1 | MODULE production_e_mod |
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2 | |
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3 | !--------------------------------------------------------------------------------! |
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4 | ! This file is part of PALM. |
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5 | ! |
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6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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8 | ! either version 3 of the License, or (at your option) any later version. |
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9 | ! |
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10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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13 | ! |
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14 | ! You should have received a copy of the GNU General Public License along with |
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15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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16 | ! |
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17 | ! Copyright 1997-2012 Leibniz University Hannover |
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18 | !--------------------------------------------------------------------------------! |
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19 | ! |
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20 | ! Current revisions: |
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21 | ! ----------------- |
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22 | ! |
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23 | ! |
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24 | ! Former revisions: |
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25 | ! ----------------- |
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26 | ! $Id: production_e.f90 1258 2013-11-08 16:09:09Z witha $ |
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27 | ! |
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28 | ! 1257 2013-11-08 15:18:40Z raasch |
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29 | ! openacc loop and loop vector clauses removed, declare create moved after |
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30 | ! the FORTRAN declaration statement |
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31 | ! |
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32 | ! 1179 2013-06-14 05:57:58Z raasch |
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33 | ! use_reference renamed use_single_reference_value |
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34 | ! |
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35 | ! 1128 2013-04-12 06:19:32Z raasch |
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36 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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37 | ! j_north |
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38 | ! |
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39 | ! 1036 2012-10-22 13:43:42Z raasch |
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40 | ! code put under GPL (PALM 3.9) |
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41 | ! |
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42 | ! 1015 2012-09-27 09:23:24Z raasch |
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43 | ! accelerator version (*_acc) added |
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44 | ! |
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45 | ! 1007 2012-09-19 14:30:36Z franke |
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46 | ! Bugfix: calculation of buoyancy production has to consider the liquid water |
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47 | ! mixing ratio in case of cloud droplets |
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48 | ! |
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49 | ! 940 2012-07-09 14:31:00Z raasch |
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50 | ! TKE production by buoyancy can be switched off in case of runs with pure |
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51 | ! neutral stratification |
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52 | ! |
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53 | ! 759 2011-09-15 13:58:31Z raasch |
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54 | ! initialization of u_0, v_0 |
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55 | ! |
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56 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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57 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
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58 | ! |
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59 | ! 449 2010-02-02 11:23:59Z raasch |
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60 | ! test output from rev 410 removed |
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61 | ! |
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62 | ! 388 2009-09-23 09:40:33Z raasch |
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63 | ! Bugfix: wrong sign in buoyancy production of ocean part in case of not using |
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64 | ! the reference density (only in 3D routine production_e) |
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65 | ! Bugfix to avoid zero division by km_neutral |
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66 | ! |
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67 | ! 208 2008-10-20 06:02:59Z raasch |
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68 | ! Bugfix concerning the calculation of velocity gradients at vertical walls |
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69 | ! in case of diabatic conditions |
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70 | ! |
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71 | ! 187 2008-08-06 16:25:09Z letzel |
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72 | ! Change: add 'minus' sign to fluxes obtained from subroutine wall_fluxes_e for |
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73 | ! consistency with subroutine wall_fluxes |
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74 | ! |
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75 | ! 124 2007-10-19 15:47:46Z raasch |
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76 | ! Bugfix: calculation of density flux in the ocean now starts from nzb+1 |
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77 | ! |
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78 | ! 108 2007-08-24 15:10:38Z letzel |
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79 | ! Bugfix: wrong sign removed from the buoyancy production term in the case |
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80 | ! use_reference = .T., |
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81 | ! u_0 and v_0 are calculated for nxr+1, nyn+1 also (otherwise these values are |
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82 | ! not available in case of non-cyclic boundary conditions) |
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83 | ! Bugfix for ocean density flux at bottom |
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84 | ! |
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85 | ! 97 2007-06-21 08:23:15Z raasch |
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86 | ! Energy production by density flux (in ocean) added |
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87 | ! use_pt_reference renamed use_reference |
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88 | ! |
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89 | ! 75 2007-03-22 09:54:05Z raasch |
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90 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes_e, |
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91 | ! reference temperature pt_reference can be used in buoyancy term, |
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92 | ! moisture renamed humidity |
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93 | ! |
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94 | ! 37 2007-03-01 08:33:54Z raasch |
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95 | ! Calculation extended for gridpoint nzt, extended for given temperature / |
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96 | ! humidity fluxes at the top, wall-part is now executed in case that a |
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97 | ! Prandtl-layer is switched on (instead of surfaces fluxes switched on) |
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98 | ! |
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99 | ! RCS Log replace by Id keyword, revision history cleaned up |
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100 | ! |
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101 | ! Revision 1.21 2006/04/26 12:45:35 raasch |
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102 | ! OpenMP parallelization of production_e_init |
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103 | ! |
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104 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
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105 | ! Initial revision |
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106 | ! |
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107 | ! |
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108 | ! Description: |
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109 | ! ------------ |
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110 | ! Production terms (shear + buoyancy) of the TKE |
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111 | ! WARNING: the case with prandtl_layer = F and use_surface_fluxes = T is |
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112 | ! not considered well! |
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113 | !------------------------------------------------------------------------------! |
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114 | |
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115 | USE wall_fluxes_mod |
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116 | |
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117 | PRIVATE |
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118 | PUBLIC production_e, production_e_acc, production_e_init |
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119 | |
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120 | LOGICAL, SAVE :: first_call = .TRUE. |
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121 | |
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122 | REAL, DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0, v_0 |
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123 | |
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124 | INTERFACE production_e |
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125 | MODULE PROCEDURE production_e |
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126 | MODULE PROCEDURE production_e_ij |
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127 | END INTERFACE production_e |
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128 | |
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129 | INTERFACE production_e_acc |
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130 | MODULE PROCEDURE production_e_acc |
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131 | END INTERFACE production_e_acc |
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132 | |
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133 | INTERFACE production_e_init |
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134 | MODULE PROCEDURE production_e_init |
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135 | END INTERFACE production_e_init |
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136 | |
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137 | CONTAINS |
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138 | |
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139 | |
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140 | !------------------------------------------------------------------------------! |
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141 | ! Call for all grid points |
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142 | !------------------------------------------------------------------------------! |
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143 | SUBROUTINE production_e |
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144 | |
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145 | USE arrays_3d |
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146 | USE cloud_parameters |
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147 | USE control_parameters |
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148 | USE grid_variables |
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149 | USE indices |
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150 | USE statistics |
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151 | |
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152 | IMPLICIT NONE |
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153 | |
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154 | INTEGER :: i, j, k |
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155 | |
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156 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
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157 | k1, k2, km_neutral, theta, temp |
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158 | |
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159 | ! REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs |
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160 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
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161 | |
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162 | ! |
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163 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
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164 | !-- vertical walls, if neccessary |
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165 | !-- So far, results are slightly different from the ij-Version. |
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166 | !-- Therefore, ij-Version is called further below within the ij-loops. |
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167 | ! IF ( topography /= 'flat' ) THEN |
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168 | ! CALL wall_fluxes_e( usvs, 1.0, 0.0, 0.0, 0.0, wall_e_y ) |
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169 | ! CALL wall_fluxes_e( wsvs, 0.0, 0.0, 1.0, 0.0, wall_e_y ) |
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170 | ! CALL wall_fluxes_e( vsus, 0.0, 1.0, 0.0, 0.0, wall_e_x ) |
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171 | ! CALL wall_fluxes_e( wsus, 0.0, 0.0, 0.0, 1.0, wall_e_x ) |
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172 | ! ENDIF |
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173 | |
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174 | |
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175 | DO i = nxl, nxr |
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176 | |
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177 | ! |
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178 | !-- Calculate TKE production by shear |
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179 | DO j = nys, nyn |
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180 | DO k = nzb_diff_s_outer(j,i), nzt |
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181 | |
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182 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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183 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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184 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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185 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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186 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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187 | |
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188 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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189 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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190 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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191 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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192 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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193 | |
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194 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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195 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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196 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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197 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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198 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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199 | |
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200 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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201 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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202 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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203 | |
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204 | IF ( def < 0.0 ) def = 0.0 |
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205 | |
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206 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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207 | |
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208 | ENDDO |
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209 | ENDDO |
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210 | |
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211 | IF ( prandtl_layer ) THEN |
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212 | |
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213 | ! |
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214 | !-- Position beneath wall |
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215 | !-- (2) - Will allways be executed. |
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216 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
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217 | DO j = nys, nyn |
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218 | |
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219 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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220 | THEN |
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221 | |
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222 | k = nzb_diff_s_inner(j,i) - 1 |
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223 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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224 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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225 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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226 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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227 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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228 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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229 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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230 | |
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231 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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232 | ! |
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233 | !-- Inconsistency removed: as the thermal stratification is |
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234 | !-- not taken into account for the evaluation of the wall |
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235 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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236 | !-- be used for the evaluation of the velocity gradients dudy |
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237 | !-- and dwdy |
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238 | !-- Note: The validity of the new method has not yet been |
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239 | !-- shown, as so far no suitable data for a validation |
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240 | !-- has been available |
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241 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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242 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
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243 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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244 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
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245 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25 * & |
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246 | 0.5 * dy |
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247 | IF ( km_neutral > 0.0 ) THEN |
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248 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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249 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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250 | ELSE |
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251 | dudy = 0.0 |
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252 | dwdy = 0.0 |
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253 | ENDIF |
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254 | ELSE |
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255 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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256 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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257 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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258 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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259 | ENDIF |
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260 | |
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261 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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262 | ! |
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263 | !-- Inconsistency removed: as the thermal stratification is |
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264 | !-- not taken into account for the evaluation of the wall |
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265 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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266 | !-- be used for the evaluation of the velocity gradients dvdx |
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267 | !-- and dwdx |
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268 | !-- Note: The validity of the new method has not yet been |
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269 | !-- shown, as so far no suitable data for a validation |
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270 | !-- has been available |
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271 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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272 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
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273 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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274 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
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275 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25 * & |
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276 | 0.5 * dx |
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277 | IF ( km_neutral > 0.0 ) THEN |
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278 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
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279 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
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280 | ELSE |
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281 | dvdx = 0.0 |
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282 | dwdx = 0.0 |
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283 | ENDIF |
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284 | ELSE |
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285 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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286 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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287 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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288 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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289 | ENDIF |
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290 | |
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291 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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292 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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293 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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294 | |
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295 | IF ( def < 0.0 ) def = 0.0 |
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296 | |
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297 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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298 | |
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299 | |
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300 | ! |
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301 | !-- (3) - will be executed only, if there is at least one level |
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302 | !-- between (2) and (4), i.e. the topography must have a |
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303 | !-- minimum height of 2 dz. Wall fluxes for this case have |
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304 | !-- already been calculated for (2). |
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305 | !-- 'wall only: use wall functions' |
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306 | |
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307 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
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308 | |
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309 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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310 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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311 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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312 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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313 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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314 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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315 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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316 | |
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317 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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318 | ! |
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319 | !-- Inconsistency removed: as the thermal stratification |
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320 | !-- is not taken into account for the evaluation of the |
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321 | !-- wall fluxes at vertical walls, the eddy viscosity km |
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322 | !-- must not be used for the evaluation of the velocity |
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323 | !-- gradients dudy and dwdy |
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324 | !-- Note: The validity of the new method has not yet |
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325 | !-- been shown, as so far no suitable data for a |
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326 | !-- validation has been available |
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327 | km_neutral = kappa * ( usvs(k)**2 + & |
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328 | wsvs(k)**2 )**0.25 * 0.5 * dy |
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329 | IF ( km_neutral > 0.0 ) THEN |
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330 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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331 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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332 | ELSE |
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333 | dudy = 0.0 |
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334 | dwdy = 0.0 |
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335 | ENDIF |
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336 | ELSE |
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337 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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338 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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339 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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340 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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341 | ENDIF |
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342 | |
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343 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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344 | ! |
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345 | !-- Inconsistency removed: as the thermal stratification |
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346 | !-- is not taken into account for the evaluation of the |
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347 | !-- wall fluxes at vertical walls, the eddy viscosity km |
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348 | !-- must not be used for the evaluation of the velocity |
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349 | !-- gradients dvdx and dwdx |
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350 | !-- Note: The validity of the new method has not yet |
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351 | !-- been shown, as so far no suitable data for a |
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352 | !-- validation has been available |
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353 | km_neutral = kappa * ( vsus(k)**2 + & |
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354 | wsus(k)**2 )**0.25 * 0.5 * dx |
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355 | IF ( km_neutral > 0.0 ) THEN |
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356 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
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357 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
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358 | ELSE |
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359 | dvdx = 0.0 |
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360 | dwdx = 0.0 |
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361 | ENDIF |
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362 | ELSE |
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363 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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364 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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365 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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366 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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367 | ENDIF |
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368 | |
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369 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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370 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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371 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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372 | |
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373 | IF ( def < 0.0 ) def = 0.0 |
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374 | |
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375 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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376 | |
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377 | ENDDO |
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378 | |
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379 | ENDIF |
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380 | |
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381 | ENDDO |
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382 | |
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383 | ! |
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384 | !-- (4) - will allways be executed. |
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385 | !-- 'special case: free atmosphere' (as for case (0)) |
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386 | DO j = nys, nyn |
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387 | |
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388 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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389 | THEN |
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390 | |
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391 | k = nzb_diff_s_outer(j,i)-1 |
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392 | |
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393 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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394 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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395 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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396 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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397 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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398 | |
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399 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
400 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
401 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
402 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
403 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
404 | |
---|
405 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
406 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
407 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
408 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
409 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
410 | |
---|
411 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
412 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
413 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
414 | |
---|
415 | IF ( def < 0.0 ) def = 0.0 |
---|
416 | |
---|
417 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
418 | |
---|
419 | ENDIF |
---|
420 | |
---|
421 | ENDDO |
---|
422 | |
---|
423 | ! |
---|
424 | !-- Position without adjacent wall |
---|
425 | !-- (1) - will allways be executed. |
---|
426 | !-- 'bottom only: use u_0,v_0' |
---|
427 | DO j = nys, nyn |
---|
428 | |
---|
429 | IF ( ( wall_e_x(j,i) == 0.0 ) .AND. ( wall_e_y(j,i) == 0.0 ) ) & |
---|
430 | THEN |
---|
431 | |
---|
432 | k = nzb_diff_s_inner(j,i)-1 |
---|
433 | |
---|
434 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
435 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
436 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
437 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
438 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
439 | |
---|
440 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
441 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
442 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
443 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
444 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
445 | |
---|
446 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
447 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
448 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
449 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
450 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
451 | |
---|
452 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
453 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
454 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
455 | |
---|
456 | IF ( def < 0.0 ) def = 0.0 |
---|
457 | |
---|
458 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
459 | |
---|
460 | ENDIF |
---|
461 | |
---|
462 | ENDDO |
---|
463 | |
---|
464 | ELSEIF ( use_surface_fluxes ) THEN |
---|
465 | |
---|
466 | DO j = nys, nyn |
---|
467 | |
---|
468 | k = nzb_diff_s_outer(j,i)-1 |
---|
469 | |
---|
470 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
471 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
472 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
473 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
474 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
475 | |
---|
476 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
477 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
478 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
479 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
480 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
481 | |
---|
482 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
483 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
484 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
485 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
486 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
487 | |
---|
488 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
489 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
490 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
491 | |
---|
492 | IF ( def < 0.0 ) def = 0.0 |
---|
493 | |
---|
494 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
495 | |
---|
496 | ENDDO |
---|
497 | |
---|
498 | ENDIF |
---|
499 | |
---|
500 | ! |
---|
501 | !-- If required, calculate TKE production by buoyancy |
---|
502 | IF ( .NOT. neutral ) THEN |
---|
503 | |
---|
504 | IF ( .NOT. humidity ) THEN |
---|
505 | |
---|
506 | IF ( use_single_reference_value ) THEN |
---|
507 | |
---|
508 | IF ( ocean ) THEN |
---|
509 | ! |
---|
510 | !-- So far in the ocean no special treatment of density flux |
---|
511 | !-- in the bottom and top surface layer |
---|
512 | DO j = nys, nyn |
---|
513 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
514 | tend(k,j,i) = tend(k,j,i) + & |
---|
515 | kh(k,j,i) * g / rho_reference * & |
---|
516 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
---|
517 | dd2zu(k) |
---|
518 | ENDDO |
---|
519 | ENDDO |
---|
520 | |
---|
521 | ELSE |
---|
522 | |
---|
523 | DO j = nys, nyn |
---|
524 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
525 | tend(k,j,i) = tend(k,j,i) - & |
---|
526 | kh(k,j,i) * g / pt_reference * & |
---|
527 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
528 | dd2zu(k) |
---|
529 | ENDDO |
---|
530 | |
---|
531 | IF ( use_surface_fluxes ) THEN |
---|
532 | k = nzb_diff_s_inner(j,i)-1 |
---|
533 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
534 | shf(j,i) |
---|
535 | ENDIF |
---|
536 | |
---|
537 | IF ( use_top_fluxes ) THEN |
---|
538 | k = nzt |
---|
539 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
540 | tswst(j,i) |
---|
541 | ENDIF |
---|
542 | ENDDO |
---|
543 | |
---|
544 | ENDIF |
---|
545 | |
---|
546 | ELSE |
---|
547 | |
---|
548 | IF ( ocean ) THEN |
---|
549 | ! |
---|
550 | !-- So far in the ocean no special treatment of density flux |
---|
551 | !-- in the bottom and top surface layer |
---|
552 | DO j = nys, nyn |
---|
553 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
554 | tend(k,j,i) = tend(k,j,i) + & |
---|
555 | kh(k,j,i) * g / rho(k,j,i) * & |
---|
556 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
---|
557 | dd2zu(k) |
---|
558 | ENDDO |
---|
559 | ENDDO |
---|
560 | |
---|
561 | ELSE |
---|
562 | |
---|
563 | DO j = nys, nyn |
---|
564 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
565 | tend(k,j,i) = tend(k,j,i) - & |
---|
566 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
567 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
568 | dd2zu(k) |
---|
569 | ENDDO |
---|
570 | |
---|
571 | IF ( use_surface_fluxes ) THEN |
---|
572 | k = nzb_diff_s_inner(j,i)-1 |
---|
573 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
574 | shf(j,i) |
---|
575 | ENDIF |
---|
576 | |
---|
577 | IF ( use_top_fluxes ) THEN |
---|
578 | k = nzt |
---|
579 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
580 | tswst(j,i) |
---|
581 | ENDIF |
---|
582 | ENDDO |
---|
583 | |
---|
584 | ENDIF |
---|
585 | |
---|
586 | ENDIF |
---|
587 | |
---|
588 | ELSE |
---|
589 | |
---|
590 | DO j = nys, nyn |
---|
591 | |
---|
592 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
593 | |
---|
594 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
595 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
596 | k2 = 0.61 * pt(k,j,i) |
---|
597 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
598 | g / vpt(k,j,i) * & |
---|
599 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
600 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
601 | ) * dd2zu(k) |
---|
602 | ELSE IF ( cloud_physics ) THEN |
---|
603 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
604 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
605 | k2 = 0.61 * pt(k,j,i) |
---|
606 | ELSE |
---|
607 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
608 | temp = theta * t_d_pt(k) |
---|
609 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
610 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
611 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
612 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
613 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
614 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
615 | ENDIF |
---|
616 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
617 | g / vpt(k,j,i) * & |
---|
618 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
619 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
620 | ) * dd2zu(k) |
---|
621 | ELSE IF ( cloud_droplets ) THEN |
---|
622 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
623 | k2 = 0.61 * pt(k,j,i) |
---|
624 | tend(k,j,i) = tend(k,j,i) - & |
---|
625 | kh(k,j,i) * g / vpt(k,j,i) * & |
---|
626 | ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
---|
627 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
628 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
629 | ql(k-1,j,i) ) ) * dd2zu(k) |
---|
630 | ENDIF |
---|
631 | |
---|
632 | ENDDO |
---|
633 | |
---|
634 | ENDDO |
---|
635 | |
---|
636 | IF ( use_surface_fluxes ) THEN |
---|
637 | |
---|
638 | DO j = nys, nyn |
---|
639 | |
---|
640 | k = nzb_diff_s_inner(j,i)-1 |
---|
641 | |
---|
642 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
643 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
644 | k2 = 0.61 * pt(k,j,i) |
---|
645 | ELSE IF ( cloud_physics ) THEN |
---|
646 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
647 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
648 | k2 = 0.61 * pt(k,j,i) |
---|
649 | ELSE |
---|
650 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
651 | temp = theta * t_d_pt(k) |
---|
652 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
653 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
654 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
655 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
656 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
657 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
658 | ENDIF |
---|
659 | ELSE IF ( cloud_droplets ) THEN |
---|
660 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
661 | k2 = 0.61 * pt(k,j,i) |
---|
662 | ENDIF |
---|
663 | |
---|
664 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
665 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
666 | ENDDO |
---|
667 | |
---|
668 | ENDIF |
---|
669 | |
---|
670 | IF ( use_top_fluxes ) THEN |
---|
671 | |
---|
672 | DO j = nys, nyn |
---|
673 | |
---|
674 | k = nzt |
---|
675 | |
---|
676 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
677 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
678 | k2 = 0.61 * pt(k,j,i) |
---|
679 | ELSE IF ( cloud_physics ) THEN |
---|
680 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
681 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
682 | k2 = 0.61 * pt(k,j,i) |
---|
683 | ELSE |
---|
684 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
685 | temp = theta * t_d_pt(k) |
---|
686 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
687 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
688 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
689 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
690 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
691 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
692 | ENDIF |
---|
693 | ELSE IF ( cloud_droplets ) THEN |
---|
694 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
695 | k2 = 0.61 * pt(k,j,i) |
---|
696 | ENDIF |
---|
697 | |
---|
698 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
699 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
700 | ENDDO |
---|
701 | |
---|
702 | ENDIF |
---|
703 | |
---|
704 | ENDIF |
---|
705 | |
---|
706 | ENDIF |
---|
707 | |
---|
708 | ENDDO |
---|
709 | |
---|
710 | END SUBROUTINE production_e |
---|
711 | |
---|
712 | |
---|
713 | !------------------------------------------------------------------------------! |
---|
714 | ! Call for all grid points - accelerator version |
---|
715 | !------------------------------------------------------------------------------! |
---|
716 | SUBROUTINE production_e_acc |
---|
717 | |
---|
718 | USE arrays_3d |
---|
719 | USE cloud_parameters |
---|
720 | USE control_parameters |
---|
721 | USE grid_variables |
---|
722 | USE indices |
---|
723 | USE statistics |
---|
724 | |
---|
725 | IMPLICIT NONE |
---|
726 | |
---|
727 | INTEGER :: i, j, k |
---|
728 | |
---|
729 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
---|
730 | k1, k2, km_neutral, theta, temp |
---|
731 | |
---|
732 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs |
---|
733 | !$acc declare create ( usvs, vsus, wsus, wsvs ) |
---|
734 | |
---|
735 | ! |
---|
736 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
---|
737 | !-- vertical walls, if neccessary |
---|
738 | !-- CAUTION: results are slightly different from the ij-version!! |
---|
739 | !-- ij-version should be called further below within the ij-loops!! |
---|
740 | IF ( topography /= 'flat' ) THEN |
---|
741 | CALL wall_fluxes_e_acc( usvs, 1.0, 0.0, 0.0, 0.0, wall_e_y ) |
---|
742 | CALL wall_fluxes_e_acc( wsvs, 0.0, 0.0, 1.0, 0.0, wall_e_y ) |
---|
743 | CALL wall_fluxes_e_acc( vsus, 0.0, 1.0, 0.0, 0.0, wall_e_x ) |
---|
744 | CALL wall_fluxes_e_acc( wsus, 0.0, 0.0, 0.0, 1.0, wall_e_x ) |
---|
745 | ENDIF |
---|
746 | |
---|
747 | |
---|
748 | ! |
---|
749 | !-- Calculate TKE production by shear |
---|
750 | !$acc kernels present( ddzw, dd2zu, kh, km, nzb_diff_s_inner, nzb_diff_s_outer ) & |
---|
751 | !$acc present( nzb_s_inner, nzb_s_outer, pt, q, ql, qsws, qswst, rho ) & |
---|
752 | !$acc present( shf, tend, tswst, u, v, vpt, w, wall_e_x, wall_e_y ) & |
---|
753 | !$acc copyin( u_0, v_0 ) |
---|
754 | DO i = i_left, i_right |
---|
755 | DO j = j_south, j_north |
---|
756 | DO k = 1, nzt |
---|
757 | |
---|
758 | IF ( k >= nzb_diff_s_outer(j,i) ) THEN |
---|
759 | |
---|
760 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
761 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
762 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
763 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
764 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
765 | |
---|
766 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
767 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
768 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
769 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
770 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
771 | |
---|
772 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
773 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
774 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
775 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
776 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
777 | |
---|
778 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
779 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
780 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
781 | |
---|
782 | IF ( def < 0.0 ) def = 0.0 |
---|
783 | |
---|
784 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
785 | |
---|
786 | ENDIF |
---|
787 | |
---|
788 | ENDDO |
---|
789 | ENDDO |
---|
790 | ENDDO |
---|
791 | |
---|
792 | IF ( prandtl_layer ) THEN |
---|
793 | |
---|
794 | ! |
---|
795 | !-- Position beneath wall |
---|
796 | !-- (2) - Will allways be executed. |
---|
797 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
---|
798 | DO i = i_left, i_right |
---|
799 | DO j = j_south, j_north |
---|
800 | DO k = 1, nzt |
---|
801 | |
---|
802 | IF ( ( wall_e_x(j,i) /= 0.0 ).OR.( wall_e_y(j,i) /= 0.0 ) ) & |
---|
803 | THEN |
---|
804 | |
---|
805 | IF ( k == nzb_diff_s_inner(j,i) - 1 ) THEN |
---|
806 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
807 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
808 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
809 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
810 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
811 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
812 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
813 | |
---|
814 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
815 | ! |
---|
816 | !-- Inconsistency removed: as the thermal stratification is |
---|
817 | !-- not taken into account for the evaluation of the wall |
---|
818 | !-- fluxes at vertical walls, the eddy viscosity km must not |
---|
819 | !-- be used for the evaluation of the velocity gradients dudy |
---|
820 | !-- and dwdy |
---|
821 | !-- Note: The validity of the new method has not yet been |
---|
822 | !-- shown, as so far no suitable data for a validation |
---|
823 | !-- has been available |
---|
824 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
825 | ! usvs, 1.0, 0.0, 0.0, 0.0 ) |
---|
826 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
827 | ! wsvs, 0.0, 0.0, 1.0, 0.0 ) |
---|
828 | km_neutral = kappa * & |
---|
829 | ( usvs(k,j,i)**2 + wsvs(k,j,i)**2 )**0.25 * & |
---|
830 | 0.5 * dy |
---|
831 | IF ( km_neutral > 0.0 ) THEN |
---|
832 | dudy = - wall_e_y(j,i) * usvs(k,j,i) / km_neutral |
---|
833 | dwdy = - wall_e_y(j,i) * wsvs(k,j,i) / km_neutral |
---|
834 | ELSE |
---|
835 | dudy = 0.0 |
---|
836 | dwdy = 0.0 |
---|
837 | ENDIF |
---|
838 | ELSE |
---|
839 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
840 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
841 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
842 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
843 | ENDIF |
---|
844 | |
---|
845 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
846 | ! |
---|
847 | !-- Inconsistency removed: as the thermal stratification is |
---|
848 | !-- not taken into account for the evaluation of the wall |
---|
849 | !-- fluxes at vertical walls, the eddy viscosity km must not |
---|
850 | !-- be used for the evaluation of the velocity gradients dvdx |
---|
851 | !-- and dwdx |
---|
852 | !-- Note: The validity of the new method has not yet been |
---|
853 | !-- shown, as so far no suitable data for a validation |
---|
854 | !-- has been available |
---|
855 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
856 | ! vsus, 0.0, 1.0, 0.0, 0.0 ) |
---|
857 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
858 | ! wsus, 0.0, 0.0, 0.0, 1.0 ) |
---|
859 | km_neutral = kappa * & |
---|
860 | ( vsus(k,j,i)**2 + wsus(k,j,i)**2 )**0.25 * & |
---|
861 | 0.5 * dx |
---|
862 | IF ( km_neutral > 0.0 ) THEN |
---|
863 | dvdx = - wall_e_x(j,i) * vsus(k,j,i) / km_neutral |
---|
864 | dwdx = - wall_e_x(j,i) * wsus(k,j,i) / km_neutral |
---|
865 | ELSE |
---|
866 | dvdx = 0.0 |
---|
867 | dwdx = 0.0 |
---|
868 | ENDIF |
---|
869 | ELSE |
---|
870 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
871 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
872 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
873 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
874 | ENDIF |
---|
875 | |
---|
876 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
877 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
878 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
879 | |
---|
880 | IF ( def < 0.0 ) def = 0.0 |
---|
881 | |
---|
882 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
883 | |
---|
884 | ENDIF |
---|
885 | ! |
---|
886 | !-- (3) - will be executed only, if there is at least one level |
---|
887 | !-- between (2) and (4), i.e. the topography must have a |
---|
888 | !-- minimum height of 2 dz. Wall fluxes for this case have |
---|
889 | !-- already been calculated for (2). |
---|
890 | !-- 'wall only: use wall functions' |
---|
891 | |
---|
892 | IF ( k >= nzb_diff_s_inner(j,i) .AND. & |
---|
893 | k <= nzb_diff_s_outer(j,i)-2 ) THEN |
---|
894 | |
---|
895 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
896 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
897 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
898 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
899 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
900 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
901 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
902 | |
---|
903 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
904 | ! |
---|
905 | !-- Inconsistency removed: as the thermal stratification |
---|
906 | !-- is not taken into account for the evaluation of the |
---|
907 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
908 | !-- must not be used for the evaluation of the velocity |
---|
909 | !-- gradients dudy and dwdy |
---|
910 | !-- Note: The validity of the new method has not yet |
---|
911 | !-- been shown, as so far no suitable data for a |
---|
912 | !-- validation has been available |
---|
913 | km_neutral = kappa * ( usvs(k,j,i)**2 + & |
---|
914 | wsvs(k,j,i)**2 )**0.25 * 0.5 * dy |
---|
915 | IF ( km_neutral > 0.0 ) THEN |
---|
916 | dudy = - wall_e_y(j,i) * usvs(k,j,i) / km_neutral |
---|
917 | dwdy = - wall_e_y(j,i) * wsvs(k,j,i) / km_neutral |
---|
918 | ELSE |
---|
919 | dudy = 0.0 |
---|
920 | dwdy = 0.0 |
---|
921 | ENDIF |
---|
922 | ELSE |
---|
923 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
924 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
925 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
926 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
927 | ENDIF |
---|
928 | |
---|
929 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
930 | ! |
---|
931 | !-- Inconsistency removed: as the thermal stratification |
---|
932 | !-- is not taken into account for the evaluation of the |
---|
933 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
934 | !-- must not be used for the evaluation of the velocity |
---|
935 | !-- gradients dvdx and dwdx |
---|
936 | !-- Note: The validity of the new method has not yet |
---|
937 | !-- been shown, as so far no suitable data for a |
---|
938 | !-- validation has been available |
---|
939 | km_neutral = kappa * ( vsus(k,j,i)**2 + & |
---|
940 | wsus(k,j,i)**2 )**0.25 * 0.5 * dx |
---|
941 | IF ( km_neutral > 0.0 ) THEN |
---|
942 | dvdx = - wall_e_x(j,i) * vsus(k,j,i) / km_neutral |
---|
943 | dwdx = - wall_e_x(j,i) * wsus(k,j,i) / km_neutral |
---|
944 | ELSE |
---|
945 | dvdx = 0.0 |
---|
946 | dwdx = 0.0 |
---|
947 | ENDIF |
---|
948 | ELSE |
---|
949 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
950 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
951 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
952 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
953 | ENDIF |
---|
954 | |
---|
955 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
956 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
957 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
958 | |
---|
959 | IF ( def < 0.0 ) def = 0.0 |
---|
960 | |
---|
961 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
962 | |
---|
963 | ENDIF |
---|
964 | |
---|
965 | ! |
---|
966 | !-- (4) - will allways be executed. |
---|
967 | !-- 'special case: free atmosphere' (as for case (0)) |
---|
968 | IF ( k == nzb_diff_s_outer(j,i)-1 ) THEN |
---|
969 | |
---|
970 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
971 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
972 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
973 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
974 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
975 | |
---|
976 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
977 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
978 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
979 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
980 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
981 | |
---|
982 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
983 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
984 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
985 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
986 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
987 | |
---|
988 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
989 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
990 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
991 | |
---|
992 | IF ( def < 0.0 ) def = 0.0 |
---|
993 | |
---|
994 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
995 | |
---|
996 | ENDIF |
---|
997 | |
---|
998 | ENDIF |
---|
999 | |
---|
1000 | ENDDO |
---|
1001 | ENDDO |
---|
1002 | ENDDO |
---|
1003 | |
---|
1004 | ! |
---|
1005 | !-- Position without adjacent wall |
---|
1006 | !-- (1) - will allways be executed. |
---|
1007 | !-- 'bottom only: use u_0,v_0' |
---|
1008 | DO i = i_left, i_right |
---|
1009 | DO j = j_south, j_north |
---|
1010 | DO k = 1, nzt |
---|
1011 | |
---|
1012 | IF ( ( wall_e_x(j,i) == 0.0 ) .AND. ( wall_e_y(j,i) == 0.0 ) ) & |
---|
1013 | THEN |
---|
1014 | |
---|
1015 | IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
---|
1016 | |
---|
1017 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1018 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1019 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1020 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1021 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
1022 | |
---|
1023 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1024 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1025 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1026 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1027 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
1028 | |
---|
1029 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1030 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1031 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1032 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1033 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1034 | |
---|
1035 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1036 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1037 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1038 | |
---|
1039 | IF ( def < 0.0 ) def = 0.0 |
---|
1040 | |
---|
1041 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1042 | |
---|
1043 | ENDIF |
---|
1044 | |
---|
1045 | ENDIF |
---|
1046 | |
---|
1047 | ENDDO |
---|
1048 | ENDDO |
---|
1049 | ENDDO |
---|
1050 | |
---|
1051 | ELSEIF ( use_surface_fluxes ) THEN |
---|
1052 | |
---|
1053 | DO i = i_left, i_right |
---|
1054 | DO j = j_south, j_north |
---|
1055 | DO k = 1, nzt |
---|
1056 | |
---|
1057 | IF ( k == nzb_diff_s_outer(j,i)-1 ) THEN |
---|
1058 | |
---|
1059 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1060 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1061 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1062 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1063 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1064 | |
---|
1065 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1066 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1067 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1068 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1069 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1070 | |
---|
1071 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1072 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1073 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1074 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1075 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1076 | |
---|
1077 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1078 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1079 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1080 | |
---|
1081 | IF ( def < 0.0 ) def = 0.0 |
---|
1082 | |
---|
1083 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1084 | |
---|
1085 | ENDIF |
---|
1086 | |
---|
1087 | ENDDO |
---|
1088 | ENDDO |
---|
1089 | ENDDO |
---|
1090 | |
---|
1091 | ENDIF |
---|
1092 | |
---|
1093 | ! |
---|
1094 | !-- If required, calculate TKE production by buoyancy |
---|
1095 | IF ( .NOT. neutral ) THEN |
---|
1096 | |
---|
1097 | IF ( .NOT. humidity ) THEN |
---|
1098 | |
---|
1099 | IF ( use_single_reference_value ) THEN |
---|
1100 | |
---|
1101 | IF ( ocean ) THEN |
---|
1102 | ! |
---|
1103 | !-- So far in the ocean no special treatment of density flux |
---|
1104 | !-- in the bottom and top surface layer |
---|
1105 | DO i = i_left, i_right |
---|
1106 | DO j = j_south, j_north |
---|
1107 | DO k = 1, nzt |
---|
1108 | IF ( k > nzb_s_inner(j,i) ) THEN |
---|
1109 | tend(k,j,i) = tend(k,j,i) + & |
---|
1110 | kh(k,j,i) * g / rho_reference * & |
---|
1111 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
---|
1112 | dd2zu(k) |
---|
1113 | ENDIF |
---|
1114 | ENDDO |
---|
1115 | ENDDO |
---|
1116 | ENDDO |
---|
1117 | |
---|
1118 | ELSE |
---|
1119 | |
---|
1120 | DO i = i_left, i_right |
---|
1121 | DO j = j_south, j_north |
---|
1122 | DO k = 1, nzt_diff |
---|
1123 | IF ( k >= nzb_diff_s_inner(j,i) ) THEN |
---|
1124 | tend(k,j,i) = tend(k,j,i) - & |
---|
1125 | kh(k,j,i) * g / pt_reference * & |
---|
1126 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
1127 | dd2zu(k) |
---|
1128 | ENDIF |
---|
1129 | |
---|
1130 | IF ( k == nzb_diff_s_inner(j,i)-1 .AND. & |
---|
1131 | use_surface_fluxes ) THEN |
---|
1132 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
1133 | shf(j,i) |
---|
1134 | ENDIF |
---|
1135 | |
---|
1136 | IF ( k == nzt .AND. use_top_fluxes ) THEN |
---|
1137 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
1138 | tswst(j,i) |
---|
1139 | ENDIF |
---|
1140 | ENDDO |
---|
1141 | ENDDO |
---|
1142 | ENDDO |
---|
1143 | |
---|
1144 | ENDIF |
---|
1145 | |
---|
1146 | ELSE |
---|
1147 | |
---|
1148 | IF ( ocean ) THEN |
---|
1149 | ! |
---|
1150 | !-- So far in the ocean no special treatment of density flux |
---|
1151 | !-- in the bottom and top surface layer |
---|
1152 | DO i = i_left, i_right |
---|
1153 | DO j = j_south, j_north |
---|
1154 | DO k = 1, nzt |
---|
1155 | IF ( k > nzb_s_inner(j,i) ) THEN |
---|
1156 | tend(k,j,i) = tend(k,j,i) + & |
---|
1157 | kh(k,j,i) * g / rho(k,j,i) * & |
---|
1158 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
---|
1159 | dd2zu(k) |
---|
1160 | ENDIF |
---|
1161 | ENDDO |
---|
1162 | ENDDO |
---|
1163 | ENDDO |
---|
1164 | |
---|
1165 | ELSE |
---|
1166 | |
---|
1167 | DO i = i_left, i_right |
---|
1168 | DO j = j_south, j_north |
---|
1169 | DO k = 1, nzt_diff |
---|
1170 | IF( k >= nzb_diff_s_inner(j,i) ) THEN |
---|
1171 | tend(k,j,i) = tend(k,j,i) - & |
---|
1172 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
1173 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
1174 | dd2zu(k) |
---|
1175 | ENDIF |
---|
1176 | |
---|
1177 | IF ( k == nzb_diff_s_inner(j,i)-1 .AND. & |
---|
1178 | use_surface_fluxes ) THEN |
---|
1179 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
1180 | shf(j,i) |
---|
1181 | ENDIF |
---|
1182 | |
---|
1183 | IF ( k == nzt .AND. use_top_fluxes ) THEN |
---|
1184 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
1185 | tswst(j,i) |
---|
1186 | ENDIF |
---|
1187 | ENDDO |
---|
1188 | ENDDO |
---|
1189 | ENDDO |
---|
1190 | |
---|
1191 | ENDIF |
---|
1192 | |
---|
1193 | ENDIF |
---|
1194 | |
---|
1195 | ELSE |
---|
1196 | ! |
---|
1197 | !++ This part gives the PGI compiler problems in the previous loop |
---|
1198 | !++ even without any acc statements???? |
---|
1199 | ! STOP '+++ production_e problems with acc-directives' |
---|
1200 | ! !acc loop |
---|
1201 | ! DO i = nxl, nxr |
---|
1202 | ! DO j = nys, nyn |
---|
1203 | ! !acc loop vector |
---|
1204 | ! DO k = 1, nzt_diff |
---|
1205 | ! |
---|
1206 | ! IF ( k >= nzb_diff_s_inner(j,i) ) THEN |
---|
1207 | ! |
---|
1208 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1209 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1210 | ! k2 = 0.61 * pt(k,j,i) |
---|
1211 | ! tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
1212 | ! g / vpt(k,j,i) * & |
---|
1213 | ! ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1214 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1215 | ! ) * dd2zu(k) |
---|
1216 | ! ELSE IF ( cloud_physics ) THEN |
---|
1217 | ! IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1218 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1219 | ! k2 = 0.61 * pt(k,j,i) |
---|
1220 | ! ELSE |
---|
1221 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1222 | ! temp = theta * t_d_pt(k) |
---|
1223 | ! k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1224 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1225 | ! ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1226 | ! ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1227 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1228 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1229 | ! ENDIF |
---|
1230 | ! tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
1231 | ! g / vpt(k,j,i) * & |
---|
1232 | ! ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1233 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1234 | ! ) * dd2zu(k) |
---|
1235 | ! ELSE IF ( cloud_droplets ) THEN |
---|
1236 | ! k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1237 | ! k2 = 0.61 * pt(k,j,i) |
---|
1238 | ! tend(k,j,i) = tend(k,j,i) - & |
---|
1239 | ! kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1240 | ! ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
---|
1241 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
1242 | ! pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
1243 | ! ql(k-1,j,i) ) ) * dd2zu(k) |
---|
1244 | ! ENDIF |
---|
1245 | ! |
---|
1246 | ! ENDIF |
---|
1247 | ! |
---|
1248 | ! ENDDO |
---|
1249 | ! ENDDO |
---|
1250 | ! ENDDO |
---|
1251 | ! |
---|
1252 | |
---|
1253 | !!++ Next two loops are probably very inefficiently parallellized |
---|
1254 | !!++ and will require better optimization |
---|
1255 | ! IF ( use_surface_fluxes ) THEN |
---|
1256 | ! |
---|
1257 | ! !acc loop |
---|
1258 | ! DO i = nxl, nxr |
---|
1259 | ! DO j = nys, nyn |
---|
1260 | ! !acc loop vector |
---|
1261 | ! DO k = 1, nzt_diff |
---|
1262 | ! |
---|
1263 | ! IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
---|
1264 | ! |
---|
1265 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1266 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1267 | ! k2 = 0.61 * pt(k,j,i) |
---|
1268 | ! ELSE IF ( cloud_physics ) THEN |
---|
1269 | ! IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1270 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1271 | ! k2 = 0.61 * pt(k,j,i) |
---|
1272 | ! ELSE |
---|
1273 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1274 | ! temp = theta * t_d_pt(k) |
---|
1275 | ! k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1276 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1277 | ! ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1278 | ! ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1279 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1280 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1281 | ! ENDIF |
---|
1282 | ! ELSE IF ( cloud_droplets ) THEN |
---|
1283 | ! k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1284 | ! k2 = 0.61 * pt(k,j,i) |
---|
1285 | ! ENDIF |
---|
1286 | ! |
---|
1287 | ! tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1288 | ! ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
1289 | ! ENDIF |
---|
1290 | ! |
---|
1291 | ! ENDDO |
---|
1292 | ! ENDDO |
---|
1293 | ! ENDDO |
---|
1294 | ! |
---|
1295 | ! ENDIF |
---|
1296 | ! |
---|
1297 | ! IF ( use_top_fluxes ) THEN |
---|
1298 | ! |
---|
1299 | ! !acc loop |
---|
1300 | ! DO i = nxl, nxr |
---|
1301 | ! DO j = nys, nyn |
---|
1302 | ! !acc loop vector |
---|
1303 | ! DO k = 1, nzt |
---|
1304 | ! IF ( k == nzt ) THEN |
---|
1305 | ! |
---|
1306 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1307 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1308 | ! k2 = 0.61 * pt(k,j,i) |
---|
1309 | ! ELSE IF ( cloud_physics ) THEN |
---|
1310 | ! IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1311 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1312 | ! k2 = 0.61 * pt(k,j,i) |
---|
1313 | ! ELSE |
---|
1314 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1315 | ! temp = theta * t_d_pt(k) |
---|
1316 | ! k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1317 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1318 | ! ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1319 | ! ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1320 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1321 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1322 | ! ENDIF |
---|
1323 | ! ELSE IF ( cloud_droplets ) THEN |
---|
1324 | ! k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1325 | ! k2 = 0.61 * pt(k,j,i) |
---|
1326 | ! ENDIF |
---|
1327 | ! |
---|
1328 | ! tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1329 | ! ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
1330 | ! |
---|
1331 | ! ENDIF |
---|
1332 | ! |
---|
1333 | ! ENDDO |
---|
1334 | ! ENDDO |
---|
1335 | ! ENDDO |
---|
1336 | ! |
---|
1337 | ! ENDIF |
---|
1338 | |
---|
1339 | ENDIF |
---|
1340 | |
---|
1341 | ENDIF |
---|
1342 | !$acc end kernels |
---|
1343 | |
---|
1344 | END SUBROUTINE production_e_acc |
---|
1345 | |
---|
1346 | |
---|
1347 | !------------------------------------------------------------------------------! |
---|
1348 | ! Call for grid point i,j |
---|
1349 | !------------------------------------------------------------------------------! |
---|
1350 | SUBROUTINE production_e_ij( i, j ) |
---|
1351 | |
---|
1352 | USE arrays_3d |
---|
1353 | USE cloud_parameters |
---|
1354 | USE control_parameters |
---|
1355 | USE grid_variables |
---|
1356 | USE indices |
---|
1357 | USE statistics |
---|
1358 | |
---|
1359 | IMPLICIT NONE |
---|
1360 | |
---|
1361 | INTEGER :: i, j, k |
---|
1362 | |
---|
1363 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
---|
1364 | k1, k2, km_neutral, theta, temp |
---|
1365 | |
---|
1366 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
---|
1367 | |
---|
1368 | ! |
---|
1369 | !-- Calculate TKE production by shear |
---|
1370 | DO k = nzb_diff_s_outer(j,i), nzt |
---|
1371 | |
---|
1372 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1373 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1374 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1375 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1376 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1377 | |
---|
1378 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1379 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1380 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1381 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1382 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1383 | |
---|
1384 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1385 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1386 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1387 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1388 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1389 | |
---|
1390 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
1391 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
1392 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1393 | |
---|
1394 | IF ( def < 0.0 ) def = 0.0 |
---|
1395 | |
---|
1396 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1397 | |
---|
1398 | ENDDO |
---|
1399 | |
---|
1400 | IF ( prandtl_layer ) THEN |
---|
1401 | |
---|
1402 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) THEN |
---|
1403 | |
---|
1404 | ! |
---|
1405 | !-- Position beneath wall |
---|
1406 | !-- (2) - Will allways be executed. |
---|
1407 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
---|
1408 | k = nzb_diff_s_inner(j,i)-1 |
---|
1409 | |
---|
1410 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1411 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1412 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
1413 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1414 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1415 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
1416 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1417 | |
---|
1418 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
1419 | ! |
---|
1420 | !-- Inconsistency removed: as the thermal stratification |
---|
1421 | !-- is not taken into account for the evaluation of the |
---|
1422 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
1423 | !-- must not be used for the evaluation of the velocity |
---|
1424 | !-- gradients dudy and dwdy |
---|
1425 | !-- Note: The validity of the new method has not yet |
---|
1426 | !-- been shown, as so far no suitable data for a |
---|
1427 | !-- validation has been available |
---|
1428 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
1429 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
---|
1430 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
1431 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
---|
1432 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25 * & |
---|
1433 | 0.5 * dy |
---|
1434 | IF ( km_neutral > 0.0 ) THEN |
---|
1435 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
1436 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
1437 | ELSE |
---|
1438 | dudy = 0.0 |
---|
1439 | dwdy = 0.0 |
---|
1440 | ENDIF |
---|
1441 | ELSE |
---|
1442 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1443 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1444 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1445 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1446 | ENDIF |
---|
1447 | |
---|
1448 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
1449 | ! |
---|
1450 | !-- Inconsistency removed: as the thermal stratification |
---|
1451 | !-- is not taken into account for the evaluation of the |
---|
1452 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
1453 | !-- must not be used for the evaluation of the velocity |
---|
1454 | !-- gradients dvdx and dwdx |
---|
1455 | !-- Note: The validity of the new method has not yet |
---|
1456 | !-- been shown, as so far no suitable data for a |
---|
1457 | !-- validation has been available |
---|
1458 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
1459 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
---|
1460 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
1461 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
---|
1462 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25 * & |
---|
1463 | 0.5 * dx |
---|
1464 | IF ( km_neutral > 0.0 ) THEN |
---|
1465 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
1466 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
1467 | ELSE |
---|
1468 | dvdx = 0.0 |
---|
1469 | dwdx = 0.0 |
---|
1470 | ENDIF |
---|
1471 | ELSE |
---|
1472 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1473 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1474 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1475 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1476 | ENDIF |
---|
1477 | |
---|
1478 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1479 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1480 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1481 | |
---|
1482 | IF ( def < 0.0 ) def = 0.0 |
---|
1483 | |
---|
1484 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1485 | |
---|
1486 | ! |
---|
1487 | !-- (3) - will be executed only, if there is at least one level |
---|
1488 | !-- between (2) and (4), i.e. the topography must have a |
---|
1489 | !-- minimum height of 2 dz. Wall fluxes for this case have |
---|
1490 | !-- already been calculated for (2). |
---|
1491 | !-- 'wall only: use wall functions' |
---|
1492 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
---|
1493 | |
---|
1494 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1495 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1496 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1497 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1498 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1499 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1500 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1501 | |
---|
1502 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
1503 | ! |
---|
1504 | !-- Inconsistency removed: as the thermal stratification |
---|
1505 | !-- is not taken into account for the evaluation of the |
---|
1506 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
1507 | !-- must not be used for the evaluation of the velocity |
---|
1508 | !-- gradients dudy and dwdy |
---|
1509 | !-- Note: The validity of the new method has not yet |
---|
1510 | !-- been shown, as so far no suitable data for a |
---|
1511 | !-- validation has been available |
---|
1512 | km_neutral = kappa * ( usvs(k)**2 + & |
---|
1513 | wsvs(k)**2 )**0.25 * 0.5 * dy |
---|
1514 | IF ( km_neutral > 0.0 ) THEN |
---|
1515 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
1516 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
1517 | ELSE |
---|
1518 | dudy = 0.0 |
---|
1519 | dwdy = 0.0 |
---|
1520 | ENDIF |
---|
1521 | ELSE |
---|
1522 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1523 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1524 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1525 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1526 | ENDIF |
---|
1527 | |
---|
1528 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
1529 | ! |
---|
1530 | !-- Inconsistency removed: as the thermal stratification |
---|
1531 | !-- is not taken into account for the evaluation of the |
---|
1532 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
1533 | !-- must not be used for the evaluation of the velocity |
---|
1534 | !-- gradients dvdx and dwdx |
---|
1535 | !-- Note: The validity of the new method has not yet |
---|
1536 | !-- been shown, as so far no suitable data for a |
---|
1537 | !-- validation has been available |
---|
1538 | km_neutral = kappa * ( vsus(k)**2 + & |
---|
1539 | wsus(k)**2 )**0.25 * 0.5 * dx |
---|
1540 | IF ( km_neutral > 0.0 ) THEN |
---|
1541 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
1542 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
1543 | ELSE |
---|
1544 | dvdx = 0.0 |
---|
1545 | dwdx = 0.0 |
---|
1546 | ENDIF |
---|
1547 | ELSE |
---|
1548 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1549 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1550 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1551 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1552 | ENDIF |
---|
1553 | |
---|
1554 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1555 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1556 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1557 | |
---|
1558 | IF ( def < 0.0 ) def = 0.0 |
---|
1559 | |
---|
1560 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1561 | |
---|
1562 | ENDDO |
---|
1563 | |
---|
1564 | ! |
---|
1565 | !-- (4) - will allways be executed. |
---|
1566 | !-- 'special case: free atmosphere' (as for case (0)) |
---|
1567 | k = nzb_diff_s_outer(j,i)-1 |
---|
1568 | |
---|
1569 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1570 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1571 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1572 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1573 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1574 | |
---|
1575 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1576 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1577 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1578 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1579 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1580 | |
---|
1581 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1582 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1583 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1584 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1585 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1586 | |
---|
1587 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1588 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1589 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1590 | |
---|
1591 | IF ( def < 0.0 ) def = 0.0 |
---|
1592 | |
---|
1593 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1594 | |
---|
1595 | ELSE |
---|
1596 | |
---|
1597 | ! |
---|
1598 | !-- Position without adjacent wall |
---|
1599 | !-- (1) - will allways be executed. |
---|
1600 | !-- 'bottom only: use u_0,v_0' |
---|
1601 | k = nzb_diff_s_inner(j,i)-1 |
---|
1602 | |
---|
1603 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1604 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1605 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1606 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1607 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
1608 | |
---|
1609 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1610 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1611 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1612 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1613 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
1614 | |
---|
1615 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1616 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1617 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1618 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1619 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1620 | |
---|
1621 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
1622 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
1623 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1624 | |
---|
1625 | IF ( def < 0.0 ) def = 0.0 |
---|
1626 | |
---|
1627 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1628 | |
---|
1629 | ENDIF |
---|
1630 | |
---|
1631 | ELSEIF ( use_surface_fluxes ) THEN |
---|
1632 | |
---|
1633 | k = nzb_diff_s_outer(j,i)-1 |
---|
1634 | |
---|
1635 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1636 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1637 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1638 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1639 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1640 | |
---|
1641 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1642 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1643 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1644 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1645 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1646 | |
---|
1647 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1648 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1649 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1650 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1651 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1652 | |
---|
1653 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1654 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1655 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1656 | |
---|
1657 | IF ( def < 0.0 ) def = 0.0 |
---|
1658 | |
---|
1659 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1660 | |
---|
1661 | ENDIF |
---|
1662 | |
---|
1663 | ! |
---|
1664 | !-- If required, calculate TKE production by buoyancy |
---|
1665 | IF ( .NOT. neutral ) THEN |
---|
1666 | |
---|
1667 | IF ( .NOT. humidity ) THEN |
---|
1668 | |
---|
1669 | IF ( use_single_reference_value ) THEN |
---|
1670 | |
---|
1671 | IF ( ocean ) THEN |
---|
1672 | ! |
---|
1673 | !-- So far in the ocean no special treatment of density flux in |
---|
1674 | !-- the bottom and top surface layer |
---|
1675 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1676 | tend(k,j,i) = tend(k,j,i) + & |
---|
1677 | kh(k,j,i) * g / rho_reference * & |
---|
1678 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
---|
1679 | ENDDO |
---|
1680 | |
---|
1681 | ELSE |
---|
1682 | |
---|
1683 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
1684 | tend(k,j,i) = tend(k,j,i) - & |
---|
1685 | kh(k,j,i) * g / pt_reference * & |
---|
1686 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
1687 | ENDDO |
---|
1688 | |
---|
1689 | IF ( use_surface_fluxes ) THEN |
---|
1690 | k = nzb_diff_s_inner(j,i)-1 |
---|
1691 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) |
---|
1692 | ENDIF |
---|
1693 | |
---|
1694 | IF ( use_top_fluxes ) THEN |
---|
1695 | k = nzt |
---|
1696 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * tswst(j,i) |
---|
1697 | ENDIF |
---|
1698 | |
---|
1699 | ENDIF |
---|
1700 | |
---|
1701 | ELSE |
---|
1702 | |
---|
1703 | IF ( ocean ) THEN |
---|
1704 | ! |
---|
1705 | !-- So far in the ocean no special treatment of density flux in |
---|
1706 | !-- the bottom and top surface layer |
---|
1707 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1708 | tend(k,j,i) = tend(k,j,i) + & |
---|
1709 | kh(k,j,i) * g / rho(k,j,i) * & |
---|
1710 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
---|
1711 | ENDDO |
---|
1712 | |
---|
1713 | ELSE |
---|
1714 | |
---|
1715 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
1716 | tend(k,j,i) = tend(k,j,i) - & |
---|
1717 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
1718 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
1719 | ENDDO |
---|
1720 | |
---|
1721 | IF ( use_surface_fluxes ) THEN |
---|
1722 | k = nzb_diff_s_inner(j,i)-1 |
---|
1723 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
---|
1724 | ENDIF |
---|
1725 | |
---|
1726 | IF ( use_top_fluxes ) THEN |
---|
1727 | k = nzt |
---|
1728 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
---|
1729 | ENDIF |
---|
1730 | |
---|
1731 | ENDIF |
---|
1732 | |
---|
1733 | ENDIF |
---|
1734 | |
---|
1735 | ELSE |
---|
1736 | |
---|
1737 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
1738 | |
---|
1739 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1740 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1741 | k2 = 0.61 * pt(k,j,i) |
---|
1742 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1743 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1744 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1745 | ) * dd2zu(k) |
---|
1746 | ELSE IF ( cloud_physics ) THEN |
---|
1747 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1748 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1749 | k2 = 0.61 * pt(k,j,i) |
---|
1750 | ELSE |
---|
1751 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1752 | temp = theta * t_d_pt(k) |
---|
1753 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1754 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1755 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1756 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1757 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1758 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1759 | ENDIF |
---|
1760 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1761 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1762 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1763 | ) * dd2zu(k) |
---|
1764 | ELSE IF ( cloud_droplets ) THEN |
---|
1765 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1766 | k2 = 0.61 * pt(k,j,i) |
---|
1767 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1768 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1769 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
1770 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
1771 | ql(k-1,j,i) ) ) * dd2zu(k) |
---|
1772 | ENDIF |
---|
1773 | ENDDO |
---|
1774 | |
---|
1775 | IF ( use_surface_fluxes ) THEN |
---|
1776 | k = nzb_diff_s_inner(j,i)-1 |
---|
1777 | |
---|
1778 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1779 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1780 | k2 = 0.61 * pt(k,j,i) |
---|
1781 | ELSE IF ( cloud_physics ) THEN |
---|
1782 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1783 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1784 | k2 = 0.61 * pt(k,j,i) |
---|
1785 | ELSE |
---|
1786 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1787 | temp = theta * t_d_pt(k) |
---|
1788 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1789 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1790 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1791 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1792 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1793 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1794 | ENDIF |
---|
1795 | ELSE IF ( cloud_droplets ) THEN |
---|
1796 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1797 | k2 = 0.61 * pt(k,j,i) |
---|
1798 | ENDIF |
---|
1799 | |
---|
1800 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1801 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
1802 | ENDIF |
---|
1803 | |
---|
1804 | IF ( use_top_fluxes ) THEN |
---|
1805 | k = nzt |
---|
1806 | |
---|
1807 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1808 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1809 | k2 = 0.61 * pt(k,j,i) |
---|
1810 | ELSE IF ( cloud_physics ) THEN |
---|
1811 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1812 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1813 | k2 = 0.61 * pt(k,j,i) |
---|
1814 | ELSE |
---|
1815 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1816 | temp = theta * t_d_pt(k) |
---|
1817 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1818 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1819 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1820 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1821 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1822 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1823 | ENDIF |
---|
1824 | ELSE IF ( cloud_droplets ) THEN |
---|
1825 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1826 | k2 = 0.61 * pt(k,j,i) |
---|
1827 | ENDIF |
---|
1828 | |
---|
1829 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1830 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
1831 | ENDIF |
---|
1832 | |
---|
1833 | ENDIF |
---|
1834 | |
---|
1835 | ENDIF |
---|
1836 | |
---|
1837 | END SUBROUTINE production_e_ij |
---|
1838 | |
---|
1839 | |
---|
1840 | SUBROUTINE production_e_init |
---|
1841 | |
---|
1842 | USE arrays_3d |
---|
1843 | USE control_parameters |
---|
1844 | USE grid_variables |
---|
1845 | USE indices |
---|
1846 | |
---|
1847 | IMPLICIT NONE |
---|
1848 | |
---|
1849 | INTEGER :: i, j, ku, kv |
---|
1850 | |
---|
1851 | IF ( prandtl_layer ) THEN |
---|
1852 | |
---|
1853 | IF ( first_call ) THEN |
---|
1854 | ALLOCATE( u_0(nysg:nyng,nxlg:nxrg), v_0(nysg:nyng,nxlg:nxrg) ) |
---|
1855 | u_0 = 0.0 ! just to avoid access of uninitialized memory |
---|
1856 | v_0 = 0.0 ! within exchange_horiz_2d |
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1857 | first_call = .FALSE. |
---|
1858 | ENDIF |
---|
1859 | |
---|
1860 | ! |
---|
1861 | !-- Calculate a virtual velocity at the surface in a way that the |
---|
1862 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
---|
1863 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
---|
1864 | !-- production term at k=1 (see production_e_ij). |
---|
1865 | !-- The velocity gradient has to be limited in case of too small km |
---|
1866 | !-- (otherwise the timestep may be significantly reduced by large |
---|
1867 | !-- surface winds). |
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1868 | !-- Upper bounds are nxr+1 and nyn+1 because otherwise these values are |
---|
1869 | !-- not available in case of non-cyclic boundary conditions. |
---|
1870 | !-- WARNING: the exact analytical solution would require the determination |
---|
1871 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
---|
1872 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
---|
1873 | DO i = nxl, nxr+1 |
---|
1874 | DO j = nys, nyn+1 |
---|
1875 | |
---|
1876 | ku = nzb_u_inner(j,i)+1 |
---|
1877 | kv = nzb_v_inner(j,i)+1 |
---|
1878 | |
---|
1879 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
---|
1880 | ( 0.5 * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
---|
1881 | 1.0E-20 ) |
---|
1882 | ! ( us(j,i) * kappa * zu(1) ) |
---|
1883 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
---|
1884 | ( 0.5 * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
---|
1885 | 1.0E-20 ) |
---|
1886 | ! ( us(j,i) * kappa * zu(1) ) |
---|
1887 | |
---|
1888 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
---|
1889 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
---|
1890 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
---|
1891 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
---|
1892 | |
---|
1893 | ENDDO |
---|
1894 | ENDDO |
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1895 | |
---|
1896 | CALL exchange_horiz_2d( u_0 ) |
---|
1897 | CALL exchange_horiz_2d( v_0 ) |
---|
1898 | |
---|
1899 | ENDIF |
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1900 | |
---|
1901 | END SUBROUTINE production_e_init |
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1902 | |
---|
1903 | END MODULE production_e_mod |
---|