1 | MODULE diffusion_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 |
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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 19 2007-02-23 04:53:48Z raasch $ |
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11 | ! RCS Log replace by Id keyword, revision history cleaned up |
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12 | ! |
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13 | ! Revision 1.18 2006/08/04 14:29:43 raasch |
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14 | ! dissipation is stored in extra array diss if needed later on for calculating |
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15 | ! the sgs particle velocities |
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16 | ! |
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17 | ! Revision 1.1 1997/09/19 07:40:24 raasch |
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18 | ! Initial revision |
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19 | ! |
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20 | ! |
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21 | ! Description: |
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22 | ! ------------ |
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23 | ! Diffusion- and dissipation terms for the TKE |
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24 | !------------------------------------------------------------------------------! |
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25 | |
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26 | PRIVATE |
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27 | PUBLIC diffusion_e |
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28 | |
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29 | |
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30 | INTERFACE diffusion_e |
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31 | MODULE PROCEDURE diffusion_e |
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32 | MODULE PROCEDURE diffusion_e_ij |
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33 | END INTERFACE diffusion_e |
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34 | |
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35 | CONTAINS |
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36 | |
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37 | |
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38 | !------------------------------------------------------------------------------! |
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39 | ! Call for all grid points |
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40 | !------------------------------------------------------------------------------! |
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41 | SUBROUTINE diffusion_e( ddzu, dd2zu, ddzw, diss, e, km, l_grid, theta, & |
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42 | rif, tend, zu ) |
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43 | |
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44 | USE control_parameters |
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45 | USE grid_variables |
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46 | USE indices |
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47 | USE particle_attributes |
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48 | |
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49 | IMPLICIT NONE |
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50 | |
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51 | INTEGER :: i, j, k |
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52 | REAL :: dpt_dz, l_stable, phi_m |
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53 | REAL :: ddzu(1:nzt+1), dd2zu(1:nzt), ddzw(1:nzt), & |
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54 | l_grid(1:nzt), zu(0:nzt+1) |
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55 | REAL, DIMENSION(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) :: diss, tend |
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56 | REAL, DIMENSION(:,:), POINTER :: rif |
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57 | REAL, DIMENSION(:,:,:), POINTER :: e, km, theta |
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58 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: dissipation, l, ll |
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59 | |
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60 | |
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61 | DO i = nxl, nxr |
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62 | DO j = nys, nyn |
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63 | ! |
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64 | !-- First, calculate phi-function for eventually adjusting the & |
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65 | !-- mixing length to the prandtl mixing length |
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66 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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67 | IF ( rif(j,i) >= 0.0 ) THEN |
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68 | phi_m = 1.0 + 5.0 * rif(j,i) |
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69 | ELSE |
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70 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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71 | ENDIF |
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72 | ENDIF |
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73 | |
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74 | DO k = nzb_s_inner(j,i)+1, nzt |
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75 | ! |
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76 | !-- Calculate the mixing length (for dissipation) |
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77 | dpt_dz = ( theta(k+1,j,i) - theta(k-1,j,i) ) * dd2zu(k) |
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78 | IF ( dpt_dz > 0.0 ) THEN |
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79 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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80 | SQRT( g / theta(k,j,i) * dpt_dz ) + 1E-5 |
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81 | ELSE |
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82 | l_stable = l_grid(k) |
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83 | ENDIF |
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84 | ! |
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85 | !-- Adjustment of the mixing length |
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86 | IF ( wall_adjustment ) THEN |
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87 | l(k,j) = MIN( wall_adjustment_factor * zu(k), l_grid(k), & |
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88 | l_stable ) |
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89 | ll(k,j) = MIN( wall_adjustment_factor * zu(k), l_grid(k) ) |
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90 | ELSE |
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91 | l(k,j) = MIN( l_grid(k), l_stable ) |
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92 | ll(k,j) = l_grid(k) |
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93 | ENDIF |
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94 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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95 | l(k,j) = MIN( l(k,j), kappa * zu(k) / phi_m ) |
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96 | ll(k,j) = MIN( ll(k,j), kappa * zu(k) / phi_m ) |
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97 | ENDIF |
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98 | |
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99 | ENDDO |
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100 | ENDDO |
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101 | ! |
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102 | !-- Calculate the tendency terms |
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103 | DO j = nys, nyn |
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104 | DO k = nzb_s_inner(j,i)+1, nzt |
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105 | |
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106 | dissipation(k,j) = ( 0.19 + 0.74 * l(k,j) / ll(k,j) ) * & |
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107 | e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j) |
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108 | |
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109 | tend(k,j,i) = tend(k,j,i) & |
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110 | + ( & |
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111 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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112 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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113 | ) * ddx2 & |
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114 | + ( & |
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115 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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116 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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117 | ) * ddy2 & |
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118 | + ( & |
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119 | ( 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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120 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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121 | ) * ddzw(k) & |
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122 | - dissipation(k,j) |
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123 | |
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124 | ENDDO |
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125 | ENDDO |
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126 | |
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127 | ! |
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128 | !-- Store dissipation if needed for calculating the sgs particle |
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129 | !-- velocities |
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130 | IF ( use_sgs_for_particles ) THEN |
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131 | DO j = nys, nyn |
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132 | DO k = nzb_s_inner(j,i)+1, nzt |
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133 | diss(k,j,i) = dissipation(k,j) |
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134 | ENDDO |
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135 | ENDDO |
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136 | ENDIF |
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137 | |
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138 | ENDDO |
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139 | |
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140 | ! |
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141 | !-- Boundary condition for dissipation |
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142 | IF ( use_sgs_for_particles ) THEN |
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143 | DO i = nxl, nxr |
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144 | DO j = nys, nyn |
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145 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
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146 | ENDDO |
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147 | ENDDO |
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148 | ENDIF |
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149 | |
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150 | END SUBROUTINE diffusion_e |
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151 | |
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152 | |
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153 | !------------------------------------------------------------------------------! |
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154 | ! Call for grid point i,j |
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155 | !------------------------------------------------------------------------------! |
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156 | SUBROUTINE diffusion_e_ij( i, j, ddzu, dd2zu, ddzw, diss, e, km, l_grid, & |
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157 | theta, rif, tend, zu ) |
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158 | |
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159 | USE control_parameters |
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160 | USE grid_variables |
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161 | USE indices |
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162 | USE particle_attributes |
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163 | |
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164 | IMPLICIT NONE |
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165 | |
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166 | INTEGER :: i, j, k |
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167 | REAL :: dpt_dz, l_stable, phi_m |
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168 | REAL :: ddzu(1:nzt+1), dd2zu(1:nzt), ddzw(1:nzt), & |
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169 | l_grid(1:nzt), zu(0:nzt+1) |
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170 | REAL, DIMENSION(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) :: diss, tend |
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171 | REAL, DIMENSION(:,:), POINTER :: rif |
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172 | REAL, DIMENSION(:,:,:), POINTER :: e, km, theta |
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173 | REAL, DIMENSION(nzb+1:nzt) :: dissipation, l, ll |
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174 | |
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175 | |
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176 | ! |
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177 | !-- First, calculate phi-function for eventually adjusting the mixing length |
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178 | !-- to the prandtl mixing length |
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179 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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180 | IF ( rif(j,i) >= 0.0 ) THEN |
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181 | phi_m = 1.0 + 5.0 * rif(j,i) |
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182 | ELSE |
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183 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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184 | ENDIF |
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185 | ENDIF |
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186 | |
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187 | ! |
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188 | !-- Calculate the mixing length (for dissipation) |
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189 | DO k = nzb_s_inner(j,i)+1, nzt |
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190 | dpt_dz = ( theta(k+1,j,i) - theta(k-1,j,i) ) * dd2zu(k) |
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191 | IF ( dpt_dz > 0.0 ) THEN |
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192 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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193 | SQRT( g / theta(k,j,i) * dpt_dz ) + 1E-5 |
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194 | ELSE |
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195 | l_stable = l_grid(k) |
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196 | ENDIF |
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197 | ! |
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198 | !-- Adjustment of the mixing length |
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199 | IF ( wall_adjustment ) THEN |
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200 | l(k) = MIN( wall_adjustment_factor * zu(k), l_grid(k), l_stable ) |
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201 | ll(k) = MIN( wall_adjustment_factor * zu(k), l_grid(k) ) |
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202 | ELSE |
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203 | l(k) = MIN( l_grid(k), l_stable ) |
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204 | ll(k) = l_grid(k) |
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205 | ENDIF |
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206 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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207 | l(k) = MIN( l(k), kappa * zu(k) / phi_m ) |
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208 | ll(k) = MIN( ll(k), kappa * zu(k) / phi_m ) |
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209 | ENDIF |
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210 | |
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211 | ! |
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212 | !-- Calculate the tendency term |
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213 | dissipation(k) = ( 0.19 + 0.74 * l(k) / ll(k) ) * e(k,j,i) * & |
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214 | SQRT( e(k,j,i) ) / l(k) |
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215 | |
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216 | tend(k,j,i) = tend(k,j,i) & |
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217 | + ( & |
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218 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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219 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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220 | ) * ddx2 & |
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221 | + ( & |
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222 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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223 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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224 | ) * ddy2 & |
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225 | + ( & |
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226 | ( 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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227 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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228 | ) * ddzw(k) & |
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229 | - dissipation(k) |
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230 | |
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231 | ENDDO |
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232 | |
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233 | ! |
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234 | !-- Store dissipation if needed for calculating the sgs particle velocities |
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235 | IF ( use_sgs_for_particles ) THEN |
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236 | DO k = nzb_s_inner(j,i)+1, nzt |
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237 | diss(k,j,i) = dissipation(k) |
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238 | ENDDO |
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239 | ! |
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240 | !-- Boundary condition for dissipation |
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241 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
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242 | ENDIF |
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243 | |
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244 | END SUBROUTINE diffusion_e_ij |
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245 | |
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246 | END MODULE diffusion_e_mod |
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