!*********************************************************************** !* 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 . * !*********************************************************************** subroutine interpol_misslev(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 * ! Update: 2 March 1999 * ! * ! Revision March 2005 by AST : all output variables in common block * ! calculation of standard deviation done in this * ! routine rather than subroutine call in order * ! to save computation time * ! * !******************************************************************************* ! * ! Variables: * ! n level * ! * ! Constants: * ! * !******************************************************************************* ! 12 JUNE 2007 by W Wang ! compute pttrof , 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) 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) ! y4(m) =p1*ptt(ix ,jy ,n,indexh) & ! +p2*ptt(ixp,jy ,n,indexh) & ! +p3*ptt(ix ,jyp,n,indexh) & ! +p4*ptt(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 ! pttprof(n)=(y4(1)*dt2+y4(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