1 | !********************************************************************** |
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2 | ! Copyright 1998,1999,2000,2001,2002,2005,2007,2008,2009,2010 * |
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3 | ! Andreas Stohl, Petra Seibert, A. Frank, Gerhard Wotawa, * |
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4 | ! Caroline Forster, Sabine Eckhardt, John Burkhart, Harald Sodemann * |
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5 | ! * |
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6 | ! This file is part of FLEXPART. * |
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7 | ! * |
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8 | ! FLEXPART is free software: you can redistribute it and/or modify * |
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9 | ! it under the terms of the GNU General Public License as published by* |
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10 | ! the Free Software Foundation, either version 3 of the License, or * |
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11 | ! (at your option) any later version. * |
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12 | ! * |
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13 | ! FLEXPART is distributed in the hope that it will be useful, * |
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14 | ! but WITHOUT ANY WARRANTY; without even the implied warranty of * |
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15 | ! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * |
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16 | ! GNU General Public License for more details. * |
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17 | ! * |
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18 | ! You should have received a copy of the GNU General Public License * |
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19 | ! along with FLEXPART. If not, see <http://www.gnu.org/licenses/>. * |
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20 | !********************************************************************** |
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21 | |
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22 | subroutine advance(itime,nrelpoint,ldt,up,vp,wp, & |
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23 | usigold,vsigold,wsigold,nstop,xt,yt,zt,prob,icbt) |
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24 | ! i i i/oi/oi/o |
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25 | ! i/o i/o i/o o i/oi/oi/o i/o i/o |
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26 | !***************************************************************************** |
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27 | ! * |
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28 | ! Calculation of turbulent particle trajectories utilizing a * |
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29 | ! zero-acceleration scheme, which is corrected by a numerically more * |
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30 | ! accurate Petterssen scheme whenever possible. * |
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31 | ! * |
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32 | ! Particle positions are read in, incremented, and returned to the calling * |
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33 | ! program. * |
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34 | ! * |
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35 | ! In different regions of the atmosphere (PBL vs. free troposphere), * |
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36 | ! different parameters are needed for advection, parameterizing turbulent * |
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37 | ! velocities, etc. For efficiency, different interpolation routines have * |
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38 | ! been written for these different cases, with the disadvantage that there * |
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39 | ! exist several routines doing almost the same. They all share the * |
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40 | ! included file 'interpol_mod'. The following * |
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41 | ! interpolation routines are used: * |
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42 | ! * |
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43 | ! interpol_all(_nests) interpolates everything (called inside the PBL) * |
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44 | ! interpol_misslev(_nests) if a particle moves vertically in the PBL, * |
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45 | ! additional parameters are interpolated if it * |
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46 | ! crosses a model level * |
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47 | ! interpol_wind(_nests) interpolates the wind and determines the * |
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48 | ! standard deviation of the wind (called outside * |
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49 | ! PBL) also interpolates potential vorticity * |
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50 | ! interpol_wind_short(_nests) only interpolates the wind (needed for the * |
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51 | ! Petterssen scheme) * |
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52 | ! interpol_vdep(_nests) interpolates deposition velocities * |
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53 | ! * |
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54 | ! * |
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55 | ! Author: A. Stohl * |
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56 | ! * |
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57 | ! 16 December 1997 * |
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58 | ! * |
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59 | ! Changes: * |
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60 | ! * |
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61 | ! 8 April 2000: Deep convection parameterization * |
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62 | ! * |
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63 | ! May 2002: Petterssen scheme introduced * |
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64 | ! * |
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65 | !***************************************************************************** |
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66 | ! * |
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67 | ! Variables: * |
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68 | ! icbt 1 if particle not transferred to forbidden state, * |
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69 | ! else -1 * |
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70 | ! dawsave accumulated displacement in along-wind direction * |
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71 | ! dcwsave accumulated displacement in cross-wind direction * |
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72 | ! dxsave accumulated displacement in longitude * |
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73 | ! dysave accumulated displacement in latitude * |
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74 | ! h [m] Mixing height * |
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75 | ! lwindinterv [s] time interval between two wind fields * |
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76 | ! itime [s] time at which this subroutine is entered * |
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77 | ! itimec [s] actual time, which is incremented in this subroutine * |
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78 | ! href [m] height for which dry deposition velocity is calculated * |
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79 | ! ladvance [s] Total integration time period * |
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80 | ! ldirect 1 forward, -1 backward * |
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81 | ! ldt [s] Time step for the next integration * |
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82 | ! lsynctime [s] Synchronisation interval of FLEXPART * |
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83 | ! ngrid index which grid is to be used * |
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84 | ! nrand index for a variable to be picked from rannumb * |
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85 | ! nstop if > 1 particle has left domain and must be stopped * |
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86 | ! prob probability of absorption due to dry deposition * |
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87 | ! rannumb(maxrand) normally distributed random variables * |
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88 | ! rhoa air density * |
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89 | ! rhograd vertical gradient of the air density * |
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90 | ! up,vp,wp random velocities due to turbulence (along wind, cross * |
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91 | ! wind, vertical wind * |
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92 | ! usig,vsig,wsig mesoscale wind fluctuations * |
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93 | ! usigold,vsigold,wsigold like usig, etc., but for the last time step * |
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94 | ! vdepo Deposition velocities for all species * |
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95 | ! xt,yt,zt Particle position * |
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96 | ! * |
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97 | !***************************************************************************** |
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98 | |
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99 | use point_mod |
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100 | use par_mod |
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101 | use com_mod |
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102 | use interpol_mod |
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103 | use hanna_mod |
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104 | use cmapf_mod |
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105 | |
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106 | implicit none |
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107 | |
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108 | real(kind=dp) :: xt,yt |
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109 | real :: zt,xts,yts,weight |
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110 | integer :: itime,itimec,nstop,ldt,i,j,k,nrand,loop,memindnext |
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111 | integer :: ngr,nix,njy,ks,nsp,nrelpoint |
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112 | real :: dz,dz1,dz2,xlon,ylat,xpol,ypol,gridsize |
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113 | real :: ru,rv,rw,dt,ux,vy,cosfact,xtn,ytn,tropop |
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114 | real :: prob(maxspec),up,vp,wp,dxsave,dysave,dawsave |
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115 | real :: dcwsave |
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116 | real :: usigold,vsigold,wsigold,r,rs |
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117 | real :: uold,vold,wold,vdepo(maxspec) |
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118 | !real uprof(nzmax),vprof(nzmax),wprof(nzmax) |
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119 | !real usigprof(nzmax),vsigprof(nzmax),wsigprof(nzmax) |
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120 | !real rhoprof(nzmax),rhogradprof(nzmax) |
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121 | real :: rhoa,rhograd,ran3,delz,dtf,rhoaux,dtftlw,uxscale,wpscale |
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122 | integer(kind=2) :: icbt |
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123 | real,parameter :: eps=nxmax/3.e5,eps2=1.e-9 |
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124 | |
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125 | |
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126 | !!! CHANGE: TEST OF THE WELL-MIXED CRITERION |
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127 | ! integer,parameter :: iclass=10 |
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128 | ! real(kind=dp) :: zacc,tacc,t(iclass),th(0:iclass),hsave |
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129 | ! logical dump |
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130 | ! save zacc,tacc,t,th,hsave,dump |
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131 | !!! CHANGE |
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132 | |
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133 | integer :: idummy = -7 |
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134 | real :: settling = 0. |
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135 | |
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136 | |
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137 | !!! CHANGE: TEST OF THE WELL-MIXED CRITERION |
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138 | !if (idummy.eq.-7) then |
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139 | !open(550,file='WELLMIXEDTEST') |
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140 | !do 17 i=0,iclass |
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141 | !7 th(i)=real(i)/real(iclass) |
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142 | !endif |
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143 | !!! CHANGE |
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144 | |
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145 | |
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146 | nstop=0 |
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147 | do i=1,nmixz |
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148 | indzindicator(i)=.true. |
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149 | end do |
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150 | |
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151 | |
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152 | if (DRYDEP) then ! reset probability for deposition |
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153 | do ks=1,nspec |
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154 | depoindicator(ks)=.true. |
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155 | prob(ks)=0. |
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156 | end do |
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157 | endif |
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158 | |
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159 | dxsave=0. ! reset position displacements |
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160 | dysave=0. ! due to mean wind |
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161 | dawsave=0. ! and turbulent wind |
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162 | dcwsave=0. |
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163 | |
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164 | itimec=itime |
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165 | |
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166 | nrand=int(ran3(idummy)*real(maxrand-1))+1 |
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167 | |
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168 | |
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169 | ! Determine whether lat/long grid or polarstereographic projection |
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170 | ! is to be used |
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171 | ! Furthermore, determine which nesting level to be used |
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172 | !***************************************************************** |
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173 | |
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174 | if (nglobal.and.(yt.gt.switchnorthg)) then |
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175 | ngrid=-1 |
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176 | else if (sglobal.and.(yt.lt.switchsouthg)) then |
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177 | ngrid=-2 |
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178 | else |
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179 | ngrid=0 |
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180 | do j=numbnests,1,-1 |
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181 | if ((xt.gt.xln(j)+eps).and.(xt.lt.xrn(j)-eps).and. & |
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182 | (yt.gt.yln(j)+eps).and.(yt.lt.yrn(j)-eps)) then |
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183 | ngrid=j |
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184 | goto 23 |
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185 | endif |
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186 | end do |
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187 | 23 continue |
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188 | endif |
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189 | |
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190 | |
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191 | !*************************** |
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192 | ! Interpolate necessary data |
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193 | !*************************** |
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194 | |
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195 | if (abs(itime-memtime(1)).lt.abs(itime-memtime(2))) then |
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196 | memindnext=1 |
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197 | else |
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198 | memindnext=2 |
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199 | endif |
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200 | |
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201 | ! Determine nested grid coordinates |
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202 | !********************************** |
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203 | |
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204 | if (ngrid.gt.0) then |
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205 | xtn=(xt-xln(ngrid))*xresoln(ngrid) |
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206 | ytn=(yt-yln(ngrid))*yresoln(ngrid) |
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207 | ix=int(xtn) |
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208 | jy=int(ytn) |
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209 | nix=nint(xtn) |
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210 | njy=nint(ytn) |
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211 | else |
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212 | ix=int(xt) |
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213 | jy=int(yt) |
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214 | nix=nint(xt) |
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215 | njy=nint(yt) |
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216 | endif |
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217 | ixp=ix+1 |
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218 | jyp=jy+1 |
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219 | |
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220 | |
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221 | ! Compute maximum mixing height around particle position |
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222 | !******************************************************* |
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223 | |
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224 | h=0. |
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225 | if (ngrid.le.0) then |
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226 | do k=1,2 |
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227 | do j=jy,jyp |
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228 | do i=ix,ixp |
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229 | if (hmix(i,j,1,k).gt.h) h=hmix(i,j,1,k) |
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230 | end do |
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231 | end do |
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232 | end do |
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233 | tropop=tropopause(nix,njy,1,1) |
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234 | else |
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235 | do k=1,2 |
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236 | do j=jy,jyp |
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237 | do i=ix,ixp |
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238 | if (hmixn(i,j,1,k,ngrid).gt.h) h=hmixn(i,j,1,k,ngrid) |
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239 | end do |
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240 | end do |
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241 | end do |
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242 | tropop=tropopausen(nix,njy,1,1,ngrid) |
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243 | endif |
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244 | |
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245 | zeta=zt/h |
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246 | |
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247 | |
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248 | |
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249 | !************************************************************* |
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250 | ! If particle is in the PBL, interpolate once and then make a |
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251 | ! time loop until end of interval is reached |
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252 | !************************************************************* |
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253 | |
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254 | if (zeta.le.1.) then |
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255 | |
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256 | ! BEGIN TIME LOOP |
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257 | !================ |
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258 | |
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259 | loop=0 |
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260 | 100 loop=loop+1 |
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261 | if (method.eq.1) then |
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262 | ldt=min(ldt,abs(lsynctime-itimec+itime)) |
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263 | itimec=itimec+ldt*ldirect |
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264 | else |
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265 | ldt=abs(lsynctime) |
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266 | itimec=itime+lsynctime |
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267 | endif |
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268 | dt=real(ldt) |
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269 | |
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270 | zeta=zt/h |
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271 | |
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272 | |
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273 | if (loop.eq.1) then |
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274 | if (ngrid.le.0) then |
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275 | xts=real(xt) |
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276 | yts=real(yt) |
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277 | call interpol_all(itime,xts,yts,zt) |
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278 | else |
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279 | call interpol_all_nests(itime,xtn,ytn,zt) |
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280 | endif |
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281 | |
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282 | else |
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283 | |
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284 | |
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285 | ! Determine the level below the current position for u,v,rho |
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286 | !*********************************************************** |
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287 | |
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288 | do i=2,nz |
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289 | if (height(i).gt.zt) then |
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290 | indz=i-1 |
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291 | indzp=i |
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292 | goto 6 |
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293 | endif |
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294 | end do |
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295 | 6 continue |
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296 | |
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297 | ! If one of the levels necessary is not yet available, |
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298 | ! calculate it |
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299 | !***************************************************** |
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300 | |
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301 | do i=indz,indzp |
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302 | if (indzindicator(i)) then |
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303 | if (ngrid.le.0) then |
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304 | call interpol_misslev(i) |
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305 | else |
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306 | call interpol_misslev_nests(i) |
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307 | endif |
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308 | endif |
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309 | end do |
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310 | endif |
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311 | |
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312 | |
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313 | ! Vertical interpolation of u,v,w,rho and drhodz |
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314 | !*********************************************** |
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315 | |
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316 | ! Vertical distance to the level below and above current position |
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317 | ! both in terms of (u,v) and (w) fields |
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318 | !**************************************************************** |
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319 | |
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320 | dz=1./(height(indzp)-height(indz)) |
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321 | dz1=(zt-height(indz))*dz |
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322 | dz2=(height(indzp)-zt)*dz |
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323 | |
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324 | u=dz1*uprof(indzp)+dz2*uprof(indz) |
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325 | v=dz1*vprof(indzp)+dz2*vprof(indz) |
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326 | w=dz1*wprof(indzp)+dz2*wprof(indz) |
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327 | rhoa=dz1*rhoprof(indzp)+dz2*rhoprof(indz) |
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328 | rhograd=dz1*rhogradprof(indzp)+dz2*rhogradprof(indz) |
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329 | |
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330 | |
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331 | ! Compute the turbulent disturbances |
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332 | ! Determine the sigmas and the timescales |
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333 | !**************************************** |
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334 | |
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335 | if (turbswitch) then |
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336 | call hanna(zt) |
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337 | else |
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338 | call hanna1(zt) |
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339 | endif |
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340 | |
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341 | |
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342 | !***************************************** |
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343 | ! Determine the new diffusivity velocities |
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344 | !***************************************** |
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345 | |
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346 | ! Horizontal components |
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347 | !********************** |
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348 | |
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349 | if (nrand+1.gt.maxrand) nrand=1 |
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350 | if (dt/tlu.lt..5) then |
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351 | up=(1.-dt/tlu)*up+rannumb(nrand)*sigu*sqrt(2.*dt/tlu) |
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352 | else |
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353 | ru=exp(-dt/tlu) |
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354 | up=ru*up+rannumb(nrand)*sigu*sqrt(1.-ru**2) |
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355 | endif |
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356 | if (dt/tlv.lt..5) then |
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357 | vp=(1.-dt/tlv)*vp+rannumb(nrand+1)*sigv*sqrt(2.*dt/tlv) |
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358 | else |
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359 | rv=exp(-dt/tlv) |
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360 | vp=rv*vp+rannumb(nrand+1)*sigv*sqrt(1.-rv**2) |
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361 | endif |
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362 | nrand=nrand+2 |
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363 | |
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364 | |
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365 | if (nrand+ifine.gt.maxrand) nrand=1 |
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366 | rhoaux=rhograd/rhoa |
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367 | dtf=dt*fine |
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368 | |
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369 | dtftlw=dtf/tlw |
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370 | |
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371 | ! Loop over ifine short time steps for vertical component |
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372 | !******************************************************** |
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373 | |
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374 | do i=1,ifine |
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375 | |
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376 | ! Determine the drift velocity and density correction velocity |
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377 | !************************************************************* |
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378 | |
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379 | if (turbswitch) then |
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380 | if (dtftlw.lt..5) then |
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381 | wp=((1.-dtftlw)*wp+rannumb(nrand+i)*sqrt(2.*dtftlw) & |
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382 | +dtf*(dsigwdz+rhoaux*sigw))*real(icbt) |
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383 | else |
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384 | rw=exp(-dtftlw) |
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385 | wp=(rw*wp+rannumb(nrand+i)*sqrt(1.-rw**2) & |
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386 | +tlw*(1.-rw)*(dsigwdz+rhoaux*sigw))*real(icbt) |
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387 | endif |
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388 | delz=wp*sigw*dtf |
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389 | else |
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390 | rw=exp(-dtftlw) |
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391 | wp=(rw*wp+rannumb(nrand+i)*sqrt(1.-rw**2)*sigw & |
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392 | +tlw*(1.-rw)*(dsigw2dz+rhoaux*sigw**2))*real(icbt) |
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393 | delz=wp*dtf |
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394 | endif |
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395 | |
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396 | !**************************************************** |
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397 | ! Compute turbulent vertical displacement of particle |
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398 | !**************************************************** |
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399 | |
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400 | if (abs(delz).gt.h) delz=mod(delz,h) |
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401 | |
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402 | ! Determine if particle transfers to a "forbidden state" below the ground |
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403 | ! or above the mixing height |
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404 | !************************************************************************ |
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405 | |
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406 | if (delz.lt.-zt) then ! reflection at ground |
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407 | icbt=-1 |
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408 | zt=-zt-delz |
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409 | else if (delz.gt.(h-zt)) then ! reflection at h |
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410 | icbt=-1 |
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411 | zt=-zt-delz+2.*h |
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412 | else ! no reflection |
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413 | icbt=1 |
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414 | zt=zt+delz |
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415 | endif |
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416 | |
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417 | if (i.ne.ifine) then |
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418 | zeta=zt/h |
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419 | call hanna_short(zt) |
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420 | endif |
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421 | |
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422 | end do |
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423 | nrand=nrand+i |
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424 | |
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425 | ! Determine time step for next integration |
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426 | !***************************************** |
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427 | |
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428 | if (turbswitch) then |
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429 | ldt=int(min(tlw,h/max(2.*abs(wp*sigw),1.e-5), & |
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430 | 0.5/abs(dsigwdz))*ctl) |
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431 | else |
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432 | ldt=int(min(tlw,h/max(2.*abs(wp),1.e-5))*ctl) |
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433 | endif |
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434 | ldt=max(ldt,mintime) |
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435 | |
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436 | |
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437 | ! If particle represents only a single species, add gravitational settling |
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438 | ! velocity. The settling velocity is zero for gases, or if particle |
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439 | ! represents more than one species |
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440 | !************************************************************************* |
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441 | |
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442 | if (mdomainfill.eq.0) then |
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443 | do nsp=1,nspec |
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444 | if (xmass(nrelpoint,nsp).gt.eps2) goto 887 |
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445 | end do |
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446 | 887 nsp=min(nsp,nspec) |
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447 | !!$ if (density(nsp).gt.0.) & |
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448 | !!$ call get_settling(itime,xts,yts,zt,nsp,settling) !old |
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449 | if (density(nsp).gt.0.) & |
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450 | call get_settling(itime,real(xt),real(yt),zt,nsp,settling) !bugfix |
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451 | w=w+settling |
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452 | endif |
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453 | |
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454 | ! Horizontal displacements during time step dt are small real values compared |
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455 | ! to the position; adding the two, would result in large numerical errors. |
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456 | ! Thus, displacements are accumulated during lsynctime and are added to the |
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457 | ! position at the end |
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458 | !**************************************************************************** |
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459 | |
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460 | dxsave=dxsave+u*dt |
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461 | dysave=dysave+v*dt |
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462 | dawsave=dawsave+up*dt |
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463 | dcwsave=dcwsave+vp*dt |
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464 | zt=zt+w*dt*real(ldirect) |
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465 | |
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466 | if (zt.gt.h) then |
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467 | if (itimec.eq.itime+lsynctime) goto 99 |
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468 | goto 700 ! complete the current interval above PBL |
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469 | endif |
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470 | |
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471 | |
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472 | !!! CHANGE: TEST OF THE WELL-MIXED CRITERION |
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473 | !!! These lines may be switched on to test the well-mixed criterion |
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474 | !if (zt.le.h) then |
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475 | ! zacc=zacc+zt/h*dt |
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476 | ! hsave=hsave+h*dt |
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477 | ! tacc=tacc+dt |
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478 | ! do 67 i=1,iclass |
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479 | ! if ((zt/h.gt.th(i-1)).and.(zt/h.le.th(i))) |
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480 | ! + t(i)=t(i)+dt |
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481 | !7 continue |
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482 | !endif |
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483 | !if ((mod(itime,10800).eq.0).and.dump) then |
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484 | ! dump=.false. |
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485 | ! write(550,'(i6,12f10.3)') itime,hsave/tacc,zacc/tacc, |
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486 | ! + (t(i)/tacc*real(iclass),i=1,iclass) |
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487 | ! zacc=0. |
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488 | ! tacc=0. |
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489 | ! do 68 i=1,iclass |
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490 | !8 t(i)=0. |
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491 | ! hsave=0. |
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492 | !endif |
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493 | !if (mod(itime,10800).ne.0) dump=.true. |
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494 | !!! CHANGE |
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495 | |
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496 | |
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497 | ! Determine probability of deposition |
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498 | !************************************ |
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499 | |
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500 | if ((DRYDEP).and.(zt.lt.2.*href)) then |
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501 | do ks=1,nspec |
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502 | if (DRYDEPSPEC(ks)) then |
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503 | if (depoindicator(ks)) then |
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504 | if (ngrid.le.0) then |
---|
505 | call interpol_vdep(ks,vdepo(ks)) |
---|
506 | else |
---|
507 | call interpol_vdep_nests(ks,vdepo(ks)) |
---|
508 | endif |
---|
509 | endif |
---|
510 | ! correction by Petra Seibert, 10 April 2001 |
---|
511 | ! this formulation means that prob(n) = 1 - f(0)*...*f(n) |
---|
512 | ! where f(n) is the exponential term |
---|
513 | prob(ks)=1.+(prob(ks)-1.)* & |
---|
514 | exp(-vdepo(ks)*abs(dt)/(2.*href)) |
---|
515 | endif |
---|
516 | end do |
---|
517 | endif |
---|
518 | |
---|
519 | if (zt.lt.0.) zt=min(h-eps2,-1.*zt) ! if particle below ground -> reflection |
---|
520 | |
---|
521 | if (itimec.eq.(itime+lsynctime)) then |
---|
522 | usig=0.5*(usigprof(indzp)+usigprof(indz)) |
---|
523 | vsig=0.5*(vsigprof(indzp)+vsigprof(indz)) |
---|
524 | wsig=0.5*(wsigprof(indzp)+wsigprof(indz)) |
---|
525 | goto 99 ! finished |
---|
526 | endif |
---|
527 | goto 100 |
---|
528 | |
---|
529 | ! END TIME LOOP |
---|
530 | !============== |
---|
531 | |
---|
532 | |
---|
533 | endif |
---|
534 | |
---|
535 | |
---|
536 | |
---|
537 | !********************************************************** |
---|
538 | ! For all particles that are outside the PBL, make a single |
---|
539 | ! time step. Only horizontal turbulent disturbances are |
---|
540 | ! calculated. Vertical disturbances are reset. |
---|
541 | !********************************************************** |
---|
542 | |
---|
543 | |
---|
544 | ! Interpolate the wind |
---|
545 | !********************* |
---|
546 | |
---|
547 | 700 continue |
---|
548 | if (ngrid.le.0) then |
---|
549 | xts=real(xt) |
---|
550 | yts=real(yt) |
---|
551 | call interpol_wind(itime,xts,yts,zt) |
---|
552 | else |
---|
553 | call interpol_wind_nests(itime,xtn,ytn,zt) |
---|
554 | endif |
---|
555 | |
---|
556 | |
---|
557 | ! Compute everything for above the PBL |
---|
558 | |
---|
559 | ! Assume constant, uncorrelated, turbulent perturbations |
---|
560 | ! In the stratosphere, use a small vertical diffusivity d_strat, |
---|
561 | ! in the troposphere, use a larger horizontal diffusivity d_trop. |
---|
562 | ! Turbulent velocity scales are determined based on sqrt(d_trop/dt) |
---|
563 | !****************************************************************** |
---|
564 | |
---|
565 | ldt=abs(lsynctime-itimec+itime) |
---|
566 | dt=real(ldt) |
---|
567 | |
---|
568 | if (zt.lt.tropop) then ! in the troposphere |
---|
569 | uxscale=sqrt(2.*d_trop/dt) |
---|
570 | if (nrand+1.gt.maxrand) nrand=1 |
---|
571 | ux=rannumb(nrand)*uxscale |
---|
572 | vy=rannumb(nrand+1)*uxscale |
---|
573 | nrand=nrand+2 |
---|
574 | wp=0. |
---|
575 | else if (zt.lt.tropop+1000.) then ! just above the tropopause: make transition |
---|
576 | weight=(zt-tropop)/1000. |
---|
577 | uxscale=sqrt(2.*d_trop/dt*(1.-weight)) |
---|
578 | if (nrand+2.gt.maxrand) nrand=1 |
---|
579 | ux=rannumb(nrand)*uxscale |
---|
580 | vy=rannumb(nrand+1)*uxscale |
---|
581 | wpscale=sqrt(2.*d_strat/dt*weight) |
---|
582 | wp=rannumb(nrand+2)*wpscale+d_strat/1000. |
---|
583 | nrand=nrand+3 |
---|
584 | else ! in the stratosphere |
---|
585 | if (nrand.gt.maxrand) nrand=1 |
---|
586 | ux=0. |
---|
587 | vy=0. |
---|
588 | wpscale=sqrt(2.*d_strat/dt) |
---|
589 | wp=rannumb(nrand)*wpscale |
---|
590 | nrand=nrand+1 |
---|
591 | endif |
---|
592 | |
---|
593 | |
---|
594 | ! If particle represents only a single species, add gravitational settling |
---|
595 | ! velocity. The settling velocity is zero for gases |
---|
596 | !************************************************************************* |
---|
597 | |
---|
598 | |
---|
599 | |
---|
600 | if (mdomainfill.eq.0) then |
---|
601 | do nsp=1,nspec |
---|
602 | if (xmass(nrelpoint,nsp).gt.eps2) goto 888 |
---|
603 | end do |
---|
604 | 888 nsp=min(nsp,nspec) |
---|
605 | !!$ if (density(nsp).gt.0.) & |
---|
606 | !!$ call get_settling(itime,xts,yts,zt,nsp,settling) !old |
---|
607 | if (density(nsp).gt.0.) & |
---|
608 | call get_settling(itime,real(xt),real(yt),zt,nsp,settling) !bugfix |
---|
609 | w=w+settling |
---|
610 | endif |
---|
611 | |
---|
612 | ! Calculate position at time step itime+lsynctime |
---|
613 | !************************************************ |
---|
614 | |
---|
615 | dxsave=dxsave+(u+ux)*dt |
---|
616 | dysave=dysave+(v+vy)*dt |
---|
617 | zt=zt+(w+wp)*dt*real(ldirect) |
---|
618 | if (zt.lt.0.) zt=min(h-eps2,-1.*zt) ! if particle below ground -> reflection |
---|
619 | |
---|
620 | 99 continue |
---|
621 | |
---|
622 | |
---|
623 | |
---|
624 | !**************************************************************** |
---|
625 | ! Add mesoscale random disturbances |
---|
626 | ! This is done only once for the whole lsynctime interval to save |
---|
627 | ! computation time |
---|
628 | !**************************************************************** |
---|
629 | |
---|
630 | |
---|
631 | ! Mesoscale wind velocity fluctuations are obtained by scaling |
---|
632 | ! with the standard deviation of the grid-scale winds surrounding |
---|
633 | ! the particle location, multiplied by a factor turbmesoscale. |
---|
634 | ! The autocorrelation time constant is taken as half the |
---|
635 | ! time interval between wind fields |
---|
636 | !**************************************************************** |
---|
637 | |
---|
638 | r=exp(-2.*real(abs(lsynctime))/real(lwindinterv)) |
---|
639 | rs=sqrt(1.-r**2) |
---|
640 | if (nrand+2.gt.maxrand) nrand=1 |
---|
641 | usigold=r*usigold+rs*rannumb(nrand)*usig*turbmesoscale |
---|
642 | vsigold=r*vsigold+rs*rannumb(nrand+1)*vsig*turbmesoscale |
---|
643 | wsigold=r*wsigold+rs*rannumb(nrand+2)*wsig*turbmesoscale |
---|
644 | |
---|
645 | dxsave=dxsave+usigold*real(lsynctime) |
---|
646 | dysave=dysave+vsigold*real(lsynctime) |
---|
647 | |
---|
648 | zt=zt+wsigold*real(lsynctime) |
---|
649 | if (zt.lt.0.) zt=-1.*zt ! if particle below ground -> refletion |
---|
650 | |
---|
651 | !************************************************************* |
---|
652 | ! Transform along and cross wind components to xy coordinates, |
---|
653 | ! add them to u and v, transform u,v to grid units/second |
---|
654 | ! and calculate new position |
---|
655 | !************************************************************* |
---|
656 | |
---|
657 | call windalign(dxsave,dysave,dawsave,dcwsave,ux,vy) |
---|
658 | dxsave=dxsave+ux |
---|
659 | dysave=dysave+vy |
---|
660 | if (ngrid.ge.0) then |
---|
661 | cosfact=dxconst/cos((yt*dy+ylat0)*pi180) |
---|
662 | xt=xt+real(dxsave*cosfact*real(ldirect),kind=dp) |
---|
663 | yt=yt+real(dysave*dyconst*real(ldirect),kind=dp) |
---|
664 | else if (ngrid.eq.-1) then ! around north pole |
---|
665 | xlon=xlon0+xt*dx |
---|
666 | ylat=ylat0+yt*dy |
---|
667 | call cll2xy(northpolemap,ylat,xlon,xpol,ypol) |
---|
668 | gridsize=1000.*cgszll(northpolemap,ylat,xlon) |
---|
669 | dxsave=dxsave/gridsize |
---|
670 | dysave=dysave/gridsize |
---|
671 | xpol=xpol+dxsave*real(ldirect) |
---|
672 | ypol=ypol+dysave*real(ldirect) |
---|
673 | call cxy2ll(northpolemap,xpol,ypol,ylat,xlon) |
---|
674 | xt=(xlon-xlon0)/dx |
---|
675 | yt=(ylat-ylat0)/dy |
---|
676 | else if (ngrid.eq.-2) then ! around south pole |
---|
677 | xlon=xlon0+xt*dx |
---|
678 | ylat=ylat0+yt*dy |
---|
679 | call cll2xy(southpolemap,ylat,xlon,xpol,ypol) |
---|
680 | gridsize=1000.*cgszll(southpolemap,ylat,xlon) |
---|
681 | dxsave=dxsave/gridsize |
---|
682 | dysave=dysave/gridsize |
---|
683 | xpol=xpol+dxsave*real(ldirect) |
---|
684 | ypol=ypol+dysave*real(ldirect) |
---|
685 | call cxy2ll(southpolemap,xpol,ypol,ylat,xlon) |
---|
686 | xt=(xlon-xlon0)/dx |
---|
687 | yt=(ylat-ylat0)/dy |
---|
688 | endif |
---|
689 | |
---|
690 | |
---|
691 | ! If global data are available, use cyclic boundary condition |
---|
692 | !************************************************************ |
---|
693 | |
---|
694 | if (xglobal) then |
---|
695 | if (xt.ge.real(nxmin1)) xt=xt-real(nxmin1) |
---|
696 | if (xt.lt.0.) xt=xt+real(nxmin1) |
---|
697 | if (xt.le.eps) xt=eps |
---|
698 | if (abs(xt-real(nxmin1)).le.eps) xt=real(nxmin1)-eps |
---|
699 | endif |
---|
700 | |
---|
701 | |
---|
702 | ! Check position: If trajectory outside model domain, terminate it |
---|
703 | !***************************************************************** |
---|
704 | |
---|
705 | if ((xt.lt.0.).or.(xt.ge.real(nxmin1)).or.(yt.lt.0.).or. & |
---|
706 | (yt.ge.real(nymin1))) then |
---|
707 | nstop=3 |
---|
708 | return |
---|
709 | endif |
---|
710 | |
---|
711 | ! If particle above highest model level, set it back into the domain |
---|
712 | !******************************************************************* |
---|
713 | |
---|
714 | if (zt.ge.height(nz)) zt=height(nz)-100.*eps |
---|
715 | |
---|
716 | |
---|
717 | !************************************************************************ |
---|
718 | ! Now we could finish, as this was done in FLEXPART versions up to 4.0. |
---|
719 | ! However, truncation errors of the advection can be significantly |
---|
720 | ! reduced by doing one iteration of the Petterssen scheme, if this is |
---|
721 | ! possible. |
---|
722 | ! Note that this is applied only to the grid-scale winds, not to |
---|
723 | ! the turbulent winds. |
---|
724 | !************************************************************************ |
---|
725 | |
---|
726 | ! The Petterssen scheme can only applied with long time steps (only then u |
---|
727 | ! is the "old" wind as required by the scheme); otherwise do nothing |
---|
728 | !************************************************************************* |
---|
729 | |
---|
730 | if (ldt.ne.abs(lsynctime)) return |
---|
731 | |
---|
732 | ! The Petterssen scheme can only be applied if the ending time of the time step |
---|
733 | ! (itime+ldt*ldirect) is still between the two wind fields held in memory; |
---|
734 | ! otherwise do nothing |
---|
735 | !****************************************************************************** |
---|
736 | |
---|
737 | if (abs(itime+ldt*ldirect).gt.abs(memtime(2))) return |
---|
738 | |
---|
739 | ! Apply it also only if starting and ending point of current time step are on |
---|
740 | ! the same grid; otherwise do nothing |
---|
741 | !***************************************************************************** |
---|
742 | if (nglobal.and.(yt.gt.switchnorthg)) then |
---|
743 | ngr=-1 |
---|
744 | else if (sglobal.and.(yt.lt.switchsouthg)) then |
---|
745 | ngr=-2 |
---|
746 | else |
---|
747 | ngr=0 |
---|
748 | do j=numbnests,1,-1 |
---|
749 | if ((xt.gt.xln(j)+eps).and.(xt.lt.xrn(j)-eps).and. & |
---|
750 | (yt.gt.yln(j)+eps).and.(yt.lt.yrn(j)-eps)) then |
---|
751 | ngr=j |
---|
752 | goto 43 |
---|
753 | endif |
---|
754 | end do |
---|
755 | 43 continue |
---|
756 | endif |
---|
757 | |
---|
758 | if (ngr.ne.ngrid) return |
---|
759 | |
---|
760 | ! Determine nested grid coordinates |
---|
761 | !********************************** |
---|
762 | |
---|
763 | if (ngrid.gt.0) then |
---|
764 | xtn=(xt-xln(ngrid))*xresoln(ngrid) |
---|
765 | ytn=(yt-yln(ngrid))*yresoln(ngrid) |
---|
766 | ix=int(xtn) |
---|
767 | jy=int(ytn) |
---|
768 | else |
---|
769 | ix=int(xt) |
---|
770 | jy=int(yt) |
---|
771 | endif |
---|
772 | ixp=ix+1 |
---|
773 | jyp=jy+1 |
---|
774 | |
---|
775 | |
---|
776 | ! Memorize the old wind |
---|
777 | !********************** |
---|
778 | |
---|
779 | uold=u |
---|
780 | vold=v |
---|
781 | wold=w |
---|
782 | |
---|
783 | ! Interpolate wind at new position and time |
---|
784 | !****************************************** |
---|
785 | |
---|
786 | if (ngrid.le.0) then |
---|
787 | xts=real(xt) |
---|
788 | yts=real(yt) |
---|
789 | call interpol_wind_short(itime+ldt*ldirect,xts,yts,zt) |
---|
790 | else |
---|
791 | call interpol_wind_short_nests(itime+ldt*ldirect,xtn,ytn,zt) |
---|
792 | endif |
---|
793 | |
---|
794 | if (mdomainfill.eq.0) then |
---|
795 | do nsp=1,nspec |
---|
796 | if (xmass(nrelpoint,nsp).gt.eps2) goto 889 |
---|
797 | end do |
---|
798 | 889 nsp=min(nsp,nspec) |
---|
799 | !!$ if (density(nsp).gt.0.) & |
---|
800 | !!$ call get_settling(itime+ldt,xts,yts,zt,nsp,settling) !old |
---|
801 | if (density(nsp).gt.0.) & |
---|
802 | call get_settling(itime+ldt,real(xt),real(yt),zt,nsp,settling) !bugfix |
---|
803 | w=w+settling |
---|
804 | endif |
---|
805 | |
---|
806 | |
---|
807 | ! Determine the difference vector between new and old wind |
---|
808 | ! (use half of it to correct position according to Petterssen) |
---|
809 | !************************************************************* |
---|
810 | |
---|
811 | u=(u-uold)/2. |
---|
812 | v=(v-vold)/2. |
---|
813 | w=(w-wold)/2. |
---|
814 | |
---|
815 | |
---|
816 | ! Finally, correct the old position |
---|
817 | !********************************** |
---|
818 | |
---|
819 | zt=zt+w*real(ldt*ldirect) |
---|
820 | if (zt.lt.0.) zt=min(h-eps2,-1.*zt) ! if particle below ground -> reflection |
---|
821 | if (ngrid.ge.0) then |
---|
822 | cosfact=dxconst/cos((yt*dy+ylat0)*pi180) |
---|
823 | xt=xt+real(u*cosfact*real(ldt*ldirect),kind=dp) |
---|
824 | yt=yt+real(v*dyconst*real(ldt*ldirect),kind=dp) |
---|
825 | else if (ngrid.eq.-1) then ! around north pole |
---|
826 | xlon=xlon0+xt*dx |
---|
827 | ylat=ylat0+yt*dy |
---|
828 | call cll2xy(northpolemap,ylat,xlon,xpol,ypol) |
---|
829 | gridsize=1000.*cgszll(northpolemap,ylat,xlon) |
---|
830 | u=u/gridsize |
---|
831 | v=v/gridsize |
---|
832 | xpol=xpol+u*real(ldt*ldirect) |
---|
833 | ypol=ypol+v*real(ldt*ldirect) |
---|
834 | call cxy2ll(northpolemap,xpol,ypol,ylat,xlon) |
---|
835 | xt=(xlon-xlon0)/dx |
---|
836 | yt=(ylat-ylat0)/dy |
---|
837 | else if (ngrid.eq.-2) then ! around south pole |
---|
838 | xlon=xlon0+xt*dx |
---|
839 | ylat=ylat0+yt*dy |
---|
840 | call cll2xy(southpolemap,ylat,xlon,xpol,ypol) |
---|
841 | gridsize=1000.*cgszll(southpolemap,ylat,xlon) |
---|
842 | u=u/gridsize |
---|
843 | v=v/gridsize |
---|
844 | xpol=xpol+u*real(ldt*ldirect) |
---|
845 | ypol=ypol+v*real(ldt*ldirect) |
---|
846 | call cxy2ll(southpolemap,xpol,ypol,ylat,xlon) |
---|
847 | xt=(xlon-xlon0)/dx |
---|
848 | yt=(ylat-ylat0)/dy |
---|
849 | endif |
---|
850 | |
---|
851 | ! If global data are available, use cyclic boundary condition |
---|
852 | !************************************************************ |
---|
853 | |
---|
854 | if (xglobal) then |
---|
855 | if (xt.ge.real(nxmin1)) xt=xt-real(nxmin1) |
---|
856 | if (xt.lt.0.) xt=xt+real(nxmin1) |
---|
857 | if (xt.le.eps) xt=eps |
---|
858 | if (abs(xt-real(nxmin1)).le.eps) xt=real(nxmin1)-eps |
---|
859 | endif |
---|
860 | |
---|
861 | ! Check position: If trajectory outside model domain, terminate it |
---|
862 | !***************************************************************** |
---|
863 | |
---|
864 | if ((xt.lt.0.).or.(xt.ge.real(nxmin1)).or.(yt.lt.0.).or. & |
---|
865 | (yt.ge.real(nymin1))) then |
---|
866 | nstop=3 |
---|
867 | return |
---|
868 | endif |
---|
869 | |
---|
870 | ! If particle above highest model level, set it back into the domain |
---|
871 | !******************************************************************* |
---|
872 | |
---|
873 | if (zt.ge.height(nz)) zt=height(nz)-100.*eps |
---|
874 | |
---|
875 | |
---|
876 | end subroutine advance |
---|
877 | |
---|