redist.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 redist (ipart,ktop,ipconv)

  !**************************************************************************
  ! Do the redistribution of particles due to convection
  ! This subroutine is called for each particle which is assigned
  ! a new vertical position randomly, based on the convective redistribution
  ! matrix
  !**************************************************************************

  ! Petra Seibert, Feb 2001, Apr 2001, May 2001, Jan 2002, Nov 2002 and
  ! Andreas Frank, Nov 2002

  ! Caroline Forster:  November 2004 - February 2005

  use par_mod
  use com_mod
  use conv_mod

  implicit none

  real,parameter :: const=r_air/ga
  integer :: ipart, ktop,ipconv
  integer :: k, kz, levnew, levold
  real,save :: uvzlev(nuvzmax)
  real :: wsub(nuvzmax)
  real :: totlevmass, wsubpart
  real :: temp_levold,temp_levold1
  real :: sub_levold,sub_levold1
  real :: pint, pold, rn, tv, tvold, dlevfrac
  real :: ew,ran3, ztold,ffraction
  real :: tv1, tv2, dlogp, dz, dz1, dz2
  integer :: iseed = -88

  ! ipart   ... number of particle to be treated

  ipconv=1

  ! determine height of the eta half-levels (uvzlev)
  ! do that only once for each grid column
  ! i.e. when ktop.eq.1
  !**************************************************************

  if (ktop .le. 1) then

    tvold=tt2conv*(1.+0.378*ew(td2conv)/psconv)
    pold=psconv
    uvzlev(1)=0.

    pint = phconv(2)
  !  determine next virtual temperatures
    tv1 = tconv(1)*(1.+0.608*qconv(1))
    tv2 = tconv(2)*(1.+0.608*qconv(2))
  !  interpolate virtual temperature to half-level
    tv = tv1 + (tv2-tv1)*(pconv(1)-phconv(2))/(pconv(1)-pconv(2))
    if (abs(tv-tvold).gt.0.2) then
      uvzlev(2) = uvzlev(1) + &
           const*log(pold/pint)* &
           (tv-tvold)/log(tv/tvold)
    else
      uvzlev(2) = uvzlev(1)+ &
           const*log(pold/pint)*tv
    endif
    tvold=tv
    tv1=tv2
    pold=pint

  ! integrate profile (calculation of height agl of eta layers) as required
    do kz = 3, nconvtop+1
  !    note that variables defined in calcmatrix.f (pconv,tconv,qconv)
  !    start at the first real ECMWF model level whereas kz and
  !    thus uvzlev(kz) starts at the surface. uvzlev is defined at the
  !    half-levels (between the tconv, qconv etc. values !)
  !    Thus, uvzlev(kz) is the lower boundary of the tconv(kz) cell.
      pint = phconv(kz)
  !    determine next virtual temperatures
      tv2 = tconv(kz)*(1.+0.608*qconv(kz))
  !    interpolate virtual temperature to half-level
      tv = tv1 + (tv2-tv1)*(pconv(kz-1)-phconv(kz))/ &
           (pconv(kz-1)-pconv(kz))
      if (abs(tv-tvold).gt.0.2) then
        uvzlev(kz) = uvzlev(kz-1) + &
             const*log(pold/pint)* &
             (tv-tvold)/log(tv/tvold)
      else
        uvzlev(kz) = uvzlev(kz-1)+ &
             const*log(pold/pint)*tv
      endif
      tvold=tv
      tv1=tv2
      pold=pint

    end do

    ktop = 2

  endif ! (if ktop .le. 1) then

  !  determine vertical grid position of particle in the eta system
  !****************************************************************

  ztold = ztra1(abs(ipart))
  ! find old particle grid position
  do kz = 2, nconvtop
    if (uvzlev(kz) .ge. ztold ) then
      levold = kz-1
      goto 30
    endif
  end do

  ! Particle is above the potentially convective domain. Skip it.
  goto 90

30   continue

  ! now redistribute particles
  !****************************

  !  Choose a random number and find corresponding level of destination
  !  Random numbers to be evenly distributed in [0,1]

  rn = ran3(iseed)

  ! initialize levnew

  levnew = levold

  ffraction = 0.
  totlevmass=dpr(levold)/ga
  do k = 1,nconvtop
  ! for backward runs use the transposed matrix
   if (ldirect.eq.1) then
     ffraction=ffraction+fmassfrac(levold,k) &
          /totlevmass
   else
     ffraction=ffraction+fmassfrac(k,levold) &
          /totlevmass
   endif
   if (rn.le.ffraction) then
     levnew=k
  ! avoid division by zero or a too small number
  ! if division by zero or a too small number happens the
  ! particle is assigned to the center of the grid cell
     if (ffraction.gt.1.e-20) then
      if (ldirect.eq.1) then
        dlevfrac = (ffraction-rn) / fmassfrac(levold,k) * totlevmass
      else
        dlevfrac = (ffraction-rn) / fmassfrac(k,levold) * totlevmass
      endif
     else
       dlevfrac = 0.5
     endif
     goto 40
   endif
  end do

40   continue

  ! now assign new position to particle

  if (levnew.le.nconvtop) then
   if (levnew.eq.levold) then
      ztra1(abs(ipart)) = ztold
   else
    dlogp = (1.-dlevfrac)* &
         (log(phconv(levnew+1))-log(phconv(levnew)))
    pint = log(phconv(levnew))+dlogp
    dz1 = pint - log(phconv(levnew))
    dz2 = log(phconv(levnew+1)) - pint
    dz = dz1 + dz2
    ztra1(abs(ipart)) = (uvzlev(levnew)*dz2+uvzlev(levnew+1)*dz1)/dz
     if (ztra1(abs(ipart)).lt.0.) &
          ztra1(abs(ipart))=-1.*ztra1(abs(ipart))
     if (ipconv.gt.0) ipconv=-1
   endif
  endif

  ! displace particle according to compensating subsidence
  ! this is done to those particles, that were not redistributed
  ! by the matrix
  !**************************************************************

  if (levnew.le.nconvtop.and.levnew.eq.levold) then

  ztold = ztra1(abs(ipart))

  ! determine compensating vertical velocity at the levels
  ! above and below the particel position
  ! increase compensating subsidence by the fraction that
  ! is displaced by convection to this level

    if (levold.gt.1) then
     temp_levold = tconv(levold-1) + &
          (tconv(levold)-tconv(levold-1)) &
          *(pconv(levold-1)-phconv(levold))/ &
          (pconv(levold-1)-pconv(levold))
     sub_levold = sub(levold)/(1.-sub(levold)/dpr(levold)*ga)
     wsub(levold)=-1.*sub_levold*r_air*temp_levold/(phconv(levold))
    else
     wsub(levold)=0.
    endif

     temp_levold1 = tconv(levold) + &
          (tconv(levold+1)-tconv(levold)) &
          *(pconv(levold)-phconv(levold+1))/ &
          (pconv(levold)-pconv(levold+1))
     sub_levold1 = sub(levold+1)/(1.-sub(levold+1)/dpr(levold+1)*ga)
     wsub(levold+1)=-1.*sub_levold1*r_air*temp_levold1/ &
          (phconv(levold+1))

  ! interpolate wsub to the vertical particle position

  dz1 = ztold - uvzlev(levold)
  dz2 = uvzlev(levold+1) - ztold
  dz = dz1 + dz2

  wsubpart = (dz2*wsub(levold)+dz1*wsub(levold+1))/dz
  ztra1(abs(ipart)) = ztold+wsubpart*real(lsynctime)
  if (ztra1(abs(ipart)).lt.0.) then
     ztra1(abs(ipart))=-1.*ztra1(abs(ipart))
  endif

  endif      !(levnew.le.nconvtop.and.levnew.eq.levold)

  ! Maximum altitude .5 meter below uppermost model level
  !*******************************************************

 90   continue

  if (ztra1(abs(ipart)) .gt. height(nz)-0.5) &
       ztra1(abs(ipart)) = height(nz)-0.5

end subroutine redist