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 1182 2013-06-14 09:07:24Z witha $ |
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27 | ! |
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28 | ! 1179 2013-06-14 05:57:58Z raasch |
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29 | ! use_reference renamed use_single_reference_value |
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30 | ! |
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31 | ! 1128 2013-04-12 06:19:32Z raasch |
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32 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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33 | ! j_north |
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34 | ! |
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35 | ! 1036 2012-10-22 13:43:42Z raasch |
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36 | ! code put under GPL (PALM 3.9) |
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37 | ! |
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38 | ! 1015 2012-09-27 09:23:24Z raasch |
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39 | ! accelerator version (*_acc) added |
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40 | ! |
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41 | ! 1007 2012-09-19 14:30:36Z franke |
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42 | ! Bugfix: calculation of buoyancy production has to consider the liquid water |
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43 | ! mixing ratio in case of cloud droplets |
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44 | ! |
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45 | ! 940 2012-07-09 14:31:00Z raasch |
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46 | ! TKE production by buoyancy can be switched off in case of runs with pure |
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47 | ! neutral stratification |
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48 | ! |
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49 | ! 759 2011-09-15 13:58:31Z raasch |
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50 | ! initialization of u_0, v_0 |
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51 | ! |
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52 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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53 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
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54 | ! |
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55 | ! 449 2010-02-02 11:23:59Z raasch |
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56 | ! test output from rev 410 removed |
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57 | ! |
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58 | ! 388 2009-09-23 09:40:33Z raasch |
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59 | ! Bugfix: wrong sign in buoyancy production of ocean part in case of not using |
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60 | ! the reference density (only in 3D routine production_e) |
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61 | ! Bugfix to avoid zero division by km_neutral |
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62 | ! |
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63 | ! 208 2008-10-20 06:02:59Z raasch |
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64 | ! Bugfix concerning the calculation of velocity gradients at vertical walls |
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65 | ! in case of diabatic conditions |
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66 | ! |
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67 | ! 187 2008-08-06 16:25:09Z letzel |
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68 | ! Change: add 'minus' sign to fluxes obtained from subroutine wall_fluxes_e for |
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69 | ! consistency with subroutine wall_fluxes |
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70 | ! |
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71 | ! 124 2007-10-19 15:47:46Z raasch |
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72 | ! Bugfix: calculation of density flux in the ocean now starts from nzb+1 |
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73 | ! |
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74 | ! 108 2007-08-24 15:10:38Z letzel |
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75 | ! Bugfix: wrong sign removed from the buoyancy production term in the case |
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76 | ! use_reference = .T., |
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77 | ! u_0 and v_0 are calculated for nxr+1, nyn+1 also (otherwise these values are |
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78 | ! not available in case of non-cyclic boundary conditions) |
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79 | ! Bugfix for ocean density flux at bottom |
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80 | ! |
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81 | ! 97 2007-06-21 08:23:15Z raasch |
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82 | ! Energy production by density flux (in ocean) added |
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83 | ! use_pt_reference renamed use_reference |
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84 | ! |
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85 | ! 75 2007-03-22 09:54:05Z raasch |
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86 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes_e, |
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87 | ! reference temperature pt_reference can be used in buoyancy term, |
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88 | ! moisture renamed humidity |
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89 | ! |
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90 | ! 37 2007-03-01 08:33:54Z raasch |
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91 | ! Calculation extended for gridpoint nzt, extended for given temperature / |
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92 | ! humidity fluxes at the top, wall-part is now executed in case that a |
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93 | ! Prandtl-layer is switched on (instead of surfaces fluxes switched on) |
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94 | ! |
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95 | ! RCS Log replace by Id keyword, revision history cleaned up |
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96 | ! |
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97 | ! Revision 1.21 2006/04/26 12:45:35 raasch |
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98 | ! OpenMP parallelization of production_e_init |
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99 | ! |
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100 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
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101 | ! Initial revision |
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102 | ! |
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103 | ! |
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104 | ! Description: |
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105 | ! ------------ |
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106 | ! Production terms (shear + buoyancy) of the TKE |
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107 | ! WARNING: the case with prandtl_layer = F and use_surface_fluxes = T is |
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108 | ! not considered well! |
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109 | !------------------------------------------------------------------------------! |
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110 | |
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111 | USE wall_fluxes_mod |
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112 | |
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113 | PRIVATE |
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114 | PUBLIC production_e, production_e_acc, production_e_init |
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115 | |
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116 | LOGICAL, SAVE :: first_call = .TRUE. |
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117 | |
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118 | REAL, DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0, v_0 |
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119 | |
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120 | INTERFACE production_e |
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121 | MODULE PROCEDURE production_e |
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122 | MODULE PROCEDURE production_e_ij |
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123 | END INTERFACE production_e |
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124 | |
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125 | INTERFACE production_e_acc |
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126 | MODULE PROCEDURE production_e_acc |
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127 | END INTERFACE production_e_acc |
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128 | |
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129 | INTERFACE production_e_init |
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130 | MODULE PROCEDURE production_e_init |
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131 | END INTERFACE production_e_init |
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132 | |
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133 | CONTAINS |
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134 | |
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135 | |
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136 | !------------------------------------------------------------------------------! |
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137 | ! Call for all grid points |
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138 | !------------------------------------------------------------------------------! |
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139 | SUBROUTINE production_e |
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140 | |
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141 | USE arrays_3d |
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142 | USE cloud_parameters |
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143 | USE control_parameters |
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144 | USE grid_variables |
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145 | USE indices |
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146 | USE statistics |
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147 | |
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148 | IMPLICIT NONE |
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149 | |
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150 | INTEGER :: i, j, k |
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151 | |
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152 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
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153 | k1, k2, km_neutral, theta, temp |
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154 | |
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155 | ! REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs |
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156 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
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157 | |
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158 | ! |
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159 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
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160 | !-- vertical walls, if neccessary |
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161 | !-- So far, results are slightly different from the ij-Version. |
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162 | !-- Therefore, ij-Version is called further below within the ij-loops. |
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163 | ! IF ( topography /= 'flat' ) THEN |
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164 | ! CALL wall_fluxes_e( usvs, 1.0, 0.0, 0.0, 0.0, wall_e_y ) |
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165 | ! CALL wall_fluxes_e( wsvs, 0.0, 0.0, 1.0, 0.0, wall_e_y ) |
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166 | ! CALL wall_fluxes_e( vsus, 0.0, 1.0, 0.0, 0.0, wall_e_x ) |
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167 | ! CALL wall_fluxes_e( wsus, 0.0, 0.0, 0.0, 1.0, wall_e_x ) |
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168 | ! ENDIF |
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169 | |
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170 | |
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171 | DO i = nxl, nxr |
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172 | |
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173 | ! |
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174 | !-- Calculate TKE production by shear |
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175 | DO j = nys, nyn |
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176 | DO k = nzb_diff_s_outer(j,i), nzt |
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177 | |
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178 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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179 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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180 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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181 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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182 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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183 | |
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184 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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185 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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186 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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187 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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188 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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189 | |
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190 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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191 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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192 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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193 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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194 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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195 | |
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196 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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197 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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198 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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199 | |
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200 | IF ( def < 0.0 ) def = 0.0 |
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201 | |
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202 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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203 | |
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204 | ENDDO |
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205 | ENDDO |
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206 | |
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207 | IF ( prandtl_layer ) THEN |
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208 | |
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209 | ! |
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210 | !-- Position beneath wall |
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211 | !-- (2) - Will allways be executed. |
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212 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
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213 | DO j = nys, nyn |
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214 | |
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215 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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216 | THEN |
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217 | |
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218 | k = nzb_diff_s_inner(j,i) - 1 |
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219 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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220 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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221 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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222 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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223 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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224 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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225 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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226 | |
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227 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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228 | ! |
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229 | !-- Inconsistency removed: as the thermal stratification is |
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230 | !-- not taken into account for the evaluation of the wall |
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231 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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232 | !-- be used for the evaluation of the velocity gradients dudy |
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233 | !-- and dwdy |
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234 | !-- Note: The validity of the new method has not yet been |
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235 | !-- shown, as so far no suitable data for a validation |
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236 | !-- has been available |
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237 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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238 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
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239 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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240 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
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241 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25 * & |
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242 | 0.5 * dy |
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243 | IF ( km_neutral > 0.0 ) THEN |
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244 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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245 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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246 | ELSE |
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247 | dudy = 0.0 |
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248 | dwdy = 0.0 |
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249 | ENDIF |
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250 | ELSE |
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251 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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252 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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253 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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254 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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255 | ENDIF |
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256 | |
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257 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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258 | ! |
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259 | !-- Inconsistency removed: as the thermal stratification is |
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260 | !-- not taken into account for the evaluation of the wall |
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261 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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262 | !-- be used for the evaluation of the velocity gradients dvdx |
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263 | !-- and dwdx |
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264 | !-- Note: The validity of the new method has not yet been |
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265 | !-- shown, as so far no suitable data for a validation |
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266 | !-- has been available |
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267 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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268 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
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269 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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270 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
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271 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25 * & |
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272 | 0.5 * dx |
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273 | IF ( km_neutral > 0.0 ) THEN |
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274 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
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275 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
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276 | ELSE |
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277 | dvdx = 0.0 |
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278 | dwdx = 0.0 |
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279 | ENDIF |
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280 | ELSE |
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281 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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282 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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283 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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284 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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285 | ENDIF |
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286 | |
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287 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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288 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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289 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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290 | |
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291 | IF ( def < 0.0 ) def = 0.0 |
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292 | |
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293 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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294 | |
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295 | |
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296 | ! |
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297 | !-- (3) - will be executed only, if there is at least one level |
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298 | !-- between (2) and (4), i.e. the topography must have a |
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299 | !-- minimum height of 2 dz. Wall fluxes for this case have |
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300 | !-- already been calculated for (2). |
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301 | !-- 'wall only: use wall functions' |
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302 | |
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303 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
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304 | |
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305 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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306 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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307 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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308 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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309 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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310 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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311 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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312 | |
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313 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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314 | ! |
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315 | !-- Inconsistency removed: as the thermal stratification |
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316 | !-- is not taken into account for the evaluation of the |
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317 | !-- wall fluxes at vertical walls, the eddy viscosity km |
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318 | !-- must not be used for the evaluation of the velocity |
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319 | !-- gradients dudy and dwdy |
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320 | !-- Note: The validity of the new method has not yet |
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321 | !-- been shown, as so far no suitable data for a |
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322 | !-- validation has been available |
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323 | km_neutral = kappa * ( usvs(k)**2 + & |
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324 | wsvs(k)**2 )**0.25 * 0.5 * dy |
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325 | IF ( km_neutral > 0.0 ) THEN |
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326 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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327 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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328 | ELSE |
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329 | dudy = 0.0 |
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330 | dwdy = 0.0 |
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331 | ENDIF |
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332 | ELSE |
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333 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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334 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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335 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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336 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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337 | ENDIF |
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338 | |
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339 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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340 | ! |
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341 | !-- Inconsistency removed: as the thermal stratification |
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342 | !-- is not taken into account for the evaluation of the |
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343 | !-- wall fluxes at vertical walls, the eddy viscosity km |
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344 | !-- must not be used for the evaluation of the velocity |
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345 | !-- gradients dvdx and dwdx |
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346 | !-- Note: The validity of the new method has not yet |
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347 | !-- been shown, as so far no suitable data for a |
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348 | !-- validation has been available |
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349 | km_neutral = kappa * ( vsus(k)**2 + & |
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350 | wsus(k)**2 )**0.25 * 0.5 * dx |
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351 | IF ( km_neutral > 0.0 ) THEN |
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352 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
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353 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
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354 | ELSE |
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355 | dvdx = 0.0 |
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356 | dwdx = 0.0 |
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357 | ENDIF |
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358 | ELSE |
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359 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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360 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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361 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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362 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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363 | ENDIF |
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364 | |
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365 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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366 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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367 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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368 | |
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369 | IF ( def < 0.0 ) def = 0.0 |
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370 | |
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371 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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372 | |
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373 | ENDDO |
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374 | |
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375 | ENDIF |
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376 | |
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377 | ENDDO |
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378 | |
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379 | ! |
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380 | !-- (4) - will allways be executed. |
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381 | !-- 'special case: free atmosphere' (as for case (0)) |
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382 | DO j = nys, nyn |
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383 | |
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384 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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385 | THEN |
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386 | |
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387 | k = nzb_diff_s_outer(j,i)-1 |
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388 | |
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389 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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390 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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391 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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392 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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393 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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394 | |
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395 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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396 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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397 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
398 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
399 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
400 | |
---|
401 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
402 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
403 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
404 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
405 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
406 | |
---|
407 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
408 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
409 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
410 | |
---|
411 | IF ( def < 0.0 ) def = 0.0 |
---|
412 | |
---|
413 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
414 | |
---|
415 | ENDIF |
---|
416 | |
---|
417 | ENDDO |
---|
418 | |
---|
419 | ! |
---|
420 | !-- Position without adjacent wall |
---|
421 | !-- (1) - will allways be executed. |
---|
422 | !-- 'bottom only: use u_0,v_0' |
---|
423 | DO j = nys, nyn |
---|
424 | |
---|
425 | IF ( ( wall_e_x(j,i) == 0.0 ) .AND. ( wall_e_y(j,i) == 0.0 ) ) & |
---|
426 | THEN |
---|
427 | |
---|
428 | k = nzb_diff_s_inner(j,i)-1 |
---|
429 | |
---|
430 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
431 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
432 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
433 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
434 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
435 | |
---|
436 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
437 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
438 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
439 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
440 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
441 | |
---|
442 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
443 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
444 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
445 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
446 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
447 | |
---|
448 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
449 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
450 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
451 | |
---|
452 | IF ( def < 0.0 ) def = 0.0 |
---|
453 | |
---|
454 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
455 | |
---|
456 | ENDIF |
---|
457 | |
---|
458 | ENDDO |
---|
459 | |
---|
460 | ELSEIF ( use_surface_fluxes ) THEN |
---|
461 | |
---|
462 | DO j = nys, nyn |
---|
463 | |
---|
464 | k = nzb_diff_s_outer(j,i)-1 |
---|
465 | |
---|
466 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
467 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
468 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
469 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
470 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
471 | |
---|
472 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
473 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
474 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
475 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
476 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
477 | |
---|
478 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
479 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
480 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
481 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
482 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
483 | |
---|
484 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
485 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
486 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
487 | |
---|
488 | IF ( def < 0.0 ) def = 0.0 |
---|
489 | |
---|
490 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
491 | |
---|
492 | ENDDO |
---|
493 | |
---|
494 | ENDIF |
---|
495 | |
---|
496 | ! |
---|
497 | !-- If required, calculate TKE production by buoyancy |
---|
498 | IF ( .NOT. neutral ) THEN |
---|
499 | |
---|
500 | IF ( .NOT. humidity ) THEN |
---|
501 | |
---|
502 | IF ( use_single_reference_value ) THEN |
---|
503 | |
---|
504 | IF ( ocean ) THEN |
---|
505 | ! |
---|
506 | !-- So far in the ocean no special treatment of density flux |
---|
507 | !-- in the bottom and top surface layer |
---|
508 | DO j = nys, nyn |
---|
509 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
510 | tend(k,j,i) = tend(k,j,i) + & |
---|
511 | kh(k,j,i) * g / rho_reference * & |
---|
512 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
---|
513 | dd2zu(k) |
---|
514 | ENDDO |
---|
515 | ENDDO |
---|
516 | |
---|
517 | ELSE |
---|
518 | |
---|
519 | DO j = nys, nyn |
---|
520 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
521 | tend(k,j,i) = tend(k,j,i) - & |
---|
522 | kh(k,j,i) * g / pt_reference * & |
---|
523 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
524 | dd2zu(k) |
---|
525 | ENDDO |
---|
526 | |
---|
527 | IF ( use_surface_fluxes ) THEN |
---|
528 | k = nzb_diff_s_inner(j,i)-1 |
---|
529 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
530 | shf(j,i) |
---|
531 | ENDIF |
---|
532 | |
---|
533 | IF ( use_top_fluxes ) THEN |
---|
534 | k = nzt |
---|
535 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
536 | tswst(j,i) |
---|
537 | ENDIF |
---|
538 | ENDDO |
---|
539 | |
---|
540 | ENDIF |
---|
541 | |
---|
542 | ELSE |
---|
543 | |
---|
544 | IF ( ocean ) THEN |
---|
545 | ! |
---|
546 | !-- So far in the ocean no special treatment of density flux |
---|
547 | !-- in the bottom and top surface layer |
---|
548 | DO j = nys, nyn |
---|
549 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
550 | tend(k,j,i) = tend(k,j,i) + & |
---|
551 | kh(k,j,i) * g / rho(k,j,i) * & |
---|
552 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
---|
553 | dd2zu(k) |
---|
554 | ENDDO |
---|
555 | ENDDO |
---|
556 | |
---|
557 | ELSE |
---|
558 | |
---|
559 | DO j = nys, nyn |
---|
560 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
561 | tend(k,j,i) = tend(k,j,i) - & |
---|
562 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
563 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
564 | dd2zu(k) |
---|
565 | ENDDO |
---|
566 | |
---|
567 | IF ( use_surface_fluxes ) THEN |
---|
568 | k = nzb_diff_s_inner(j,i)-1 |
---|
569 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
570 | shf(j,i) |
---|
571 | ENDIF |
---|
572 | |
---|
573 | IF ( use_top_fluxes ) THEN |
---|
574 | k = nzt |
---|
575 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
576 | tswst(j,i) |
---|
577 | ENDIF |
---|
578 | ENDDO |
---|
579 | |
---|
580 | ENDIF |
---|
581 | |
---|
582 | ENDIF |
---|
583 | |
---|
584 | ELSE |
---|
585 | |
---|
586 | DO j = nys, nyn |
---|
587 | |
---|
588 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
589 | |
---|
590 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
591 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
592 | k2 = 0.61 * pt(k,j,i) |
---|
593 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
594 | g / vpt(k,j,i) * & |
---|
595 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
596 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
597 | ) * dd2zu(k) |
---|
598 | ELSE IF ( cloud_physics ) THEN |
---|
599 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
600 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
601 | k2 = 0.61 * pt(k,j,i) |
---|
602 | ELSE |
---|
603 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
604 | temp = theta * t_d_pt(k) |
---|
605 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
606 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
607 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
608 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
609 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
610 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
611 | ENDIF |
---|
612 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
613 | g / vpt(k,j,i) * & |
---|
614 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
615 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
616 | ) * dd2zu(k) |
---|
617 | ELSE IF ( cloud_droplets ) THEN |
---|
618 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
619 | k2 = 0.61 * pt(k,j,i) |
---|
620 | tend(k,j,i) = tend(k,j,i) - & |
---|
621 | kh(k,j,i) * g / vpt(k,j,i) * & |
---|
622 | ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
---|
623 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
624 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
625 | ql(k-1,j,i) ) ) * dd2zu(k) |
---|
626 | ENDIF |
---|
627 | |
---|
628 | ENDDO |
---|
629 | |
---|
630 | ENDDO |
---|
631 | |
---|
632 | IF ( use_surface_fluxes ) THEN |
---|
633 | |
---|
634 | DO j = nys, nyn |
---|
635 | |
---|
636 | k = nzb_diff_s_inner(j,i)-1 |
---|
637 | |
---|
638 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
639 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
640 | k2 = 0.61 * pt(k,j,i) |
---|
641 | ELSE IF ( cloud_physics ) THEN |
---|
642 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
643 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
644 | k2 = 0.61 * pt(k,j,i) |
---|
645 | ELSE |
---|
646 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
647 | temp = theta * t_d_pt(k) |
---|
648 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
649 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
650 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
651 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
652 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
653 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
654 | ENDIF |
---|
655 | ELSE IF ( cloud_droplets ) THEN |
---|
656 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
657 | k2 = 0.61 * pt(k,j,i) |
---|
658 | ENDIF |
---|
659 | |
---|
660 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
661 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
662 | ENDDO |
---|
663 | |
---|
664 | ENDIF |
---|
665 | |
---|
666 | IF ( use_top_fluxes ) THEN |
---|
667 | |
---|
668 | DO j = nys, nyn |
---|
669 | |
---|
670 | k = nzt |
---|
671 | |
---|
672 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
673 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
674 | k2 = 0.61 * pt(k,j,i) |
---|
675 | ELSE IF ( cloud_physics ) THEN |
---|
676 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
677 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
678 | k2 = 0.61 * pt(k,j,i) |
---|
679 | ELSE |
---|
680 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
681 | temp = theta * t_d_pt(k) |
---|
682 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
683 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
684 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
685 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
686 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
687 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
688 | ENDIF |
---|
689 | ELSE IF ( cloud_droplets ) THEN |
---|
690 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
691 | k2 = 0.61 * pt(k,j,i) |
---|
692 | ENDIF |
---|
693 | |
---|
694 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
695 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
696 | ENDDO |
---|
697 | |
---|
698 | ENDIF |
---|
699 | |
---|
700 | ENDIF |
---|
701 | |
---|
702 | ENDIF |
---|
703 | |
---|
704 | ENDDO |
---|
705 | |
---|
706 | END SUBROUTINE production_e |
---|
707 | |
---|
708 | |
---|
709 | !------------------------------------------------------------------------------! |
---|
710 | ! Call for all grid points - accelerator version |
---|
711 | !------------------------------------------------------------------------------! |
---|
712 | SUBROUTINE production_e_acc |
---|
713 | |
---|
714 | USE arrays_3d |
---|
715 | USE cloud_parameters |
---|
716 | USE control_parameters |
---|
717 | USE grid_variables |
---|
718 | USE indices |
---|
719 | USE statistics |
---|
720 | |
---|
721 | IMPLICIT NONE |
---|
722 | |
---|
723 | INTEGER :: i, j, k |
---|
724 | |
---|
725 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
---|
726 | k1, k2, km_neutral, theta, temp |
---|
727 | |
---|
728 | !$acc declare create ( usvs, vsus, wsus, wsvs ) |
---|
729 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs |
---|
730 | ! REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
---|
731 | |
---|
732 | ! |
---|
733 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
---|
734 | !-- vertical walls, if neccessary |
---|
735 | !-- CAUTION: results are slightly different from the ij-version!! |
---|
736 | !-- ij-version should be called further below within the ij-loops!! |
---|
737 | IF ( topography /= 'flat' ) THEN |
---|
738 | CALL wall_fluxes_e_acc( usvs, 1.0, 0.0, 0.0, 0.0, wall_e_y ) |
---|
739 | CALL wall_fluxes_e_acc( wsvs, 0.0, 0.0, 1.0, 0.0, wall_e_y ) |
---|
740 | CALL wall_fluxes_e_acc( vsus, 0.0, 1.0, 0.0, 0.0, wall_e_x ) |
---|
741 | CALL wall_fluxes_e_acc( wsus, 0.0, 0.0, 0.0, 1.0, wall_e_x ) |
---|
742 | ENDIF |
---|
743 | |
---|
744 | |
---|
745 | ! |
---|
746 | !-- Calculate TKE production by shear |
---|
747 | !$acc kernels present( ddzw, dd2zu, kh, km, nzb_diff_s_inner, nzb_diff_s_outer ) & |
---|
748 | !$acc present( nzb_s_inner, nzb_s_outer, pt, q, ql, qsws, qswst, rho ) & |
---|
749 | !$acc present( shf, tend, tswst, u, v, vpt, w, wall_e_x, wall_e_y ) & |
---|
750 | !$acc copyin( u_0, v_0 ) |
---|
751 | !$acc loop |
---|
752 | DO i = i_left, i_right |
---|
753 | DO j = j_south, j_north |
---|
754 | !$acc loop vector( 32 ) |
---|
755 | DO k = 1, nzt |
---|
756 | |
---|
757 | IF ( k >= nzb_diff_s_outer(j,i) ) THEN |
---|
758 | |
---|
759 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
760 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
761 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
762 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
763 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
764 | |
---|
765 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
766 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
767 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
768 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
769 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
770 | |
---|
771 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
772 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
773 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
774 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
775 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
776 | |
---|
777 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
778 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
779 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
780 | |
---|
781 | IF ( def < 0.0 ) def = 0.0 |
---|
782 | |
---|
783 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
784 | |
---|
785 | ENDIF |
---|
786 | |
---|
787 | ENDDO |
---|
788 | ENDDO |
---|
789 | ENDDO |
---|
790 | |
---|
791 | IF ( prandtl_layer ) THEN |
---|
792 | |
---|
793 | ! |
---|
794 | !-- Position beneath wall |
---|
795 | !-- (2) - Will allways be executed. |
---|
796 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
---|
797 | !$acc loop |
---|
798 | DO i = i_left, i_right |
---|
799 | DO j = j_south, j_north |
---|
800 | !$acc loop vector( 32 ) |
---|
801 | DO k = 1, nzt |
---|
802 | |
---|
803 | IF ( ( wall_e_x(j,i) /= 0.0 ).OR.( wall_e_y(j,i) /= 0.0 ) ) & |
---|
804 | THEN |
---|
805 | |
---|
806 | IF ( k == nzb_diff_s_inner(j,i) - 1 ) THEN |
---|
807 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
808 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
809 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
810 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
811 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
812 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
813 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
814 | |
---|
815 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
816 | ! |
---|
817 | !-- Inconsistency removed: as the thermal stratification is |
---|
818 | !-- not taken into account for the evaluation of the wall |
---|
819 | !-- fluxes at vertical walls, the eddy viscosity km must not |
---|
820 | !-- be used for the evaluation of the velocity gradients dudy |
---|
821 | !-- and dwdy |
---|
822 | !-- Note: The validity of the new method has not yet been |
---|
823 | !-- shown, as so far no suitable data for a validation |
---|
824 | !-- has been available |
---|
825 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
826 | ! usvs, 1.0, 0.0, 0.0, 0.0 ) |
---|
827 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
828 | ! wsvs, 0.0, 0.0, 1.0, 0.0 ) |
---|
829 | km_neutral = kappa * & |
---|
830 | ( usvs(k,j,i)**2 + wsvs(k,j,i)**2 )**0.25 * & |
---|
831 | 0.5 * dy |
---|
832 | IF ( km_neutral > 0.0 ) THEN |
---|
833 | dudy = - wall_e_y(j,i) * usvs(k,j,i) / km_neutral |
---|
834 | dwdy = - wall_e_y(j,i) * wsvs(k,j,i) / km_neutral |
---|
835 | ELSE |
---|
836 | dudy = 0.0 |
---|
837 | dwdy = 0.0 |
---|
838 | ENDIF |
---|
839 | ELSE |
---|
840 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
841 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
842 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
843 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
844 | ENDIF |
---|
845 | |
---|
846 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
847 | ! |
---|
848 | !-- Inconsistency removed: as the thermal stratification is |
---|
849 | !-- not taken into account for the evaluation of the wall |
---|
850 | !-- fluxes at vertical walls, the eddy viscosity km must not |
---|
851 | !-- be used for the evaluation of the velocity gradients dvdx |
---|
852 | !-- and dwdx |
---|
853 | !-- Note: The validity of the new method has not yet been |
---|
854 | !-- shown, as so far no suitable data for a validation |
---|
855 | !-- has been available |
---|
856 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
857 | ! vsus, 0.0, 1.0, 0.0, 0.0 ) |
---|
858 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
859 | ! wsus, 0.0, 0.0, 0.0, 1.0 ) |
---|
860 | km_neutral = kappa * & |
---|
861 | ( vsus(k,j,i)**2 + wsus(k,j,i)**2 )**0.25 * & |
---|
862 | 0.5 * dx |
---|
863 | IF ( km_neutral > 0.0 ) THEN |
---|
864 | dvdx = - wall_e_x(j,i) * vsus(k,j,i) / km_neutral |
---|
865 | dwdx = - wall_e_x(j,i) * wsus(k,j,i) / km_neutral |
---|
866 | ELSE |
---|
867 | dvdx = 0.0 |
---|
868 | dwdx = 0.0 |
---|
869 | ENDIF |
---|
870 | ELSE |
---|
871 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
872 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
873 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
874 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
875 | ENDIF |
---|
876 | |
---|
877 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
878 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
879 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
880 | |
---|
881 | IF ( def < 0.0 ) def = 0.0 |
---|
882 | |
---|
883 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
884 | |
---|
885 | ENDIF |
---|
886 | ! |
---|
887 | !-- (3) - will be executed only, if there is at least one level |
---|
888 | !-- between (2) and (4), i.e. the topography must have a |
---|
889 | !-- minimum height of 2 dz. Wall fluxes for this case have |
---|
890 | !-- already been calculated for (2). |
---|
891 | !-- 'wall only: use wall functions' |
---|
892 | |
---|
893 | IF ( k >= nzb_diff_s_inner(j,i) .AND. & |
---|
894 | k <= nzb_diff_s_outer(j,i)-2 ) THEN |
---|
895 | |
---|
896 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
897 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
898 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
899 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
900 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
901 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
902 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
903 | |
---|
904 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
905 | ! |
---|
906 | !-- Inconsistency removed: as the thermal stratification |
---|
907 | !-- is not taken into account for the evaluation of the |
---|
908 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
909 | !-- must not be used for the evaluation of the velocity |
---|
910 | !-- gradients dudy and dwdy |
---|
911 | !-- Note: The validity of the new method has not yet |
---|
912 | !-- been shown, as so far no suitable data for a |
---|
913 | !-- validation has been available |
---|
914 | km_neutral = kappa * ( usvs(k,j,i)**2 + & |
---|
915 | wsvs(k,j,i)**2 )**0.25 * 0.5 * dy |
---|
916 | IF ( km_neutral > 0.0 ) THEN |
---|
917 | dudy = - wall_e_y(j,i) * usvs(k,j,i) / km_neutral |
---|
918 | dwdy = - wall_e_y(j,i) * wsvs(k,j,i) / km_neutral |
---|
919 | ELSE |
---|
920 | dudy = 0.0 |
---|
921 | dwdy = 0.0 |
---|
922 | ENDIF |
---|
923 | ELSE |
---|
924 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
925 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
926 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
927 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
928 | ENDIF |
---|
929 | |
---|
930 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
931 | ! |
---|
932 | !-- Inconsistency removed: as the thermal stratification |
---|
933 | !-- is not taken into account for the evaluation of the |
---|
934 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
935 | !-- must not be used for the evaluation of the velocity |
---|
936 | !-- gradients dvdx and dwdx |
---|
937 | !-- Note: The validity of the new method has not yet |
---|
938 | !-- been shown, as so far no suitable data for a |
---|
939 | !-- validation has been available |
---|
940 | km_neutral = kappa * ( vsus(k,j,i)**2 + & |
---|
941 | wsus(k,j,i)**2 )**0.25 * 0.5 * dx |
---|
942 | IF ( km_neutral > 0.0 ) THEN |
---|
943 | dvdx = - wall_e_x(j,i) * vsus(k,j,i) / km_neutral |
---|
944 | dwdx = - wall_e_x(j,i) * wsus(k,j,i) / km_neutral |
---|
945 | ELSE |
---|
946 | dvdx = 0.0 |
---|
947 | dwdx = 0.0 |
---|
948 | ENDIF |
---|
949 | ELSE |
---|
950 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
951 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
952 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
953 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
954 | ENDIF |
---|
955 | |
---|
956 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
957 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
958 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
959 | |
---|
960 | IF ( def < 0.0 ) def = 0.0 |
---|
961 | |
---|
962 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
963 | |
---|
964 | ENDIF |
---|
965 | |
---|
966 | ! |
---|
967 | !-- (4) - will allways be executed. |
---|
968 | !-- 'special case: free atmosphere' (as for case (0)) |
---|
969 | IF ( k == nzb_diff_s_outer(j,i)-1 ) THEN |
---|
970 | |
---|
971 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
972 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
973 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
974 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
975 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
976 | |
---|
977 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
978 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
979 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
980 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
981 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
982 | |
---|
983 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
984 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
985 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
986 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
987 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
988 | |
---|
989 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
990 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
991 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
992 | |
---|
993 | IF ( def < 0.0 ) def = 0.0 |
---|
994 | |
---|
995 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
996 | |
---|
997 | ENDIF |
---|
998 | |
---|
999 | ENDIF |
---|
1000 | |
---|
1001 | ENDDO |
---|
1002 | ENDDO |
---|
1003 | ENDDO |
---|
1004 | |
---|
1005 | ! |
---|
1006 | !-- Position without adjacent wall |
---|
1007 | !-- (1) - will allways be executed. |
---|
1008 | !-- 'bottom only: use u_0,v_0' |
---|
1009 | !$acc loop |
---|
1010 | DO i = i_left, i_right |
---|
1011 | DO j = j_south, j_north |
---|
1012 | !$acc loop vector( 32 ) |
---|
1013 | DO k = 1, nzt |
---|
1014 | |
---|
1015 | IF ( ( wall_e_x(j,i) == 0.0 ) .AND. ( wall_e_y(j,i) == 0.0 ) ) & |
---|
1016 | THEN |
---|
1017 | |
---|
1018 | IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
---|
1019 | |
---|
1020 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1021 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1022 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1023 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1024 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
1025 | |
---|
1026 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1027 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1028 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1029 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1030 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
1031 | |
---|
1032 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1033 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1034 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1035 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1036 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1037 | |
---|
1038 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1039 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1040 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1041 | |
---|
1042 | IF ( def < 0.0 ) def = 0.0 |
---|
1043 | |
---|
1044 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1045 | |
---|
1046 | ENDIF |
---|
1047 | |
---|
1048 | ENDIF |
---|
1049 | |
---|
1050 | ENDDO |
---|
1051 | ENDDO |
---|
1052 | ENDDO |
---|
1053 | |
---|
1054 | ELSEIF ( use_surface_fluxes ) THEN |
---|
1055 | |
---|
1056 | !$acc loop |
---|
1057 | DO i = i_left, i_right |
---|
1058 | DO j = j_south, j_north |
---|
1059 | !$acc loop vector(32) |
---|
1060 | DO k = 1, nzt |
---|
1061 | |
---|
1062 | IF ( k == nzb_diff_s_outer(j,i)-1 ) THEN |
---|
1063 | |
---|
1064 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1065 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1066 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1067 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1068 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1069 | |
---|
1070 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1071 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1072 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1073 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1074 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1075 | |
---|
1076 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1077 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1078 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1079 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1080 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1081 | |
---|
1082 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1083 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1084 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1085 | |
---|
1086 | IF ( def < 0.0 ) def = 0.0 |
---|
1087 | |
---|
1088 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1089 | |
---|
1090 | ENDIF |
---|
1091 | |
---|
1092 | ENDDO |
---|
1093 | ENDDO |
---|
1094 | ENDDO |
---|
1095 | |
---|
1096 | ENDIF |
---|
1097 | |
---|
1098 | ! |
---|
1099 | !-- If required, calculate TKE production by buoyancy |
---|
1100 | IF ( .NOT. neutral ) THEN |
---|
1101 | |
---|
1102 | IF ( .NOT. humidity ) THEN |
---|
1103 | |
---|
1104 | IF ( use_single_reference_value ) THEN |
---|
1105 | |
---|
1106 | IF ( ocean ) THEN |
---|
1107 | ! |
---|
1108 | !-- So far in the ocean no special treatment of density flux |
---|
1109 | !-- in the bottom and top surface layer |
---|
1110 | !$acc loop |
---|
1111 | DO i = i_left, i_right |
---|
1112 | DO j = j_south, j_north |
---|
1113 | !$acc loop vector( 32 ) |
---|
1114 | DO k = 1, nzt |
---|
1115 | IF ( k > nzb_s_inner(j,i) ) THEN |
---|
1116 | tend(k,j,i) = tend(k,j,i) + & |
---|
1117 | kh(k,j,i) * g / rho_reference * & |
---|
1118 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
---|
1119 | dd2zu(k) |
---|
1120 | ENDIF |
---|
1121 | ENDDO |
---|
1122 | ENDDO |
---|
1123 | ENDDO |
---|
1124 | |
---|
1125 | ELSE |
---|
1126 | |
---|
1127 | !$acc loop |
---|
1128 | DO i = i_left, i_right |
---|
1129 | DO j = j_south, j_north |
---|
1130 | !$acc loop vector( 32 ) |
---|
1131 | DO k = 1, nzt_diff |
---|
1132 | IF ( k >= nzb_diff_s_inner(j,i) ) THEN |
---|
1133 | tend(k,j,i) = tend(k,j,i) - & |
---|
1134 | kh(k,j,i) * g / pt_reference * & |
---|
1135 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
1136 | dd2zu(k) |
---|
1137 | ENDIF |
---|
1138 | |
---|
1139 | IF ( k == nzb_diff_s_inner(j,i)-1 .AND. & |
---|
1140 | use_surface_fluxes ) THEN |
---|
1141 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
1142 | shf(j,i) |
---|
1143 | ENDIF |
---|
1144 | |
---|
1145 | IF ( k == nzt .AND. use_top_fluxes ) THEN |
---|
1146 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
1147 | tswst(j,i) |
---|
1148 | ENDIF |
---|
1149 | ENDDO |
---|
1150 | ENDDO |
---|
1151 | ENDDO |
---|
1152 | |
---|
1153 | ENDIF |
---|
1154 | |
---|
1155 | ELSE |
---|
1156 | |
---|
1157 | IF ( ocean ) THEN |
---|
1158 | ! |
---|
1159 | !-- So far in the ocean no special treatment of density flux |
---|
1160 | !-- in the bottom and top surface layer |
---|
1161 | !$acc loop |
---|
1162 | DO i = i_left, i_right |
---|
1163 | DO j = j_south, j_north |
---|
1164 | !$acc loop vector( 32 ) |
---|
1165 | DO k = 1, nzt |
---|
1166 | IF ( k > nzb_s_inner(j,i) ) THEN |
---|
1167 | tend(k,j,i) = tend(k,j,i) + & |
---|
1168 | kh(k,j,i) * g / rho(k,j,i) * & |
---|
1169 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
---|
1170 | dd2zu(k) |
---|
1171 | ENDIF |
---|
1172 | ENDDO |
---|
1173 | ENDDO |
---|
1174 | ENDDO |
---|
1175 | |
---|
1176 | ELSE |
---|
1177 | |
---|
1178 | !$acc loop |
---|
1179 | DO i = i_left, i_right |
---|
1180 | DO j = j_south, j_north |
---|
1181 | !$acc loop vector( 32 ) |
---|
1182 | DO k = 1, nzt_diff |
---|
1183 | IF( k >= nzb_diff_s_inner(j,i) ) THEN |
---|
1184 | tend(k,j,i) = tend(k,j,i) - & |
---|
1185 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
1186 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
1187 | dd2zu(k) |
---|
1188 | ENDIF |
---|
1189 | |
---|
1190 | IF ( k == nzb_diff_s_inner(j,i)-1 .AND. & |
---|
1191 | use_surface_fluxes ) THEN |
---|
1192 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
1193 | shf(j,i) |
---|
1194 | ENDIF |
---|
1195 | |
---|
1196 | IF ( k == nzt .AND. use_top_fluxes ) THEN |
---|
1197 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
1198 | tswst(j,i) |
---|
1199 | ENDIF |
---|
1200 | ENDDO |
---|
1201 | ENDDO |
---|
1202 | ENDDO |
---|
1203 | |
---|
1204 | ENDIF |
---|
1205 | |
---|
1206 | ENDIF |
---|
1207 | |
---|
1208 | ELSE |
---|
1209 | ! |
---|
1210 | !++ This part gives the PGI compiler problems in the previous loop |
---|
1211 | !++ even without any acc statements???? |
---|
1212 | ! STOP '+++ production_e problems with acc-directives' |
---|
1213 | ! !acc loop |
---|
1214 | ! DO i = nxl, nxr |
---|
1215 | ! DO j = nys, nyn |
---|
1216 | ! !acc loop vector( 32 ) |
---|
1217 | ! DO k = 1, nzt_diff |
---|
1218 | ! |
---|
1219 | ! IF ( k >= nzb_diff_s_inner(j,i) ) THEN |
---|
1220 | ! |
---|
1221 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1222 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1223 | ! k2 = 0.61 * pt(k,j,i) |
---|
1224 | ! tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
1225 | ! g / vpt(k,j,i) * & |
---|
1226 | ! ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1227 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1228 | ! ) * dd2zu(k) |
---|
1229 | ! ELSE IF ( cloud_physics ) THEN |
---|
1230 | ! IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1231 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1232 | ! k2 = 0.61 * pt(k,j,i) |
---|
1233 | ! ELSE |
---|
1234 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1235 | ! temp = theta * t_d_pt(k) |
---|
1236 | ! k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1237 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1238 | ! ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1239 | ! ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1240 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1241 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1242 | ! ENDIF |
---|
1243 | ! tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
1244 | ! g / vpt(k,j,i) * & |
---|
1245 | ! ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1246 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1247 | ! ) * dd2zu(k) |
---|
1248 | ! ELSE IF ( cloud_droplets ) THEN |
---|
1249 | ! k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1250 | ! k2 = 0.61 * pt(k,j,i) |
---|
1251 | ! tend(k,j,i) = tend(k,j,i) - & |
---|
1252 | ! kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1253 | ! ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
---|
1254 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
1255 | ! pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
1256 | ! ql(k-1,j,i) ) ) * dd2zu(k) |
---|
1257 | ! ENDIF |
---|
1258 | ! |
---|
1259 | ! ENDIF |
---|
1260 | ! |
---|
1261 | ! ENDDO |
---|
1262 | ! ENDDO |
---|
1263 | ! ENDDO |
---|
1264 | ! |
---|
1265 | |
---|
1266 | !!++ Next two loops are probably very inefficiently parallellized |
---|
1267 | !!++ and will require better optimization |
---|
1268 | ! IF ( use_surface_fluxes ) THEN |
---|
1269 | ! |
---|
1270 | ! !acc loop |
---|
1271 | ! DO i = nxl, nxr |
---|
1272 | ! DO j = nys, nyn |
---|
1273 | ! !acc loop vector( 32 ) |
---|
1274 | ! DO k = 1, nzt_diff |
---|
1275 | ! |
---|
1276 | ! IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
---|
1277 | ! |
---|
1278 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1279 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1280 | ! k2 = 0.61 * pt(k,j,i) |
---|
1281 | ! ELSE IF ( cloud_physics ) THEN |
---|
1282 | ! IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1283 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1284 | ! k2 = 0.61 * pt(k,j,i) |
---|
1285 | ! ELSE |
---|
1286 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1287 | ! temp = theta * t_d_pt(k) |
---|
1288 | ! k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1289 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1290 | ! ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1291 | ! ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1292 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1293 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1294 | ! ENDIF |
---|
1295 | ! ELSE IF ( cloud_droplets ) THEN |
---|
1296 | ! k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1297 | ! k2 = 0.61 * pt(k,j,i) |
---|
1298 | ! ENDIF |
---|
1299 | ! |
---|
1300 | ! tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1301 | ! ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
1302 | ! ENDIF |
---|
1303 | ! |
---|
1304 | ! ENDDO |
---|
1305 | ! ENDDO |
---|
1306 | ! ENDDO |
---|
1307 | ! |
---|
1308 | ! ENDIF |
---|
1309 | ! |
---|
1310 | ! IF ( use_top_fluxes ) THEN |
---|
1311 | ! |
---|
1312 | ! !acc loop |
---|
1313 | ! DO i = nxl, nxr |
---|
1314 | ! DO j = nys, nyn |
---|
1315 | ! !acc loop vector( 32 ) |
---|
1316 | ! DO k = 1, nzt |
---|
1317 | ! IF ( k == nzt ) THEN |
---|
1318 | ! |
---|
1319 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1320 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1321 | ! k2 = 0.61 * pt(k,j,i) |
---|
1322 | ! ELSE IF ( cloud_physics ) THEN |
---|
1323 | ! IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1324 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1325 | ! k2 = 0.61 * pt(k,j,i) |
---|
1326 | ! ELSE |
---|
1327 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1328 | ! temp = theta * t_d_pt(k) |
---|
1329 | ! k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1330 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1331 | ! ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1332 | ! ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1333 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1334 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1335 | ! ENDIF |
---|
1336 | ! ELSE IF ( cloud_droplets ) THEN |
---|
1337 | ! k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1338 | ! k2 = 0.61 * pt(k,j,i) |
---|
1339 | ! ENDIF |
---|
1340 | ! |
---|
1341 | ! tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1342 | ! ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
1343 | ! |
---|
1344 | ! ENDIF |
---|
1345 | ! |
---|
1346 | ! ENDDO |
---|
1347 | ! ENDDO |
---|
1348 | ! ENDDO |
---|
1349 | ! |
---|
1350 | ! ENDIF |
---|
1351 | |
---|
1352 | ENDIF |
---|
1353 | |
---|
1354 | ENDIF |
---|
1355 | !$acc end kernels |
---|
1356 | |
---|
1357 | END SUBROUTINE production_e_acc |
---|
1358 | |
---|
1359 | |
---|
1360 | !------------------------------------------------------------------------------! |
---|
1361 | ! Call for grid point i,j |
---|
1362 | !------------------------------------------------------------------------------! |
---|
1363 | SUBROUTINE production_e_ij( i, j ) |
---|
1364 | |
---|
1365 | USE arrays_3d |
---|
1366 | USE cloud_parameters |
---|
1367 | USE control_parameters |
---|
1368 | USE grid_variables |
---|
1369 | USE indices |
---|
1370 | USE statistics |
---|
1371 | |
---|
1372 | IMPLICIT NONE |
---|
1373 | |
---|
1374 | INTEGER :: i, j, k |
---|
1375 | |
---|
1376 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
---|
1377 | k1, k2, km_neutral, theta, temp |
---|
1378 | |
---|
1379 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
---|
1380 | |
---|
1381 | ! |
---|
1382 | !-- Calculate TKE production by shear |
---|
1383 | DO k = nzb_diff_s_outer(j,i), nzt |
---|
1384 | |
---|
1385 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1386 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1387 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1388 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1389 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1390 | |
---|
1391 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1392 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1393 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1394 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1395 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1396 | |
---|
1397 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1398 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1399 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1400 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1401 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1402 | |
---|
1403 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
1404 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
1405 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1406 | |
---|
1407 | IF ( def < 0.0 ) def = 0.0 |
---|
1408 | |
---|
1409 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1410 | |
---|
1411 | ENDDO |
---|
1412 | |
---|
1413 | IF ( prandtl_layer ) THEN |
---|
1414 | |
---|
1415 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) THEN |
---|
1416 | |
---|
1417 | ! |
---|
1418 | !-- Position beneath wall |
---|
1419 | !-- (2) - Will allways be executed. |
---|
1420 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
---|
1421 | k = nzb_diff_s_inner(j,i)-1 |
---|
1422 | |
---|
1423 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1424 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1425 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
1426 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1427 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1428 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
1429 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1430 | |
---|
1431 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
1432 | ! |
---|
1433 | !-- Inconsistency removed: as the thermal stratification |
---|
1434 | !-- is not taken into account for the evaluation of the |
---|
1435 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
1436 | !-- must not be used for the evaluation of the velocity |
---|
1437 | !-- gradients dudy and dwdy |
---|
1438 | !-- Note: The validity of the new method has not yet |
---|
1439 | !-- been shown, as so far no suitable data for a |
---|
1440 | !-- validation has been available |
---|
1441 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
1442 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
---|
1443 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
1444 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
---|
1445 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25 * & |
---|
1446 | 0.5 * dy |
---|
1447 | IF ( km_neutral > 0.0 ) THEN |
---|
1448 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
1449 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
1450 | ELSE |
---|
1451 | dudy = 0.0 |
---|
1452 | dwdy = 0.0 |
---|
1453 | ENDIF |
---|
1454 | ELSE |
---|
1455 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1456 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1457 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1458 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1459 | ENDIF |
---|
1460 | |
---|
1461 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
1462 | ! |
---|
1463 | !-- Inconsistency removed: as the thermal stratification |
---|
1464 | !-- is not taken into account for the evaluation of the |
---|
1465 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
1466 | !-- must not be used for the evaluation of the velocity |
---|
1467 | !-- gradients dvdx and dwdx |
---|
1468 | !-- Note: The validity of the new method has not yet |
---|
1469 | !-- been shown, as so far no suitable data for a |
---|
1470 | !-- validation has been available |
---|
1471 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
1472 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
---|
1473 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
1474 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
---|
1475 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25 * & |
---|
1476 | 0.5 * dx |
---|
1477 | IF ( km_neutral > 0.0 ) THEN |
---|
1478 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
1479 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
1480 | ELSE |
---|
1481 | dvdx = 0.0 |
---|
1482 | dwdx = 0.0 |
---|
1483 | ENDIF |
---|
1484 | ELSE |
---|
1485 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1486 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1487 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1488 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1489 | ENDIF |
---|
1490 | |
---|
1491 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1492 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1493 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1494 | |
---|
1495 | IF ( def < 0.0 ) def = 0.0 |
---|
1496 | |
---|
1497 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1498 | |
---|
1499 | ! |
---|
1500 | !-- (3) - will be executed only, if there is at least one level |
---|
1501 | !-- between (2) and (4), i.e. the topography must have a |
---|
1502 | !-- minimum height of 2 dz. Wall fluxes for this case have |
---|
1503 | !-- already been calculated for (2). |
---|
1504 | !-- 'wall only: use wall functions' |
---|
1505 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
---|
1506 | |
---|
1507 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1508 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1509 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1510 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1511 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1512 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1513 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1514 | |
---|
1515 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
1516 | ! |
---|
1517 | !-- Inconsistency removed: as the thermal stratification |
---|
1518 | !-- is not taken into account for the evaluation of the |
---|
1519 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
1520 | !-- must not be used for the evaluation of the velocity |
---|
1521 | !-- gradients dudy and dwdy |
---|
1522 | !-- Note: The validity of the new method has not yet |
---|
1523 | !-- been shown, as so far no suitable data for a |
---|
1524 | !-- validation has been available |
---|
1525 | km_neutral = kappa * ( usvs(k)**2 + & |
---|
1526 | wsvs(k)**2 )**0.25 * 0.5 * dy |
---|
1527 | IF ( km_neutral > 0.0 ) THEN |
---|
1528 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
1529 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
1530 | ELSE |
---|
1531 | dudy = 0.0 |
---|
1532 | dwdy = 0.0 |
---|
1533 | ENDIF |
---|
1534 | ELSE |
---|
1535 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1536 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1537 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1538 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1539 | ENDIF |
---|
1540 | |
---|
1541 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
1542 | ! |
---|
1543 | !-- Inconsistency removed: as the thermal stratification |
---|
1544 | !-- is not taken into account for the evaluation of the |
---|
1545 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
1546 | !-- must not be used for the evaluation of the velocity |
---|
1547 | !-- gradients dvdx and dwdx |
---|
1548 | !-- Note: The validity of the new method has not yet |
---|
1549 | !-- been shown, as so far no suitable data for a |
---|
1550 | !-- validation has been available |
---|
1551 | km_neutral = kappa * ( vsus(k)**2 + & |
---|
1552 | wsus(k)**2 )**0.25 * 0.5 * dx |
---|
1553 | IF ( km_neutral > 0.0 ) THEN |
---|
1554 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
1555 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
1556 | ELSE |
---|
1557 | dvdx = 0.0 |
---|
1558 | dwdx = 0.0 |
---|
1559 | ENDIF |
---|
1560 | ELSE |
---|
1561 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1562 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1563 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1564 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1565 | ENDIF |
---|
1566 | |
---|
1567 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1568 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1569 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1570 | |
---|
1571 | IF ( def < 0.0 ) def = 0.0 |
---|
1572 | |
---|
1573 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1574 | |
---|
1575 | ENDDO |
---|
1576 | |
---|
1577 | ! |
---|
1578 | !-- (4) - will allways be executed. |
---|
1579 | !-- 'special case: free atmosphere' (as for case (0)) |
---|
1580 | k = nzb_diff_s_outer(j,i)-1 |
---|
1581 | |
---|
1582 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1583 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1584 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1585 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1586 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1587 | |
---|
1588 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1589 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1590 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1591 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1592 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1593 | |
---|
1594 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1595 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1596 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1597 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1598 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1599 | |
---|
1600 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1601 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1602 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1603 | |
---|
1604 | IF ( def < 0.0 ) def = 0.0 |
---|
1605 | |
---|
1606 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1607 | |
---|
1608 | ELSE |
---|
1609 | |
---|
1610 | ! |
---|
1611 | !-- Position without adjacent wall |
---|
1612 | !-- (1) - will allways be executed. |
---|
1613 | !-- 'bottom only: use u_0,v_0' |
---|
1614 | k = nzb_diff_s_inner(j,i)-1 |
---|
1615 | |
---|
1616 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1617 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1618 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1619 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1620 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
1621 | |
---|
1622 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1623 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1624 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1625 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1626 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
1627 | |
---|
1628 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1629 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1630 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1631 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1632 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1633 | |
---|
1634 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
1635 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
1636 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1637 | |
---|
1638 | IF ( def < 0.0 ) def = 0.0 |
---|
1639 | |
---|
1640 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1641 | |
---|
1642 | ENDIF |
---|
1643 | |
---|
1644 | ELSEIF ( use_surface_fluxes ) THEN |
---|
1645 | |
---|
1646 | k = nzb_diff_s_outer(j,i)-1 |
---|
1647 | |
---|
1648 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1649 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1650 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1651 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1652 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1653 | |
---|
1654 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1655 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1656 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1657 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1658 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1659 | |
---|
1660 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1661 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1662 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1663 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1664 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1665 | |
---|
1666 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1667 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1668 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1669 | |
---|
1670 | IF ( def < 0.0 ) def = 0.0 |
---|
1671 | |
---|
1672 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1673 | |
---|
1674 | ENDIF |
---|
1675 | |
---|
1676 | ! |
---|
1677 | !-- If required, calculate TKE production by buoyancy |
---|
1678 | IF ( .NOT. neutral ) THEN |
---|
1679 | |
---|
1680 | IF ( .NOT. humidity ) THEN |
---|
1681 | |
---|
1682 | IF ( use_single_reference_value ) THEN |
---|
1683 | |
---|
1684 | IF ( ocean ) THEN |
---|
1685 | ! |
---|
1686 | !-- So far in the ocean no special treatment of density flux in |
---|
1687 | !-- the bottom and top surface layer |
---|
1688 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1689 | tend(k,j,i) = tend(k,j,i) + & |
---|
1690 | kh(k,j,i) * g / rho_reference * & |
---|
1691 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
---|
1692 | ENDDO |
---|
1693 | |
---|
1694 | ELSE |
---|
1695 | |
---|
1696 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
1697 | tend(k,j,i) = tend(k,j,i) - & |
---|
1698 | kh(k,j,i) * g / pt_reference * & |
---|
1699 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
1700 | ENDDO |
---|
1701 | |
---|
1702 | IF ( use_surface_fluxes ) THEN |
---|
1703 | k = nzb_diff_s_inner(j,i)-1 |
---|
1704 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) |
---|
1705 | ENDIF |
---|
1706 | |
---|
1707 | IF ( use_top_fluxes ) THEN |
---|
1708 | k = nzt |
---|
1709 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * tswst(j,i) |
---|
1710 | ENDIF |
---|
1711 | |
---|
1712 | ENDIF |
---|
1713 | |
---|
1714 | ELSE |
---|
1715 | |
---|
1716 | IF ( ocean ) THEN |
---|
1717 | ! |
---|
1718 | !-- So far in the ocean no special treatment of density flux in |
---|
1719 | !-- the bottom and top surface layer |
---|
1720 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1721 | tend(k,j,i) = tend(k,j,i) + & |
---|
1722 | kh(k,j,i) * g / rho(k,j,i) * & |
---|
1723 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
---|
1724 | ENDDO |
---|
1725 | |
---|
1726 | ELSE |
---|
1727 | |
---|
1728 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
1729 | tend(k,j,i) = tend(k,j,i) - & |
---|
1730 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
1731 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
1732 | ENDDO |
---|
1733 | |
---|
1734 | IF ( use_surface_fluxes ) THEN |
---|
1735 | k = nzb_diff_s_inner(j,i)-1 |
---|
1736 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
---|
1737 | ENDIF |
---|
1738 | |
---|
1739 | IF ( use_top_fluxes ) THEN |
---|
1740 | k = nzt |
---|
1741 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
---|
1742 | ENDIF |
---|
1743 | |
---|
1744 | ENDIF |
---|
1745 | |
---|
1746 | ENDIF |
---|
1747 | |
---|
1748 | ELSE |
---|
1749 | |
---|
1750 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
1751 | |
---|
1752 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1753 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1754 | k2 = 0.61 * pt(k,j,i) |
---|
1755 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1756 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1757 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1758 | ) * dd2zu(k) |
---|
1759 | ELSE IF ( cloud_physics ) THEN |
---|
1760 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1761 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1762 | k2 = 0.61 * pt(k,j,i) |
---|
1763 | ELSE |
---|
1764 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1765 | temp = theta * t_d_pt(k) |
---|
1766 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1767 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1768 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1769 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1770 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1771 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1772 | ENDIF |
---|
1773 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1774 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1775 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1776 | ) * dd2zu(k) |
---|
1777 | ELSE IF ( cloud_droplets ) THEN |
---|
1778 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1779 | k2 = 0.61 * pt(k,j,i) |
---|
1780 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1781 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1782 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
1783 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
1784 | ql(k-1,j,i) ) ) * dd2zu(k) |
---|
1785 | ENDIF |
---|
1786 | ENDDO |
---|
1787 | |
---|
1788 | IF ( use_surface_fluxes ) THEN |
---|
1789 | k = nzb_diff_s_inner(j,i)-1 |
---|
1790 | |
---|
1791 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1792 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1793 | k2 = 0.61 * pt(k,j,i) |
---|
1794 | ELSE IF ( cloud_physics ) THEN |
---|
1795 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1796 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1797 | k2 = 0.61 * pt(k,j,i) |
---|
1798 | ELSE |
---|
1799 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1800 | temp = theta * t_d_pt(k) |
---|
1801 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1802 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1803 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1804 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1805 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1806 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1807 | ENDIF |
---|
1808 | ELSE IF ( cloud_droplets ) THEN |
---|
1809 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1810 | k2 = 0.61 * pt(k,j,i) |
---|
1811 | ENDIF |
---|
1812 | |
---|
1813 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1814 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
1815 | ENDIF |
---|
1816 | |
---|
1817 | IF ( use_top_fluxes ) THEN |
---|
1818 | k = nzt |
---|
1819 | |
---|
1820 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1821 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1822 | k2 = 0.61 * pt(k,j,i) |
---|
1823 | ELSE IF ( cloud_physics ) THEN |
---|
1824 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1825 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1826 | k2 = 0.61 * pt(k,j,i) |
---|
1827 | ELSE |
---|
1828 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1829 | temp = theta * t_d_pt(k) |
---|
1830 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1831 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1832 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1833 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1834 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1835 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1836 | ENDIF |
---|
1837 | ELSE IF ( cloud_droplets ) THEN |
---|
1838 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1839 | k2 = 0.61 * pt(k,j,i) |
---|
1840 | ENDIF |
---|
1841 | |
---|
1842 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1843 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
1844 | ENDIF |
---|
1845 | |
---|
1846 | ENDIF |
---|
1847 | |
---|
1848 | ENDIF |
---|
1849 | |
---|
1850 | END SUBROUTINE production_e_ij |
---|
1851 | |
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1852 | |
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1853 | SUBROUTINE production_e_init |
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1854 | |
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1855 | USE arrays_3d |
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1856 | USE control_parameters |
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1857 | USE grid_variables |
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1858 | USE indices |
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1859 | |
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1860 | IMPLICIT NONE |
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1861 | |
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1862 | INTEGER :: i, j, ku, kv |
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1863 | |
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1864 | IF ( prandtl_layer ) THEN |
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1865 | |
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1866 | IF ( first_call ) THEN |
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1867 | ALLOCATE( u_0(nysg:nyng,nxlg:nxrg), v_0(nysg:nyng,nxlg:nxrg) ) |
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1868 | u_0 = 0.0 ! just to avoid access of uninitialized memory |
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1869 | v_0 = 0.0 ! within exchange_horiz_2d |
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1870 | first_call = .FALSE. |
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1871 | ENDIF |
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1872 | |
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1873 | ! |
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1874 | !-- Calculate a virtual velocity at the surface in a way that the |
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1875 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
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1876 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
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1877 | !-- production term at k=1 (see production_e_ij). |
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1878 | !-- The velocity gradient has to be limited in case of too small km |
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1879 | !-- (otherwise the timestep may be significantly reduced by large |
---|
1880 | !-- surface winds). |
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1881 | !-- Upper bounds are nxr+1 and nyn+1 because otherwise these values are |
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1882 | !-- not available in case of non-cyclic boundary conditions. |
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1883 | !-- WARNING: the exact analytical solution would require the determination |
---|
1884 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
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1885 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
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1886 | DO i = nxl, nxr+1 |
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1887 | DO j = nys, nyn+1 |
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1888 | |
---|
1889 | ku = nzb_u_inner(j,i)+1 |
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1890 | kv = nzb_v_inner(j,i)+1 |
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1891 | |
---|
1892 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
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1893 | ( 0.5 * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
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1894 | 1.0E-20 ) |
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1895 | ! ( us(j,i) * kappa * zu(1) ) |
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1896 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
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1897 | ( 0.5 * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
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1898 | 1.0E-20 ) |
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1899 | ! ( us(j,i) * kappa * zu(1) ) |
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1900 | |
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1901 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
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1902 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
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1903 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
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1904 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
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1905 | |
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1906 | ENDDO |
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1907 | ENDDO |
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1908 | |
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1909 | CALL exchange_horiz_2d( u_0 ) |
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1910 | CALL exchange_horiz_2d( v_0 ) |
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1911 | |
---|
1912 | ENDIF |
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1913 | |
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1914 | END SUBROUTINE production_e_init |
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1915 | |
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1916 | END MODULE production_e_mod |
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