1 | SUBROUTINE lpm_init_sgs_tke |
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2 | |
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3 | !--------------------------------------------------------------------------------! |
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4 | ! This file is part of PALM. |
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5 | ! |
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6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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8 | ! either version 3 of the License, or (at your option) any later version. |
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9 | ! |
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10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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13 | ! |
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14 | ! You should have received a copy of the GNU General Public License along with |
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15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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16 | ! |
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17 | ! Copyright 1997-2012 Leibniz University Hannover |
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18 | !--------------------------------------------------------------------------------! |
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19 | ! |
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20 | ! Current revisions: |
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21 | ! ------------------ |
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22 | ! |
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23 | ! |
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24 | ! Former revisions: |
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25 | ! ----------------- |
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26 | ! $Id: lpm_init_sgs_tke.f90 1037 2012-10-22 14:10:22Z witha $ |
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27 | ! |
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28 | ! 1036 2012-10-22 13:43:42Z raasch |
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29 | ! code put under GPL (PALM 3.9) |
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30 | ! |
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31 | ! 849 2012-03-15 10:35:09Z raasch |
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32 | ! initial revision (former part of advec_particles) |
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33 | ! |
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34 | ! |
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35 | ! Description: |
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36 | ! ------------ |
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37 | ! Calculates quantities required for considering the SGS velocity fluctuations |
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38 | ! in the particle transport by a stochastic approach. The respective |
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39 | ! quantities are: SGS-TKE gradients and horizontally averaged profiles of the |
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40 | ! SGS TKE and the resolved-scale velocity variances. |
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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 particle_attributes |
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48 | USE pegrid |
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49 | USE statistics |
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50 | |
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51 | IMPLICIT NONE |
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52 | |
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53 | INTEGER :: i, j, k |
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54 | |
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55 | |
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56 | ! |
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57 | !-- TKE gradient along x and y |
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58 | DO i = nxl, nxr |
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59 | DO j = nys, nyn |
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60 | DO k = nzb, nzt+1 |
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61 | |
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62 | IF ( k <= nzb_s_inner(j,i-1) .AND. k > nzb_s_inner(j,i) .AND. & |
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63 | k > nzb_s_inner(j,i+1) ) & |
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64 | THEN |
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65 | de_dx(k,j,i) = 2.0 * sgs_wfu_part * ( e(k,j,i+1) - e(k,j,i) ) & |
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66 | * ddx |
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67 | ELSEIF ( k > nzb_s_inner(j,i-1) .AND. k > nzb_s_inner(j,i) & |
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68 | .AND. k <= nzb_s_inner(j,i+1) ) & |
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69 | THEN |
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70 | de_dx(k,j,i) = 2.0 * sgs_wfu_part * ( e(k,j,i) - e(k,j,i-1) ) & |
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71 | * ddx |
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72 | ELSEIF ( k < nzb_s_inner(j,i) .AND. k < nzb_s_inner(j,i+1) ) & |
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73 | THEN |
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74 | de_dx(k,j,i) = 0.0 |
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75 | ELSEIF ( k < nzb_s_inner(j,i-1) .AND. k < nzb_s_inner(j,i) ) & |
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76 | THEN |
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77 | de_dx(k,j,i) = 0.0 |
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78 | ELSE |
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79 | de_dx(k,j,i) = sgs_wfu_part * ( e(k,j,i+1) - e(k,j,i-1) ) * ddx |
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80 | ENDIF |
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81 | |
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82 | IF ( k <= nzb_s_inner(j-1,i) .AND. k > nzb_s_inner(j,i) .AND. & |
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83 | k > nzb_s_inner(j+1,i) ) & |
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84 | THEN |
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85 | de_dy(k,j,i) = 2.0 * sgs_wfv_part * ( e(k,j+1,i) - e(k,j,i) ) & |
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86 | * ddy |
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87 | ELSEIF ( k > nzb_s_inner(j-1,i) .AND. k > nzb_s_inner(j,i) & |
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88 | .AND. k <= nzb_s_inner(j+1,i) ) & |
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89 | THEN |
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90 | de_dy(k,j,i) = 2.0 * sgs_wfv_part * ( e(k,j,i) - e(k,j-1,i) ) & |
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91 | * ddy |
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92 | ELSEIF ( k < nzb_s_inner(j,i) .AND. k < nzb_s_inner(j+1,i) ) & |
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93 | THEN |
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94 | de_dy(k,j,i) = 0.0 |
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95 | ELSEIF ( k < nzb_s_inner(j-1,i) .AND. k < nzb_s_inner(j,i) ) & |
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96 | THEN |
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97 | de_dy(k,j,i) = 0.0 |
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98 | ELSE |
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99 | de_dy(k,j,i) = sgs_wfv_part * ( e(k,j+1,i) - e(k,j-1,i) ) * ddy |
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100 | ENDIF |
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101 | |
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102 | ENDDO |
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103 | ENDDO |
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104 | ENDDO |
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105 | |
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106 | ! |
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107 | !-- TKE gradient along z, including bottom and top boundary conditions |
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108 | DO i = nxl, nxr |
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109 | DO j = nys, nyn |
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110 | |
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111 | DO k = nzb_s_inner(j,i)+2, nzt-1 |
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112 | de_dz(k,j,i) = 2.0 * sgs_wfw_part * & |
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113 | ( e(k+1,j,i) - e(k-1,j,i) ) / ( zu(k+1)-zu(k-1) ) |
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114 | ENDDO |
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115 | |
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116 | k = nzb_s_inner(j,i) |
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117 | de_dz(nzb:k,j,i) = 0.0 |
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118 | de_dz(k+1,j,i) = 2.0 * sgs_wfw_part * ( e(k+2,j,i) - e(k+1,j,i) ) & |
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119 | / ( zu(k+2) - zu(k+1) ) |
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120 | de_dz(nzt,j,i) = 0.0 |
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121 | de_dz(nzt+1,j,i) = 0.0 |
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122 | ENDDO |
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123 | ENDDO |
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124 | |
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125 | |
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126 | ! |
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127 | !-- Lateral boundary conditions |
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128 | CALL exchange_horiz( de_dx, nbgp ) |
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129 | CALL exchange_horiz( de_dy, nbgp ) |
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130 | CALL exchange_horiz( de_dz, nbgp ) |
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131 | CALL exchange_horiz( diss, nbgp ) |
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132 | |
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133 | |
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134 | ! |
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135 | !-- Calculate the horizontally averaged profiles of SGS TKE and resolved |
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136 | !-- velocity variances (they may have been already calculated in routine |
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137 | !-- flow_statistics). |
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138 | IF ( .NOT. flow_statistics_called ) THEN |
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139 | |
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140 | ! |
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141 | !-- First calculate horizontally averaged profiles of the horizontal |
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142 | !-- velocities. |
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143 | sums_l(:,1,0) = 0.0 |
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144 | sums_l(:,2,0) = 0.0 |
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145 | |
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146 | DO i = nxl, nxr |
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147 | DO j = nys, nyn |
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148 | DO k = nzb_s_outer(j,i), nzt+1 |
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149 | sums_l(k,1,0) = sums_l(k,1,0) + u(k,j,i) |
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150 | sums_l(k,2,0) = sums_l(k,2,0) + v(k,j,i) |
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151 | ENDDO |
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152 | ENDDO |
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153 | ENDDO |
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154 | |
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155 | #if defined( __parallel ) |
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156 | ! |
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157 | !-- Compute total sum from local sums |
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158 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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159 | CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, & |
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160 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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161 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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162 | CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, & |
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163 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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164 | #else |
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165 | sums(:,1) = sums_l(:,1,0) |
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166 | sums(:,2) = sums_l(:,2,0) |
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167 | #endif |
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168 | |
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169 | ! |
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170 | !-- Final values are obtained by division by the total number of grid |
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171 | !-- points used for the summation. |
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172 | hom(:,1,1,0) = sums(:,1) / ngp_2dh_outer(:,0) ! u |
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173 | hom(:,1,2,0) = sums(:,2) / ngp_2dh_outer(:,0) ! v |
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174 | |
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175 | ! |
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176 | !-- Now calculate the profiles of SGS TKE and the resolved-scale |
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177 | !-- velocity variances |
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178 | sums_l(:,8,0) = 0.0 |
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179 | sums_l(:,30,0) = 0.0 |
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180 | sums_l(:,31,0) = 0.0 |
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181 | sums_l(:,32,0) = 0.0 |
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182 | DO i = nxl, nxr |
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183 | DO j = nys, nyn |
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184 | DO k = nzb_s_outer(j,i), nzt+1 |
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185 | sums_l(k,8,0) = sums_l(k,8,0) + e(k,j,i) |
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186 | sums_l(k,30,0) = sums_l(k,30,0) + ( u(k,j,i) - hom(k,1,1,0) )**2 |
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187 | sums_l(k,31,0) = sums_l(k,31,0) + ( v(k,j,i) - hom(k,1,2,0) )**2 |
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188 | sums_l(k,32,0) = sums_l(k,32,0) + w(k,j,i)**2 |
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189 | ENDDO |
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190 | ENDDO |
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191 | ENDDO |
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192 | |
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193 | #if defined( __parallel ) |
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194 | ! |
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195 | !-- Compute total sum from local sums |
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196 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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197 | CALL MPI_ALLREDUCE( sums_l(nzb,8,0), sums(nzb,8), nzt+2-nzb, & |
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198 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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199 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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200 | CALL MPI_ALLREDUCE( sums_l(nzb,30,0), sums(nzb,30), nzt+2-nzb, & |
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201 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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202 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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203 | CALL MPI_ALLREDUCE( sums_l(nzb,31,0), sums(nzb,31), nzt+2-nzb, & |
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204 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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205 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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206 | CALL MPI_ALLREDUCE( sums_l(nzb,32,0), sums(nzb,32), nzt+2-nzb, & |
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207 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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208 | |
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209 | #else |
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210 | sums(:,8) = sums_l(:,8,0) |
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211 | sums(:,30) = sums_l(:,30,0) |
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212 | sums(:,31) = sums_l(:,31,0) |
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213 | sums(:,32) = sums_l(:,32,0) |
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214 | #endif |
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215 | |
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216 | ! |
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217 | !-- Final values are obtained by division by the total number of grid |
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218 | !-- points used for the summation. |
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219 | hom(:,1,8,0) = sums(:,8) / ngp_2dh_outer(:,0) ! e |
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220 | hom(:,1,30,0) = sums(:,30) / ngp_2dh_outer(:,0) ! u*2 |
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221 | hom(:,1,31,0) = sums(:,31) / ngp_2dh_outer(:,0) ! v*2 |
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222 | hom(:,1,32,0) = sums(:,32) / ngp_2dh_outer(:,0) ! w*2 |
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223 | |
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224 | ENDIF |
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225 | |
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226 | END SUBROUTINE lpm_init_sgs_tke |
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