!********************************************************************** ! Copyright 1998,1999,2000,2001,2002,2005,2007,2008,2009,2010 * ! Andreas Stohl, Petra Seibert, A. Frank, Gerhard Wotawa, * ! Caroline Forster, Sabine Eckhardt, John Burkhart, Harald Sodemann * ! * ! This file is part of FLEXPART. * ! * ! 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 initialize_cbl_vel(idum,zp,ust,wst,h,sigmaw,wp, ol) ! i/o i i i i i o i use par_mod, only:pi use com_mod, only:ldirect use random_mod, only: gasdev, ran3 implicit none !=============================================================================== ! 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 ! see Cassiani et al. BLM 2014 doi for explanations and references !=============================================================================== real :: usurad2,usurad2p,C0,costluar4,eps parameter (usurad2=0.7071067812,usurad2p=0.3989422804,C0=2,costluar4=0.66667,eps=0.000001) integer idum real :: wp,zp,ust,wst,h,dens,ddens,sigmaw,dsigmawdz,tlw,dcas,dcas1!,ran3,gasdev real :: w3,w2 real :: z, & skew, & skew2, & radw2, & fluarw,fluarw2, & rluarw, & xluarw, & aluarw, & bluarw, & sigmawa, & sigmawb, & ath, & bth, & wb,wa real timedir real ol, transition !--------------------------------------------------------------------------- timedir=ldirect !direction of time forward (1) or backward(-1) z=zp/h transition=1. if (-h/ol.lt.15) transition=((sin((((-h/ol)+10.)/10.)*pi)))/2.+0.5 !see also in cbl.f90 w2=sigmaw*sigmaw w3=(((1.2*z*((1.-z)**(3./2.)))+eps)*wst**3) *transition skew=w3/(w2**1.5) skew2=skew*skew radw2=sqrt(w2) !sigmaw fluarw=costluar4*skew**0.333333333333333 fluarw2=fluarw*fluarw rluarw=(1.+fluarw2)**3.*skew2/((3.+fluarw2)**2.*fluarw2) !-> r xluarw=rluarw**0.5 !----> r^1/2 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) dcas=ran3(idum) if (dcas.le.aluarw) then dcas1=gasdev(idum) wp=timedir*(dcas1*sigmawa+wa) else dcas1=gasdev(idum) wp=timedir*(dcas1*sigmawb-wb) end if return end subroutine initialize_cbl_vel