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michaesp |
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PROGRAM pv_to_qgpv
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c ********************************************************************************
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c * TRANSFORM ERTEL'S PV TO QUASI-GEOSTROPHIC PV *
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c * Rene Fehlmann 1994 / Code re-organization: Michael Sprenger, 2006 *
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c ********************************************************************************
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c --------------------------------------------------------------------------------
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c Declaration of variables, parameters, externals and common blocks
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c --------------------------------------------------------------------------------
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implicit none
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c Input and output file
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character*80 pvsrcfile
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character*80 referfile
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character*80 anomafile
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c Grid parameters
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integer nx,ny,nz
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real xmin,ymin,zmin,xmax,ymax,zmax
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real dx,dy,dz
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real mdv
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c Numerical and physical parameters
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real pi180 ! Pi/180
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parameter (pi180=3.141592654/180.)
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real rerd ! Earth's radius
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parameter (rerd=6.371229e6)
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real eps ! Numerical epsilon
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parameter (eps=0.01)
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real scale ! Scale for PV unit
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parameter (scale=1e6)
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real minagl ! No PV and qgPV below this height AGL
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parameter (minagl=1000.)
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c Reference state and grid parameters
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real, allocatable,dimension (:) :: nsqref
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real, allocatable,dimension (:) :: thetaref
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real, allocatable,dimension (:) :: rhoref
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real, allocatable,dimension (:) :: pressref
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real, allocatable,dimension (:) :: zref
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real, allocatable,dimension (:,:) :: coriol
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real, allocatable,dimension (:,:) :: oro
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real deltax,deltay,deltaz
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c 3d fields for calculation of qgPV and Ertel's PV
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real,allocatable,dimension (:,:,:) :: qgpv,pv1,pv2,pv
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c Auxiliary variables
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real zpos
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integer i,j,k
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integer stat
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character*80 varname
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integer istep
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real mean,rmsq,min,max
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integer step
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real,allocatable,dimension (:,:) :: tmp
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c --------------------------------------------------------------------------------
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c Input
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c --------------------------------------------------------------------------------
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print*,'********************************************************'
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print*,'* PV_TO_QGPV *'
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print*,'********************************************************'
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c Read parameter file
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open(10,file='fort.10')
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read(10,*) pvsrcfile
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read(10,*) referfile
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read(10,*) anomafile
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close(10)
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print*
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print*,trim(pvsrcfile)
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print*,trim(referfile)
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print*,trim(anomafile)
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print*
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c Get lat/lon gid parameters from input file
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call read_dim (nx,ny,nz,dx,dy,dz,xmin,ymin,zmin,mdv,
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> pvsrcfile)
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print*,'Read_Dim: nx,ny,nz = ',nx,ny,nz
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print*,' dx,dy,dz = ',dx,dy,dz
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print*,' xmin,ymin,zmin = ',xmin,ymin,zmin
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print*,' mdv = ',mdv
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print*
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c Count from 0, not from 1: consistent with <inv_cart.f>.
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nx=nx-1
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ny=ny-1
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nz=nz-1
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c Allocate memory for reference profile and grid parameters
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allocate(rhoref (0:2*nz),STAT=stat)
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if (stat.ne.0) print*,'error allocating rhoref'
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allocate(pressref(0:2*nz),STAT=stat)
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if (stat.ne.0) print*,'error allocating pressref'
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allocate(thetaref(0:2*nz),STAT=stat)
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if (stat.ne.0) print*,'error allocating thetaref'
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allocate(nsqref (0:2*nz),STAT=stat)
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if (stat.ne.0) print*,'error allocating nsqref'
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allocate(zref (0:2*nz),STAT=stat)
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if (stat.ne.0) print*,'error allocating zref'
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allocate(coriol (0:nx,0:ny),STAT=stat)
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if (stat.ne.0) print*,'error allocating coriol'
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allocate(oro (0:nx,0:ny),STAT=stat)
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if (stat.ne.0) print*,'error allocating oro'
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c Allocate memory for calculation of qgPV and Ertel's PV
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allocate(pv1 (0:nx,0:ny,0:nz),STAT=stat)
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if (stat.ne.0) print*,'error allocating pv1'
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allocate(pv2 (0:nx,0:ny,0:nz),STAT=stat)
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if (stat.ne.0) print*,'error allocating pv2'
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allocate(pv (0:nx,0:ny,0:nz),STAT=stat)
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if (stat.ne.0) print*,'error allocating pv'
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allocate(qgpv(0:nx,0:ny,0:nz),STAT=stat)
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if (stat.ne.0) print*,'error allocating qgpv'
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c Allocate memory for temporary array
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allocate(tmp(0:nx,0:ny),STAT=stat)
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if (stat.ne.0) print*,'error allocating tmp'
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c --------------------------------------------------------------------------------
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c Calculate the qgPV from Ertel's PV and put it onto file
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c --------------------------------------------------------------------------------
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c Read data from file
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varname='PV'
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call read_inp (pv1,varname,pvsrcfile,
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> nx,ny,nz,dx,dy,dz,xmin,ymin,zmin,mdv)
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varname='PV_AIM'
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call read_inp (pv2,varname,pvsrcfile,
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> nx,ny,nz,dx,dy,dz,xmin,ymin,zmin,mdv)
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c Read reference profile and grid parameters
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call read_ref (nsqref,rhoref,thetaref,pressref,zref,
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> nx,ny,nz,deltax,deltay,deltaz,coriol,oro,
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> referfile)
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c If the PV is negative, set it to zero
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do i=0,nx
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do j=0,ny
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do k=0,nz
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if (pv1(i,j,k).lt.0.) pv1(i,j,k)=0.
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if (pv2(i,j,k).lt.0.) pv2(i,j,k)=0.
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enddo
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enddo
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enddo
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c Get the difference of Ertel's PV and set all missing values to 0
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do i=0,nx
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do j=0,ny
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do k=0,nz
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if ((abs(pv1(i,j,k)-mdv).gt.eps).and.
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> (abs(pv2(i,j,k)-mdv).gt.eps)) then
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pv(i,j,k)=pv1(i,j,k)-pv2(i,j,k)
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else
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pv(i,j,k)=0.
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endif
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enddo
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enddo
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enddo
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c Calculate qgPV
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call epv_to_qgpv (qgpv,pv,
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> rhoref,pressref,nsqref,thetaref,
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> nx,ny,nz,mdv)
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c Set values on the boundaries to zero
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do i=0,nx
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do j=0,ny
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qgpv(i,j, 0)=0.
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qgpv(i,j,nz)=0.
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enddo
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enddo
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do i=0,nx
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do k=0,nz
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qgpv(i, 0,k)=0.
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qgpv(i,ny,k)=0.
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enddo
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enddo
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do j=0,ny
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do k=0,nz
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qgpv( 0,j,k)=0.
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qgpv(nx,j,k)=0.
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enddo
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enddo
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c Set all values to zero which are too near to the surface
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do i=0,nx
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do j=0,ny
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do k=0,nz
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zpos=zmin+real(k)*dz
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if (zpos.lt.(oro(i,j)+minagl)) then
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pv(i,j,k)=0.
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qgpv(i,j,k)=0.
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endif
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enddo
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enddo
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enddo
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c Write result to netcdf file
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varname='QGPV'
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call write_inp (qgpv,varname,anomafile,nx,ny,nz)
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varname='PV'
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call write_inp (pv,varname,anomafile,nx,ny,nz)
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c Write some info
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print*
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print*,'PV -> qgPV: k z min max mean rmsq'
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step=nz/10
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if (step.lt.1) step=1
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do k=0,nz,step
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do i=0,nx
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do j=0,ny
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tmp(i,j)=qgpv(i,j,k)
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enddo
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enddo
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call calc_error(min,max,mean,rmsq,tmp,nx,ny)
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write(*,'(8x,i3,f10.1,4f10.2)')
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> k,zmin+real(k)*dz,scale*min,scale*max,
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> scale*mean,scale*rmsq
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enddo
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print*
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c --------------------------------------------------------------------------------
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c Format specifications
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c --------------------------------------------------------------------------------
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111 format (5f20.9)
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106 format (2f20.9)
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end
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c ********************************************************************************
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c * NETCDF INPUT AND OUTPUT *
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c ********************************************************************************
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c --------------------------------------------------------------------------------
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c Write input field to netcdf
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c --------------------------------------------------------------------------------
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SUBROUTINE write_inp (field,fieldname,pvsrcfile,nx,ny,nz)
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c Read <fieldname> from netcdf file <pvsrcfile> into <field>. The grid is specified
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c by <nx,ny,nz,dx,dy,dz,xmin,ymin,zmin>. A check is performed whether the input
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c files are consitent with this grid.
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implicit none
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c Declaration of subroutine parameters
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integer nx,ny,nz
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real field (0:nx,0:ny,0:nz)
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character*80 fieldname
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character*80 pvsrcfile
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c Auxiliary variables
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integer cdfid,stat
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integer vardim(4)
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real misdat
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real varmin(4),varmax(4),stag(4)
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integer ndimin,outid,i,j,k
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real tmp(0:nx,0:ny,0:nz)
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integer ntimes
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real time(200)
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integer nvars
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character*80 vnam(100),varname
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integer isok
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c Get grid parameters from PV
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call cdfopn(pvsrcfile,cdfid,stat)
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if (stat.ne.0) goto 998
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call getvars(cdfid,nvars,vnam,stat)
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if (stat.ne.0) goto 998
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isok=0
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varname='PV'
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call check_varok(isok,varname,vnam,nvars)
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if (isok.eq.0) goto 998
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call getdef(cdfid,varname,ndimin,misdat,vardim,
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> varmin,varmax,stag,stat)
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if (stat.ne.0) goto 998
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time(1)=0.
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call gettimes(cdfid,time,ntimes,stat)
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if (stat.ne.0) goto 998
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call clscdf(cdfid,stat)
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if (stat.ne.0) goto 998
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c Save variables (write definition, if necessary)
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call cdfwopn(pvsrcfile,cdfid,stat)
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if (stat.ne.0) goto 998
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isok=0
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varname=fieldname
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call check_varok(isok,varname,vnam,nvars)
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if (isok.eq.0) then
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call putdef(cdfid,varname,ndimin,misdat,vardim,
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> varmin,varmax,stag,stat)
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if (stat.ne.0) goto 998
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endif
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call putdat(cdfid,varname,time(1),0,field,stat)
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print*,'W ',trim(varname),' ',trim(pvsrcfile)
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if (stat.ne.0) goto 998
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c Close input netcdf file
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308 |
call clscdf(cdfid,stat)
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if (stat.ne.0) goto 998
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return
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c Exception handling
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998 print*,'Write_Inp: Problem with input netcdf file... Stop'
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stop
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end
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c --------------------------------------------------------------------------------
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c Read input fields for reference profile
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c --------------------------------------------------------------------------------
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323 |
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SUBROUTINE read_inp (field,fieldname,pvsrcfile,
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> nx,ny,nz,dx,dy,dz,xmin,ymin,zmin,mdv)
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c Read <fieldname> from netcdf file <pvsrcfile> into <field>. The grid is specified
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c by <nx,ny,nz,dx,dy,dz,xmin,ymin,zmin>. A check is performed whether the input
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c files are consitent with this grid. The missing data value is set to <mdv>.
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330 |
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implicit none
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332 |
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333 |
c Declaration of subroutine parameters
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334 |
integer nx,ny,nz
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real field(0:nx,0:ny,0:nz)
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336 |
character*80 fieldname
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character*80 pvsrcfile
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real dx,dy,dz,xmin,ymin,zmin
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339 |
real mdv
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340 |
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341 |
c Numerical and physical parameters
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342 |
real eps
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343 |
parameter (eps=0.01)
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344 |
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c Auxiliary variables
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346 |
integer cdfid,stat,cdfid99
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347 |
integer vardim(4)
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348 |
real misdat
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real varmin(4),varmax(4),stag(4)
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350 |
integer ndimin,outid,i,j,k
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351 |
real tmp(nx,ny,nz)
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352 |
integer ntimes
|
|
|
353 |
real time(200)
|
|
|
354 |
integer nvars
|
|
|
355 |
character*80 vnam(100),varname
|
|
|
356 |
integer isok
|
|
|
357 |
|
|
|
358 |
c Open the input netcdf file
|
|
|
359 |
call cdfopn(pvsrcfile,cdfid,stat)
|
|
|
360 |
if (stat.ne.0) goto 998
|
|
|
361 |
|
|
|
362 |
c Check whether needed variables are on file
|
|
|
363 |
call getvars(cdfid,nvars,vnam,stat)
|
|
|
364 |
if (stat.ne.0) goto 998
|
|
|
365 |
isok=0
|
|
|
366 |
varname=trim(fieldname)
|
|
|
367 |
call check_varok(isok,varname,vnam,nvars)
|
|
|
368 |
if (isok.eq.0) goto 998
|
|
|
369 |
|
|
|
370 |
c Get the grid parameters from theta
|
|
|
371 |
call getdef(cdfid,varname,ndimin,misdat,vardim,
|
|
|
372 |
> varmin,varmax,stag,stat)
|
|
|
373 |
if (stat.ne.0) goto 998
|
|
|
374 |
time(1)=0.
|
|
|
375 |
call gettimes(cdfid,time,ntimes,stat)
|
|
|
376 |
if (stat.ne.0) goto 998
|
|
|
377 |
|
|
|
378 |
c Check whether grid parameters are consistent
|
|
|
379 |
if ( (vardim(1).ne.(nx+1)).or.
|
|
|
380 |
> (vardim(2).ne.(ny+1)).or.
|
|
|
381 |
> (vardim(3).ne.(nz+1)).or.
|
|
|
382 |
> (abs(varmin(1)-xmin).gt.eps).or.
|
|
|
383 |
> (abs(varmin(2)-ymin).gt.eps).or.
|
|
|
384 |
> (abs(varmin(3)-zmin).gt.eps).or.
|
|
|
385 |
> (abs((varmax(1)-varmin(1))/real(vardim(1)-1)-dx).gt.eps).or.
|
|
|
386 |
> (abs((varmax(2)-varmin(2))/real(vardim(2)-1)-dy).gt.eps).or.
|
|
|
387 |
> (abs((varmax(3)-varmin(3))/real(vardim(3)-1)-dz).gt.eps) )
|
|
|
388 |
>then
|
|
|
389 |
print*,'Input grid inconsitency...'
|
|
|
390 |
print*,' Nx = ',vardim(1),nx+1
|
|
|
391 |
print*,' Ny = ',vardim(2),ny+1
|
|
|
392 |
print*,' Nz = ',vardim(3),nz+1
|
|
|
393 |
print*,' Varminx = ',varmin(1),xmin
|
|
|
394 |
print*,' Varminy = ',varmin(2),ymin
|
|
|
395 |
print*,' Varminz = ',varmin(3),zmin
|
|
|
396 |
print*,' Dx = ',(varmax(1)-varmin(1))/real(nx-1),dx
|
|
|
397 |
print*,' Dy = ',(varmax(2)-varmin(2))/real(ny-1),dy
|
|
|
398 |
print*,' Dz = ',(varmax(3)-varmin(3))/real(nz-1),dz
|
|
|
399 |
goto 998
|
|
|
400 |
endif
|
|
|
401 |
|
|
|
402 |
c Load variables
|
|
|
403 |
call getdef(cdfid,varname,ndimin,misdat,vardim,
|
|
|
404 |
> varmin,varmax,stag,stat)
|
|
|
405 |
if (stat.ne.0) goto 998
|
|
|
406 |
call getdat(cdfid,varname,time(1),0,field,stat)
|
|
|
407 |
print*, 'R ',trim(varname),' ',trim(pvsrcfile)
|
|
|
408 |
if (stat.ne.0) goto 998
|
|
|
409 |
|
|
|
410 |
c Close input netcdf file
|
|
|
411 |
call clscdf(cdfid,stat)
|
|
|
412 |
if (stat.ne.0) goto 998
|
|
|
413 |
|
|
|
414 |
c Set missing data value to <mdv>
|
|
|
415 |
do i=1,nx
|
|
|
416 |
do j=1,ny
|
|
|
417 |
do k=1,nz
|
|
|
418 |
if (abs(field(i,j,k)-misdat).lt.eps) then
|
|
|
419 |
field(i,j,k)=mdv
|
|
|
420 |
endif
|
|
|
421 |
enddo
|
|
|
422 |
enddo
|
|
|
423 |
enddo
|
|
|
424 |
|
|
|
425 |
return
|
|
|
426 |
|
|
|
427 |
c Exception handling
|
|
|
428 |
998 print*,'Read_Inp: Problem with input netcdf file... Stop'
|
|
|
429 |
stop
|
|
|
430 |
|
|
|
431 |
end
|
|
|
432 |
|
|
|
433 |
c --------------------------------------------------------------------------------
|
|
|
434 |
c Read refernece profile from netcdf
|
|
|
435 |
c --------------------------------------------------------------------------------
|
|
|
436 |
|
|
|
437 |
SUBROUTINE read_ref (nsqref,rhoref,thetaref,pressref,zref,
|
|
|
438 |
> nx,ny,nz,deltax,deltay,deltaz,coriol,oro,
|
|
|
439 |
> pvsrcfile)
|
|
|
440 |
|
|
|
441 |
c Read the reference profile from file
|
|
|
442 |
c
|
|
|
443 |
c thetaref : Reference potential temperature (K)
|
|
|
444 |
c pressref : Reference pressure (Pa)
|
|
|
445 |
c rhoref : Reference density (kg/m^3)
|
|
|
446 |
c nsqref : Stratification (s^-1)
|
|
|
447 |
c zref : Reference height (m)
|
|
|
448 |
c nx,nny,nz : Grid dimension in x,y,z direction
|
|
|
449 |
c deltax,deltay,deltaz : Grid spacings used for calculations (m)
|
|
|
450 |
c coriol : Coriolis parameter (s^-1)
|
|
|
451 |
c oro : Height of orography (m)
|
|
|
452 |
c pvsrcfile : Input file
|
|
|
453 |
|
|
|
454 |
implicit none
|
|
|
455 |
|
|
|
456 |
c Declaration of subroutine parameters
|
|
|
457 |
integer nx,ny,nz
|
|
|
458 |
real nsqref (0:2*nz)
|
|
|
459 |
real thetaref(0:2*nz)
|
|
|
460 |
real rhoref (0:2*nz)
|
|
|
461 |
real pressref(0:2*nz)
|
|
|
462 |
real zref (0:2*nz)
|
|
|
463 |
real deltax,deltay,deltaz
|
|
|
464 |
real coriol (0:nx,0:ny)
|
|
|
465 |
real oro (0:nx,0:ny)
|
|
|
466 |
character*80 pvsrcfile
|
|
|
467 |
|
|
|
468 |
c Numerical and physical parameters
|
|
|
469 |
real eps
|
|
|
470 |
parameter (eps=0.01)
|
|
|
471 |
|
|
|
472 |
c Auxiliary variables
|
|
|
473 |
integer cdfid,stat
|
|
|
474 |
integer vardim(4)
|
|
|
475 |
real misdat
|
|
|
476 |
integer ndimin
|
|
|
477 |
real varmin(4),varmax(4),stag(4)
|
|
|
478 |
integer i,j,k,nf1
|
|
|
479 |
integer ntimes
|
|
|
480 |
real time(200)
|
|
|
481 |
character*80 vnam(100),varname
|
|
|
482 |
integer nvars
|
|
|
483 |
integer isok,ierr
|
|
|
484 |
real x(0:nx,0:ny),y(0:nx,0:ny)
|
|
|
485 |
real mean,count
|
|
|
486 |
|
|
|
487 |
c Get grid description from topography
|
|
|
488 |
call cdfopn(pvsrcfile,cdfid,stat)
|
|
|
489 |
if (stat.ne.0) goto 997
|
|
|
490 |
call getvars(cdfid,nvars,vnam,stat)
|
|
|
491 |
if (stat.ne.0) goto 997
|
|
|
492 |
isok=0
|
|
|
493 |
varname='ORO'
|
|
|
494 |
call check_varok(isok,varname,vnam,nvars)
|
|
|
495 |
if (isok.eq.0) goto 997
|
|
|
496 |
call getdef(cdfid,varname,ndimin,misdat,vardim,
|
|
|
497 |
> varmin,varmax,stag,stat)
|
|
|
498 |
if (stat.ne.0) goto 997
|
|
|
499 |
time(1)=0.
|
|
|
500 |
call gettimes(cdfid,time,ntimes,stat)
|
|
|
501 |
if (stat.ne.0) goto 997
|
|
|
502 |
call clscdf(cdfid,stat)
|
|
|
503 |
if (stat.ne.0) goto 997
|
|
|
504 |
|
|
|
505 |
c Open output netcdf file
|
|
|
506 |
call cdfopn(pvsrcfile,cdfid,stat)
|
|
|
507 |
if (stat.ne.0) goto 997
|
|
|
508 |
|
|
|
509 |
c Create the variable if necessary
|
|
|
510 |
call getvars(cdfid,nvars,vnam,stat)
|
|
|
511 |
if (stat.ne.0) goto 997
|
|
|
512 |
|
|
|
513 |
c Read data from netcdf file
|
|
|
514 |
isok=0
|
|
|
515 |
varname='NSQREF'
|
|
|
516 |
print*,'R ',trim(varname),' ',trim(pvsrcfile)
|
|
|
517 |
call check_varok(isok,varname,vnam,nvars)
|
|
|
518 |
if (isok.eq.0) goto 997
|
|
|
519 |
call getdat(cdfid,varname,time(1),0,nsqref,stat)
|
|
|
520 |
if (stat.ne.0) goto 997
|
|
|
521 |
|
|
|
522 |
isok=0
|
|
|
523 |
varname='RHOREF'
|
|
|
524 |
print*,'R ',trim(varname),' ',trim(pvsrcfile)
|
|
|
525 |
call check_varok(isok,varname,vnam,nvars)
|
|
|
526 |
if (isok.eq.0) goto 997
|
|
|
527 |
call getdat(cdfid,varname,time(1),0,rhoref,stat)
|
|
|
528 |
if (stat.ne.0) goto 997
|
|
|
529 |
|
|
|
530 |
isok=0
|
|
|
531 |
varname='THETAREF'
|
|
|
532 |
print*,'R ',trim(varname),' ',trim(pvsrcfile)
|
|
|
533 |
call check_varok(isok,varname,vnam,nvars)
|
|
|
534 |
if (isok.eq.0) goto 997
|
|
|
535 |
call getdat(cdfid,varname,time(1),0,thetaref,stat)
|
|
|
536 |
if (stat.ne.0) goto 997
|
|
|
537 |
|
|
|
538 |
isok=0
|
|
|
539 |
varname='PREREF'
|
|
|
540 |
print*,'R ',trim(varname),' ',trim(pvsrcfile)
|
|
|
541 |
call check_varok(isok,varname,vnam,nvars)
|
|
|
542 |
if (isok.eq.0) goto 997
|
|
|
543 |
call getdat(cdfid,varname,time(1),0,pressref,stat)
|
|
|
544 |
if (stat.ne.0) goto 997
|
|
|
545 |
|
|
|
546 |
isok=0
|
|
|
547 |
varname='ZREF'
|
|
|
548 |
print*,'R ',trim(varname),' ',trim(pvsrcfile)
|
|
|
549 |
call check_varok(isok,varname,vnam,nvars)
|
|
|
550 |
if (isok.eq.0) goto 997
|
|
|
551 |
call getdat(cdfid,varname,time(1),0,zref,stat)
|
|
|
552 |
if (stat.ne.0) goto 997
|
|
|
553 |
|
|
|
554 |
isok=0
|
|
|
555 |
varname='CORIOL'
|
|
|
556 |
print*,'R ',trim(varname),' ',trim(pvsrcfile)
|
|
|
557 |
call check_varok(isok,varname,vnam,nvars)
|
|
|
558 |
if (isok.eq.0) goto 997
|
|
|
559 |
call getdat(cdfid,varname,time(1),0,coriol,stat)
|
|
|
560 |
if (stat.ne.0) goto 997
|
|
|
561 |
|
|
|
562 |
isok=0
|
|
|
563 |
varname='ORO'
|
|
|
564 |
print*,'R ',trim(varname),' ',trim(pvsrcfile)
|
|
|
565 |
call check_varok(isok,varname,vnam,nvars)
|
|
|
566 |
if (isok.eq.0) goto 997
|
|
|
567 |
call getdat(cdfid,varname,time(1),0,oro,stat)
|
|
|
568 |
if (stat.ne.0) goto 997
|
|
|
569 |
|
|
|
570 |
isok=0
|
|
|
571 |
varname='X'
|
|
|
572 |
print*,'R ',trim(varname),' ',trim(pvsrcfile)
|
|
|
573 |
call check_varok(isok,varname,vnam,nvars)
|
|
|
574 |
if (isok.eq.0) goto 997
|
|
|
575 |
call getdat(cdfid,varname,time(1),0,x,stat)
|
|
|
576 |
if (stat.ne.0) goto 997
|
|
|
577 |
|
|
|
578 |
isok=0
|
|
|
579 |
varname='Y'
|
|
|
580 |
print*,'R ',trim(varname),' ',trim(pvsrcfile)
|
|
|
581 |
call check_varok(isok,varname,vnam,nvars)
|
|
|
582 |
if (isok.eq.0) goto 997
|
|
|
583 |
call getdat(cdfid,varname,time(1),0,y,stat)
|
|
|
584 |
if (stat.ne.0) goto 997
|
|
|
585 |
|
|
|
586 |
c Close netcdf file
|
|
|
587 |
call clscdf(cdfid,stat)
|
|
|
588 |
if (stat.ne.0) goto 997
|
|
|
589 |
|
|
|
590 |
c Determine the grid spacings <deltax, deltay, deltaz>
|
|
|
591 |
mean=0.
|
|
|
592 |
count=0.
|
|
|
593 |
do i=1,nx
|
|
|
594 |
do j=0,ny
|
|
|
595 |
mean=mean+abs(x(i)-x(i-1))
|
|
|
596 |
count=count+1.
|
|
|
597 |
enddo
|
|
|
598 |
enddo
|
|
|
599 |
deltax=mean/count
|
|
|
600 |
|
|
|
601 |
mean=0.
|
|
|
602 |
count=0.
|
|
|
603 |
do j=1,ny
|
|
|
604 |
do i=0,nx
|
|
|
605 |
mean=mean+abs(y(j)-y(j-1))
|
|
|
606 |
count=count+1.
|
|
|
607 |
enddo
|
|
|
608 |
enddo
|
|
|
609 |
deltay=mean/count
|
|
|
610 |
|
|
|
611 |
mean=0.
|
|
|
612 |
count=0.
|
|
|
613 |
do k=1,nz-1
|
|
|
614 |
mean=mean+abs(zref(k+1)-zref(k-1))
|
|
|
615 |
count=count+1.
|
|
|
616 |
enddo
|
|
|
617 |
deltaz=mean/count
|
|
|
618 |
|
|
|
619 |
return
|
|
|
620 |
|
|
|
621 |
c Exception handling
|
|
|
622 |
997 print*,'Read_Ref: Problem with input netcdf file... Stop'
|
|
|
623 |
stop
|
|
|
624 |
|
|
|
625 |
end
|
|
|
626 |
|
|
|
627 |
c --------------------------------------------------------------------------------
|
|
|
628 |
c Check whether variable is found on netcdf file
|
|
|
629 |
c --------------------------------------------------------------------------------
|
|
|
630 |
|
|
|
631 |
subroutine check_varok (isok,varname,varlist,nvars)
|
|
|
632 |
|
|
|
633 |
c Check whether the variable <varname> is in the list <varlist(nvars)>. If this is
|
|
|
634 |
C the case, <isok> is incremented by 1. Otherwise <isok> keeps its value.
|
|
|
635 |
|
|
|
636 |
implicit none
|
|
|
637 |
|
|
|
638 |
c Declaraion of subroutine parameters
|
|
|
639 |
integer isok
|
|
|
640 |
integer nvars
|
|
|
641 |
character*80 varname
|
|
|
642 |
character*80 varlist(nvars)
|
|
|
643 |
|
|
|
644 |
c Auxiliary variables
|
|
|
645 |
integer i
|
|
|
646 |
|
|
|
647 |
c Main
|
|
|
648 |
do i=1,nvars
|
|
|
649 |
if (trim(varname).eq.trim(varlist(i))) isok=isok+1
|
|
|
650 |
enddo
|
|
|
651 |
|
|
|
652 |
end
|
|
|
653 |
|
|
|
654 |
c --------------------------------------------------------------------------------
|
|
|
655 |
c Get grid parameters
|
|
|
656 |
c --------------------------------------------------------------------------------
|
|
|
657 |
|
|
|
658 |
subroutine read_dim (nx,ny,nz,dx,dy,dz,xmin,ymin,zmin,mdv,
|
|
|
659 |
> pvsrcfile)
|
|
|
660 |
|
|
|
661 |
c Get the grid parameters from the variable <THETA> on the input file <pvsrcfile>.
|
|
|
662 |
c The grid parameters are
|
|
|
663 |
c nx,ny,nz : Number of grid points in x, y and z direction
|
|
|
664 |
c xmin,ymin,zmin : Minimum domain coordinates in x, y and z direction
|
|
|
665 |
c xmax,ymax,zmax : Maximal domain coordinates in x, y and z direction
|
|
|
666 |
c dx,dy,dz : Horizontal and vertical resolution
|
|
|
667 |
c Additionally, it is checked whether the vertical grid is equally spaced. If ok,
|
|
|
668 |
c the grid paramters are transformed from lon/lat to distance (in meters)
|
|
|
669 |
|
|
|
670 |
implicit none
|
|
|
671 |
|
|
|
672 |
c Declaration of subroutine parameters
|
|
|
673 |
character*80 pvsrcfile
|
|
|
674 |
integer nx,ny,nz
|
|
|
675 |
real dx,dy,dz
|
|
|
676 |
real xmin,ymin,zmin,xmax,ymax,zmax
|
|
|
677 |
real mdv
|
|
|
678 |
|
|
|
679 |
c Numerical epsilon and other physical/geoemtrical parameters
|
|
|
680 |
real eps
|
|
|
681 |
parameter (eps=0.01)
|
|
|
682 |
|
|
|
683 |
c Auxiliary variables
|
|
|
684 |
integer cdfid,cstid
|
|
|
685 |
integer ierr
|
|
|
686 |
character*80 vnam(100),varname
|
|
|
687 |
integer nvars
|
|
|
688 |
integer isok
|
|
|
689 |
integer vardim(4)
|
|
|
690 |
real misdat
|
|
|
691 |
real varmin(4),varmax(4),stag(4)
|
|
|
692 |
real aklev(1000),bklev(1000),aklay(1000),bklay(1000)
|
|
|
693 |
real dh
|
|
|
694 |
character*80 csn
|
|
|
695 |
integer ndim
|
|
|
696 |
integer i
|
|
|
697 |
|
|
|
698 |
c Get all grid parameters
|
|
|
699 |
call cdfopn(pvsrcfile,cdfid,ierr)
|
|
|
700 |
if (ierr.ne.0) goto 998
|
|
|
701 |
call getvars(cdfid,nvars,vnam,ierr)
|
|
|
702 |
if (ierr.ne.0) goto 998
|
|
|
703 |
isok=0
|
|
|
704 |
varname='PV'
|
|
|
705 |
call check_varok(isok,varname,vnam,nvars)
|
|
|
706 |
if (isok.eq.0) goto 998
|
|
|
707 |
call getcfn(cdfid,csn,ierr)
|
|
|
708 |
if (ierr.ne.0) goto 998
|
|
|
709 |
call cdfopn(csn,cstid,ierr)
|
|
|
710 |
if (ierr.ne.0) goto 998
|
|
|
711 |
call getdef(cdfid,varname,ndim,misdat,vardim,varmin,varmax,
|
|
|
712 |
> stag,ierr)
|
|
|
713 |
if (ierr.ne.0) goto 998
|
|
|
714 |
nx=vardim(1)
|
|
|
715 |
ny=vardim(2)
|
|
|
716 |
nz=vardim(3)
|
|
|
717 |
xmin=varmin(1)
|
|
|
718 |
ymin=varmin(2)
|
|
|
719 |
zmin=varmin(3)
|
|
|
720 |
call getlevs(cstid,nz,aklev,bklev,aklay,bklay,ierr)
|
|
|
721 |
if (ierr.ne.0) goto 998
|
|
|
722 |
call getgrid(cstid,dx,dy,ierr)
|
|
|
723 |
if (ierr.ne.0) goto 998
|
|
|
724 |
xmax=varmax(1)
|
|
|
725 |
ymax=varmax(2)
|
|
|
726 |
zmax=varmax(3)
|
|
|
727 |
dz=(zmax-zmin)/real(nz-1)
|
|
|
728 |
call clscdf(cstid,ierr)
|
|
|
729 |
if (ierr.ne.0) goto 998
|
|
|
730 |
call clscdf(cdfid,ierr)
|
|
|
731 |
if (ierr.ne.0) goto 998
|
|
|
732 |
|
|
|
733 |
c Check whether the grid is equallay spaced in the vertical
|
|
|
734 |
do i=1,nz-1
|
|
|
735 |
dh=aklev(i+1)-aklev(i)
|
|
|
736 |
if (abs(dh-dz).gt.eps) then
|
|
|
737 |
print*,'Aklev: Vertical grid must be equally spaced... Stop'
|
|
|
738 |
print*,(aklev(i),i=1,nz)
|
|
|
739 |
stop
|
|
|
740 |
endif
|
|
|
741 |
dh=aklay(i+1)-aklay(i)
|
|
|
742 |
if (abs(dh-dz).gt.eps) then
|
|
|
743 |
print*,'Aklay: Vertical grid must be equally spaced... Stop'
|
|
|
744 |
print*,(aklay(i),i=1,nz)
|
|
|
745 |
stop
|
|
|
746 |
endif
|
|
|
747 |
enddo
|
|
|
748 |
|
|
|
749 |
c Set missing data value
|
|
|
750 |
mdv=misdat
|
|
|
751 |
|
|
|
752 |
return
|
|
|
753 |
|
|
|
754 |
c Exception handling
|
|
|
755 |
998 print*,'Read_Dim: Problem with input netcdf file... Stop'
|
|
|
756 |
stop
|
|
|
757 |
|
|
|
758 |
end
|
|
|
759 |
|
|
|
760 |
|
|
|
761 |
c ********************************************************************************
|
|
|
762 |
c * CALCULATION *
|
|
|
763 |
c ********************************************************************************
|
|
|
764 |
|
|
|
765 |
c --------------------------------------------------------------------------------
|
|
|
766 |
c Calculate qgPV from Ertels's PV
|
|
|
767 |
c --------------------------------------------------------------------------------
|
|
|
768 |
|
|
|
769 |
subroutine epv_to_qgpv (qgpv,pv,
|
|
|
770 |
> rhoref,pressref,nsqref,thetaref,
|
|
|
771 |
> nx,ny,nz,mdv)
|
|
|
772 |
|
|
|
773 |
c Calculate the qgPV from Ertel's PV according to equation 2.11 p16, Thesis
|
|
|
774 |
c from Rene Fehlmann.
|
|
|
775 |
|
|
|
776 |
implicit none
|
|
|
777 |
|
|
|
778 |
c Declaration of subroutine parameters
|
|
|
779 |
integer nx,ny,nz
|
|
|
780 |
real qgpv(0:nx,0:ny,0:nz),pv(0:nx,0:ny,0:nz)
|
|
|
781 |
real rhoref (0:2*nz)
|
|
|
782 |
real nsqref (0:2*nz)
|
|
|
783 |
real thetaref(0:2*nz)
|
|
|
784 |
real pressref(0:2*nz)
|
|
|
785 |
real mdv
|
|
|
786 |
|
|
|
787 |
c Numerical epsilon
|
|
|
788 |
real g
|
|
|
789 |
parameter (g=9.81)
|
|
|
790 |
real eps
|
|
|
791 |
parameter (eps=0.01)
|
|
|
792 |
real scale
|
|
|
793 |
parameter (scale=1e6)
|
|
|
794 |
|
|
|
795 |
c Auxiliary variables
|
|
|
796 |
integer i,j,k
|
|
|
797 |
integer kk
|
|
|
798 |
|
|
|
799 |
c Calculation
|
|
|
800 |
do i=0,nx
|
|
|
801 |
do j=0,ny
|
|
|
802 |
do k=0,nz
|
|
|
803 |
|
|
|
804 |
kk=2*k
|
|
|
805 |
|
|
|
806 |
if (( abs(rhoref(kk) -mdv).gt.eps).and.
|
|
|
807 |
> ( abs(thetaref(kk)-mdv).gt.eps).and.
|
|
|
808 |
> ( abs(nsqref(kk) -mdv).gt.eps).and.
|
|
|
809 |
> ( abs(pv(i,j,k) -mdv).gt.eps)) then
|
|
|
810 |
|
|
|
811 |
qgpv(i,j,k)=rhoref(kk)*g*pv(i,j,k)/thetaref(kk)/
|
|
|
812 |
> nsqref(kk)/scale
|
|
|
813 |
|
|
|
814 |
else
|
|
|
815 |
qgpv(i,j,k)=0.
|
|
|
816 |
endif
|
|
|
817 |
|
|
|
818 |
enddo
|
|
|
819 |
enddo
|
|
|
820 |
enddo
|
|
|
821 |
|
|
|
822 |
end
|
|
|
823 |
|
|
|
824 |
c --------------------------------------------------------------------------------
|
|
|
825 |
c Calculate error statistics
|
|
|
826 |
c --------------------------------------------------------------------------------
|
|
|
827 |
|
|
|
828 |
subroutine calc_error (min,max,mean,rmsq,tmp,nx,ny)
|
|
|
829 |
|
|
|
830 |
c Calculate the error statistics for the two-dimensional error field <tmp>. The
|
|
|
831 |
c following error measures are calculated: the minimum <min>, the maximum <max>,
|
|
|
832 |
c the mean <mean>, the root-mean square <rmsq>
|
|
|
833 |
|
|
|
834 |
implicit none
|
|
|
835 |
|
|
|
836 |
c Declaration of subroutine parameters
|
|
|
837 |
integer nx,ny
|
|
|
838 |
real tmp(0:nx,0:ny)
|
|
|
839 |
real mean,rmsq
|
|
|
840 |
real min,max
|
|
|
841 |
|
|
|
842 |
c Auxiliary variables
|
|
|
843 |
integer i,j
|
|
|
844 |
real sum
|
|
|
845 |
integer cnt
|
|
|
846 |
|
|
|
847 |
c Calculate the minimum and maximum
|
|
|
848 |
min=tmp(0,0)
|
|
|
849 |
max=tmp(0,0)
|
|
|
850 |
do i=0,nx
|
|
|
851 |
do j=0,ny
|
|
|
852 |
if (tmp(i,j).lt.min) min=tmp(i,j)
|
|
|
853 |
if (tmp(i,j).gt.max) max=tmp(i,j)
|
|
|
854 |
enddo
|
|
|
855 |
enddo
|
|
|
856 |
|
|
|
857 |
c Calculate the mean
|
|
|
858 |
sum=0.
|
|
|
859 |
cnt=0
|
|
|
860 |
do i=0,nx
|
|
|
861 |
do j=0,ny
|
|
|
862 |
cnt=cnt+1
|
|
|
863 |
sum=sum+tmp(i,j)
|
|
|
864 |
enddo
|
|
|
865 |
enddo
|
|
|
866 |
if (cnt.ge.1) then
|
|
|
867 |
mean=sum/real(cnt)
|
|
|
868 |
else
|
|
|
869 |
mean=0.
|
|
|
870 |
endif
|
|
|
871 |
|
|
|
872 |
c Calculate rmsq
|
|
|
873 |
rmsq=0.
|
|
|
874 |
cnt=0
|
|
|
875 |
do i=0,nx
|
|
|
876 |
do j=0,ny
|
|
|
877 |
cnt=cnt+1
|
|
|
878 |
rmsq=rmsq+(tmp(i,j)-mean)**2
|
|
|
879 |
enddo
|
|
|
880 |
enddo
|
|
|
881 |
if (cnt.ge.1) then
|
|
|
882 |
rmsq=1./real(cnt)*sqrt(rmsq)
|
|
|
883 |
else
|
|
|
884 |
rmsq=0.
|
|
|
885 |
endif
|
|
|
886 |
|
|
|
887 |
end
|
|
|
888 |
|
|
|
889 |
|
|
|
890 |
|
|
|
891 |
|
|
|
892 |
|
|
|
893 |
|
|
|
894 |
|