1 | SUBROUTINE diffusivities( var, var_reference ) |
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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 | ! Former revisions: |
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8 | ! ----------------- |
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9 | ! $Id: diffusivities.f90 668 2010-12-23 13:22:58Z raasch $ |
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10 | ! |
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11 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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12 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
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13 | ! |
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14 | ! 137 2007-11-28 08:50:10Z letzel |
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15 | ! Bugfix for summation of sums_l_l for flow_statistics |
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16 | ! Vertical scalar profiles now based on nzb_s_inner and ngp_2dh_s_inner. |
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17 | ! |
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18 | ! 97 2007-06-21 08:23:15Z raasch |
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19 | ! Adjustment of mixing length calculation for the ocean version. |
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20 | ! This is also a bugfix, because the height above the topography is now |
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21 | ! used instead of the height above level k=0. |
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22 | ! theta renamed var, dpt_dz renamed dvar_dz, +new argument var_reference |
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23 | ! use_pt_reference renamed use_reference |
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24 | ! |
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25 | ! 57 2007-03-09 12:05:41Z raasch |
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26 | ! Reference temperature pt_reference can be used in buoyancy term |
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27 | ! |
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28 | ! RCS Log replace by Id keyword, revision history cleaned up |
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29 | ! |
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30 | ! Revision 1.24 2006/04/26 12:16:26 raasch |
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31 | ! OpenMP optimization (+sums_l_l_t), sqrt_e must be private |
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32 | ! |
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33 | ! Revision 1.1 1997/09/19 07:41:10 raasch |
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34 | ! Initial revision |
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35 | ! |
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36 | ! |
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37 | ! Description: |
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38 | ! ------------ |
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39 | ! Computation of the turbulent diffusion coefficients for momentum and heat |
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40 | ! according to Prandtl-Kolmogorov |
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41 | !------------------------------------------------------------------------------! |
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42 | |
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43 | USE arrays_3d |
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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 pegrid |
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48 | USE statistics |
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49 | |
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50 | IMPLICIT NONE |
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51 | |
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52 | INTEGER :: i, j, k, omp_get_thread_num, sr, tn |
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53 | |
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54 | REAL :: dvar_dz, l_stable, var_reference |
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55 | |
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56 | REAL, SAVE :: phi_m = 1.0 |
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57 | |
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58 | REAL :: var(nzb:nzt+1,nysg:nyng,nxlg:nxrg) |
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59 | |
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60 | REAL, DIMENSION(1:nzt) :: l, ll, sqrt_e |
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61 | |
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62 | |
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63 | ! |
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64 | !-- Default thread number in case of one thread |
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65 | tn = 0 |
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66 | |
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67 | ! |
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68 | !-- Initialization for calculation of the mixing length profile |
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69 | sums_l_l = 0.0 |
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70 | |
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71 | ! |
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72 | !-- Compute the turbulent diffusion coefficient for momentum |
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73 | !$OMP PARALLEL PRIVATE (dvar_dz,i,j,k,l,ll,l_stable,phi_m,sqrt_e,sr,tn) |
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74 | !$ tn = omp_get_thread_num() |
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75 | |
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76 | !$OMP DO |
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77 | DO i = nxlg, nxrg |
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78 | DO j = nysg, nyng |
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79 | |
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80 | ! |
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81 | !-- Compute the Phi-function for a possible adaption of the mixing length |
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82 | !-- to the Prandtl mixing length |
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83 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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84 | IF ( rif(j,i) >= 0.0 ) THEN |
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85 | phi_m = 1.0 + 5.0 * rif(j,i) |
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86 | ELSE |
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87 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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88 | ENDIF |
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89 | ENDIF |
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90 | |
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91 | ! |
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92 | !-- Introduce an optional minimum tke |
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93 | IF ( e_min > 0.0 ) THEN |
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94 | DO k = nzb_s_inner(j,i)+1, nzt |
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95 | e(k,j,i) = MAX( e(k,j,i), e_min ) |
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96 | ENDDO |
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97 | ENDIF |
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98 | |
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99 | ! |
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100 | !-- Calculate square root of e in a seperate loop, because it is used |
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101 | !-- twice in the next loop (better vectorization) |
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102 | DO k = nzb_s_inner(j,i)+1, nzt |
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103 | sqrt_e(k) = SQRT( e(k,j,i) ) |
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104 | ENDDO |
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105 | |
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106 | ! |
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107 | !-- Determine the mixing length |
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108 | DO k = nzb_s_inner(j,i)+1, nzt |
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109 | dvar_dz = atmos_ocean_sign * & ! inverse effect of pt/rho gradient |
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110 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
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111 | IF ( dvar_dz > 0.0 ) THEN |
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112 | IF ( use_reference ) THEN |
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113 | l_stable = 0.76 * sqrt_e(k) / & |
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114 | SQRT( g / var_reference * dvar_dz ) + 1E-5 |
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115 | ELSE |
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116 | l_stable = 0.76 * sqrt_e(k) / & |
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117 | SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5 |
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118 | ENDIF |
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119 | ELSE |
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120 | l_stable = l_grid(k) |
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121 | ENDIF |
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122 | ! |
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123 | !-- Adjustment of the mixing length |
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124 | IF ( wall_adjustment ) THEN |
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125 | l(k) = MIN( l_wall(k,j,i), l_grid(k), l_stable ) |
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126 | ll(k) = MIN( l_wall(k,j,i), l_grid(k) ) |
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127 | ELSE |
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128 | l(k) = MIN( l_grid(k), l_stable ) |
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129 | ll(k) = l_grid(k) |
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130 | ENDIF |
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131 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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132 | l(k) = MIN( l(k), kappa * & |
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133 | ( zu(k) - zw(nzb_s_inner(j,i)) ) / phi_m ) |
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134 | ll(k) = MIN( ll(k), kappa * & |
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135 | ( zu(k) - zw(nzb_s_inner(j,i)) ) / phi_m ) |
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136 | ENDIF |
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137 | |
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138 | ! |
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139 | !-- Compute diffusion coefficients for momentum and heat |
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140 | km(k,j,i) = 0.1 * l(k) * sqrt_e(k) |
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141 | kh(k,j,i) = ( 1.0 + 2.0 * l(k) / ll(k) ) * km(k,j,i) |
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142 | |
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143 | ENDDO |
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144 | |
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145 | ! |
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146 | !-- Summation for averaged profile (cf. flow_statistics) |
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147 | !-- (the IF statement still requires a performance check on NEC machines) |
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148 | DO sr = 0, statistic_regions |
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149 | IF ( rmask(j,i,sr) /= 0.0 .AND. & |
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150 | i >= nxl .AND. i <= nxr .AND. j >= nys .AND. j <= nyn ) THEN |
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151 | DO k = nzb_s_inner(j,i)+1, nzt |
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152 | sums_l_l(k,sr,tn) = sums_l_l(k,sr,tn) + l(k) |
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153 | ENDDO |
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154 | ENDIF |
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155 | ENDDO |
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156 | |
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157 | ENDDO |
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158 | ENDDO |
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159 | |
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160 | sums_l_l(nzt+1,:,tn) = sums_l_l(nzt,:,tn) ! quasi boundary-condition for |
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161 | ! data output |
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162 | |
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163 | !$OMP END PARALLEL |
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164 | |
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165 | ! |
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166 | !-- Set vertical boundary values (Neumann conditions both at bottom and top). |
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167 | !-- Horizontal boundary conditions at vertical walls are not set because |
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168 | !-- so far vertical walls require usage of a Prandtl-layer where the boundary |
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169 | !-- values of the diffusivities are not needed |
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170 | !$OMP PARALLEL DO |
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171 | DO i = nxlg, nxrg |
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172 | DO j = nysg, nyng |
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173 | km(nzb_s_inner(j,i),j,i) = km(nzb_s_inner(j,i)+1,j,i) |
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174 | km(nzt+1,j,i) = km(nzt,j,i) |
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175 | kh(nzb_s_inner(j,i),j,i) = kh(nzb_s_inner(j,i)+1,j,i) |
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176 | kh(nzt+1,j,i) = kh(nzt,j,i) |
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177 | ENDDO |
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178 | ENDDO |
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179 | |
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180 | ! |
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181 | !-- Set Neumann boundary conditions at the outflow boundaries in case of |
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182 | !-- non-cyclic lateral boundaries |
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183 | IF ( outflow_l ) THEN |
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184 | km(:,:,nxl-1) = km(:,:,nxl) |
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185 | kh(:,:,nxl-1) = kh(:,:,nxl) |
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186 | ENDIF |
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187 | IF ( outflow_r ) THEN |
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188 | km(:,:,nxr+1) = km(:,:,nxr) |
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189 | kh(:,:,nxr+1) = kh(:,:,nxr) |
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190 | ENDIF |
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191 | IF ( outflow_s ) THEN |
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192 | km(:,nys-1,:) = km(:,nys,:) |
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193 | kh(:,nys-1,:) = kh(:,nys,:) |
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194 | ENDIF |
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195 | IF ( outflow_n ) THEN |
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196 | km(:,nyn+1,:) = km(:,nyn,:) |
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197 | kh(:,nyn+1,:) = kh(:,nyn,:) |
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198 | ENDIF |
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199 | |
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200 | |
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201 | END SUBROUTINE diffusivities |
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