1 | MODULE production_e_mod |
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2 | |
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3 | !------------------------------------------------------------------------------! |
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4 | ! Actual revisions: |
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5 | ! ----------------- |
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6 | ! Calculation extended for gridpoint nzt, extended for given temperature / |
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7 | ! humidity fluxes at the top, wall-part is now executed in case that a |
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8 | ! Prandtl-layer is switched on (instead of surfaces fluxes switched on) |
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9 | ! |
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10 | ! Former revisions: |
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11 | ! ----------------- |
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12 | ! $Id: production_e.f90 37 2007-03-01 08:33:54Z raasch $ |
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13 | ! RCS Log replace by Id keyword, revision history cleaned up |
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14 | ! |
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15 | ! Revision 1.21 2006/04/26 12:45:35 raasch |
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16 | ! OpenMP parallelization of production_e_init |
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17 | ! |
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18 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
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19 | ! Initial revision |
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20 | ! |
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21 | ! |
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22 | ! Description: |
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23 | ! ------------ |
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24 | ! Production terms (shear + buoyancy) of the TKE |
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25 | ! WARNING: the case with prandtl_layer = F and use_surface_fluxes = T is |
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26 | ! not considered well! |
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27 | !------------------------------------------------------------------------------! |
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28 | |
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29 | PRIVATE |
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30 | PUBLIC production_e, production_e_init |
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31 | |
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32 | LOGICAL, SAVE :: first_call = .TRUE. |
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33 | |
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34 | REAL, DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0, v_0 |
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35 | |
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36 | INTERFACE production_e |
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37 | MODULE PROCEDURE production_e |
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38 | MODULE PROCEDURE production_e_ij |
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39 | END INTERFACE production_e |
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40 | |
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41 | INTERFACE production_e_init |
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42 | MODULE PROCEDURE production_e_init |
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43 | END INTERFACE production_e_init |
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44 | |
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45 | CONTAINS |
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46 | |
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47 | |
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48 | !------------------------------------------------------------------------------! |
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49 | ! Call for all grid points |
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50 | !------------------------------------------------------------------------------! |
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51 | SUBROUTINE production_e |
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52 | |
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53 | USE arrays_3d |
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54 | USE cloud_parameters |
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55 | USE control_parameters |
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56 | USE grid_variables |
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57 | USE indices |
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58 | USE statistics |
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59 | |
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60 | IMPLICIT NONE |
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61 | |
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62 | INTEGER :: i, j, k |
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63 | |
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64 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
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65 | k1, k2, theta, temp, usvs, vsus, wsus, wsvs |
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66 | |
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67 | |
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68 | ! |
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69 | !-- Calculate TKE production by shear |
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70 | DO i = nxl, nxr |
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71 | |
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72 | DO j = nys, nyn |
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73 | DO k = nzb_diff_s_outer(j,i), nzt |
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74 | |
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75 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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76 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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77 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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78 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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79 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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80 | |
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81 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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82 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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83 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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84 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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85 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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86 | |
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87 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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88 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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89 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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90 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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91 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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92 | |
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93 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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94 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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95 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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96 | |
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97 | IF ( def < 0.0 ) def = 0.0 |
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98 | |
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99 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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100 | |
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101 | ENDDO |
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102 | ENDDO |
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103 | |
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104 | IF ( prandtl_layer ) THEN |
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105 | |
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106 | ! |
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107 | !-- Position neben Gebaeudewand |
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108 | !-- 2 - Wird immer ausgefuehrt. 'Boden und Wand: |
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109 | !-- u_0,v_0 und Wall functions' |
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110 | DO j = nys, nyn |
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111 | |
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112 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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113 | THEN |
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114 | |
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115 | k = nzb_diff_s_inner(j,i) - 1 |
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116 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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117 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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118 | usvs = kappa * 0.5 * ( u(k,j,i) + u(k,j,i+1) ) & |
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119 | / LOG( 0.5 * dy / z0(j,i) ) |
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120 | usvs = usvs * ABS( usvs ) |
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121 | dudy = wall_e_y(j,i) * usvs / km(k,j,i) |
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122 | ELSE |
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123 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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124 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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125 | ENDIF |
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126 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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127 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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128 | |
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129 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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130 | vsus = kappa * 0.5 * ( v(k,j,i) + v(k,j+1,i) ) & |
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131 | / LOG( 0.5 * dx / z0(j,i)) |
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132 | vsus = vsus * ABS( vsus ) |
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133 | dvdx = wall_e_x(j,i) * vsus / km(k,j,i) |
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134 | ELSE |
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135 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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136 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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137 | ENDIF |
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138 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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139 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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140 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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141 | |
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142 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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143 | wsus = kappa * 0.5 * ( w(k,j,i) + w(k-1,j,i) ) & |
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144 | / LOG( 0.5 * dx / z0(j,i)) |
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145 | wsus = wsus * ABS( wsus ) |
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146 | dwdx = wall_e_x(j,i) * wsus / km(k,j,i) |
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147 | ELSE |
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148 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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149 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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150 | ENDIF |
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151 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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152 | wsvs = kappa * ( w(k,j,i) + w(k-1,j,i) ) & |
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153 | / LOG( 0.5 * dy / z0(j,i)) |
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154 | wsvs = wsvs * ABS( wsvs ) |
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155 | dwdy = wall_e_y(j,i) * wsvs / km(k,j,i) |
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156 | ELSE |
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157 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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158 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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159 | ENDIF |
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160 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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161 | |
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162 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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163 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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164 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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165 | |
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166 | IF ( def < 0.0 ) def = 0.0 |
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167 | |
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168 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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169 | |
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170 | ENDIF |
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171 | |
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172 | ENDDO |
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173 | |
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174 | ! |
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175 | !-- 3 - Wird nur ausgefuehrt, wenn mindestens ein Niveau |
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176 | !-- zwischen 2 und 4 liegt, d.h. ab einer Gebaeudemindest- |
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177 | !-- hoehe von 2 dz. 'Nur Wand: Wall functions' |
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178 | DO j = nys, nyn |
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179 | |
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180 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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181 | THEN |
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182 | |
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183 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
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184 | |
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185 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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186 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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187 | usvs = kappa * 0.5 * ( u(k,j,i) + u(k,j,i+1) ) & |
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188 | / LOG( 0.5 * dy / z0(j,i) ) |
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189 | usvs = usvs * ABS( usvs ) |
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190 | dudy = wall_e_y(j,i) * usvs / km(k,j,i) |
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191 | ELSE |
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192 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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193 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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194 | ENDIF |
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195 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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196 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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197 | |
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198 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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199 | vsus = kappa * 0.5 * ( v(k,j,i) + v(k,j+1,i) ) & |
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200 | / LOG( 0.5 * dx / z0(j,i)) |
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201 | vsus = vsus * ABS( vsus ) |
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202 | dvdx = wall_e_x(j,i) * vsus / km(k,j,i) |
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203 | ELSE |
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204 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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205 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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206 | ENDIF |
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207 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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208 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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209 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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210 | |
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211 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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212 | wsus = kappa * 0.5 * ( w(k,j,i) + w(k-1,j,i) ) & |
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213 | / LOG( 0.5 * dx / z0(j,i)) |
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214 | wsus = wsus * ABS( wsus ) |
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215 | dwdx = wall_e_x(j,i) * wsus / km(k,j,i) |
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216 | ELSE |
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217 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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218 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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219 | ENDIF |
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220 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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221 | wsvs = kappa * ( w(k,j,i) + w(k-1,j,i) ) & |
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222 | / LOG( 0.5 * dy / z0(j,i)) |
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223 | wsvs = wsvs * ABS( wsvs ) |
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224 | dwdy = wall_e_y(j,i) * wsvs / km(k,j,i) |
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225 | ELSE |
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226 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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227 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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228 | ENDIF |
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229 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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230 | |
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231 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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232 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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233 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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234 | |
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235 | IF ( def < 0.0 ) def = 0.0 |
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236 | |
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237 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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238 | |
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239 | ENDDO |
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240 | |
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241 | ENDIF |
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242 | |
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243 | ENDDO |
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244 | |
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245 | ! |
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246 | !-- 4 - Wird immer ausgefuehrt. |
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247 | !-- 'Sonderfall: Freie Atmosphaere' (wie bei 0) |
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248 | DO j = nys, nyn |
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249 | |
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250 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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251 | THEN |
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252 | |
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253 | k = nzb_diff_s_outer(j,i)-1 |
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254 | |
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255 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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256 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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257 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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258 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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259 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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260 | |
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261 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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262 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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263 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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264 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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265 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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266 | |
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267 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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268 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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269 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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270 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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271 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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272 | |
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273 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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274 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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275 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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276 | |
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277 | IF ( def < 0.0 ) def = 0.0 |
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278 | |
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279 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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280 | |
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281 | ENDIF |
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282 | |
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283 | ENDDO |
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284 | |
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285 | ! |
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286 | !-- Position ohne angrenzende Gebaeudewand |
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287 | !-- 1 - Wird immer ausgefuehrt. 'Nur Boden: u_0,v_0' |
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288 | DO j = nys, nyn |
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289 | |
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290 | IF ( ( wall_e_x(j,i) == 0.0 ) .AND. ( wall_e_y(j,i) == 0.0 ) ) & |
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291 | THEN |
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292 | |
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293 | k = nzb_diff_s_inner(j,i)-1 |
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294 | |
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295 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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296 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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297 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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298 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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299 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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300 | |
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301 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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302 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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303 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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304 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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305 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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306 | |
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307 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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308 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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309 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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310 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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311 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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312 | |
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313 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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314 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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315 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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316 | |
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317 | IF ( def < 0.0 ) def = 0.0 |
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318 | |
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319 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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320 | |
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321 | ENDIF |
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322 | |
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323 | ENDDO |
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324 | |
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325 | ELSEIF ( use_surface_fluxes ) THEN |
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326 | |
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327 | DO j = nys, nyn |
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328 | |
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329 | k = nzb_diff_s_outer(j,i)-1 |
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330 | |
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331 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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332 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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333 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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334 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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335 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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336 | |
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337 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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338 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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339 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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340 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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341 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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342 | |
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343 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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344 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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345 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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346 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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347 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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348 | |
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349 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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350 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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351 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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352 | |
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353 | IF ( def < 0.0 ) def = 0.0 |
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354 | |
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355 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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356 | |
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357 | ENDDO |
---|
358 | |
---|
359 | ENDIF |
---|
360 | |
---|
361 | ! |
---|
362 | !-- Calculate TKE production by buoyancy |
---|
363 | IF ( .NOT. moisture ) THEN |
---|
364 | |
---|
365 | DO j = nys, nyn |
---|
366 | |
---|
367 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
368 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / pt(k,j,i) * & |
---|
369 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
370 | ENDDO |
---|
371 | |
---|
372 | IF ( use_surface_fluxes ) THEN |
---|
373 | k = nzb_diff_s_inner(j,i)-1 |
---|
374 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
---|
375 | ENDIF |
---|
376 | |
---|
377 | IF ( use_top_fluxes ) THEN |
---|
378 | k = nzt |
---|
379 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
---|
380 | ENDIF |
---|
381 | |
---|
382 | ENDDO |
---|
383 | |
---|
384 | ELSE |
---|
385 | |
---|
386 | DO j = nys, nyn |
---|
387 | |
---|
388 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
389 | |
---|
390 | IF ( .NOT. cloud_physics ) THEN |
---|
391 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
392 | k2 = 0.61 * pt(k,j,i) |
---|
393 | ELSE |
---|
394 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
395 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
396 | k2 = 0.61 * pt(k,j,i) |
---|
397 | ELSE |
---|
398 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
399 | temp = theta * t_d_pt(k) |
---|
400 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
401 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
402 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
403 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
404 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
405 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
406 | ENDIF |
---|
407 | ENDIF |
---|
408 | |
---|
409 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
410 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
411 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
412 | ) * dd2zu(k) |
---|
413 | ENDDO |
---|
414 | |
---|
415 | ENDDO |
---|
416 | |
---|
417 | IF ( use_surface_fluxes ) THEN |
---|
418 | |
---|
419 | DO j = nys, nyn |
---|
420 | |
---|
421 | k = nzb_diff_s_inner(j,i) |
---|
422 | |
---|
423 | IF ( .NOT. cloud_physics ) THEN |
---|
424 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
425 | k2 = 0.61 * pt(k,j,i) |
---|
426 | ELSE |
---|
427 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
428 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
429 | k2 = 0.61 * pt(k,j,i) |
---|
430 | ELSE |
---|
431 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
432 | temp = theta * t_d_pt(k) |
---|
433 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
434 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
435 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
436 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
437 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
438 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
439 | ENDIF |
---|
440 | ENDIF |
---|
441 | |
---|
442 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
443 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
444 | ENDDO |
---|
445 | |
---|
446 | ENDIF |
---|
447 | |
---|
448 | IF ( use_top_fluxes ) THEN |
---|
449 | |
---|
450 | DO j = nys, nyn |
---|
451 | |
---|
452 | k = nzt |
---|
453 | |
---|
454 | IF ( .NOT. cloud_physics ) THEN |
---|
455 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
456 | k2 = 0.61 * pt(k,j,i) |
---|
457 | ELSE |
---|
458 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
459 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
460 | k2 = 0.61 * pt(k,j,i) |
---|
461 | ELSE |
---|
462 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
463 | temp = theta * t_d_pt(k) |
---|
464 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
465 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
466 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
467 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
468 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
469 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
470 | ENDIF |
---|
471 | ENDIF |
---|
472 | |
---|
473 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
474 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
475 | ENDDO |
---|
476 | |
---|
477 | ENDIF |
---|
478 | |
---|
479 | ENDIF |
---|
480 | |
---|
481 | ENDDO |
---|
482 | |
---|
483 | END SUBROUTINE production_e |
---|
484 | |
---|
485 | |
---|
486 | !------------------------------------------------------------------------------! |
---|
487 | ! Call for grid point i,j |
---|
488 | !------------------------------------------------------------------------------! |
---|
489 | SUBROUTINE production_e_ij( i, j ) |
---|
490 | |
---|
491 | USE arrays_3d |
---|
492 | USE cloud_parameters |
---|
493 | USE control_parameters |
---|
494 | USE grid_variables |
---|
495 | USE indices |
---|
496 | USE statistics |
---|
497 | |
---|
498 | IMPLICIT NONE |
---|
499 | |
---|
500 | INTEGER :: i, j, k |
---|
501 | |
---|
502 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
---|
503 | k1, k2, theta, temp, usvs, vsus, wsus,wsvs |
---|
504 | |
---|
505 | ! |
---|
506 | !-- Calculate TKE production by shear |
---|
507 | DO k = nzb_diff_s_outer(j,i), nzt |
---|
508 | |
---|
509 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
510 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
511 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
512 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
513 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
514 | |
---|
515 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
516 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
517 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
518 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
519 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
520 | |
---|
521 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
522 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
523 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
524 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
525 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
526 | |
---|
527 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
528 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
529 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
530 | |
---|
531 | IF ( def < 0.0 ) def = 0.0 |
---|
532 | |
---|
533 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
534 | |
---|
535 | ENDDO |
---|
536 | |
---|
537 | IF ( prandtl_layer ) THEN |
---|
538 | |
---|
539 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) THEN |
---|
540 | ! |
---|
541 | !-- Position neben Gebaeudewand |
---|
542 | !-- 2 - Wird immer ausgefuehrt. 'Boden und Wand: |
---|
543 | !-- u_0,v_0 und Wall functions' |
---|
544 | k = nzb_diff_s_inner(j,i)-1 |
---|
545 | |
---|
546 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
547 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
548 | usvs = kappa * 0.5 * ( u(k,j,i) + u(k,j,i+1) ) & |
---|
549 | / LOG( 0.5 * dy / z0(j,i) ) |
---|
550 | usvs = usvs * ABS( usvs ) |
---|
551 | dudy = wall_e_y(j,i) * usvs / km(k,j,i) |
---|
552 | ELSE |
---|
553 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
554 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
555 | ENDIF |
---|
556 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
557 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
558 | |
---|
559 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
560 | vsus = kappa * 0.5 * ( v(k,j,i) + v(k,j+1,i) ) & |
---|
561 | / LOG( 0.5 * dx / z0(j,i)) |
---|
562 | vsus = vsus * ABS( vsus ) |
---|
563 | dvdx = wall_e_x(j,i) * vsus / km(k,j,i) |
---|
564 | ELSE |
---|
565 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
566 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
567 | ENDIF |
---|
568 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
569 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
570 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
571 | |
---|
572 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
573 | wsus = kappa * 0.5 * ( w(k,j,i) + w(k-1,j,i) ) & |
---|
574 | / LOG( 0.5 * dx / z0(j,i)) |
---|
575 | wsus = wsus * ABS( wsus ) |
---|
576 | dwdx = wall_e_x(j,i) * wsus / km(k,j,i) |
---|
577 | ELSE |
---|
578 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
579 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
580 | ENDIF |
---|
581 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
582 | wsvs = kappa * ( w(k,j,i) + w(k-1,j,i) ) & |
---|
583 | / LOG( 0.5 * dy / z0(j,i)) |
---|
584 | wsvs = wsvs * ABS( wsvs ) |
---|
585 | dwdy = wall_e_y(j,i) * wsvs / km(k,j,i) |
---|
586 | ELSE |
---|
587 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
588 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
589 | ENDIF |
---|
590 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
591 | |
---|
592 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
593 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
594 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
595 | |
---|
596 | IF ( def < 0.0 ) def = 0.0 |
---|
597 | |
---|
598 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
599 | |
---|
600 | ! |
---|
601 | !-- 3 - Wird nur ausgefuehrt, wenn mindestens ein Niveau |
---|
602 | !-- zwischen 2 und 4 liegt, d.h. ab einer Gebaeudemindest- |
---|
603 | !-- hoehe von 2 dz. 'Nur Wand: Wall functions' |
---|
604 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
---|
605 | |
---|
606 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
607 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
608 | usvs = kappa * 0.5 * ( u(k,j,i) + u(k,j,i+1) ) & |
---|
609 | / LOG( 0.5 * dy / z0(j,i) ) |
---|
610 | usvs = usvs * ABS( usvs ) |
---|
611 | dudy = wall_e_y(j,i) * usvs / km(k,j,i) |
---|
612 | ELSE |
---|
613 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
614 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
615 | ENDIF |
---|
616 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
617 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
618 | |
---|
619 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
620 | vsus = kappa * 0.5 * ( v(k,j,i) + v(k,j+1,i) ) & |
---|
621 | / LOG( 0.5 * dx / z0(j,i)) |
---|
622 | vsus = vsus * ABS( vsus ) |
---|
623 | dvdx = wall_e_x(j,i) * vsus / km(k,j,i) |
---|
624 | ELSE |
---|
625 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
626 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
627 | ENDIF |
---|
628 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
629 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
630 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
631 | |
---|
632 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
633 | wsus = kappa * 0.5 * ( w(k,j,i) + w(k-1,j,i) ) & |
---|
634 | / LOG( 0.5 * dx / z0(j,i)) |
---|
635 | wsus = wsus * ABS( wsus ) |
---|
636 | dwdx = wall_e_x(j,i) * wsus / km(k,j,i) |
---|
637 | ELSE |
---|
638 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
639 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
640 | ENDIF |
---|
641 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
642 | wsvs = kappa * ( w(k,j,i) + w(k-1,j,i) ) & |
---|
643 | / LOG( 0.5 * dy / z0(j,i)) |
---|
644 | wsvs = wsvs * ABS( wsvs ) |
---|
645 | dwdy = wall_e_y(j,i) * wsvs / km(k,j,i) |
---|
646 | ELSE |
---|
647 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
648 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
649 | ENDIF |
---|
650 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
651 | |
---|
652 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
653 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
654 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
655 | |
---|
656 | IF ( def < 0.0 ) def = 0.0 |
---|
657 | |
---|
658 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
659 | |
---|
660 | ENDDO |
---|
661 | |
---|
662 | ! |
---|
663 | !-- 4 - Wird immer ausgefuehrt. |
---|
664 | !-- 'Sonderfall: Freie Atmosphaere' (wie bei 0) |
---|
665 | k = nzb_diff_s_outer(j,i)-1 |
---|
666 | |
---|
667 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
668 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
669 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
670 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
671 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
672 | |
---|
673 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
674 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
675 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
676 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
677 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
678 | |
---|
679 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
680 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
681 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
682 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
683 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
684 | |
---|
685 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
686 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
687 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
688 | |
---|
689 | IF ( def < 0.0 ) def = 0.0 |
---|
690 | |
---|
691 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
692 | |
---|
693 | ELSE |
---|
694 | |
---|
695 | ! |
---|
696 | !-- Position ohne angrenzende Gebaeudewand |
---|
697 | !-- 1 - Wird immer ausgefuehrt. 'Nur Boden: u_0,v_0' |
---|
698 | k = nzb_diff_s_inner(j,i)-1 |
---|
699 | |
---|
700 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
701 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
702 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
703 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
704 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
705 | |
---|
706 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
707 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
708 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
709 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
710 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
711 | |
---|
712 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
713 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
714 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
715 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
716 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
717 | |
---|
718 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
719 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
720 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
721 | |
---|
722 | IF ( def < 0.0 ) def = 0.0 |
---|
723 | |
---|
724 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
725 | |
---|
726 | ENDIF |
---|
727 | |
---|
728 | ELSEIF ( use_surface_fluxes ) THEN |
---|
729 | |
---|
730 | k = nzb_diff_s_outer(j,i)-1 |
---|
731 | |
---|
732 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
733 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
734 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
735 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
736 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
737 | |
---|
738 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
739 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
740 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
741 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
742 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
743 | |
---|
744 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
745 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
746 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
747 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
748 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
749 | |
---|
750 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
751 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
752 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
753 | |
---|
754 | IF ( def < 0.0 ) def = 0.0 |
---|
755 | |
---|
756 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
757 | |
---|
758 | ENDIF |
---|
759 | |
---|
760 | ! |
---|
761 | !-- Calculate TKE production by buoyancy |
---|
762 | IF ( .NOT. moisture ) THEN |
---|
763 | |
---|
764 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
765 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / pt(k,j,i) * & |
---|
766 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
767 | ENDDO |
---|
768 | |
---|
769 | IF ( use_surface_fluxes ) THEN |
---|
770 | k = nzb_diff_s_inner(j,i)-1 |
---|
771 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
---|
772 | ENDIF |
---|
773 | |
---|
774 | IF ( use_top_fluxes ) THEN |
---|
775 | k = nzt |
---|
776 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
---|
777 | ENDIF |
---|
778 | |
---|
779 | ELSE |
---|
780 | |
---|
781 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
782 | |
---|
783 | IF ( .NOT. cloud_physics ) THEN |
---|
784 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
785 | k2 = 0.61 * pt(k,j,i) |
---|
786 | ELSE |
---|
787 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
788 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
789 | k2 = 0.61 * pt(k,j,i) |
---|
790 | ELSE |
---|
791 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
792 | temp = theta * t_d_pt(k) |
---|
793 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
794 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
795 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
796 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
797 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
798 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
799 | ENDIF |
---|
800 | ENDIF |
---|
801 | |
---|
802 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
803 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
804 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
805 | ) * dd2zu(k) |
---|
806 | ENDDO |
---|
807 | |
---|
808 | IF ( use_surface_fluxes ) THEN |
---|
809 | k = nzb_diff_s_inner(j,i)-1 |
---|
810 | |
---|
811 | IF ( .NOT. cloud_physics ) THEN |
---|
812 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
813 | k2 = 0.61 * pt(k,j,i) |
---|
814 | ELSE |
---|
815 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
816 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
817 | k2 = 0.61 * pt(k,j,i) |
---|
818 | ELSE |
---|
819 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
820 | temp = theta * t_d_pt(k) |
---|
821 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
822 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
823 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
824 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
825 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
826 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
827 | ENDIF |
---|
828 | ENDIF |
---|
829 | |
---|
830 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
831 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
832 | ENDIF |
---|
833 | |
---|
834 | IF ( use_top_fluxes ) THEN |
---|
835 | k = nzt |
---|
836 | |
---|
837 | IF ( .NOT. cloud_physics ) THEN |
---|
838 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
839 | k2 = 0.61 * pt(k,j,i) |
---|
840 | ELSE |
---|
841 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
842 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
843 | k2 = 0.61 * pt(k,j,i) |
---|
844 | ELSE |
---|
845 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
846 | temp = theta * t_d_pt(k) |
---|
847 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
848 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
849 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
850 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
851 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
852 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
853 | ENDIF |
---|
854 | ENDIF |
---|
855 | |
---|
856 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
857 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
858 | ENDIF |
---|
859 | |
---|
860 | ENDIF |
---|
861 | |
---|
862 | END SUBROUTINE production_e_ij |
---|
863 | |
---|
864 | |
---|
865 | SUBROUTINE production_e_init |
---|
866 | |
---|
867 | USE arrays_3d |
---|
868 | USE control_parameters |
---|
869 | USE grid_variables |
---|
870 | USE indices |
---|
871 | |
---|
872 | IMPLICIT NONE |
---|
873 | |
---|
874 | INTEGER :: i, j, ku, kv |
---|
875 | |
---|
876 | IF ( prandtl_layer ) THEN |
---|
877 | |
---|
878 | IF ( first_call ) THEN |
---|
879 | ALLOCATE( u_0(nys-1:nyn+1,nxl-1:nxr+1), & |
---|
880 | v_0(nys-1:nyn+1,nxl-1:nxr+1) ) |
---|
881 | first_call = .FALSE. |
---|
882 | ENDIF |
---|
883 | |
---|
884 | ! |
---|
885 | !-- Calculate a virtual velocity at the surface in a way that the |
---|
886 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
---|
887 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
---|
888 | !-- production term at k=1 (see production_e_ij). |
---|
889 | !-- The velocity gradient has to be limited in case of too small km |
---|
890 | !-- (otherwise the timestep may be significantly reduced by large |
---|
891 | !-- surface winds). |
---|
892 | !-- WARNING: the exact analytical solution would require the determination |
---|
893 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
---|
894 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
---|
895 | DO i = nxl, nxr |
---|
896 | DO j = nys, nyn |
---|
897 | |
---|
898 | ku = nzb_u_inner(j,i)+1 |
---|
899 | kv = nzb_v_inner(j,i)+1 |
---|
900 | |
---|
901 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
---|
902 | ( 0.5 * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
---|
903 | 1.0E-20 ) |
---|
904 | ! ( us(j,i) * kappa * zu(1) ) |
---|
905 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
---|
906 | ( 0.5 * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
---|
907 | 1.0E-20 ) |
---|
908 | ! ( us(j,i) * kappa * zu(1) ) |
---|
909 | |
---|
910 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
---|
911 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
---|
912 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
---|
913 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
---|
914 | |
---|
915 | ENDDO |
---|
916 | ENDDO |
---|
917 | |
---|
918 | CALL exchange_horiz_2d( u_0 ) |
---|
919 | CALL exchange_horiz_2d( v_0 ) |
---|
920 | |
---|
921 | ENDIF |
---|
922 | |
---|
923 | END SUBROUTINE production_e_init |
---|
924 | |
---|
925 | END MODULE production_e_mod |
---|