 | ! |
---|
4138 | !-- k index has to be modified near bottom and top, else array |
---|
4139 | !-- subscripts will be exceeded. |
---|
4140 | ibit17 = IBITS(advc_flags_1(k,j,i),17,1) |
---|
4141 | ibit16 = IBITS(advc_flags_1(k,j,i),16,1) |
---|
4142 | ibit15 = IBITS(advc_flags_1(k,j,i),15,1) |
---|
4143 | |
---|
4144 | k_ppp = k + 3 * ibit17 |
---|
4145 | k_pp = k + 2 * ( 1 - ibit15 ) |
---|
4146 | k_mm = k - 2 * ibit17 |
---|
4147 | |
---|
4148 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
4149 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
---|
4150 | ( 37.0_wp * ibit17 * adv_mom_5 & |
---|
4151 | + 7.0_wp * ibit16 * adv_mom_3 & |
---|
4152 | + ibit15 * adv_mom_1 & |
---|
4153 | ) * & |
---|
4154 | ( u(k+1,j,i) + u(k,j,i) ) & |
---|
4155 | - ( 8.0_wp * ibit17 * adv_mom_5 & |
---|
4156 | + ibit16 * adv_mom_3 & |
---|
4157 | ) * & |
---|
4158 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
---|
4159 | + ( ibit17 * adv_mom_5 & |
---|
4160 | ) * & |
---|
4161 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
---|
4162 | ) |
---|
4163 | |
---|
4164 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
---|
4165 | ( 10.0_wp * ibit17 * adv_mom_5 & |
---|
4166 | + 3.0_wp * ibit16 * adv_mom_3 & |
---|
4167 | + ibit15 * adv_mom_1 & |
---|
4168 | ) * & |
---|
4169 | ( u(k+1,j,i) - u(k,j,i) ) & |
---|
4170 | - ( 5.0_wp * ibit17 * adv_mom_5 & |
---|
4171 | + ibit16 * adv_mom_3 & |
---|
4172 | ) * & |
---|
4173 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
---|
4174 | + ( ibit17 * adv_mom_5 & |
---|
4175 | ) * & |
---|
4176 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
---|
4177 | ) |
---|
4178 | ! |
---|
4179 | !-- Calculate the divergence of the velocity field. A respective |
---|
4180 | !-- correction is needed to overcome numerical instabilities caused |
---|
4181 | !-- by a not sufficient reduction of divergences near topography. |
---|
4182 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
---|
4183 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
---|
4184 | + ( w_comp * rho_air_zw(k) - & |
---|
4185 | ( w(k-1,j,i) + w(k-1,j,i-1) ) * rho_air_zw(k-1) & |
---|
4186 | ) * drho_air(k) * ddzw(k) & |
---|
4187 | ) * 0.5_wp |
---|
4188 | |
---|
4189 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
4190 | ( flux_r(k) + diss_r(k) & |
---|
4191 | - swap_flux_x_local_u(k,j) - swap_diss_x_local_u(k,j) ) * ddx & |
---|
4192 | + ( flux_n(k) + diss_n(k) & |
---|
4193 | - swap_flux_y_local_u(k) - swap_diss_y_local_u(k) ) * ddy & |
---|
4194 | + ( ( flux_t(k) + diss_t(k) ) & |
---|
4195 | - ( flux_d + diss_d ) & |
---|
4196 | ) * drho_air(k) * ddzw(k) & |
---|
4197 | ) + div * u(k,j,i) |
---|
4198 | |
---|
4199 | swap_flux_x_local_u(k,j) = flux_r(k) |
---|
4200 | swap_diss_x_local_u(k,j) = diss_r(k) |
---|
4201 | swap_flux_y_local_u(k) = flux_n(k) |
---|
4202 | swap_diss_y_local_u(k) = diss_n(k) |
---|
4203 | flux_d = flux_t(k) |
---|
4204 | diss_d = diss_t(k) |
---|
4205 | ! |
---|
4206 | !-- Statistical Evaluation of u'u'. The factor has to be applied |
---|
4207 | !-- for right evaluation when gallilei_trans = .T. . |
---|
4208 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
---|
4209 | + ( flux_r(k) & |
---|
4210 | * ( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
---|
4211 | / ( u_comp(k) - gu + SIGN( 1.0E-20_wp, u_comp(k) - gu ) ) & |
---|
4212 | + diss_r(k) & |
---|
4213 | * ABS( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
---|
4214 | / ( ABS( u_comp(k) - gu ) + 1.0E-20_wp ) & |
---|
4215 | ) * weight_substep(intermediate_timestep_count) |
---|
4216 | ! |
---|
4217 | !-- Statistical Evaluation of w'u'. |
---|
4218 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
---|
4219 | + ( flux_t(k) & |
---|
4220 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
---|
4221 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
---|
4222 | + diss_t(k) & |
---|
4223 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
---|
4224 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
---|
4225 | ) * weight_substep(intermediate_timestep_count) |
---|
4226 | ENDDO |
---|
4227 | ENDDO |
---|
4228 | ENDDO |
---|
4229 | sums_us2_ws_l(nzb,tn) = sums_us2_ws_l(nzb+1,tn) |
---|
4230 | |
---|
4231 | |
---|
4232 | END SUBROUTINE advec_u_ws |
---|
4233 | |
---|
4234 | |
---|
4235 | !------------------------------------------------------------------------------! |
---|
4236 | ! Description: |
---|
4237 | ! ------------ |
---|
4238 | !> Advection of v - Call for all grid points |
---|
4239 | !------------------------------------------------------------------------------! |
---|
4240 | SUBROUTINE advec_v_ws |
---|
4241 | |
---|
4242 | USE arrays_3d, & |
---|
4243 | ONLY: ddzw, drho_air, tend, u, v, w, rho_air_zw |
---|
4244 | |
---|
4245 | USE control_parameters, & |
---|
4246 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
---|
4247 | |
---|
4248 | USE grid_variables, & |
---|
4249 | ONLY: ddx, ddy |
---|
4250 | |
---|
4251 | USE indices, & |
---|
4252 | ONLY: nxl, nxr, nyn, nys, nysv, nzb, nzb_max, nzt, advc_flags_1 |
---|
4253 | |
---|
4254 | USE kinds |
---|
4255 | |
---|
4256 | USE statistics, & |
---|
4257 | ONLY: hom, sums_vs2_ws_l, sums_wsvs_ws_l, weight_substep |
---|
4258 | |
---|
4259 | IMPLICIT NONE |
---|
4260 | |
---|
4261 | |
---|
4262 | INTEGER(iwp) :: i !< |
---|
4263 | INTEGER(iwp) :: ibit18 !< |
---|
4264 | INTEGER(iwp) :: ibit19 !< |
---|
4265 | INTEGER(iwp) :: ibit20 !< |
---|
4266 | INTEGER(iwp) :: ibit21 !< |
---|
4267 | INTEGER(iwp) :: ibit22 !< |
---|
4268 | INTEGER(iwp) :: ibit23 !< |
---|
4269 | INTEGER(iwp) :: ibit24 !< |
---|
4270 | INTEGER(iwp) :: ibit25 !< |
---|
4271 | INTEGER(iwp) :: ibit26 !< |
---|
4272 | INTEGER(iwp) :: j !< |
---|
4273 | INTEGER(iwp) :: k !< |
---|
4274 | INTEGER(iwp) :: k_mm !< |
---|
4275 | INTEGER(iwp) :: k_pp !< |
---|
4276 | INTEGER(iwp) :: k_ppp !< |
---|
4277 | INTEGER(iwp) :: tn = 0 !< |
---|
4278 | |
---|
4279 | REAL(wp) :: diss_d !< |
---|
4280 | REAL(wp) :: div !< |
---|
4281 | REAL(wp) :: flux_d !< |
---|
4282 | REAL(wp) :: gu !< |
---|
4283 | REAL(wp) :: gv !< |
---|
4284 | REAL(wp) :: u_comp !< |
---|
4285 | REAL(wp) :: w_comp !< |
---|
4286 | |
---|
4287 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_diss_y_local_v !< |
---|
4288 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_flux_y_local_v !< |
---|
4289 | |
---|
4290 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_v !< |
---|
4291 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local_v !< |
---|
4292 | |
---|
4293 | REAL(wp), DIMENSION(nzb:nzt) :: diss_n !< |
---|
4294 | REAL(wp), DIMENSION(nzb:nzt) :: diss_r !< |
---|
4295 | REAL(wp), DIMENSION(nzb:nzt) :: diss_t !< |
---|
4296 | REAL(wp), DIMENSION(nzb:nzt) :: flux_n !< |
---|
4297 | REAL(wp), DIMENSION(nzb:nzt) :: flux_r !< |
---|
4298 | REAL(wp), DIMENSION(nzb:nzt) :: flux_t !< |
---|
4299 | REAL(wp), DIMENSION(nzb:nzt) :: v_comp !< |
---|
4300 | |
---|
4301 | gu = 2.0_wp * u_gtrans |
---|
4302 | gv = 2.0_wp * v_gtrans |
---|
4303 | ! |
---|
4304 | !-- First compute the whole left boundary of the processor domain |
---|
4305 | i = nxl |
---|
4306 | DO j = nysv, nyn |
---|
4307 | DO k = nzb+1, nzb_max |
---|
4308 | |
---|
4309 | ibit20 = IBITS(advc_flags_1(k,j,i-1),20,1) |
---|
4310 | ibit19 = IBITS(advc_flags_1(k,j,i-1),19,1) |
---|
4311 | ibit18 = IBITS(advc_flags_1(k,j,i-1),18,1) |
---|
4312 | |
---|
4313 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
---|
4314 | swap_flux_x_local_v(k,j) = u_comp * ( & |
---|
4315 | ( 37.0_wp * ibit20 * adv_mom_5 & |
---|
4316 | + 7.0_wp * ibit19 * adv_mom_3 & |
---|
4317 | + ibit18 * adv_mom_1 & |
---|
4318 | ) * & |
---|
4319 | ( v(k,j,i) + v(k,j,i-1) ) & |
---|
4320 | - ( 8.0_wp * ibit20 * adv_mom_5 & |
---|
4321 | + ibit19 * adv_mom_3 & |
---|
4322 | ) * & |
---|
4323 | ( v(k,j,i+1) + v(k,j,i-2) ) & |
---|
4324 | + ( ibit20 * adv_mom_5 & |
---|
4325 | ) * & |
---|
4326 | ( v(k,j,i+2) + v(k,j,i-3) ) & |
---|
4327 | ) |
---|
4328 | |
---|
4329 | swap_diss_x_local_v(k,j) = - ABS( u_comp ) * ( & |
---|
4330 | ( 10.0_wp * ibit20 * adv_mom_5 & |
---|
4331 | + 3.0_wp * ibit19 * adv_mom_3 & |
---|
4332 | + ibit18 * adv_mom_1 & |
---|
4333 | ) * & |
---|
4334 | ( v(k,j,i) - v(k,j,i-1) ) & |
---|
4335 | - ( 5.0_wp * ibit20 * adv_mom_5 & |
---|
4336 | + ibit19 * adv_mom_3 & |
---|
4337 | ) * & |
---|
4338 | ( v(k,j,i+1) - v(k,j,i-2) ) & |
---|
4339 | + ( ibit20 * adv_mom_5 & |
---|
4340 | ) * & |
---|
4341 | ( v(k,j,i+2) - v(k,j,i-3) ) & |
---|
4342 | ) |
---|
4343 | |
---|
4344 | ENDDO |
---|
4345 | |
---|
4346 | DO k = nzb_max+1, nzt |
---|
4347 | |
---|
4348 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
---|
4349 | swap_flux_x_local_v(k,j) = u_comp * ( & |
---|
4350 | 37.0_wp * ( v(k,j,i) + v(k,j,i-1) ) & |
---|
4351 | - 8.0_wp * ( v(k,j,i+1) + v(k,j,i-2) ) & |
---|
4352 | + ( v(k,j,i+2) + v(k,j,i-3) ) ) * adv_mom_5 |
---|
4353 | swap_diss_x_local_v(k,j) = - ABS( u_comp ) * ( & |
---|
4354 | 10.0_wp * ( v(k,j,i) - v(k,j,i-1) ) & |
---|
4355 | - 5.0_wp * ( v(k,j,i+1) - v(k,j,i-2) ) & |
---|
4356 | + ( v(k,j,i+2) - v(k,j,i-3) ) ) * adv_mom_5 |
---|
4357 | |
---|
4358 | ENDDO |
---|
4359 | |
---|
4360 | ENDDO |
---|
4361 | |
---|
4362 | DO i = nxl, nxr |
---|
4363 | |
---|
4364 | j = nysv |
---|
4365 | DO k = nzb+1, nzb_max |
---|
4366 | |
---|
4367 | ibit23 = IBITS(advc_flags_1(k,j-1,i),23,1) |
---|
4368 | ibit22 = IBITS(advc_flags_1(k,j-1,i),22,1) |
---|
4369 | ibit21 = IBITS(advc_flags_1(k,j-1,i),21,1) |
---|
4370 | |
---|
4371 | v_comp(k) = v(k,j,i) + v(k,j-1,i) - gv |
---|
4372 | swap_flux_y_local_v(k) = v_comp(k) * ( & |
---|
4373 | ( 37.0_wp * ibit23 * adv_mom_5 & |
---|
4374 | + 7.0_wp * ibit22 * adv_mom_3 & |
---|
4375 | + ibit21 * adv_mom_1 & |
---|
4376 | ) * & |
---|
4377 | ( v(k,j,i) + v(k,j-1,i) ) & |
---|
4378 | - ( 8.0_wp * ibit23 * adv_mom_5 & |
---|
4379 | + ibit22 * adv_mom_3 & |
---|
4380 | ) * & |
---|
4381 | ( v(k,j+1,i) + v(k,j-2,i) ) & |
---|
4382 | + ( ibit23 * adv_mom_5 & |
---|
4383 | ) * & |
---|
4384 | ( v(k,j+2,i) + v(k,j-3,i) ) & |
---|
4385 | ) |
---|
4386 | |
---|
4387 | swap_diss_y_local_v(k) = - ABS( v_comp(k) ) * ( & |
---|
4388 | ( 10.0_wp * ibit23 * adv_mom_5 & |
---|
4389 | + 3.0_wp * ibit22 * adv_mom_3 & |
---|
4390 | + ibit21 * adv_mom_1 & |
---|
4391 | ) * & |
---|
4392 | ( v(k,j,i) - v(k,j-1,i) ) & |
---|
4393 | - ( 5.0_wp * ibit23 * adv_mom_5 & |
---|
4394 | + ibit22 * adv_mom_3 & |
---|
4395 | ) * & |
---|
4396 | ( v(k,j+1,i) - v(k,j-2,i) ) & |
---|
4397 | + ( ibit23 * adv_mom_5 & |
---|
4398 | ) * & |
---|
4399 | ( v(k,j+2,i) - v(k,j-3,i) ) & |
---|
4400 | ) |
---|
4401 | |
---|
4402 | ENDDO |
---|
4403 | |
---|
4404 | DO k = nzb_max+1, nzt |
---|
4405 | |
---|
4406 | v_comp(k) = v(k,j,i) + v(k,j-1,i) - gv |
---|
4407 | swap_flux_y_local_v(k) = v_comp(k) * ( & |
---|
4408 | 37.0_wp * ( v(k,j,i) + v(k,j-1,i) ) & |
---|
4409 | - 8.0_wp * ( v(k,j+1,i) + v(k,j-2,i) ) & |
---|
4410 | + ( v(k,j+2,i) + v(k,j-3,i) ) ) * adv_mom_5 |
---|
4411 | swap_diss_y_local_v(k) = - ABS( v_comp(k) ) * ( & |
---|
4412 | 10.0_wp * ( v(k,j,i) - v(k,j-1,i) ) & |
---|
4413 | - 5.0_wp * ( v(k,j+1,i) - v(k,j-2,i) ) & |
---|
4414 | + ( v(k,j+2,i) - v(k,j-3,i) ) ) * adv_mom_5 |
---|
4415 | |
---|
4416 | ENDDO |
---|
4417 | |
---|
4418 | DO j = nysv, nyn |
---|
4419 | |
---|
4420 | flux_t(0) = 0.0_wp |
---|
4421 | diss_t(0) = 0.0_wp |
---|
4422 | flux_d = 0.0_wp |
---|
4423 | diss_d = 0.0_wp |
---|
4424 | |
---|
4425 | DO k = nzb+1, nzb_max |
---|
4426 | |
---|
4427 | ibit20 = IBITS(advc_flags_1(k,j,i),20,1) |
---|
4428 | ibit19 = IBITS(advc_flags_1(k,j,i),19,1) |
---|
4429 | ibit18 = IBITS(advc_flags_1(k,j,i),18,1) |
---|
4430 | |
---|
4431 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
4432 | flux_r(k) = u_comp * ( & |
---|
4433 | ( 37.0_wp * ibit20 * adv_mom_5 & |
---|
4434 | + 7.0_wp * ibit19 * adv_mom_3 & |
---|
4435 | + ibit18 * adv_mom_1 & |
---|
4436 | ) * & |
---|
4437 | ( v(k,j,i+1) + v(k,j,i) ) & |
---|
4438 | - ( 8.0_wp * ibit20 * adv_mom_5 & |
---|
4439 | + ibit19 * adv_mom_3 & |
---|
4440 | ) * & |
---|
4441 | ( v(k,j,i+2) + v(k,j,i-1) ) & |
---|
4442 | + ( ibit20 * adv_mom_5 & |
---|
4443 | ) * & |
---|
4444 | ( v(k,j,i+3) + v(k,j,i-2) ) & |
---|
4445 | ) |
---|
4446 | |
---|
4447 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
4448 | ( 10.0_wp * ibit20 * adv_mom_5 & |
---|
4449 | + 3.0_wp * ibit19 * adv_mom_3 & |
---|
4450 | + ibit18 * adv_mom_1 & |
---|
4451 | ) * & |
---|
4452 | ( v(k,j,i+1) - v(k,j,i) ) & |
---|
4453 | - ( 5.0_wp * ibit20 * adv_mom_5 & |
---|
4454 | + ibit19 * adv_mom_3 & |
---|
4455 | ) * & |
---|
4456 | ( v(k,j,i+2) - v(k,j,i-1) ) & |
---|
4457 | + ( ibit20 * adv_mom_5 & |
---|
4458 | ) * & |
---|
4459 | ( v(k,j,i+3) - v(k,j,i-2) ) & |
---|
4460 | ) |
---|
4461 | |
---|
4462 | ibit23 = IBITS(advc_flags_1(k,j,i),23,1) |
---|
4463 | ibit22 = IBITS(advc_flags_1(k,j,i),22,1) |
---|
4464 | ibit21 = IBITS(advc_flags_1(k,j,i),21,1) |
---|
4465 | |
---|
4466 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
4467 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
---|
4468 | ( 37.0_wp * ibit23 * adv_mom_5 & |
---|
4469 | + 7.0_wp * ibit22 * adv_mom_3 & |
---|
4470 | + ibit21 * adv_mom_1 & |
---|
4471 | ) * & |
---|
4472 | ( v(k,j+1,i) + v(k,j,i) ) & |
---|
4473 | - ( 8.0_wp * ibit23 * adv_mom_5 & |
---|
4474 | + ibit22 * adv_mom_3 & |
---|
4475 | ) * & |
---|
4476 | ( v(k,j+2,i) + v(k,j-1,i) ) & |
---|
4477 | + ( ibit23 * adv_mom_5 & |
---|
4478 | ) * & |
---|
4479 | ( v(k,j+3,i) + v(k,j-2,i) ) & |
---|
4480 | ) |
---|
4481 | |
---|
4482 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
---|
4483 | ( 10.0_wp * ibit23 * adv_mom_5 & |
---|
4484 | + 3.0_wp * ibit22 * adv_mom_3 & |
---|
4485 | + ibit21 * adv_mom_1 & |
---|
4486 | ) * & |
---|
4487 | ( v(k,j+1,i) - v(k,j,i) ) & |
---|
4488 | - ( 5.0_wp * ibit23 * adv_mom_5 & |
---|
4489 | + ibit22 * adv_mom_3 & |
---|
4490 | ) * & |
---|
4491 | ( v(k,j+2,i) - v(k,j-1,i) ) & |
---|
4492 | + ( ibit23 * adv_mom_5 & |
---|
4493 | ) * & |
---|
4494 | ( v(k,j+3,i) - v(k,j-2,i) ) & |
---|
4495 | ) |
---|
4496 | ! |
---|
4497 | !-- k index has to be modified near bottom and top, else array |
---|
4498 | !-- subscripts will be exceeded. |
---|
4499 | ibit26 = IBITS(advc_flags_1(k,j,i),26,1) |
---|
4500 | ibit25 = IBITS(advc_flags_1(k,j,i),25,1) |
---|
4501 | ibit24 = IBITS(advc_flags_1(k,j,i),24,1) |
---|
4502 | |
---|
4503 | k_ppp = k + 3 * ibit26 |
---|
4504 | k_pp = k + 2 * ( 1 - ibit24 ) |
---|
4505 | k_mm = k - 2 * ibit26 |
---|
4506 | |
---|
4507 | w_comp = w(k,j-1,i) + w(k,j,i) |
---|
4508 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
---|
4509 | ( 37.0_wp * ibit26 * adv_mom_5 & |
---|
4510 | + 7.0_wp * ibit25 * adv_mom_3 & |
---|
4511 | + ibit24 * adv_mom_1 & |
---|
4512 | ) * & |
---|
4513 | ( v(k+1,j,i) + v(k,j,i) ) & |
---|
4514 | - ( 8.0_wp * ibit26 * adv_mom_5 & |
---|
4515 | + ibit25 * adv_mom_3 & |
---|
4516 | ) * & |
---|
4517 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
---|
4518 | + ( ibit26 * adv_mom_5 & |
---|
4519 | ) * & |
---|
4520 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
---|
4521 | ) |
---|
4522 | |
---|
4523 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
---|
4524 | ( 10.0_wp * ibit26 * adv_mom_5 & |
---|
4525 | + 3.0_wp * ibit25 * adv_mom_3 & |
---|
4526 | + ibit24 * adv_mom_1 & |
---|
4527 | ) * & |
---|
4528 | ( v(k+1,j,i) - v(k,j,i) ) & |
---|
4529 | - ( 5.0_wp * ibit26 * adv_mom_5 & |
---|
4530 | + ibit25 * adv_mom_3 & |
---|
4531 | ) * & |
---|
4532 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
---|
4533 | + ( ibit26 * adv_mom_5 & |
---|
4534 | ) * & |
---|
4535 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
---|
4536 | ) |
---|
4537 | ! |
---|
4538 | !-- Calculate the divergence of the velocity field. A respective |
---|
4539 | !-- correction is needed to overcome numerical instabilities caused |
---|
4540 | !-- by a not sufficient reduction of divergences near topography. |
---|
4541 | div = ( ( ( u_comp + gu ) & |
---|
4542 | * ( ibit18 + ibit19 + ibit20 ) & |
---|
4543 | - ( u(k,j-1,i) + u(k,j,i) ) & |
---|
4544 | * ( IBITS(advc_flags_1(k,j,i-1),18,1) & |
---|
4545 | + IBITS(advc_flags_1(k,j,i-1),19,1) & |
---|
4546 | + IBITS(advc_flags_1(k,j,i-1),20,1) & |
---|
4547 | ) & |
---|
4548 | ) * ddx & |
---|
4549 | + ( v_comp(k) & |
---|
4550 | * ( ibit21 + ibit22 + ibit23 ) & |
---|
4551 | - ( v(k,j,i) + v(k,j-1,i) ) & |
---|
4552 | * ( IBITS(advc_flags_1(k,j-1,i),21,1) & |
---|
4553 | + IBITS(advc_flags_1(k,j-1,i),22,1) & |
---|
4554 | + IBITS(advc_flags_1(k,j-1,i),23,1) & |
---|
4555 | ) & |
---|
4556 | ) * ddy & |
---|
4557 | + ( w_comp * rho_air_zw(k) & |
---|
4558 | * ( ibit24 + ibit25 + ibit26 ) & |
---|
4559 | - ( w(k-1,j-1,i) + w(k-1,j,i) ) * rho_air_zw(k-1) & |
---|
4560 | * ( IBITS(advc_flags_1(k-1,j,i),24,1) & |
---|
4561 | + IBITS(advc_flags_1(k-1,j,i),25,1) & |
---|
4562 | + IBITS(advc_flags_1(k-1,j,i),26,1) & |
---|
4563 | ) & |
---|
4564 | ) * drho_air(k) * ddzw(k) & |
---|
4565 | ) * 0.5_wp |
---|
4566 | |
---|
4567 | |
---|
4568 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
4569 | ( flux_r(k) + diss_r(k) & |
---|
4570 | - swap_flux_x_local_v(k,j) - swap_diss_x_local_v(k,j) & |
---|
4571 | ) * ddx & |
---|
4572 | + ( flux_n(k) + diss_n(k) & |
---|
4573 | - swap_flux_y_local_v(k) - swap_diss_y_local_v(k) & |
---|
4574 | ) * ddy & |
---|
4575 | + ( ( flux_t(k) + diss_t(k) ) & |
---|
4576 | - ( flux_d + diss_d ) & |
---|
4577 | ) * drho_air(k) * ddzw(k) & |
---|
4578 | ) + v(k,j,i) * div |
---|
4579 | |
---|
4580 | swap_flux_x_local_v(k,j) = flux_r(k) |
---|
4581 | swap_diss_x_local_v(k,j) = diss_r(k) |
---|
4582 | swap_flux_y_local_v(k) = flux_n(k) |
---|
4583 | swap_diss_y_local_v(k) = diss_n(k) |
---|
4584 | flux_d = flux_t(k) |
---|
4585 | diss_d = diss_t(k) |
---|
4586 | |
---|
4587 | ! |
---|
4588 | !-- Statistical Evaluation of v'v'. The factor has to be applied |
---|
4589 | !-- for right evaluation when gallilei_trans = .T. . |
---|
4590 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
---|
4591 | + ( flux_n(k) & |
---|
4592 | * ( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
---|
4593 | / ( v_comp(k) - gv + SIGN( 1.0E-20_wp, v_comp(k) - gv ) ) & |
---|
4594 | + diss_n(k) & |
---|
4595 | * ABS( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
---|
4596 | / ( ABS( v_comp(k) - gv ) + 1.0E-20_wp ) & |
---|
4597 | ) * weight_substep(intermediate_timestep_count) |
---|
4598 | ! |
---|
4599 | !-- Statistical Evaluation of w'u'. |
---|
4600 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
---|
4601 | + ( flux_t(k) & |
---|
4602 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
---|
4603 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
---|
4604 | + diss_t(k) & |
---|
4605 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
---|
4606 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
---|
4607 | ) * weight_substep(intermediate_timestep_count) |
---|
4608 | |
---|
4609 | ENDDO |
---|
4610 | |
---|
4611 | DO k = nzb_max+1, nzt |
---|
4612 | |
---|
4613 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
4614 | flux_r(k) = u_comp * ( & |
---|
4615 | 37.0_wp * ( v(k,j,i+1) + v(k,j,i) ) & |
---|
4616 | - 8.0_wp * ( v(k,j,i+2) + v(k,j,i-1) ) & |
---|
4617 | + ( v(k,j,i+3) + v(k,j,i-2) ) ) * adv_mom_5 |
---|
4618 | |
---|
4619 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
4620 | 10.0_wp * ( v(k,j,i+1) - v(k,j,i) ) & |
---|
4621 | - 5.0_wp * ( v(k,j,i+2) - v(k,j,i-1) ) & |
---|
4622 | + ( v(k,j,i+3) - v(k,j,i-2) ) ) * adv_mom_5 |
---|
4623 | |
---|
4624 | |
---|
4625 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
4626 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
---|
4627 | 37.0_wp * ( v(k,j+1,i) + v(k,j,i) ) & |
---|
4628 | - 8.0_wp * ( v(k,j+2,i) + v(k,j-1,i) ) & |
---|
4629 | + ( v(k,j+3,i) + v(k,j-2,i) ) ) * adv_mom_5 |
---|
4630 | |
---|
4631 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
---|
4632 | 10.0_wp * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
4633 | - 5.0_wp * ( v(k,j+2,i) - v(k,j-1,i) ) & |
---|
4634 | + ( v(k,j+3,i) - v(k,j-2,i) ) ) * adv_mom_5 |
---|
4635 | ! |
---|
4636 | !-- k index has to be modified near bottom and top, else array |
---|
4637 | !-- subscripts will be exceeded. |
---|
4638 | ibit26 = IBITS(advc_flags_1(k,j,i),26,1) |
---|
4639 | ibit25 = IBITS(advc_flags_1(k,j,i),25,1) |
---|
4640 | ibit24 = IBITS(advc_flags_1(k,j,i),24,1) |
---|
4641 | |
---|
4642 | k_ppp = k + 3 * ibit26 |
---|
4643 | k_pp = k + 2 * ( 1 - ibit24 ) |
---|
4644 | k_mm = k - 2 * ibit26 |
---|
4645 | |
---|
4646 | w_comp = w(k,j-1,i) + w(k,j,i) |
---|
4647 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
---|
4648 | ( 37.0_wp * ibit26 * adv_mom_5 & |
---|
4649 | + 7.0_wp * ibit25 * adv_mom_3 & |
---|
4650 | + ibit24 * adv_mom_1 & |
---|
4651 | ) * & |
---|
4652 | ( v(k+1,j,i) + v(k,j,i) ) & |
---|
4653 | - ( 8.0_wp * ibit26 * adv_mom_5 & |
---|
4654 | + ibit25 * adv_mom_3 & |
---|
4655 | ) * & |
---|
4656 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
---|
4657 | + ( ibit26 * adv_mom_5 & |
---|
4658 | ) * & |
---|
4659 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
---|
4660 | ) |
---|
4661 | |
---|
4662 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
---|
4663 | ( 10.0_wp * ibit26 * adv_mom_5 & |
---|
4664 | + 3.0_wp * ibit25 * adv_mom_3 & |
---|
4665 | + ibit24 * adv_mom_1 & |
---|
4666 | ) * & |
---|
4667 | ( v(k+1,j,i) - v(k,j,i) ) & |
---|
4668 | - ( 5.0_wp * ibit26 * adv_mom_5 & |
---|
4669 | + ibit25 * adv_mom_3 & |
---|
4670 | ) * & |
---|
4671 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
---|
4672 | + ( ibit26 * adv_mom_5 & |
---|
4673 | ) * & |
---|
4674 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
---|
4675 | ) |
---|
4676 | ! |
---|
4677 | !-- Calculate the divergence of the velocity field. A respective |
---|
4678 | !-- correction is needed to overcome numerical instabilities caused |
---|
4679 | !-- by a not sufficient reduction of divergences near topography. |
---|
4680 | div = ( ( u_comp + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
---|
4681 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
---|
4682 | + ( w_comp * rho_air_zw(k) - & |
---|
4683 | ( w(k-1,j-1,i) + w(k-1,j,i) ) * rho_air_zw(k-1) & |
---|
4684 | ) * drho_air(k) * ddzw(k) & |
---|
4685 | ) * 0.5_wp |
---|
4686 | |
---|
4687 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
4688 | ( flux_r(k) + diss_r(k) & |
---|
4689 | - swap_flux_x_local_v(k,j) - swap_diss_x_local_v(k,j) & |
---|
4690 | ) * ddx & |
---|
4691 | + ( flux_n(k) + diss_n(k) & |
---|
4692 | - swap_flux_y_local_v(k) - swap_diss_y_local_v(k) & |
---|
4693 | ) * ddy & |
---|
4694 | + ( ( flux_t(k) + diss_t(k) ) & |
---|
4695 | - ( flux_d + diss_d ) & |
---|
4696 | ) * drho_air(k) * ddzw(k) & |
---|
4697 | ) + v(k,j,i) * div |
---|
4698 | |
---|
4699 | swap_flux_x_local_v(k,j) = flux_r(k) |
---|
4700 | swap_diss_x_local_v(k,j) = diss_r(k) |
---|
4701 | swap_flux_y_local_v(k) = flux_n(k) |
---|
4702 | swap_diss_y_local_v(k) = diss_n(k) |
---|
4703 | flux_d = flux_t(k) |
---|
4704 | diss_d = diss_t(k) |
---|
4705 | |
---|
4706 | ! |
---|
4707 | !-- Statistical Evaluation of v'v'. The factor has to be applied |
---|
4708 | !-- for right evaluation when gallilei_trans = .T. . |
---|
4709 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
---|
4710 | + ( flux_n(k) & |
---|
4711 | * ( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
---|
4712 | / ( v_comp(k) - gv + SIGN( 1.0E-20_wp, v_comp(k) - gv ) ) & |
---|
4713 | + diss_n(k) & |
---|
4714 | * ABS( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
---|
4715 | / ( ABS( v_comp(k) - gv ) + 1.0E-20_wp ) & |
---|
4716 | ) * weight_substep(intermediate_timestep_count) |
---|
4717 | ! |
---|
4718 | !-- Statistical Evaluation of w'u'. |
---|
4719 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
---|
4720 | + ( flux_t(k) & |
---|
4721 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
---|
4722 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
---|
4723 | + diss_t(k) & |
---|
4724 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
---|
4725 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
---|
4726 | ) * weight_substep(intermediate_timestep_count) |
---|
4727 | |
---|
4728 | ENDDO |
---|
4729 | ENDDO |
---|
4730 | ENDDO |
---|
4731 | sums_vs2_ws_l(nzb,tn) = sums_vs2_ws_l(nzb+1,tn) |
---|
4732 | |
---|
4733 | |
---|
4734 | END SUBROUTINE advec_v_ws |
---|
4735 | |
---|
4736 | |
---|
4737 | !------------------------------------------------------------------------------! |
---|
4738 | ! Description: |
---|
4739 | ! ------------ |
---|
4740 | !> Advection of w - Call for all grid points |
---|
4741 | !------------------------------------------------------------------------------! |
---|
4742 | SUBROUTINE advec_w_ws |
---|
4743 | |
---|
4744 | USE arrays_3d, & |
---|
4745 | ONLY: ddzu, drho_air_zw, tend, u, v, w, rho_air |
---|
4746 | |
---|
4747 | USE control_parameters, & |
---|
4748 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
---|
4749 | |
---|
4750 | USE grid_variables, & |
---|
4751 | ONLY: ddx, ddy |
---|
4752 | |
---|
4753 | USE indices, & |
---|
4754 | ONLY: nxl, nxr, nyn, nys, nzb, nzb_max, nzt, advc_flags_1, & |
---|
4755 | advc_flags_2 |
---|
4756 | |
---|
4757 | USE kinds |
---|
4758 | |
---|
4759 | USE statistics, & |
---|
4760 | ONLY: hom, sums_ws2_ws_l, weight_substep |
---|
4761 | |
---|
4762 | IMPLICIT NONE |
---|
4763 | |
---|
4764 | INTEGER(iwp) :: i !< |
---|
4765 | INTEGER(iwp) :: ibit27 !< |
---|
4766 | INTEGER(iwp) :: ibit28 !< |
---|
4767 | INTEGER(iwp) :: ibit29 !< |
---|
4768 | INTEGER(iwp) :: ibit30 !< |
---|
4769 | INTEGER(iwp) :: ibit31 !< |
---|
4770 | INTEGER(iwp) :: ibit32 !< |
---|
4771 | INTEGER(iwp) :: ibit33 !< |
---|
4772 | INTEGER(iwp) :: ibit34 !< |
---|
4773 | INTEGER(iwp) :: ibit35 !< |
---|
4774 | INTEGER(iwp) :: j !< |
---|
4775 | INTEGER(iwp) :: k !< |
---|
4776 | INTEGER(iwp) :: k_mm !< |
---|
4777 | INTEGER(iwp) :: k_pp !< |
---|
4778 | INTEGER(iwp) :: k_ppp !< |
---|
4779 | INTEGER(iwp) :: tn = 0 !< |
---|
4780 | |
---|
4781 | REAL(wp) :: diss_d !< |
---|
4782 | REAL(wp) :: div !< |
---|
4783 | REAL(wp) :: flux_d !< |
---|
4784 | REAL(wp) :: gu !< |
---|
4785 | REAL(wp) :: gv !< |
---|
4786 | REAL(wp) :: u_comp !< |
---|
4787 | REAL(wp) :: v_comp !< |
---|
4788 | REAL(wp) :: w_comp !< |
---|
4789 | |
---|
4790 | REAL(wp), DIMENSION(nzb:nzt) :: diss_t !< |
---|
4791 | REAL(wp), DIMENSION(nzb:nzt) :: flux_t !< |
---|
4792 | |
---|
4793 | REAL(wp), DIMENSION(nzb+1:nzt) :: diss_n !< |
---|
4794 | REAL(wp), DIMENSION(nzb+1:nzt) :: diss_r !< |
---|
4795 | REAL(wp), DIMENSION(nzb+1:nzt) :: flux_n !< |
---|
4796 | REAL(wp), DIMENSION(nzb+1:nzt) :: flux_r !< |
---|
4797 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_diss_y_local_w !< |
---|
4798 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_flux_y_local_w !< |
---|
4799 | |
---|
4800 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_w !< |
---|
4801 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local_w !< |
---|
4802 | |
---|
4803 | gu = 2.0_wp * u_gtrans |
---|
4804 | gv = 2.0_wp * v_gtrans |
---|
4805 | ! |
---|
4806 | !-- compute the whole left boundary of the processor domain |
---|
4807 | i = nxl |
---|
4808 | DO j = nys, nyn |
---|
4809 | DO k = nzb+1, nzb_max |
---|
4810 | |
---|
4811 | ibit29 = IBITS(advc_flags_1(k,j,i-1),29,1) |
---|
4812 | ibit28 = IBITS(advc_flags_1(k,j,i-1),28,1) |
---|
4813 | ibit27 = IBITS(advc_flags_1(k,j,i-1),27,1) |
---|
4814 | |
---|
4815 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
---|
4816 | swap_flux_x_local_w(k,j) = u_comp * ( & |
---|
4817 | ( 37.0_wp * ibit29 * adv_mom_5 & |
---|
4818 | + 7.0_wp * ibit28 * adv_mom_3 & |
---|
4819 | + ibit27 * adv_mom_1 & |
---|
4820 | ) * & |
---|
4821 | ( w(k,j,i) + w(k,j,i-1) ) & |
---|
4822 | - ( 8.0_wp * ibit29 * adv_mom_5 & |
---|
4823 | + ibit28 * adv_mom_3 & |
---|
4824 | ) * & |
---|
4825 | ( w(k,j,i+1) + w(k,j,i-2) ) & |
---|
4826 | + ( ibit29 * adv_mom_5 & |
---|
4827 | ) * & |
---|
4828 | ( w(k,j,i+2) + w(k,j,i-3) ) & |
---|
4829 | ) |
---|
4830 | |
---|
4831 | swap_diss_x_local_w(k,j) = - ABS( u_comp ) * ( & |
---|
4832 | ( 10.0_wp * ibit29 * adv_mom_5 & |
---|
4833 | + 3.0_wp * ibit28 * adv_mom_3 & |
---|
4834 | + ibit27 * adv_mom_1 & |
---|
4835 | ) * & |
---|
4836 | ( w(k,j,i) - w(k,j,i-1) ) & |
---|
4837 | - ( 5.0_wp * ibit29 * adv_mom_5 & |
---|
4838 | + ibit28 * adv_mom_3 & |
---|
4839 | ) * & |
---|
4840 | ( w(k,j,i+1) - w(k,j,i-2) ) & |
---|
4841 | + ( ibit29 * adv_mom_5 & |
---|
4842 | ) * & |
---|
4843 | ( w(k,j,i+2) - w(k,j,i-3) ) & |
---|
4844 | ) |
---|
4845 | |
---|
4846 | ENDDO |
---|
4847 | |
---|
4848 | DO k = nzb_max+1, nzt |
---|
4849 | |
---|
4850 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
---|
4851 | swap_flux_x_local_w(k,j) = u_comp * ( & |
---|
4852 | 37.0_wp * ( w(k,j,i) + w(k,j,i-1) ) & |
---|
4853 | - 8.0_wp * ( w(k,j,i+1) + w(k,j,i-2) ) & |
---|
4854 | + ( w(k,j,i+2) + w(k,j,i-3) ) ) * adv_mom_5 |
---|
4855 | swap_diss_x_local_w(k,j) = - ABS( u_comp ) * ( & |
---|
4856 | 10.0_wp * ( w(k,j,i) - w(k,j,i-1) ) & |
---|
4857 | - 5.0_wp * ( w(k,j,i+1) - w(k,j,i-2) ) & |
---|
4858 | + ( w(k,j,i+2) - w(k,j,i-3) ) ) * adv_mom_5 |
---|
4859 | |
---|
4860 | ENDDO |
---|
4861 | |
---|
4862 | ENDDO |
---|
4863 | |
---|
4864 | DO i = nxl, nxr |
---|
4865 | |
---|
4866 | j = nys |
---|
4867 | DO k = nzb+1, nzb_max |
---|
4868 | |
---|
4869 | ibit32 = IBITS(advc_flags_2(k,j-1,i),0,1) |
---|
4870 | ibit31 = IBITS(advc_flags_1(k,j-1,i),31,1) |
---|
4871 | ibit30 = IBITS(advc_flags_1(k,j-1,i),30,1) |
---|
4872 | |
---|
4873 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
---|
4874 | swap_flux_y_local_w(k) = v_comp * ( & |
---|
4875 | ( 37.0_wp * ibit32 * adv_mom_5 & |
---|
4876 | + 7.0_wp * ibit31 * adv_mom_3 & |
---|
4877 | + ibit30 * adv_mom_1 & |
---|
4878 | ) * & |
---|
4879 | ( w(k,j,i) + w(k,j-1,i) ) & |
---|
4880 | - ( 8.0_wp * ibit32 * adv_mom_5 & |
---|
4881 | + ibit31 * adv_mom_3 & |
---|
4882 | ) * & |
---|
4883 | ( w(k,j+1,i) + w(k,j-2,i) ) & |
---|
4884 | + ( ibit32 * adv_mom_5 & |
---|
4885 | ) * & |
---|
4886 | ( w(k,j+2,i) + w(k,j-3,i) ) & |
---|
4887 | ) |
---|
4888 | |
---|
4889 | swap_diss_y_local_w(k) = - ABS( v_comp ) * ( & |
---|
4890 | ( 10.0_wp * ibit32 * adv_mom_5 & |
---|
4891 | + 3.0_wp * ibit31 * adv_mom_3 & |
---|
4892 | + ibit30 * adv_mom_1 & |
---|
4893 | ) * & |
---|
4894 | ( w(k,j,i) - w(k,j-1,i) ) & |
---|
4895 | - ( 5.0_wp * ibit32 * adv_mom_5 & |
---|
4896 | + ibit31 * adv_mom_3 & |
---|
4897 | ) * & |
---|
4898 | ( w(k,j+1,i) - w(k,j-2,i) ) & |
---|
4899 | + ( ibit32 * adv_mom_5 & |
---|
4900 | ) * & |
---|
4901 | ( w(k,j+2,i) - w(k,j-3,i) ) & |
---|
4902 | ) |
---|
4903 | |
---|
4904 | ENDDO |
---|
4905 | |
---|
4906 | DO k = nzb_max+1, nzt |
---|
4907 | |
---|
4908 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
---|
4909 | swap_flux_y_local_w(k) = v_comp * ( & |
---|
4910 | 37.0_wp * ( w(k,j,i) + w(k,j-1,i) ) & |
---|
4911 | - 8.0_wp * ( w(k,j+1,i) +w(k,j-2,i) ) & |
---|
4912 | + ( w(k,j+2,i) + w(k,j-3,i) ) ) * adv_mom_5 |
---|
4913 | swap_diss_y_local_w(k) = - ABS( v_comp ) * ( & |
---|
4914 | 10.0_wp * ( w(k,j,i) - w(k,j-1,i) ) & |
---|
4915 | - 5.0_wp * ( w(k,j+1,i) - w(k,j-2,i) ) & |
---|
4916 | + ( w(k,j+2,i) - w(k,j-3,i) ) ) * adv_mom_5 |
---|
4917 | |
---|
4918 | ENDDO |
---|
4919 | |
---|
4920 | DO j = nys, nyn |
---|
4921 | |
---|
4922 | ! |
---|
4923 | !-- The lower flux has to be calculated explicetely for the tendency |
---|
4924 | !-- at the first w-level. For topography wall this is done implicitely |
---|
4925 | !-- by advc_flags_1. |
---|
4926 | k = nzb + 1 |
---|
4927 | w_comp = w(k,j,i) + w(k-1,j,i) |
---|
4928 | flux_t(0) = w_comp * ( w(k,j,i) + w(k-1,j,i) ) * adv_mom_1 |
---|
4929 | diss_t(0) = -ABS(w_comp) * ( w(k,j,i) - w(k-1,j,i) ) * adv_mom_1 |
---|
4930 | flux_d = flux_t(0) |
---|
4931 | diss_d = diss_t(0) |
---|
4932 | |
---|
4933 | DO k = nzb+1, nzb_max |
---|
4934 | |
---|
4935 | ibit29 = IBITS(advc_flags_1(k,j,i),29,1) |
---|
4936 | ibit28 = IBITS(advc_flags_1(k,j,i),28,1) |
---|
4937 | ibit27 = IBITS(advc_flags_1(k,j,i),27,1) |
---|
4938 | |
---|
4939 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
---|
4940 | flux_r(k) = u_comp * ( & |
---|
4941 | ( 37.0_wp * ibit29 * adv_mom_5 & |
---|
4942 | + 7.0_wp * ibit28 * adv_mom_3 & |
---|
4943 | + ibit27 * adv_mom_1 & |
---|
4944 | ) * & |
---|
4945 | ( w(k,j,i+1) + w(k,j,i) ) & |
---|
4946 | - ( 8.0_wp * ibit29 * adv_mom_5 & |
---|
4947 | + ibit28 * adv_mom_3 & |
---|
4948 | ) * & |
---|
4949 | ( w(k,j,i+2) + w(k,j,i-1) ) & |
---|
4950 | + ( ibit29 * adv_mom_5 & |
---|
4951 | ) * & |
---|
4952 | ( w(k,j,i+3) + w(k,j,i-2) ) & |
---|
4953 | ) |
---|
4954 | |
---|
4955 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
4956 | ( 10.0_wp * ibit29 * adv_mom_5 & |
---|
4957 | + 3.0_wp * ibit28 * adv_mom_3 & |
---|
4958 | + ibit27 * adv_mom_1 & |
---|
4959 | ) * & |
---|
4960 | ( w(k,j,i+1) - w(k,j,i) ) & |
---|
4961 | - ( 5.0_wp * ibit29 * adv_mom_5 & |
---|
4962 | + ibit28 * adv_mom_3 & |
---|
4963 | ) * & |
---|
4964 | ( w(k,j,i+2) - w(k,j,i-1) ) & |
---|
4965 | + ( ibit29 * adv_mom_5 & |
---|
4966 | ) * & |
---|
4967 | ( w(k,j,i+3) - w(k,j,i-2) ) & |
---|
4968 | ) |
---|
4969 | |
---|
4970 | ibit32 = IBITS(advc_flags_2(k,j,i),0,1) |
---|
4971 | ibit31 = IBITS(advc_flags_1(k,j,i),31,1) |
---|
4972 | ibit30 = IBITS(advc_flags_1(k,j,i),30,1) |
---|
4973 | |
---|
4974 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
---|
4975 | flux_n(k) = v_comp * ( & |
---|
4976 | ( 37.0_wp * ibit32 * adv_mom_5 & |
---|
4977 | + 7.0_wp * ibit31 * adv_mom_3 & |
---|
4978 | + ibit30 * adv_mom_1 & |
---|
4979 | ) * & |
---|
4980 | ( w(k,j+1,i) + w(k,j,i) ) & |
---|
4981 | - ( 8.0_wp * ibit32 * adv_mom_5 & |
---|
4982 | + ibit31 * adv_mom_3 & |
---|
4983 | ) * & |
---|
4984 | ( w(k,j+2,i) + w(k,j-1,i) ) & |
---|
4985 | + ( ibit32 * adv_mom_5 & |
---|
4986 | ) * & |
---|
4987 | ( w(k,j+3,i) + w(k,j-2,i) ) & |
---|
4988 | ) |
---|
4989 | |
---|
4990 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
4991 | ( 10.0_wp * ibit32 * adv_mom_5 & |
---|
4992 | + 3.0_wp * ibit31 * adv_mom_3 & |
---|
4993 | + ibit30 * adv_mom_1 & |
---|
4994 | ) * & |
---|
4995 | ( w(k,j+1,i) - w(k,j,i) ) & |
---|
4996 | - ( 5.0_wp * ibit32 * adv_mom_5 & |
---|
4997 | + ibit31 * adv_mom_3 & |
---|
4998 | ) * & |
---|
4999 | ( w(k,j+2,i) - w(k,j-1,i) ) & |
---|
5000 | + ( ibit32 * adv_mom_5 & |
---|
5001 | ) * & |
---|
5002 | ( w(k,j+3,i) - w(k,j-2,i) ) & |
---|
5003 | ) |
---|
5004 | ! |
---|
5005 | !-- k index has to be modified near bottom and top, else array |
---|
5006 | !-- subscripts will be exceeded. |
---|
5007 | ibit35 = IBITS(advc_flags_2(k,j,i),3,1) |
---|
5008 | ibit34 = IBITS(advc_flags_2(k,j,i),2,1) |
---|
5009 | ibit33 = IBITS(advc_flags_2(k,j,i),1,1) |
---|
5010 | |
---|
5011 | k_ppp = k + 3 * ibit35 |
---|
5012 | k_pp = k + 2 * ( 1 - ibit33 ) |
---|
5013 | k_mm = k - 2 * ibit35 |
---|
5014 | |
---|
5015 | w_comp = w(k+1,j,i) + w(k,j,i) |
---|
5016 | flux_t(k) = w_comp * rho_air(k+1) * ( & |
---|
5017 | ( 37.0_wp * ibit35 * adv_mom_5 & |
---|
5018 | + 7.0_wp * ibit34 * adv_mom_3 & |
---|
5019 | + ibit33 * adv_mom_1 & |
---|
5020 | ) * & |
---|
5021 | ( w(k+1,j,i) + w(k,j,i) ) & |
---|
5022 | - ( 8.0_wp * ibit35 * adv_mom_5 & |
---|
5023 | + ibit34 * adv_mom_3 & |
---|
5024 | ) * & |
---|
5025 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
---|
5026 | + ( ibit35 * adv_mom_5 & |
---|
5027 | ) * & |
---|
5028 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
---|
5029 | ) |
---|
5030 | |
---|
5031 | diss_t(k) = - ABS( w_comp ) * rho_air(k+1) * ( & |
---|
5032 | ( 10.0_wp * ibit35 * adv_mom_5 & |
---|
5033 | + 3.0_wp * ibit34 * adv_mom_3 & |
---|
5034 | + ibit33 * adv_mom_1 & |
---|
5035 | ) * & |
---|
5036 | ( w(k+1,j,i) - w(k,j,i) ) & |
---|
5037 | - ( 5.0_wp * ibit35 * adv_mom_5 & |
---|
5038 | + ibit34 * adv_mom_3 & |
---|
5039 | ) * & |
---|
5040 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
---|
5041 | + ( ibit35 * adv_mom_5 & |
---|
5042 | ) * & |
---|
5043 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
---|
5044 | ) |
---|
5045 | ! |
---|
5046 | !-- Calculate the divergence of the velocity field. A respective |
---|
5047 | !-- correction is needed to overcome numerical instabilities caused |
---|
5048 | !-- by a not sufficient reduction of divergences near topography. |
---|
5049 | div = ( ( ( u_comp + gu ) * ( ibit27 + ibit28 + ibit29 ) & |
---|
5050 | - ( u(k+1,j,i) + u(k,j,i) ) & |
---|
5051 | * ( IBITS(advc_flags_1(k,j,i-1),27,1) & |
---|
5052 | + IBITS(advc_flags_1(k,j,i-1),28,1) & |
---|
5053 | + IBITS(advc_flags_1(k,j,i-1),29,1) & |
---|
5054 | ) & |
---|
5055 | ) * ddx & |
---|
5056 | + ( ( v_comp + gv ) * ( ibit30 + ibit31 + ibit32 ) & |
---|
5057 | - ( v(k+1,j,i) + v(k,j,i) ) & |
---|
5058 | * ( IBITS(advc_flags_1(k,j-1,i),30,1) & |
---|
5059 | + IBITS(advc_flags_1(k,j-1,i),31,1) & |
---|
5060 | + IBITS(advc_flags_2(k,j-1,i),0,1) & |
---|
5061 | ) & |
---|
5062 | ) * ddy & |
---|
5063 | + ( w_comp * rho_air(k+1) * ( ibit33 + ibit34 + ibit35 ) & |
---|
5064 | - ( w(k,j,i) + w(k-1,j,i) ) * rho_air(k) & |
---|
5065 | * ( IBITS(advc_flags_2(k-1,j,i),1,1) & |
---|
5066 | + IBITS(advc_flags_2(k-1,j,i),2,1) & |
---|
5067 | + IBITS(advc_flags_2(k-1,j,i),3,1) & |
---|
5068 | ) & |
---|
5069 | ) * drho_air_zw(k) * ddzu(k+1) & |
---|
5070 | ) * 0.5_wp |
---|
5071 | |
---|
5072 | |
---|
5073 | |
---|
5074 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
5075 | ( flux_r(k) + diss_r(k) & |
---|
5076 | - swap_flux_x_local_w(k,j) - swap_diss_x_local_w(k,j) & |
---|
5077 | ) * ddx & |
---|
5078 | + ( flux_n(k) + diss_n(k) & |
---|
5079 | - swap_flux_y_local_w(k) - swap_diss_y_local_w(k) & |
---|
5080 | ) * ddy & |
---|
5081 | + ( ( flux_t(k) + diss_t(k) ) & |
---|
5082 | - ( flux_d + diss_d ) & |
---|
5083 | ) * drho_air_zw(k) * ddzu(k+1) & |
---|
5084 | ) + div * w(k,j,i) |
---|
5085 | |
---|
5086 | swap_flux_x_local_w(k,j) = flux_r(k) |
---|
5087 | swap_diss_x_local_w(k,j) = diss_r(k) |
---|
5088 | swap_flux_y_local_w(k) = flux_n(k) |
---|
5089 | swap_diss_y_local_w(k) = diss_n(k) |
---|
5090 | flux_d = flux_t(k) |
---|
5091 | diss_d = diss_t(k) |
---|
5092 | |
---|
5093 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
---|
5094 | + ( flux_t(k) & |
---|
5095 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
---|
5096 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
---|
5097 | + diss_t(k) & |
---|
5098 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
---|
5099 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
---|
5100 | ) * weight_substep(intermediate_timestep_count) |
---|
5101 | |
---|
5102 | ENDDO |
---|
5103 | |
---|
5104 | DO k = nzb_max+1, nzt |
---|
5105 | |
---|
5106 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
---|
5107 | flux_r(k) = u_comp * ( & |
---|
5108 | 37.0_wp * ( w(k,j,i+1) + w(k,j,i) ) & |
---|
5109 | - 8.0_wp * ( w(k,j,i+2) + w(k,j,i-1) ) & |
---|
5110 | + ( w(k,j,i+3) + w(k,j,i-2) ) ) * adv_mom_5 |
---|
5111 | |
---|
5112 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
5113 | 10.0_wp * ( w(k,j,i+1) - w(k,j,i) ) & |
---|
5114 | - 5.0_wp * ( w(k,j,i+2) - w(k,j,i-1) ) & |
---|
5115 | + ( w(k,j,i+3) - w(k,j,i-2) ) ) * adv_mom_5 |
---|
5116 | |
---|
5117 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
---|
5118 | flux_n(k) = v_comp * ( & |
---|
5119 | 37.0_wp * ( w(k,j+1,i) + w(k,j,i) ) & |
---|
5120 | - 8.0_wp * ( w(k,j+2,i) + w(k,j-1,i) ) & |
---|
5121 | + ( w(k,j+3,i) + w(k,j-2,i) ) ) * adv_mom_5 |
---|
5122 | |
---|
5123 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
5124 | 10.0_wp * ( w(k,j+1,i) - w(k,j,i) ) & |
---|
5125 | - 5.0_wp * ( w(k,j+2,i) - w(k,j-1,i) ) & |
---|
5126 | + ( w(k,j+3,i) - w(k,j-2,i) ) ) * adv_mom_5 |
---|
5127 | ! |
---|
5128 | !-- k index has to be modified near bottom and top, else array |
---|
5129 | !-- subscripts will be exceeded. |
---|
5130 | ibit35 = IBITS(advc_flags_2(k,j,i),3,1) |
---|
5131 | ibit34 = IBITS(advc_flags_2(k,j,i),2,1) |
---|
5132 | ibit33 = IBITS(advc_flags_2(k,j,i),1,1) |
---|
5133 | |
---|
5134 | k_ppp = k + 3 * ibit35 |
---|
5135 | k_pp = k + 2 * ( 1 - ibit33 ) |
---|
5136 | k_mm = k - 2 * ibit35 |
---|
5137 | |
---|
5138 | w_comp = w(k+1,j,i) + w(k,j,i) |
---|
5139 | flux_t(k) = w_comp * rho_air(k+1) * ( & |
---|
5140 | ( 37.0_wp * ibit35 * adv_mom_5 & |
---|
5141 | + 7.0_wp * ibit34 * adv_mom_3 & |
---|
5142 | + ibit33 * adv_mom_1 & |
---|
5143 | ) * & |
---|
5144 | ( w(k+1,j,i) + w(k,j,i) ) & |
---|
5145 | - ( 8.0_wp * ibit35 * adv_mom_5 & |
---|
5146 | + ibit34 * adv_mom_3 & |
---|
5147 | ) * & |
---|
5148 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
---|
5149 | + ( ibit35 * adv_mom_5 & |
---|
5150 | ) * & |
---|
5151 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
---|
5152 | ) |
---|
5153 | |
---|
5154 | diss_t(k) = - ABS( w_comp ) * rho_air(k+1) * ( & |
---|
5155 | ( 10.0_wp * ibit35 * adv_mom_5 & |
---|
5156 | + 3.0_wp * ibit34 * adv_mom_3 & |
---|
5157 | + ibit33 * adv_mom_1 & |
---|
5158 | ) * & |
---|
5159 | ( w(k+1,j,i) - w(k,j,i) ) & |
---|
5160 | - ( 5.0_wp * ibit35 * adv_mom_5 & |
---|
5161 | + ibit34 * adv_mom_3 & |
---|
5162 | ) * & |
---|
5163 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
---|
5164 | + ( ibit35 * adv_mom_5 & |
---|
5165 | ) * & |
---|
5166 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
---|
5167 | ) |
---|
5168 | ! |
---|
5169 | !-- Calculate the divergence of the velocity field. A respective |
---|
5170 | !-- correction is needed to overcome numerical instabilities caused |
---|
5171 | !-- by a not sufficient reduction of divergences near topography. |
---|
5172 | div = ( ( u_comp + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
---|
5173 | + ( v_comp + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
---|
5174 | + ( w_comp * rho_air(k+1) - & |
---|
5175 | ( w(k,j,i) + w(k-1,j,i) ) * rho_air(k) & |
---|
5176 | ) * drho_air_zw(k) * ddzu(k+1) & |
---|
5177 | ) * 0.5_wp |
---|
5178 | |
---|
5179 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
5180 | ( flux_r(k) + diss_r(k) & |
---|
5181 | - swap_flux_x_local_w(k,j) - swap_diss_x_local_w(k,j) & |
---|
5182 | ) * ddx & |
---|
5183 | + ( flux_n(k) + diss_n(k) & |
---|
5184 | - swap_flux_y_local_w(k) - swap_diss_y_local_w(k) & |
---|
5185 | ) * ddy & |
---|
5186 | + ( ( flux_t(k) + diss_t(k) ) & |
---|
5187 | - ( flux_d + diss_d ) & |
---|
5188 | ) * drho_air_zw(k) * ddzu(k+1) & |
---|
5189 | ) + div * w(k,j,i) |
---|
5190 | |
---|
5191 | swap_flux_x_local_w(k,j) = flux_r(k) |
---|
5192 | swap_diss_x_local_w(k,j) = diss_r(k) |
---|
5193 | swap_flux_y_local_w(k) = flux_n(k) |
---|
5194 | swap_diss_y_local_w(k) = diss_n(k) |
---|
5195 | flux_d = flux_t(k) |
---|
5196 | diss_d = diss_t(k) |
---|
5197 | |
---|
5198 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
---|
5199 | + ( flux_t(k) & |
---|
5200 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
---|
5201 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
---|
5202 | + diss_t(k) & |
---|
5203 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
---|
5204 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
---|
5205 | ) * weight_substep(intermediate_timestep_count) |
---|
5206 | |
---|
5207 | ENDDO |
---|
5208 | ENDDO |
---|
5209 | ENDDO |
---|
5210 | |
---|
5211 | END SUBROUTINE advec_w_ws |
---|
5212 | |
---|
5213 | END MODULE advec_ws |
---|