1 | !> @file surface_layer_fluxes_mod.f90 |
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2 | !------------------------------------------------------------------------------! |
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3 | ! This file is part of PALM. |
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4 | ! |
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5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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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 1997-2017 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: surface_layer_fluxes_mod.f90 2299 2017-06-29 10:14:38Z maronga $ |
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27 | ! Adjusted for allow separate spinups of LSM and atmosphere code |
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28 | ! |
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29 | ! 2292 2017-06-20 09:51:42Z schwenkel |
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30 | ! Implementation of new microphysic scheme: cloud_scheme = 'morrison' |
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31 | ! includes two more prognostic equations for cloud drop concentration (nc) |
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32 | ! and cloud water content (qc). |
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33 | ! |
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34 | ! 2281 2017-06-13 11:34:50Z suehring |
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35 | ! Clean-up unnecessary index access to surface type |
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36 | ! |
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37 | ! 2233 2017-05-30 18:08:54Z suehring |
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38 | ! |
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39 | ! 2232 2017-05-30 17:47:52Z suehring |
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40 | ! Adjustments to new surface concept |
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41 | ! OpenMP bugfix |
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42 | ! |
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43 | ! 2118 2017-01-17 16:38:49Z raasch |
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44 | ! OpenACC directives and related code removed |
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45 | ! |
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46 | ! 2091 2016-12-21 16:38:18Z suehring |
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47 | ! Bugfix in calculation of vsws ( incorrect linear interpolation of us ) |
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48 | ! |
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49 | ! 2076 2016-12-02 13:54:20Z raasch |
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50 | ! further openmp bugfix for lookup method |
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51 | ! |
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52 | ! 2073 2016-11-30 14:34:05Z raasch |
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53 | ! openmp bugfix for lookup method |
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54 | ! |
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55 | ! 2037 2016-10-26 11:15:40Z knoop |
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56 | ! Anelastic approximation implemented |
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57 | ! |
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58 | ! 2011 2016-09-19 17:29:57Z kanani |
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59 | ! Flag urban_surface is now defined in module control_parameters. |
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60 | ! |
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61 | ! 2007 2016-08-24 15:47:17Z kanani |
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62 | ! Account for urban surface model in computation of vertical kinematic heatflux |
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63 | ! |
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64 | ! 2000 2016-08-20 18:09:15Z knoop |
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65 | ! Forced header and separation lines into 80 columns |
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66 | ! |
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67 | ! 1992 2016-08-12 15:14:59Z suehring |
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68 | ! Minor bug, declaration of look-up index as INTEGER |
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69 | ! |
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70 | ! 1960 2016-07-12 16:34:24Z suehring |
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71 | ! Treat humidity and passive scalar separately |
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72 | ! |
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73 | ! 1929 2016-06-09 16:25:25Z suehring |
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74 | ! Bugfix: avoid segmentation fault in case one grid point is horizontally |
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75 | ! completely surrounded by topography |
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76 | ! |
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77 | ! 1920 2016-05-30 10:50:15Z suehring |
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78 | ! Avoid segmentation fault (see change in 1915) by different initialization of |
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79 | ! us instead of adding a very small number in the denominator |
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80 | ! |
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81 | ! 1915 2016-05-27 11:05:02Z suehring |
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82 | ! Bugfix: avoid segmentation fault in case of most_method = 'circular' at first |
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83 | ! timestep |
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84 | ! |
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85 | ! 1850 2016-04-08 13:29:27Z maronga |
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86 | ! Module renamed |
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87 | ! |
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88 | ! |
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89 | ! 1822 2016-04-07 07:49:42Z hoffmann |
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90 | ! icloud_scheme replaced by microphysics_* |
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91 | ! |
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92 | ! 1788 2016-03-10 11:01:04Z maronga |
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93 | ! Added parameter z0q which replaces z0h in the similarity functions for |
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94 | ! humidity. |
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95 | ! Syntax layout improved. |
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96 | ! |
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97 | ! 1757 2016-02-22 15:49:32Z maronga |
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98 | ! Minor fixes. |
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99 | ! |
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100 | ! 1749 2016-02-09 12:19:56Z raasch |
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101 | ! further OpenACC adjustments |
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102 | ! |
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103 | ! 1747 2016-02-08 12:25:53Z raasch |
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104 | ! adjustments for OpenACC usage |
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105 | ! |
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106 | ! 1709 2015-11-04 14:47:01Z maronga |
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107 | ! Bugfix: division by zero could occur when calculating rib at low wind speeds |
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108 | ! Bugfix: calculation of uv_total for neutral = .T., initial value for ol for |
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109 | ! neutral = .T. |
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110 | ! |
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111 | ! 1705 2015-11-02 14:28:56Z maronga |
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112 | ! Typo removed |
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113 | ! |
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114 | ! 1697 2015-10-28 17:14:10Z raasch |
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115 | ! FORTRAN and OpenMP errors removed |
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116 | ! |
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117 | ! 1696 2015-10-27 10:03:34Z maronga |
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118 | ! Modularized and completely re-written version of prandtl_fluxes.f90. In the |
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119 | ! course of the re-writing two additional methods have been implemented. See |
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120 | ! updated description. |
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121 | ! |
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122 | ! 1551 2015-03-03 14:18:16Z maronga |
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123 | ! Removed land surface model part. The surface fluxes are now always calculated |
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124 | ! within prandtl_fluxes, based on the given surface temperature/humidity (which |
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125 | ! is either provided by the land surface model, by large scale forcing data, or |
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126 | ! directly prescribed by the user. |
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127 | ! |
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128 | ! 1496 2014-12-02 17:25:50Z maronga |
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129 | ! Adapted for land surface model |
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130 | ! |
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131 | ! 1494 2014-11-21 17:14:03Z maronga |
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132 | ! Bugfixes: qs is now calculated before calculation of Rif. calculation of |
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133 | ! buoyancy flux in Rif corrected (added missing humidity term), allow use of |
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134 | ! topography for coupled runs (not tested) |
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135 | ! |
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136 | ! 1361 2014-04-16 15:17:48Z hoffmann |
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137 | ! Bugfix: calculation of turbulent fluxes of rain water content (qrsws) and rain |
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138 | ! drop concentration (nrsws) added |
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139 | ! |
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140 | ! 1340 2014-03-25 19:45:13Z kanani |
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141 | ! REAL constants defined as wp-kind |
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142 | ! |
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143 | ! 1320 2014-03-20 08:40:49Z raasch |
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144 | ! ONLY-attribute added to USE-statements, |
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145 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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146 | ! kinds are defined in new module kinds, |
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147 | ! old module precision_kind is removed, |
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148 | ! revision history before 2012 removed, |
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149 | ! comment fields (!:) to be used for variable explanations added to |
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150 | ! all variable declaration statements |
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151 | ! |
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152 | ! 1276 2014-01-15 13:40:41Z heinze |
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153 | ! Use LSF_DATA also in case of Dirichlet bottom boundary condition for scalars |
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154 | ! |
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155 | ! 1257 2013-11-08 15:18:40Z raasch |
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156 | ! openACC "kernels do" replaced by "kernels loop", "loop independent" added |
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157 | ! |
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158 | ! 1036 2012-10-22 13:43:42Z raasch |
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159 | ! code put under GPL (PALM 3.9) |
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160 | ! |
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161 | ! 1015 2012-09-27 09:23:24Z raasch |
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162 | ! OpenACC statements added |
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163 | ! |
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164 | ! 978 2012-08-09 08:28:32Z fricke |
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165 | ! roughness length for scalar quantities z0h added |
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166 | ! |
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167 | ! Revision 1.1 1998/01/23 10:06:06 raasch |
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168 | ! Initial revision |
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169 | ! |
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170 | ! |
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171 | ! Description: |
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172 | ! ------------ |
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173 | !> Diagnostic computation of vertical fluxes in the constant flux layer from the |
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174 | !> values of the variables at grid point k=1. Three different methods are |
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175 | !> available: |
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176 | !> 1) the "old" version (most_method = 'circular') which is fast, but inaccurate |
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177 | !> 2) a Newton iteration method (most_method = 'newton'), which is accurate, but |
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178 | !> slower |
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179 | !> 3) a method using a lookup table which is fast and accurate. Note, however, |
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180 | !> that this method cannot be used in case of roughness heterogeneity |
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181 | !> |
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182 | !> @todo (re)move large_scale_forcing actions |
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183 | !> @todo check/optimize OpenMP directives |
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184 | !------------------------------------------------------------------------------! |
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185 | MODULE surface_layer_fluxes_mod |
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186 | |
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187 | USE arrays_3d, & |
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188 | ONLY: e, kh, nc, nr, pt, q, ql, qc, qr, s, u, v, vpt, w, zu, zw, & |
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189 | drho_air_zw, rho_air_zw |
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190 | |
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191 | USE cloud_parameters, & |
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192 | ONLY: l_d_cp, pt_d_t |
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193 | |
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194 | USE constants, & |
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195 | ONLY: pi |
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196 | |
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197 | USE cpulog |
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198 | |
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199 | USE control_parameters, & |
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200 | ONLY: cloud_physics, constant_heatflux, constant_scalarflux, & |
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201 | constant_waterflux, coupling_mode, g, humidity, ibc_e_b, & |
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202 | ibc_pt_b, initializing_actions, kappa, & |
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203 | intermediate_timestep_count, intermediate_timestep_count_max, & |
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204 | land_surface, large_scale_forcing, lsf_surf, & |
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205 | message_string, microphysics_morrison, microphysics_seifert, & |
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206 | most_method, neutral, passive_scalar, pt_surface, q_surface, & |
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207 | run_coupled, surface_pressure, simulated_time, terminate_run, & |
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208 | time_since_reference_point, urban_surface, zeta_max, zeta_min |
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209 | |
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210 | USE grid_variables, & |
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211 | ONLY: dx, dy |
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212 | |
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213 | USE indices, & |
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214 | ONLY: nxl, nxr, nys, nyn, nzb |
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215 | |
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216 | USE kinds |
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217 | |
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218 | USE pegrid |
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219 | |
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220 | USE land_surface_model_mod, & |
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221 | ONLY: aero_resist_kray, skip_time_do_lsm |
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222 | |
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223 | USE surface_mod, & |
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224 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_type, & |
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225 | surf_usm_h, surf_usm_v |
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226 | |
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227 | |
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228 | IMPLICIT NONE |
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229 | |
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230 | INTEGER(iwp) :: i !< loop index x direction |
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231 | INTEGER(iwp) :: j !< loop index y direction |
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232 | INTEGER(iwp) :: k !< loop index z direction |
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233 | INTEGER(iwp) :: l !< loop index for surf type |
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234 | INTEGER(iwp) :: li_bnd = 7500 !< Lookup table index of the last time step |
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235 | |
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236 | INTEGER(iwp), PARAMETER :: num_steps = 15000 !< number of steps in the lookup table |
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237 | |
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238 | LOGICAL :: coupled_run !< Flag for coupled atmosphere-ocean runs |
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239 | LOGICAL :: downward = .FALSE.!< Flag indicating downward-facing horizontal surface |
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240 | LOGICAL :: mom_uv = .FALSE. !< Flag indicating calculation of usvs and vsus at vertical surfaces |
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241 | LOGICAL :: mom_w = .FALSE. !< Flag indicating calculation of wsus and wsvs at vertical surfaces |
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242 | LOGICAL :: mom_tke = .FALSE. !< Flag indicating calculation of momentum fluxes at vertical surfaces used for TKE production |
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243 | LOGICAL :: surf_vertical !< Flag indicating vertical surfaces |
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244 | |
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245 | REAL(wp), DIMENSION(0:num_steps-1) :: rib_tab, & !< Lookup table bulk Richardson number |
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246 | ol_tab !< Lookup table values of L |
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247 | |
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248 | REAL(wp) :: e_s, & !< Saturation water vapor pressure |
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249 | ol_max = 1.0E6_wp, & !< Maximum Obukhov length |
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250 | rib_max, & !< Maximum Richardson number in lookup table |
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251 | rib_min, & !< Minimum Richardson number in lookup table |
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252 | z_mo !< Height of the constant flux layer where MOST is assumed |
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253 | |
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254 | TYPE(surf_type), POINTER :: surf !< surf-type array, used to generalize subroutines |
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255 | |
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256 | |
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257 | SAVE |
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258 | |
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259 | PRIVATE |
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260 | |
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261 | PUBLIC init_surface_layer_fluxes, surface_layer_fluxes |
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262 | |
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263 | INTERFACE init_surface_layer_fluxes |
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264 | MODULE PROCEDURE init_surface_layer_fluxes |
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265 | END INTERFACE init_surface_layer_fluxes |
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266 | |
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267 | INTERFACE surface_layer_fluxes |
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268 | MODULE PROCEDURE surface_layer_fluxes |
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269 | END INTERFACE surface_layer_fluxes |
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270 | |
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271 | |
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272 | CONTAINS |
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273 | |
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274 | |
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275 | !------------------------------------------------------------------------------! |
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276 | ! Description: |
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277 | ! ------------ |
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278 | !> Main routine to compute the surface fluxes |
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279 | !------------------------------------------------------------------------------! |
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280 | SUBROUTINE surface_layer_fluxes |
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281 | |
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282 | IMPLICIT NONE |
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283 | |
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284 | surf_vertical = .FALSE. |
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285 | downward = .FALSE. |
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286 | ! |
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287 | !-- In case cloud physics is used, it is required to derive potential |
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288 | !-- temperature and specific humidity at first grid level from the fields pt |
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289 | !-- and q |
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290 | IF ( cloud_physics ) THEN |
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291 | ! |
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292 | !-- First call for horizontal default-type surfaces (l=0 - upward facing, |
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293 | !-- l=1 - downward facing) |
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294 | DO l = 0, 1 |
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295 | IF ( surf_def_h(l)%ns >= 1 ) THEN |
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296 | surf => surf_def_h(l) |
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297 | CALL calc_pt_q |
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298 | ENDIF |
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299 | ENDDO |
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300 | ! |
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301 | !-- Call for natural-type surfaces |
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302 | IF ( surf_lsm_h%ns >= 1 ) THEN |
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303 | surf => surf_lsm_h |
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304 | CALL calc_pt_q |
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305 | ENDIF |
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306 | ! |
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307 | !-- Call for urban-type surfaces |
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308 | IF ( surf_usm_h%ns >= 1 ) THEN |
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309 | surf => surf_usm_h |
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310 | CALL calc_pt_q |
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311 | ENDIF |
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312 | ENDIF |
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313 | |
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314 | ! |
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315 | !-- First, calculate the new Obukhov length, then new friction velocity, |
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316 | !-- followed by the new scaling parameters (th*, q*, etc.), and the new |
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317 | !-- surface fluxes if required. The old routine ("circular") requires a |
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318 | !-- different order of calls as the scaling parameters from the previous time |
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319 | !-- steps are used to calculate the Obukhov length |
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320 | |
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321 | ! |
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322 | !-- Depending on setting of most_method use the "old" routine |
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323 | !-- Note, each routine is called for different surface types. |
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324 | !-- First call for default-type horizontal surfaces, for natural- and |
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325 | !-- urban-type surfaces. Note, at this place only upward-facing horizontal |
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326 | !-- surfaces are treted. |
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327 | IF ( most_method == 'circular' ) THEN |
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328 | ! |
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329 | !-- Default-type upward-facing horizontal surfaces |
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330 | IF ( surf_def_h(0)%ns >= 1 ) THEN |
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331 | surf => surf_def_h(0) |
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332 | CALL calc_scaling_parameters |
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333 | CALL calc_uvw_abs |
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334 | IF ( .NOT. neutral ) CALL calc_ol |
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335 | CALL calc_us |
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336 | CALL calc_surface_fluxes |
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337 | ENDIF |
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338 | ! |
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339 | !-- Natural-type horizontal surfaces |
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340 | IF ( surf_lsm_h%ns >= 1 ) THEN |
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341 | surf => surf_lsm_h |
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342 | CALL calc_scaling_parameters |
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343 | CALL calc_uvw_abs |
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344 | IF ( .NOT. neutral ) CALL calc_ol |
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345 | CALL calc_us |
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346 | CALL calc_surface_fluxes |
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347 | ENDIF |
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348 | ! |
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349 | !-- Urban-type horizontal surfaces |
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350 | IF ( surf_usm_h%ns >= 1 ) THEN |
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351 | surf => surf_usm_h |
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352 | CALL calc_scaling_parameters |
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353 | CALL calc_uvw_abs |
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354 | IF ( .NOT. neutral ) CALL calc_ol |
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355 | CALL calc_us |
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356 | CALL calc_surface_fluxes |
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357 | ENDIF |
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358 | ! |
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359 | !-- Use either Newton iteration or a lookup table for the bulk Richardson |
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360 | !-- number to calculate the Obukhov length |
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361 | ELSEIF ( most_method == 'newton' .OR. most_method == 'lookup' ) THEN |
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362 | ! |
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363 | !-- Default-type upward-facing horizontal surfaces |
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364 | IF ( surf_def_h(0)%ns >= 1 ) THEN |
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365 | surf => surf_def_h(0) |
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366 | CALL calc_uvw_abs |
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367 | IF ( .NOT. neutral ) CALL calc_ol |
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368 | CALL calc_us |
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369 | CALL calc_scaling_parameters |
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370 | CALL calc_surface_fluxes |
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371 | ENDIF |
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372 | ! |
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373 | !-- Natural-type horizontal surfaces |
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374 | IF ( surf_lsm_h%ns >= 1 ) THEN |
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375 | surf => surf_lsm_h |
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376 | CALL calc_uvw_abs |
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377 | IF ( .NOT. neutral ) CALL calc_ol |
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378 | CALL calc_us |
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379 | CALL calc_scaling_parameters |
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380 | CALL calc_surface_fluxes |
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381 | ENDIF |
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382 | ! |
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383 | !-- Urban-type horizontal surfaces |
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384 | IF ( surf_usm_h%ns >= 1 ) THEN |
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385 | surf => surf_usm_h |
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386 | CALL calc_uvw_abs |
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387 | IF ( .NOT. neutral ) CALL calc_ol |
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388 | CALL calc_us |
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389 | CALL calc_scaling_parameters |
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390 | CALL calc_surface_fluxes |
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391 | ENDIF |
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392 | |
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393 | ENDIF |
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394 | ! |
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395 | !-- Treat downward-facing horizontal surfaces. Note, so far, these are |
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396 | !-- always default type. Stratification is not considered |
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397 | !-- in this case, hence, no further distinction between different |
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398 | !-- most_method is required. |
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399 | IF ( surf_def_h(1)%ns >= 1 ) THEN |
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400 | downward = .TRUE. |
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401 | surf => surf_def_h(1) |
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402 | CALL calc_uvw_abs |
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403 | CALL calc_us |
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404 | CALL calc_surface_fluxes |
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405 | downward = .FALSE. |
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406 | ENDIF |
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407 | ! |
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408 | !-- Calculate surfaces fluxes at vertical surfaces for momentum |
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409 | !-- and subgrid-scale TKE. |
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410 | !-- No stability is considered. Therefore, scaling parameters and Obukhov- |
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411 | !-- length do not need to be calculated and no distinction in 'circular', |
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412 | !-- 'Newton' or 'lookup' is necessary so far. |
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413 | !-- Note, this will change if stability is once considered. |
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414 | surf_vertical = .TRUE. |
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415 | ! |
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416 | !-- Calculate horizontal momentum fluxes at north- and south-facing |
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417 | !-- surfaces(usvs). |
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418 | !-- For default-type surfaces |
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419 | mom_uv = .TRUE. |
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420 | DO l = 0, 1 |
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421 | IF ( surf_def_v(l)%ns >= 1 ) THEN |
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422 | surf => surf_def_v(l) |
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423 | ! |
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424 | !-- Compute surface-parallel velocity |
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425 | CALL calc_uvw_abs_v_ugrid |
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426 | ! |
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427 | !-- Compute respective friction velocity on staggered grid |
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428 | CALL calc_us |
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429 | ! |
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430 | !-- Compute respective surface fluxes for momentum and TKE |
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431 | CALL calc_surface_fluxes |
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432 | ENDIF |
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433 | ENDDO |
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434 | ! |
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435 | !-- For natural-type surfaces. Please note, even though stability is not |
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436 | !-- considered for the calculation of momentum fluxes at vertical surfaces, |
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437 | !-- scaling parameters and Obukov length are calculated nevertheless in this |
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438 | !-- case. This is due to the requirement of ts in parameterization of heat |
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439 | !-- flux in land-surface model in case of aero_resist_kray is not true. |
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440 | IF ( .NOT. aero_resist_kray ) THEN |
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441 | IF ( most_method == 'circular' ) THEN |
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442 | DO l = 0, 1 |
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443 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
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444 | surf => surf_lsm_v(l) |
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445 | ! |
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446 | !-- Compute scaling parameters |
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447 | CALL calc_scaling_parameters |
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448 | ! |
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449 | !-- Compute surface-parallel velocity |
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450 | CALL calc_uvw_abs_v_ugrid |
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451 | ! |
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452 | !-- Compute Obukhov length |
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453 | IF ( .NOT. neutral ) CALL calc_ol |
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454 | ! |
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455 | !-- Compute respective friction velocity on staggered grid |
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456 | CALL calc_us |
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457 | ! |
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458 | !-- Compute respective surface fluxes for momentum and TKE |
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459 | CALL calc_surface_fluxes |
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460 | ENDIF |
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461 | ENDDO |
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462 | ELSE |
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463 | DO l = 0, 1 |
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464 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
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465 | surf => surf_lsm_v(l) |
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466 | ! |
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467 | !-- Compute surface-parallel velocity |
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468 | CALL calc_uvw_abs_v_ugrid |
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469 | ! |
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470 | !-- Compute Obukhov length |
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471 | IF ( .NOT. neutral ) CALL calc_ol |
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472 | ! |
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473 | !-- Compute respective friction velocity on staggered grid |
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474 | CALL calc_us |
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475 | ! |
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476 | !-- Compute scaling parameters |
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477 | CALL calc_scaling_parameters |
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478 | ! |
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479 | !-- Compute respective surface fluxes for momentum and TKE |
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480 | CALL calc_surface_fluxes |
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481 | ENDIF |
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482 | ENDDO |
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483 | ENDIF |
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484 | ! |
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485 | !-- No ts is required, so scaling parameters and Obukhov length do not need |
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486 | !-- to be computed. |
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487 | ELSE |
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488 | DO l = 0, 1 |
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489 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
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490 | surf => surf_lsm_v(l) |
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491 | ! |
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492 | !-- Compute surface-parallel velocity |
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493 | CALL calc_uvw_abs_v_ugrid |
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494 | ! |
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495 | !-- Compute respective friction velocity on staggered grid |
---|
496 | CALL calc_us |
---|
497 | ! |
---|
498 | !-- Compute respective surface fluxes for momentum and TKE |
---|
499 | CALL calc_surface_fluxes |
---|
500 | ENDIF |
---|
501 | ENDDO |
---|
502 | ENDIF |
---|
503 | ! |
---|
504 | !-- For urban-type surfaces |
---|
505 | DO l = 0, 1 |
---|
506 | IF ( surf_usm_v(l)%ns >= 1 ) THEN |
---|
507 | surf => surf_usm_v(l) |
---|
508 | ! |
---|
509 | !-- Compute surface-parallel velocity |
---|
510 | CALL calc_uvw_abs_v_ugrid |
---|
511 | ! |
---|
512 | !-- Compute respective friction velocity on staggered grid |
---|
513 | CALL calc_us |
---|
514 | ! |
---|
515 | !-- Compute respective surface fluxes for momentum and TKE |
---|
516 | CALL calc_surface_fluxes |
---|
517 | ENDIF |
---|
518 | ENDDO |
---|
519 | ! |
---|
520 | !-- Calculate horizontal momentum fluxes at east- and west-facing |
---|
521 | !-- surfaces (vsus). |
---|
522 | !-- For default-type surfaces |
---|
523 | DO l = 2, 3 |
---|
524 | IF ( surf_def_v(l)%ns >= 1 ) THEN |
---|
525 | surf => surf_def_v(l) |
---|
526 | ! |
---|
527 | !-- Compute surface-parallel velocity |
---|
528 | CALL calc_uvw_abs_v_vgrid |
---|
529 | ! |
---|
530 | !-- Compute respective friction velocity on staggered grid |
---|
531 | CALL calc_us |
---|
532 | ! |
---|
533 | !-- Compute respective surface fluxes for momentum and TKE |
---|
534 | CALL calc_surface_fluxes |
---|
535 | ENDIF |
---|
536 | ENDDO |
---|
537 | ! |
---|
538 | !-- For natural-type surfaces. Please note, even though stability is not |
---|
539 | !-- considered for the calculation of momentum fluxes at vertical surfaces, |
---|
540 | !-- scaling parameters and Obukov length are calculated nevertheless in this |
---|
541 | !-- case. This is due to the requirement of ts in parameterization of heat |
---|
542 | !-- flux in land-surface model in case of aero_resist_kray is not true. |
---|
543 | IF ( .NOT. aero_resist_kray ) THEN |
---|
544 | IF ( most_method == 'circular' ) THEN |
---|
545 | DO l = 2, 3 |
---|
546 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
---|
547 | surf => surf_lsm_v(l) |
---|
548 | ! |
---|
549 | !-- Compute scaling parameters |
---|
550 | CALL calc_scaling_parameters |
---|
551 | ! |
---|
552 | !-- Compute surface-parallel velocity |
---|
553 | CALL calc_uvw_abs_v_vgrid |
---|
554 | ! |
---|
555 | !-- Compute Obukhov length |
---|
556 | IF ( .NOT. neutral ) CALL calc_ol |
---|
557 | ! |
---|
558 | !-- Compute respective friction velocity on staggered grid |
---|
559 | CALL calc_us |
---|
560 | ! |
---|
561 | !-- Compute respective surface fluxes for momentum and TKE |
---|
562 | CALL calc_surface_fluxes |
---|
563 | ENDIF |
---|
564 | ENDDO |
---|
565 | ELSE |
---|
566 | DO l = 2, 3 |
---|
567 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
---|
568 | surf => surf_lsm_v(l) |
---|
569 | ! |
---|
570 | !-- Compute surface-parallel velocity |
---|
571 | CALL calc_uvw_abs_v_vgrid |
---|
572 | ! |
---|
573 | !-- Compute Obukhov length |
---|
574 | IF ( .NOT. neutral ) CALL calc_ol |
---|
575 | ! |
---|
576 | !-- Compute respective friction velocity on staggered grid |
---|
577 | CALL calc_us |
---|
578 | ! |
---|
579 | !-- Compute scaling parameters |
---|
580 | CALL calc_scaling_parameters |
---|
581 | ! |
---|
582 | !-- Compute respective surface fluxes for momentum and TKE |
---|
583 | CALL calc_surface_fluxes |
---|
584 | ENDIF |
---|
585 | ENDDO |
---|
586 | ENDIF |
---|
587 | ELSE |
---|
588 | DO l = 2, 3 |
---|
589 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
---|
590 | surf => surf_lsm_v(l) |
---|
591 | ! |
---|
592 | !-- Compute surface-parallel velocity |
---|
593 | CALL calc_uvw_abs_v_vgrid |
---|
594 | ! |
---|
595 | !-- Compute respective friction velocity on staggered grid |
---|
596 | CALL calc_us |
---|
597 | ! |
---|
598 | !-- Compute respective surface fluxes for momentum and TKE |
---|
599 | CALL calc_surface_fluxes |
---|
600 | ENDIF |
---|
601 | ENDDO |
---|
602 | ENDIF |
---|
603 | ! |
---|
604 | !-- For urban-type surfaces |
---|
605 | DO l = 2, 3 |
---|
606 | IF ( surf_usm_v(l)%ns >= 1 ) THEN |
---|
607 | surf => surf_usm_v(l) |
---|
608 | ! |
---|
609 | !-- Compute surface-parallel velocity |
---|
610 | CALL calc_uvw_abs_v_vgrid |
---|
611 | ! |
---|
612 | !-- Compute respective friction velocity on staggered grid |
---|
613 | CALL calc_us |
---|
614 | ! |
---|
615 | !-- Compute respective surface fluxes for momentum and TKE |
---|
616 | CALL calc_surface_fluxes |
---|
617 | ENDIF |
---|
618 | ENDDO |
---|
619 | mom_uv = .FALSE. |
---|
620 | ! |
---|
621 | !-- Calculate horizontal momentum fluxes of w (wsus and wsvs) at vertial |
---|
622 | !-- surfaces. |
---|
623 | mom_w = .TRUE. |
---|
624 | ! |
---|
625 | !-- Default-type surfaces |
---|
626 | DO l = 0, 3 |
---|
627 | IF ( surf_def_v(l)%ns >= 1 ) THEN |
---|
628 | surf => surf_def_v(l) |
---|
629 | CALL calc_uvw_abs_v_wgrid |
---|
630 | CALL calc_us |
---|
631 | CALL calc_surface_fluxes |
---|
632 | ENDIF |
---|
633 | ENDDO |
---|
634 | ! |
---|
635 | !-- Natural-type surfaces |
---|
636 | DO l = 0, 3 |
---|
637 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
---|
638 | surf => surf_lsm_v(l) |
---|
639 | CALL calc_uvw_abs_v_wgrid |
---|
640 | CALL calc_us |
---|
641 | CALL calc_surface_fluxes |
---|
642 | ENDIF |
---|
643 | ENDDO |
---|
644 | ! |
---|
645 | !-- Urban-type surfaces |
---|
646 | DO l = 0, 3 |
---|
647 | IF ( surf_usm_v(l)%ns >= 1 ) THEN |
---|
648 | surf => surf_usm_v(l) |
---|
649 | CALL calc_uvw_abs_v_wgrid |
---|
650 | CALL calc_us |
---|
651 | CALL calc_surface_fluxes |
---|
652 | ENDIF |
---|
653 | ENDDO |
---|
654 | mom_w = .FALSE. |
---|
655 | ! |
---|
656 | !-- Calculate momentum fluxes usvs, vsus, wsus and wsvs at vertical |
---|
657 | !-- surfaces for TKE production. Note, here, momentum fluxes are defined |
---|
658 | !-- at grid center and are not staggered as before. |
---|
659 | mom_tke = .TRUE. |
---|
660 | ! |
---|
661 | !-- Default-type surfaces |
---|
662 | DO l = 0, 3 |
---|
663 | IF ( surf_def_v(l)%ns >= 1 ) THEN |
---|
664 | surf => surf_def_v(l) |
---|
665 | CALL calc_uvw_abs_v_sgrid |
---|
666 | CALL calc_us |
---|
667 | CALL calc_surface_fluxes |
---|
668 | ENDIF |
---|
669 | ENDDO |
---|
670 | ! |
---|
671 | !-- Natural-type surfaces |
---|
672 | DO l = 0, 3 |
---|
673 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
---|
674 | surf => surf_lsm_v(l) |
---|
675 | CALL calc_uvw_abs_v_sgrid |
---|
676 | CALL calc_us |
---|
677 | CALL calc_surface_fluxes |
---|
678 | ENDIF |
---|
679 | ENDDO |
---|
680 | ! |
---|
681 | !-- Urban-type surfaces |
---|
682 | DO l = 0, 3 |
---|
683 | IF ( surf_usm_v(l)%ns >= 1 ) THEN |
---|
684 | surf => surf_usm_v(l) |
---|
685 | CALL calc_uvw_abs_v_sgrid |
---|
686 | CALL calc_us |
---|
687 | CALL calc_surface_fluxes |
---|
688 | ENDIF |
---|
689 | ENDDO |
---|
690 | mom_tke = .FALSE. |
---|
691 | |
---|
692 | |
---|
693 | END SUBROUTINE surface_layer_fluxes |
---|
694 | |
---|
695 | |
---|
696 | !------------------------------------------------------------------------------! |
---|
697 | ! Description: |
---|
698 | ! ------------ |
---|
699 | !> Initializing actions for the surface layer routine. Basically, this involves |
---|
700 | !> the preparation of a lookup table for the the bulk Richardson number vs |
---|
701 | !> Obukhov length L when using the lookup table method. |
---|
702 | !------------------------------------------------------------------------------! |
---|
703 | SUBROUTINE init_surface_layer_fluxes |
---|
704 | |
---|
705 | IMPLICIT NONE |
---|
706 | |
---|
707 | INTEGER(iwp) :: li, & !< Index for loop to create lookup table |
---|
708 | num_steps_n !< Number of non-stretched zeta steps |
---|
709 | |
---|
710 | LOGICAL :: terminate_run_l = .FALSE. !< Flag to terminate run (global) |
---|
711 | |
---|
712 | REAL(wp), PARAMETER :: zeta_stretch = -10.0_wp !< Start of stretching in the free convection limit |
---|
713 | |
---|
714 | REAL(wp), DIMENSION(:), ALLOCATABLE :: zeta_tmp |
---|
715 | |
---|
716 | |
---|
717 | REAL(wp) :: zeta_step, & !< Increment of zeta |
---|
718 | regr = 1.01_wp, & !< Stretching factor of zeta_step in the free convection limit |
---|
719 | regr_old = 1.0E9_wp, & !< Stretching factor of last iteration step |
---|
720 | z0h_min = 0.0_wp, & !< Minimum value of z0h to create table |
---|
721 | z0_min = 0.0_wp !< Minimum value of z0 to create table |
---|
722 | |
---|
723 | |
---|
724 | |
---|
725 | |
---|
726 | ! |
---|
727 | !-- In case of runs with neutral statification, set Obukhov length to a |
---|
728 | !-- large value |
---|
729 | IF ( neutral ) THEN |
---|
730 | IF ( surf_def_h(0)%ns >= 1 ) surf_def_h(0)%ol = 1.0E10_wp |
---|
731 | IF ( surf_lsm_h%ns >= 1 ) surf_lsm_h%ol = 1.0E10_wp |
---|
732 | IF ( surf_usm_h%ns >= 1 ) surf_usm_h%ol = 1.0E10_wp |
---|
733 | ENDIF |
---|
734 | |
---|
735 | IF ( most_method == 'lookup' ) THEN |
---|
736 | |
---|
737 | ! |
---|
738 | !-- Check for roughness heterogeneity. In that case terminate run and |
---|
739 | !-- inform user. Check for both, natural and non-natural walls. |
---|
740 | IF ( surf_def_h(0)%ns >= 1 ) THEN |
---|
741 | IF ( MINVAL( surf_def_h(0)%z0h ) /= MAXVAL( surf_def_h(0)%z0h ) .OR. & |
---|
742 | MINVAL( surf_def_h(0)%z0 ) /= MAXVAL( surf_def_h(0)%z0 ) ) THEN |
---|
743 | terminate_run_l = .TRUE. |
---|
744 | ENDIF |
---|
745 | ENDIF |
---|
746 | IF ( surf_lsm_h%ns >= 1 ) THEN |
---|
747 | IF ( MINVAL( surf_lsm_h%z0h ) /= MAXVAL( surf_lsm_h%z0h ) .OR. & |
---|
748 | MINVAL( surf_lsm_h%z0 ) /= MAXVAL( surf_lsm_h%z0 ) ) THEN |
---|
749 | terminate_run_l = .TRUE. |
---|
750 | ENDIF |
---|
751 | ENDIF |
---|
752 | IF ( surf_usm_h%ns >= 1 ) THEN |
---|
753 | IF ( MINVAL( surf_usm_h%z0h ) /= MAXVAL( surf_usm_h%z0h ) .OR. & |
---|
754 | MINVAL( surf_usm_h%z0 ) /= MAXVAL( surf_usm_h%z0 ) ) THEN |
---|
755 | terminate_run_l = .TRUE. |
---|
756 | ENDIF |
---|
757 | ENDIF |
---|
758 | ! |
---|
759 | !-- Check roughness homogeneity between differt surface types. |
---|
760 | IF ( surf_lsm_h%ns >= 1 .AND. surf_def_h(0)%ns >= 1 ) THEN |
---|
761 | IF ( MINVAL( surf_lsm_h%z0h ) /= MAXVAL( surf_def_h(0)%z0h ) .OR. & |
---|
762 | MINVAL( surf_lsm_h%z0 ) /= MAXVAL( surf_def_h(0)%z0 ) ) THEN |
---|
763 | terminate_run_l = .TRUE. |
---|
764 | ENDIF |
---|
765 | ENDIF |
---|
766 | IF ( surf_usm_h%ns >= 1 .AND. surf_def_h(0)%ns >= 1 ) THEN |
---|
767 | IF ( MINVAL( surf_usm_h%z0h ) /= MAXVAL( surf_def_h(0)%z0h ) .OR. & |
---|
768 | MINVAL( surf_usm_h%z0 ) /= MAXVAL( surf_def_h(0)%z0 ) ) THEN |
---|
769 | terminate_run_l = .TRUE. |
---|
770 | ENDIF |
---|
771 | ENDIF |
---|
772 | IF ( surf_usm_h%ns >= 1 .AND. surf_lsm_h%ns >= 1 ) THEN |
---|
773 | IF ( MINVAL( surf_usm_h%z0h ) /= MAXVAL( surf_lsm_h%z0h ) .OR. & |
---|
774 | MINVAL( surf_usm_h%z0 ) /= MAXVAL( surf_lsm_h%z0 ) ) THEN |
---|
775 | terminate_run_l = .TRUE. |
---|
776 | ENDIF |
---|
777 | ENDIF |
---|
778 | |
---|
779 | |
---|
780 | #if defined( __parallel ) |
---|
781 | ! |
---|
782 | !-- Make a logical OR for all processes. Force termiation of model if result |
---|
783 | !-- is TRUE |
---|
784 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
---|
785 | CALL MPI_ALLREDUCE( terminate_run_l, terminate_run, 1, MPI_LOGICAL, & |
---|
786 | MPI_LOR, comm2d, ierr ) |
---|
787 | #else |
---|
788 | terminate_run = terminate_run_l |
---|
789 | #endif |
---|
790 | |
---|
791 | IF ( terminate_run ) THEN |
---|
792 | message_string = 'most_method = "lookup" cannot be used in ' // & |
---|
793 | 'combination with a prescribed roughness ' // & |
---|
794 | 'heterogeneity' |
---|
795 | CALL message( 'surface_layer_fluxes', 'PA0417', 1, 2, 0, 6, 0 ) |
---|
796 | ENDIF |
---|
797 | |
---|
798 | ALLOCATE( zeta_tmp(0:num_steps-1) ) |
---|
799 | |
---|
800 | ! |
---|
801 | !-- Use the lowest possible value for z_mo |
---|
802 | k = nzb |
---|
803 | z_mo = zu(k+1) - zw(k) |
---|
804 | |
---|
805 | ! |
---|
806 | !-- Calculate z/L range from zeta_stretch to zeta_max using 90% of the |
---|
807 | !-- available steps (num_steps). The calculation is done with negative |
---|
808 | !-- values of zeta in order to simplify the stretching in the free |
---|
809 | !-- convection limit for the remaining 10% of steps. |
---|
810 | zeta_tmp(0) = - zeta_max |
---|
811 | num_steps_n = ( num_steps * 9 / 10 ) - 1 |
---|
812 | zeta_step = (zeta_max - zeta_stretch) / REAL(num_steps_n) |
---|
813 | |
---|
814 | DO li = 1, num_steps_n |
---|
815 | zeta_tmp(li) = zeta_tmp(li-1) + zeta_step |
---|
816 | ENDDO |
---|
817 | |
---|
818 | ! |
---|
819 | !-- Calculate stretching factor for the free convection range |
---|
820 | DO WHILE ( ABS( (regr-regr_old) / regr_old ) > 1.0E-10_wp ) |
---|
821 | regr_old = regr |
---|
822 | regr = ( 1.0_wp - ( -zeta_min / zeta_step ) * ( 1.0_wp - regr ) & |
---|
823 | )**( 10.0_wp / REAL(num_steps) ) |
---|
824 | ENDDO |
---|
825 | |
---|
826 | ! |
---|
827 | !-- Calculate z/L range from zeta_min to zeta_stretch |
---|
828 | DO li = num_steps_n+1, num_steps-1 |
---|
829 | zeta_tmp(li) = zeta_tmp(li-1) + zeta_step |
---|
830 | zeta_step = zeta_step * regr |
---|
831 | ENDDO |
---|
832 | |
---|
833 | ! |
---|
834 | !-- Save roughness lengths to temporary variables |
---|
835 | IF ( surf_def_h(0)%ns >= 1 ) THEN |
---|
836 | z0h_min = surf_def_h(0)%z0h(1) |
---|
837 | z0_min = surf_def_h(0)%z0(1) |
---|
838 | ELSEIF ( surf_lsm_h%ns >= 1 ) THEN |
---|
839 | z0h_min = surf_lsm_h%z0h(1) |
---|
840 | z0_min = surf_lsm_h%z0(1) |
---|
841 | ELSEIF ( surf_usm_h%ns >= 1 ) THEN |
---|
842 | z0h_min = surf_usm_h%z0h(1) |
---|
843 | z0_min = surf_usm_h%z0(1) |
---|
844 | ENDIF |
---|
845 | ! |
---|
846 | !-- Calculate lookup table for the Richardson number versus Obukhov length |
---|
847 | !-- The Richardson number (rib) is defined depending on the choice of |
---|
848 | !-- boundary conditions for temperature |
---|
849 | IF ( ibc_pt_b == 1 ) THEN |
---|
850 | DO li = 0, num_steps-1 |
---|
851 | ol_tab(li) = - z_mo / zeta_tmp(num_steps-1-li) |
---|
852 | rib_tab(li) = z_mo / ol_tab(li) / ( LOG( z_mo / z0_min ) & |
---|
853 | - psi_m( z_mo / ol_tab(li) ) & |
---|
854 | + psi_m( z0_min / ol_tab(li) ) & |
---|
855 | )**3 |
---|
856 | ENDDO |
---|
857 | ELSE |
---|
858 | DO li = 0, num_steps-1 |
---|
859 | ol_tab(li) = - z_mo / zeta_tmp(num_steps-1-li) |
---|
860 | rib_tab(li) = z_mo / ol_tab(li) * ( LOG( z_mo / z0h_min ) & |
---|
861 | - psi_h( z_mo / ol_tab(li) ) & |
---|
862 | + psi_h( z0h_min / ol_tab(li) ) & |
---|
863 | ) & |
---|
864 | / ( LOG( z_mo / z0_min ) & |
---|
865 | - psi_m( z_mo / ol_tab(li) ) & |
---|
866 | + psi_m( z0_min / ol_tab(li) ) & |
---|
867 | )**2 |
---|
868 | ENDDO |
---|
869 | ENDIF |
---|
870 | |
---|
871 | ! |
---|
872 | !-- Determine minimum values of rib in the lookup table. Set upper limit |
---|
873 | !-- to critical Richardson number (0.25) |
---|
874 | rib_min = MINVAL(rib_tab) |
---|
875 | rib_max = 0.25 !MAXVAL(rib_tab) |
---|
876 | |
---|
877 | DEALLOCATE( zeta_tmp ) |
---|
878 | ENDIF |
---|
879 | |
---|
880 | END SUBROUTINE init_surface_layer_fluxes |
---|
881 | |
---|
882 | |
---|
883 | !------------------------------------------------------------------------------! |
---|
884 | ! Description: |
---|
885 | ! ------------ |
---|
886 | !> Compute the absolute value of the horizontal velocity (relative to the |
---|
887 | !> surface) for horizontal surface elements. This is required by all methods. |
---|
888 | !------------------------------------------------------------------------------! |
---|
889 | SUBROUTINE calc_uvw_abs |
---|
890 | |
---|
891 | IMPLICIT NONE |
---|
892 | |
---|
893 | INTEGER(iwp) :: i !< running index x direction |
---|
894 | INTEGER(iwp) :: ibit !< flag to mask computation of relative velocity in case of downward-facing surfaces |
---|
895 | INTEGER(iwp) :: j !< running index y direction |
---|
896 | INTEGER(iwp) :: k !< running index z direction |
---|
897 | INTEGER(iwp) :: m !< running index surface elements |
---|
898 | |
---|
899 | ! |
---|
900 | !-- ibit is 1 for upward-facing surfaces, zero for downward-facing surfaces. |
---|
901 | ibit = MERGE( 1, 0, .NOT. downward ) |
---|
902 | |
---|
903 | DO m = 1, surf%ns |
---|
904 | |
---|
905 | i = surf%i(m) |
---|
906 | j = surf%j(m) |
---|
907 | k = surf%k(m) |
---|
908 | ! |
---|
909 | !-- Compute the absolute value of the horizontal velocity. |
---|
910 | !-- (relative to the surface in case the lower surface is the ocean). |
---|
911 | !-- Please note, in new surface modelling concept the index values changed, |
---|
912 | !-- i.e. the reference grid point is not the surface-grid point itself but |
---|
913 | !-- the first grid point outside of the topography. |
---|
914 | !-- Note, in case of coupled ocean-atmosphere simulations relative velocity |
---|
915 | !-- with respect to the ocean surface is used, hence, (k-1,j,i) values |
---|
916 | !-- are used to calculate the absolute velocity. |
---|
917 | !-- However, this do not apply for downward-facing walls. To mask this, |
---|
918 | !-- use ibit, which checks for upward/downward-facing surfaces. |
---|
919 | |
---|
920 | surf%uvw_abs(m) = SQRT( & |
---|
921 | ( 0.5_wp * ( u(k,j,i) + u(k,j,i+1) & |
---|
922 | - ( u(k-1,j,i) + u(k-1,j,i+1) & |
---|
923 | ) * ibit & |
---|
924 | ) & |
---|
925 | )**2 + & |
---|
926 | ( 0.5_wp * ( v(k,j,i) + v(k,j+1,i) & |
---|
927 | - ( v(k-1,j,i) + v(k-1,j+1,i) & |
---|
928 | ) * ibit & |
---|
929 | ) & |
---|
930 | )**2 & |
---|
931 | ) |
---|
932 | |
---|
933 | ENDDO |
---|
934 | |
---|
935 | END SUBROUTINE calc_uvw_abs |
---|
936 | |
---|
937 | |
---|
938 | !------------------------------------------------------------------------------! |
---|
939 | ! Description: |
---|
940 | ! ------------ |
---|
941 | !> Compute the absolute value of the horizontal velocity (relative to the |
---|
942 | !> surface) for horizontal surface elements. This is required by all methods. |
---|
943 | !------------------------------------------------------------------------------! |
---|
944 | SUBROUTINE calc_uvw_abs_v_ugrid |
---|
945 | |
---|
946 | IMPLICIT NONE |
---|
947 | |
---|
948 | INTEGER(iwp) :: i !< running index x direction |
---|
949 | INTEGER(iwp) :: j !< running index y direction |
---|
950 | INTEGER(iwp) :: k !< running index z direction |
---|
951 | INTEGER(iwp) :: m !< running index surface elements |
---|
952 | |
---|
953 | REAL(wp) :: u_i |
---|
954 | REAL(wp) :: w_i |
---|
955 | |
---|
956 | |
---|
957 | DO m = 1, surf%ns |
---|
958 | i = surf%i(m) |
---|
959 | j = surf%j(m) |
---|
960 | k = surf%k(m) |
---|
961 | ! |
---|
962 | !-- Compute the absolute value of the surface parallel velocity on u-grid. |
---|
963 | u_i = u(k,j,i) |
---|
964 | w_i = 0.25_wp * ( w(k-1,j,i-1) + w(k-1,j,i) + & |
---|
965 | w(k,j,i-1) + w(k,j,i) ) |
---|
966 | |
---|
967 | surf%uvw_abs(m) = SQRT( u_i**2 + w_i**2 ) |
---|
968 | |
---|
969 | ENDDO |
---|
970 | |
---|
971 | END SUBROUTINE calc_uvw_abs_v_ugrid |
---|
972 | |
---|
973 | !------------------------------------------------------------------------------! |
---|
974 | ! Description: |
---|
975 | ! ------------ |
---|
976 | !> Compute the absolute value of the horizontal velocity (relative to the |
---|
977 | !> surface) for horizontal surface elements. This is required by all methods. |
---|
978 | !------------------------------------------------------------------------------! |
---|
979 | SUBROUTINE calc_uvw_abs_v_vgrid |
---|
980 | |
---|
981 | IMPLICIT NONE |
---|
982 | |
---|
983 | INTEGER(iwp) :: i !< running index x direction |
---|
984 | INTEGER(iwp) :: j !< running index y direction |
---|
985 | INTEGER(iwp) :: k !< running index z direction |
---|
986 | INTEGER(iwp) :: m !< running index surface elements |
---|
987 | |
---|
988 | REAL(wp) :: v_i |
---|
989 | REAL(wp) :: w_i |
---|
990 | |
---|
991 | |
---|
992 | DO m = 1, surf%ns |
---|
993 | i = surf%i(m) |
---|
994 | j = surf%j(m) |
---|
995 | k = surf%k(m) |
---|
996 | |
---|
997 | v_i = u(k,j,i) |
---|
998 | w_i = 0.25_wp * ( w(k-1,j-1,i) + w(k-1,j,i) + & |
---|
999 | w(k,j-1,i) + w(k,j,i) ) |
---|
1000 | |
---|
1001 | surf%uvw_abs(m) = SQRT( v_i**2 + w_i**2 ) |
---|
1002 | |
---|
1003 | ENDDO |
---|
1004 | |
---|
1005 | END SUBROUTINE calc_uvw_abs_v_vgrid |
---|
1006 | |
---|
1007 | !------------------------------------------------------------------------------! |
---|
1008 | ! Description: |
---|
1009 | ! ------------ |
---|
1010 | !> Compute the absolute value of the horizontal velocity (relative to the |
---|
1011 | !> surface) for horizontal surface elements. This is required by all methods. |
---|
1012 | !------------------------------------------------------------------------------! |
---|
1013 | SUBROUTINE calc_uvw_abs_v_wgrid |
---|
1014 | |
---|
1015 | IMPLICIT NONE |
---|
1016 | |
---|
1017 | INTEGER(iwp) :: i !< running index x direction |
---|
1018 | INTEGER(iwp) :: j !< running index y direction |
---|
1019 | INTEGER(iwp) :: k !< running index z direction |
---|
1020 | INTEGER(iwp) :: m !< running index surface elements |
---|
1021 | |
---|
1022 | REAL(wp) :: u_i |
---|
1023 | REAL(wp) :: v_i |
---|
1024 | REAL(wp) :: w_i |
---|
1025 | ! |
---|
1026 | !-- North- (l=0) and south-facing (l=1) surfaces |
---|
1027 | IF ( l == 0 .OR. l == 1 ) THEN |
---|
1028 | DO m = 1, surf%ns |
---|
1029 | i = surf%i(m) |
---|
1030 | j = surf%j(m) |
---|
1031 | k = surf%k(m) |
---|
1032 | |
---|
1033 | u_i = 0.25_wp * ( u(k+1,j,i+1) + u(k+1,j,i) + & |
---|
1034 | u(k,j,i+1) + u(k,j,i) ) |
---|
1035 | v_i = 0.0_wp |
---|
1036 | w_i = w(k,j,i) |
---|
1037 | |
---|
1038 | surf%uvw_abs(m) = SQRT( u_i**2 + v_i**2 + w_i**2 ) |
---|
1039 | ENDDO |
---|
1040 | ! |
---|
1041 | !-- East- (l=2) and west-facing (l=3) surfaces |
---|
1042 | ELSE |
---|
1043 | DO m = 1, surf%ns |
---|
1044 | i = surf%i(m) |
---|
1045 | j = surf%j(m) |
---|
1046 | k = surf%k(m) |
---|
1047 | |
---|
1048 | u_i = 0.0_wp |
---|
1049 | v_i = 0.25_wp * ( v(k+1,j+1,i) + v(k+1,j,i) + & |
---|
1050 | v(k,j+1,i) + v(k,j,i) ) |
---|
1051 | w_i = w(k,j,i) |
---|
1052 | |
---|
1053 | surf%uvw_abs(m) = SQRT( u_i**2 + v_i**2 + w_i**2 ) |
---|
1054 | ENDDO |
---|
1055 | ENDIF |
---|
1056 | |
---|
1057 | END SUBROUTINE calc_uvw_abs_v_wgrid |
---|
1058 | |
---|
1059 | !------------------------------------------------------------------------------! |
---|
1060 | ! Description: |
---|
1061 | ! ------------ |
---|
1062 | !> Compute the absolute value of the horizontal velocity (relative to the |
---|
1063 | !> surface) for horizontal surface elements. This is required by all methods. |
---|
1064 | !------------------------------------------------------------------------------! |
---|
1065 | SUBROUTINE calc_uvw_abs_v_sgrid |
---|
1066 | |
---|
1067 | IMPLICIT NONE |
---|
1068 | |
---|
1069 | INTEGER(iwp) :: i !< running index x direction |
---|
1070 | INTEGER(iwp) :: j !< running index y direction |
---|
1071 | INTEGER(iwp) :: k !< running index z direction |
---|
1072 | INTEGER(iwp) :: m !< running index surface elements |
---|
1073 | |
---|
1074 | REAL(wp) :: u_i |
---|
1075 | REAL(wp) :: v_i |
---|
1076 | REAL(wp) :: w_i |
---|
1077 | |
---|
1078 | ! |
---|
1079 | !-- North- (l=0) and south-facing (l=1) walls |
---|
1080 | IF ( l == 0 .OR. l == 1 ) THEN |
---|
1081 | DO m = 1, surf%ns |
---|
1082 | i = surf%i(m) |
---|
1083 | j = surf%j(m) |
---|
1084 | k = surf%k(m) |
---|
1085 | |
---|
1086 | u_i = 0.5_wp * ( u(k,j,i) + u(k,j,i+1) ) |
---|
1087 | v_i = 0.0_wp |
---|
1088 | w_i = 0.5_wp * ( w(k,j,i) + w(k-1,j,i) ) |
---|
1089 | |
---|
1090 | surf%uvw_abs(m) = SQRT( u_i**2 + v_i**2 + w_i**2 ) |
---|
1091 | ENDDO |
---|
1092 | ! |
---|
1093 | !-- East- (l=2) and west-facing (l=3) walls |
---|
1094 | ELSE |
---|
1095 | DO m = 1, surf%ns |
---|
1096 | i = surf%i(m) |
---|
1097 | j = surf%j(m) |
---|
1098 | k = surf%k(m) |
---|
1099 | |
---|
1100 | u_i = 0.0_wp |
---|
1101 | v_i = 0.5_wp * ( v(k,j,i) + v(k,j+1,i) ) |
---|
1102 | w_i = 0.5_wp * ( w(k,j,i) + w(k-1,j,i) ) |
---|
1103 | |
---|
1104 | surf%uvw_abs(m) = SQRT( u_i**2 + v_i**2 + w_i**2 ) |
---|
1105 | ENDDO |
---|
1106 | ENDIF |
---|
1107 | |
---|
1108 | END SUBROUTINE calc_uvw_abs_v_sgrid |
---|
1109 | |
---|
1110 | |
---|
1111 | !------------------------------------------------------------------------------! |
---|
1112 | ! Description: |
---|
1113 | ! ------------ |
---|
1114 | !> Calculate the Obukhov length (L) and Richardson flux number (z/L) |
---|
1115 | !------------------------------------------------------------------------------! |
---|
1116 | SUBROUTINE calc_ol |
---|
1117 | |
---|
1118 | IMPLICIT NONE |
---|
1119 | |
---|
1120 | INTEGER(iwp) :: iter !< Newton iteration step |
---|
1121 | INTEGER(iwp) :: li !< look index |
---|
1122 | INTEGER(iwp) :: m !< loop variable over all horizontal wall elements |
---|
1123 | |
---|
1124 | REAL(wp) :: f, & !< Function for Newton iteration: f = Ri - [...]/[...]^2 = 0 |
---|
1125 | f_d_ol, & !< Derivative of f |
---|
1126 | ol_l, & !< Lower bound of L for Newton iteration |
---|
1127 | ol_m, & !< Previous value of L for Newton iteration |
---|
1128 | ol_old, & !< Previous time step value of L |
---|
1129 | ol_u !< Upper bound of L for Newton iteration |
---|
1130 | |
---|
1131 | IF ( TRIM( most_method ) /= 'circular' ) THEN |
---|
1132 | ! |
---|
1133 | !-- Evaluate bulk Richardson number (calculation depends on |
---|
1134 | !-- definition based on setting of boundary conditions |
---|
1135 | IF ( ibc_pt_b /= 1 ) THEN |
---|
1136 | IF ( humidity ) THEN |
---|
1137 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1138 | DO m = 1, surf%ns |
---|
1139 | |
---|
1140 | i = surf%i(m) |
---|
1141 | j = surf%j(m) |
---|
1142 | k = surf%k(m) |
---|
1143 | |
---|
1144 | z_mo = surf%z_mo(m) |
---|
1145 | |
---|
1146 | surf%rib(m) = g * z_mo * & |
---|
1147 | ( vpt(k,j,i) - vpt(k-1,j,i) ) / & |
---|
1148 | ( surf%uvw_abs(m)**2 * vpt(k,j,i) + 1.0E-20_wp ) |
---|
1149 | ENDDO |
---|
1150 | ELSE |
---|
1151 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1152 | DO m = 1, surf%ns |
---|
1153 | |
---|
1154 | i = surf%i(m) |
---|
1155 | j = surf%j(m) |
---|
1156 | k = surf%k(m) |
---|
1157 | |
---|
1158 | z_mo = surf%z_mo(m) |
---|
1159 | |
---|
1160 | surf%rib(m) = g * z_mo * & |
---|
1161 | ( pt(k,j,i) - pt(k-1,j,i) ) / & |
---|
1162 | ( surf%uvw_abs(m)**2 * pt(k,j,i) + 1.0E-20_wp ) |
---|
1163 | ENDDO |
---|
1164 | ENDIF |
---|
1165 | ELSE |
---|
1166 | IF ( humidity ) THEN |
---|
1167 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1168 | DO m = 1, surf%ns |
---|
1169 | |
---|
1170 | i = surf%i(m) |
---|
1171 | j = surf%j(m) |
---|
1172 | k = surf%k(m) |
---|
1173 | |
---|
1174 | z_mo = surf%z_mo(m) |
---|
1175 | |
---|
1176 | surf%rib(m) = - g * z_mo * ( ( 1.0_wp + 0.61_wp & |
---|
1177 | * q(k,j,i) ) * surf%shf(m) + 0.61_wp & |
---|
1178 | * pt(k,j,i) * surf%qsws(m) ) * & |
---|
1179 | drho_air_zw(k-1) / & |
---|
1180 | ( surf%uvw_abs(m)**3 * vpt(k,j,i) * kappa**2 & |
---|
1181 | + 1.0E-20_wp ) |
---|
1182 | ENDDO |
---|
1183 | ELSE |
---|
1184 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1185 | DO m = 1, surf%ns |
---|
1186 | |
---|
1187 | i = surf%i(m) |
---|
1188 | j = surf%j(m) |
---|
1189 | k = surf%k(m) |
---|
1190 | |
---|
1191 | z_mo = surf%z_mo(m) |
---|
1192 | |
---|
1193 | surf%rib(m) = - g * z_mo * surf%shf(m) * & |
---|
1194 | drho_air_zw(k-1) / & |
---|
1195 | ( surf%uvw_abs(m)**3 * pt(k,j,i) * kappa**2 & |
---|
1196 | + 1.0E-20_wp ) |
---|
1197 | ENDDO |
---|
1198 | ENDIF |
---|
1199 | ENDIF |
---|
1200 | |
---|
1201 | ENDIF |
---|
1202 | |
---|
1203 | |
---|
1204 | ! |
---|
1205 | !-- Calculate the Obukhov length either using a Newton iteration |
---|
1206 | !-- method, via a lookup table, or using the old circular way |
---|
1207 | IF ( TRIM( most_method ) == 'newton' ) THEN |
---|
1208 | |
---|
1209 | DO m = 1, surf%ns |
---|
1210 | |
---|
1211 | i = surf%i(m) |
---|
1212 | j = surf%j(m) |
---|
1213 | |
---|
1214 | z_mo = surf%z_mo(m) |
---|
1215 | |
---|
1216 | ! |
---|
1217 | !-- Store current value in case the Newton iteration fails |
---|
1218 | ol_old = surf%ol(m) |
---|
1219 | |
---|
1220 | ! |
---|
1221 | !-- Ensure that the bulk Richardson number and the Obukhov |
---|
1222 | !-- length have the same sign |
---|
1223 | IF ( surf%rib(m) * surf%ol(m) < 0.0_wp .OR. & |
---|
1224 | ABS( surf%ol(m) ) == ol_max ) THEN |
---|
1225 | IF ( surf%rib(m) > 1.0_wp ) surf%ol(m) = 0.01_wp |
---|
1226 | IF ( surf%rib(m) < 0.0_wp ) surf%ol(m) = -0.01_wp |
---|
1227 | ENDIF |
---|
1228 | ! |
---|
1229 | !-- Iteration to find Obukhov length |
---|
1230 | iter = 0 |
---|
1231 | DO |
---|
1232 | iter = iter + 1 |
---|
1233 | ! |
---|
1234 | !-- In case of divergence, use the value of the previous time step |
---|
1235 | IF ( iter > 1000 ) THEN |
---|
1236 | surf%ol(m) = ol_old |
---|
1237 | EXIT |
---|
1238 | ENDIF |
---|
1239 | |
---|
1240 | ol_m = surf%ol(m) |
---|
1241 | ol_l = ol_m - 0.001_wp * ol_m |
---|
1242 | ol_u = ol_m + 0.001_wp * ol_m |
---|
1243 | |
---|
1244 | |
---|
1245 | IF ( ibc_pt_b /= 1 ) THEN |
---|
1246 | ! |
---|
1247 | !-- Calculate f = Ri - [...]/[...]^2 = 0 |
---|
1248 | f = surf%rib(m) - ( z_mo / ol_m ) * ( & |
---|
1249 | LOG( z_mo / surf%z0h(m) ) & |
---|
1250 | - psi_h( z_mo / ol_m ) & |
---|
1251 | + psi_h( surf%z0h(m) / & |
---|
1252 | ol_m ) & |
---|
1253 | ) & |
---|
1254 | / ( LOG( z_mo / surf%z0(m) ) & |
---|
1255 | - psi_m( z_mo / ol_m ) & |
---|
1256 | + psi_m( surf%z0(m) / & |
---|
1257 | ol_m ) & |
---|
1258 | )**2 |
---|
1259 | |
---|
1260 | ! |
---|
1261 | !-- Calculate df/dL |
---|
1262 | f_d_ol = ( - ( z_mo / ol_u ) * ( LOG( z_mo / & |
---|
1263 | surf%z0h(m) ) & |
---|
1264 | - psi_h( z_mo / ol_u ) & |
---|
1265 | + psi_h( surf%z0h(m) / ol_u ) & |
---|
1266 | ) & |
---|
1267 | / ( LOG( z_mo / surf%z0(m) ) & |
---|
1268 | - psi_m( z_mo / ol_u ) & |
---|
1269 | + psi_m( surf%z0(m) / ol_u ) & |
---|
1270 | )**2 & |
---|
1271 | + ( z_mo / ol_l ) * ( LOG( z_mo / surf%z0h(m) ) & |
---|
1272 | - psi_h( z_mo / ol_l ) & |
---|
1273 | + psi_h( surf%z0h(m) / ol_l ) & |
---|
1274 | ) & |
---|
1275 | / ( LOG( z_mo / surf%z0(m) ) & |
---|
1276 | - psi_m( z_mo / ol_l ) & |
---|
1277 | + psi_m( surf%z0(m) / ol_l ) & |
---|
1278 | )**2 & |
---|
1279 | ) / ( ol_u - ol_l ) |
---|
1280 | ELSE |
---|
1281 | ! |
---|
1282 | !-- Calculate f = Ri - 1 /[...]^3 = 0 |
---|
1283 | f = surf%rib(m) - ( z_mo / ol_m ) / & |
---|
1284 | ( LOG( z_mo / surf%z0(m) ) & |
---|
1285 | - psi_m( z_mo / ol_m ) & |
---|
1286 | + psi_m( surf%z0(m) / ol_m ) & |
---|
1287 | )**3 |
---|
1288 | |
---|
1289 | ! |
---|
1290 | !-- Calculate df/dL |
---|
1291 | f_d_ol = ( - ( z_mo / ol_u ) / ( LOG( z_mo / & |
---|
1292 | surf%z0(m) ) & |
---|
1293 | - psi_m( z_mo / ol_u ) & |
---|
1294 | + psi_m( surf%z0(m) / ol_u ) & |
---|
1295 | )**3 & |
---|
1296 | + ( z_mo / ol_l ) / ( LOG( z_mo / surf%z0(m) ) & |
---|
1297 | - psi_m( z_mo / ol_l ) & |
---|
1298 | + psi_m( surf%z0(m) / ol_l ) & |
---|
1299 | )**3 & |
---|
1300 | ) / ( ol_u - ol_l ) |
---|
1301 | ENDIF |
---|
1302 | ! |
---|
1303 | !-- Calculate new L |
---|
1304 | surf%ol(m) = ol_m - f / f_d_ol |
---|
1305 | |
---|
1306 | ! |
---|
1307 | !-- Ensure that the bulk Richardson number and the Obukhov |
---|
1308 | !-- length have the same sign and ensure convergence. |
---|
1309 | IF ( surf%ol(m) * ol_m < 0.0_wp ) surf%ol(m) = ol_m * 0.5_wp |
---|
1310 | ! |
---|
1311 | !-- If unrealistic value occurs, set L to the maximum |
---|
1312 | !-- value that is allowed |
---|
1313 | IF ( ABS( surf%ol(m) ) > ol_max ) THEN |
---|
1314 | surf%ol(m) = ol_max |
---|
1315 | EXIT |
---|
1316 | ENDIF |
---|
1317 | ! |
---|
1318 | !-- Check for convergence |
---|
1319 | IF ( ABS( ( surf%ol(m) - ol_m ) / & |
---|
1320 | surf%ol(m) ) < 1.0E-4_wp ) THEN |
---|
1321 | EXIT |
---|
1322 | ELSE |
---|
1323 | CYCLE |
---|
1324 | ENDIF |
---|
1325 | |
---|
1326 | ENDDO |
---|
1327 | ENDDO |
---|
1328 | |
---|
1329 | ELSEIF ( TRIM( most_method ) == 'lookup' ) THEN |
---|
1330 | |
---|
1331 | !$OMP PARALLEL DO PRIVATE( i, j, z_mo, li ) FIRSTPRIVATE( li_bnd ) LASTPRIVATE( li_bnd ) |
---|
1332 | DO m = 1, surf%ns |
---|
1333 | |
---|
1334 | i = surf%i(m) |
---|
1335 | j = surf%j(m) |
---|
1336 | ! |
---|
1337 | !-- If the bulk Richardson number is outside the range of the lookup |
---|
1338 | !-- table, set it to the exceeding threshold value |
---|
1339 | IF ( surf%rib(m) < rib_min ) surf%rib(m) = rib_min |
---|
1340 | IF ( surf%rib(m) > rib_max ) surf%rib(m) = rib_max |
---|
1341 | |
---|
1342 | ! |
---|
1343 | !-- Find the correct index bounds for linear interpolation. As the |
---|
1344 | !-- Richardson number will not differ very much from time step to |
---|
1345 | !-- time step , use the index from the last step and search in the |
---|
1346 | !-- correct direction |
---|
1347 | li = li_bnd |
---|
1348 | IF ( rib_tab(li) - surf%rib(m) > 1.0_wp ) THEN |
---|
1349 | DO WHILE ( rib_tab(li-1) - surf%rib(m) > 1.0_wp .AND. li > 1 ) |
---|
1350 | li = li-1 |
---|
1351 | ENDDO |
---|
1352 | ELSE |
---|
1353 | DO WHILE ( rib_tab(li) - surf%rib(m) < 0.0_wp & |
---|
1354 | .AND. li < num_steps-1 ) |
---|
1355 | li = li+1 |
---|
1356 | ENDDO |
---|
1357 | ENDIF |
---|
1358 | li_bnd = li |
---|
1359 | |
---|
1360 | ! |
---|
1361 | !-- Linear interpolation to find the correct value of z/L |
---|
1362 | surf%ol(m) = ( ol_tab(li-1) + ( ol_tab(li) - ol_tab(li-1) ) & |
---|
1363 | / ( rib_tab(li) - rib_tab(li-1) ) & |
---|
1364 | * ( surf%rib(m) - rib_tab(li-1) ) ) |
---|
1365 | |
---|
1366 | ENDDO |
---|
1367 | |
---|
1368 | ELSEIF ( TRIM( most_method ) == 'circular' ) THEN |
---|
1369 | |
---|
1370 | IF ( .NOT. humidity ) THEN |
---|
1371 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1372 | DO m = 1, surf%ns |
---|
1373 | |
---|
1374 | i = surf%i(m) |
---|
1375 | j = surf%j(m) |
---|
1376 | k = surf%k(m) |
---|
1377 | |
---|
1378 | z_mo = surf%z_mo(m) |
---|
1379 | |
---|
1380 | surf%ol(m) = ( pt(k,j,i) * surf%us(m)**2 ) / & |
---|
1381 | ( kappa * g * & |
---|
1382 | surf%ts(m) + 1E-30_wp ) |
---|
1383 | ! |
---|
1384 | !-- Limit the value range of the Obukhov length. |
---|
1385 | !-- This is necessary for very small velocities (u,v --> 1), because |
---|
1386 | !-- the absolute value of ol can then become very small, which in |
---|
1387 | !-- consequence would result in very large shear stresses and very |
---|
1388 | !-- small momentum fluxes (both are generally unrealistic). |
---|
1389 | IF ( ( z_mo / ( surf%ol(m) + 1E-30_wp ) ) < zeta_min ) & |
---|
1390 | surf%ol(m) = z_mo / zeta_min |
---|
1391 | IF ( ( z_mo / ( surf%ol(m) + 1E-30_wp ) ) > zeta_max ) & |
---|
1392 | surf%ol(m) = z_mo / zeta_max |
---|
1393 | |
---|
1394 | ENDDO |
---|
1395 | ELSEIF ( cloud_physics ) THEN |
---|
1396 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1397 | DO m = 1, surf%ns |
---|
1398 | |
---|
1399 | i = surf%i(m) |
---|
1400 | j = surf%j(m) |
---|
1401 | k = surf%k(m) |
---|
1402 | |
---|
1403 | z_mo = surf%z_mo(m) |
---|
1404 | |
---|
1405 | |
---|
1406 | surf%ol(m) = ( vpt(k,j,i) * surf%us(m)**2 ) / & |
---|
1407 | ( kappa * g * ( surf%ts(m) + & |
---|
1408 | 0.61_wp * surf%pt1(m) * surf%us(m) & |
---|
1409 | + 0.61_wp * surf%qv1(m) * surf%ts(m) - & |
---|
1410 | surf%ts(m) * ql(k,j,i) ) + 1E-30_wp ) |
---|
1411 | ! |
---|
1412 | !-- Limit the value range of the Obukhov length. |
---|
1413 | !-- This is necessary for very small velocities (u,v --> 1), because |
---|
1414 | !-- the absolute value of ol can then become very small, which in |
---|
1415 | !-- consequence would result in very large shear stresses and very |
---|
1416 | !-- small momentum fluxes (both are generally unrealistic). |
---|
1417 | IF ( ( z_mo / ( surf%ol(m) + 1E-30_wp ) ) < zeta_min ) & |
---|
1418 | surf%ol(m) = z_mo / zeta_min |
---|
1419 | IF ( ( z_mo / ( surf%ol(m) + 1E-30_wp ) ) > zeta_max ) & |
---|
1420 | surf%ol(m) = z_mo / zeta_max |
---|
1421 | |
---|
1422 | ENDDO |
---|
1423 | ELSE |
---|
1424 | |
---|
1425 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1426 | DO m = 1, surf%ns |
---|
1427 | |
---|
1428 | i = surf%i(m) |
---|
1429 | j = surf%j(m) |
---|
1430 | k = surf%k(m) |
---|
1431 | |
---|
1432 | z_mo = surf%z_mo(m) |
---|
1433 | |
---|
1434 | surf%ol(m) = ( vpt(k,j,i) * surf%us(m)**2 ) / & |
---|
1435 | ( kappa * g * ( surf%ts(m) + 0.61_wp * pt(k,j,i) * & |
---|
1436 | surf%qs(m) + 0.61_wp * q(k,j,i) * & |
---|
1437 | surf%ts(m) ) + 1E-30_wp ) |
---|
1438 | |
---|
1439 | ! |
---|
1440 | !-- Limit the value range of the Obukhov length. |
---|
1441 | !-- This is necessary for very small velocities (u,v --> 1), because |
---|
1442 | !-- the absolute value of ol can then become very small, which in |
---|
1443 | !-- consequence would result in very large shear stresses and very |
---|
1444 | !-- small momentum fluxes (both are generally unrealistic). |
---|
1445 | IF ( ( z_mo / ( surf%ol(m) + 1E-30_wp ) ) < zeta_min ) & |
---|
1446 | surf%ol(m) = z_mo / zeta_min |
---|
1447 | IF ( ( z_mo / ( surf%ol(m) + 1E-30_wp ) ) > zeta_max ) & |
---|
1448 | surf%ol(m) = z_mo / zeta_max |
---|
1449 | |
---|
1450 | ENDDO |
---|
1451 | |
---|
1452 | ENDIF |
---|
1453 | |
---|
1454 | ENDIF |
---|
1455 | |
---|
1456 | END SUBROUTINE calc_ol |
---|
1457 | |
---|
1458 | ! |
---|
1459 | !-- Calculate friction velocity u* |
---|
1460 | SUBROUTINE calc_us |
---|
1461 | |
---|
1462 | IMPLICIT NONE |
---|
1463 | |
---|
1464 | INTEGER(iwp) :: m !< loop variable over all horizontal surf elements |
---|
1465 | |
---|
1466 | ! |
---|
1467 | !-- Compute u* at horizontal surfaces at the scalars' grid points |
---|
1468 | IF ( .NOT. surf_vertical ) THEN |
---|
1469 | ! |
---|
1470 | !-- Compute u* at upward-facing surfaces |
---|
1471 | IF ( .NOT. downward ) THEN |
---|
1472 | !$OMP PARALLEL DO PRIVATE( z_mo ) |
---|
1473 | DO m = 1, surf%ns |
---|
1474 | |
---|
1475 | z_mo = surf%z_mo(m) |
---|
1476 | ! |
---|
1477 | !-- Compute u* at the scalars' grid points |
---|
1478 | surf%us(m) = kappa * surf%uvw_abs(m) / & |
---|
1479 | ( LOG( z_mo / surf%z0(m) ) & |
---|
1480 | - psi_m( z_mo / surf%ol(m) ) & |
---|
1481 | + psi_m( surf%z0(m) / surf%ol(m) ) ) |
---|
1482 | |
---|
1483 | ENDDO |
---|
1484 | ! |
---|
1485 | !-- Compute u* at downward-facing surfaces. This case, do not consider |
---|
1486 | !-- any stability. |
---|
1487 | ELSE |
---|
1488 | !$OMP PARALLEL DO PRIVATE( z_mo ) |
---|
1489 | DO m = 1, surf%ns |
---|
1490 | |
---|
1491 | z_mo = surf%z_mo(m) |
---|
1492 | ! |
---|
1493 | !-- Compute u* at the scalars' grid points |
---|
1494 | surf%us(m) = kappa * surf%uvw_abs(m) / LOG( z_mo / surf%z0(m) ) |
---|
1495 | |
---|
1496 | ENDDO |
---|
1497 | ENDIF |
---|
1498 | ! |
---|
1499 | !-- Compute u* at vertical surfaces at the u/v/v grid, respectively. |
---|
1500 | !-- No stability is considered in this case. |
---|
1501 | ELSE |
---|
1502 | !$OMP PARALLEL DO PRIVATE( z_mo ) |
---|
1503 | DO m = 1, surf%ns |
---|
1504 | z_mo = surf%z_mo(m) |
---|
1505 | |
---|
1506 | surf%us(m) = kappa * surf%uvw_abs(m) / LOG( z_mo / surf%z0(m) ) |
---|
1507 | ENDDO |
---|
1508 | ENDIF |
---|
1509 | |
---|
1510 | END SUBROUTINE calc_us |
---|
1511 | |
---|
1512 | ! |
---|
1513 | !-- Calculate potential temperature and specific humidity at first grid level |
---|
1514 | !-- ( only for upward-facing surfs ) |
---|
1515 | SUBROUTINE calc_pt_q |
---|
1516 | |
---|
1517 | IMPLICIT NONE |
---|
1518 | |
---|
1519 | INTEGER(iwp) :: m !< loop variable over all horizontal surf elements |
---|
1520 | |
---|
1521 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
1522 | DO m = 1, surf%ns |
---|
1523 | |
---|
1524 | i = surf%i(m) |
---|
1525 | j = surf%j(m) |
---|
1526 | k = surf%k(m) |
---|
1527 | |
---|
1528 | surf%pt1(m) = pt(k,j,i) + l_d_cp * pt_d_t(k) * ql(k,j,i) |
---|
1529 | surf%qv1(m) = q(k,j,i) - ql(k,j,i) |
---|
1530 | |
---|
1531 | ENDDO |
---|
1532 | |
---|
1533 | END SUBROUTINE calc_pt_q |
---|
1534 | |
---|
1535 | ! |
---|
1536 | !-- Calculate the other MOST scaling parameters theta*, q*, (qc*, qr*, nc*, nr*) |
---|
1537 | SUBROUTINE calc_scaling_parameters |
---|
1538 | |
---|
1539 | IMPLICIT NONE |
---|
1540 | |
---|
1541 | |
---|
1542 | INTEGER(iwp) :: m !< loop variable over all horizontal surf elements |
---|
1543 | |
---|
1544 | ! |
---|
1545 | !-- Compute theta* at horizontal surfaces |
---|
1546 | IF ( constant_heatflux .AND. .NOT. surf_vertical ) THEN |
---|
1547 | ! |
---|
1548 | !-- For a given heat flux in the surface layer: |
---|
1549 | |
---|
1550 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
1551 | DO m = 1, surf%ns |
---|
1552 | |
---|
1553 | i = surf%i(m) |
---|
1554 | j = surf%j(m) |
---|
1555 | k = surf%k(m) |
---|
1556 | |
---|
1557 | surf%ts(m) = -surf%shf(m) * drho_air_zw(k-1) / & |
---|
1558 | ( surf%us(m) + 1E-30_wp ) |
---|
1559 | |
---|
1560 | ! |
---|
1561 | !-- ts must be limited, because otherwise overflow may occur in case |
---|
1562 | !-- of us=0 when computing ol further below |
---|
1563 | IF ( surf%ts(m) < -1.05E5_wp ) surf%ts(m) = -1.0E5_wp |
---|
1564 | IF ( surf%ts(m) > 1.0E5_wp ) surf%ts(m) = 1.0E5_wp |
---|
1565 | |
---|
1566 | ENDDO |
---|
1567 | |
---|
1568 | ELSEIF ( .NOT. surf_vertical ) THEN |
---|
1569 | ! |
---|
1570 | !-- For a given surface temperature: |
---|
1571 | IF ( large_scale_forcing .AND. lsf_surf ) THEN |
---|
1572 | |
---|
1573 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
1574 | DO m = 1, surf%ns |
---|
1575 | i = surf%i(m) |
---|
1576 | j = surf%j(m) |
---|
1577 | k = surf%k(m) |
---|
1578 | |
---|
1579 | pt(k-1,j,i) = pt_surface |
---|
1580 | ENDDO |
---|
1581 | ENDIF |
---|
1582 | |
---|
1583 | IF ( cloud_physics ) THEN |
---|
1584 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1585 | DO m = 1, surf%ns |
---|
1586 | |
---|
1587 | i = surf%i(m) |
---|
1588 | j = surf%j(m) |
---|
1589 | k = surf%k(m) |
---|
1590 | |
---|
1591 | z_mo = surf%z_mo(m) |
---|
1592 | |
---|
1593 | surf%ts(m) = kappa * ( surf%pt1(m) - pt(k-1,j,i) ) & |
---|
1594 | / ( LOG( z_mo / surf%z0h(m) ) & |
---|
1595 | - psi_h( z_mo / surf%ol(m) ) & |
---|
1596 | + psi_h( surf%z0h(m) / surf%ol(m) ) ) |
---|
1597 | |
---|
1598 | ENDDO |
---|
1599 | ELSE |
---|
1600 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1601 | DO m = 1, surf%ns |
---|
1602 | |
---|
1603 | i = surf%i(m) |
---|
1604 | j = surf%j(m) |
---|
1605 | k = surf%k(m) |
---|
1606 | |
---|
1607 | z_mo = surf%z_mo(m) |
---|
1608 | |
---|
1609 | surf%ts(m) = kappa * ( pt(k,j,i) - pt(k-1,j,i) ) & |
---|
1610 | / ( LOG( z_mo / surf%z0h(m) ) & |
---|
1611 | - psi_h( z_mo / surf%ol(m) ) & |
---|
1612 | + psi_h( surf%z0h(m) / surf%ol(m) ) ) |
---|
1613 | ENDDO |
---|
1614 | ENDIF |
---|
1615 | ENDIF |
---|
1616 | ! |
---|
1617 | !-- Compute theta* at vertical surfaces. This is only required in case of |
---|
1618 | !-- land-surface model, in order to compute aerodynamical resistance. |
---|
1619 | IF ( surf_vertical ) THEN |
---|
1620 | !$OMP PARALLEL DO PRIVATE( i, j ) |
---|
1621 | DO m = 1, surf%ns |
---|
1622 | |
---|
1623 | i = surf%i(m) |
---|
1624 | j = surf%j(m) |
---|
1625 | surf%ts(m) = -surf%shf(m) / ( surf%us(m) + 1E-30_wp ) |
---|
1626 | ! |
---|
1627 | !-- ts must be limited, because otherwise overflow may occur in case |
---|
1628 | !-- of us=0 when computing ol further below |
---|
1629 | IF ( surf%ts(m) < -1.05E5_wp ) surf%ts(m) = -1.0E5_wp |
---|
1630 | IF ( surf%ts(m) > 1.0E5_wp ) surf%ts(m) = 1.0E5_wp |
---|
1631 | |
---|
1632 | ENDDO |
---|
1633 | ENDIF |
---|
1634 | |
---|
1635 | ! |
---|
1636 | !-- If required compute q* at horizontal surfaces |
---|
1637 | IF ( humidity ) THEN |
---|
1638 | IF ( constant_waterflux .AND. .NOT. surf_vertical ) THEN |
---|
1639 | ! |
---|
1640 | !-- For a given water flux in the surface layer |
---|
1641 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
1642 | DO m = 1, surf%ns |
---|
1643 | |
---|
1644 | i = surf%i(m) |
---|
1645 | j = surf%j(m) |
---|
1646 | k = surf%k(m) |
---|
1647 | surf%qs(m) = -surf%qsws(m) * drho_air_zw(k-1) / & |
---|
1648 | ( surf%us(m) + 1E-30_wp ) |
---|
1649 | |
---|
1650 | ENDDO |
---|
1651 | |
---|
1652 | ELSEIF ( .NOT. surf_vertical ) THEN |
---|
1653 | coupled_run = ( coupling_mode == 'atmosphere_to_ocean' .AND. & |
---|
1654 | run_coupled ) |
---|
1655 | |
---|
1656 | IF ( large_scale_forcing .AND. lsf_surf ) THEN |
---|
1657 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
1658 | DO m = 1, surf%ns |
---|
1659 | |
---|
1660 | i = surf%i(m) |
---|
1661 | j = surf%j(m) |
---|
1662 | k = surf%k(m) |
---|
1663 | q(k-1,j,i) = q_surface |
---|
1664 | |
---|
1665 | ENDDO |
---|
1666 | ENDIF |
---|
1667 | |
---|
1668 | ! |
---|
1669 | !-- Assume saturation for atmosphere coupled to ocean (but not |
---|
1670 | !-- in case of precursor runs) |
---|
1671 | IF ( coupled_run ) THEN |
---|
1672 | !$OMP PARALLEL DO PRIVATE( i, j, k, e_s ) |
---|
1673 | DO m = 1, surf%ns |
---|
1674 | i = surf%i(m) |
---|
1675 | j = surf%j(m) |
---|
1676 | k = surf%k(m) |
---|
1677 | e_s = 6.1_wp * & |
---|
1678 | EXP( 0.07_wp * ( MIN(pt(k-1,j,i),pt(k,j,i)) & |
---|
1679 | - 273.15_wp ) ) |
---|
1680 | q(k-1,j,i) = 0.622_wp * e_s / ( surface_pressure - e_s ) |
---|
1681 | ENDDO |
---|
1682 | ENDIF |
---|
1683 | |
---|
1684 | IF ( cloud_physics ) THEN |
---|
1685 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1686 | DO m = 1, surf%ns |
---|
1687 | |
---|
1688 | i = surf%i(m) |
---|
1689 | j = surf%j(m) |
---|
1690 | k = surf%k(m) |
---|
1691 | |
---|
1692 | z_mo = surf%z_mo(m) |
---|
1693 | |
---|
1694 | surf%qs(m) = kappa * ( surf%qv1(m) - q(k-1,j,i) ) & |
---|
1695 | / ( LOG( z_mo / surf%z0q(m) ) & |
---|
1696 | - psi_h( z_mo / surf%ol(m) ) & |
---|
1697 | + psi_h( surf%z0q(m) / & |
---|
1698 | surf%ol(m) ) ) |
---|
1699 | ENDDO |
---|
1700 | ELSE |
---|
1701 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1702 | DO m = 1, surf%ns |
---|
1703 | |
---|
1704 | i = surf%i(m) |
---|
1705 | j = surf%j(m) |
---|
1706 | k = surf%k(m) |
---|
1707 | |
---|
1708 | z_mo = surf%z_mo(m) |
---|
1709 | |
---|
1710 | surf%qs(m) = kappa * ( q(k,j,i) - q(k-1,j,i) ) & |
---|
1711 | / ( LOG( z_mo / surf%z0q(m) ) & |
---|
1712 | - psi_h( z_mo / surf%ol(m) ) & |
---|
1713 | + psi_h( surf%z0q(m) / & |
---|
1714 | surf%ol(m) ) ) |
---|
1715 | ENDDO |
---|
1716 | ENDIF |
---|
1717 | ENDIF |
---|
1718 | ! |
---|
1719 | !-- Compute q* at vertical surfaces |
---|
1720 | IF ( surf_vertical ) THEN |
---|
1721 | !$OMP PARALLEL DO PRIVATE( i, j ) |
---|
1722 | DO m = 1, surf%ns |
---|
1723 | |
---|
1724 | i = surf%i(m) |
---|
1725 | j = surf%j(m) |
---|
1726 | surf%qs(m) = -surf%qsws(m) / ( surf%us(m) + 1E-30_wp ) |
---|
1727 | |
---|
1728 | ENDDO |
---|
1729 | ENDIF |
---|
1730 | ENDIF |
---|
1731 | |
---|
1732 | ! |
---|
1733 | !-- If required compute s* |
---|
1734 | IF ( passive_scalar ) THEN |
---|
1735 | ! |
---|
1736 | !-- At horizontal surfaces |
---|
1737 | IF ( constant_scalarflux .AND. .NOT. surf_vertical ) THEN |
---|
1738 | ! |
---|
1739 | !-- For a given scalar flux in the surface layer |
---|
1740 | !$OMP PARALLEL DO PRIVATE( i, j ) |
---|
1741 | DO m = 1, surf%ns |
---|
1742 | i = surf%i(m) |
---|
1743 | j = surf%j(m) |
---|
1744 | surf%ss(m) = -surf%ssws(m) / ( surf%us(m) + 1E-30_wp ) |
---|
1745 | ENDDO |
---|
1746 | ENDIF |
---|
1747 | ! |
---|
1748 | !-- At vertical surfaces |
---|
1749 | IF ( surf_vertical ) THEN |
---|
1750 | !$OMP PARALLEL DO PRIVATE( i, j ) |
---|
1751 | DO m = 1, surf%ns |
---|
1752 | i = surf%i(m) |
---|
1753 | j = surf%j(m) |
---|
1754 | surf%ss(m) = -surf%ssws(m) / ( surf%us(m) + 1E-30_wp ) |
---|
1755 | ENDDO |
---|
1756 | ENDIF |
---|
1757 | ENDIF |
---|
1758 | |
---|
1759 | ! |
---|
1760 | !-- If required compute qc* and nc* |
---|
1761 | IF ( cloud_physics .AND. microphysics_morrison .AND. & |
---|
1762 | .NOT. surf_vertical ) THEN |
---|
1763 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1764 | DO m = 1, surf%ns |
---|
1765 | |
---|
1766 | i = surf%i(m) |
---|
1767 | j = surf%j(m) |
---|
1768 | k = surf%k(m) |
---|
1769 | |
---|
1770 | z_mo = surf%z_mo(m) |
---|
1771 | |
---|
1772 | surf%qcs(m) = kappa * ( qc(k,j,i) - qc(k-1,j,i) ) & |
---|
1773 | / ( LOG( z_mo / surf%z0q(m) ) & |
---|
1774 | - psi_h( z_mo / surf%ol(m) ) & |
---|
1775 | + psi_h( surf%z0q(m) / surf%ol(m) ) ) |
---|
1776 | |
---|
1777 | surf%ncs(m) = kappa * ( nc(k,j,i) - nc(k-1,j,i) ) & |
---|
1778 | / ( LOG( z_mo / surf%z0q(m) ) & |
---|
1779 | - psi_h( z_mo / surf%ol(m) ) & |
---|
1780 | + psi_h( surf%z0q(m) / surf%ol(m) ) ) |
---|
1781 | ENDDO |
---|
1782 | |
---|
1783 | ENDIF |
---|
1784 | |
---|
1785 | ! |
---|
1786 | !-- If required compute qr* and nr* |
---|
1787 | IF ( cloud_physics .AND. microphysics_seifert .AND. & |
---|
1788 | .NOT. surf_vertical ) THEN |
---|
1789 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1790 | DO m = 1, surf%ns |
---|
1791 | |
---|
1792 | i = surf%i(m) |
---|
1793 | j = surf%j(m) |
---|
1794 | k = surf%k(m) |
---|
1795 | |
---|
1796 | z_mo = surf%z_mo(m) |
---|
1797 | |
---|
1798 | surf%qrs(m) = kappa * ( qr(k,j,i) - qr(k-1,j,i) ) & |
---|
1799 | / ( LOG( z_mo / surf%z0q(m) ) & |
---|
1800 | - psi_h( z_mo / surf%ol(m) ) & |
---|
1801 | + psi_h( surf%z0q(m) / surf%ol(m) ) ) |
---|
1802 | |
---|
1803 | surf%nrs(m) = kappa * ( nr(k,j,i) - nr(k-1,j,i) ) & |
---|
1804 | / ( LOG( z_mo / surf%z0q(m) ) & |
---|
1805 | - psi_h( z_mo / surf%ol(m) ) & |
---|
1806 | + psi_h( surf%z0q(m) / surf%ol(m) ) ) |
---|
1807 | ENDDO |
---|
1808 | |
---|
1809 | ENDIF |
---|
1810 | |
---|
1811 | END SUBROUTINE calc_scaling_parameters |
---|
1812 | |
---|
1813 | |
---|
1814 | |
---|
1815 | ! |
---|
1816 | !-- Calculate surface fluxes usws, vsws, shf, qsws, (qcsws, qrsws, ncsws, nrsws) |
---|
1817 | SUBROUTINE calc_surface_fluxes |
---|
1818 | |
---|
1819 | IMPLICIT NONE |
---|
1820 | |
---|
1821 | INTEGER(iwp) :: m !< loop variable over all horizontal surf elements |
---|
1822 | |
---|
1823 | REAL(wp) :: dum !< dummy to precalculate logarithm |
---|
1824 | REAL(wp) :: flag_u !< flag indicating u-grid, used for calculation of horizontal momentum fluxes at vertical surfaces |
---|
1825 | REAL(wp) :: flag_v !< flag indicating v-grid, used for calculation of horizontal momentum fluxes at vertical surfaces |
---|
1826 | REAL(wp), DIMENSION(:), ALLOCATABLE :: u_i !< u-component interpolated onto scalar grid point, required for momentum fluxes at vertical surfaces |
---|
1827 | REAL(wp), DIMENSION(:), ALLOCATABLE :: v_i !< v-component interpolated onto scalar grid point, required for momentum fluxes at vertical surfaces |
---|
1828 | REAL(wp), DIMENSION(:), ALLOCATABLE :: w_i !< w-component interpolated onto scalar grid point, required for momentum fluxes at vertical surfaces |
---|
1829 | |
---|
1830 | ! |
---|
1831 | !-- Calcuate surface fluxes at horizontal walls |
---|
1832 | IF ( .NOT. surf_vertical ) THEN |
---|
1833 | ! |
---|
1834 | !-- Compute u'w' for the total model domain at upward-facing surfaces. |
---|
1835 | !-- First compute the corresponding component of u* and square it. |
---|
1836 | IF ( .NOT. downward ) THEN |
---|
1837 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1838 | DO m = 1, surf%ns |
---|
1839 | |
---|
1840 | i = surf%i(m) |
---|
1841 | j = surf%j(m) |
---|
1842 | k = surf%k(m) |
---|
1843 | |
---|
1844 | z_mo = surf%z_mo(m) |
---|
1845 | |
---|
1846 | surf%usws(m) = kappa * ( u(k,j,i) - u(k-1,j,i) ) & |
---|
1847 | / ( LOG( z_mo / surf%z0(m) ) & |
---|
1848 | - psi_m( z_mo / surf%ol(m) ) & |
---|
1849 | + psi_m( surf%z0(m) / surf%ol(m) ) ) |
---|
1850 | ! |
---|
1851 | !-- Please note, the computation of usws is not fully accurate. Actually |
---|
1852 | !-- a further interpolation of us onto the u-grid, where usws is defined, |
---|
1853 | !-- is required. However, this is not done as this would require several |
---|
1854 | !-- data transfers between 2D-grid and the surf-type. |
---|
1855 | !-- The impact of the missing interpolation is negligible as several |
---|
1856 | !-- tests had shown. |
---|
1857 | !-- Same also for ol. |
---|
1858 | surf%usws(m) = -surf%usws(m) * surf%us(m) * rho_air_zw(k-1) |
---|
1859 | |
---|
1860 | ENDDO |
---|
1861 | ! |
---|
1862 | !-- At downward-facing surfaces |
---|
1863 | ELSE |
---|
1864 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1865 | DO m = 1, surf%ns |
---|
1866 | |
---|
1867 | i = surf%i(m) |
---|
1868 | j = surf%j(m) |
---|
1869 | k = surf%k(m) |
---|
1870 | |
---|
1871 | z_mo = surf%z_mo(m) |
---|
1872 | |
---|
1873 | surf%usws(m) = kappa * u(k,j,i) / LOG( z_mo / surf%z0(m) ) |
---|
1874 | ! |
---|
1875 | !-- To Do: Is the sign correct??? |
---|
1876 | surf%usws(m) = surf%usws(m) * surf%us(m) * rho_air_zw(k) |
---|
1877 | |
---|
1878 | ENDDO |
---|
1879 | ENDIF |
---|
1880 | |
---|
1881 | ! |
---|
1882 | !-- Compute v'w' for the total model domain. |
---|
1883 | !-- First compute the corresponding component of u* and square it. |
---|
1884 | !-- Upward-facing surfaces |
---|
1885 | IF ( .NOT. downward ) THEN |
---|
1886 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1887 | DO m = 1, surf%ns |
---|
1888 | i = surf%i(m) |
---|
1889 | j = surf%j(m) |
---|
1890 | k = surf%k(m) |
---|
1891 | |
---|
1892 | z_mo = surf%z_mo(m) |
---|
1893 | |
---|
1894 | surf%vsws(m) = kappa * ( v(k,j,i) - v(k-1,j,i) ) & |
---|
1895 | / ( LOG( z_mo / surf%z0(m) ) & |
---|
1896 | - psi_m( z_mo / surf%ol(m) ) & |
---|
1897 | + psi_m( surf%z0(m) / surf%ol(m) ) ) |
---|
1898 | ! |
---|
1899 | !-- Please note, the computation of vsws is not fully accurate. Actually |
---|
1900 | !-- a further interpolation of us onto the v-grid, where vsws is defined, |
---|
1901 | !-- is required. However, this is not done as this would require several |
---|
1902 | !-- data transfers between 2D-grid and the surf-type. |
---|
1903 | !-- The impact of the missing interpolation is negligible as several |
---|
1904 | !-- tests had shown. |
---|
1905 | !-- Same also for ol. |
---|
1906 | surf%vsws(m) = -surf%vsws(m) * surf%us(m) * rho_air_zw(k-1) |
---|
1907 | ENDDO |
---|
1908 | ! |
---|
1909 | !-- Downward-facing surfaces |
---|
1910 | ELSE |
---|
1911 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
1912 | DO m = 1, surf%ns |
---|
1913 | i = surf%i(m) |
---|
1914 | j = surf%j(m) |
---|
1915 | k = surf%k(m) |
---|
1916 | |
---|
1917 | z_mo = surf%z_mo(m) |
---|
1918 | |
---|
1919 | surf%vsws(m) = kappa * v(k,j,i) / LOG( z_mo / surf%z0(m) ) |
---|
1920 | |
---|
1921 | surf%vsws(m) = surf%vsws(m) * surf%us(m) * rho_air_zw(k) |
---|
1922 | ENDDO |
---|
1923 | ENDIF |
---|
1924 | ! |
---|
1925 | !-- Compute the vertical kinematic heat flux |
---|
1926 | IF ( .NOT. constant_heatflux .AND. ( ( time_since_reference_point& |
---|
1927 | <= skip_time_do_lsm .AND. simulated_time > 0.0_wp ) .OR. & |
---|
1928 | .NOT. land_surface ) .AND. .NOT. urban_surface .AND. & |
---|
1929 | .NOT. downward ) THEN |
---|
1930 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
1931 | DO m = 1, surf%ns |
---|
1932 | i = surf%i(m) |
---|
1933 | j = surf%j(m) |
---|
1934 | k = surf%k(m) |
---|
1935 | surf%shf(m) = -surf%ts(m) * surf%us(m) * rho_air_zw(k-1) |
---|
1936 | ENDDO |
---|
1937 | ENDIF |
---|
1938 | ! |
---|
1939 | !-- Compute the vertical water flux |
---|
1940 | IF ( .NOT. constant_waterflux .AND. humidity .AND. & |
---|
1941 | ( ( time_since_reference_point <= skip_time_do_lsm .AND. & |
---|
1942 | simulated_time > 0.0_wp ) .OR. .NOT. land_surface ) .AND. & |
---|
1943 | .NOT. downward ) THEN |
---|
1944 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
1945 | DO m = 1, surf%ns |
---|
1946 | i = surf%i(m) |
---|
1947 | j = surf%j(m) |
---|
1948 | k = surf%k(m) |
---|
1949 | surf%qsws(m) = -surf%qs(m) * surf%us(m) * rho_air_zw(k-1) |
---|
1950 | ENDDO |
---|
1951 | ENDIF |
---|
1952 | ! |
---|
1953 | !-- Compute the vertical scalar flux |
---|
1954 | IF ( .NOT. constant_scalarflux .AND. passive_scalar .AND. & |
---|
1955 | .NOT. downward ) THEN |
---|
1956 | !$OMP PARALLEL DO PRIVATE( i, j ) |
---|
1957 | DO m = 1, surf%ns |
---|
1958 | |
---|
1959 | i = surf%i(m) |
---|
1960 | j = surf%j(m) |
---|
1961 | surf%ssws(m) = -surf%ss(m) * surf%us(m) |
---|
1962 | |
---|
1963 | ENDDO |
---|
1964 | ENDIF |
---|
1965 | ! |
---|
1966 | !-- Compute (turbulent) fluxes of cloud water content and cloud drop conc. |
---|
1967 | IF ( cloud_physics .AND. microphysics_morrison .AND. & |
---|
1968 | .NOT. downward) THEN |
---|
1969 | !$OMP PARALLEL DO PRIVATE( i, j ) |
---|
1970 | DO m = 1, surf%ns |
---|
1971 | |
---|
1972 | i = surf%i(m) |
---|
1973 | j = surf%j(m) |
---|
1974 | |
---|
1975 | surf%qcsws(m) = -surf%qcs(m) * surf%us(m) |
---|
1976 | surf%ncsws(m) = -surf%ncs(m) * surf%us(m) |
---|
1977 | ENDDO |
---|
1978 | ENDIF |
---|
1979 | ! |
---|
1980 | !-- Compute (turbulent) fluxes of rain water content and rain drop conc. |
---|
1981 | IF ( cloud_physics .AND. microphysics_seifert .AND. & |
---|
1982 | .NOT. downward) THEN |
---|
1983 | !$OMP PARALLEL DO PRIVATE( i, j ) |
---|
1984 | DO m = 1, surf%ns |
---|
1985 | |
---|
1986 | i = surf%i(m) |
---|
1987 | j = surf%j(m) |
---|
1988 | |
---|
1989 | surf%qrsws(m) = -surf%qrs(m) * surf%us(m) |
---|
1990 | surf%nrsws(m) = -surf%nrs(m) * surf%us(m) |
---|
1991 | ENDDO |
---|
1992 | ENDIF |
---|
1993 | |
---|
1994 | ! |
---|
1995 | !-- Bottom boundary condition for the TKE. |
---|
1996 | IF ( ibc_e_b == 2 ) THEN |
---|
1997 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
1998 | DO m = 1, surf%ns |
---|
1999 | |
---|
2000 | i = surf%i(m) |
---|
2001 | j = surf%j(m) |
---|
2002 | k = surf%k(m) |
---|
2003 | |
---|
2004 | e(k,j,i) = ( surf%us(m) / 0.1_wp )**2 |
---|
2005 | ! |
---|
2006 | !-- As a test: cm = 0.4 |
---|
2007 | ! e(k,j,i) = ( us(j,i) / 0.4_wp )**2 |
---|
2008 | e(k-1,j,i) = e(k,j,i) |
---|
2009 | |
---|
2010 | ENDDO |
---|
2011 | ENDIF |
---|
2012 | ! |
---|
2013 | !-- Calcuate surface fluxes at vertical surfaces. No stability is considered. |
---|
2014 | ELSE |
---|
2015 | ! |
---|
2016 | !-- Compute usvs l={0,1} and vsus l={2,3} |
---|
2017 | IF ( mom_uv ) THEN |
---|
2018 | ! |
---|
2019 | !-- Generalize computation by introducing flags. At north- and south- |
---|
2020 | !-- facing surfaces u-component is used, at east- and west-facing |
---|
2021 | !-- surfaces v-component is used. |
---|
2022 | flag_u = MERGE( 1.0_wp, 0.0_wp, l == 0 .OR. l == 1 ) |
---|
2023 | flag_v = MERGE( 1.0_wp, 0.0_wp, l == 2 .OR. l == 3 ) |
---|
2024 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
2025 | DO m = 1, surf%ns |
---|
2026 | i = surf%i(m) |
---|
2027 | j = surf%j(m) |
---|
2028 | k = surf%k(m) |
---|
2029 | |
---|
2030 | z_mo = surf%z_mo(m) |
---|
2031 | |
---|
2032 | surf%mom_flux_uv(m) = kappa * & |
---|
2033 | ( flag_u * u(k,j,i) + flag_v * v(k,j,i) ) / & |
---|
2034 | LOG( z_mo / surf%z0(m) ) |
---|
2035 | |
---|
2036 | surf%mom_flux_uv(m) = & |
---|
2037 | - surf%mom_flux_uv(m) * surf%us(m) |
---|
2038 | ENDDO |
---|
2039 | ENDIF |
---|
2040 | ! |
---|
2041 | !-- Compute wsus l={0,1} and wsvs l={2,3} |
---|
2042 | IF ( mom_w ) THEN |
---|
2043 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
2044 | DO m = 1, surf%ns |
---|
2045 | i = surf%i(m) |
---|
2046 | j = surf%j(m) |
---|
2047 | k = surf%k(m) |
---|
2048 | |
---|
2049 | z_mo = surf%z_mo(m) |
---|
2050 | |
---|
2051 | surf%mom_flux_w(m) = kappa * w(k,j,i) / LOG( z_mo / surf%z0(m) ) |
---|
2052 | |
---|
2053 | surf%mom_flux_w(m) = & |
---|
2054 | - surf%mom_flux_w(m) * surf%us(m) |
---|
2055 | ENDDO |
---|
2056 | ENDIF |
---|
2057 | ! |
---|
2058 | !-- Compute momentum fluxes used for subgrid-scale TKE production at |
---|
2059 | !-- vertical surfaces. In constrast to the calculated momentum fluxes at |
---|
2060 | !-- vertical surfaces before, which are defined on the u/v/w-grid, |
---|
2061 | !-- respectively), the TKE fluxes are defined at the scalar grid. |
---|
2062 | !-- |
---|
2063 | IF ( mom_tke ) THEN |
---|
2064 | ! |
---|
2065 | !-- Precalculate velocity components at scalar grid point. |
---|
2066 | ALLOCATE( u_i(1:surf%ns) ) |
---|
2067 | ALLOCATE( v_i(1:surf%ns) ) |
---|
2068 | ALLOCATE( w_i(1:surf%ns) ) |
---|
2069 | |
---|
2070 | IF ( l == 0 .OR. l == 1 ) THEN |
---|
2071 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
2072 | DO m = 1, surf%ns |
---|
2073 | i = surf%i(m) |
---|
2074 | j = surf%j(m) |
---|
2075 | k = surf%k(m) |
---|
2076 | |
---|
2077 | u_i(m) = 0.5_wp * ( u(k,j,i) + u(k,j,i+1) ) |
---|
2078 | v_i(m) = 0.0_wp |
---|
2079 | w_i(m) = 0.5_wp * ( w(k,j,i) + w(k-1,j,i) ) |
---|
2080 | ENDDO |
---|
2081 | ELSE |
---|
2082 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
2083 | DO m = 1, surf%ns |
---|
2084 | i = surf%i(m) |
---|
2085 | j = surf%j(m) |
---|
2086 | k = surf%k(m) |
---|
2087 | |
---|
2088 | u_i(m) = 0.0_wp |
---|
2089 | v_i(m) = 0.5_wp * ( v(k,j,i) + v(k,j+1,i) ) |
---|
2090 | w_i(m) = 0.5_wp * ( w(k,j,i) + w(k-1,j,i) ) |
---|
2091 | ENDDO |
---|
2092 | ENDIF |
---|
2093 | |
---|
2094 | !$OMP PARALLEL DO PRIVATE( i, j, dum, z_mo ) |
---|
2095 | DO m = 1, surf%ns |
---|
2096 | i = surf%i(m) |
---|
2097 | j = surf%j(m) |
---|
2098 | |
---|
2099 | z_mo = surf%z_mo(m) |
---|
2100 | |
---|
2101 | dum = kappa / LOG( z_mo / surf%z0(m) ) |
---|
2102 | ! |
---|
2103 | !-- usvs (l=0,1) and vsus (l=2,3) |
---|
2104 | surf%mom_flux_tke(0,m) = dum * ( u_i(m) + v_i(m) ) |
---|
2105 | ! |
---|
2106 | !-- wsvs (l=0,1) and wsus (l=2,3) |
---|
2107 | surf%mom_flux_tke(1,m) = dum * w_i(m) |
---|
2108 | |
---|
2109 | surf%mom_flux_tke(0:1,m) = & |
---|
2110 | - surf%mom_flux_tke(0:1,m) * surf%us(m) |
---|
2111 | ENDDO |
---|
2112 | ! |
---|
2113 | !-- Deallocate temporary arrays |
---|
2114 | DEALLOCATE( u_i ) |
---|
2115 | DEALLOCATE( v_i ) |
---|
2116 | DEALLOCATE( w_i ) |
---|
2117 | ENDIF |
---|
2118 | ENDIF |
---|
2119 | |
---|
2120 | END SUBROUTINE calc_surface_fluxes |
---|
2121 | |
---|
2122 | |
---|
2123 | ! |
---|
2124 | !-- Integrated stability function for momentum |
---|
2125 | FUNCTION psi_m( zeta ) |
---|
2126 | |
---|
2127 | USE kinds |
---|
2128 | |
---|
2129 | IMPLICIT NONE |
---|
2130 | |
---|
2131 | REAL(wp) :: psi_m !< Integrated similarity function result |
---|
2132 | REAL(wp) :: zeta !< Stability parameter z/L |
---|
2133 | REAL(wp) :: x !< dummy variable |
---|
2134 | |
---|
2135 | REAL(wp), PARAMETER :: a = 1.0_wp !< constant |
---|
2136 | REAL(wp), PARAMETER :: b = 0.66666666666_wp !< constant |
---|
2137 | REAL(wp), PARAMETER :: c = 5.0_wp !< constant |
---|
2138 | REAL(wp), PARAMETER :: d = 0.35_wp !< constant |
---|
2139 | REAL(wp), PARAMETER :: c_d_d = c / d !< constant |
---|
2140 | REAL(wp), PARAMETER :: bc_d_d = b * c / d !< constant |
---|
2141 | |
---|
2142 | |
---|
2143 | IF ( zeta < 0.0_wp ) THEN |
---|
2144 | x = SQRT( SQRT( 1.0_wp - 16.0_wp * zeta ) ) |
---|
2145 | psi_m = pi * 0.5_wp - 2.0_wp * ATAN( x ) + LOG( ( 1.0_wp + x )**2 & |
---|
2146 | * ( 1.0_wp + x**2 ) * 0.125_wp ) |
---|
2147 | ELSE |
---|
2148 | |
---|
2149 | psi_m = - b * ( zeta - c_d_d ) * EXP( -d * zeta ) - a * zeta & |
---|
2150 | - bc_d_d |
---|
2151 | ! |
---|
2152 | !-- Old version for stable conditions (only valid for z/L < 0.5) |
---|
2153 | !-- psi_m = - 5.0_wp * zeta |
---|
2154 | |
---|
2155 | ENDIF |
---|
2156 | |
---|
2157 | END FUNCTION psi_m |
---|
2158 | |
---|
2159 | |
---|
2160 | ! |
---|
2161 | !-- Integrated stability function for heat and moisture |
---|
2162 | FUNCTION psi_h( zeta ) |
---|
2163 | |
---|
2164 | USE kinds |
---|
2165 | |
---|
2166 | IMPLICIT NONE |
---|
2167 | |
---|
2168 | REAL(wp) :: psi_h !< Integrated similarity function result |
---|
2169 | REAL(wp) :: zeta !< Stability parameter z/L |
---|
2170 | REAL(wp) :: x !< dummy variable |
---|
2171 | |
---|
2172 | REAL(wp), PARAMETER :: a = 1.0_wp !< constant |
---|
2173 | REAL(wp), PARAMETER :: b = 0.66666666666_wp !< constant |
---|
2174 | REAL(wp), PARAMETER :: c = 5.0_wp !< constant |
---|
2175 | REAL(wp), PARAMETER :: d = 0.35_wp !< constant |
---|
2176 | REAL(wp), PARAMETER :: c_d_d = c / d !< constant |
---|
2177 | REAL(wp), PARAMETER :: bc_d_d = b * c / d !< constant |
---|
2178 | |
---|
2179 | |
---|
2180 | IF ( zeta < 0.0_wp ) THEN |
---|
2181 | x = SQRT( 1.0_wp - 16.0_wp * zeta ) |
---|
2182 | psi_h = 2.0_wp * LOG( (1.0_wp + x ) / 2.0_wp ) |
---|
2183 | ELSE |
---|
2184 | psi_h = - b * ( zeta - c_d_d ) * EXP( -d * zeta ) - (1.0_wp & |
---|
2185 | + 0.66666666666_wp * a * zeta )**1.5_wp - bc_d_d & |
---|
2186 | + 1.0_wp |
---|
2187 | ! |
---|
2188 | !-- Old version for stable conditions (only valid for z/L < 0.5) |
---|
2189 | !-- psi_h = - 5.0_wp * zeta |
---|
2190 | ENDIF |
---|
2191 | |
---|
2192 | END FUNCTION psi_h |
---|
2193 | |
---|
2194 | END MODULE surface_layer_fluxes_mod |
---|