1 | MODULE diffusion_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: diffusion_e.f90 826 2012-02-19 03:41:34Z hoffmann $ |
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11 | ! |
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12 | ! 825 2012-02-19 03:03:44Z raasch |
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13 | ! wang_collision_kernel renamed wang_kernel |
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14 | ! |
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15 | ! 790 2011-11-29 03:11:20Z raasch |
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16 | ! diss is also calculated in case that the Wang kernel is used |
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17 | ! |
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18 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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19 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
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20 | ! |
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21 | ! 97 2007-06-21 08:23:15Z raasch |
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22 | ! Adjustment of mixing length calculation for the ocean version. zw added to |
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23 | ! argument list. |
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24 | ! This is also a bugfix, because the height above the topography is now |
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25 | ! used instead of the height above level k=0. |
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26 | ! theta renamed var, dpt_dz renamed dvar_dz, +new argument var_reference |
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27 | ! use_pt_reference renamed use_reference |
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28 | ! |
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29 | ! 65 2007-03-13 12:11:43Z raasch |
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30 | ! Reference temperature pt_reference can be used in buoyancy term |
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31 | ! |
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32 | ! 20 2007-02-26 00:12:32Z raasch |
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33 | ! Bugfix: ddzw dimensioned 1:nzt"+1" |
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34 | ! Calculation extended for gridpoint nzt |
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35 | ! |
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36 | ! RCS Log replace by Id keyword, revision history cleaned up |
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37 | ! |
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38 | ! Revision 1.18 2006/08/04 14:29:43 raasch |
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39 | ! dissipation is stored in extra array diss if needed later on for calculating |
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40 | ! the sgs particle velocities |
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41 | ! |
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42 | ! Revision 1.1 1997/09/19 07:40:24 raasch |
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43 | ! Initial revision |
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44 | ! |
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45 | ! |
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46 | ! Description: |
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47 | ! ------------ |
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48 | ! Diffusion- and dissipation terms for the TKE |
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49 | !------------------------------------------------------------------------------! |
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50 | |
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51 | PRIVATE |
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52 | PUBLIC diffusion_e |
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53 | |
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54 | |
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55 | INTERFACE diffusion_e |
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56 | MODULE PROCEDURE diffusion_e |
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57 | MODULE PROCEDURE diffusion_e_ij |
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58 | END INTERFACE diffusion_e |
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59 | |
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60 | CONTAINS |
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61 | |
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62 | |
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63 | !------------------------------------------------------------------------------! |
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64 | ! Call for all grid points |
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65 | !------------------------------------------------------------------------------! |
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66 | SUBROUTINE diffusion_e( ddzu, dd2zu, ddzw, diss, e, km, l_grid, var, & |
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67 | var_reference, rif, tend, zu, zw ) |
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68 | |
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69 | USE control_parameters |
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70 | USE grid_variables |
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71 | USE indices |
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72 | USE particle_attributes |
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73 | |
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74 | IMPLICIT NONE |
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75 | |
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76 | INTEGER :: i, j, k |
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77 | REAL :: dvar_dz, l_stable, phi_m, var_reference |
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78 | REAL :: ddzu(1:nzt+1), dd2zu(1:nzt), ddzw(1:nzt+1), & |
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79 | l_grid(1:nzt), zu(nzb:nzt+1), zw(nzb:nzt+1) |
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80 | REAL, DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: diss, tend |
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81 | REAL, DIMENSION(:,:), POINTER :: rif |
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82 | REAL, DIMENSION(:,:,:), POINTER :: e, km, var |
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83 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: dissipation, l, ll |
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84 | |
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85 | |
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86 | ! |
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87 | !-- This if clause must be outside the k-loop because otherwise |
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88 | !-- runtime errors occur with -C hopt on NEC |
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89 | IF ( use_reference ) THEN |
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90 | |
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91 | DO i = nxl, nxr |
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92 | DO j = nys, nyn |
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93 | ! |
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94 | !-- First, calculate phi-function for eventually adjusting the & |
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95 | !-- mixing length to the prandtl mixing length |
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96 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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97 | IF ( rif(j,i) >= 0.0 ) THEN |
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98 | phi_m = 1.0 + 5.0 * rif(j,i) |
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99 | ELSE |
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100 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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101 | ENDIF |
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102 | ENDIF |
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103 | |
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104 | DO k = nzb_s_inner(j,i)+1, nzt |
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105 | ! |
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106 | !-- Calculate the mixing length (for dissipation) |
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107 | dvar_dz = atmos_ocean_sign * & |
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108 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
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109 | IF ( dvar_dz > 0.0 ) THEN |
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110 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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111 | SQRT( g / var_reference * dvar_dz ) + 1E-5 |
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112 | ELSE |
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113 | l_stable = l_grid(k) |
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114 | ENDIF |
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115 | ! |
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116 | !-- Adjustment of the mixing length |
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117 | IF ( wall_adjustment ) THEN |
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118 | l(k,j) = MIN( wall_adjustment_factor * & |
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119 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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120 | l_grid(k), l_stable ) |
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121 | ll(k,j) = MIN( wall_adjustment_factor * & |
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122 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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123 | l_grid(k) ) |
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124 | ELSE |
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125 | l(k,j) = MIN( l_grid(k), l_stable ) |
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126 | ll(k,j) = l_grid(k) |
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127 | ENDIF |
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128 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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129 | l(k,j) = MIN( l(k,j), kappa * & |
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130 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
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131 | / phi_m ) |
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132 | ll(k,j) = MIN( ll(k,j), kappa * & |
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133 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
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134 | / phi_m ) |
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135 | ENDIF |
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136 | |
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137 | ENDDO |
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138 | ENDDO |
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139 | |
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140 | ! |
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141 | !-- Calculate the tendency terms |
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142 | DO j = nys, nyn |
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143 | DO k = nzb_s_inner(j,i)+1, nzt |
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144 | |
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145 | dissipation(k,j) = ( 0.19 + 0.74 * l(k,j) / ll(k,j) ) * & |
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146 | e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j) |
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147 | |
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148 | tend(k,j,i) = tend(k,j,i) & |
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149 | + ( & |
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150 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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151 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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152 | ) * ddx2 & |
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153 | + ( & |
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154 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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155 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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156 | ) * ddy2 & |
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157 | + ( & |
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158 | ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) & |
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159 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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160 | ) * ddzw(k) & |
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161 | - dissipation(k,j) |
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162 | |
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163 | ENDDO |
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164 | ENDDO |
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165 | |
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166 | ! |
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167 | !-- Store dissipation if needed for calculating the sgs particle |
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168 | !-- velocities |
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169 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
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170 | DO j = nys, nyn |
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171 | DO k = nzb_s_inner(j,i)+1, nzt |
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172 | diss(k,j,i) = dissipation(k,j) |
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173 | ENDDO |
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174 | ENDDO |
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175 | ENDIF |
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176 | |
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177 | ENDDO |
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178 | |
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179 | ELSE |
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180 | |
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181 | DO i = nxl, nxr |
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182 | DO j = nys, nyn |
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183 | ! |
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184 | !-- First, calculate phi-function for eventually adjusting the & |
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185 | !-- mixing length to the prandtl mixing length |
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186 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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187 | IF ( rif(j,i) >= 0.0 ) THEN |
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188 | phi_m = 1.0 + 5.0 * rif(j,i) |
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189 | ELSE |
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190 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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191 | ENDIF |
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192 | ENDIF |
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193 | |
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194 | DO k = nzb_s_inner(j,i)+1, nzt |
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195 | ! |
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196 | !-- Calculate the mixing length (for dissipation) |
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197 | dvar_dz = atmos_ocean_sign * & |
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198 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
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199 | IF ( dvar_dz > 0.0 ) THEN |
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200 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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201 | SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5 |
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202 | ELSE |
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203 | l_stable = l_grid(k) |
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204 | ENDIF |
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205 | ! |
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206 | !-- Adjustment of the mixing length |
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207 | IF ( wall_adjustment ) THEN |
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208 | l(k,j) = MIN( wall_adjustment_factor * & |
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209 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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210 | l_grid(k), l_stable ) |
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211 | ll(k,j) = MIN( wall_adjustment_factor * & |
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212 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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213 | l_grid(k) ) |
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214 | ELSE |
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215 | l(k,j) = MIN( l_grid(k), l_stable ) |
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216 | ll(k,j) = l_grid(k) |
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217 | ENDIF |
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218 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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219 | l(k,j) = MIN( l(k,j), kappa * & |
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220 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
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221 | / phi_m ) |
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222 | ll(k,j) = MIN( ll(k,j), kappa * & |
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223 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
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224 | / phi_m ) |
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225 | ENDIF |
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226 | |
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227 | ENDDO |
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228 | ENDDO |
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229 | |
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230 | ! |
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231 | !-- Calculate the tendency terms |
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232 | DO j = nys, nyn |
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233 | DO k = nzb_s_inner(j,i)+1, nzt |
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234 | |
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235 | dissipation(k,j) = ( 0.19 + 0.74 * l(k,j) / ll(k,j) ) * & |
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236 | e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j) |
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237 | |
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238 | tend(k,j,i) = tend(k,j,i) & |
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239 | + ( & |
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240 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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241 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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242 | ) * ddx2 & |
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243 | + ( & |
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244 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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245 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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246 | ) * ddy2 & |
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247 | + ( & |
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248 | ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) & |
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249 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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250 | ) * ddzw(k) & |
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251 | - dissipation(k,j) |
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252 | |
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253 | ENDDO |
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254 | ENDDO |
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255 | |
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256 | ! |
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257 | !-- Store dissipation if needed for calculating the sgs particle |
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258 | !-- velocities |
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259 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
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260 | DO j = nys, nyn |
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261 | DO k = nzb_s_inner(j,i)+1, nzt |
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262 | diss(k,j,i) = dissipation(k,j) |
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263 | ENDDO |
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264 | ENDDO |
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265 | ENDIF |
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266 | |
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267 | ENDDO |
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268 | |
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269 | ENDIF |
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270 | |
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271 | ! |
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272 | !-- Boundary condition for dissipation |
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273 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
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274 | DO i = nxl, nxr |
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275 | DO j = nys, nyn |
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276 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
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277 | ENDDO |
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278 | ENDDO |
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279 | ENDIF |
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280 | |
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281 | END SUBROUTINE diffusion_e |
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282 | |
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283 | |
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284 | !------------------------------------------------------------------------------! |
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285 | ! Call for grid point i,j |
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286 | !------------------------------------------------------------------------------! |
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287 | SUBROUTINE diffusion_e_ij( i, j, ddzu, dd2zu, ddzw, diss, e, km, l_grid, & |
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288 | var, var_reference, rif, tend, zu, zw ) |
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289 | |
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290 | USE control_parameters |
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291 | USE grid_variables |
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292 | USE indices |
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293 | USE particle_attributes |
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294 | |
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295 | IMPLICIT NONE |
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296 | |
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297 | INTEGER :: i, j, k |
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298 | REAL :: dvar_dz, l_stable, phi_m, var_reference |
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299 | REAL :: ddzu(1:nzt+1), dd2zu(1:nzt), ddzw(1:nzt+1), & |
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300 | l_grid(1:nzt), zu(nzb:nzt+1), zw(nzb:nzt+1) |
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301 | REAL, DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: diss, tend |
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302 | REAL, DIMENSION(:,:), POINTER :: rif |
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303 | REAL, DIMENSION(:,:,:), POINTER :: e, km, var |
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304 | REAL, DIMENSION(nzb+1:nzt) :: dissipation, l, ll |
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305 | |
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306 | |
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307 | ! |
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308 | !-- First, calculate phi-function for eventually adjusting the mixing length |
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309 | !-- to the prandtl mixing length |
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310 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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311 | IF ( rif(j,i) >= 0.0 ) THEN |
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312 | phi_m = 1.0 + 5.0 * rif(j,i) |
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313 | ELSE |
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314 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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315 | ENDIF |
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316 | ENDIF |
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317 | |
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318 | ! |
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319 | !-- Calculate the mixing length (for dissipation) |
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320 | DO k = nzb_s_inner(j,i)+1, nzt |
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321 | dvar_dz = atmos_ocean_sign * & |
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322 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
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323 | IF ( dvar_dz > 0.0 ) THEN |
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324 | IF ( use_reference ) THEN |
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325 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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326 | SQRT( g / var_reference * dvar_dz ) + 1E-5 |
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327 | ELSE |
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328 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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329 | SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5 |
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330 | ENDIF |
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331 | ELSE |
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332 | l_stable = l_grid(k) |
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333 | ENDIF |
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334 | ! |
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335 | !-- Adjustment of the mixing length |
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336 | IF ( wall_adjustment ) THEN |
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337 | l(k) = MIN( wall_adjustment_factor * & |
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338 | ( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k), & |
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339 | l_stable ) |
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340 | ll(k) = MIN( wall_adjustment_factor * & |
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341 | ( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k) ) |
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342 | ELSE |
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343 | l(k) = MIN( l_grid(k), l_stable ) |
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344 | ll(k) = l_grid(k) |
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345 | ENDIF |
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346 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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347 | l(k) = MIN( l(k), kappa * & |
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348 | ( zu(k) - zw(nzb_s_inner(j,i)) ) / phi_m ) |
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349 | ll(k) = MIN( ll(k), kappa * & |
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350 | ( zu(k) - zw(nzb_s_inner(j,i)) ) / phi_m ) |
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351 | ENDIF |
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352 | |
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353 | ! |
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354 | !-- Calculate the tendency term |
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355 | dissipation(k) = ( 0.19 + 0.74 * l(k) / ll(k) ) * e(k,j,i) * & |
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356 | SQRT( e(k,j,i) ) / l(k) |
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357 | |
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358 | tend(k,j,i) = tend(k,j,i) & |
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359 | + ( & |
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360 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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361 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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362 | ) * ddx2 & |
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363 | + ( & |
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364 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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365 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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366 | ) * ddy2 & |
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367 | + ( & |
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368 | ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) & |
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369 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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370 | ) * ddzw(k) & |
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371 | - dissipation(k) |
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372 | |
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373 | ENDDO |
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374 | |
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375 | ! |
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376 | !-- Store dissipation if needed for calculating the sgs particle velocities |
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377 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
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378 | DO k = nzb_s_inner(j,i)+1, nzt |
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379 | diss(k,j,i) = dissipation(k) |
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380 | ENDDO |
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381 | ! |
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382 | !-- Boundary condition for dissipation |
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383 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
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384 | ENDIF |
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385 | |
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386 | END SUBROUTINE diffusion_e_ij |
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387 | |
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388 | END MODULE diffusion_e_mod |
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