1 | MODULE lpm_collision_kernels_mod |
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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_collision_kernels.f90 1093 2013-02-02 12:58:49Z witha $ |
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27 | ! |
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28 | ! 1092 2013-02-02 11:24:22Z raasch |
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29 | ! unused variables removed |
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30 | ! |
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31 | ! 1071 2012-11-29 16:54:55Z franke |
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32 | ! Bugfix: collision efficiencies for Hall kernel should not be < 1.0E-20 |
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33 | ! |
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34 | ! 1036 2012-10-22 13:43:42Z raasch |
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35 | ! code put under GPL (PALM 3.9) |
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36 | ! |
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37 | ! 1007 2012-09-19 14:30:36Z franke |
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38 | ! converted all units to SI units and replaced some parameters by corresponding |
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39 | ! PALM parameters |
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40 | ! Bugfix: factor in calculation of enhancement factor for collision efficencies |
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41 | ! changed from 10. to 1.0 |
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42 | ! |
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43 | ! 849 2012-03-15 10:35:09Z raasch |
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44 | ! routine collision_efficiency_rogers added (moved from former advec_particles |
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45 | ! to here) |
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46 | ! |
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47 | ! 835 2012-02-22 11:21:19Z raasch $ |
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48 | ! Bugfix: array diss can be used only in case of Wang kernel |
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49 | ! |
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50 | ! 828 2012-02-21 12:00:36Z raasch |
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51 | ! code has been completely reformatted, routine colker renamed |
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52 | ! recalculate_kernel, |
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53 | ! routine init_kernels added, radius is now communicated to the collision |
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54 | ! routines by array radclass |
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55 | ! |
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56 | ! Bugfix: transformation factor for dissipation changed from 1E5 to 1E4 |
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57 | ! |
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58 | ! 825 2012-02-19 03:03:44Z raasch |
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59 | ! routine renamed from wang_kernel to lpm_collision_kernels, |
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60 | ! turbulence_effects on collision replaced by wang_kernel |
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61 | ! |
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62 | ! 799 2011-12-21 17:48:03Z franke |
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63 | ! speed optimizations and formatting |
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64 | ! Bugfix: iq=1 is not allowed (routine effic) |
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65 | ! Bugfix: replaced stop by ec=0.0 in case of very small ec (routine effic) |
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66 | ! |
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67 | ! 790 2011-11-29 03:11:20Z raasch |
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68 | ! initial revision |
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69 | ! |
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70 | ! Description: |
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71 | ! ------------ |
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72 | ! This module calculates collision efficiencies either due to pure gravitational |
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73 | ! effects (Hall kernel, see Hall, 1980: J. Atmos. Sci., 2486-2507) or |
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74 | ! including the effects of (SGS) turbulence (Wang kernel, see Wang and |
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75 | ! Grabowski, 2009: Atmos. Sci. Lett., 10, 1-8). The original code has been |
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76 | ! provided by L.-P. Wang but is substantially reformatted and speed optimized |
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77 | ! here. |
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78 | ! |
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79 | ! ATTENTION: |
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80 | ! Physical quantities (like g, densities, etc.) used in this module still |
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81 | ! have to be adjusted to those values used in the main PALM code. |
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82 | ! Also, quantities in CGS-units should be converted to SI-units eventually. |
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83 | !------------------------------------------------------------------------------! |
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84 | |
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85 | USE arrays_3d |
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86 | USE cloud_parameters |
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87 | USE constants |
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88 | USE particle_attributes |
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89 | USE pegrid |
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90 | |
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91 | |
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92 | IMPLICIT NONE |
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93 | |
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94 | PRIVATE |
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95 | |
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96 | PUBLIC ckernel, collision_efficiency_rogers, init_kernels, & |
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97 | rclass_lbound, rclass_ubound, recalculate_kernel |
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98 | |
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99 | REAL :: epsilon, eps2, rclass_lbound, rclass_ubound, urms, urms2 |
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100 | |
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101 | REAL, DIMENSION(:), ALLOCATABLE :: epsclass, radclass, winf |
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102 | REAL, DIMENSION(:,:), ALLOCATABLE :: ec, ecf, gck, hkernel, hwratio |
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103 | REAL, DIMENSION(:,:,:), ALLOCATABLE :: ckernel |
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104 | |
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105 | SAVE |
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106 | |
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107 | ! |
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108 | !-- Public interfaces |
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109 | INTERFACE collision_efficiency_rogers |
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110 | MODULE PROCEDURE collision_efficiency_rogers |
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111 | END INTERFACE collision_efficiency_rogers |
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112 | |
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113 | INTERFACE init_kernels |
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114 | MODULE PROCEDURE init_kernels |
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115 | END INTERFACE init_kernels |
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116 | |
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117 | INTERFACE recalculate_kernel |
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118 | MODULE PROCEDURE recalculate_kernel |
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119 | END INTERFACE recalculate_kernel |
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120 | |
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121 | |
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122 | CONTAINS |
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123 | |
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124 | |
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125 | SUBROUTINE init_kernels |
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126 | !------------------------------------------------------------------------------! |
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127 | ! Initialization of the collision efficiency matrix with fixed radius and |
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128 | ! dissipation classes, calculated at simulation start only. |
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129 | !------------------------------------------------------------------------------! |
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130 | |
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131 | IMPLICIT NONE |
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132 | |
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133 | INTEGER :: i, j, k |
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134 | |
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135 | |
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136 | ! |
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137 | !-- Calculate collision efficiencies for fixed radius- and dissipation |
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138 | !-- classes |
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139 | IF ( collision_kernel(6:9) == 'fast' ) THEN |
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140 | |
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141 | ALLOCATE( ckernel(1:radius_classes,1:radius_classes, & |
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142 | 0:dissipation_classes), epsclass(1:dissipation_classes), & |
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143 | radclass(1:radius_classes) ) |
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144 | |
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145 | ! |
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146 | !-- Calculate the radius class bounds with logarithmic distances |
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147 | !-- in the interval [1.0E-6, 2.0E-4] m |
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148 | rclass_lbound = LOG( 1.0E-6 ) |
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149 | rclass_ubound = LOG( 2.0E-4 ) |
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150 | radclass(1) = 1.0E-6 |
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151 | DO i = 2, radius_classes |
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152 | radclass(i) = EXP( rclass_lbound + & |
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153 | ( rclass_ubound - rclass_lbound ) * ( i-1.0 ) /& |
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154 | ( radius_classes - 1.0 ) ) |
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155 | ! IF ( myid == 0 ) THEN |
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156 | ! PRINT*, 'i=', i, ' r = ', radclass(i)*1.0E6 |
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157 | ! ENDIF |
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158 | ENDDO |
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159 | |
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160 | ! |
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161 | !-- Set the class bounds for dissipation in interval [0.0, 0.1] m**2/s**3 |
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162 | DO i = 1, dissipation_classes |
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163 | epsclass(i) = 0.1 * REAL( i ) / dissipation_classes |
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164 | ! IF ( myid == 0 ) THEN |
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165 | ! PRINT*, 'i=', i, ' eps = ', epsclass(i) |
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166 | ! ENDIF |
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167 | ENDDO |
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168 | ! |
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169 | !-- Calculate collision efficiencies of the Wang/ayala kernel |
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170 | ALLOCATE( ec(1:radius_classes,1:radius_classes), & |
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171 | ecf(1:radius_classes,1:radius_classes), & |
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172 | gck(1:radius_classes,1:radius_classes), & |
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173 | winf(1:radius_classes) ) |
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174 | |
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175 | DO k = 1, dissipation_classes |
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176 | |
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177 | epsilon = epsclass(k) |
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178 | urms = 2.02 * ( epsilon / 0.04 )**( 1.0 / 3.0 ) |
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179 | |
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180 | CALL turbsd |
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181 | CALL turb_enhance_eff |
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182 | CALL effic |
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183 | |
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184 | DO j = 1, radius_classes |
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185 | DO i = 1, radius_classes |
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186 | ckernel(i,j,k) = ec(i,j) * gck(i,j) * ecf(i,j) |
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187 | ENDDO |
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188 | ENDDO |
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189 | |
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190 | ENDDO |
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191 | |
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192 | ! |
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193 | !-- Calculate collision efficiencies of the Hall kernel |
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194 | ALLOCATE( hkernel(1:radius_classes,1:radius_classes), & |
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195 | hwratio(1:radius_classes,1:radius_classes) ) |
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196 | |
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197 | CALL fallg |
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198 | CALL effic |
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199 | |
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200 | DO j = 1, radius_classes |
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201 | DO i = 1, radius_classes |
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202 | hkernel(i,j) = pi * ( radclass(j) + radclass(i) )**2 & |
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203 | * ec(i,j) * ABS( winf(j) - winf(i) ) |
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204 | ckernel(i,j,0) = hkernel(i,j) ! hall kernel stored on index 0 |
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205 | ENDDO |
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206 | ENDDO |
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207 | |
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208 | ! |
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209 | !-- Test output of efficiencies |
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210 | IF ( j == -1 ) THEN |
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211 | |
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212 | PRINT*, '*** Hall kernel' |
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213 | WRITE ( *,'(5X,20(F4.0,1X))' ) ( radclass(i)*1.0E6, & |
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214 | i = 1,radius_classes ) |
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215 | DO j = 1, radius_classes |
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216 | WRITE ( *,'(F4.0,1X,20(F8.4,1X))' ) radclass(j), & |
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217 | ( hkernel(i,j), i = 1,radius_classes ) |
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218 | ENDDO |
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219 | |
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220 | DO k = 1, dissipation_classes |
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221 | DO i = 1, radius_classes |
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222 | DO j = 1, radius_classes |
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223 | IF ( hkernel(i,j) == 0.0 ) THEN |
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224 | hwratio(i,j) = 9999999.9 |
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225 | ELSE |
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226 | hwratio(i,j) = ckernel(i,j,k) / hkernel(i,j) |
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227 | ENDIF |
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228 | ENDDO |
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229 | ENDDO |
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230 | |
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231 | PRINT*, '*** epsilon = ', epsclass(k) |
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232 | WRITE ( *,'(5X,20(F4.0,1X))' ) ( radclass(i)*1.0E6, & |
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233 | i = 1,radius_classes ) |
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234 | DO j = 1, radius_classes |
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235 | ! WRITE ( *,'(F4.0,1X,20(F4.2,1X))' ) radclass(j)*1.0E6, & |
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236 | ! ( ckernel(i,j,k), i = 1,radius_classes ) |
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237 | WRITE ( *,'(F4.0,1X,20(F8.4,1X))' ) radclass(j)*1.0E6, & |
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238 | ( hwratio(i,j), i = 1,radius_classes ) |
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239 | ENDDO |
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240 | ENDDO |
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241 | |
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242 | ENDIF |
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243 | |
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244 | DEALLOCATE( ec, ecf, epsclass, gck, hkernel, winf ) |
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245 | |
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246 | ELSEIF( collision_kernel == 'hall' .OR. collision_kernel == 'wang' ) & |
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247 | THEN |
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248 | ! |
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249 | !-- Initial settings for Hall- and Wang-Kernel |
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250 | !-- To be done: move here parts from turbsd, fallg, ecoll, etc. |
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251 | ENDIF |
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252 | |
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253 | END SUBROUTINE init_kernels |
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254 | |
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255 | |
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256 | !------------------------------------------------------------------------------! |
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257 | ! Calculation of collision kernels during each timestep and for each grid box |
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258 | !------------------------------------------------------------------------------! |
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259 | SUBROUTINE recalculate_kernel( i1, j1, k1 ) |
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260 | |
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261 | USE arrays_3d |
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262 | USE cloud_parameters |
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263 | USE constants |
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264 | USE cpulog |
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265 | USE indices |
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266 | USE interfaces |
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267 | USE particle_attributes |
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268 | |
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269 | IMPLICIT NONE |
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270 | |
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271 | INTEGER :: i, i1, j, j1, k1, pend, pstart |
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272 | |
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273 | |
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274 | pstart = prt_start_index(k1,j1,i1) |
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275 | pend = prt_start_index(k1,j1,i1) + prt_count(k1,j1,i1) - 1 |
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276 | radius_classes = prt_count(k1,j1,i1) |
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277 | |
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278 | ALLOCATE( ec(1:radius_classes,1:radius_classes), & |
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279 | radclass(1:radius_classes), winf(1:radius_classes) ) |
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280 | |
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281 | ! |
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282 | !-- Store particle radii on the radclass array |
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283 | radclass(1:radius_classes) = particles(pstart:pend)%radius |
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284 | |
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285 | IF ( wang_kernel ) THEN |
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286 | epsilon = diss(k1,j1,i1) ! dissipation rate in m**2/s**3 |
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287 | ELSE |
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288 | epsilon = 0.0 |
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289 | ENDIF |
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290 | urms = 2.02 * ( epsilon / 0.04 )**( 0.33333333333 ) |
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291 | |
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292 | IF ( wang_kernel .AND. epsilon > 1.0E-7 ) THEN |
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293 | ! |
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294 | !-- Call routines to calculate efficiencies for the Wang kernel |
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295 | ALLOCATE( gck(1:radius_classes,1:radius_classes), & |
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296 | ecf(1:radius_classes,1:radius_classes) ) |
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297 | |
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298 | CALL turbsd |
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299 | CALL turb_enhance_eff |
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300 | CALL effic |
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301 | |
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302 | DO j = 1, radius_classes |
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303 | DO i = 1, radius_classes |
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304 | ckernel(pstart+i-1,pstart+j-1,1) = ec(i,j) * gck(i,j) * ecf(i,j) |
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305 | ENDDO |
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306 | ENDDO |
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307 | |
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308 | DEALLOCATE( gck, ecf ) |
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309 | |
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310 | ELSE |
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311 | ! |
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312 | !-- Call routines to calculate efficiencies for the Hall kernel |
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313 | CALL fallg |
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314 | CALL effic |
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315 | |
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316 | DO j = 1, radius_classes |
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317 | DO i = 1, radius_classes |
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318 | ckernel(pstart+i-1,pstart+j-1,1) = pi * & |
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319 | ( radclass(j) + radclass(i) )**2 & |
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320 | * ec(i,j) * ABS( winf(j) - winf(i) ) |
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321 | ENDDO |
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322 | ENDDO |
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323 | |
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324 | ENDIF |
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325 | |
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326 | DEALLOCATE( ec, radclass, winf ) |
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327 | |
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328 | END SUBROUTINE recalculate_kernel |
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329 | |
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330 | |
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331 | !------------------------------------------------------------------------------! |
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332 | ! Calculation of gck |
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333 | ! This is from Aayala 2008b, page 37ff. |
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334 | ! Necessary input parameters: water density, radii of droplets, air density, |
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335 | ! air viscosity, turbulent dissipation rate, taylor microscale reynolds number, |
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336 | ! gravitational acceleration --> to be replaced by PALM parameters |
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337 | !------------------------------------------------------------------------------! |
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338 | SUBROUTINE turbsd |
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339 | |
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340 | USE constants |
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341 | USE cloud_parameters |
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342 | USE particle_attributes |
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343 | USE arrays_3d |
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344 | USE control_parameters |
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345 | |
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346 | IMPLICIT NONE |
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347 | |
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348 | INTEGER :: i, j |
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349 | |
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350 | LOGICAL, SAVE :: first = .TRUE. |
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351 | |
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352 | REAL :: ao, ao_gr, bbb, be, b1, b2, ccc, c1, c1_gr, c2, d1, d2, eta, & |
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353 | e1, e2, fao_gr, fr, grfin, lambda, lambda_re, lf, rc, rrp, & |
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354 | sst, tauk, tl, t2, tt, t1, vk, vrms1xy, vrms2xy, v1, v1v2xy, & |
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355 | v1xysq, v2, v2xysq, wrfin, wrgrav2, wrtur2xy, xx, yy, z |
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356 | |
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357 | REAL, DIMENSION(1:radius_classes) :: st, tau |
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358 | |
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359 | |
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360 | ! |
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361 | !-- Initial assignment of constants |
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362 | IF ( first ) THEN |
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363 | |
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364 | first = .FALSE. |
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365 | |
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366 | ENDIF |
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367 | |
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368 | lambda = urms * SQRT( 15.0 * molecular_viscosity / epsilon ) ! in m |
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369 | lambda_re = urms**2 * SQRT( 15.0 / epsilon / molecular_viscosity ) |
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370 | tl = urms**2 / epsilon ! in s |
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371 | lf = 0.5 * urms**3 / epsilon ! in m |
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372 | tauk = SQRT( molecular_viscosity / epsilon ) ! in s |
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373 | eta = ( molecular_viscosity**3 / epsilon )**0.25 ! in m |
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374 | vk = eta / tauk |
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375 | |
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376 | ao = ( 11.0 + 7.0 * lambda_re ) / ( 205.0 + lambda_re ) |
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377 | tt = SQRT( 2.0 * lambda_re / ( SQRT( 15.0 ) * ao ) ) * tauk ! in s |
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378 | |
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379 | CALL fallg ! gives winf in m/s |
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380 | |
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381 | DO i = 1, radius_classes |
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382 | tau(i) = winf(i) / g ! in s |
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383 | st(i) = tau(i) / tauk |
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384 | ENDDO |
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385 | |
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386 | ! |
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387 | !-- Calculate wr (from Aayala 2008b, page 38f) |
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388 | z = tt / tl |
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389 | be = SQRT( 2.0 ) * lambda / lf |
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390 | bbb = SQRT( 1.0 - 2.0 * be**2 ) |
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391 | d1 = ( 1.0 + bbb ) / ( 2.0 * bbb ) |
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392 | e1 = lf * ( 1.0 + bbb ) * 0.5 ! in m |
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393 | d2 = ( 1.0 - bbb ) * 0.5 / bbb |
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394 | e2 = lf * ( 1.0 - bbb ) * 0.5 ! in m |
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395 | ccc = SQRT( 1.0 - 2.0 * z**2 ) |
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396 | b1 = ( 1.0 + ccc ) * 0.5 / ccc |
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397 | c1 = tl * ( 1.0 + ccc ) * 0.5 ! in s |
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398 | b2 = ( 1.0 - ccc ) * 0.5 / ccc |
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399 | c2 = tl * ( 1.0 - ccc ) * 0.5 ! in s |
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400 | |
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401 | DO i = 1, radius_classes |
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402 | |
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403 | v1 = winf(i) ! in m/s |
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404 | t1 = tau(i) ! in s |
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405 | |
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406 | DO j = 1, i |
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407 | rrp = radclass(i) + radclass(j) |
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408 | v2 = winf(j) ! in m/s |
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409 | t2 = tau(j) ! in s |
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410 | |
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411 | v1xysq = b1 * d1 * phi_w(c1,e1,v1,t1) - b1 * d2 * phi_w(c1,e2,v1,t1) & |
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412 | - b2 * d1 * phi_w(c2,e1,v1,t1) + b2 * d2 * phi_w(c2,e2,v1,t1) |
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413 | v1xysq = v1xysq * urms**2 / t1 ! in m**2/s**2 |
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414 | vrms1xy = SQRT( v1xysq ) ! in m/s |
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415 | |
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416 | v2xysq = b1 * d1 * phi_w(c1,e1,v2,t2) - b1 * d2 * phi_w(c1,e2,v2,t2) & |
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417 | - b2 * d1 * phi_w(c2,e1,v2,t2) + b2 * d2 * phi_w(c2,e2,v2,t2) |
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418 | v2xysq = v2xysq * urms**2 / t2 ! in m**2/s**2 |
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419 | vrms2xy = SQRT( v2xysq ) ! in m/s |
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420 | |
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421 | IF ( winf(i) >= winf(j) ) THEN |
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422 | v1 = winf(i) |
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423 | t1 = tau(i) |
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424 | v2 = winf(j) |
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425 | t2 = tau(j) |
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426 | ELSE |
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427 | v1 = winf(j) |
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428 | t1 = tau(j) |
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429 | v2 = winf(i) |
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430 | t2 = tau(i) |
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431 | ENDIF |
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432 | |
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433 | v1v2xy = b1 * d1 * zhi(c1,e1,v1,t1,v2,t2) - & |
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434 | b1 * d2 * zhi(c1,e2,v1,t1,v2,t2) - & |
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435 | b2 * d1 * zhi(c2,e1,v1,t1,v2,t2) + & |
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436 | b2 * d2* zhi(c2,e2,v1,t1,v2,t2) |
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437 | fr = d1 * EXP( -rrp / e1 ) - d2 * EXP( -rrp / e2 ) |
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438 | v1v2xy = v1v2xy * fr * urms**2 / tau(i) / tau(j) ! in m**2/s**2 |
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439 | wrtur2xy = vrms1xy**2 + vrms2xy**2 - 2.0 * v1v2xy ! in m**2/s**2 |
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440 | IF ( wrtur2xy < 0.0 ) wrtur2xy = 0.0 |
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441 | wrgrav2 = pi / 8.0 * ( winf(j) - winf(i) )**2 |
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442 | wrfin = SQRT( ( 2.0 / pi ) * ( wrtur2xy + wrgrav2) ) ! in m/s |
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443 | |
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444 | ! |
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445 | !-- Calculate gr |
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446 | IF ( st(j) > st(i) ) THEN |
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447 | sst = st(j) |
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448 | ELSE |
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449 | sst = st(i) |
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450 | ENDIF |
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451 | |
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452 | xx = -0.1988 * sst**4 + 1.5275 * sst**3 - 4.2942 * sst**2 + & |
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453 | 5.3406 * sst |
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454 | IF ( xx < 0.0 ) xx = 0.0 |
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455 | yy = 0.1886 * EXP( 20.306 / lambda_re ) |
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456 | |
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457 | c1_gr = xx / ( g / vk * tauk )**yy |
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458 | |
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459 | ao_gr = ao + ( pi / 8.0) * ( g / vk * tauk )**2 |
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460 | fao_gr = 20.115 * SQRT( ao_gr / lambda_re ) |
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461 | rc = SQRT( fao_gr * ABS( st(j) - st(i) ) ) * eta ! in cm |
---|
462 | |
---|
463 | grfin = ( ( eta**2 + rc**2 ) / ( rrp**2 + rc**2) )**( c1_gr*0.5 ) |
---|
464 | IF ( grfin < 1.0 ) grfin = 1.0 |
---|
465 | |
---|
466 | gck(i,j) = 2.0 * pi * rrp**2 * wrfin * grfin ! in cm**3/s |
---|
467 | gck(j,i) = gck(i,j) |
---|
468 | |
---|
469 | ENDDO |
---|
470 | ENDDO |
---|
471 | |
---|
472 | END SUBROUTINE turbsd |
---|
473 | |
---|
474 | |
---|
475 | !------------------------------------------------------------------------------! |
---|
476 | ! phi_w as a function |
---|
477 | !------------------------------------------------------------------------------! |
---|
478 | REAL FUNCTION phi_w( a, b, vsett, tau0 ) |
---|
479 | |
---|
480 | IMPLICIT NONE |
---|
481 | |
---|
482 | REAL :: a, aa1, b, tau0, vsett |
---|
483 | |
---|
484 | aa1 = 1.0 / tau0 + 1.0 / a + vsett / b |
---|
485 | phi_w = 1.0 / aa1 - 0.5 * vsett / b / aa1**2 ! in s |
---|
486 | |
---|
487 | END FUNCTION phi_w |
---|
488 | |
---|
489 | |
---|
490 | !------------------------------------------------------------------------------! |
---|
491 | ! zhi as a function |
---|
492 | !------------------------------------------------------------------------------! |
---|
493 | REAL FUNCTION zhi( a, b, vsett1, tau1, vsett2, tau2 ) |
---|
494 | |
---|
495 | IMPLICIT NONE |
---|
496 | |
---|
497 | REAL :: a, aa1, aa2, aa3, aa4, aa5, aa6, b, tau1, tau2, vsett1, vsett2 |
---|
498 | |
---|
499 | aa1 = vsett2 / b - 1.0 / tau2 - 1.0 / a |
---|
500 | aa2 = vsett1 / b + 1.0 / tau1 + 1.0 / a |
---|
501 | aa3 = ( vsett1 - vsett2 ) / b + 1.0 / tau1 + 1.0 / tau2 |
---|
502 | aa4 = ( vsett2 / b )**2 - ( 1.0 / tau2 + 1.0 / a )**2 |
---|
503 | aa5 = vsett2 / b + 1.0 / tau2 + 1.0 / a |
---|
504 | aa6 = 1.0 / tau1 - 1.0 / a + ( 1.0 / tau2 + 1.0 / a) * vsett1 / vsett2 |
---|
505 | zhi = (1.0 / aa1 - 1.0 / aa2 ) * ( vsett1 - vsett2 ) * 0.5 / b / aa3**2 & |
---|
506 | + (4.0 / aa4 - 1.0 / aa5**2 - 1.0 / aa1**2 ) * vsett2 * 0.5 / b /aa6& |
---|
507 | + (2.0 * ( b / aa2 - b / aa1 ) - vsett1 / aa2**2 + vsett2 / aa1**2 )& |
---|
508 | * 0.5 / b / aa3 ! in s**2 |
---|
509 | |
---|
510 | END FUNCTION zhi |
---|
511 | |
---|
512 | |
---|
513 | !------------------------------------------------------------------------------! |
---|
514 | ! Calculation of terminal velocity winf following Equations 10-138 to 10-145 |
---|
515 | ! from (Pruppacher and Klett, 1997) |
---|
516 | !------------------------------------------------------------------------------! |
---|
517 | SUBROUTINE fallg |
---|
518 | |
---|
519 | USE constants |
---|
520 | USE cloud_parameters |
---|
521 | USE particle_attributes |
---|
522 | USE arrays_3d |
---|
523 | USE control_parameters |
---|
524 | |
---|
525 | IMPLICIT NONE |
---|
526 | |
---|
527 | INTEGER :: i, j |
---|
528 | |
---|
529 | LOGICAL, SAVE :: first = .TRUE. |
---|
530 | |
---|
531 | REAL, SAVE :: cunh, eta, phy, py, rho_a, sigma, stb, stok, xlamb |
---|
532 | |
---|
533 | REAL :: bond, x, xrey, y |
---|
534 | |
---|
535 | REAL, DIMENSION(1:7), SAVE :: b |
---|
536 | REAL, DIMENSION(1:6), SAVE :: c |
---|
537 | |
---|
538 | ! |
---|
539 | !-- Initial assignment of constants |
---|
540 | IF ( first ) THEN |
---|
541 | |
---|
542 | first = .FALSE. |
---|
543 | b = (/ -0.318657E1, 0.992696E0, -0.153193E-2, -0.987059E-3, & |
---|
544 | -0.578878E-3, 0.855176E-4, -0.327815E-5 /) |
---|
545 | c = (/ -0.500015E1, 0.523778E1, -0.204914E1, 0.475294E0, & |
---|
546 | -0.542819E-1, 0.238449E-2 /) |
---|
547 | |
---|
548 | ! |
---|
549 | !-- Parameter values for p = 1013,25 hPa and T = 293,15 K |
---|
550 | eta = 1.818E-5 ! in kg/(m s) |
---|
551 | xlamb = 6.6E-8 ! in m |
---|
552 | rho_a = 1.204 ! in kg/m**3 |
---|
553 | cunh = 1.26 * xlamb ! in m |
---|
554 | sigma = 0.07363 ! in kg/s**2 |
---|
555 | stok = 2.0 * g * ( rho_l - rho_a ) / ( 9.0 * eta ) ! in 1/(m s) |
---|
556 | stb = 32.0 * rho_a * ( rho_l - rho_a) * g / (3.0 * eta * eta) |
---|
557 | phy = sigma**3 * rho_a**2 / ( eta**4 * g * ( rho_l - rho_a ) ) |
---|
558 | py = phy**( 1.0 / 6.0 ) |
---|
559 | |
---|
560 | ENDIF |
---|
561 | |
---|
562 | DO j = 1, radius_classes |
---|
563 | |
---|
564 | IF ( radclass(j) <= 1.0E-5 ) THEN |
---|
565 | |
---|
566 | winf(j) = stok * ( radclass(j)**2 + cunh * radclass(j) ) |
---|
567 | |
---|
568 | ELSEIF ( radclass(j) > 1.0E-5 .AND. radclass(j) <= 5.35E-4 ) THEN |
---|
569 | |
---|
570 | x = LOG( stb * radclass(j)**3 ) |
---|
571 | y = 0.0 |
---|
572 | |
---|
573 | DO i = 1, 7 |
---|
574 | y = y + b(i) * x**(i-1) |
---|
575 | ENDDO |
---|
576 | ! |
---|
577 | !-- Note: this Eq. is wrong in (Pruppacher and Klett, 1997, p. 418) |
---|
578 | !-- for correct version see (Beard, 1976) |
---|
579 | xrey = ( 1.0 + cunh / radclass(j) ) * EXP( y ) |
---|
580 | |
---|
581 | winf(j) = xrey * eta / ( 2.0 * rho_a * radclass(j) ) |
---|
582 | |
---|
583 | ELSEIF ( radclass(j) > 5.35E-4 ) THEN |
---|
584 | |
---|
585 | IF ( radclass(j) > 0.0035 ) THEN |
---|
586 | bond = g * ( rho_l - rho_a ) * 0.0035**2 / sigma |
---|
587 | ELSE |
---|
588 | bond = g * ( rho_l - rho_a ) * radclass(j)**2 / sigma |
---|
589 | ENDIF |
---|
590 | |
---|
591 | x = LOG( 16.0 * bond * py / 3.0 ) |
---|
592 | y = 0.0 |
---|
593 | |
---|
594 | DO i = 1, 6 |
---|
595 | y = y + c(i) * x**(i-1) |
---|
596 | ENDDO |
---|
597 | |
---|
598 | xrey = py * EXP( y ) |
---|
599 | |
---|
600 | IF ( radclass(j) > 0.0035 ) THEN |
---|
601 | winf(j) = xrey * eta / ( 2.0 * rho_a * 0.0035 ) |
---|
602 | ELSE |
---|
603 | winf(j) = xrey * eta / ( 2.0 * rho_a * radclass(j) ) |
---|
604 | ENDIF |
---|
605 | |
---|
606 | ENDIF |
---|
607 | |
---|
608 | ENDDO |
---|
609 | |
---|
610 | END SUBROUTINE fallg |
---|
611 | |
---|
612 | |
---|
613 | !------------------------------------------------------------------------------! |
---|
614 | ! Calculation of collision efficiencies for the Hall kernel |
---|
615 | !------------------------------------------------------------------------------! |
---|
616 | SUBROUTINE effic |
---|
617 | |
---|
618 | USE arrays_3d |
---|
619 | USE cloud_parameters |
---|
620 | USE constants |
---|
621 | USE particle_attributes |
---|
622 | |
---|
623 | IMPLICIT NONE |
---|
624 | |
---|
625 | INTEGER :: i, iq, ir, j, k |
---|
626 | |
---|
627 | INTEGER, DIMENSION(:), ALLOCATABLE :: ira |
---|
628 | |
---|
629 | LOGICAL, SAVE :: first = .TRUE. |
---|
630 | |
---|
631 | REAL :: ek, particle_radius, pp, qq, rq |
---|
632 | |
---|
633 | REAL, DIMENSION(1:21), SAVE :: rat |
---|
634 | REAL, DIMENSION(1:15), SAVE :: r0 |
---|
635 | REAL, DIMENSION(1:15,1:21), SAVE :: ecoll |
---|
636 | |
---|
637 | ! |
---|
638 | !-- Initial assignment of constants |
---|
639 | IF ( first ) THEN |
---|
640 | |
---|
641 | first = .FALSE. |
---|
642 | r0 = (/ 6.0, 8.0, 10.0, 15.0, 20.0, 25.0, 30.0, 40.0, 50.0, 60., & |
---|
643 | 70.0, 100.0, 150.0, 200.0, 300.0 /) |
---|
644 | rat = (/ 0.00, 0.05, 0.10, 0.15, 0.20, 0.25, 0.30, 0.35, 0.40, 0.45, & |
---|
645 | 0.50, 0.55, 0.60, 0.65, 0.70, 0.75, 0.80, 0.85, 0.90, 0.95, & |
---|
646 | 1.00 /) |
---|
647 | |
---|
648 | ecoll(:,1) = (/0.001, 0.001, 0.001, 0.001, 0.001, 0.001, 0.001, & |
---|
649 | 0.001, 0.001, 0.001, 0.001, 0.001, 0.001, 0.001, 0.001/) |
---|
650 | ecoll(:,2) = (/0.003, 0.003, 0.003, 0.004, 0.005, 0.005, 0.005, & |
---|
651 | 0.010, 0.100, 0.050, 0.200, 0.500, 0.770, 0.870, 0.970/) |
---|
652 | ecoll(:,3) = (/0.007, 0.007, 0.007, 0.008, 0.009, 0.010, 0.010, & |
---|
653 | 0.070, 0.400, 0.430, 0.580, 0.790, 0.930, 0.960, 1.000/) |
---|
654 | ecoll(:,4) = (/0.009, 0.009, 0.009, 0.012, 0.015, 0.010, 0.020, & |
---|
655 | 0.280, 0.600, 0.640, 0.750, 0.910, 0.970, 0.980, 1.000/) |
---|
656 | ecoll(:,5) = (/0.014, 0.014, 0.014, 0.015, 0.016, 0.030, 0.060, & |
---|
657 | 0.500, 0.700, 0.770, 0.840, 0.950, 0.970, 1.000, 1.000/) |
---|
658 | ecoll(:,6) = (/0.017, 0.017, 0.017, 0.020, 0.022, 0.060, 0.100, & |
---|
659 | 0.620, 0.780, 0.840, 0.880, 0.950, 1.000, 1.000, 1.000/) |
---|
660 | ecoll(:,7) = (/0.030, 0.030, 0.024, 0.022, 0.032, 0.062, 0.200, & |
---|
661 | 0.680, 0.830, 0.870, 0.900, 0.950, 1.000, 1.000, 1.000/) |
---|
662 | ecoll(:,8) = (/0.025, 0.025, 0.025, 0.036, 0.043, 0.130, 0.270, & |
---|
663 | 0.740, 0.860, 0.890, 0.920, 1.000, 1.000, 1.000, 1.000/) |
---|
664 | ecoll(:,9) = (/0.027, 0.027, 0.027, 0.040, 0.052, 0.200, 0.400, & |
---|
665 | 0.780, 0.880, 0.900, 0.940, 1.000, 1.000, 1.000, 1.000/) |
---|
666 | ecoll(:,10)= (/0.030, 0.030, 0.030, 0.047, 0.064, 0.250, 0.500, & |
---|
667 | 0.800, 0.900, 0.910, 0.950, 1.000, 1.000, 1.000, 1.000/) |
---|
668 | ecoll(:,11)= (/0.040, 0.040, 0.033, 0.037, 0.068, 0.240, 0.550, & |
---|
669 | 0.800, 0.900, 0.910, 0.950, 1.000, 1.000, 1.000, 1.000/) |
---|
670 | ecoll(:,12)= (/0.035, 0.035, 0.035, 0.055, 0.079, 0.290, 0.580, & |
---|
671 | 0.800, 0.900, 0.910, 0.950, 1.000, 1.000, 1.000, 1.000/) |
---|
672 | ecoll(:,13)= (/0.037, 0.037, 0.037, 0.062, 0.082, 0.290, 0.590, & |
---|
673 | 0.780, 0.900, 0.910, 0.950, 1.000, 1.000, 1.000, 1.000/) |
---|
674 | ecoll(:,14)= (/0.037, 0.037, 0.037, 0.060, 0.080, 0.290, 0.580, & |
---|
675 | 0.770, 0.890, 0.910, 0.950, 1.000, 1.000, 1.000, 1.000/) |
---|
676 | ecoll(:,15)= (/0.037, 0.037, 0.037, 0.041, 0.075, 0.250, 0.540, & |
---|
677 | 0.760, 0.880, 0.920, 0.950, 1.000, 1.000, 1.000, 1.000/) |
---|
678 | ecoll(:,16)= (/0.037, 0.037, 0.037, 0.052, 0.067, 0.250, 0.510, & |
---|
679 | 0.770, 0.880, 0.930, 0.970, 1.000, 1.000, 1.000, 1.000/) |
---|
680 | ecoll(:,17)= (/0.037, 0.037, 0.037, 0.047, 0.057, 0.250, 0.490, & |
---|
681 | 0.770, 0.890, 0.950, 1.000, 1.000, 1.000, 1.000, 1.000/) |
---|
682 | ecoll(:,18)= (/0.036, 0.036, 0.036, 0.042, 0.048, 0.230, 0.470, & |
---|
683 | 0.780, 0.920, 1.000, 1.020, 1.020, 1.020, 1.020, 1.020/) |
---|
684 | ecoll(:,19)= (/0.040, 0.040, 0.035, 0.033, 0.040, 0.112, 0.450, & |
---|
685 | 0.790, 1.010, 1.030, 1.040, 1.040, 1.040, 1.040, 1.040/) |
---|
686 | ecoll(:,20)= (/0.033, 0.033, 0.033, 0.033, 0.033, 0.119, 0.470, & |
---|
687 | 0.950, 1.300, 1.700, 2.300, 2.300, 2.300, 2.300, 2.300/) |
---|
688 | ecoll(:,21)= (/0.027, 0.027, 0.027, 0.027, 0.027, 0.125, 0.520, & |
---|
689 | 1.400, 2.300, 3.000, 4.000, 4.000, 4.000, 4.000, 4.000/) |
---|
690 | ENDIF |
---|
691 | |
---|
692 | ! |
---|
693 | !-- Calculate the radius class index of particles with respect to array r |
---|
694 | !-- Radius has to be in µm |
---|
695 | ALLOCATE( ira(1:radius_classes) ) |
---|
696 | DO j = 1, radius_classes |
---|
697 | particle_radius = radclass(j) * 1.0E6 |
---|
698 | DO k = 1, 15 |
---|
699 | IF ( particle_radius < r0(k) ) THEN |
---|
700 | ira(j) = k |
---|
701 | EXIT |
---|
702 | ENDIF |
---|
703 | ENDDO |
---|
704 | IF ( particle_radius >= r0(15) ) ira(j) = 16 |
---|
705 | ENDDO |
---|
706 | |
---|
707 | ! |
---|
708 | !-- Two-dimensional linear interpolation of the collision efficiency. |
---|
709 | !-- Radius has to be in µm |
---|
710 | DO j = 1, radius_classes |
---|
711 | DO i = 1, j |
---|
712 | |
---|
713 | ir = ira(j) |
---|
714 | rq = radclass(i) / radclass(j) |
---|
715 | iq = INT( rq * 20 ) + 1 |
---|
716 | iq = MAX( iq , 2) |
---|
717 | |
---|
718 | IF ( ir < 16 ) THEN |
---|
719 | IF ( ir >= 2 ) THEN |
---|
720 | pp = ( ( radclass(j) * 1.0E06 ) - r0(ir-1) ) / & |
---|
721 | ( r0(ir) - r0(ir-1) ) |
---|
722 | qq = ( rq- rat(iq-1) ) / ( rat(iq) - rat(iq-1) ) |
---|
723 | ec(j,i) = ( 1.0-pp ) * ( 1.0-qq ) * ecoll(ir-1,iq-1) & |
---|
724 | + pp * ( 1.0-qq ) * ecoll(ir,iq-1) & |
---|
725 | + qq * ( 1.0-pp ) * ecoll(ir-1,iq) & |
---|
726 | + pp * qq * ecoll(ir,iq) |
---|
727 | ELSE |
---|
728 | qq = ( rq - rat(iq-1) ) / ( rat(iq) - rat(iq-1) ) |
---|
729 | ec(j,i) = (1.0-qq) * ecoll(1,iq-1) + qq * ecoll(1,iq) |
---|
730 | ENDIF |
---|
731 | ELSE |
---|
732 | qq = ( rq - rat(iq-1) ) / ( rat(iq) - rat(iq-1) ) |
---|
733 | ek = ( 1.0 - qq ) * ecoll(15,iq-1) + qq * ecoll(15,iq) |
---|
734 | ec(j,i) = MIN( ek, 1.0 ) |
---|
735 | ENDIF |
---|
736 | |
---|
737 | IF ( ec(j,i) < 1.0E-20 ) ec(j,i) = 0.0 |
---|
738 | |
---|
739 | ec(i,j) = ec(j,i) |
---|
740 | |
---|
741 | ENDDO |
---|
742 | ENDDO |
---|
743 | |
---|
744 | DEALLOCATE( ira ) |
---|
745 | |
---|
746 | END SUBROUTINE effic |
---|
747 | |
---|
748 | |
---|
749 | !------------------------------------------------------------------------------! |
---|
750 | ! Calculation of enhancement factor for collision efficencies due to turbulence |
---|
751 | !------------------------------------------------------------------------------! |
---|
752 | SUBROUTINE turb_enhance_eff |
---|
753 | |
---|
754 | USE constants |
---|
755 | USE cloud_parameters |
---|
756 | USE particle_attributes |
---|
757 | USE arrays_3d |
---|
758 | |
---|
759 | IMPLICIT NONE |
---|
760 | |
---|
761 | INTEGER :: i, iq, ir, j, k, kk |
---|
762 | |
---|
763 | INTEGER, DIMENSION(:), ALLOCATABLE :: ira |
---|
764 | |
---|
765 | REAL :: particle_radius, pp, qq, rq, y1, y2, y3 |
---|
766 | |
---|
767 | LOGICAL, SAVE :: first = .TRUE. |
---|
768 | |
---|
769 | REAL, DIMENSION(1:11), SAVE :: rat |
---|
770 | REAL, DIMENSION(1:7), SAVE :: r0 |
---|
771 | REAL, DIMENSION(1:7,1:11), SAVE :: ecoll_100, ecoll_400 |
---|
772 | |
---|
773 | ! |
---|
774 | !-- Initial assignment of constants |
---|
775 | IF ( first ) THEN |
---|
776 | |
---|
777 | first = .FALSE. |
---|
778 | |
---|
779 | r0 = (/ 10.0, 20.0, 30.0, 40.0, 50.0, 60.0, 100.0 /) |
---|
780 | rat = (/ 0.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0 /) |
---|
781 | ! |
---|
782 | !-- for 100 cm**2/s**3 |
---|
783 | ecoll_100(:,1) = (/1.74, 1.74, 1.773, 1.49, 1.207, 1.207, 1.0 /) |
---|
784 | ecoll_100(:,2) = (/1.46, 1.46, 1.421, 1.245, 1.069, 1.069, 1.0 /) |
---|
785 | ecoll_100(:,3) = (/1.32, 1.32, 1.245, 1.123, 1.000, 1.000, 1.0 /) |
---|
786 | ecoll_100(:,4) = (/1.250, 1.250, 1.148, 1.087, 1.025, 1.025, 1.0 /) |
---|
787 | ecoll_100(:,5) = (/1.186, 1.186, 1.066, 1.060, 1.056, 1.056, 1.0 /) |
---|
788 | ecoll_100(:,6) = (/1.045, 1.045, 1.000, 1.014, 1.028, 1.028, 1.0 /) |
---|
789 | ecoll_100(:,7) = (/1.070, 1.070, 1.030, 1.038, 1.046, 1.046, 1.0 /) |
---|
790 | ecoll_100(:,8) = (/1.000, 1.000, 1.054, 1.042, 1.029, 1.029, 1.0 /) |
---|
791 | ecoll_100(:,9) = (/1.223, 1.223, 1.117, 1.069, 1.021, 1.021, 1.0 /) |
---|
792 | ecoll_100(:,10)= (/1.570, 1.570, 1.244, 1.166, 1.088, 1.088, 1.0 /) |
---|
793 | ecoll_100(:,11)= (/20.3, 20.3, 14.6 , 8.61, 2.60, 2.60 , 1.0 /) |
---|
794 | ! |
---|
795 | !-- for 400 cm**2/s**3 |
---|
796 | ecoll_400(:,1) = (/4.976, 4.976, 3.593, 2.519, 1.445, 1.445, 1.0 /) |
---|
797 | ecoll_400(:,2) = (/2.984, 2.984, 2.181, 1.691, 1.201, 1.201, 1.0 /) |
---|
798 | ecoll_400(:,3) = (/1.988, 1.988, 1.475, 1.313, 1.150, 1.150, 1.0 /) |
---|
799 | ecoll_400(:,4) = (/1.490, 1.490, 1.187, 1.156, 1.126, 1.126, 1.0 /) |
---|
800 | ecoll_400(:,5) = (/1.249, 1.249, 1.088, 1.090, 1.092, 1.092, 1.0 /) |
---|
801 | ecoll_400(:,6) = (/1.139, 1.139, 1.130, 1.091, 1.051, 1.051, 1.0 /) |
---|
802 | ecoll_400(:,7) = (/1.220, 1.220, 1.190, 1.138, 1.086, 1.086, 1.0 /) |
---|
803 | ecoll_400(:,8) = (/1.325, 1.325, 1.267, 1.165, 1.063, 1.063, 1.0 /) |
---|
804 | ecoll_400(:,9) = (/1.716, 1.716, 1.345, 1.223, 1.100, 1.100, 1.0 /) |
---|
805 | ecoll_400(:,10)= (/3.788, 3.788, 1.501, 1.311, 1.120, 1.120, 1.0 /) |
---|
806 | ecoll_400(:,11)= (/36.52, 36.52, 19.16, 22.80, 26.0, 26.0, 1.0 /) |
---|
807 | |
---|
808 | ENDIF |
---|
809 | |
---|
810 | ! |
---|
811 | !-- Calculate the radius class index of particles with respect to array r0 |
---|
812 | !-- Radius has to be in µm |
---|
813 | ALLOCATE( ira(1:radius_classes) ) |
---|
814 | |
---|
815 | DO j = 1, radius_classes |
---|
816 | particle_radius = radclass(j) * 1.0E6 |
---|
817 | DO k = 1, 7 |
---|
818 | IF ( particle_radius < r0(k) ) THEN |
---|
819 | ira(j) = k |
---|
820 | EXIT |
---|
821 | ENDIF |
---|
822 | ENDDO |
---|
823 | IF ( particle_radius >= r0(7) ) ira(j) = 8 |
---|
824 | ENDDO |
---|
825 | |
---|
826 | ! |
---|
827 | !-- Two-dimensional linear interpolation of the collision efficiencies |
---|
828 | !-- Radius has to be in µm |
---|
829 | DO j = 1, radius_classes |
---|
830 | DO i = 1, j |
---|
831 | |
---|
832 | ir = ira(j) |
---|
833 | rq = radclass(i) / radclass(j) |
---|
834 | |
---|
835 | DO kk = 2, 11 |
---|
836 | IF ( rq <= rat(kk) ) THEN |
---|
837 | iq = kk |
---|
838 | EXIT |
---|
839 | ENDIF |
---|
840 | ENDDO |
---|
841 | |
---|
842 | y1 = 0.0001 ! for 0 m**2/s**3 |
---|
843 | |
---|
844 | IF ( ir < 8 ) THEN |
---|
845 | IF ( ir >= 2 ) THEN |
---|
846 | pp = ( radclass(j)*1.0E6 - r0(ir-1) ) / ( r0(ir) - r0(ir-1) ) |
---|
847 | qq = ( rq - rat(iq-1) ) / ( rat(iq) - rat(iq-1) ) |
---|
848 | y2 = ( 1.0-pp ) * ( 1.0-qq ) * ecoll_100(ir-1,iq-1) + & |
---|
849 | pp * ( 1.0-qq ) * ecoll_100(ir,iq-1) + & |
---|
850 | qq * ( 1.0-pp ) * ecoll_100(ir-1,iq) + & |
---|
851 | pp * qq * ecoll_100(ir,iq) |
---|
852 | y3 = ( 1.0-pp ) * ( 1.0-qq ) * ecoll_400(ir-1,iq-1) + & |
---|
853 | pp * ( 1.0-qq ) * ecoll_400(ir,iq-1) + & |
---|
854 | qq * ( 1.0-pp ) * ecoll_400(ir-1,iq) + & |
---|
855 | pp * qq * ecoll_400(ir,iq) |
---|
856 | ELSE |
---|
857 | qq = ( rq - rat(iq-1) ) / ( rat(iq) - rat(iq-1) ) |
---|
858 | y2 = ( 1.0-qq ) * ecoll_100(1,iq-1) + qq * ecoll_100(1,iq) |
---|
859 | y3 = ( 1.0-qq ) * ecoll_400(1,iq-1) + qq * ecoll_400(1,iq) |
---|
860 | ENDIF |
---|
861 | ELSE |
---|
862 | qq = ( rq - rat(iq-1) ) / ( rat(iq) - rat(iq-1) ) |
---|
863 | y2 = ( 1.0-qq ) * ecoll_100(7,iq-1) + qq * ecoll_100(7,iq) |
---|
864 | y3 = ( 1.0-qq ) * ecoll_400(7,iq-1) + qq * ecoll_400(7,iq) |
---|
865 | ENDIF |
---|
866 | ! |
---|
867 | !-- Linear interpolation of dissipation rate in m**2/s**3 |
---|
868 | IF ( epsilon <= 0.01 ) THEN |
---|
869 | ecf(j,i) = ( epsilon - 0.01 ) / ( 0.0 - 0.01 ) * y1 & |
---|
870 | + ( epsilon - 0.0 ) / ( 0.01 - 0.0 ) * y2 |
---|
871 | ELSEIF ( epsilon <= 0.06 ) THEN |
---|
872 | ecf(j,i) = ( epsilon - 0.04 ) / ( 0.01 - 0.04 ) * y2 & |
---|
873 | + ( epsilon - 0.01 ) / ( 0.04 - 0.01 ) * y3 |
---|
874 | ELSE |
---|
875 | ecf(j,i) = ( 0.06 - 0.04 ) / ( 0.01 - 0.04 ) * y2 & |
---|
876 | + ( 0.06 - 0.01 ) / ( 0.04 - 0.01 ) * y3 |
---|
877 | ENDIF |
---|
878 | |
---|
879 | IF ( ecf(j,i) < 1.0 ) ecf(j,i) = 1.0 |
---|
880 | |
---|
881 | ecf(i,j) = ecf(j,i) |
---|
882 | |
---|
883 | ENDDO |
---|
884 | ENDDO |
---|
885 | |
---|
886 | END SUBROUTINE turb_enhance_eff |
---|
887 | |
---|
888 | |
---|
889 | |
---|
890 | SUBROUTINE collision_efficiency_rogers( mean_r, r, e) |
---|
891 | !------------------------------------------------------------------------------! |
---|
892 | ! Collision efficiencies from table 8.2 in Rogers and Yau (1989, 3rd edition). |
---|
893 | ! Values are calculated from table by bilinear interpolation. |
---|
894 | !------------------------------------------------------------------------------! |
---|
895 | |
---|
896 | IMPLICIT NONE |
---|
897 | |
---|
898 | INTEGER :: i, j, k |
---|
899 | |
---|
900 | LOGICAL, SAVE :: first = .TRUE. |
---|
901 | |
---|
902 | REAL :: aa, bb, cc, dd, dx, dy, e, gg, mean_r, mean_rm, r, & |
---|
903 | rm, x, y |
---|
904 | |
---|
905 | REAL, DIMENSION(1:9), SAVE :: collected_r = 0.0 |
---|
906 | REAL, DIMENSION(1:19), SAVE :: collector_r = 0.0 |
---|
907 | REAL, DIMENSION(1:9,1:19), SAVE :: ef = 0.0 |
---|
908 | |
---|
909 | mean_rm = mean_r * 1.0E06 |
---|
910 | rm = r * 1.0E06 |
---|
911 | |
---|
912 | IF ( first ) THEN |
---|
913 | |
---|
914 | collected_r = (/ 2.0, 3.0, 4.0, 6.0, 8.0, 10.0, 15.0, 20.0, 25.0 /) |
---|
915 | collector_r = (/ 10.0, 20.0, 30.0, 40.0, 50.0, 60.0, 80.0, 100.0, & |
---|
916 | 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 1000.0, & |
---|
917 | 1400.0, 1800.0, 2400.0, 3000.0 /) |
---|
918 | |
---|
919 | ef(:,1) = (/0.017, 0.027, 0.037, 0.052, 0.052, 0.052, 0.052, 0.0, & |
---|
920 | 0.0 /) |
---|
921 | ef(:,2) = (/0.001, 0.016, 0.027, 0.060, 0.12, 0.17, 0.17, 0.17, 0.0 /) |
---|
922 | ef(:,3) = (/0.001, 0.001, 0.02, 0.13, 0.28, 0.37, 0.54, 0.55, 0.47/) |
---|
923 | ef(:,4) = (/0.001, 0.001, 0.02, 0.23, 0.4, 0.55, 0.7, 0.75, 0.75/) |
---|
924 | ef(:,5) = (/0.01, 0.01, 0.03, 0.3, 0.4, 0.58, 0.73, 0.75, 0.79/) |
---|
925 | ef(:,6) = (/0.01, 0.01, 0.13, 0.38, 0.57, 0.68, 0.80, 0.86, 0.91/) |
---|
926 | ef(:,7) = (/0.01, 0.085, 0.23, 0.52, 0.68, 0.76, 0.86, 0.92, 0.95/) |
---|
927 | ef(:,8) = (/0.01, 0.14, 0.32, 0.60, 0.73, 0.81, 0.90, 0.94, 0.96/) |
---|
928 | ef(:,9) = (/0.025, 0.25, 0.43, 0.66, 0.78, 0.83, 0.92, 0.95, 0.96/) |
---|
929 | ef(:,10)= (/0.039, 0.3, 0.46, 0.69, 0.81, 0.87, 0.93, 0.95, 0.96/) |
---|
930 | ef(:,11)= (/0.095, 0.33, 0.51, 0.72, 0.82, 0.87, 0.93, 0.96, 0.97/) |
---|
931 | ef(:,12)= (/0.098, 0.36, 0.51, 0.73, 0.83, 0.88, 0.93, 0.96, 0.97/) |
---|
932 | ef(:,13)= (/0.1, 0.36, 0.52, 0.74, 0.83, 0.88, 0.93, 0.96, 0.97/) |
---|
933 | ef(:,14)= (/0.17, 0.4, 0.54, 0.72, 0.83, 0.88, 0.94, 0.98, 1.0 /) |
---|
934 | ef(:,15)= (/0.15, 0.37, 0.52, 0.74, 0.82, 0.88, 0.94, 0.98, 1.0 /) |
---|
935 | ef(:,16)= (/0.11, 0.34, 0.49, 0.71, 0.83, 0.88, 0.94, 0.95, 1.0 /) |
---|
936 | ef(:,17)= (/0.08, 0.29, 0.45, 0.68, 0.8, 0.86, 0.96, 0.94, 1.0 /) |
---|
937 | ef(:,18)= (/0.04, 0.22, 0.39, 0.62, 0.75, 0.83, 0.92, 0.96, 1.0 /) |
---|
938 | ef(:,19)= (/0.02, 0.16, 0.33, 0.55, 0.71, 0.81, 0.90, 0.94, 1.0 /) |
---|
939 | |
---|
940 | ENDIF |
---|
941 | |
---|
942 | DO k = 1, 8 |
---|
943 | IF ( collected_r(k) <= mean_rm ) i = k |
---|
944 | ENDDO |
---|
945 | |
---|
946 | DO k = 1, 18 |
---|
947 | IF ( collector_r(k) <= rm ) j = k |
---|
948 | ENDDO |
---|
949 | |
---|
950 | IF ( rm < 10.0 ) THEN |
---|
951 | e = 0.0 |
---|
952 | ELSEIF ( mean_rm < 2.0 ) THEN |
---|
953 | e = 0.001 |
---|
954 | ELSEIF ( mean_rm >= 25.0 ) THEN |
---|
955 | IF( j <= 2 ) e = 0.0 |
---|
956 | IF( j == 3 ) e = 0.47 |
---|
957 | IF( j == 4 ) e = 0.8 |
---|
958 | IF( j == 5 ) e = 0.9 |
---|
959 | IF( j >=6 ) e = 1.0 |
---|
960 | ELSEIF ( rm >= 3000.0 ) THEN |
---|
961 | IF( i == 1 ) e = 0.02 |
---|
962 | IF( i == 2 ) e = 0.16 |
---|
963 | IF( i == 3 ) e = 0.33 |
---|
964 | IF( i == 4 ) e = 0.55 |
---|
965 | IF( i == 5 ) e = 0.71 |
---|
966 | IF( i == 6 ) e = 0.81 |
---|
967 | IF( i == 7 ) e = 0.90 |
---|
968 | IF( i >= 8 ) e = 0.94 |
---|
969 | ELSE |
---|
970 | x = mean_rm - collected_r(i) |
---|
971 | y = rm - collector_r(j) |
---|
972 | dx = collected_r(i+1) - collected_r(i) |
---|
973 | dy = collector_r(j+1) - collector_r(j) |
---|
974 | aa = x**2 + y**2 |
---|
975 | bb = ( dx - x )**2 + y**2 |
---|
976 | cc = x**2 + ( dy - y )**2 |
---|
977 | dd = ( dx - x )**2 + ( dy - y )**2 |
---|
978 | gg = aa + bb + cc + dd |
---|
979 | |
---|
980 | e = ( (gg-aa)*ef(i,j) + (gg-bb)*ef(i+1,j) + (gg-cc)*ef(i,j+1) + & |
---|
981 | (gg-dd)*ef(i+1,j+1) ) / (3.0*gg) |
---|
982 | ENDIF |
---|
983 | |
---|
984 | END SUBROUTINE collision_efficiency_rogers |
---|
985 | |
---|
986 | END MODULE lpm_collision_kernels_mod |
---|