!*********************************************************************** !* Copyright 2012,2013 * !* Jerome Brioude, Delia Arnold, Andreas Stohl, Wayne Angevine, * !* John Burkhart, Massimo Cassiani, Adam Dingwell, Richard C Easter, Sabine Eckhardt,* !* Stephanie Evan, Jerome D Fast, Don Morton, Ignacio Pisso, * !* Petra Seibert, Gerard Wotawa, Caroline Forster, Harald Sodemann, * !* * !* This file is part of FLEXPART WRF * !* * !* FLEXPART is free software: you can redistribute it and/or modify * !* it under the terms of the GNU General Public License as published by* !* the Free Software Foundation, either version 3 of the License, or * !* (at your option) any later version. * !* * !* FLEXPART is distributed in the hope that it will be useful, * !* but WITHOUT ANY WARRANTY; without even the implied warranty of * !* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * !* GNU General Public License for more details. * !* * !* You should have received a copy of the GNU General Public License * !* along with FLEXPART. If not, see . * !*********************************************************************** subroutine re_initialize_particle(zp,ust,wst,h,sigmaw,wp,nrand,ol) ! i i i i i i/o i/o !zp: particle position !ust: velocity scale !wst: velocity scale !sigmaw: vertical velcotiy standard deviation !wp: particle velocity !nrand: random number counter !=============== CBL skewed vertical profiles and formulation of LHH 1996 with profile of w3 from lHB 2000 ================================================================ !=============== LHH formulation has been modified to account for variable density profiles and backward in time or forward in time simulations = !=============== by Massimo Cassiani ( mc ) , NILU, 2012-2013 = !=============== this routine re-initialize particle velocity if a numerical instability in the cbl scheme met a specific condition = !=============== (see routine cbl.f90 and Cassiani et al. 2013 = !=============== the particle velocity is extracted from the updraft and downdraft distribution as required = !=============== this re-initialization si not perfectly consistent with teh well-mixed condition see Cassiani et al. 2013 for details but the error introduced is small = !=============== but for the rpesent this is faste and simpler and shoudl be ok = !============================================================================================================================================================================ use par_mod, only:pi use com_mod, only:ldirect,rannumb ! use ieee_arithmetic implicit none real :: usurad2,usurad2p,C0,costluar4,eps parameter (usurad2=0.7071067812,usurad2p=0.3989422804,C0=2,costluar4=0.66667,eps=0.000001) integer idum,nrand real :: wp,zp,ust,wst,h,dens,ddens,sigmaw,dsigmawdz,tlw,dcas,dcas1,ran3,gasdev real :: w3,w2,wpold real :: z, & skew, & skew2, & radw2, & fluarw,fluarw2, & rluarw, & xluarw, & aluarw, & bluarw, & sigmawa, & sigmawb, & ath, & bth, & wb,wa real timedir real ol,transition !--------------------------------------------------------------------------- ! print*,'INSIDE INIT',zp,ust,wst,h,sigmaw,wp,nrand ! wpold=wp nrand=nrand+1 dcas1=rannumb(nrand) timedir=ldirect !direction of time forward (1) or backward(-1) z=zp/h transition=1. !comment by mc: in this version added transtion fucntion see Cassiani et al. 2013 if (-h/ol.lt.15) transition=((sin((((-h/ol)+10.)/10.)*pi)))/2.+0.5 ! w2=((1.7*(z*(1.-0.7*z)*(1.-z))**(2./3.))+1.e-2)*(wst**2) w2=sigmaw*sigmaw !this is correct and use hanna routine if commented it is for test reason !w3=(((1.2*z*((1.-z)**(3./2.)))+eps)*wst**3) *1.5 !the 1.5 is to test with increased skeweness see also cbl.f90 w3=(((1.2*z*((1.-z)**(3./2.)))+eps)*wst**3) *transition !note added a transition fucntion, comemnt by mc skew=w3/(w2**1.5) skew2=skew*skew radw2=sigmaw !sqrt(w2) if (skew.ne.0) then ! the limit must be considered explicitly to avoid NaN fluarw=costluar4*skew**0.333333333333333 fluarw2=fluarw*fluarw rluarw=(1.+fluarw2)**3.*skew2/((3.+fluarw2)**2.*fluarw2) !-> r xluarw=rluarw**0.5 !(1.+fluarw2)**1.5*skew/((3.+fluarw2)*fluarw) !----> r^1/2 else fluarw=0. fluarw2=0. rluarw=0. xluarw=0. end if aluarw=0.5*(1.-xluarw/(4.+rluarw)**0.5) bluarw=1.-aluarw sigmawa=radw2*(bluarw/(aluarw*(1.+fluarw2)))**0.5 sigmawb=radw2*(aluarw/(bluarw*(1.+fluarw2)))**0.5 wa=(fluarw*sigmawa) wb=(fluarw*sigmawb) if ((sign(1.,wp)*timedir).gt.0) then !updraft 100 wp=(dcas1*sigmawa+wa) if (wp.lt.0) then nrand=nrand+1 dcas1=rannumb(nrand) goto 100 end if wp=wp*timedir else if ((sign(1.,wp)*timedir).lt.0) then !downdraft 101 wp=(dcas1*sigmawb-wb) if (wp.gt.0) then nrand=nrand+1 dcas1=rannumb(nrand) goto 101 end if wp=wp*timedir end if !if (ieee_is_nan(wp)) print*,'PROBLEM INSIDE',dcas1,nrand,sigmawa,fluarw,sigmawb,wb,aluarw,fluarw,xluarw,zp,ust,wst,h,sigmaw,wpold,nrand return end