obukhov_gfs.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/>.   *
!**********************************************************************

real function obukhov_gfs(ps,tsurf,tdsurf,tlev,ustar,hf,plev)

  !********************************************************************
  !                                                                   *
  !                       Author: G. WOTAWA                           *
  !                       Date:   1994-06-27                          *
  !                                                                   *
  !  Update: A. Stohl, 2000-09-25, avoid division by zero by          *
  !  setting ustar to minimum value                                   *
  !                                                                   *
  !  CHANGE: 17/11/2005 Caroline Forster NCEP GFS version             *
  !                                                                   *
  !********************************************************************
  !                                                                   *
  !     This program calculates Obukhov scale height from surface     *
  !     meteorological data and sensible heat flux.                   *
  !                                                                   *
  !********************************************************************
  !                                                                   *
  !     INPUT:                                                        *
  !                                                                   *
  !     ps      surface pressure [Pa]                                 *
  !     tsurf   surface temperature [K]                               *
  !     tdsurf  surface dew point [K]                                 *
  !     tlev    temperature first model level [K]                     *
  !     ustar   scale velocity [m/s]                                  *
  !     hf      surface sensible heat flux [W/m2]                     *
  !     akm     ECMWF vertical discretization parameter               *
  !     bkm     ECMWF vertical discretization parameter               *
  !                                                                   *
  !********************************************************************

  use par_mod

  implicit none

  real :: ps,tsurf,tdsurf,tlev,ustar,hf,e,ew,tv,rhoa,plev
  real :: theta,thetastar


  e=ew(tdsurf)                           ! vapor pressure
  tv=tsurf*(1.+0.378*e/ps)               ! virtual temperature
  rhoa=ps/(r_air*tv)                      ! air density
  theta=tlev*(100000./plev)**(r_air/cpa) ! potential temperature
  if (ustar.le.0.) ustar=1.e-8
  thetastar=hf/(rhoa*cpa*ustar)           ! scale temperature
  if(abs(thetastar).gt.1.e-10) then
     obukhov_gfs=theta*ustar**2/(karman*ga*thetastar)
  else
     obukhov_gfs=9999                        ! zero heat flux
  endif
  if (obukhov_gfs.gt. 9999.) obukhov_gfs= 9999.
  if (obukhov_gfs.lt.-9999.) obukhov_gfs=-9999.

end function obukhov_gfs