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