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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 interpol_misslev(n)
! i
!*****************************************************************************
! *
! This subroutine interpolates u,v,w, density and density gradients. *
! *
! Author: A. Stohl *
! *
! 16 December 1997 *
! Update: 2 March 1999 *
! *
! Revision March 2005 by AST : all output variables in common block cal- *
! culation of standard deviation done in this *
! routine rather than subroutine call in order *
! to save computation time *
! *
!*****************************************************************************
! *
! Variables: *
! n level *
! *
! Constants: *
! *
!*****************************************************************************
use par_mod
use com_mod
use interpol_mod
use hanna_mod
implicit none
! Auxiliary variables needed for interpolation
real :: y1(2),y2(2),y3(2),rho1(2),rhograd1(2)
real :: usl,vsl,wsl,usq,vsq,wsq,xaux
integer :: m,n,indexh
real,parameter :: eps=1.0e-30
!********************************************
! Multilinear interpolation in time and space
!********************************************
!**************************************
! 1.) Bilinear horizontal interpolation
! 2.) Temporal interpolation (linear)
!**************************************
! Loop over 2 time steps
!***********************
usl=0.
vsl=0.
wsl=0.
usq=0.
vsq=0.
wsq=0.
do m=1,2
indexh=memind(m)
if (ngrid.lt.0) then
y1(m)=p1*uupol(ix ,jy ,n,indexh) &
+p2*uupol(ixp,jy ,n,indexh) &
+p3*uupol(ix ,jyp,n,indexh) &
+p4*uupol(ixp,jyp,n,indexh)
y2(m)=p1*vvpol(ix ,jy ,n,indexh) &
+p2*vvpol(ixp,jy ,n,indexh) &
+p3*vvpol(ix ,jyp,n,indexh) &
+p4*vvpol(ixp,jyp,n,indexh)
usl=usl+uupol(ix ,jy ,n,indexh)+uupol(ixp,jy ,n,indexh) &
+uupol(ix ,jyp,n,indexh)+uupol(ixp,jyp,n,indexh)
vsl=vsl+vvpol(ix ,jy ,n,indexh)+vvpol(ixp,jy ,n,indexh) &
+vvpol(ix ,jyp,n,indexh)+vvpol(ixp,jyp,n,indexh)
usq=usq+uupol(ix ,jy ,n,indexh)*uupol(ix ,jy ,n,indexh)+ &
uupol(ixp,jy ,n,indexh)*uupol(ixp,jy ,n,indexh)+ &
uupol(ix ,jyp,n,indexh)*uupol(ix ,jyp,n,indexh)+ &
uupol(ixp,jyp,n,indexh)*uupol(ixp,jyp,n,indexh)
vsq=vsq+vvpol(ix ,jy ,n,indexh)*vvpol(ix ,jy ,n,indexh)+ &
vvpol(ixp,jy ,n,indexh)*vvpol(ixp,jy ,n,indexh)+ &
vvpol(ix ,jyp,n,indexh)*vvpol(ix ,jyp,n,indexh)+ &
vvpol(ixp,jyp,n,indexh)*vvpol(ixp,jyp,n,indexh)
else
y1(m)=p1*uu(ix ,jy ,n,indexh) &
+p2*uu(ixp,jy ,n,indexh) &
+p3*uu(ix ,jyp,n,indexh) &
+p4*uu(ixp,jyp,n,indexh)
y2(m)=p1*vv(ix ,jy ,n,indexh) &
+p2*vv(ixp,jy ,n,indexh) &
+p3*vv(ix ,jyp,n,indexh) &
+p4*vv(ixp,jyp,n,indexh)
usl=usl+uu(ix ,jy ,n,indexh)+uu(ixp,jy ,n,indexh) &
+uu(ix ,jyp,n,indexh)+uu(ixp,jyp,n,indexh)
vsl=vsl+vv(ix ,jy ,n,indexh)+vv(ixp,jy ,n,indexh) &
+vv(ix ,jyp,n,indexh)+vv(ixp,jyp,n,indexh)
usq=usq+uu(ix ,jy ,n,indexh)*uu(ix ,jy ,n,indexh)+ &
uu(ixp,jy ,n,indexh)*uu(ixp,jy ,n,indexh)+ &
uu(ix ,jyp,n,indexh)*uu(ix ,jyp,n,indexh)+ &
uu(ixp,jyp,n,indexh)*uu(ixp,jyp,n,indexh)
vsq=vsq+vv(ix ,jy ,n,indexh)*vv(ix ,jy ,n,indexh)+ &
vv(ixp,jy ,n,indexh)*vv(ixp,jy ,n,indexh)+ &
vv(ix ,jyp,n,indexh)*vv(ix ,jyp,n,indexh)+ &
vv(ixp,jyp,n,indexh)*vv(ixp,jyp,n,indexh)
endif
y3(m)=p1*ww(ix ,jy ,n,indexh) &
+p2*ww(ixp,jy ,n,indexh) &
+p3*ww(ix ,jyp,n,indexh) &
+p4*ww(ixp,jyp,n,indexh)
rhograd1(m)=p1*drhodz(ix ,jy ,n,indexh) &
+p2*drhodz(ixp,jy ,n,indexh) &
+p3*drhodz(ix ,jyp,n,indexh) &
+p4*drhodz(ixp,jyp,n,indexh)
rho1(m)=p1*rho(ix ,jy ,n,indexh) &
+p2*rho(ixp,jy ,n,indexh) &
+p3*rho(ix ,jyp,n,indexh) &
+p4*rho(ixp,jyp,n,indexh)
wsl=wsl+ww(ix ,jy ,n,indexh)+ww(ixp,jy ,n,indexh) &
+ww(ix ,jyp,n,indexh)+ww(ixp,jyp,n,indexh)
wsq=wsq+ww(ix ,jy ,n,indexh)*ww(ix ,jy ,n,indexh)+ &
ww(ixp,jy ,n,indexh)*ww(ixp,jy ,n,indexh)+ &
ww(ix ,jyp,n,indexh)*ww(ix ,jyp,n,indexh)+ &
ww(ixp,jyp,n,indexh)*ww(ixp,jyp,n,indexh)
end do
uprof(n)=(y1(1)*dt2+y1(2)*dt1)*dtt
vprof(n)=(y2(1)*dt2+y2(2)*dt1)*dtt
wprof(n)=(y3(1)*dt2+y3(2)*dt1)*dtt
rhoprof(n)=(rho1(1)*dt2+rho1(2)*dt1)*dtt
rhogradprof(n)=(rhograd1(1)*dt2+rhograd1(2)*dt1)*dtt
indzindicator(n)=.false.
! Compute standard deviations
!****************************
xaux=usq-usl*usl/8.
if (xaux.lt.eps) then
usigprof(n)=0.
else
usigprof(n)=sqrt(xaux/7.)
endif
xaux=vsq-vsl*vsl/8.
if (xaux.lt.eps) then
vsigprof(n)=0.
else
vsigprof(n)=sqrt(xaux/7.)
endif
xaux=wsq-wsl*wsl/8.
if (xaux.lt.eps) then
wsigprof(n)=0.
else
wsigprof(n)=sqrt(xaux/7.)
endif
end subroutine interpol_misslev
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