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 terms |
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6 | ! of the GNU General Public License as published by the Free Software Foundation, |
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7 | ! either version 3 of the License, or (at your option) any later version. |
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8 | ! |
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9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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10 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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11 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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12 | ! |
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13 | ! You should have received a copy of the GNU General Public License along with |
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14 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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15 | ! |
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16 | ! Copyright 1997-2016 Leibniz Universitaet Hannover |
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17 | ! |
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18 | !--------------------------------------------------------------------------------! |
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19 | ! Current revisions: |
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20 | ! ------------------ |
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21 | ! |
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22 | ! |
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23 | ! Former revisions: |
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24 | ! ----------------- |
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25 | ! $Id: surface_layer_fluxes_mod.f90 1930 2016-06-09 16:32:12Z suehring $ |
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26 | ! |
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27 | ! 1929 2016-06-09 16:25:25Z suehring |
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28 | ! Bugfix: avoid segmentation fault in case one grid point is horizontally |
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29 | ! completely surrounded by topography |
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30 | ! |
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31 | ! 1920 2016-05-30 10:50:15Z suehring |
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32 | ! Avoid segmentation fault (see change in 1915) by different initialization of |
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33 | ! us instead of adding a very small number in the denominator |
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34 | ! |
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35 | ! 1915 2016-05-27 11:05:02Z suehring |
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36 | ! Bugfix: avoid segmentation fault in case of most_method = 'circular' at first |
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37 | ! timestep |
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38 | ! |
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39 | ! 1850 2016-04-08 13:29:27Z maronga |
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40 | ! Module renamed |
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41 | ! |
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42 | ! |
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43 | ! 1822 2016-04-07 07:49:42Z hoffmann |
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44 | ! icloud_scheme replaced by microphysics_* |
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45 | ! |
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46 | ! 1788 2016-03-10 11:01:04Z maronga |
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47 | ! Added parameter z0q which replaces z0h in the similarity functions for |
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48 | ! humidity. |
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49 | ! Syntax layout improved. |
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50 | ! |
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51 | ! 1757 2016-02-22 15:49:32Z maronga |
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52 | ! Minor fixes. |
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53 | ! |
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54 | ! 1749 2016-02-09 12:19:56Z raasch |
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55 | ! further OpenACC adjustments |
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56 | ! |
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57 | ! 1747 2016-02-08 12:25:53Z raasch |
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58 | ! adjustments for OpenACC usage |
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59 | ! |
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60 | ! 1709 2015-11-04 14:47:01Z maronga |
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61 | ! Bugfix: division by zero could occur when calculating rib at low wind speeds |
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62 | ! Bugfix: calculation of uv_total for neutral = .T., initial value for ol for |
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63 | ! neutral = .T. |
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64 | ! |
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65 | ! 1705 2015-11-02 14:28:56Z maronga |
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66 | ! Typo removed |
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67 | ! |
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68 | ! 1697 2015-10-28 17:14:10Z raasch |
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69 | ! FORTRAN and OpenMP errors removed |
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70 | ! |
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71 | ! 1696 2015-10-27 10:03:34Z maronga |
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72 | ! Modularized and completely re-written version of prandtl_fluxes.f90. In the |
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73 | ! course of the re-writing two additional methods have been implemented. See |
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74 | ! updated description. |
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75 | ! |
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76 | ! 1551 2015-03-03 14:18:16Z maronga |
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77 | ! Removed land surface model part. The surface fluxes are now always calculated |
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78 | ! within prandtl_fluxes, based on the given surface temperature/humidity (which |
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79 | ! is either provided by the land surface model, by large scale forcing data, or |
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80 | ! directly prescribed by the user. |
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81 | ! |
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82 | ! 1496 2014-12-02 17:25:50Z maronga |
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83 | ! Adapted for land surface model |
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84 | ! |
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85 | ! 1494 2014-11-21 17:14:03Z maronga |
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86 | ! Bugfixes: qs is now calculated before calculation of Rif. calculation of |
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87 | ! buoyancy flux in Rif corrected (added missing humidity term), allow use of |
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88 | ! topography for coupled runs (not tested) |
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89 | ! |
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90 | ! 1361 2014-04-16 15:17:48Z hoffmann |
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91 | ! Bugfix: calculation of turbulent fluxes of rain water content (qrsws) and rain |
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92 | ! drop concentration (nrsws) added |
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93 | ! |
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94 | ! 1340 2014-03-25 19:45:13Z kanani |
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95 | ! REAL constants defined as wp-kind |
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96 | ! |
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97 | ! 1320 2014-03-20 08:40:49Z raasch |
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98 | ! ONLY-attribute added to USE-statements, |
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99 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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100 | ! kinds are defined in new module kinds, |
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101 | ! old module precision_kind is removed, |
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102 | ! revision history before 2012 removed, |
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103 | ! comment fields (!:) to be used for variable explanations added to |
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104 | ! all variable declaration statements |
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105 | ! |
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106 | ! 1276 2014-01-15 13:40:41Z heinze |
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107 | ! Use LSF_DATA also in case of Dirichlet bottom boundary condition for scalars |
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108 | ! |
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109 | ! 1257 2013-11-08 15:18:40Z raasch |
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110 | ! openACC "kernels do" replaced by "kernels loop", "loop independent" added |
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111 | ! |
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112 | ! 1036 2012-10-22 13:43:42Z raasch |
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113 | ! code put under GPL (PALM 3.9) |
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114 | ! |
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115 | ! 1015 2012-09-27 09:23:24Z raasch |
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116 | ! OpenACC statements added |
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117 | ! |
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118 | ! 978 2012-08-09 08:28:32Z fricke |
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119 | ! roughness length for scalar quantities z0h added |
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120 | ! |
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121 | ! Revision 1.1 1998/01/23 10:06:06 raasch |
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122 | ! Initial revision |
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123 | ! |
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124 | ! |
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125 | ! Description: |
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126 | ! ------------ |
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127 | !> Diagnostic computation of vertical fluxes in the constant flux layer from the |
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128 | !> values of the variables at grid point k=1. Three different methods are |
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129 | !> available: |
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130 | !> 1) the "old" version (most_method = 'circular') which is fast, but inaccurate |
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131 | !> 2) a Newton iteration method (most_method = 'newton'), which is accurate, but |
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132 | !> slower |
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133 | !> 3) a method using a lookup table which is fast and accurate. Note, however, |
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134 | !> that this method cannot be used in case of roughness heterogeneity |
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135 | !> |
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136 | !> @todo (re)move large_scale_forcing actions |
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137 | !> @todo check/optimize OpenMP and OpenACC directives |
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138 | !------------------------------------------------------------------------------! |
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139 | MODULE surface_layer_fluxes_mod |
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140 | |
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141 | USE arrays_3d, & |
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142 | ONLY: e, kh, nr, nrs, nrsws, ol, pt, q, ql, qr, qrs, qrsws, qs, qsws, & |
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143 | shf, ts, u, us, usws, v, vpt, vsws, zu, zw, z0, z0h, z0q |
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144 | |
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145 | USE cloud_parameters, & |
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146 | ONLY: l_d_cp, pt_d_t |
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147 | |
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148 | USE constants, & |
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149 | ONLY: pi |
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150 | |
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151 | USE cpulog |
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152 | |
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153 | USE control_parameters, & |
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154 | ONLY: cloud_physics, constant_heatflux, constant_waterflux, & |
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155 | coupling_mode, g, humidity, ibc_e_b, ibc_pt_b, & |
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156 | initializing_actions, kappa, intermediate_timestep_count, & |
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157 | intermediate_timestep_count_max, large_scale_forcing, lsf_surf, & |
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158 | message_string, microphysics_seifert, most_method, neutral, & |
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159 | passive_scalar, pt_surface, q_surface, run_coupled, & |
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160 | surface_pressure, simulated_time, terminate_run, zeta_max, & |
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161 | zeta_min |
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162 | |
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163 | USE indices, & |
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164 | ONLY: nxl, nxlg, nxr, nxrg, nys, nysg, nyn, nyng, nzb_s_inner, & |
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165 | nzb_u_inner, nzb_v_inner |
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166 | |
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167 | USE kinds |
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168 | |
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169 | USE pegrid |
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170 | |
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171 | USE land_surface_model_mod, & |
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172 | ONLY: land_surface, skip_time_do_lsm |
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173 | |
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174 | IMPLICIT NONE |
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175 | |
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176 | INTEGER(iwp) :: i !< loop index x direction |
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177 | INTEGER(iwp) :: j !< loop index y direction |
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178 | INTEGER(iwp) :: k !< loop index z direction |
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179 | |
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180 | INTEGER(iwp), PARAMETER :: num_steps = 15000 !< number of steps in the lookup table |
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181 | |
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182 | LOGICAL :: coupled_run !< Flag for coupled atmosphere-ocean runs |
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183 | |
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184 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: pt1, & !< Potential temperature at first grid level (required for cloud_physics = .T.) |
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185 | qv1, & !< Specific humidity at first grid level (required for cloud_physics = .T.) |
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186 | uv_total !< Total velocity at first grid level |
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187 | |
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188 | REAL(wp), DIMENSION(0:num_steps-1) :: rib_tab, & !< Lookup table bulk Richardson number |
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189 | ol_tab !< Lookup table values of L |
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190 | |
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191 | REAL(wp) :: e_s, & !< Saturation water vapor pressure |
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192 | l_bnd = 7500, & !< Lookup table index of the last time step |
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193 | ol_max = 1.0E6_wp, & !< Maximum Obukhov length |
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194 | rib_max, & !< Maximum Richardson number in lookup table |
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195 | rib_min, & !< Minimum Richardson number in lookup table |
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196 | z_mo !< Height of the constant flux layer where MOST is assumed |
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197 | |
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198 | |
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199 | SAVE |
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200 | |
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201 | PRIVATE |
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202 | |
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203 | PUBLIC init_surface_layer_fluxes, pt1, qv1, surface_layer_fluxes, uv_total |
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204 | |
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205 | INTERFACE init_surface_layer_fluxes |
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206 | MODULE PROCEDURE init_surface_layer_fluxes |
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207 | END INTERFACE init_surface_layer_fluxes |
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208 | |
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209 | INTERFACE surface_layer_fluxes |
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210 | MODULE PROCEDURE surface_layer_fluxes |
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211 | END INTERFACE surface_layer_fluxes |
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212 | |
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213 | |
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214 | CONTAINS |
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215 | |
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216 | |
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217 | !------------------------------------------------------------------------------! |
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218 | ! Description: |
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219 | ! ------------ |
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220 | !> Main routine to compute the surface fluxes |
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221 | !------------------------------------------------------------------------------! |
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222 | SUBROUTINE surface_layer_fluxes |
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223 | |
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224 | IMPLICIT NONE |
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225 | |
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226 | ! |
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227 | !-- In case cloud physics is used, it is required to derive potential |
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228 | !-- temperature and specific humidity at first grid level from the fields pt |
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229 | !-- and q |
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230 | IF ( cloud_physics ) THEN |
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231 | CALL calc_pt_q |
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232 | ENDIF |
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233 | |
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234 | ! |
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235 | !-- First, calculate the new Obukhov length, then new friction velocity, |
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236 | !-- followed by the new scaling parameters (th*, q*, etc.), and the new |
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237 | !-- surface fluxes if required. The old routine ("circular") requires a |
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238 | !-- different order of calls as the scaling parameters from the previous time |
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239 | !-- steps are used to calculate the Obukhov length |
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240 | |
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241 | ! |
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242 | !-- Depending on setting of most_method use the "old" routine |
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243 | IF ( most_method == 'circular' ) THEN |
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244 | |
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245 | CALL calc_scaling_parameters |
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246 | |
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247 | CALL calc_uv_total |
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248 | |
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249 | IF ( .NOT. neutral ) THEN |
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250 | CALL calc_ol |
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251 | ENDIF |
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252 | |
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253 | CALL calc_us |
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254 | |
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255 | CALL calc_surface_fluxes |
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256 | |
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257 | ! |
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258 | !-- Use either Newton iteration or a lookup table for the bulk Richardson |
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259 | !-- number to calculate the Obukhov length |
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260 | ELSEIF ( most_method == 'newton' .OR. most_method == 'lookup' ) THEN |
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261 | |
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262 | CALL calc_uv_total |
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263 | |
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264 | IF ( .NOT. neutral ) THEN |
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265 | CALL calc_ol |
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266 | ENDIF |
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267 | |
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268 | CALL calc_us |
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269 | |
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270 | CALL calc_scaling_parameters |
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271 | |
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272 | CALL calc_surface_fluxes |
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273 | |
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274 | ENDIF |
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275 | |
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276 | END SUBROUTINE surface_layer_fluxes |
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277 | |
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278 | |
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279 | !------------------------------------------------------------------------------! |
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280 | ! Description: |
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281 | ! ------------ |
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282 | !> Initializing actions for the surface layer routine. Basically, this involves |
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283 | !> the preparation of a lookup table for the the bulk Richardson number vs |
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284 | !> Obukhov length L when using the lookup table method. |
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285 | !------------------------------------------------------------------------------! |
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286 | SUBROUTINE init_surface_layer_fluxes |
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287 | |
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288 | IMPLICIT NONE |
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289 | |
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290 | INTEGER(iwp) :: l, & !< Index for loop to create lookup table |
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291 | num_steps_n !< Number of non-stretched zeta steps |
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292 | |
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293 | LOGICAL :: terminate_run_l = .FALSE. !< Flag to terminate run (global) |
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294 | |
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295 | REAL(wp), PARAMETER :: zeta_stretch = -10.0_wp !< Start of stretching in the free convection limit |
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296 | |
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297 | REAL(wp), DIMENSION(:), ALLOCATABLE :: zeta_tmp |
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298 | |
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299 | |
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300 | REAL(wp) :: zeta_step, & !< Increment of zeta |
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301 | regr = 1.01_wp, & !< Stretching factor of zeta_step in the free convection limit |
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302 | regr_old = 1.0E9_wp, & !< Stretching factor of last iteration step |
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303 | z0h_min = 0.0_wp, & !< Minimum value of z0h to create table |
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304 | z0_min = 0.0_wp !< Minimum value of z0 to create table |
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305 | ! |
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306 | !-- When cloud physics is used, arrays for storing potential temperature and |
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307 | !-- specific humidity at first grid level are required |
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308 | IF ( cloud_physics ) THEN |
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309 | ALLOCATE ( pt1(nysg:nyng,nxlg:nxrg) ) |
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310 | ALLOCATE ( qv1(nysg:nyng,nxlg:nxrg) ) |
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311 | ENDIF |
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312 | |
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313 | ! |
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314 | !-- Allocate field for storing the horizontal velocity |
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315 | ALLOCATE ( uv_total(nysg:nyng,nxlg:nxrg) ) |
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316 | |
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317 | |
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318 | ! |
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319 | !-- In case of runs with neutral statification, set Obukhov length to a |
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320 | !-- large value |
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321 | IF ( neutral ) ol = 1.0E10_wp |
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322 | |
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323 | IF ( most_method == 'lookup' ) THEN |
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324 | |
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325 | ! |
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326 | !-- Check for roughness heterogeneity. In that case terminate run and |
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327 | !-- inform user |
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328 | IF ( MINVAL( z0h ) /= MAXVAL( z0h ) .OR. & |
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329 | MINVAL( z0 ) /= MAXVAL( z0 ) ) THEN |
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330 | terminate_run_l = .TRUE. |
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331 | ENDIF |
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332 | |
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333 | #if defined( __parallel ) |
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334 | ! |
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335 | !-- Make a logical OR for all processes. Force termiation of model if result |
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336 | !-- is TRUE |
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337 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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338 | CALL MPI_ALLREDUCE( terminate_run_l, terminate_run, 1, MPI_LOGICAL, & |
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339 | MPI_LOR, comm2d, ierr ) |
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340 | #else |
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341 | terminate_run = terminate_run_l |
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342 | #endif |
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343 | |
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344 | IF ( terminate_run ) THEN |
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345 | message_string = 'most_method = "lookup" cannot be used in ' // & |
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346 | 'combination with a prescribed roughness ' // & |
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347 | 'heterogeneity' |
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348 | CALL message( 'surface_layer_fluxes', 'PA0417', 1, 2, 0, 6, 0 ) |
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349 | ENDIF |
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350 | |
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351 | ALLOCATE( zeta_tmp(0:num_steps-1) ) |
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352 | |
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353 | ! |
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354 | !-- Use the lowest possible value for z_mo |
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355 | k = MINVAL(nzb_s_inner) |
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356 | z_mo = zu(k+1) - zw(k) |
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357 | |
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358 | ! |
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359 | !-- Calculate z/L range from zeta_stretch to zeta_max using 90% of the |
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360 | !-- available steps (num_steps). The calculation is done with negative |
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361 | !-- values of zeta in order to simplify the stretching in the free |
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362 | !-- convection limit for the remaining 10% of steps. |
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363 | zeta_tmp(0) = - zeta_max |
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364 | num_steps_n = ( num_steps * 9 / 10 ) - 1 |
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365 | zeta_step = (zeta_max - zeta_stretch) / REAL(num_steps_n) |
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366 | |
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367 | DO l = 1, num_steps_n |
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368 | zeta_tmp(l) = zeta_tmp(l-1) + zeta_step |
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369 | ENDDO |
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370 | |
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371 | ! |
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372 | !-- Calculate stretching factor for the free convection range |
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373 | DO WHILE ( ABS( (regr-regr_old) / regr_old ) > 1.0E-10_wp ) |
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374 | regr_old = regr |
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375 | regr = ( 1.0_wp - ( -zeta_min / zeta_step ) * ( 1.0_wp - regr ) & |
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376 | )**( 10.0_wp / REAL(num_steps) ) |
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377 | ENDDO |
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378 | |
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379 | ! |
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380 | !-- Calculate z/L range from zeta_min to zeta_stretch |
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381 | DO l = num_steps_n+1, num_steps-1 |
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382 | zeta_tmp(l) = zeta_tmp(l-1) + zeta_step |
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383 | zeta_step = zeta_step * regr |
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384 | ENDDO |
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385 | |
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386 | ! |
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387 | !-- Save roughness lengths to temporary variables |
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388 | z0h_min = z0h(nys,nxl) |
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389 | z0_min = z0(nys,nxl) |
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390 | |
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391 | ! |
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392 | !-- Calculate lookup table for the Richardson number versus Obukhov length |
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393 | !-- The Richardson number (rib) is defined depending on the choice of |
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394 | !-- boundary conditions for temperature |
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395 | IF ( ibc_pt_b == 1 ) THEN |
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396 | DO l = 0, num_steps-1 |
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397 | ol_tab(l) = - z_mo / zeta_tmp(num_steps-1-l) |
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398 | rib_tab(l) = z_mo / ol_tab(l) / ( LOG( z_mo / z0_min ) & |
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399 | - psi_m( z_mo / ol_tab(l) ) & |
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400 | + psi_m( z0_min / ol_tab(l) ) & |
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401 | )**3 |
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402 | ENDDO |
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403 | ELSE |
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404 | DO l = 0, num_steps-1 |
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405 | ol_tab(l) = - z_mo / zeta_tmp(num_steps-1-l) |
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406 | rib_tab(l) = z_mo / ol_tab(l) * ( LOG( z_mo / z0h_min ) & |
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407 | - psi_h( z_mo / ol_tab(l) ) & |
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408 | + psi_h( z0h_min / ol_tab(l) ) & |
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409 | ) & |
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410 | / ( LOG( z_mo / z0_min ) & |
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411 | - psi_m( z_mo / ol_tab(l) ) & |
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412 | + psi_m( z0_min / ol_tab(l) ) & |
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413 | )**2 |
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414 | ENDDO |
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415 | ENDIF |
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416 | |
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417 | ! |
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418 | !-- Determine minimum values of rib in the lookup table. Set upper limit |
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419 | !-- to critical Richardson number (0.25) |
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420 | rib_min = MINVAL(rib_tab) |
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421 | rib_max = 0.25 !MAXVAL(rib_tab) |
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422 | |
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423 | DEALLOCATE( zeta_tmp ) |
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424 | ENDIF |
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425 | |
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426 | END SUBROUTINE init_surface_layer_fluxes |
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427 | |
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428 | |
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429 | !------------------------------------------------------------------------------! |
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430 | ! Description: |
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431 | ! ------------ |
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432 | !> Compute the absolute value of the horizontal velocity (relative to the |
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433 | !> surface). This is required by all methods |
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434 | !------------------------------------------------------------------------------! |
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435 | SUBROUTINE calc_uv_total |
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436 | |
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437 | IMPLICIT NONE |
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438 | |
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439 | |
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440 | !$OMP PARALLEL DO PRIVATE( k ) |
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441 | !$acc kernels loop present( nzb_s_inner, u, uv_total, v ) private( j, k ) |
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442 | DO i = nxl, nxr |
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443 | DO j = nys, nyn |
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444 | |
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445 | k = nzb_s_inner(j,i) |
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446 | uv_total(j,i) = SQRT( ( 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) & |
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447 | - u(k,j,i) - u(k,j,i+1) ) )**2 + & |
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448 | ( 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) & |
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449 | - v(k,j,i) - v(k,j+1,i) ) )**2 ) |
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450 | |
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451 | ! |
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452 | !-- For too small values of the local wind, MOST does not work. A |
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453 | !-- threshold value is thus set if required |
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454 | ! uv_total(j,i) = MAX(0.01_wp,uv_total(j,i)) |
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455 | |
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456 | ENDDO |
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457 | ENDDO |
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458 | |
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459 | ! |
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460 | !-- Values of uv_total need to be exchanged at the ghost boundaries |
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461 | !$acc update host( uv_total ) |
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462 | CALL exchange_horiz_2d( uv_total ) |
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463 | !$acc update device( uv_total ) |
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464 | |
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465 | END SUBROUTINE calc_uv_total |
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466 | |
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467 | |
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468 | !------------------------------------------------------------------------------! |
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469 | ! Description: |
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470 | ! ------------ |
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471 | !> Calculate the Obukhov length (L) and Richardson flux number (z/L) |
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472 | !------------------------------------------------------------------------------! |
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473 | SUBROUTINE calc_ol |
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474 | |
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475 | IMPLICIT NONE |
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476 | |
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477 | INTEGER(iwp) :: iter, & !< Newton iteration step |
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478 | l !< look index |
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479 | |
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480 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: rib !< Bulk Richardson number |
---|
481 | |
---|
482 | REAL(wp) :: f, & !< Function for Newton iteration: f = Ri - [...]/[...]^2 = 0 |
---|
483 | f_d_ol, & !< Derivative of f |
---|
484 | ol_l, & !< Lower bound of L for Newton iteration |
---|
485 | ol_m, & !< Previous value of L for Newton iteration |
---|
486 | ol_old, & !< Previous time step value of L |
---|
487 | ol_u !< Upper bound of L for Newton iteration |
---|
488 | |
---|
489 | IF ( TRIM( most_method ) /= 'circular' ) THEN |
---|
490 | |
---|
491 | !$acc data present( nzb_s_inner, pt, q, qsws, rib, shf, uv_total, vpt, zu, zw ) |
---|
492 | |
---|
493 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
494 | !$acc kernels loop private( j, k, z_mo ) |
---|
495 | DO i = nxl, nxr |
---|
496 | DO j = nys, nyn |
---|
497 | |
---|
498 | k = nzb_s_inner(j,i) |
---|
499 | z_mo = zu(k+1) - zw(k) |
---|
500 | |
---|
501 | ! |
---|
502 | !-- Evaluate bulk Richardson number (calculation depends on |
---|
503 | !-- definition based on setting of boundary conditions |
---|
504 | IF ( ibc_pt_b /= 1 ) THEN |
---|
505 | IF ( humidity ) THEN |
---|
506 | rib(j,i) = g * z_mo * ( vpt(k+1,j,i) - vpt(k,j,i) ) & |
---|
507 | / ( uv_total(j,i)**2 * vpt(k+1,j,i) + 1.0E-20_wp ) |
---|
508 | ELSE |
---|
509 | rib(j,i) = g * z_mo * ( pt(k+1,j,i) - pt(k,j,i) ) & |
---|
510 | / ( uv_total(j,i)**2 * pt(k+1,j,i) + 1.0E-20_wp ) |
---|
511 | ENDIF |
---|
512 | ELSE |
---|
513 | ! |
---|
514 | !-- When using Neumann boundary conditions, the buoyancy flux |
---|
515 | !-- is required but cannot be calculated at the surface, as pt |
---|
516 | !-- and q are not known at the surface. Hence the values at |
---|
517 | !-- first grid level are used to estimate the buoyancy flux |
---|
518 | IF ( humidity ) THEN |
---|
519 | rib(j,i) = - g * z_mo * ( ( 1.0_wp + 0.61_wp & |
---|
520 | * q(k+1,j,i) ) * shf(j,i) + 0.61_wp & |
---|
521 | * pt(k+1,j,i) * qsws(j,i) ) & |
---|
522 | / ( uv_total(j,i)**3 * vpt(k+1,j,i) * kappa**2& |
---|
523 | + 1.0E-20_wp) |
---|
524 | ELSE |
---|
525 | rib(j,i) = - g * z_mo * shf(j,i) & |
---|
526 | / ( uv_total(j,i)**3 * pt(k+1,j,i) * kappa**2 & |
---|
527 | + 1.0E-20_wp ) |
---|
528 | ENDIF |
---|
529 | ENDIF |
---|
530 | |
---|
531 | ENDDO |
---|
532 | ENDDO |
---|
533 | !$acc end data |
---|
534 | |
---|
535 | ENDIF |
---|
536 | |
---|
537 | ! |
---|
538 | !-- Calculate the Obukhov length either using a Newton iteration |
---|
539 | !-- method, via a lookup table, or using the old circular way |
---|
540 | IF ( TRIM( most_method ) == 'newton' ) THEN |
---|
541 | |
---|
542 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
543 | !# WARNING: does not work on GPU so far because of DO-loop with |
---|
544 | !# undetermined iterations |
---|
545 | !!!!!!$acc kernels loop |
---|
546 | DO i = nxl, nxr |
---|
547 | DO j = nys, nyn |
---|
548 | |
---|
549 | k = nzb_s_inner(j,i) |
---|
550 | z_mo = zu(k+1) - zw(k) |
---|
551 | |
---|
552 | ! |
---|
553 | !-- Store current value in case the Newton iteration fails |
---|
554 | ol_old = ol(j,i) |
---|
555 | |
---|
556 | ! |
---|
557 | !-- Ensure that the bulk Richardson number and the Obukhov |
---|
558 | !-- lengtH have the same sign |
---|
559 | IF ( rib(j,i) * ol(j,i) < 0.0_wp .OR. & |
---|
560 | ABS( ol(j,i) ) == ol_max ) THEN |
---|
561 | IF ( rib(j,i) > 0.0_wp ) ol(j,i) = 0.01_wp |
---|
562 | IF ( rib(j,i) < 0.0_wp ) ol(j,i) = -0.01_wp |
---|
563 | ENDIF |
---|
564 | ! |
---|
565 | !-- Iteration to find Obukhov length |
---|
566 | iter = 0 |
---|
567 | DO |
---|
568 | iter = iter + 1 |
---|
569 | ! |
---|
570 | !-- In case of divergence, use the value of the previous time step |
---|
571 | IF ( iter > 1000 ) THEN |
---|
572 | ol(j,i) = ol_old |
---|
573 | EXIT |
---|
574 | ENDIF |
---|
575 | |
---|
576 | ol_m = ol(j,i) |
---|
577 | ol_l = ol_m - 0.001_wp * ol_m |
---|
578 | ol_u = ol_m + 0.001_wp * ol_m |
---|
579 | |
---|
580 | |
---|
581 | IF ( ibc_pt_b /= 1 ) THEN |
---|
582 | ! |
---|
583 | !-- Calculate f = Ri - [...]/[...]^2 = 0 |
---|
584 | f = rib(j,i) - ( z_mo / ol_m ) * ( LOG( z_mo / z0h(j,i) )& |
---|
585 | - psi_h( z_mo / ol_m ) & |
---|
586 | + psi_h( z0h(j,i) / ol_m ) & |
---|
587 | ) & |
---|
588 | / ( LOG( z_mo / z0(j,i) ) & |
---|
589 | - psi_m( z_mo / ol_m ) & |
---|
590 | + psi_m( z0(j,i) / ol_m ) & |
---|
591 | )**2 |
---|
592 | |
---|
593 | ! |
---|
594 | !-- Calculate df/dL |
---|
595 | f_d_ol = ( - ( z_mo / ol_u ) * ( LOG( z_mo / z0h(j,i) ) & |
---|
596 | - psi_h( z_mo / ol_u ) & |
---|
597 | + psi_h( z0h(j,i) / ol_u ) & |
---|
598 | ) & |
---|
599 | / ( LOG( z_mo / z0(j,i) ) & |
---|
600 | - psi_m( z_mo / ol_u ) & |
---|
601 | + psi_m( z0(j,i) / ol_u ) & |
---|
602 | )**2 & |
---|
603 | + ( z_mo / ol_l ) * ( LOG( z_mo / z0h(j,i) ) & |
---|
604 | - psi_h( z_mo / ol_l ) & |
---|
605 | + psi_h( z0h(j,i) / ol_l ) & |
---|
606 | ) & |
---|
607 | / ( LOG( z_mo / z0(j,i) ) & |
---|
608 | - psi_m( z_mo / ol_l ) & |
---|
609 | + psi_m( z0(j,i) / ol_l ) & |
---|
610 | )**2 & |
---|
611 | ) / ( ol_u - ol_l ) |
---|
612 | ELSE |
---|
613 | ! |
---|
614 | !-- Calculate f = Ri - 1 /[...]^3 = 0 |
---|
615 | f = rib(j,i) - ( z_mo / ol_m ) / ( LOG( z_mo / z0(j,i) )& |
---|
616 | - psi_m( z_mo / ol_m ) & |
---|
617 | + psi_m( z0(j,i) / ol_m ) & |
---|
618 | )**3 |
---|
619 | |
---|
620 | ! |
---|
621 | !-- Calculate df/dL |
---|
622 | f_d_ol = ( - ( z_mo / ol_u ) / ( LOG( z_mo / z0(j,i) ) & |
---|
623 | - psi_m( z_mo / ol_u ) & |
---|
624 | + psi_m( z0(j,i) / ol_u ) & |
---|
625 | )**3 & |
---|
626 | + ( z_mo / ol_l ) / ( LOG( z_mo / z0(j,i) ) & |
---|
627 | - psi_m( z_mo / ol_l ) & |
---|
628 | + psi_m( z0(j,i) / ol_l ) & |
---|
629 | )**3 & |
---|
630 | ) / ( ol_u - ol_l ) |
---|
631 | ENDIF |
---|
632 | ! |
---|
633 | !-- Calculate new L |
---|
634 | ol(j,i) = ol_m - f / f_d_ol |
---|
635 | |
---|
636 | ! |
---|
637 | !-- Ensure that the bulk Richardson number and the Obukhov |
---|
638 | !-- length have the same sign and ensure convergence. |
---|
639 | IF ( ol(j,i) * ol_m < 0.0_wp ) ol(j,i) = ol_m * 0.5_wp |
---|
640 | |
---|
641 | ! |
---|
642 | !-- If unrealistic value occurs, set L to the maximum |
---|
643 | !-- value that is allowed |
---|
644 | IF ( ABS( ol(j,i) ) > ol_max ) THEN |
---|
645 | ol(j,i) = ol_max |
---|
646 | EXIT |
---|
647 | ENDIF |
---|
648 | ! |
---|
649 | !-- Check for convergence |
---|
650 | IF ( ABS( ( ol(j,i) - ol_m ) / ol(j,i) ) < 1.0E-4_wp ) THEN |
---|
651 | EXIT |
---|
652 | ELSE |
---|
653 | CYCLE |
---|
654 | ENDIF |
---|
655 | |
---|
656 | ENDDO |
---|
657 | |
---|
658 | ENDDO |
---|
659 | ENDDO |
---|
660 | |
---|
661 | ELSEIF ( TRIM( most_method ) == 'lookup' ) THEN |
---|
662 | |
---|
663 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
664 | !# WARNING: does not work on GPU so far because of DO WHILE construct |
---|
665 | !!!!!!$acc kernels loop |
---|
666 | DO i = nxl, nxr |
---|
667 | DO j = nys, nyn |
---|
668 | |
---|
669 | ! |
---|
670 | !-- If the bulk Richardson number is outside the range of the lookup |
---|
671 | !-- table, set it to the exceeding threshold value |
---|
672 | IF ( rib(j,i) < rib_min ) rib(j,i) = rib_min |
---|
673 | IF ( rib(j,i) > rib_max ) rib(j,i) = rib_max |
---|
674 | |
---|
675 | ! |
---|
676 | !-- Find the correct index bounds for linear interpolation. As the |
---|
677 | !-- Richardson number will not differ very much from time step to |
---|
678 | !-- time step , use the index from the last step and search in the |
---|
679 | !-- correct direction |
---|
680 | l = l_bnd |
---|
681 | IF ( rib_tab(l) - rib(j,i) > 0.0_wp ) THEN |
---|
682 | DO WHILE ( rib_tab(l-1) - rib(j,i) > 0.0_wp .AND. l > 0 ) |
---|
683 | l = l-1 |
---|
684 | ENDDO |
---|
685 | ELSE |
---|
686 | DO WHILE ( rib_tab(l) - rib(j,i) < 0.0_wp & |
---|
687 | .AND. l < num_steps-1 ) |
---|
688 | l = l+1 |
---|
689 | ENDDO |
---|
690 | ENDIF |
---|
691 | l_bnd = l |
---|
692 | |
---|
693 | ! |
---|
694 | !-- Linear interpolation to find the correct value of z/L |
---|
695 | ol(j,i) = ( ol_tab(l-1) + ( ol_tab(l) - ol_tab(l-1) ) & |
---|
696 | / ( rib_tab(l) - rib_tab(l-1) ) & |
---|
697 | * ( rib(j,i) - rib_tab(l-1) ) ) |
---|
698 | |
---|
699 | ENDDO |
---|
700 | ENDDO |
---|
701 | |
---|
702 | ELSEIF ( TRIM( most_method ) == 'circular' ) THEN |
---|
703 | |
---|
704 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
705 | !$acc kernels loop present( nzb_s_inner, ol, pt, pt1, q, ql, qs, qv1, ts, us, vpt, zu, zw ) private( j, k, z_mo ) |
---|
706 | DO i = nxl, nxr |
---|
707 | DO j = nys, nyn |
---|
708 | |
---|
709 | k = nzb_s_inner(j,i) |
---|
710 | z_mo = zu(k+1) - zw(k) |
---|
711 | |
---|
712 | IF ( .NOT. humidity ) THEN |
---|
713 | ol(j,i) = ( pt(k+1,j,i) * us(j,i)**2 ) / ( kappa * g & |
---|
714 | * ts(j,i) + 1E-30_wp ) |
---|
715 | ELSEIF ( cloud_physics ) THEN |
---|
716 | |
---|
717 | ol(j,i) = ( vpt(k+1,j,i) * us(j,i)**2 ) / ( kappa * g & |
---|
718 | * ( ts(j,i) + 0.61_wp * pt1(j,i) * qs(j,i) & |
---|
719 | + 0.61_wp * qv1(j,i) * ts(j,i) - ts(j,i) & |
---|
720 | * ql(k+1,j,i) ) + 1E-30_wp ) |
---|
721 | ELSE |
---|
722 | ol(j,i) = ( vpt(k+1,j,i) * us(j,i)**2 ) / ( kappa * g & |
---|
723 | * ( ts(j,i) + 0.61_wp * pt(k+1,j,i) * qs(j,i) & |
---|
724 | + 0.61_wp * q(k+1,j,i) * ts(j,i) ) + 1E-30_wp ) |
---|
725 | ENDIF |
---|
726 | ! |
---|
727 | !-- Limit the value range of the Obukhov length. |
---|
728 | !-- This is necessary for very small velocities (u,v --> 0), because |
---|
729 | !-- the absolute value of ol can then become very small, which in |
---|
730 | !-- consequence would result in very large shear stresses and very |
---|
731 | !-- small momentum fluxes (both are generally unrealistic). |
---|
732 | IF ( ( z_mo / ( ol(j,i) + 1E-30_wp ) ) < zeta_min ) & |
---|
733 | ol(j,i) = z_mo / zeta_min |
---|
734 | IF ( ( z_mo / ( ol(j,i) + 1E-30_wp ) ) > zeta_max ) & |
---|
735 | ol(j,i) = z_mo / zeta_max |
---|
736 | ENDDO |
---|
737 | ENDDO |
---|
738 | |
---|
739 | ENDIF |
---|
740 | |
---|
741 | ! |
---|
742 | !-- Values of ol at ghost point locations are needed for the evaluation |
---|
743 | !-- of usws and vsws. |
---|
744 | !$acc update host( ol ) |
---|
745 | CALL exchange_horiz_2d( ol ) |
---|
746 | !$acc update device( ol ) |
---|
747 | |
---|
748 | END SUBROUTINE calc_ol |
---|
749 | |
---|
750 | ! |
---|
751 | !-- Calculate friction velocity u* |
---|
752 | SUBROUTINE calc_us |
---|
753 | |
---|
754 | IMPLICIT NONE |
---|
755 | |
---|
756 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
757 | !$acc kernels loop present( nzb_s_inner, ol, us, uv_total, zu, zw, z0 ) private( j, k, z_mo ) |
---|
758 | DO i = nxlg, nxrg |
---|
759 | DO j = nysg, nyng |
---|
760 | |
---|
761 | k = nzb_s_inner(j,i)+1 |
---|
762 | z_mo = zu(k+1) - zw(k) |
---|
763 | |
---|
764 | ! |
---|
765 | !-- Compute u* at the scalars' grid points |
---|
766 | us(j,i) = kappa * uv_total(j,i) / ( LOG( z_mo / z0(j,i) ) & |
---|
767 | - psi_m( z_mo / ol(j,i) ) & |
---|
768 | + psi_m( z0(j,i) / ol(j,i) ) ) |
---|
769 | ENDDO |
---|
770 | ENDDO |
---|
771 | |
---|
772 | END SUBROUTINE calc_us |
---|
773 | |
---|
774 | ! |
---|
775 | !-- Calculate potential temperature and specific humidity at first grid level |
---|
776 | SUBROUTINE calc_pt_q |
---|
777 | |
---|
778 | IMPLICIT NONE |
---|
779 | |
---|
780 | !$acc kernels loop present( nzb_s_inner, pt, pt1, pt_d_t, q, ql, qv1 ) private( j, k ) |
---|
781 | DO i = nxlg, nxrg |
---|
782 | DO j = nysg, nyng |
---|
783 | k = nzb_s_inner(j,i)+1 |
---|
784 | pt1(j,i) = pt(k,j,i) + l_d_cp * pt_d_t(k) * ql(k,j,i) |
---|
785 | qv1(j,i) = q(k,j,i) - ql(k,j,i) |
---|
786 | ENDDO |
---|
787 | ENDDO |
---|
788 | |
---|
789 | END SUBROUTINE calc_pt_q |
---|
790 | |
---|
791 | ! |
---|
792 | !-- Calculate the other MOST scaling parameters theta*, q*, (qr*, nr*) |
---|
793 | SUBROUTINE calc_scaling_parameters |
---|
794 | |
---|
795 | IMPLICIT NONE |
---|
796 | |
---|
797 | ! |
---|
798 | !-- Data information for accelerators |
---|
799 | !$acc data present( e, nrsws, nzb_u_inner, nzb_v_inner, nzb_s_inner, pt ) & |
---|
800 | !$acc present( q, qs, qsws, qrsws, shf, ts, u, us, usws, v ) & |
---|
801 | !$acc present( vpt, vsws, zu, zw, z0, z0h ) |
---|
802 | ! |
---|
803 | !-- Compute theta* |
---|
804 | IF ( constant_heatflux ) THEN |
---|
805 | |
---|
806 | ! |
---|
807 | !-- For a given heat flux in the surface layer: |
---|
808 | !$OMP PARALLEL DO |
---|
809 | !$acc kernels loop private( j ) |
---|
810 | DO i = nxlg, nxrg |
---|
811 | DO j = nysg, nyng |
---|
812 | ts(j,i) = -shf(j,i) / ( us(j,i) + 1E-30_wp ) |
---|
813 | ! |
---|
814 | !-- ts must be limited, because otherwise overflow may occur in case |
---|
815 | !-- of us=0 when computing ol further below |
---|
816 | IF ( ts(j,i) < -1.05E5_wp ) ts(j,i) = -1.0E5_wp |
---|
817 | IF ( ts(j,i) > 1.0E5_wp ) ts(j,i) = 1.0E5_wp |
---|
818 | ENDDO |
---|
819 | ENDDO |
---|
820 | |
---|
821 | ELSE |
---|
822 | ! |
---|
823 | !-- For a given surface temperature: |
---|
824 | IF ( large_scale_forcing .AND. lsf_surf ) THEN |
---|
825 | !$OMP PARALLEL DO |
---|
826 | !$acc kernels loop private( j, k ) |
---|
827 | DO i = nxlg, nxrg |
---|
828 | DO j = nysg, nyng |
---|
829 | k = nzb_s_inner(j,i) |
---|
830 | pt(k,j,i) = pt_surface |
---|
831 | ENDDO |
---|
832 | ENDDO |
---|
833 | ENDIF |
---|
834 | |
---|
835 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
836 | !$acc kernels loop present( nzb_s_inner, ol, pt, pt1, ts, zu, zw, z0h ) private( j, k, z_mo ) |
---|
837 | DO i = nxlg, nxrg |
---|
838 | DO j = nysg, nyng |
---|
839 | |
---|
840 | k = nzb_s_inner(j,i) |
---|
841 | z_mo = zu(k+1) - zw(k) |
---|
842 | |
---|
843 | IF ( cloud_physics ) THEN |
---|
844 | ts(j,i) = kappa * ( pt1(j,i) - pt(k,j,i) ) & |
---|
845 | / ( LOG( z_mo / z0h(j,i) ) & |
---|
846 | - psi_h( z_mo / ol(j,i) ) & |
---|
847 | + psi_h( z0h(j,i) / ol(j,i) ) ) |
---|
848 | ELSE |
---|
849 | ts(j,i) = kappa * ( pt(k+1,j,i) - pt(k,j,i) ) & |
---|
850 | / ( LOG( z_mo / z0h(j,i) ) & |
---|
851 | - psi_h( z_mo / ol(j,i) ) & |
---|
852 | + psi_h( z0h(j,i) / ol(j,i) ) ) |
---|
853 | ENDIF |
---|
854 | |
---|
855 | ENDDO |
---|
856 | ENDDO |
---|
857 | ENDIF |
---|
858 | |
---|
859 | ! |
---|
860 | !-- If required compute q* |
---|
861 | IF ( humidity .OR. passive_scalar ) THEN |
---|
862 | IF ( constant_waterflux ) THEN |
---|
863 | ! |
---|
864 | !-- For a given water flux in the surface layer |
---|
865 | !$OMP PARALLEL DO |
---|
866 | !$acc kernels loop private( j ) |
---|
867 | DO i = nxlg, nxrg |
---|
868 | DO j = nysg, nyng |
---|
869 | qs(j,i) = -qsws(j,i) / ( us(j,i) + 1E-30_wp ) |
---|
870 | ENDDO |
---|
871 | ENDDO |
---|
872 | |
---|
873 | ELSE |
---|
874 | coupled_run = ( coupling_mode == 'atmosphere_to_ocean' .AND. & |
---|
875 | run_coupled ) |
---|
876 | |
---|
877 | IF ( large_scale_forcing .AND. lsf_surf ) THEN |
---|
878 | !$OMP PARALLEL DO |
---|
879 | !$acc kernels loop private( j, k ) |
---|
880 | DO i = nxlg, nxrg |
---|
881 | DO j = nysg, nyng |
---|
882 | k = nzb_s_inner(j,i) |
---|
883 | q(k,j,i) = q_surface |
---|
884 | ENDDO |
---|
885 | ENDDO |
---|
886 | ENDIF |
---|
887 | |
---|
888 | !$OMP PARALLEL DO PRIVATE( e_s, k, z_mo ) |
---|
889 | !$acc kernels loop independent present( nzb_s_inner, ol, pt, q, qs, qv1, zu, zw, z0q ) private( e_s, j, k, z_mo ) |
---|
890 | DO i = nxlg, nxrg |
---|
891 | !$acc loop independent |
---|
892 | DO j = nysg, nyng |
---|
893 | |
---|
894 | k = nzb_s_inner(j,i) |
---|
895 | z_mo = zu(k+1) - zw(k) |
---|
896 | |
---|
897 | ! |
---|
898 | !-- Assume saturation for atmosphere coupled to ocean (but not |
---|
899 | !-- in case of precursor runs) |
---|
900 | IF ( coupled_run ) THEN |
---|
901 | e_s = 6.1_wp * & |
---|
902 | EXP( 0.07_wp * ( MIN(pt(k,j,i),pt(k+1,j,i)) & |
---|
903 | - 273.15_wp ) ) |
---|
904 | q(k,j,i) = 0.622_wp * e_s / ( surface_pressure - e_s ) |
---|
905 | ENDIF |
---|
906 | |
---|
907 | IF ( cloud_physics ) THEN |
---|
908 | qs(j,i) = kappa * ( qv1(j,i) - q(k,j,i) ) & |
---|
909 | / ( LOG( z_mo / z0q(j,i) ) & |
---|
910 | - psi_h( z_mo / ol(j,i) ) & |
---|
911 | + psi_h( z0q(j,i) / ol(j,i) ) ) |
---|
912 | |
---|
913 | ELSE |
---|
914 | qs(j,i) = kappa * ( q(k+1,j,i) - q(k,j,i) ) & |
---|
915 | / ( LOG( z_mo / z0q(j,i) ) & |
---|
916 | - psi_h( z_mo / ol(j,i) ) & |
---|
917 | + psi_h( z0q(j,i) / ol(j,i) ) ) |
---|
918 | ENDIF |
---|
919 | |
---|
920 | ENDDO |
---|
921 | ENDDO |
---|
922 | ENDIF |
---|
923 | ENDIF |
---|
924 | |
---|
925 | |
---|
926 | ! |
---|
927 | !-- If required compute qr* and nr* |
---|
928 | IF ( cloud_physics .AND. microphysics_seifert ) & |
---|
929 | THEN |
---|
930 | |
---|
931 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
932 | !$acc kernels loop independent present( nr, nrs, nzb_s_inner, ol, qr, qrs, zu, zw, z0q ) private( j, k, z_mo ) |
---|
933 | DO i = nxlg, nxrg |
---|
934 | !$acc loop independent |
---|
935 | DO j = nysg, nyng |
---|
936 | |
---|
937 | k = nzb_s_inner(j,i) |
---|
938 | z_mo = zu(k+1) - zw(k) |
---|
939 | |
---|
940 | qrs(j,i) = kappa * ( qr(k+1,j,i) - qr(k,j,i) ) & |
---|
941 | / ( LOG( z_mo / z0q(j,i) ) & |
---|
942 | - psi_h( z_mo / ol(j,i) ) & |
---|
943 | + psi_h( z0q(j,i) / ol(j,i) ) ) |
---|
944 | |
---|
945 | nrs(j,i) = kappa * ( nr(k+1,j,i) - nr(k,j,i) ) & |
---|
946 | / ( LOG( z_mo / z0q(j,i) ) & |
---|
947 | - psi_h( z_mo / ol(j,i) ) & |
---|
948 | + psi_h( z0q(j,i) / ol(j,i) ) ) |
---|
949 | ENDDO |
---|
950 | ENDDO |
---|
951 | |
---|
952 | ENDIF |
---|
953 | !$acc end data |
---|
954 | |
---|
955 | END SUBROUTINE calc_scaling_parameters |
---|
956 | |
---|
957 | |
---|
958 | |
---|
959 | ! |
---|
960 | !-- Calculate surface fluxes usws, vsws, shf, qsws, (qrsws, nrsws) |
---|
961 | SUBROUTINE calc_surface_fluxes |
---|
962 | |
---|
963 | IMPLICIT NONE |
---|
964 | |
---|
965 | REAL(wp) :: ol_mid !< Grid-interpolated L |
---|
966 | |
---|
967 | ! |
---|
968 | !-- Compute u'w' for the total model domain. |
---|
969 | !-- First compute the corresponding component of u* and square it. |
---|
970 | !$OMP PARALLEL DO PRIVATE( k, ol_mid, z_mo ) |
---|
971 | !$acc kernels loop present( nzb_u_inner, ol, u, us, usws, zu, zw, z0 ) private( j, k, z_mo ) |
---|
972 | DO i = nxl, nxr |
---|
973 | DO j = nys, nyn |
---|
974 | |
---|
975 | k = nzb_u_inner(j,i) |
---|
976 | z_mo = zu(k+1) - zw(k) |
---|
977 | ! |
---|
978 | !-- Compute bulk Obukhov length for this point |
---|
979 | ol_mid = 0.5_wp * ( ol(j,i-1) + ol(j,i) ) |
---|
980 | |
---|
981 | IF ( ol_mid == 0.0_wp ) THEN |
---|
982 | ol_mid = MIN(ol(j,i-1), ol(j,i)) |
---|
983 | ENDIF |
---|
984 | |
---|
985 | usws(j,i) = kappa * ( u(k+1,j,i) - u(k,j,i) ) & |
---|
986 | / ( LOG( z_mo / z0(j,i) ) & |
---|
987 | - psi_m( z_mo / ol_mid ) & |
---|
988 | + psi_m( z0(j,i) / ol_mid ) ) |
---|
989 | |
---|
990 | usws(j,i) = -usws(j,i) * 0.5_wp * ( us(j,i-1) + us(j,i) ) |
---|
991 | ENDDO |
---|
992 | ENDDO |
---|
993 | |
---|
994 | ! |
---|
995 | !-- Compute v'w' for the total model domain. |
---|
996 | !-- First compute the corresponding component of u* and square it. |
---|
997 | !$OMP PARALLEL DO PRIVATE( k, ol_mid, z_mo ) |
---|
998 | !$acc kernels loop present( nzb_v_inner, ol, v, us, vsws, zu, zw, z0 ) private( j, k, ol_mid, z_mo ) |
---|
999 | DO i = nxl, nxr |
---|
1000 | DO j = nys, nyn |
---|
1001 | |
---|
1002 | k = nzb_v_inner(j,i) |
---|
1003 | z_mo = zu(k+1) - zw(k) |
---|
1004 | ! |
---|
1005 | !-- Compute bulk Obukhov length for this point |
---|
1006 | ol_mid = 0.5_wp * ( ol(j-1,i) + ol(j,i) ) |
---|
1007 | |
---|
1008 | IF ( ol_mid == 0.0_wp ) THEN |
---|
1009 | ol_mid = MIN(ol(j-1,i), ol(j-1,i)) |
---|
1010 | ENDIF |
---|
1011 | |
---|
1012 | vsws(j,i) = kappa * ( v(k+1,j,i) - v(k,j,i) ) & |
---|
1013 | / ( LOG( z_mo / z0(j,i) ) & |
---|
1014 | - psi_m( z_mo / ol_mid ) & |
---|
1015 | + psi_m( z0(j,i) / ol_mid ) ) |
---|
1016 | |
---|
1017 | vsws(j,i) = -vsws(j,i) * 0.5_wp * ( us(j,i-1) + us(j,i) ) |
---|
1018 | |
---|
1019 | ENDDO |
---|
1020 | ENDDO |
---|
1021 | |
---|
1022 | ! |
---|
1023 | !-- Exchange the boundaries for the momentum fluxes (is this still required?) |
---|
1024 | !$acc update host( usws, vsws ) |
---|
1025 | CALL exchange_horiz_2d( usws ) |
---|
1026 | CALL exchange_horiz_2d( vsws ) |
---|
1027 | !$acc update device( usws, vsws ) |
---|
1028 | |
---|
1029 | ! |
---|
1030 | !-- Compute the vertical kinematic heat flux |
---|
1031 | IF ( .NOT. constant_heatflux .AND. ( simulated_time <= & |
---|
1032 | skip_time_do_lsm .OR. .NOT. land_surface ) ) THEN |
---|
1033 | !$OMP PARALLEL DO |
---|
1034 | !$acc kernels loop independent present( shf, ts, us ) |
---|
1035 | DO i = nxlg, nxrg |
---|
1036 | !$acc loop independent |
---|
1037 | DO j = nysg, nyng |
---|
1038 | shf(j,i) = -ts(j,i) * us(j,i) |
---|
1039 | ENDDO |
---|
1040 | ENDDO |
---|
1041 | |
---|
1042 | ENDIF |
---|
1043 | |
---|
1044 | ! |
---|
1045 | !-- Compute the vertical water/scalar flux |
---|
1046 | IF ( .NOT. constant_waterflux .AND. ( humidity .OR. & |
---|
1047 | passive_scalar ) .AND. ( simulated_time <= skip_time_do_lsm & |
---|
1048 | .OR. .NOT. land_surface ) ) THEN |
---|
1049 | !$OMP PARALLEL DO |
---|
1050 | !$acc kernels loop independent present( qs, qsws, us ) |
---|
1051 | DO i = nxlg, nxrg |
---|
1052 | !$acc loop independent |
---|
1053 | DO j = nysg, nyng |
---|
1054 | qsws(j,i) = -qs(j,i) * us(j,i) |
---|
1055 | ENDDO |
---|
1056 | ENDDO |
---|
1057 | |
---|
1058 | ENDIF |
---|
1059 | |
---|
1060 | ! |
---|
1061 | !-- Compute (turbulent) fluxes of rain water content and rain drop conc. |
---|
1062 | IF ( cloud_physics .AND. microphysics_seifert ) THEN |
---|
1063 | !$OMP PARALLEL DO |
---|
1064 | !$acc kernels loop independent present( nrs, nrsws, qrs, qrsws, us ) |
---|
1065 | DO i = nxlg, nxrg |
---|
1066 | !$acc loop independent |
---|
1067 | DO j = nysg, nyng |
---|
1068 | qrsws(j,i) = -qrs(j,i) * us(j,i) |
---|
1069 | nrsws(j,i) = -nrs(j,i) * us(j,i) |
---|
1070 | ENDDO |
---|
1071 | ENDDO |
---|
1072 | ENDIF |
---|
1073 | |
---|
1074 | ! |
---|
1075 | !-- Bottom boundary condition for the TKE |
---|
1076 | IF ( ibc_e_b == 2 ) THEN |
---|
1077 | !$OMP PARALLEL DO |
---|
1078 | !$acc kernels loop independent present( e, nzb_s_inner, us ) |
---|
1079 | DO i = nxlg, nxrg |
---|
1080 | !$acc loop independent |
---|
1081 | DO j = nysg, nyng |
---|
1082 | k = nzb_s_inner(j,i) |
---|
1083 | e(k+1,j,i) = ( us(j,i) / 0.1_wp )**2 |
---|
1084 | ! |
---|
1085 | !-- As a test: cm = 0.4 |
---|
1086 | ! e(k+1,j,i) = ( us(j,i) / 0.4_wp )**2 |
---|
1087 | e(k,j,i) = e(k+1,j,i) |
---|
1088 | ENDDO |
---|
1089 | ENDDO |
---|
1090 | ENDIF |
---|
1091 | |
---|
1092 | END SUBROUTINE calc_surface_fluxes |
---|
1093 | |
---|
1094 | |
---|
1095 | ! |
---|
1096 | !-- Integrated stability function for momentum |
---|
1097 | FUNCTION psi_m( zeta ) |
---|
1098 | |
---|
1099 | USE kinds |
---|
1100 | |
---|
1101 | IMPLICIT NONE |
---|
1102 | |
---|
1103 | REAL(wp) :: psi_m !< Integrated similarity function result |
---|
1104 | REAL(wp) :: zeta !< Stability parameter z/L |
---|
1105 | REAL(wp) :: x !< dummy variable |
---|
1106 | |
---|
1107 | REAL(wp), PARAMETER :: a = 1.0_wp !< constant |
---|
1108 | REAL(wp), PARAMETER :: b = 0.66666666666_wp !< constant |
---|
1109 | REAL(wp), PARAMETER :: c = 5.0_wp !< constant |
---|
1110 | REAL(wp), PARAMETER :: d = 0.35_wp !< constant |
---|
1111 | REAL(wp), PARAMETER :: c_d_d = c / d !< constant |
---|
1112 | REAL(wp), PARAMETER :: bc_d_d = b * c / d !< constant |
---|
1113 | |
---|
1114 | |
---|
1115 | IF ( zeta < 0.0_wp ) THEN |
---|
1116 | x = SQRT( SQRT( 1.0_wp - 16.0_wp * zeta ) ) |
---|
1117 | psi_m = pi * 0.5_wp - 2.0_wp * ATAN( x ) + LOG( ( 1.0_wp + x )**2 & |
---|
1118 | * ( 1.0_wp + x**2 ) * 0.125_wp ) |
---|
1119 | ELSE |
---|
1120 | |
---|
1121 | psi_m = - b * ( zeta - c_d_d ) * EXP( -d * zeta ) - a * zeta & |
---|
1122 | - bc_d_d |
---|
1123 | ! |
---|
1124 | !-- Old version for stable conditions (only valid for z/L < 0.5) |
---|
1125 | !-- psi_m = - 5.0_wp * zeta |
---|
1126 | |
---|
1127 | ENDIF |
---|
1128 | |
---|
1129 | END FUNCTION psi_m |
---|
1130 | |
---|
1131 | |
---|
1132 | ! |
---|
1133 | !-- Integrated stability function for heat and moisture |
---|
1134 | FUNCTION psi_h( zeta ) |
---|
1135 | |
---|
1136 | USE kinds |
---|
1137 | |
---|
1138 | IMPLICIT NONE |
---|
1139 | |
---|
1140 | REAL(wp) :: psi_h !< Integrated similarity function result |
---|
1141 | REAL(wp) :: zeta !< Stability parameter z/L |
---|
1142 | REAL(wp) :: x !< dummy variable |
---|
1143 | |
---|
1144 | REAL(wp), PARAMETER :: a = 1.0_wp !< constant |
---|
1145 | REAL(wp), PARAMETER :: b = 0.66666666666_wp !< constant |
---|
1146 | REAL(wp), PARAMETER :: c = 5.0_wp !< constant |
---|
1147 | REAL(wp), PARAMETER :: d = 0.35_wp !< constant |
---|
1148 | REAL(wp), PARAMETER :: c_d_d = c / d !< constant |
---|
1149 | REAL(wp), PARAMETER :: bc_d_d = b * c / d !< constant |
---|
1150 | |
---|
1151 | |
---|
1152 | IF ( zeta < 0.0_wp ) THEN |
---|
1153 | x = SQRT( 1.0_wp - 16.0_wp * zeta ) |
---|
1154 | psi_h = 2.0_wp * LOG( (1.0_wp + x ) / 2.0_wp ) |
---|
1155 | ELSE |
---|
1156 | psi_h = - b * ( zeta - c_d_d ) * EXP( -d * zeta ) - (1.0_wp & |
---|
1157 | + 0.66666666666_wp * a * zeta )**1.5_wp - bc_d_d & |
---|
1158 | + 1.0_wp |
---|
1159 | ! |
---|
1160 | !-- Old version for stable conditions (only valid for z/L < 0.5) |
---|
1161 | !-- psi_h = - 5.0_wp * zeta |
---|
1162 | ENDIF |
---|
1163 | |
---|
1164 | END FUNCTION psi_h |
---|
1165 | |
---|
1166 | END MODULE surface_layer_fluxes_mod |
---|