File: partdep.f90

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!**********************************************************************
! 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 <http://www.gnu.org/licenses/>.   *
!**********************************************************************

subroutine partdep(nc,density,fract,schmi,vset,ra,ustar,nyl,vdep)
  !                   i     i      i     i    i   i    i    i  i/o
  !*****************************************************************************
  !                                                                            *
  !      Calculation of the dry deposition velocities of particles.            *
  !      This routine is based on Stokes' law for considering settling and     *
  !      assumes constant dynamic viscosity of the air.                        *
  !                                                                            *
  !     AUTHOR: Andreas Stohl, 12 November 1993                                *
  !                            Update: 20 December 1996                        *
  !                                                                            *
  !     Literature:                                                            *
  !     [1]  Hicks/Baldocchi/Meyers/Hosker/Matt (1987), A Preliminary          *
  !             Multiple Resistance Routine for Deriving Dry Deposition        *
  !             Velocities from Measured Quantities.                           *
  !             Water, Air and Soil Pollution 36 (1987), pp.311-330.           *
  !     [2]  Slinn (1982), Predictions for Particle Deposition to              *
  !             Vegetative Canopies. Atm.Env.16-7 (1982), pp.1785-1794.        *
  !     [3]  Slinn/Slinn (1980),  Predictions for Particle Deposition on       *
  !             Natural Waters. Atm.Env.14 (1980), pp.1013-1016.               *
  !     [4]  Scire/Yamartino/Carmichael/Chang (1989),                          *
  !             CALGRID: A Mesoscale Photochemical Grid Model.                 *
  !             Vol II: User's Guide. (Report No.A049-1, June, 1989)           *
  !     [5]  Langer M. (1992): Ein einfaches Modell zur Abschaetzung der       *
  !             Depositionsgeschwindigkeit von Teilchen und Gasen.             *
  !             Internal report.                                               *
  !                                                                            *
  !*****************************************************************************
  !                                                                            *
  ! Variables:                                                                 *
  ! alpha                help variable                                         *
  ! fract(nc,ni)         mass fraction of each diameter interval               *
  ! lpdep(nc)            1 for particle deposition, 0 else                     *
  ! nc                   actual number of chemical components                  *
  ! ni                   number of diameter intervals, for which vdepj is calc.*
  ! rdp [s/m]            deposition layer resistance                           *
  ! ra [s/m]             aerodynamical resistance                              *
  ! schmi(nc,ni)         Schmidt number**2/3 of each diameter interval         *
  ! stokes               Stokes number                                         *
  ! ustar [m/s]          friction velocity                                     *
  ! vdep(nc) [m/s]       deposition velocities of all components               *
  ! vdepj [m/s]          help, deposition velocity of 1 interval               *
  ! vset(nc,ni)          gravitational settling velocity of each interval      *
  !                                                                            *
  ! Constants:                                                                 *
  ! nc                   number of chemical species                            *
  ! ni                   number of diameter intervals, for which deposition    *
  !                      is calculated                                         *
  !                                                                            *
  !*****************************************************************************

  use par_mod

  implicit none

  real :: density(maxspec),schmi(maxspec,ni),fract(maxspec,ni)
  real :: vset(maxspec,ni)
  real :: vdep(maxspec),stokes,vdepj,rdp,ustar,alpha,ra,nyl
  real,parameter :: eps=1.e-5
  integer :: ic,j,nc


  do ic=1,nc                  ! loop over all species
    if (density(ic).gt.0.) then
      do j=1,ni              ! loop over all diameter intervals
        if (ustar.gt.eps) then

  ! Stokes number for each diameter interval
  !*****************************************

          stokes=vset(ic,j)/ga*ustar*ustar/nyl
          alpha=-3./stokes

  ! Deposition layer resistance
  !****************************

          if (alpha.le.log10(eps)) then
            rdp=1./(schmi(ic,j)*ustar)
          else
           	rdp=1./((schmi(ic,j)+10.**alpha)*ustar)
          endif
          vdepj=vset(ic,j)+1./(ra+rdp+ra*rdp*vset(ic,j))
        else
          vdepj=vset(ic,j)
        endif

  ! deposition velocities of each interval are weighted with mass fraction
  !***********************************************************************

        vdep(ic)=vdep(ic)+vdepj*fract(ic,j)
      end do
    endif
  end do

end subroutine partdep