1 | MODULE production_e_mod |
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2 | |
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3 | !------------------------------------------------------------------------------! |
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4 | ! Current revisions: |
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5 | ! ----------------- |
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6 | ! |
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7 | ! |
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8 | ! Former revisions: |
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9 | ! ----------------- |
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10 | ! $Id: production_e.f90 1008 2012-09-19 14:49:14Z raasch $ |
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11 | ! |
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12 | ! 1007 2012-09-19 14:30:36Z franke |
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13 | ! Bugfix: calculation of buoyancy production has to consider the liquid water |
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14 | ! mixing ratio in case of cloud droplets |
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15 | ! |
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16 | ! 940 2012-07-09 14:31:00Z raasch |
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17 | ! TKE production by buoyancy can be switched off in case of runs with pure |
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18 | ! neutral stratification |
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19 | ! |
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20 | ! 759 2011-09-15 13:58:31Z raasch |
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21 | ! initialization of u_0, v_0 |
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22 | ! |
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23 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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24 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
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25 | ! |
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26 | ! 449 2010-02-02 11:23:59Z raasch |
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27 | ! test output from rev 410 removed |
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28 | ! |
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29 | ! 388 2009-09-23 09:40:33Z raasch |
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30 | ! Bugfix: wrong sign in buoyancy production of ocean part in case of not using |
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31 | ! the reference density (only in 3D routine production_e) |
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32 | ! Bugfix to avoid zero division by km_neutral |
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33 | ! |
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34 | ! 208 2008-10-20 06:02:59Z raasch |
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35 | ! Bugfix concerning the calculation of velocity gradients at vertical walls |
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36 | ! in case of diabatic conditions |
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37 | ! |
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38 | ! 187 2008-08-06 16:25:09Z letzel |
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39 | ! Change: add 'minus' sign to fluxes obtained from subroutine wall_fluxes_e for |
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40 | ! consistency with subroutine wall_fluxes |
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41 | ! |
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42 | ! 124 2007-10-19 15:47:46Z raasch |
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43 | ! Bugfix: calculation of density flux in the ocean now starts from nzb+1 |
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44 | ! |
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45 | ! 108 2007-08-24 15:10:38Z letzel |
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46 | ! Bugfix: wrong sign removed from the buoyancy production term in the case |
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47 | ! use_reference = .T., |
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48 | ! u_0 and v_0 are calculated for nxr+1, nyn+1 also (otherwise these values are |
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49 | ! not available in case of non-cyclic boundary conditions) |
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50 | ! Bugfix for ocean density flux at bottom |
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51 | ! |
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52 | ! 97 2007-06-21 08:23:15Z raasch |
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53 | ! Energy production by density flux (in ocean) added |
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54 | ! use_pt_reference renamed use_reference |
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55 | ! |
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56 | ! 75 2007-03-22 09:54:05Z raasch |
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57 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes_e, |
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58 | ! reference temperature pt_reference can be used in buoyancy term, |
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59 | ! moisture renamed humidity |
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60 | ! |
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61 | ! 37 2007-03-01 08:33:54Z raasch |
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62 | ! Calculation extended for gridpoint nzt, extended for given temperature / |
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63 | ! humidity fluxes at the top, wall-part is now executed in case that a |
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64 | ! Prandtl-layer is switched on (instead of surfaces fluxes switched on) |
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65 | ! |
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66 | ! RCS Log replace by Id keyword, revision history cleaned up |
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67 | ! |
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68 | ! Revision 1.21 2006/04/26 12:45:35 raasch |
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69 | ! OpenMP parallelization of production_e_init |
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70 | ! |
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71 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
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72 | ! Initial revision |
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73 | ! |
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74 | ! |
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75 | ! Description: |
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76 | ! ------------ |
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77 | ! Production terms (shear + buoyancy) of the TKE |
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78 | ! WARNING: the case with prandtl_layer = F and use_surface_fluxes = T is |
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79 | ! not considered well! |
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80 | !------------------------------------------------------------------------------! |
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81 | |
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82 | USE wall_fluxes_mod |
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83 | |
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84 | PRIVATE |
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85 | PUBLIC production_e, production_e_init |
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86 | |
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87 | LOGICAL, SAVE :: first_call = .TRUE. |
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88 | |
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89 | REAL, DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0, v_0 |
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90 | |
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91 | INTERFACE production_e |
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92 | MODULE PROCEDURE production_e |
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93 | MODULE PROCEDURE production_e_ij |
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94 | END INTERFACE production_e |
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95 | |
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96 | INTERFACE production_e_init |
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97 | MODULE PROCEDURE production_e_init |
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98 | END INTERFACE production_e_init |
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99 | |
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100 | CONTAINS |
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101 | |
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102 | |
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103 | !------------------------------------------------------------------------------! |
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104 | ! Call for all grid points |
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105 | !------------------------------------------------------------------------------! |
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106 | SUBROUTINE production_e |
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107 | |
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108 | USE arrays_3d |
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109 | USE cloud_parameters |
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110 | USE control_parameters |
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111 | USE grid_variables |
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112 | USE indices |
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113 | USE statistics |
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114 | |
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115 | IMPLICIT NONE |
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116 | |
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117 | INTEGER :: i, j, k |
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118 | |
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119 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
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120 | k1, k2, km_neutral, theta, temp |
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121 | |
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122 | ! REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs |
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123 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
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124 | |
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125 | ! |
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126 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
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127 | !-- vertical walls, if neccessary |
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128 | !-- So far, results are slightly different from the ij-Version. |
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129 | !-- Therefore, ij-Version is called further below within the ij-loops. |
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130 | ! IF ( topography /= 'flat' ) THEN |
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131 | ! CALL wall_fluxes_e( usvs, 1.0, 0.0, 0.0, 0.0, wall_e_y ) |
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132 | ! CALL wall_fluxes_e( wsvs, 0.0, 0.0, 1.0, 0.0, wall_e_y ) |
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133 | ! CALL wall_fluxes_e( vsus, 0.0, 1.0, 0.0, 0.0, wall_e_x ) |
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134 | ! CALL wall_fluxes_e( wsus, 0.0, 0.0, 0.0, 1.0, wall_e_x ) |
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135 | ! ENDIF |
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136 | |
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137 | |
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138 | DO i = nxl, nxr |
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139 | |
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140 | ! |
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141 | !-- Calculate TKE production by shear |
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142 | DO j = nys, nyn |
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143 | DO k = nzb_diff_s_outer(j,i), nzt |
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144 | |
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145 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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146 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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147 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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148 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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149 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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150 | |
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151 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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152 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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153 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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154 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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155 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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156 | |
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157 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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158 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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159 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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160 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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161 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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162 | |
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163 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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164 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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165 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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166 | |
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167 | IF ( def < 0.0 ) def = 0.0 |
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168 | |
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169 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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170 | |
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171 | ENDDO |
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172 | ENDDO |
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173 | |
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174 | IF ( prandtl_layer ) THEN |
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175 | |
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176 | ! |
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177 | !-- Position beneath wall |
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178 | !-- (2) - Will allways be executed. |
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179 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
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180 | DO j = nys, nyn |
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181 | |
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182 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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183 | THEN |
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184 | |
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185 | k = nzb_diff_s_inner(j,i) - 1 |
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186 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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187 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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188 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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189 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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190 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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191 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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192 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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193 | |
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194 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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195 | ! |
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196 | !-- Inconsistency removed: as the thermal stratification is |
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197 | !-- not taken into account for the evaluation of the wall |
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198 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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199 | !-- be used for the evaluation of the velocity gradients dudy |
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200 | !-- and dwdy |
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201 | !-- Note: The validity of the new method has not yet been |
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202 | !-- shown, as so far no suitable data for a validation |
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203 | !-- has been available |
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204 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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205 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
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206 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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207 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
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208 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25 * & |
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209 | 0.5 * dy |
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210 | IF ( km_neutral > 0.0 ) THEN |
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211 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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212 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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213 | ELSE |
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214 | dudy = 0.0 |
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215 | dwdy = 0.0 |
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216 | ENDIF |
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217 | ELSE |
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218 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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219 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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220 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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221 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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222 | ENDIF |
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223 | |
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224 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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225 | ! |
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226 | !-- Inconsistency removed: as the thermal stratification is |
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227 | !-- not taken into account for the evaluation of the wall |
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228 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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229 | !-- be used for the evaluation of the velocity gradients dvdx |
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230 | !-- and dwdx |
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231 | !-- Note: The validity of the new method has not yet been |
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232 | !-- shown, as so far no suitable data for a validation |
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233 | !-- has been available |
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234 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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235 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
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236 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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237 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
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238 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25 * & |
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239 | 0.5 * dx |
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240 | IF ( km_neutral > 0.0 ) THEN |
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241 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
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242 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
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243 | ELSE |
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244 | dvdx = 0.0 |
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245 | dwdx = 0.0 |
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246 | ENDIF |
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247 | ELSE |
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248 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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249 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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250 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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251 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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252 | ENDIF |
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253 | |
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254 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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255 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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256 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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257 | |
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258 | IF ( def < 0.0 ) def = 0.0 |
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259 | |
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260 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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261 | |
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262 | |
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263 | ! |
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264 | !-- (3) - will be executed only, if there is at least one level |
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265 | !-- between (2) and (4), i.e. the topography must have a |
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266 | !-- minimum height of 2 dz. Wall fluxes for this case have |
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267 | !-- already been calculated for (2). |
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268 | !-- 'wall only: use wall functions' |
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269 | |
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270 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
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271 | |
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272 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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273 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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274 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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275 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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276 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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277 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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278 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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279 | |
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280 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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281 | ! |
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282 | !-- Inconsistency removed: as the thermal stratification |
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283 | !-- is not taken into account for the evaluation of the |
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284 | !-- wall fluxes at vertical walls, the eddy viscosity km |
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285 | !-- must not be used for the evaluation of the velocity |
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286 | !-- gradients dudy and dwdy |
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287 | !-- Note: The validity of the new method has not yet |
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288 | !-- been shown, as so far no suitable data for a |
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289 | !-- validation has been available |
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290 | km_neutral = kappa * ( usvs(k)**2 + & |
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291 | wsvs(k)**2 )**0.25 * 0.5 * dy |
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292 | IF ( km_neutral > 0.0 ) THEN |
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293 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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294 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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295 | ELSE |
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296 | dudy = 0.0 |
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297 | dwdy = 0.0 |
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298 | ENDIF |
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299 | ELSE |
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300 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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301 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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302 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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303 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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304 | ENDIF |
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305 | |
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306 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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307 | ! |
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308 | !-- Inconsistency removed: as the thermal stratification |
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309 | !-- is not taken into account for the evaluation of the |
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310 | !-- wall fluxes at vertical walls, the eddy viscosity km |
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311 | !-- must not be used for the evaluation of the velocity |
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312 | !-- gradients dvdx and dwdx |
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313 | !-- Note: The validity of the new method has not yet |
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314 | !-- been shown, as so far no suitable data for a |
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315 | !-- validation has been available |
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316 | km_neutral = kappa * ( vsus(k)**2 + & |
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317 | wsus(k)**2 )**0.25 * 0.5 * dx |
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318 | IF ( km_neutral > 0.0 ) THEN |
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319 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
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320 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
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321 | ELSE |
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322 | dvdx = 0.0 |
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323 | dwdx = 0.0 |
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324 | ENDIF |
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325 | ELSE |
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326 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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327 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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328 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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329 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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330 | ENDIF |
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331 | |
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332 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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333 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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334 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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335 | |
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336 | IF ( def < 0.0 ) def = 0.0 |
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337 | |
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338 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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339 | |
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340 | ENDDO |
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341 | |
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342 | ENDIF |
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343 | |
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344 | ENDDO |
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345 | |
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346 | ! |
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347 | !-- (4) - will allways be executed. |
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348 | !-- 'special case: free atmosphere' (as for case (0)) |
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349 | DO j = nys, nyn |
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350 | |
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351 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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352 | THEN |
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353 | |
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354 | k = nzb_diff_s_outer(j,i)-1 |
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355 | |
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356 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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357 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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358 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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359 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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360 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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361 | |
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362 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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363 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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364 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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365 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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366 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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367 | |
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368 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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369 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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370 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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371 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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372 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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373 | |
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374 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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375 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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376 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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377 | |
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378 | IF ( def < 0.0 ) def = 0.0 |
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379 | |
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380 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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381 | |
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382 | ENDIF |
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383 | |
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384 | ENDDO |
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385 | |
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386 | ! |
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387 | !-- Position without adjacent wall |
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388 | !-- (1) - will allways be executed. |
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389 | !-- 'bottom only: use u_0,v_0' |
---|
390 | DO j = nys, nyn |
---|
391 | |
---|
392 | IF ( ( wall_e_x(j,i) == 0.0 ) .AND. ( wall_e_y(j,i) == 0.0 ) ) & |
---|
393 | THEN |
---|
394 | |
---|
395 | k = nzb_diff_s_inner(j,i)-1 |
---|
396 | |
---|
397 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
398 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
399 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
400 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
401 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
402 | |
---|
403 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
404 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
405 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
406 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
407 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
408 | |
---|
409 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
410 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
411 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
412 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
413 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
414 | |
---|
415 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
416 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
417 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
418 | |
---|
419 | IF ( def < 0.0 ) def = 0.0 |
---|
420 | |
---|
421 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
422 | |
---|
423 | ENDIF |
---|
424 | |
---|
425 | ENDDO |
---|
426 | |
---|
427 | ELSEIF ( use_surface_fluxes ) THEN |
---|
428 | |
---|
429 | DO j = nys, nyn |
---|
430 | |
---|
431 | k = nzb_diff_s_outer(j,i)-1 |
---|
432 | |
---|
433 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
434 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
435 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
436 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
437 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
438 | |
---|
439 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
440 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
441 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
442 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
443 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
444 | |
---|
445 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
446 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
447 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
448 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
449 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
450 | |
---|
451 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
452 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
453 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
454 | |
---|
455 | IF ( def < 0.0 ) def = 0.0 |
---|
456 | |
---|
457 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
458 | |
---|
459 | ENDDO |
---|
460 | |
---|
461 | ENDIF |
---|
462 | |
---|
463 | ! |
---|
464 | !-- If required, calculate TKE production by buoyancy |
---|
465 | IF ( .NOT. neutral ) THEN |
---|
466 | |
---|
467 | IF ( .NOT. humidity ) THEN |
---|
468 | |
---|
469 | IF ( use_reference ) THEN |
---|
470 | |
---|
471 | IF ( ocean ) THEN |
---|
472 | ! |
---|
473 | !-- So far in the ocean no special treatment of density flux |
---|
474 | !-- in the bottom and top surface layer |
---|
475 | DO j = nys, nyn |
---|
476 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
477 | tend(k,j,i) = tend(k,j,i) + & |
---|
478 | kh(k,j,i) * g / rho_reference * & |
---|
479 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
---|
480 | dd2zu(k) |
---|
481 | ENDDO |
---|
482 | ENDDO |
---|
483 | |
---|
484 | ELSE |
---|
485 | |
---|
486 | DO j = nys, nyn |
---|
487 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
488 | tend(k,j,i) = tend(k,j,i) - & |
---|
489 | kh(k,j,i) * g / pt_reference * & |
---|
490 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
491 | dd2zu(k) |
---|
492 | ENDDO |
---|
493 | |
---|
494 | IF ( use_surface_fluxes ) THEN |
---|
495 | k = nzb_diff_s_inner(j,i)-1 |
---|
496 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
497 | shf(j,i) |
---|
498 | ENDIF |
---|
499 | |
---|
500 | IF ( use_top_fluxes ) THEN |
---|
501 | k = nzt |
---|
502 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
503 | tswst(j,i) |
---|
504 | ENDIF |
---|
505 | ENDDO |
---|
506 | |
---|
507 | ENDIF |
---|
508 | |
---|
509 | ELSE |
---|
510 | |
---|
511 | IF ( ocean ) THEN |
---|
512 | ! |
---|
513 | !-- So far in the ocean no special treatment of density flux |
---|
514 | !-- in the bottom and top surface layer |
---|
515 | DO j = nys, nyn |
---|
516 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
517 | tend(k,j,i) = tend(k,j,i) + & |
---|
518 | kh(k,j,i) * g / rho(k,j,i) * & |
---|
519 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
---|
520 | dd2zu(k) |
---|
521 | ENDDO |
---|
522 | ENDDO |
---|
523 | |
---|
524 | ELSE |
---|
525 | |
---|
526 | DO j = nys, nyn |
---|
527 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
528 | tend(k,j,i) = tend(k,j,i) - & |
---|
529 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
530 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
531 | dd2zu(k) |
---|
532 | ENDDO |
---|
533 | |
---|
534 | IF ( use_surface_fluxes ) THEN |
---|
535 | k = nzb_diff_s_inner(j,i)-1 |
---|
536 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
537 | shf(j,i) |
---|
538 | ENDIF |
---|
539 | |
---|
540 | IF ( use_top_fluxes ) THEN |
---|
541 | k = nzt |
---|
542 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
543 | tswst(j,i) |
---|
544 | ENDIF |
---|
545 | ENDDO |
---|
546 | |
---|
547 | ENDIF |
---|
548 | |
---|
549 | ENDIF |
---|
550 | |
---|
551 | ELSE |
---|
552 | |
---|
553 | DO j = nys, nyn |
---|
554 | |
---|
555 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
556 | |
---|
557 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
558 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
559 | k2 = 0.61 * pt(k,j,i) |
---|
560 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
561 | g / vpt(k,j,i) * & |
---|
562 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
563 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
564 | ) * dd2zu(k) |
---|
565 | ELSE IF ( cloud_physics ) THEN |
---|
566 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
567 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
568 | k2 = 0.61 * pt(k,j,i) |
---|
569 | ELSE |
---|
570 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
571 | temp = theta * t_d_pt(k) |
---|
572 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
573 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
574 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
575 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
576 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
577 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
578 | ENDIF |
---|
579 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
580 | g / vpt(k,j,i) * & |
---|
581 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
582 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
583 | ) * dd2zu(k) |
---|
584 | ELSE IF ( cloud_droplets ) THEN |
---|
585 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
586 | k2 = 0.61 * pt(k,j,i) |
---|
587 | tend(k,j,i) = tend(k,j,i) - & |
---|
588 | kh(k,j,i) * g / vpt(k,j,i) * & |
---|
589 | ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
---|
590 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
591 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
592 | ql(k-1,j,i) ) ) * dd2zu(k) |
---|
593 | ENDIF |
---|
594 | |
---|
595 | ENDDO |
---|
596 | |
---|
597 | ENDDO |
---|
598 | |
---|
599 | IF ( use_surface_fluxes ) THEN |
---|
600 | |
---|
601 | DO j = nys, nyn |
---|
602 | |
---|
603 | k = nzb_diff_s_inner(j,i)-1 |
---|
604 | |
---|
605 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
606 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
607 | k2 = 0.61 * pt(k,j,i) |
---|
608 | ELSE IF ( cloud_physics ) THEN |
---|
609 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
610 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
611 | k2 = 0.61 * pt(k,j,i) |
---|
612 | ELSE |
---|
613 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
614 | temp = theta * t_d_pt(k) |
---|
615 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
616 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
617 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
618 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
619 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
620 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
621 | ENDIF |
---|
622 | ELSE IF ( cloud_droplets ) THEN |
---|
623 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
624 | k2 = 0.61 * pt(k,j,i) |
---|
625 | ENDIF |
---|
626 | |
---|
627 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
628 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
629 | ENDDO |
---|
630 | |
---|
631 | ENDIF |
---|
632 | |
---|
633 | IF ( use_top_fluxes ) THEN |
---|
634 | |
---|
635 | DO j = nys, nyn |
---|
636 | |
---|
637 | k = nzt |
---|
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* tswst(j,i) + k2 * qswst(j,i) ) |
---|
663 | ENDDO |
---|
664 | |
---|
665 | ENDIF |
---|
666 | |
---|
667 | ENDIF |
---|
668 | |
---|
669 | ENDIF |
---|
670 | |
---|
671 | ENDDO |
---|
672 | |
---|
673 | END SUBROUTINE production_e |
---|
674 | |
---|
675 | |
---|
676 | !------------------------------------------------------------------------------! |
---|
677 | ! Call for grid point i,j |
---|
678 | !------------------------------------------------------------------------------! |
---|
679 | SUBROUTINE production_e_ij( i, j ) |
---|
680 | |
---|
681 | USE arrays_3d |
---|
682 | USE cloud_parameters |
---|
683 | USE control_parameters |
---|
684 | USE grid_variables |
---|
685 | USE indices |
---|
686 | USE statistics |
---|
687 | |
---|
688 | IMPLICIT NONE |
---|
689 | |
---|
690 | INTEGER :: i, j, k |
---|
691 | |
---|
692 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
---|
693 | k1, k2, km_neutral, theta, temp |
---|
694 | |
---|
695 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
---|
696 | |
---|
697 | ! |
---|
698 | !-- Calculate TKE production by shear |
---|
699 | DO k = nzb_diff_s_outer(j,i), nzt |
---|
700 | |
---|
701 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
702 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
703 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
704 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
705 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
706 | |
---|
707 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
708 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
709 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
710 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
711 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
712 | |
---|
713 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
714 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
715 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
716 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
717 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
718 | |
---|
719 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
720 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
721 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
722 | |
---|
723 | IF ( def < 0.0 ) def = 0.0 |
---|
724 | |
---|
725 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
726 | |
---|
727 | ENDDO |
---|
728 | |
---|
729 | IF ( prandtl_layer ) THEN |
---|
730 | |
---|
731 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) THEN |
---|
732 | |
---|
733 | ! |
---|
734 | !-- Position beneath wall |
---|
735 | !-- (2) - Will allways be executed. |
---|
736 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
---|
737 | k = nzb_diff_s_inner(j,i)-1 |
---|
738 | |
---|
739 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
740 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
741 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
742 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
743 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
744 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
745 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
746 | |
---|
747 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
748 | ! |
---|
749 | !-- Inconsistency removed: as the thermal stratification |
---|
750 | !-- is not taken into account for the evaluation of the |
---|
751 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
752 | !-- must not be used for the evaluation of the velocity |
---|
753 | !-- gradients dudy and dwdy |
---|
754 | !-- Note: The validity of the new method has not yet |
---|
755 | !-- been shown, as so far no suitable data for a |
---|
756 | !-- validation has been available |
---|
757 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
758 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
---|
759 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
760 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
---|
761 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25 * & |
---|
762 | 0.5 * dy |
---|
763 | IF ( km_neutral > 0.0 ) THEN |
---|
764 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
765 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
766 | ELSE |
---|
767 | dudy = 0.0 |
---|
768 | dwdy = 0.0 |
---|
769 | ENDIF |
---|
770 | ELSE |
---|
771 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
772 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
773 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
774 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
775 | ENDIF |
---|
776 | |
---|
777 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
778 | ! |
---|
779 | !-- Inconsistency removed: as the thermal stratification |
---|
780 | !-- is not taken into account for the evaluation of the |
---|
781 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
782 | !-- must not be used for the evaluation of the velocity |
---|
783 | !-- gradients dvdx and dwdx |
---|
784 | !-- Note: The validity of the new method has not yet |
---|
785 | !-- been shown, as so far no suitable data for a |
---|
786 | !-- validation has been available |
---|
787 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
788 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
---|
789 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
790 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
---|
791 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25 * & |
---|
792 | 0.5 * dx |
---|
793 | IF ( km_neutral > 0.0 ) THEN |
---|
794 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
795 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
796 | ELSE |
---|
797 | dvdx = 0.0 |
---|
798 | dwdx = 0.0 |
---|
799 | ENDIF |
---|
800 | ELSE |
---|
801 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
802 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
803 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
804 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
805 | ENDIF |
---|
806 | |
---|
807 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
808 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
809 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
810 | |
---|
811 | IF ( def < 0.0 ) def = 0.0 |
---|
812 | |
---|
813 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
814 | |
---|
815 | ! |
---|
816 | !-- (3) - will be executed only, if there is at least one level |
---|
817 | !-- between (2) and (4), i.e. the topography must have a |
---|
818 | !-- minimum height of 2 dz. Wall fluxes for this case have |
---|
819 | !-- already been calculated for (2). |
---|
820 | !-- 'wall only: use wall functions' |
---|
821 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
---|
822 | |
---|
823 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
824 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
825 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
826 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
827 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
828 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
829 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
830 | |
---|
831 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
832 | ! |
---|
833 | !-- Inconsistency removed: as the thermal stratification |
---|
834 | !-- is not taken into account for the evaluation of the |
---|
835 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
836 | !-- must not be used for the evaluation of the velocity |
---|
837 | !-- gradients dudy and dwdy |
---|
838 | !-- Note: The validity of the new method has not yet |
---|
839 | !-- been shown, as so far no suitable data for a |
---|
840 | !-- validation has been available |
---|
841 | km_neutral = kappa * ( usvs(k)**2 + & |
---|
842 | wsvs(k)**2 )**0.25 * 0.5 * dy |
---|
843 | IF ( km_neutral > 0.0 ) THEN |
---|
844 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
845 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
846 | ELSE |
---|
847 | dudy = 0.0 |
---|
848 | dwdy = 0.0 |
---|
849 | ENDIF |
---|
850 | ELSE |
---|
851 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
852 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
853 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
854 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
855 | ENDIF |
---|
856 | |
---|
857 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
858 | ! |
---|
859 | !-- Inconsistency removed: as the thermal stratification |
---|
860 | !-- is not taken into account for the evaluation of the |
---|
861 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
862 | !-- must not be used for the evaluation of the velocity |
---|
863 | !-- gradients dvdx and dwdx |
---|
864 | !-- Note: The validity of the new method has not yet |
---|
865 | !-- been shown, as so far no suitable data for a |
---|
866 | !-- validation has been available |
---|
867 | km_neutral = kappa * ( vsus(k)**2 + & |
---|
868 | wsus(k)**2 )**0.25 * 0.5 * dx |
---|
869 | IF ( km_neutral > 0.0 ) THEN |
---|
870 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
871 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
872 | ELSE |
---|
873 | dvdx = 0.0 |
---|
874 | dwdx = 0.0 |
---|
875 | ENDIF |
---|
876 | ELSE |
---|
877 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
878 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
879 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
880 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
881 | ENDIF |
---|
882 | |
---|
883 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
884 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
885 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
886 | |
---|
887 | IF ( def < 0.0 ) def = 0.0 |
---|
888 | |
---|
889 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
890 | |
---|
891 | ENDDO |
---|
892 | |
---|
893 | ! |
---|
894 | !-- (4) - will allways be executed. |
---|
895 | !-- 'special case: free atmosphere' (as for case (0)) |
---|
896 | k = nzb_diff_s_outer(j,i)-1 |
---|
897 | |
---|
898 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
899 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
900 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
901 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
902 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
903 | |
---|
904 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
905 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
906 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
907 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
908 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
909 | |
---|
910 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
911 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
912 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
913 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
914 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
915 | |
---|
916 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
917 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
918 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
919 | |
---|
920 | IF ( def < 0.0 ) def = 0.0 |
---|
921 | |
---|
922 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
923 | |
---|
924 | ELSE |
---|
925 | |
---|
926 | ! |
---|
927 | !-- Position without adjacent wall |
---|
928 | !-- (1) - will allways be executed. |
---|
929 | !-- 'bottom only: use u_0,v_0' |
---|
930 | k = nzb_diff_s_inner(j,i)-1 |
---|
931 | |
---|
932 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
933 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
934 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
935 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
936 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
937 | |
---|
938 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
939 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
940 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
941 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
942 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
943 | |
---|
944 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
945 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
946 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
947 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
948 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
949 | |
---|
950 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
951 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
952 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
953 | |
---|
954 | IF ( def < 0.0 ) def = 0.0 |
---|
955 | |
---|
956 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
957 | |
---|
958 | ENDIF |
---|
959 | |
---|
960 | ELSEIF ( use_surface_fluxes ) THEN |
---|
961 | |
---|
962 | k = nzb_diff_s_outer(j,i)-1 |
---|
963 | |
---|
964 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
965 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
966 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
967 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
968 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
969 | |
---|
970 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
971 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
972 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
973 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
974 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
975 | |
---|
976 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
977 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
978 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
979 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
980 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
981 | |
---|
982 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
983 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
984 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
985 | |
---|
986 | IF ( def < 0.0 ) def = 0.0 |
---|
987 | |
---|
988 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
989 | |
---|
990 | ENDIF |
---|
991 | |
---|
992 | ! |
---|
993 | !-- If required, calculate TKE production by buoyancy |
---|
994 | IF ( .NOT. neutral ) THEN |
---|
995 | |
---|
996 | IF ( .NOT. humidity ) THEN |
---|
997 | |
---|
998 | IF ( use_reference ) THEN |
---|
999 | |
---|
1000 | IF ( ocean ) THEN |
---|
1001 | ! |
---|
1002 | !-- So far in the ocean no special treatment of density flux in |
---|
1003 | !-- the bottom and top surface layer |
---|
1004 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1005 | tend(k,j,i) = tend(k,j,i) + & |
---|
1006 | kh(k,j,i) * g / rho_reference * & |
---|
1007 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
---|
1008 | ENDDO |
---|
1009 | |
---|
1010 | ELSE |
---|
1011 | |
---|
1012 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
1013 | tend(k,j,i) = tend(k,j,i) - & |
---|
1014 | kh(k,j,i) * g / pt_reference * & |
---|
1015 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
1016 | ENDDO |
---|
1017 | |
---|
1018 | IF ( use_surface_fluxes ) THEN |
---|
1019 | k = nzb_diff_s_inner(j,i)-1 |
---|
1020 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) |
---|
1021 | ENDIF |
---|
1022 | |
---|
1023 | IF ( use_top_fluxes ) THEN |
---|
1024 | k = nzt |
---|
1025 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * tswst(j,i) |
---|
1026 | ENDIF |
---|
1027 | |
---|
1028 | ENDIF |
---|
1029 | |
---|
1030 | ELSE |
---|
1031 | |
---|
1032 | IF ( ocean ) THEN |
---|
1033 | ! |
---|
1034 | !-- So far in the ocean no special treatment of density flux in |
---|
1035 | !-- the bottom and top surface layer |
---|
1036 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1037 | tend(k,j,i) = tend(k,j,i) + & |
---|
1038 | kh(k,j,i) * g / rho(k,j,i) * & |
---|
1039 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
---|
1040 | ENDDO |
---|
1041 | |
---|
1042 | ELSE |
---|
1043 | |
---|
1044 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
1045 | tend(k,j,i) = tend(k,j,i) - & |
---|
1046 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
1047 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
1048 | ENDDO |
---|
1049 | |
---|
1050 | IF ( use_surface_fluxes ) THEN |
---|
1051 | k = nzb_diff_s_inner(j,i)-1 |
---|
1052 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
---|
1053 | ENDIF |
---|
1054 | |
---|
1055 | IF ( use_top_fluxes ) THEN |
---|
1056 | k = nzt |
---|
1057 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
---|
1058 | ENDIF |
---|
1059 | |
---|
1060 | ENDIF |
---|
1061 | |
---|
1062 | ENDIF |
---|
1063 | |
---|
1064 | ELSE |
---|
1065 | |
---|
1066 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
1067 | |
---|
1068 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1069 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1070 | k2 = 0.61 * pt(k,j,i) |
---|
1071 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1072 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1073 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1074 | ) * dd2zu(k) |
---|
1075 | ELSE IF ( cloud_physics ) THEN |
---|
1076 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1077 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1078 | k2 = 0.61 * pt(k,j,i) |
---|
1079 | ELSE |
---|
1080 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1081 | temp = theta * t_d_pt(k) |
---|
1082 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1083 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1084 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1085 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1086 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1087 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1088 | ENDIF |
---|
1089 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1090 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1091 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1092 | ) * dd2zu(k) |
---|
1093 | ELSE IF ( cloud_droplets ) THEN |
---|
1094 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1095 | k2 = 0.61 * pt(k,j,i) |
---|
1096 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1097 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1098 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
1099 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
1100 | ql(k-1,j,i) ) ) * dd2zu(k) |
---|
1101 | ENDIF |
---|
1102 | ENDDO |
---|
1103 | |
---|
1104 | IF ( use_surface_fluxes ) THEN |
---|
1105 | k = nzb_diff_s_inner(j,i)-1 |
---|
1106 | |
---|
1107 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1108 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1109 | k2 = 0.61 * pt(k,j,i) |
---|
1110 | ELSE IF ( cloud_physics ) THEN |
---|
1111 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1112 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1113 | k2 = 0.61 * pt(k,j,i) |
---|
1114 | ELSE |
---|
1115 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1116 | temp = theta * t_d_pt(k) |
---|
1117 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1118 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1119 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1120 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1121 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1122 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1123 | ENDIF |
---|
1124 | ELSE IF ( cloud_droplets ) THEN |
---|
1125 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1126 | k2 = 0.61 * pt(k,j,i) |
---|
1127 | ENDIF |
---|
1128 | |
---|
1129 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1130 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
1131 | ENDIF |
---|
1132 | |
---|
1133 | IF ( use_top_fluxes ) THEN |
---|
1134 | k = nzt |
---|
1135 | |
---|
1136 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1137 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1138 | k2 = 0.61 * pt(k,j,i) |
---|
1139 | ELSE IF ( cloud_physics ) THEN |
---|
1140 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1141 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1142 | k2 = 0.61 * pt(k,j,i) |
---|
1143 | ELSE |
---|
1144 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1145 | temp = theta * t_d_pt(k) |
---|
1146 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1147 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1148 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1149 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1150 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1151 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1152 | ENDIF |
---|
1153 | ELSE IF ( cloud_droplets ) THEN |
---|
1154 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
---|
1155 | k2 = 0.61 * pt(k,j,i) |
---|
1156 | ENDIF |
---|
1157 | |
---|
1158 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1159 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
1160 | ENDIF |
---|
1161 | |
---|
1162 | ENDIF |
---|
1163 | |
---|
1164 | ENDIF |
---|
1165 | |
---|
1166 | END SUBROUTINE production_e_ij |
---|
1167 | |
---|
1168 | |
---|
1169 | SUBROUTINE production_e_init |
---|
1170 | |
---|
1171 | USE arrays_3d |
---|
1172 | USE control_parameters |
---|
1173 | USE grid_variables |
---|
1174 | USE indices |
---|
1175 | |
---|
1176 | IMPLICIT NONE |
---|
1177 | |
---|
1178 | INTEGER :: i, j, ku, kv |
---|
1179 | |
---|
1180 | IF ( prandtl_layer ) THEN |
---|
1181 | |
---|
1182 | IF ( first_call ) THEN |
---|
1183 | ALLOCATE( u_0(nysg:nyng,nxlg:nxrg), v_0(nysg:nyng,nxlg:nxrg) ) |
---|
1184 | u_0 = 0.0 ! just to avoid access of uninitialized memory |
---|
1185 | v_0 = 0.0 ! within exchange_horiz_2d |
---|
1186 | first_call = .FALSE. |
---|
1187 | ENDIF |
---|
1188 | |
---|
1189 | ! |
---|
1190 | !-- Calculate a virtual velocity at the surface in a way that the |
---|
1191 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
---|
1192 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
---|
1193 | !-- production term at k=1 (see production_e_ij). |
---|
1194 | !-- The velocity gradient has to be limited in case of too small km |
---|
1195 | !-- (otherwise the timestep may be significantly reduced by large |
---|
1196 | !-- surface winds). |
---|
1197 | !-- Upper bounds are nxr+1 and nyn+1 because otherwise these values are |
---|
1198 | !-- not available in case of non-cyclic boundary conditions. |
---|
1199 | !-- WARNING: the exact analytical solution would require the determination |
---|
1200 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
---|
1201 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
---|
1202 | DO i = nxl, nxr+1 |
---|
1203 | DO j = nys, nyn+1 |
---|
1204 | |
---|
1205 | ku = nzb_u_inner(j,i)+1 |
---|
1206 | kv = nzb_v_inner(j,i)+1 |
---|
1207 | |
---|
1208 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
---|
1209 | ( 0.5 * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
---|
1210 | 1.0E-20 ) |
---|
1211 | ! ( us(j,i) * kappa * zu(1) ) |
---|
1212 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
---|
1213 | ( 0.5 * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
---|
1214 | 1.0E-20 ) |
---|
1215 | ! ( us(j,i) * kappa * zu(1) ) |
---|
1216 | |
---|
1217 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
---|
1218 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
---|
1219 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
---|
1220 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
---|
1221 | |
---|
1222 | ENDDO |
---|
1223 | ENDDO |
---|
1224 | |
---|
1225 | CALL exchange_horiz_2d( u_0 ) |
---|
1226 | CALL exchange_horiz_2d( v_0 ) |
---|
1227 | |
---|
1228 | ENDIF |
---|
1229 | |
---|
1230 | END SUBROUTINE production_e_init |
---|
1231 | |
---|
1232 | END MODULE production_e_mod |
---|