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calcpv_nests.f90
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calcpv_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 calcpv_nests(l,n,uuhn,vvhn,pvhn)
! i i i i o
!*******************************************************************************
! *
! Note: This is the FLEXPART_WRF version of subroutine calcpv_nests. *
! The computational grid is the WRF x-y grid rather than lat-lon. *
! *
! Calculation of potential vorticity on 3-d nested grid *
! *
! Author: P. James *
! 22 February 2000 *
! *
! 11 Nov 2005, R. Easter - changes associated with WRF horizontal grid. *
! For pressure use pph instead of (akz + bkz*ps) *
! *** Note -- see ??? comments below regarding the pvh calculation. *
! *
!*******************************************************************************
! *
! Variables: *
! n temporal index for meteorological fields (1 to 2) *
! l index of current nest *
! *
! Constants: *
! *
!*******************************************************************************
! include 'includepar'
! include 'includecom'
!
! integer n,ix,jy,i,j,k,kl,ii,jj,klvrp,klvrm,klpt,kup,kdn,kch
! integer jyvp,jyvm,ixvp,ixvm,jumpx,jumpy,jux,juy,ivrm,ivrp,ivr
! integer nlck,l
! real vx(2),uy(2),phi,tanphi,cosphi,dvdx,dudy,f
! real theta,thetap,thetam,dthetadp,dt1,dt2,dt,ppmk
! real altit(nuvzmax),ppml(nuvzmax)
! real thup,thdn,eps,p0
! parameter(eps=1.e-5,p0=101325)
! real thhn(0:nxmaxn-1,0:nymaxn-1,nuvzmax,maxnests)
! real uuhn(0:nxmaxn-1,0:nymaxn-1,nuvzmax,maxnests)
! real vvhn(0:nxmaxn-1,0:nymaxn-1,nuvzmax,maxnests)
! real pvhn(0:nxmaxn-1,0:nymaxn-1,nuvzmax,maxnests)
use par_mod
use com_mod
implicit none
integer :: n,ix,jy,i,j,k,kl,ii,jj,klvrp,klvrm,klpt,kup,kdn,kch
integer :: jyvp,jyvm,ixvp,ixvm,jumpx,jumpy,jux,juy,ivrm,ivrp,ivr
integer :: nlck,l
real :: vx(2),uy(2),phi,tanphi,cosphi,dvdx,dudy,f
real :: theta,thetap,thetam,dthetadp,dt1,dt2,dt,ppmk
real :: ppml(nuvzmax)
real :: thup,thdn
real,parameter :: eps=1.e-5,p0=101325
real(kind=4) :: uuhn(0:nxmaxn-1,0:nymaxn-1,nuvzmax,maxnests)
real(kind=4) :: vvhn(0:nxmaxn-1,0:nymaxn-1,nuvzmax,maxnests)
real :: pvhn(0:nxmaxn-1,0:nymaxn-1,nuvzmax,maxnests)
real :: dumlon,dumlat
real :: thhn(0:nxmax-1,0:nymax-1,nuvzmax,maxnests)
real :: altit(nuvzmax)
! Set number of levels to check for adjacent theta
nlck=nuvz/3
! FLEXPART_WRF -- altit is never used, so don't calculate it
! do 5 k=1,nuvz
! altit(k)=akz(k)/p0+bkz(k)
!5 continue
! *** Precalculate all theta levels for efficiency
do jy=0,nyn(l)-1
do kl=1,nuvz
do ix=0,nxn(l)-1
! FLEXPART_WRF -- use pph here
! ppmk=akz(kl)+bkz(kl)*psn(ix,jy,1,n,l)
ppmk=pphn(ix,jy,kl,n,l)
thhn(ix,jy,kl,l)=tthn(ix,jy,kl,n,l)*(100000./ppmk)**kappa
enddo
enddo
enddo
!
! Loop over entire grid
!**********************
do jy=0,nyn(l)-1
! for FLEXPART_WRF, x & y coords are in meters
! and true latitude varies with both i and j
! phi = (ylat0n(l) + jy * dyn(l)) * pi / 180.
! f = 0.00014585 * sin(phi)
! tanphi = tan(phi)
! cosphi = cos(phi)
! Provide a virtual jy+1 and jy-1 in case we are on domain edge (Lat)
jyvp=jy+1
jyvm=jy-1
if (jy.eq.0) jyvm=0
if (jy.eq.nyn(l)-1) jyvp=nyn(l)-1
! Define absolute gap length
jumpy=2
if (jy.eq.0.or.jy.eq.nyn(l)-1) jumpy=1
juy=jumpy
!
do ix=0,nxn(l)-1
! for FLEXPART_WRF, x & y coords are in meters
! and true latitude varies with both i and j
call xyindex_to_ll_wrf( &
l, real(ix), real(jy), dumlon, dumlat )
phi = dumlat * pi / 180.
f = 0.00014585 * sin(phi)
tanphi = tan(phi)
cosphi = cos(phi)
! Provide a virtual ix+1 and ix-1 in case we are on domain edge (Long)
ixvp=ix+1
ixvm=ix-1
jumpx=2
if (ix.eq.0) ixvm=0
if (ix.eq.nxn(l)-1) ixvp=nxn(l)-1
ivrp=ixvp
ivrm=ixvm
! Define absolute gap length
if (ix.eq.0.or.ix.eq.nxn(l)-1) jumpx=1
jux=jumpx
! Precalculate pressure values for efficiency
do kl=1,nuvz
! FLEXPART_WRF -- use pph here
! ppml(kl)=akz(kl)+bkz(kl)*psn(ix,jy,1,n,l)
ppml(kl)=pphn(ix,jy,kl,n,l)
enddo
!
! Loop over the vertical
!***********************
do kl=1,nuvz
theta=thhn(ix,jy,kl,l)
klvrp=kl+1
klvrm=kl-1
klpt=kl
! If top or bottom level, dthetadp is evaluated between the current
! level and the level inside, otherwise between level+1 and level-1
!
if (klvrp.gt.nuvz) klvrp=nuvz
if (klvrm.lt.1) klvrm=1
thetap=thhn(ix,jy,klvrp,l)
thetam=thhn(ix,jy,klvrm,l)
dthetadp=(thetap-thetam)/(ppml(klvrp)-ppml(klvrm))
! Compute vertical position at pot. temperature surface on subgrid
! and the wind at that position
!*****************************************************************
! a) in x direction
ii=0
do i=ixvm,ixvp,jumpx
ivr=i
ii=ii+1
! Search adjacent levels for current theta value
! Spiral out from current level for efficiency
kup=klpt-1
kdn=klpt
kch=0
40 continue
! Upward branch
kup=kup+1
if (kch.ge.nlck) goto 21 ! No more levels to check,
! ! and no values found
if (kup.ge.nuvz) goto 41
kch=kch+1
k=kup
thdn=thhn(ivr,jy,k,l)
thup=thhn(ivr,jy,k+1,l)
if (((thdn.ge.theta).and.(thup.le.theta)).or. &
((thdn.le.theta).and.(thup.ge.theta))) then
dt1=abs(theta-thdn)
dt2=abs(theta-thup)
dt=dt1+dt2
if (dt.lt.eps) then ! Avoid division by zero error
dt1=0.5 ! G.W., 10.4.1996
dt2=0.5
dt=1.0
endif
vx(ii)=(vvhn(ivr,jy,k,l)*dt2+vvhn(ivr,jy,k+1,l)*dt1)/dt
goto 20
endif
41 continue
! Downward branch
kdn=kdn-1
if (kdn.lt.1) goto 40
kch=kch+1
k=kdn
thdn=thhn(ivr,jy,k,l)
thup=thhn(ivr,jy,k+1,l)
if (((thdn.ge.theta).and.(thup.le.theta)).or. &
((thdn.le.theta).and.(thup.ge.theta))) then
dt1=abs(theta-thdn)
dt2=abs(theta-thup)
dt=dt1+dt2
if (dt.lt.eps) then ! Avoid division by zero error
dt1=0.5 ! G.W., 10.4.1996
dt2=0.5
dt=1.0
endif
vx(ii)=(vvhn(ivr,jy,k,l)*dt2+vvhn(ivr,jy,k+1,l)*dt1)/dt
goto 20
endif
goto 40
! This section used when no values were found
21 continue
! Must use vv at current level and long. jux becomes smaller by 1
vx(ii)=vvhn(ix,jy,kl,l)
jux=jux-1
! Otherwise OK
20 continue
end do
if (jux.gt.0) then
! for FLEXPART_WRF, dx & dy are in meters.
! dvdx=(vx(2)-vx(1))/real(jux)/(dxn(l)*pi/180.)
dvdx=(vx(2)-vx(1))/real(jux)/dxn(l)
else
dvdx=vvhn(ivrp,jy,kl,l)-vvhn(ivrm,jy,kl,l)
! dvdx=dvdx/real(jumpx)/(dxn(l)*pi/180.)
dvdx=dvdx/real(jumpx)/dxn(l)
! Only happens if no equivalent theta value
! can be found on either side, hence must use values
! from either side, same pressure level.
end if
! b) in y direction
jj=0
do j=jyvm,jyvp,jumpy
jj=jj+1
! Search adjacent levels for current theta value
! Spiral out from current level for efficiency
kup=klpt-1
kdn=klpt
kch=0
70 continue
! Upward branch
kup=kup+1
if (kch.ge.nlck) goto 51 ! No more levels to check,
! ! and no values found
if (kup.ge.nuvz) goto 71
kch=kch+1
k=kup
thdn=thhn(ix,j,k,l)
thup=thhn(ix,j,k+1,l)
if (((thdn.ge.theta).and.(thup.le.theta)).or. &
((thdn.le.theta).and.(thup.ge.theta))) then
dt1=abs(theta-thdn)
dt2=abs(theta-thup)
dt=dt1+dt2
if (dt.lt.eps) then ! Avoid division by zero error
dt1=0.5 ! G.W., 10.4.1996
dt2=0.5
dt=1.0
endif
uy(jj)=(uuhn(ix,j,k,l)*dt2+uuhn(ix,j,k+1,l)*dt1)/dt
goto 50
endif
71 continue
! Downward branch
kdn=kdn-1
if (kdn.lt.1) goto 70
kch=kch+1
k=kdn
thdn=thhn(ix,j,k,l)
thup=thhn(ix,j,k+1,l)
if (((thdn.ge.theta).and.(thup.le.theta)).or. &
((thdn.le.theta).and.(thup.ge.theta))) then
dt1=abs(theta-thdn)
dt2=abs(theta-thup)
dt=dt1+dt2
if (dt.lt.eps) then ! Avoid division by zero error
dt1=0.5 ! G.W., 10.4.1996
dt2=0.5
dt=1.0
endif
uy(jj)=(uuhn(ix,j,k,l)*dt2+uuhn(ix,j,k+1,l)*dt1)/dt
goto 50
endif
goto 70
! This section used when no values were found
51 continue
! Must use uu at current level and lat. juy becomes smaller by 1
uy(jj)=uuhn(ix,jy,kl,l)
juy=juy-1
! Otherwise OK
50 continue
end do
if (juy.gt.0) then
! for FLEXPART_WRF, dx & dy are in meters.
! dudy=(uy(2)-uy(1))/real(juy)/(dyn(l)*pi/180.)
dudy=(uy(2)-uy(1))/real(juy)/dyn(l)
else
dudy=uuhn(ix,jyvp,kl,l)-uuhn(ix,jyvm,kl,l)
! dudy=dudy/real(jumpy)/(dyn(l)*pi/180.)
dudy=dudy/real(jumpy)/dyn(l)
end if
!
! for FLEXPART_WRF, dx & dy are in meters.
! don't need to divide by r_earth when doing d/dy
! don't need to divide by r_earth*cosphi when doing d/dx
! ??? I don't understand the uuhn*tanphi term, but leave it in for now ???
! ??? What is the "-1.e6" factor ???
!
! pvhn(ix,jy,kl,l)=dthetadp*(f+(dvdx/cosphi-dudy
! + +uuhn(ix,jy,kl,l)*tanphi)/r_earth)*(-1.e6)*9.81
pvhn(ix,jy,kl,l)=dthetadp*( f + dvdx - dudy &
+ (uuhn(ix,jy,kl,l)*tanphi/r_earth) )*(-1.e6)*9.81
!
! Resest jux and juy
jux=jumpx
juy=jumpy
end do
end do
end do
!
end subroutine calcpv_nests