| 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_rec(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 | use random_mod, only: ran3 |
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| 106 | |
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| 107 | implicit none |
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| 108 | |
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| 109 | real(kind=dp) :: xt,yt |
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| 110 | real :: zt,xts,yts,weight |
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| 111 | integer :: itime,itimec,nstop,ldt,i,j,k,nrand,loop,memindnext,mind |
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| 112 | integer :: ngr,nix,njy,ks,nsp,nrelpoint |
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| 113 | real :: dz,dz1,dz2,xlon,ylat,xpol,ypol,gridsize |
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| 114 | real :: ru,rv,rw,dt,ux,vy,cosfact,xtn,ytn,tropop |
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| 115 | real :: prob(maxspec),up,vp,wp,dxsave,dysave,dawsave |
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| 116 | real :: dcwsave |
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| 117 | real :: usigold,vsigold,wsigold,r,rs |
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| 118 | real :: uold,vold,wold,vdepo(maxspec) |
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| 119 | !real uprof(nzmax),vprof(nzmax),wprof(nzmax) |
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| 120 | !real usigprof(nzmax),vsigprof(nzmax),wsigprof(nzmax) |
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| 121 | !real rhoprof(nzmax),rhogradprof(nzmax) |
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| 122 | real :: rhoa,rhograd,delz,dtf,rhoaux,dtftlw,uxscale,wpscale |
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| 123 | integer(kind=2) :: icbt |
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| 124 | real,parameter :: eps=nxmax/3.e5,eps2=1.e-9 |
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| 125 | real :: ptot_lhh,Q_lhh,phi_lhh,ath,bth !modified by mc |
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| 126 | real :: old_wp_buf,dcas,dcas1,del_test !added by mc |
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| 127 | integer :: i_well,jj,flagrein !test well mixed: modified by mc |
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| 128 | |
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| 129 | |
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| 130 | integer :: idummy = -7 |
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| 131 | real :: settling = 0. |
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| 132 | |
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| 133 | |
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| 134 | nstop=0 |
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| 135 | do i=1,nmixz |
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| 136 | indzindicator(i)=.true. |
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| 137 | end do |
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| 138 | |
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| 139 | |
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| 140 | if (DRYDEP) then ! reset probability for deposition |
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| 141 | do ks=1,nspec |
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| 142 | depoindicator(ks)=.true. |
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| 143 | prob(ks)=0. |
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| 144 | end do |
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| 145 | endif |
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| 146 | |
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| 147 | dxsave=0. ! reset position displacements |
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| 148 | dysave=0. ! due to mean wind |
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| 149 | dawsave=0. ! and turbulent wind |
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| 150 | dcwsave=0. |
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| 151 | |
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| 152 | itimec=itime |
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| 153 | |
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| 154 | nrand=int(ran3(idummy)*real(maxrand-1))+1 |
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| 155 | |
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| 156 | |
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| 157 | ! Determine whether lat/long grid or polarstereographic projection |
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| 158 | ! is to be used |
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| 159 | ! Furthermore, determine which nesting level to be used |
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| 160 | !***************************************************************** |
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| 161 | |
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| 162 | if (nglobal.and.(yt.gt.switchnorthg)) then |
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| 163 | ngrid=-1 |
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| 164 | else if (sglobal.and.(yt.lt.switchsouthg)) then |
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| 165 | ngrid=-2 |
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| 166 | else |
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| 167 | ngrid=0 |
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| 168 | do j=numbnests,1,-1 |
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| 169 | if ((xt.gt.xln(j)+eps).and.(xt.lt.xrn(j)-eps).and. & |
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| 170 | (yt.gt.yln(j)+eps).and.(yt.lt.yrn(j)-eps)) then |
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| 171 | ngrid=j |
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| 172 | goto 23 |
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| 173 | endif |
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| 174 | end do |
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| 175 | 23 continue |
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| 176 | endif |
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| 177 | |
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| 178 | |
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| 179 | !*************************** |
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| 180 | ! Interpolate necessary data |
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| 181 | !*************************** |
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| 182 | |
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| 183 | if (abs(itime-memtime(1)).lt.abs(itime-memtime(2))) then |
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| 184 | memindnext=1 |
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| 185 | else |
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| 186 | memindnext=2 |
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| 187 | endif |
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| 188 | |
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| 189 | ! Determine nested grid coordinates |
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| 190 | !********************************** |
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| 191 | |
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| 192 | if (ngrid.gt.0) then |
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| 193 | xtn=(xt-xln(ngrid))*xresoln(ngrid) |
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| 194 | ytn=(yt-yln(ngrid))*yresoln(ngrid) |
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| 195 | ix=int(xtn) |
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| 196 | jy=int(ytn) |
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| 197 | nix=nint(xtn) |
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| 198 | njy=nint(ytn) |
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| 199 | else |
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| 200 | ix=int(xt) |
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| 201 | jy=int(yt) |
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| 202 | nix=nint(xt) |
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| 203 | njy=nint(yt) |
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| 204 | endif |
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| 205 | ixp=ix+1 |
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| 206 | jyp=jy+1 |
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| 207 | |
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| 208 | |
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| 209 | ! Compute maximum mixing height around particle position |
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| 210 | !******************************************************* |
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| 211 | |
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| 212 | h=0. |
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| 213 | if (ngrid.le.0) then |
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| 214 | do k=1,2 |
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| 215 | mind=memind(k) ! eso: compatibility with 3-field version |
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| 216 | do j=jy,jyp |
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| 217 | do i=ix,ixp |
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| 218 | if (hmix(i,j,1,mind).gt.h) h=hmix(i,j,1,mind) |
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| 219 | end do |
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| 220 | end do |
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| 221 | end do |
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| 222 | tropop=tropopause(nix,njy,1,1) |
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| 223 | else |
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| 224 | do k=1,2 |
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| 225 | mind=memind(k) |
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| 226 | do j=jy,jyp |
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| 227 | do i=ix,ixp |
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| 228 | if (hmixn(i,j,1,mind,ngrid).gt.h) h=hmixn(i,j,1,mind,ngrid) |
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| 229 | end do |
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| 230 | end do |
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| 231 | end do |
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| 232 | tropop=tropopausen(nix,njy,1,1,ngrid) |
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| 233 | endif |
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| 234 | |
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| 235 | zeta=zt/h |
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| 236 | |
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| 237 | |
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| 238 | |
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| 239 | !************************************************************* |
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| 240 | ! If particle is in the PBL, interpolate once and then make a |
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| 241 | ! time loop until end of interval is reached |
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| 242 | !************************************************************* |
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| 243 | |
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| 244 | if (zeta.le.1.) then |
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| 245 | |
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| 246 | ! BEGIN TIME LOOP |
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| 247 | !================ |
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| 248 | |
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| 249 | loop=0 |
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| 250 | 100 loop=loop+1 |
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| 251 | if (method.eq.1) then |
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| 252 | ldt=min(ldt,abs(lsynctime-itimec+itime)) |
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| 253 | itimec=itimec+ldt*ldirect |
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| 254 | else |
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| 255 | ldt=abs(lsynctime) |
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| 256 | itimec=itime+lsynctime |
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| 257 | endif |
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| 258 | dt=real(ldt) |
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| 259 | |
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| 260 | zeta=zt/h |
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| 261 | |
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| 262 | |
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| 263 | if (loop.eq.1) then |
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| 264 | if (ngrid.le.0) then |
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| 265 | xts=real(xt) |
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| 266 | yts=real(yt) |
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| 267 | call interpol_all(itime,xts,yts,zt) |
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| 268 | else |
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| 269 | call interpol_all_nests(itime,xtn,ytn,zt) |
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| 270 | endif |
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| 271 | |
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| 272 | else |
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| 273 | |
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| 274 | |
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| 275 | ! Determine the level below the current position for u,v,rho |
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| 276 | !*********************************************************** |
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| 277 | |
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| 278 | do i=2,nz |
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| 279 | if (height(i).gt.zt) then |
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| 280 | indz=i-1 |
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| 281 | indzp=i |
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| 282 | goto 6 |
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| 283 | endif |
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| 284 | end do |
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| 285 | 6 continue |
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| 286 | |
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| 287 | ! If one of the levels necessary is not yet available, |
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| 288 | ! calculate it |
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| 289 | !***************************************************** |
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| 290 | |
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| 291 | do i=indz,indzp |
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| 292 | if (indzindicator(i)) then |
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| 293 | if (ngrid.le.0) then |
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| 294 | call interpol_misslev(i) |
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| 295 | else |
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| 296 | call interpol_misslev_nests(i) |
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| 297 | endif |
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| 298 | endif |
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| 299 | end do |
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| 300 | endif |
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| 301 | |
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| 302 | |
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| 303 | ! Vertical interpolation of u,v,w,rho and drhodz |
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| 304 | !*********************************************** |
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| 305 | |
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| 306 | ! Vertical distance to the level below and above current position |
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| 307 | ! both in terms of (u,v) and (w) fields |
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| 308 | !**************************************************************** |
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| 309 | |
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| 310 | dz=1./(height(indzp)-height(indz)) |
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| 311 | dz1=(zt-height(indz))*dz |
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| 312 | dz2=(height(indzp)-zt)*dz |
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| 313 | |
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| 314 | u=dz1*uprof(indzp)+dz2*uprof(indz) |
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| 315 | v=dz1*vprof(indzp)+dz2*vprof(indz) |
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| 316 | w=dz1*wprof(indzp)+dz2*wprof(indz) |
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| 317 | rhoa=dz1*rhoprof(indzp)+dz2*rhoprof(indz) |
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| 318 | rhograd=dz1*rhogradprof(indzp)+dz2*rhogradprof(indz) |
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| 319 | |
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| 320 | |
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| 321 | ! Compute the turbulent disturbances |
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| 322 | ! Determine the sigmas and the timescales |
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| 323 | !**************************************** |
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| 324 | |
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| 325 | if (turbswitch) then |
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| 326 | call hanna(zt) |
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| 327 | else |
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| 328 | call hanna1(zt) |
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| 329 | endif |
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| 330 | |
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| 331 | |
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| 332 | !***************************************** |
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| 333 | ! Determine the new diffusivity velocities |
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| 334 | !***************************************** |
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| 335 | |
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| 336 | ! Horizontal components |
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| 337 | !********************** |
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| 338 | |
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| 339 | if (nrand+1.gt.maxrand) nrand=1 |
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| 340 | if (dt/tlu.lt..5) then |
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| 341 | up=(1.-dt/tlu)*up+rannumb(nrand)*sigu*sqrt(2.*dt/tlu) |
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| 342 | else |
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| 343 | ru=exp(-dt/tlu) |
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| 344 | up=ru*up+rannumb(nrand)*sigu*sqrt(1.-ru**2) |
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| 345 | endif |
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| 346 | if (dt/tlv.lt..5) then |
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| 347 | vp=(1.-dt/tlv)*vp+rannumb(nrand+1)*sigv*sqrt(2.*dt/tlv) |
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| 348 | else |
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| 349 | rv=exp(-dt/tlv) |
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| 350 | vp=rv*vp+rannumb(nrand+1)*sigv*sqrt(1.-rv**2) |
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| 351 | endif |
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| 352 | nrand=nrand+2 |
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| 353 | |
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| 354 | |
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| 355 | if (nrand+ifine.gt.maxrand) nrand=1 |
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| 356 | rhoaux=rhograd/rhoa |
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| 357 | dtf=dt*fine |
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| 358 | |
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| 359 | dtftlw=dtf/tlw |
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| 360 | |
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| 361 | ! Loop over ifine short time steps for vertical component |
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| 362 | !******************************************************** |
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| 363 | |
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| 364 | do i=1,ifine |
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| 365 | |
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| 366 | ! Determine the drift velocity and density correction velocity |
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| 367 | !************************************************************* |
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| 368 | |
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| 369 | if (turbswitch) then |
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| 370 | if (dtftlw.lt..5) then |
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| 371 | !************************************************************* |
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| 372 | !************** CBL options added by mc see routine cblf90 *** |
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| 373 | if (cblflag.eq.1) then !modified by mc |
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| 374 | if (-h/ol.gt.5) then !modified by mc |
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| 375 | !if (ol.lt.0.) then !modified by mc |
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| 376 | !if (ol.gt.0.) then !modified by mc : for test |
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| 377 | !print *,zt,wp,ath,bth,tlw,dtf,'prima' |
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| 378 | flagrein=0 |
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| 379 | nrand=nrand+1 |
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| 380 | old_wp_buf=wp |
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| 381 | call cbl(wp,zt,ust,wst,h,rhoa,rhograd,sigw,dsigwdz,tlw,ptot_lhh,Q_lhh,phi_lhh,ath,bth,ol,flagrein) !inside the routine for inverse time |
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| 382 | wp=(wp+ath*dtf+bth*rannumb(nrand)*sqrt(dtf))*real(icbt) |
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| 383 | ! wp=(wp+ath*dtf+bth*gasdev2(mydum)*sqrt(dtf))*real(icbt) |
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| 384 | delz=wp*dtf |
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| 385 | if (flagrein.eq.1) then |
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| 386 | call re_initialize_particle(zt,ust,wst,h,sigw,old_wp_buf,nrand,ol) |
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| 387 | wp=old_wp_buf |
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| 388 | delz=wp*dtf |
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| 389 | nan_count=nan_count+1 |
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| 390 | end if |
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| 391 | !print *,zt,wp,ath,bth,tlw,dtf,rannumb(nrand+i),icbt |
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| 392 | !pause |
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| 393 | else |
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| 394 | nrand=nrand+1 |
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| 395 | old_wp_buf=wp |
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| 396 | ath=-wp/tlw+sigw*dsigwdz+wp*wp/sigw*dsigwdz+sigw*sigw/rhoa*rhograd !1-note for inverse time should be -wp/tlw*ldirect+... calculated for wp=-wp |
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| 397 | !2-but since ldirect =-1 for inverse time and this must be calculated for (-wp) and |
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| 398 | !3-the gaussian pdf is symmetric (i.e. pdf(w)=pdf(-w) ldirect can be discarded |
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| 399 | bth=sigw*rannumb(nrand)*sqrt(2.*dtftlw) |
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| 400 | wp=(wp+ath*dtf+bth)*real(icbt) |
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| 401 | delz=wp*dtf |
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| 402 | del_test=(1.-wp)/wp !catch infinity value |
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| 403 | if (isnan(wp).or.isnan(del_test)) then |
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| 404 | nrand=nrand+1 |
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| 405 | wp=sigw*rannumb(nrand) |
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| 406 | delz=wp*dtf |
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| 407 | nan_count2=nan_count2+1 |
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| 408 | !print *,'NaN coutner equal to:', nan_count,'reduce ifine if this number became a non-negligible fraction of the particle number' |
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| 409 | end if |
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| 410 | end if |
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| 411 | !******************** END CBL option ******************************* |
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| 412 | !******************************************************************* |
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| 413 | else |
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| 414 | wp=((1.-dtftlw)*wp+rannumb(nrand+i)*sqrt(2.*dtftlw) & |
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| 415 | +dtf*(dsigwdz+rhoaux*sigw))*real(icbt) |
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| 416 | delz=wp*sigw*dtf |
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| 417 | end if |
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| 418 | else |
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| 419 | rw=exp(-dtftlw) |
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| 420 | wp=(rw*wp+rannumb(nrand+i)*sqrt(1.-rw**2) & |
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| 421 | +tlw*(1.-rw)*(dsigwdz+rhoaux*sigw))*real(icbt) |
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| 422 | delz=wp*sigw*dtf |
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| 423 | endif |
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| 424 | |
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| 425 | else |
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| 426 | rw=exp(-dtftlw) |
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| 427 | wp=(rw*wp+rannumb(nrand+i)*sqrt(1.-rw**2)*sigw & |
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| 428 | +tlw*(1.-rw)*(dsigw2dz+rhoaux*sigw**2))*real(icbt) |
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| 429 | delz=wp*dtf |
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| 430 | endif |
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| 431 | |
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| 432 | !**************************************************** |
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| 433 | ! Compute turbulent vertical displacement of particle |
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| 434 | !**************************************************** |
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| 435 | |
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| 436 | if (abs(delz).gt.h) delz=mod(delz,h) |
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| 437 | |
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| 438 | ! Determine if particle transfers to a "forbidden state" below the ground |
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| 439 | ! or above the mixing height |
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| 440 | !************************************************************************ |
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| 441 | |
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| 442 | if (delz.lt.-zt) then ! reflection at ground |
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| 443 | icbt=-1 |
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| 444 | zt=-zt-delz |
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| 445 | else if (delz.gt.(h-zt)) then ! reflection at h |
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| 446 | icbt=-1 |
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| 447 | zt=-zt-delz+2.*h |
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| 448 | else ! no reflection |
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| 449 | icbt=1 |
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| 450 | zt=zt+delz |
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| 451 | endif |
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| 452 | |
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| 453 | if (i.ne.ifine) then |
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| 454 | zeta=zt/h |
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| 455 | call hanna_short(zt) |
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| 456 | endif |
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| 457 | |
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| 458 | end do |
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| 459 | if (cblflag.ne.1) nrand=nrand+i |
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| 460 | |
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| 461 | ! Determine time step for next integration |
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| 462 | !***************************************** |
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| 463 | |
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| 464 | if (turbswitch) then |
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| 465 | ldt=int(min(tlw,h/max(2.*abs(wp*sigw),1.e-5), & |
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| 466 | 0.5/abs(dsigwdz))*ctl) |
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| 467 | else |
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| 468 | ldt=int(min(tlw,h/max(2.*abs(wp),1.e-5))*ctl) |
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| 469 | endif |
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| 470 | ldt=max(ldt,mintime) |
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| 471 | |
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| 472 | ! Determine probability of deposition |
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| 473 | !************************************ |
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| 474 | |
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| 475 | if ((DRYDEP).and.(zt.lt.2.*href)) then |
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| 476 | do ks=1,nspec |
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| 477 | if (DRYDEPSPEC(ks)) then |
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| 478 | if (depoindicator(ks)) then |
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| 479 | if (ngrid.le.0) then |
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| 480 | call interpol_vdep(ks,vdepo(ks)) |
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| 481 | else |
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| 482 | call interpol_vdep_nests(ks,vdepo(ks)) |
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| 483 | endif |
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| 484 | endif |
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| 485 | ! correction by Petra Seibert, 10 April 2001 |
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| 486 | ! this formulation means that prob(n) = 1 - f(0)*...*f(n) |
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| 487 | ! where f(n) is the exponential term |
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| 488 | prob(ks)=1.+(prob(ks)-1.)* & |
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| 489 | exp(-vdepo(ks)*abs(dt)/(2.*href)) |
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| 490 | endif |
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| 491 | end do |
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| 492 | endif |
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| 493 | |
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| 494 | endif |
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| 495 | |
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| 496 | end subroutine advance_rec |
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| 497 | |
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