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interpol_misslev_nests.f90
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!***********************************************************************
!* Copyright 2012,2013 *
!* Jerome Brioude, Delia Arnold, Andreas Stohl, Wayne Angevine, *
!* John Burkhart, Massimo Cassiani, Adam Dingwell, Richard C Easter, Sabine Eckhardt,*
!* Stephanie Evan, Jerome D Fast, Don Morton, Ignacio Pisso, *
!* Petra Seibert, Gerard Wotawa, Caroline Forster, Harald Sodemann, *
!* *
!* This file is part of FLEXPART WRF *
!* *
!* 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_nests(n,xt,yt,zt,&
uprof,vprof,wprof, usigprof,vsigprof,wsigprof, &
rhoprof,rhogradprof, tkeprof,pttprof, &
u,v,w,usig,vsig,wsig,pvi, &
p1,p2,p3,p4,ddx,ddy,rddx,rddy,dtt,dt1,dt2, &
ix,jy,ixp,jyp,ngrid,indz,indzp, depoindicator, &
indzindicator, &
ust,wst,ol,h,zeta,sigu,sigv,tlu,tlv,tlw, &
sigw,dsigwdz,dsigw2dz)
! i
!*******************************************************************************
! *
! This subroutine interpolates u,v,w, density and density gradients. *
! *
! Author: A. Stohl *
! *
! 16 December 1997 *
! *
!*******************************************************************************
! *
! Variables: *
! n level *
! *
! Constants: *
! *
!*******************************************************************************
! 12 JUNE 2007 W Wang
! compute pttprof, add a variable y4 for interpolation *
!*******************************************************************************
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),y4(2)
real :: usl,vsl,wsl,usq,vsq,wsq,xaux
integer :: m,n,indexh
real,parameter :: eps=1.0e-30
real :: uprof(nzmax),vprof(nzmax),wprof(nzmax)
real :: usigprof(nzmax),vsigprof(nzmax),wsigprof(nzmax)
real :: rhoprof(nzmax),rhogradprof(nzmax)
real :: tkeprof(nzmax),pttprof(nzmax)
real :: u,v,w,usig,vsig,wsig,pvi
real :: p1,p2,p3,p4,ddx,ddy,rddx,rddy,dtt,dt1,dt2
integer :: ix,jy,ixp,jyp,ngrid,indz,indzp
logical :: depoindicator(maxspec)
logical :: indzindicator(nzmax)
real :: ust,wst,ol,h,zeta,sigu,sigv,tlu,tlv,tlw
real :: sigw,dsigwdz,dsigw2dz
real(kind=dp) :: xt,yt
real :: zt
!********************************************
! 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)
y1(m)=p1*uun(ix ,jy ,n,indexh,ngrid) &
+p2*uun(ixp,jy ,n,indexh,ngrid) &
+p3*uun(ix ,jyp,n,indexh,ngrid) &
+p4*uun(ixp,jyp,n,indexh,ngrid)
y2(m)=p1*vvn(ix ,jy ,n,indexh,ngrid) &
+p2*vvn(ixp,jy ,n,indexh,ngrid) &
+p3*vvn(ix ,jyp,n,indexh,ngrid) &
+p4*vvn(ixp,jyp,n,indexh,ngrid)
y3(m)=p1*wwn(ix ,jy ,n,indexh,ngrid) &
+p2*wwn(ixp,jy ,n,indexh,ngrid) &
+p3*wwn(ix ,jyp,n,indexh,ngrid) &
+p4*wwn(ixp,jyp,n,indexh,ngrid)
rho1(m)=p1*rhon(ix ,jy ,n,indexh,ngrid) &
+p2*rhon(ixp,jy ,n,indexh,ngrid) &
+p3*rhon(ix ,jyp,n,indexh,ngrid) &
+p4*rhon(ixp,jyp,n,indexh,ngrid)
rhograd1(m)=p1*drhodzn(ix ,jy ,n,indexh,ngrid) &
+p2*drhodzn(ixp,jy ,n,indexh,ngrid) &
+p3*drhodzn(ix ,jyp,n,indexh,ngrid) &
+p4*drhodzn(ixp,jyp,n,indexh,ngrid)
! y4(m)=p1*pttn(ix ,jy ,n,indexh,ngrid) &
! +p2*pttn(ixp,jy ,n,indexh,ngrid) &
! +p3*pttn(ix ,jyp,n,indexh,ngrid) &
! +p4*pttn(ixp,jyp,n,indexh,ngrid)
usl=usl+uun(ix ,jy ,n,indexh,ngrid)+uun(ixp,jy ,n,indexh,ngrid) &
+uun(ix ,jyp,n,indexh,ngrid)+uun(ixp,jyp,n,indexh,ngrid)
vsl=vsl+vvn(ix ,jy ,n,indexh,ngrid)+vvn(ixp,jy ,n,indexh,ngrid) &
+vvn(ix ,jyp,n,indexh,ngrid)+vvn(ixp,jyp,n,indexh,ngrid)
wsl=wsl+wwn(ix ,jy ,n,indexh,ngrid)+wwn(ixp,jy ,n,indexh,ngrid) &
+wwn(ix ,jyp,n,indexh,ngrid)+wwn(ixp,jyp,n,indexh,ngrid)
usq=usq+uun(ix ,jy ,n,indexh,ngrid)*uun(ix ,jy ,n,indexh,ngrid)+ &
uun(ixp,jy ,n,indexh,ngrid)*uun(ixp,jy ,n,indexh,ngrid)+ &
uun(ix ,jyp,n,indexh,ngrid)*uun(ix ,jyp,n,indexh,ngrid)+ &
uun(ixp,jyp,n,indexh,ngrid)*uun(ixp,jyp,n,indexh,ngrid)
vsq=vsq+vvn(ix ,jy ,n,indexh,ngrid)*vvn(ix ,jy ,n,indexh,ngrid)+ &
vvn(ixp,jy ,n,indexh,ngrid)*vvn(ixp,jy ,n,indexh,ngrid)+ &
vvn(ix ,jyp,n,indexh,ngrid)*vvn(ix ,jyp,n,indexh,ngrid)+ &
vvn(ixp,jyp,n,indexh,ngrid)*vvn(ixp,jyp,n,indexh,ngrid)
wsq=wsq+wwn(ix ,jy ,n,indexh,ngrid)*wwn(ix ,jy ,n,indexh,ngrid)+ &
wwn(ixp,jy ,n,indexh,ngrid)*wwn(ixp,jy ,n,indexh,ngrid)+ &
wwn(ix ,jyp,n,indexh,ngrid)*wwn(ix ,jyp,n,indexh,ngrid)+ &
wwn(ixp,jyp,n,indexh,ngrid)*wwn(ixp,jyp,n,indexh,ngrid)
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
! pttprof(n)=(y4(1)*dt2+y4(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_nests