WebSVN – lagranto.ecmwf – Diff – /trunk/caltra/caltra.f


      PROGRAM caltra
 
C     ********************************************************************
C     *                                                                  *
C     * Calculates trajectories                                          *
C     *                                                                  *
C     *	Heini Wernli	   first version:	April 1993               *
C     * Michael Sprenger   major upgrade:       2008-2009                *
C     *                                                                  *
C     ********************************************************************
 
      implicit none      
 
c     --------------------------------------------------------------------
c     Declaration of parameters
c     --------------------------------------------------------------------
 
c     Maximum number of levels for input files
      integer   nlevmax
      parameter	(nlevmax=100)
 
c     Maximum number of input files (dates, length of trajectories)
      integer   ndatmax
      parameter	(ndatmax=500)
 
c     Numerical epsilon (for float comparison)
      real      eps
      parameter (eps=0.001)
 
c     Distance in m between 2 lat circles 
      real	deltay
      parameter	(deltay=1.112E5)
      
c     Numerical method for the integration (0=iterative Euler, 1=Runge-Kutta)
      integer   imethod
      parameter (imethod=1)
 
c     Number of iterations for iterative Euler scheme
      integer   numit
      parameter (numit=3)
 
c     Input and output format for trajectories (see iotra.f)
      integer   inpmode
      integer   outmode
 
c     Filename prefix (typically 'P')
      character*1 prefix
      parameter   (prefix='P')
 
c     --------------------------------------------------------------------
c     Declaration of variables
c     --------------------------------------------------------------------
 
c     Input parameters
      integer                                fbflag          ! Flag for forward/backward mode
      integer                                numdat          ! Number of input files
      character*11                           dat(ndatmax)    ! Dates of input files
      real                                   timeinc         ! Time increment between input files
      real                                   per             ! Periodicity (=0 if none)
      integer                                ntra            ! Number of trajectories
      character*80                           cdfname         ! Name of output files
      real                                   ts              ! Time step
      real                                   tst,ten         ! Shift of start and end time relative to first data file
      integer                                deltout         ! Output time interval (in minutes)
      integer                                jflag           ! Jump flag (if =1 ground-touching trajectories reenter atmosphere)
      real                                   wfactor         ! Factor for vertical velocity field
      character*80                           strname         ! File with start positions
      character*80                           timecheck       ! Either 'yes' or 'no'
 
c     Trajectories
      integer                                ncol            ! Number of columns for insput trajectories
      real,allocatable, dimension (:,:,:) :: trainp          ! Input start coordinates (ntra,1,ncol)
      real,allocatable, dimension (:,:,:) :: traout          ! Output trajectories (ntra,ntim,4)
      integer                                reftime(6)      ! Reference date
      character*80                           vars(200)       ! Field names
      real,allocatable, dimension (:)     :: xx0,yy0,pp0     ! Position of air parcels
      integer,allocatable, dimension (:)  :: leftflag        ! Flag for domain-leaving
      real                                   xx1,yy1,pp1     ! Updated position of air parcel
      integer                                leftcount       ! Number of domain leaving trajectories
      integer                                ntim            ! Number of output time steps
 
c     Meteorological fields
      real,allocatable, dimension (:)     :: spt0,spt1       ! Surface pressure
      real,allocatable, dimension (:)     :: uut0,uut1       ! Zonal wind
      real,allocatable, dimension (:)     :: vvt0,vvt1       ! Meridional wind
      real,allocatable, dimension (:)     :: wwt0,wwt1       ! Vertical wind
      real,allocatable, dimension (:)     :: p3t0,p3t1       ! 3d-pressure 
 
c     Grid description
      real                                   pollon,pollat   ! Longitude/latitude of pole
      real                                   ak(nlevmax)     ! Vertical layers and levels
      real                                   bk(nlevmax) 
      real                                   xmin,xmax       ! Zonal grid extension
      real                                   ymin,ymax       ! Meridional grid extension
      integer                                nx,ny,nz        ! Grid dimensions
      real                                   dx,dy           ! Horizontal grid resolution
      integer                                hem             ! Flag for hemispheric domain
      real                                   mdv             ! Missing data value
 
c     Auxiliary variables                 
      real                                   delta,rd
      integer	                             itm,iloop,i,j,k,filo,lalo
      integer                                ierr,stat
      integer                                cdfid,fid
      real	                                 tstart,time0,time1,time
      real                                   reltpos0,reltpos1
      real                                   xind,yind,pind,pp,sp,stagz
      character*80                           filename,varname
      integer                                reftmp(6)
      character                              ch
      real                                   frac,tload
      integer                                itim
      integer                                wstep
      real                                   x1,y1
 
c     Externals
      real                                   int_index4
      external                               int_index4
 
c     --------------------------------------------------------------------
c     Start of program, Read parameters
c     --------------------------------------------------------------------
 
c     Write start message
      print*,'========================================================='
      print*,'              *** START OF PROGRAM CALTRA ***'
      print*
 
c     Open the parameter file
      open(9,file='caltra.param')
 
c     Read flag for forward/backward mode (fbflag)
      read(9,*) fbflag
 
c     Read number of input files (numdat)
      read(9,*) numdat
      if (numdat.gt.ndatmax) then
        print*,' ERROR: too many input files ',numdat,ndatmax
        goto 993
      endif
 
c     Read list of input dates (dat, sort depending on forward/backward mode)
      if (fbflag.eq.1) then
        do itm=1,numdat
          read(9,'(a11)') dat(itm)
        enddo
      else
        do itm=numdat,1,-1
          read(9,'(a11)') dat(itm)
        enddo
      endif
 
c     Read time increment between input files (timeinc)
      read(9,*) timeinc
 
C     Read if data domain is periodic and its periodicity
      read(9,*) per
 
c     Read the number of trajectories and name of position file
      read(9,*) strname
      read(9,*) ntra
      read(9,*) ncol 
      if (ntra.eq.0) goto 991
 
C     Read the name of the output trajectory file and set the constants file
      read(9,*) cdfname
 
C     Read the timestep for trajectory calculation (convert from minutes to hours)
      read(9,*) ts
      ts=ts/60.        
 
C     Read shift of start and end time relative to first data file
      read(9,*) tst
      read(9,*) ten
 
C     Read output time interval (in minutes)
      read(9,*) deltout
 
C     Read jumpflag (if =1 ground-touching trajectories reenter the atmosphere)
      read(9,*) jflag
 
C     Read factor for vertical velocity field
      read(9,*) wfactor
 
c     Read the reference time and the time range
      read(9,*) reftime(1)                  ! year
      read(9,*) reftime(2)                  ! month
      read(9,*) reftime(3)                  ! day
      read(9,*) reftime(4)                  ! hour
      read(9,*) reftime(5)                  ! min
      read(9,*) reftime(6)                  ! time range (in min)
 
c     Read flag for 'no time check'
      read(9,*) timecheck
 
c     Close the input file
      close(9)
 
c     Calculate the number of output time steps
      ntim = abs(reftime(6)/deltout) + 1
 
c     Set the formats of the input and output files
      call mode_tra(inpmode,strname)
      call mode_tra(outmode,cdfname)
      if (outmode.eq.-1) outmode=1
 
c     Write some status information
      print*,'---- INPUT PARAMETERS -----------------------------------'
      print* 
      print*,'  Forward/Backward       : ',fbflag
      print*,'  #input files           : ',numdat
      print*,'  First/last input file  : ',trim(dat(1)),' ... ',
     >                                     trim(dat(numdat))
      print*,'  time increment         : ',timeinc
      print*,'  Output file            : ',trim(cdfname)
      print*,'  Time step (min)        : ',60.*ts
      write(*,'(a27,f7.2,f7.2)') '   Time shift (start,end) : ',tst,ten
      print*,'  Output time interval   : ',deltout
      print*,'  Jump flag              : ',jflag
      print*,'  Vertical wind (scale)  : ',wfactor
      print*,'  Trajectory pos file    : ',trim(strname)
      print*,'  # of trajectories      : ',ntra
      print*,'  # of output timesteps  : ',ntim
      if ( inpmode.eq.-1) then
         print*,'  Input format           : (lon,lat,p)-list'
      else
         print*,'  Input format           : ',inpmode
      endif
      print*,'  Output format          : ',outmode
      print*,'  Periodicity            : ',per
      print*,'  Time check             : ',trim(timecheck)
      print*
 
      print*,'---- FIXED NUMERICAL PARAMETERS -------------------------'
      print*
      print*,'  Numerical scheme       : ',imethod
      print*,'  Number of iterations   : ',numit
      print*,'  Filename prefix        : ',prefix
      print*,'  Missing data value     : ',mdv
      print*
 
c     --------------------------------------------------------------------
c     Read grid parameters, checks and allocate memory
c     --------------------------------------------------------------------
 
c     Read the constant grid parameters (nx,ny,nz,xmin,xmax,ymin,ymax,pollon,pollat)
c     The negative <-fid> of the file identifier is used as a flag for parameter retrieval  
      filename = prefix//dat(1)
      varname  = 'U'
      nx       = 1
      ny       = 1
      nz       = 1
      tload    = -tst
      call input_open (fid,filename)
      call input_grid (-fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,
     >                 tload,pollon,pollat,rd,rd,nz,rd,rd,rd,timecheck)
      call input_close(fid)
 
C     Check if the number of levels is too large
      if (nz.gt.nlevmax) goto 993
 
C     Set logical flag for periodic data set (hemispheric or not)
      hem = 0
      if (per.eq.0.) then
         delta=xmax-xmin-360.
         if (abs(delta+dx).lt.eps) then               ! Program aborts: arrays must be closed
            goto 992
        else if (abs(delta).lt.eps) then              ! Periodic and hemispheric
           hem=1
           per=360.
        endif
      else                                            ! Periodic and hemispheric
         hem=1
      endif
      
C     Allocate memory for some meteorological arrays
      allocate(spt0(nx*ny),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array spt0 ***'   ! Surface pressure
      allocate(spt1(nx*ny),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array spt1 ***'
      allocate(uut0(nx*ny*nz),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array uut0 ***'   ! Zonal wind
      allocate(uut1(nx*ny*nz),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array uut1 ***'
      allocate(vvt0(nx*ny*nz),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array vvt0 ***'   ! Meridional wind
      allocate(vvt1(nx*ny*nz),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array vvt1 ***'
      allocate(wwt0(nx*ny*nz),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array wwt0 ***'   ! Vertical wind
      allocate(wwt1(nx*ny*nz),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array wwt1 ***'
      allocate(p3t0(nx*ny*nz),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array p3t0 ***'   ! Pressure
      allocate(p3t1(nx*ny*nz),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array p3t1 ***'
 
C     Get memory for trajectory arrays
      allocate(trainp(ntra,1,ncol),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array trainp   ***' ! Input start coordinates
      allocate(traout(ntra,ntim,4),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array traout   ***' ! Output trajectories
      allocate(xx0(ntra),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array xx0      ***' ! X position (longitude)
      allocate(yy0(ntra),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array yy0      ***' ! Y position (latitude)
      allocate(pp0(ntra),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array pp0      ***' ! Pressure
      allocate(leftflag(ntra),stat=stat)
      if (stat.ne.0) print*,'*** error allocating array leftflag ***' ! Leaving-domain flag
 
c     Write some status information
      print*,'---- CONSTANT GRID PARAMETERS ---------------------------'
      print*
      print*,'  xmin,xmax     : ',xmin,xmax
      print*,'  ymin,ymax     : ',ymin,ymax
      print*,'  dx,dy         : ',dx,dy
      print*,'  pollon,pollat : ',pollon,pollat
      print*,'  nx,ny,nz      : ',nx,ny,nz
      print*,'  per, hem      : ',per,hem
      print*
 
c     --------------------------------------------------------------------
c     Initialize the trajectory calculation
c     --------------------------------------------------------------------
 
c     Read start coordinates from file - Format (lon,lat,lev)
      if (inpmode.eq.-1) then
         open(fid,file=strname)
          do i=1,ntra
             read(fid,*) xx0(i),yy0(i),pp0(i)
          enddo
         close(fid)
 
c     Read start coordinates from trajectory file - check consistency of ref time
      else
         print*,'Hallo', ntra,ncol
         call ropen_tra(cdfid,strname,ntra,1,ncol,reftmp,vars,inpmode)
         call read_tra (cdfid,trainp,ntra,1,ncol,inpmode)
         do i=1,ntra
            time   = trainp(i,1,1)
            xx0(i) = trainp(i,1,2) 
            yy0(i) = trainp(i,1,3) 
            pp0(i) = trainp(i,1,4) 
         enddo
         call close_tra(cdfid,inpmode)
 
         if ( ( reftime(1).ne.reftmp(1) ).or.
     >        ( reftime(2).ne.reftmp(2) ).or.
     >        ( reftime(3).ne.reftmp(3) ).or.
     >        ( reftime(4).ne.reftmp(4) ).or.
     >        ( reftime(5).ne.reftmp(5) ) )
     >   then
            print*,' WARNING: Inconsistent reference times'
            write(*,'(5i8)') (reftime(i),i=1,5)
            write(*,'(5i8)') (reftmp (i),i=1,5)
            print*,'Enter a key to proceed...'
            stop
         endif
      endif
 
c     Set sign of time range
      reftime(6) = fbflag * reftime(6)
         
c     Write some status information
      print*,'---- REFERENCE DATE---------- ---------------------------'
      print*
      print*,' Reference time (year)  :',reftime(1)
      print*,'                (month) :',reftime(2)
      print*,'                (day)   :',reftime(3)
      print*,'                (hour)  :',reftime(4)
      print*,'                (min)   :',reftime(5)
      print*,' Time range             :',reftime(6),' min'
      print*
 
C     Save starting positions 
      itim = 1
      do i=1,ntra
         traout(i,itim,1) = 0.
         traout(i,itim,2) = xx0(i)
         traout(i,itim,3) = yy0(i)
         traout(i,itim,4) = pp0(i)
      enddo
 
c     Init the flag and the counter for trajectories leaving the domain
      leftcount=0
      do i=1,ntra
         leftflag(i)=0
      enddo
 
C     Convert time shifts <tst,ten> from <hh.mm> into fractional time
      call hhmm2frac(tst,frac)
      tst = frac
      call hhmm2frac(ten,frac)
      ten = frac
 
c     Check that all starting positions are above topography
      varname = 'P'
      filename = prefix//dat(1)
      call input_open (fid,filename)
      call input_grid
     >    (fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,
     >     tload,pollon,pollat,p3t1,spt1,nz,ak,bk,stagz,timecheck)
      call input_close(fid)
      do i=1,ntra
 
C       Interpolate surface pressure to actual position (from first input file)
        x1 = xx0(i)
        y1 = yy0(i)
        call get_index4 (xind,yind,pind,x1,y1,1050.,0.,
     >                   p3t1,p3t1,spt1,spt1,3,
     >                   nx,ny,nz,xmin,ymin,dx,dy,mdv)
        sp = int_index4 (spt1,spt1,nx,ny,1,xind,yind,1.,0.,mdv)
 
c       Decide whether to keep the trajectory
        if ( pp0(i).gt.sp ) then
            write(*,'(a30,3f10.2)')
     >               'WARNING: starting point below topography ',
     >               xx0(i),yy0(i),pp0(i)
            leftflag(i) = 1
        endif
 
      enddo
 
 
c     -----------------------------------------------------------------------
c     Loop to calculate trajectories
c     -----------------------------------------------------------------------
 
c     Write some status information
      print*
      print*,'---- TRAJECTORIES ----------- ---------------------------'
      print*    
 
C     Set the time for the first data file (depending on forward/backward mode)
      if (fbflag.eq.1) then
        tstart = -tst
      else
        tstart = tst
      endif
 
c     Set the minute counter for output
      wstep = 0
 
c     Read wind fields and vertical grid from first file
      filename = prefix//dat(1)
 
      call frac2hhmm(tstart,tload)
 
      write(*,'(a16,a20,f7.2)') '  (file,time) : ',
     >                       trim(filename),tload
 
      call input_open (fid,filename)
      varname='U'                                      ! U
      call input_wind 
     >    (fid,varname,uut1,tload,stagz,mdv,
     >     xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)
      varname='V'                                      ! V
      call input_wind 
     >    (fid,varname,vvt1,tload,stagz,mdv,
     >     xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)
      varname='OMEGA'                                  ! OMEGA
      call input_wind 
     >    (fid,varname,wwt1,tload,stagz,mdv,
     >     xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)      
      call input_grid                                  ! GRID
     >    (fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,
     >     tload,pollon,pollat,p3t1,spt1,nz,ak,bk,stagz,timecheck)
      call input_close(fid)
          
c     Loop over all input files (time step is <timeinc>)
      do itm=1,numdat-1
 
c       Calculate actual and next time
        time0 = tstart+real(itm-1)*timeinc*fbflag
        time1 = time0+timeinc*fbflag
 
c       Copy old velocities and pressure fields to new ones       
        do i=1,nx*ny*nz
           uut0(i)=uut1(i)
           vvt0(i)=vvt1(i)
           wwt0(i)=wwt1(i)
           p3t0(i)=p3t1(i)
        enddo
        do i=1,nx*ny
           spt0(i)=spt1(i)
        enddo
 
c       Read wind fields and surface pressure at next time
        filename = prefix//dat(itm+1)
 
        call frac2hhmm(time1,tload)
        write(*,'(a16,a20,f7.2)') '  (file,time) : ',
     >                          trim(filename),tload
 
        call input_open (fid,filename)
        varname='U'                                     ! U
        call input_wind 
     >       (fid,varname,uut1,tload,stagz,mdv,
     >        xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)
        varname='V'                                     ! V
        call input_wind 
     >       (fid,varname,vvt1,tload,stagz,mdv,
     >        xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)
        varname='OMEGA'                                ! OMEGA
        call input_wind 
     >       (fid,varname,wwt1,tload,stagz,mdv,
     >        xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)      
        call input_grid                                ! GRID
     >       (fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,
     >        tload,pollon,pollat,p3t1,spt1,nz,ak,bk,stagz,timecheck)
        call input_close(fid)
        
C       Determine the first and last loop indices
        if (numdat.eq.2) then
          filo = nint(tst/ts)+1
          lalo = nint((timeinc-ten)/ts) 
        elseif ( itm.eq.1 ) then
          filo = nint(tst/ts)+1
          lalo = nint(timeinc/ts)
        else if (itm.eq.numdat-1) then
          filo = 1
          lalo = nint((timeinc-ten)/ts)
        else
          filo = 1
          lalo = nint(timeinc/ts)
        endif
 
c       Split the interval <timeinc> into computational time steps <ts>
        do iloop=filo,lalo
 
C         Calculate relative time position in the interval timeinc (0=beginning, 1=end)
          reltpos0 = ((real(iloop)-1.)*ts)/timeinc
          reltpos1 = real(iloop)*ts/timeinc
 
c         Timestep for all trajectories
          do i=1,ntra
 
C           Check if trajectory has already left the data domain
            if (leftflag(i).ne.1) then	
 
c             Iterative Euler timestep (x0,y0,p0 -> x1,y1,p1)
              if (imethod.eq.1) then
                 call euler(
     >               xx1,yy1,pp1,leftflag(i),
     >               xx0(i),yy0(i),pp0(i),reltpos0,reltpos1,
     >               ts*3600,numit,jflag,mdv,wfactor,fbflag,
     >               spt0,spt1,p3t0,p3t1,uut0,uut1,vvt0,vvt1,wwt0,wwt1,
     >               xmin,ymin,dx,dy,per,hem,nx,ny,nz)
 
c             Runge-Kutta timestep (x0,y0,p0 -> x1,y1,p1)
              else if (imethod.eq.2) then
                 call runge(
     >               xx1,yy1,pp1,leftflag(i),
     >               xx0(i),yy0(i),pp0(i),reltpos0,reltpos1,
     >               ts*3600,numit,jflag,mdv,wfactor,fbflag,
     >               spt0,spt1,p3t0,p3t1,uut0,uut1,vvt0,vvt1,wwt0,wwt1,
     >               xmin,ymin,dx,dy,per,hem,nx,ny,nz)
 
              endif
 
c             Update trajectory position, or increase number of trajectories leaving domain
              if (leftflag(i).eq.1) then
                leftcount=leftcount+1
                if ( leftcount.lt.10 ) then
                   print*,'     -> Trajectory ',i,' leaves domain'
                elseif ( leftcount.eq.10 ) then
                   print*,'     -> N>=10 trajectories leave domain'
                endif
              else
                xx0(i)=xx1      
                yy0(i)=yy1
                pp0(i)=pp1
              endif
 
c          Trajectory has already left data domain (mark as <mdv>)
           else
              xx0(i)=mdv
              yy0(i)=mdv
              pp0(i)=mdv
              
           endif
 
          enddo
 
C         Save positions only every deltout minutes
          delta = aint(iloop*60*ts/deltout)-iloop*60*ts/deltout
          if (abs(delta).lt.eps) then
c          wstep = wstep + abs(ts)
c          if ( mod(wstep,deltout).eq.0 ) then
            time = time0+reltpos1*timeinc*fbflag
            itim = itim + 1
            if ( itim.le.ntim ) then
              do i=1,ntra
                 call frac2hhmm(time,tload)
                 traout(i,itim,1) = tload
                 traout(i,itim,2) = xx0(i)
                 traout(i,itim,3) = yy0(i)
                 traout(i,itim,4) = pp0(i)
              enddo
            endif
          endif
 
        enddo
 
      enddo
 
      print*,(traout(1,1,i),i=1,4)
 
c     Write trajectory file
      vars(1)  ='time'
      vars(2)  ='lon'
      vars(3)  ='lat'
      vars(4)  ='p'
      call wopen_tra(cdfid,cdfname,ntra,ntim,4,reftime,vars,outmode)
      call write_tra(cdfid,traout,ntra,ntim,4,outmode)
      call close_tra(cdfid,outmode)   
 
c     Write some status information, and end of program message
      print*  
      print*,'---- STATUS INFORMATION --------------------------------'
      print*
      print*,'  #leaving domain    ', leftcount
      print*,'  #staying in domain ', ntra-leftcount
      print*
      print*,'              *** END OF PROGRAM CALTRA ***'
      print*,'========================================================='
 
      stop
 
c     ------------------------------------------------------------------
c     Exception handling
c     ------------------------------------------------------------------
 
 991  write(*,*) '*** ERROR: all start points outside the data domain'
      call exit(1)
      
 992  write(*,*) '*** ERROR: close arrays on files (prog. closear)'
      call exit(1)
 
 993  write(*,*) '*** ERROR: problems with array size'
      call exit(1)
 
      end 
 
 
c     *******************************************************************
c     * Time step : either Euler or Runge-Kutta                         *
c     *******************************************************************
 
C     Time-step from (x0,y0,p0) to (x1,y1,p1)
C
C     (x0,y0,p0) input	coordinates (long,lat,p) for starting point
C     (x1,y1,p1) output	coordinates (long,lat,p) for end point
C     deltat	 input	timestep in seconds
C     numit	 input	number of iterations
C     jump	 input  flag (=1 trajectories don't enter the ground)
C     left	 output	flag (=1 if trajectory leaves data domain)
 
c     -------------------------------------------------------------------
c     Iterative Euler time step
c     -------------------------------------------------------------------
 
      subroutine euler(x1,y1,p1,left,x0,y0,p0,reltpos0,reltpos1,
     >                 deltat,numit,jump,mdv,wfactor,fbflag,
     >		       spt0,spt1,p3d0,p3d1,uut0,uut1,vvt0,vvt1,wwt0,wwt1,
     >                 xmin,ymin,dx,dy,per,hem,nx,ny,nz)
 
      implicit none
 
c     Declaration of subroutine parameters
      integer      nx,ny,nz
      real         x1,y1,p1
      integer      left
      real	   x0,y0,p0
      real         reltpos0,reltpos1
      real   	   deltat
      integer      numit
      integer      jump
      real         wfactor
      integer      fbflag
      real     	   spt0(nx*ny)   ,spt1(nx*ny)
      real         uut0(nx*ny*nz),uut1(nx*ny*nz)
      real 	   vvt0(nx*ny*nz),vvt1(nx*ny*nz)
      real         wwt0(nx*ny*nz),wwt1(nx*ny*nz)
      real         p3d0(nx*ny*nz),p3d1(nx*ny*nz)
      real         xmin,ymin,dx,dy
      real         per
      integer      hem
      real         mdv
 
c     Numerical and physical constants
      real         deltay
      parameter    (deltay=1.112E5)  ! Distance in m between 2 lat circles
      real         pi                       
      parameter    (pi=3.1415927)    ! Pi
 
c     Auxiliary variables
      real         xmax,ymax
      real	   xind,yind,pind
      real	   u0,v0,w0,u1,v1,w1,u,v,w,sp
      integer	   icount
      character    ch
 
c     Externals    
      real         int_index4
      external     int_index4
 
c     Reset the flag for domain-leaving
      left=0
 
c     Set the esat-north bounray of the domain
      xmax = xmin+real(nx-1)*dx
      ymax = ymin+real(ny-1)*dy
 
C     Interpolate wind fields to starting position (x0,y0,p0)
      call get_index4 (xind,yind,pind,x0,y0,p0,reltpos0,
     >                 p3d0,p3d1,spt0,spt1,3,
     >                 nx,ny,nz,xmin,ymin,dx,dy,mdv)
      u0 = int_index4(uut0,uut1,nx,ny,nz,xind,yind,pind,reltpos0,mdv)
      v0 = int_index4(vvt0,vvt1,nx,ny,nz,xind,yind,pind,reltpos0,mdv)
      w0 = int_index4(wwt0,wwt1,nx,ny,nz,xind,yind,pind,reltpos0,mdv)
 
c     Force the near-surface wind to zero
      if (pind.lt.1.) w0=w0*pind
 
C     For first iteration take ending position equal to starting position
      x1=x0
      y1=y0
      p1=p0
 
C     Iterative calculation of new position
      do icount=1,numit
 
C        Calculate new winds for advection
         call get_index4 (xind,yind,pind,x1,y1,p1,reltpos1,
     >                    p3d0,p3d1,spt0,spt1,3,
     >                    nx,ny,nz,xmin,ymin,dx,dy,mdv)
         u1 = int_index4(uut0,uut1,nx,ny,nz,xind,yind,pind,reltpos1,mdv)
         v1 = int_index4(vvt0,vvt1,nx,ny,nz,xind,yind,pind,reltpos1,mdv)
         w1 = int_index4(wwt0,wwt1,nx,ny,nz,xind,yind,pind,reltpos1,mdv)
 
c        Force the near-surface wind to zero
         if (pind.lt.1.) w1=w1*pind
 
c        Get the new velocity in between
         u=(u0+u1)/2.
         v=(v0+v1)/2.
         w=(w0+w1)/2.
         
C        Calculate new positions
         x1 = x0 + fbflag*u*deltat/(deltay*cos(y0*pi/180.))
         y1 = y0 + fbflag*v*deltat/deltay
         p1 = p0 + fbflag*wfactor*w*deltat/100.
 
c       Handle pole problems (crossing and near pole trajectory)
        if ((hem.eq.1).and.(y1.gt.90.)) then
          y1=180.-y1
          x1=x1+per/2.
        endif
        if ((hem.eq.1).and.(y1.lt.-90.)) then
          y1=-180.-y1
          x1=x1+per/2.
        endif
        if (y1.gt.89.99) then
           y1=89.99
        endif
 
c       Handle crossings of the dateline
        if ((hem.eq.1).and.(x1.gt.xmin+per-dx)) then
           x1=xmin+amod(x1-xmin,per)
        endif
        if ((hem.eq.1).and.(x1.lt.xmin)) then
           x1=xmin+per+amod(x1-xmin,per)
        endif
 
C       Interpolate surface pressure to actual position
        call get_index4 (xind,yind,pind,x1,y1,1050.,reltpos1,
     >                   p3d0,p3d1,spt0,spt1,3,
     >                   nx,ny,nz,xmin,ymin,dx,dy,mdv)
        sp = int_index4 (spt0,spt1,nx,ny,1,xind,yind,1.,reltpos1,mdv)
 
c       Handle trajectories which cross the lower boundary (jump flag)
        if ((jump.eq.1).and.(p1.gt.sp)) p1=sp-10.
 
C       Check if trajectory leaves data domain
        if ( ( (hem.eq.0).and.(x1.lt.xmin)    ).or.
     >       ( (hem.eq.0).and.(x1.gt.xmax-dx) ).or.
     >         (y1.lt.ymin).or.(y1.gt.ymax).or.(p1.gt.sp) )
     >  then
          left=1
          goto 100
        endif
 
      enddo
 
c     Exit point for subroutine
 100  continue
 
      return
 
      end
 
c     -------------------------------------------------------------------
c     Runge-Kutta (4th order) time-step
c     -------------------------------------------------------------------
 
      subroutine runge(x1,y1,p1,left,x0,y0,p0,reltpos0,reltpos1,
     >                 deltat,numit,jump,mdv,wfactor,fbflag,
     >		       spt0,spt1,p3d0,p3d1,uut0,uut1,vvt0,vvt1,wwt0,wwt1,
     >                 xmin,ymin,dx,dy,per,hem,nx,ny,nz)
 
      implicit none
 
c     Declaration of subroutine parameters
      integer      nx,ny,nz
      real         x1,y1,p1
      integer      left
      real	   x0,y0,p0
      real         reltpos0,reltpos1
      real   	   deltat
      integer      numit
      integer      jump
      real         wfactor
      integer      fbflag
      real     	   spt0(nx*ny)   ,spt1(nx*ny)
      real         uut0(nx*ny*nz),uut1(nx*ny*nz)
      real 	   vvt0(nx*ny*nz),vvt1(nx*ny*nz)
      real         wwt0(nx*ny*nz),wwt1(nx*ny*nz)
      real         p3d0(nx*ny*nz),p3d1(nx*ny*nz)
      real         xmin,ymin,dx,dy
      real         per
      integer      hem
      real         mdv
 
c     Numerical and physical constants
      real         deltay
      parameter    (deltay=1.112E5)  ! Distance in m between 2 lat circles
      real         pi                       
      parameter    (pi=3.1415927)    ! Pi
 
c     Auxiliary variables
      real         xmax,ymax
      real	   xind,yind,pind
      real	   u0,v0,w0,u1,v1,w1,u,v,w,sp
      integer	   icount,n
      real         xs,ys,ps,xk(4),yk(4),pk(4)
      real         reltpos
 
c     Externals    
      real         int_index4
      external     int_index4
 
c     Reset the flag for domain-leaving
      left=0
 
c     Set the esat-north bounray of the domain
      xmax = xmin+real(nx-1)*dx
      ymax = ymin+real(ny-1)*dy
 
c     Apply the Runge Kutta scheme
      do n=1,4
 
c       Get intermediate position and relative time
        if (n.eq.1) then
          xs=0.
          ys=0.
          ps=0.
          reltpos=reltpos0
        else if (n.eq.4) then
          xs=xk(3)
          ys=yk(3)
          ps=pk(3)
          reltpos=reltpos1
        else
          xs=xk(n-1)/2.
          ys=yk(n-1)/2.
          ps=pk(n-1)/2.
          reltpos=(reltpos0+reltpos1)/2.
        endif
        
C       Calculate new winds for advection
        call get_index4 (xind,yind,pind,x0+xs,y0+ys,p0+ps,reltpos,
     >                   p3d0,p3d1,spt0,spt1,3,
     >                   nx,ny,nz,xmin,ymin,dx,dy,mdv)
        u = int_index4 (uut0,uut1,nx,ny,nz,xind,yind,pind,reltpos,mdv)
        v = int_index4 (vvt0,vvt1,nx,ny,nz,xind,yind,pind,reltpos,mdv)
        w = int_index4 (wwt0,wwt1,nx,ny,nz,xind,yind,pind,reltpos,mdv)
         
c       Force the near-surface wind to zero
        if (pind.lt.1.) w1=w1*pind
 
c       Update position and keep them
        xk(n)=fbflag*u*deltat/(deltay*cos(y0*pi/180.))
        yk(n)=fbflag*v*deltat/deltay
        pk(n)=fbflag*w*deltat*wfactor/100.
 
      enddo
 
C     Calculate new positions
      x1=x0+(1./6.)*(xk(1)+2.*xk(2)+2.*xk(3)+xk(4))
      y1=y0+(1./6.)*(yk(1)+2.*yk(2)+2.*yk(3)+yk(4))
      p1=p0+(1./6.)*(pk(1)+2.*pk(2)+2.*pk(3)+pk(4))
 
c     Handle pole problems (crossing and near pole trajectory)
      if ((hem.eq.1).and.(y1.gt.90.)) then
         y1=180.-y1
         x1=x1+per/2.
      endif
      if ((hem.eq.1).and.(y1.lt.-90.)) then
         y1=-180.-y1
         x1=x1+per/2.
      endif
      if (y1.gt.89.99) then
         y1=89.99
      endif
      
c     Handle crossings of the dateline
      if ((hem.eq.1).and.(x1.gt.xmin+per-dx)) then
         x1=xmin+amod(x1-xmin,per)
      endif
      if ((hem.eq.1).and.(x1.lt.xmin)) then
         x1=xmin+per+amod(x1-xmin,per)
      endif
      
C     Interpolate surface pressure to actual position
      call get_index4 (xind,yind,pind,x1,y1,1050.,reltpos1,
     >                 p3d0,p3d1,spt0,spt1,3,
     >                 nx,ny,nz,xmin,ymin,dx,dy,mdv)
      sp = int_index4 (spt0,spt1,nx,ny,1,xind,yind,1,reltpos,mdv)
 
c     Handle trajectories which cross the lower boundary (jump flag)
      if ((jump.eq.1).and.(p1.gt.sp)) p1=sp-10.
      
C     Check if trajectory leaves data domain
      if ( ( (hem.eq.0).and.(x1.lt.xmin)    ).or.
     >     ( (hem.eq.0).and.(x1.gt.xmax-dx) ).or.
     >       (y1.lt.ymin).or.(y1.gt.ymax).or.(p1.gt.sp) )
     >then
         left=1
         goto 100
      endif
      
c     Exit point fdor subroutine
 100  continue
 
      return
      end

Rev 9	Rev 13
1	`PROGRAM caltra`	1	`PROGRAM caltra`
2		2
3	`C ********************************************************************`	3	`C ********************************************************************`
4	`C * *`	4	`C * *`
5	`C * Calculates trajectories *`	5	`C * Calculates trajectories *`
6	`C * *`	6	`C * *`
7	`C * Heini Wernli first version: April 1993 *`	7	`C * Heini Wernli first version: April 1993 *`
8	`C * Michael Sprenger major upgrade: 2008-2009 *`	8	`C * Michael Sprenger major upgrade: 2008-2009 *`
9	`C * *`	9	`C * *`
10	`C ********************************************************************`	10	`C ********************************************************************`
11		11
12	`implicit none`	12	`implicit none`
13		13
14	`c --------------------------------------------------------------------`	14	`c --------------------------------------------------------------------`
15	`c Declaration of parameters`	15	`c Declaration of parameters`
16	`c --------------------------------------------------------------------`	16	`c --------------------------------------------------------------------`
17		17
18	`c Maximum number of levels for input files`	18	`c Maximum number of levels for input files`
19	`integer nlevmax`	19	`integer nlevmax`
20	`parameter (nlevmax=100)`	20	`parameter (nlevmax=100)`
21		21
22	`c Maximum number of input files (dates, length of trajectories)`	22	`c Maximum number of input files (dates, length of trajectories)`
23	`integer ndatmax`	23	`integer ndatmax`
24	`parameter (ndatmax=500)`	24	`parameter (ndatmax=500)`
25		25
26	`c Numerical epsilon (for float comparison)`	26	`c Numerical epsilon (for float comparison)`
27	`real eps`	27	`real eps`
28	`parameter (eps=0.001)`	28	`parameter (eps=0.001)`
29		29
30	`c Distance in m between 2 lat circles`	30	`c Distance in m between 2 lat circles`
31	`real deltay`	31	`real deltay`
32	`parameter (deltay=1.112E5)`	32	`parameter (deltay=1.112E5)`
33		33
34	`c Numerical method for the integration (0=iterative Euler, 1=Runge-Kutta)`	34	`c Numerical method for the integration (0=iterative Euler, 1=Runge-Kutta)`
35	`integer imethod`	35	`integer imethod`
36	`parameter (imethod=1)`	36	`parameter (imethod=1)`
37		37
38	`c Number of iterations for iterative Euler scheme`	38	`c Number of iterations for iterative Euler scheme`
39	`integer numit`	39	`integer numit`
40	`parameter (numit=3)`	40	`parameter (numit=3)`
41		41
42	`c Input and output format for trajectories (see iotra.f)`	42	`c Input and output format for trajectories (see iotra.f)`
43	`integer inpmode`	43	`integer inpmode`
44	`integer outmode`	44	`integer outmode`
45		45
46	`c Filename prefix (typically 'P')`	46	`c Filename prefix (typically 'P')`
47	`character*1 prefix`	47	`character*1 prefix`
48	`parameter (prefix='P')`	48	`parameter (prefix='P')`
49		49
50	`c --------------------------------------------------------------------`	50	`c --------------------------------------------------------------------`
51	`c Declaration of variables`	51	`c Declaration of variables`
52	`c --------------------------------------------------------------------`	52	`c --------------------------------------------------------------------`
53		53
54	`c Input parameters`	54	`c Input parameters`
55	`integer fbflag ! Flag for forward/backward mode`	55	`integer fbflag ! Flag for forward/backward mode`
56	`integer numdat ! Number of input files`	56	`integer numdat ! Number of input files`
57	`character*11 dat(ndatmax) ! Dates of input files`	57	`character*11 dat(ndatmax) ! Dates of input files`
58	`real timeinc ! Time increment between input files`	58	`real timeinc ! Time increment between input files`
59	`real per ! Periodicity (=0 if none)`	59	`real per ! Periodicity (=0 if none)`
60	`integer ntra ! Number of trajectories`	60	`integer ntra ! Number of trajectories`
61	`character*80 cdfname ! Name of output files`	61	`character*80 cdfname ! Name of output files`
62	`real ts ! Time step`	62	`real ts ! Time step`
63	`real tst,ten ! Shift of start and end time relative to first data file`	63	`real tst,ten ! Shift of start and end time relative to first data file`
64	`integer deltout ! Output time interval (in minutes)`	64	`integer deltout ! Output time interval (in minutes)`
65	`integer jflag ! Jump flag (if =1 ground-touching trajectories reenter atmosphere)`	65	`integer jflag ! Jump flag (if =1 ground-touching trajectories reenter atmosphere)`
66	`real wfactor ! Factor for vertical velocity field`	66	`real wfactor ! Factor for vertical velocity field`
67	`character*80 strname ! File with start positions`	67	`character*80 strname ! File with start positions`
68	`character*80 timecheck ! Either 'yes' or 'no'`	68	`character*80 timecheck ! Either 'yes' or 'no'`
69		69
70	`c Trajectories`	70	`c Trajectories`
71	`integer ncol ! Number of columns for insput trajectories`	71	`integer ncol ! Number of columns for insput trajectories`
72	`real,allocatable, dimension (:,:,:) :: trainp ! Input start coordinates (ntra,1,ncol)`	72	`real,allocatable, dimension (:,:,:) :: trainp ! Input start coordinates (ntra,1,ncol)`
73	`real,allocatable, dimension (:,:,:) :: traout ! Output trajectories (ntra,ntim,4)`	73	`real,allocatable, dimension (:,:,:) :: traout ! Output trajectories (ntra,ntim,4)`
74	`integer reftime(6) ! Reference date`	74	`integer reftime(6) ! Reference date`
75	`character*80 vars(200) ! Field names`	75	`character*80 vars(200) ! Field names`
76	`real,allocatable, dimension (:) :: xx0,yy0,pp0 ! Position of air parcels`	76	`real,allocatable, dimension (:) :: xx0,yy0,pp0 ! Position of air parcels`
77	`integer,allocatable, dimension (:) :: leftflag ! Flag for domain-leaving`	77	`integer,allocatable, dimension (:) :: leftflag ! Flag for domain-leaving`
78	`real xx1,yy1,pp1 ! Updated position of air parcel`	78	`real xx1,yy1,pp1 ! Updated position of air parcel`
79	`integer leftcount ! Number of domain leaving trajectories`	79	`integer leftcount ! Number of domain leaving trajectories`
80	`integer ntim ! Number of output time steps`	80	`integer ntim ! Number of output time steps`
81		81
82	`c Meteorological fields`	82	`c Meteorological fields`
83	`real,allocatable, dimension (:) :: spt0,spt1 ! Surface pressure`	83	`real,allocatable, dimension (:) :: spt0,spt1 ! Surface pressure`
84	`real,allocatable, dimension (:) :: uut0,uut1 ! Zonal wind`	84	`real,allocatable, dimension (:) :: uut0,uut1 ! Zonal wind`
85	`real,allocatable, dimension (:) :: vvt0,vvt1 ! Meridional wind`	85	`real,allocatable, dimension (:) :: vvt0,vvt1 ! Meridional wind`
86	`real,allocatable, dimension (:) :: wwt0,wwt1 ! Vertical wind`	86	`real,allocatable, dimension (:) :: wwt0,wwt1 ! Vertical wind`
87	`real,allocatable, dimension (:) :: p3t0,p3t1 ! 3d-pressure`	87	`real,allocatable, dimension (:) :: p3t0,p3t1 ! 3d-pressure`
88		88
89	`c Grid description`	89	`c Grid description`
90	`real pollon,pollat ! Longitude/latitude of pole`	90	`real pollon,pollat ! Longitude/latitude of pole`
91	`real ak(nlevmax) ! Vertical layers and levels`	91	`real ak(nlevmax) ! Vertical layers and levels`
92	`real bk(nlevmax)`	92	`real bk(nlevmax)`
93	`real xmin,xmax ! Zonal grid extension`	93	`real xmin,xmax ! Zonal grid extension`
94	`real ymin,ymax ! Meridional grid extension`	94	`real ymin,ymax ! Meridional grid extension`
95	`integer nx,ny,nz ! Grid dimensions`	95	`integer nx,ny,nz ! Grid dimensions`
96	`real dx,dy ! Horizontal grid resolution`	96	`real dx,dy ! Horizontal grid resolution`
97	`integer hem ! Flag for hemispheric domain`	97	`integer hem ! Flag for hemispheric domain`
98	`real mdv ! Missing data value`	98	`real mdv ! Missing data value`
99		99
100	`c Auxiliary variables`	100	`c Auxiliary variables`
101	`real delta,rd`	101	`real delta,rd`
102	`integer itm,iloop,i,j,k,filo,lalo`	102	`integer itm,iloop,i,j,k,filo,lalo`
103	`integer ierr,stat`	103	`integer ierr,stat`
104	`integer cdfid,fid`	104	`integer cdfid,fid`
105	`real tstart,time0,time1,time`	105	`real tstart,time0,time1,time`
106	`real reltpos0,reltpos1`	106	`real reltpos0,reltpos1`
107	`real xind,yind,pind,pp,sp,stagz`	107	`real xind,yind,pind,pp,sp,stagz`
108	`character*80 filename,varname`	108	`character*80 filename,varname`
109	`integer reftmp(6)`	109	`integer reftmp(6)`
110	`character ch`	110	`character ch`
111	`real frac,tload`	111	`real frac,tload`
112	`integer itim`	112	`integer itim`
113	`integer wstep`	113	`integer wstep`
114	`real x1,y1`	114	`real x1,y1`
115		115
116	`c Externals`	116	`c Externals`
117	`real int_index4`	117	`real int_index4`
118	`external int_index4`	118	`external int_index4`
119		119
120	`c --------------------------------------------------------------------`	120	`c --------------------------------------------------------------------`
121	`c Start of program, Read parameters`	121	`c Start of program, Read parameters`
122	`c --------------------------------------------------------------------`	122	`c --------------------------------------------------------------------`
123		123
124	`c Write start message`	124	`c Write start message`
125	`print*,'========================================================='`	125	`print*,'========================================================='`
126	`print,' START OF PROGRAM CALTRA *'`	126	`print,' START OF PROGRAM CALTRA *'`
127	`print*`	127	`print*`
128		128
129	`c Open the parameter file`	129	`c Open the parameter file`
130	`open(9,file='caltra.param')`	130	`open(9,file='caltra.param')`
131		131
132	`c Read flag for forward/backward mode (fbflag)`	132	`c Read flag for forward/backward mode (fbflag)`
133	`read(9,*) fbflag`	133	`read(9,*) fbflag`
134		134
135	`c Read number of input files (numdat)`	135	`c Read number of input files (numdat)`
136	`read(9,*) numdat`	136	`read(9,*) numdat`
137	`if (numdat.gt.ndatmax) then`	137	`if (numdat.gt.ndatmax) then`
138	`print*,' ERROR: too many input files ',numdat,ndatmax`	138	`print*,' ERROR: too many input files ',numdat,ndatmax`
139	`goto 993`	139	`goto 993`
140	`endif`	140	`endif`
141		141
142	`c Read list of input dates (dat, sort depending on forward/backward mode)`	142	`c Read list of input dates (dat, sort depending on forward/backward mode)`
143	`if (fbflag.eq.1) then`	143	`if (fbflag.eq.1) then`
144	`do itm=1,numdat`	144	`do itm=1,numdat`
145	`read(9,'(a11)') dat(itm)`	145	`read(9,'(a11)') dat(itm)`
146	`enddo`	146	`enddo`
147	`else`	147	`else`
148	`do itm=numdat,1,-1`	148	`do itm=numdat,1,-1`
149	`read(9,'(a11)') dat(itm)`	149	`read(9,'(a11)') dat(itm)`
150	`enddo`	150	`enddo`
151	`endif`	151	`endif`
152		152
153	`c Read time increment between input files (timeinc)`	153	`c Read time increment between input files (timeinc)`
154	`read(9,*) timeinc`	154	`read(9,*) timeinc`
155		155
156	`C Read if data domain is periodic and its periodicity`	156	`C Read if data domain is periodic and its periodicity`
157	`read(9,*) per`	157	`read(9,*) per`
158		158
159	`c Read the number of trajectories and name of position file`	159	`c Read the number of trajectories and name of position file`
160	`read(9,*) strname`	160	`read(9,*) strname`
161	`read(9,*) ntra`	161	`read(9,*) ntra`
162	`read(9,*) ncol`	162	`read(9,*) ncol`
163	`if (ntra.eq.0) goto 991`	163	`if (ntra.eq.0) goto 991`
164		164
165	`C Read the name of the output trajectory file and set the constants file`	165	`C Read the name of the output trajectory file and set the constants file`
166	`read(9,*) cdfname`	166	`read(9,*) cdfname`
167		167
168	`C Read the timestep for trajectory calculation (convert from minutes to hours)`	168	`C Read the timestep for trajectory calculation (convert from minutes to hours)`
169	`read(9,*) ts`	169	`read(9,*) ts`
170	`ts=ts/60.`	170	`ts=ts/60.`
171		171
172	`C Read shift of start and end time relative to first data file`	172	`C Read shift of start and end time relative to first data file`
173	`read(9,*) tst`	173	`read(9,*) tst`
174	`read(9,*) ten`	174	`read(9,*) ten`
175		175
176	`C Read output time interval (in minutes)`	176	`C Read output time interval (in minutes)`
177	`read(9,*) deltout`	177	`read(9,*) deltout`
178		178
179	`C Read jumpflag (if =1 ground-touching trajectories reenter the atmosphere)`	179	`C Read jumpflag (if =1 ground-touching trajectories reenter the atmosphere)`
180	`read(9,*) jflag`	180	`read(9,*) jflag`
181		181
182	`C Read factor for vertical velocity field`	182	`C Read factor for vertical velocity field`
183	`read(9,*) wfactor`	183	`read(9,*) wfactor`
184		184
185	`c Read the reference time and the time range`	185	`c Read the reference time and the time range`
186	`read(9,*) reftime(1) ! year`	186	`read(9,*) reftime(1) ! year`
187	`read(9,*) reftime(2) ! month`	187	`read(9,*) reftime(2) ! month`
188	`read(9,*) reftime(3) ! day`	188	`read(9,*) reftime(3) ! day`
189	`read(9,*) reftime(4) ! hour`	189	`read(9,*) reftime(4) ! hour`
190	`read(9,*) reftime(5) ! min`	190	`read(9,*) reftime(5) ! min`
191	`read(9,*) reftime(6) ! time range (in min)`	191	`read(9,*) reftime(6) ! time range (in min)`
192		192
193	`c Read flag for 'no time check'`	193	`c Read flag for 'no time check'`
194	`read(9,*) timecheck`	194	`read(9,*) timecheck`
195		195
196	`c Close the input file`	196	`c Close the input file`
197	`close(9)`	197	`close(9)`
198		198
199	`c Calculate the number of output time steps`	199	`c Calculate the number of output time steps`
200	`ntim = abs(reftime(6)/deltout) + 1`	200	`ntim = abs(reftime(6)/deltout) + 1`
201		201
202	`c Set the formats of the input and output files`	202	`c Set the formats of the input and output files`
203	`call mode_tra(inpmode,strname)`	203	`call mode_tra(inpmode,strname)`
204	`call mode_tra(outmode,cdfname)`	204	`call mode_tra(outmode,cdfname)`
205	`if (outmode.eq.-1) outmode=1`	205	`if (outmode.eq.-1) outmode=1`
206		206
207	`c Write some status information`	207	`c Write some status information`
208	`print*,'---- INPUT PARAMETERS -----------------------------------'`	208	`print*,'---- INPUT PARAMETERS -----------------------------------'`
209	`print*`	209	`print*`
210	`print*,' Forward/Backward : ',fbflag`	210	`print*,' Forward/Backward : ',fbflag`
211	`print*,' #input files : ',numdat`	211	`print*,' #input files : ',numdat`
212	`print*,' First/last input file : ',trim(dat(1)),' ... ',`	212	`print*,' First/last input file : ',trim(dat(1)),' ... ',`
213	`> trim(dat(numdat))`	213	`> trim(dat(numdat))`
214	`print*,' time increment : ',timeinc`	214	`print*,' time increment : ',timeinc`
215	`print*,' Output file : ',trim(cdfname)`	215	`print*,' Output file : ',trim(cdfname)`
216	`print,' Time step (min) : ',60.ts`	216	`print,' Time step (min) : ',60.ts`
217	`write(*,'(a27,f7.2,f7.2)') ' Time shift (start,end) : ',tst,ten`	217	`write(*,'(a27,f7.2,f7.2)') ' Time shift (start,end) : ',tst,ten`
218	`print*,' Output time interval : ',deltout`	218	`print*,' Output time interval : ',deltout`
219	`print*,' Jump flag : ',jflag`	219	`print*,' Jump flag : ',jflag`
220	`print*,' Vertical wind (scale) : ',wfactor`	220	`print*,' Vertical wind (scale) : ',wfactor`
221	`print*,' Trajectory pos file : ',trim(strname)`	221	`print*,' Trajectory pos file : ',trim(strname)`
222	`print*,' # of trajectories : ',ntra`	222	`print*,' # of trajectories : ',ntra`
223	`print*,' # of output timesteps : ',ntim`	223	`print*,' # of output timesteps : ',ntim`
224	`if ( inpmode.eq.-1) then`	224	`if ( inpmode.eq.-1) then`
225	`print*,' Input format : (lon,lat,p)-list'`	225	`print*,' Input format : (lon,lat,p)-list'`
226	`else`	226	`else`
227	`print*,' Input format : ',inpmode`	227	`print*,' Input format : ',inpmode`
228	`endif`	228	`endif`
229	`print*,' Output format : ',outmode`	229	`print*,' Output format : ',outmode`
230	`print*,' Periodicity : ',per`	230	`print*,' Periodicity : ',per`
231	`print*,' Time check : ',trim(timecheck)`	231	`print*,' Time check : ',trim(timecheck)`
232	`print*`	232	`print*`
233		233
234	`print*,'---- FIXED NUMERICAL PARAMETERS -------------------------'`	234	`print*,'---- FIXED NUMERICAL PARAMETERS -------------------------'`
235	`print*`	235	`print*`
236	`print*,' Numerical scheme : ',imethod`	236	`print*,' Numerical scheme : ',imethod`
237	`print*,' Number of iterations : ',numit`	237	`print*,' Number of iterations : ',numit`
238	`print*,' Filename prefix : ',prefix`	238	`print*,' Filename prefix : ',prefix`
239	`print*,' Missing data value : ',mdv`	239	`print*,' Missing data value : ',mdv`
240	`print*`	240	`print*`
241		241
242	`c --------------------------------------------------------------------`	242	`c --------------------------------------------------------------------`
243	`c Read grid parameters, checks and allocate memory`	243	`c Read grid parameters, checks and allocate memory`
244	`c --------------------------------------------------------------------`	244	`c --------------------------------------------------------------------`
245		245
246	`c Read the constant grid parameters (nx,ny,nz,xmin,xmax,ymin,ymax,pollon,pollat)`	246	`c Read the constant grid parameters (nx,ny,nz,xmin,xmax,ymin,ymax,pollon,pollat)`
247	`c The negative <-fid> of the file identifier is used as a flag for parameter retrieval`	247	`c The negative <-fid> of the file identifier is used as a flag for parameter retrieval`
248	`filename = prefix//dat(1)`	248	`filename = prefix//dat(1)`
249	`varname = 'U'`	249	`varname = 'U'`
250	`nx = 1`	250	`nx = 1`
251	`ny = 1`	251	`ny = 1`
252	`nz = 1`	252	`nz = 1`
253	`tload = -tst`	253	`tload = -tst`
254	`call input_open (fid,filename)`	254	`call input_open (fid,filename)`
255	`call input_grid (-fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,`	255	`call input_grid (-fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,`
256	`> tload,pollon,pollat,rd,rd,nz,rd,rd,rd,timecheck)`	256	`> tload,pollon,pollat,rd,rd,nz,rd,rd,rd,timecheck)`
257	`call input_close(fid)`	257	`call input_close(fid)`
258		258
259	`C Check if the number of levels is too large`	259	`C Check if the number of levels is too large`
260	`if (nz.gt.nlevmax) goto 993`	260	`if (nz.gt.nlevmax) goto 993`
261		261
262	`C Set logical flag for periodic data set (hemispheric or not)`	262	`C Set logical flag for periodic data set (hemispheric or not)`
263	`hem = 0`	263	`hem = 0`
264	`if (per.eq.0.) then`	264	`if (per.eq.0.) then`
265	`delta=xmax-xmin-360.`	265	`delta=xmax-xmin-360.`
266	`if (abs(delta+dx).lt.eps) then ! Program aborts: arrays must be closed`	266	`if (abs(delta+dx).lt.eps) then ! Program aborts: arrays must be closed`
267	`goto 992`	267	`goto 992`
268	`else if (abs(delta).lt.eps) then ! Periodic and hemispheric`	268	`else if (abs(delta).lt.eps) then ! Periodic and hemispheric`
269	`hem=1`	269	`hem=1`
270	`per=360.`	270	`per=360.`
271	`endif`	271	`endif`
272	`else ! Periodic and hemispheric`	272	`else ! Periodic and hemispheric`
273	`hem=1`	273	`hem=1`
274	`endif`	274	`endif`
275		275
276	`C Allocate memory for some meteorological arrays`	276	`C Allocate memory for some meteorological arrays`
277	`allocate(spt0(nx*ny),stat=stat)`	277	`allocate(spt0(nx*ny),stat=stat)`
278	`if (stat.ne.0) print,' error allocating array spt0 *' ! Surface pressure`	278	`if (stat.ne.0) print,' error allocating array spt0 *' ! Surface pressure`
279	`allocate(spt1(nx*ny),stat=stat)`	279	`allocate(spt1(nx*ny),stat=stat)`
280	`if (stat.ne.0) print,' error allocating array spt1 *'`	280	`if (stat.ne.0) print,' error allocating array spt1 *'`
281	`allocate(uut0(nxnynz),stat=stat)`	281	`allocate(uut0(nxnynz),stat=stat)`
282	`if (stat.ne.0) print,' error allocating array uut0 *' ! Zonal wind`	282	`if (stat.ne.0) print,' error allocating array uut0 *' ! Zonal wind`
283	`allocate(uut1(nxnynz),stat=stat)`	283	`allocate(uut1(nxnynz),stat=stat)`
284	`if (stat.ne.0) print,' error allocating array uut1 *'`	284	`if (stat.ne.0) print,' error allocating array uut1 *'`
285	`allocate(vvt0(nxnynz),stat=stat)`	285	`allocate(vvt0(nxnynz),stat=stat)`
286	`if (stat.ne.0) print,' error allocating array vvt0 *' ! Meridional wind`	286	`if (stat.ne.0) print,' error allocating array vvt0 *' ! Meridional wind`
287	`allocate(vvt1(nxnynz),stat=stat)`	287	`allocate(vvt1(nxnynz),stat=stat)`
288	`if (stat.ne.0) print,' error allocating array vvt1 *'`	288	`if (stat.ne.0) print,' error allocating array vvt1 *'`
289	`allocate(wwt0(nxnynz),stat=stat)`	289	`allocate(wwt0(nxnynz),stat=stat)`
290	`if (stat.ne.0) print,' error allocating array wwt0 *' ! Vertical wind`	290	`if (stat.ne.0) print,' error allocating array wwt0 *' ! Vertical wind`
291	`allocate(wwt1(nxnynz),stat=stat)`	291	`allocate(wwt1(nxnynz),stat=stat)`
292	`if (stat.ne.0) print,' error allocating array wwt1 *'`	292	`if (stat.ne.0) print,' error allocating array wwt1 *'`
293	`allocate(p3t0(nxnynz),stat=stat)`	293	`allocate(p3t0(nxnynz),stat=stat)`
294	`if (stat.ne.0) print,' error allocating array p3t0 *' ! Pressure`	294	`if (stat.ne.0) print,' error allocating array p3t0 *' ! Pressure`
295	`allocate(p3t1(nxnynz),stat=stat)`	295	`allocate(p3t1(nxnynz),stat=stat)`
296	`if (stat.ne.0) print,' error allocating array p3t1 *'`	296	`if (stat.ne.0) print,' error allocating array p3t1 *'`
297		297
298	`C Get memory for trajectory arrays`	298	`C Get memory for trajectory arrays`
299	`allocate(trainp(ntra,1,ncol),stat=stat)`	299	`allocate(trainp(ntra,1,ncol),stat=stat)`
300	`if (stat.ne.0) print,' error allocating array trainp *' ! Input start coordinates`	300	`if (stat.ne.0) print,' error allocating array trainp *' ! Input start coordinates`
301	`allocate(traout(ntra,ntim,4),stat=stat)`	301	`allocate(traout(ntra,ntim,4),stat=stat)`
302	`if (stat.ne.0) print,' error allocating array traout *' ! Output trajectories`	302	`if (stat.ne.0) print,' error allocating array traout *' ! Output trajectories`
303	`allocate(xx0(ntra),stat=stat)`	303	`allocate(xx0(ntra),stat=stat)`
304	`if (stat.ne.0) print,' error allocating array xx0 *' ! X position (longitude)`	304	`if (stat.ne.0) print,' error allocating array xx0 *' ! X position (longitude)`
305	`allocate(yy0(ntra),stat=stat)`	305	`allocate(yy0(ntra),stat=stat)`
306	`if (stat.ne.0) print,' error allocating array yy0 *' ! Y position (latitude)`	306	`if (stat.ne.0) print,' error allocating array yy0 *' ! Y position (latitude)`
307	`allocate(pp0(ntra),stat=stat)`	307	`allocate(pp0(ntra),stat=stat)`
308	`if (stat.ne.0) print,' error allocating array pp0 *' ! Pressure`	308	`if (stat.ne.0) print,' error allocating array pp0 *' ! Pressure`
309	`allocate(leftflag(ntra),stat=stat)`	309	`allocate(leftflag(ntra),stat=stat)`
310	`if (stat.ne.0) print,' error allocating array leftflag *' ! Leaving-domain flag`	310	`if (stat.ne.0) print,' error allocating array leftflag *' ! Leaving-domain flag`
311		311
312	`c Write some status information`	312	`c Write some status information`
313	`print*,'---- CONSTANT GRID PARAMETERS ---------------------------'`	313	`print*,'---- CONSTANT GRID PARAMETERS ---------------------------'`
314	`print*`	314	`print*`
315	`print*,' xmin,xmax : ',xmin,xmax`	315	`print*,' xmin,xmax : ',xmin,xmax`
316	`print*,' ymin,ymax : ',ymin,ymax`	316	`print*,' ymin,ymax : ',ymin,ymax`
317	`print*,' dx,dy : ',dx,dy`	317	`print*,' dx,dy : ',dx,dy`
318	`print*,' pollon,pollat : ',pollon,pollat`	318	`print*,' pollon,pollat : ',pollon,pollat`
319	`print*,' nx,ny,nz : ',nx,ny,nz`	319	`print*,' nx,ny,nz : ',nx,ny,nz`
320	`print*,' per, hem : ',per,hem`	320	`print*,' per, hem : ',per,hem`
321	`print*`	321	`print*`
322		322
323	`c --------------------------------------------------------------------`	323	`c --------------------------------------------------------------------`
324	`c Initialize the trajectory calculation`	324	`c Initialize the trajectory calculation`
325	`c --------------------------------------------------------------------`	325	`c --------------------------------------------------------------------`
326		326
327	`c Read start coordinates from file - Format (lon,lat,lev)`	327	`c Read start coordinates from file - Format (lon,lat,lev)`
328	`if (inpmode.eq.-1) then`	328	`if (inpmode.eq.-1) then`
329	`open(fid,file=strname)`	329	`open(fid,file=strname)`
330	`do i=1,ntra`	330	`do i=1,ntra`
331	`read(fid,*) xx0(i),yy0(i),pp0(i)`	331	`read(fid,*) xx0(i),yy0(i),pp0(i)`
332	`enddo`	332	`enddo`
333	`close(fid)`	333	`close(fid)`
334		334
335	`c Read start coordinates from trajectory file - check consistency of ref time`	335	`c Read start coordinates from trajectory file - check consistency of ref time`
336	`else`	336	`else`
-		337	`print*,'Hallo', ntra,ncol`
337	`call ropen_tra(cdfid,strname,ntra,1,ncol,reftmp,vars,inpmode)`	338	`call ropen_tra(cdfid,strname,ntra,1,ncol,reftmp,vars,inpmode)`
338	`call read_tra (cdfid,trainp,ntra,1,ncol,inpmode)`	339	`call read_tra (cdfid,trainp,ntra,1,ncol,inpmode)`
339	`do i=1,ntra`	340	`do i=1,ntra`
340	`time = trainp(i,1,1)`	341	`time = trainp(i,1,1)`
341	`xx0(i) = trainp(i,1,2)`	342	`xx0(i) = trainp(i,1,2)`
342	`yy0(i) = trainp(i,1,3)`	343	`yy0(i) = trainp(i,1,3)`
343	`pp0(i) = trainp(i,1,4)`	344	`pp0(i) = trainp(i,1,4)`
344	`enddo`	345	`enddo`
345	`call close_tra(cdfid,inpmode)`	346	`call close_tra(cdfid,inpmode)`
346		347
347	`if ( ( reftime(1).ne.reftmp(1) ).or.`	348	`if ( ( reftime(1).ne.reftmp(1) ).or.`
348	`> ( reftime(2).ne.reftmp(2) ).or.`	349	`> ( reftime(2).ne.reftmp(2) ).or.`
349	`> ( reftime(3).ne.reftmp(3) ).or.`	350	`> ( reftime(3).ne.reftmp(3) ).or.`
350	`> ( reftime(4).ne.reftmp(4) ).or.`	351	`> ( reftime(4).ne.reftmp(4) ).or.`
351	`> ( reftime(5).ne.reftmp(5) ) )`	352	`> ( reftime(5).ne.reftmp(5) ) )`
352	`> then`	353	`> then`
353	`print*,' WARNING: Inconsistent reference times'`	354	`print*,' WARNING: Inconsistent reference times'`
354	`write(*,'(5i8)') (reftime(i),i=1,5)`	355	`write(*,'(5i8)') (reftime(i),i=1,5)`
355	`write(*,'(5i8)') (reftmp (i),i=1,5)`	356	`write(*,'(5i8)') (reftmp (i),i=1,5)`
356	`print*,'Enter a key to proceed...'`	357	`print*,'Enter a key to proceed...'`
357	`stop`	358	`stop`
358	`endif`	359	`endif`
359	`endif`	360	`endif`
360		361
361	`c Set sign of time range`	362	`c Set sign of time range`
362	`reftime(6) = fbflag * reftime(6)`	363	`reftime(6) = fbflag * reftime(6)`
363		364
364	`c Write some status information`	365	`c Write some status information`
365	`print*,'---- REFERENCE DATE---------- ---------------------------'`	366	`print*,'---- REFERENCE DATE---------- ---------------------------'`
366	`print*`	367	`print*`
367	`print*,' Reference time (year) :',reftime(1)`	368	`print*,' Reference time (year) :',reftime(1)`
368	`print*,' (month) :',reftime(2)`	369	`print*,' (month) :',reftime(2)`
369	`print*,' (day) :',reftime(3)`	370	`print*,' (day) :',reftime(3)`
370	`print*,' (hour) :',reftime(4)`	371	`print*,' (hour) :',reftime(4)`
371	`print*,' (min) :',reftime(5)`	372	`print*,' (min) :',reftime(5)`
372	`print*,' Time range :',reftime(6),' min'`	373	`print*,' Time range :',reftime(6),' min'`
373	`print*`	374	`print*`
374		375
375	`C Save starting positions`	376	`C Save starting positions`
376	`itim = 1`	377	`itim = 1`
377	`do i=1,ntra`	378	`do i=1,ntra`
378	`traout(i,itim,1) = 0.`	379	`traout(i,itim,1) = 0.`
379	`traout(i,itim,2) = xx0(i)`	380	`traout(i,itim,2) = xx0(i)`
380	`traout(i,itim,3) = yy0(i)`	381	`traout(i,itim,3) = yy0(i)`
381	`traout(i,itim,4) = pp0(i)`	382	`traout(i,itim,4) = pp0(i)`
382	`enddo`	383	`enddo`
383		384
384	`c Init the flag and the counter for trajectories leaving the domain`	385	`c Init the flag and the counter for trajectories leaving the domain`
385	`leftcount=0`	386	`leftcount=0`
386	`do i=1,ntra`	387	`do i=1,ntra`
387	`leftflag(i)=0`	388	`leftflag(i)=0`
388	`enddo`	389	`enddo`
389		390
390	`C Convert time shifts <tst,ten> from <hh.mm> into fractional time`	391	`C Convert time shifts <tst,ten> from <hh.mm> into fractional time`
391	`call hhmm2frac(tst,frac)`	392	`call hhmm2frac(tst,frac)`
392	`tst = frac`	393	`tst = frac`
393	`call hhmm2frac(ten,frac)`	394	`call hhmm2frac(ten,frac)`
394	`ten = frac`	395	`ten = frac`
395		396
396	`c Check that all starting positions are above topography`	397	`c Check that all starting positions are above topography`
397	`varname = 'P'`	398	`varname = 'P'`
398	`filename = prefix//dat(1)`	399	`filename = prefix//dat(1)`
399	`call input_open (fid,filename)`	400	`call input_open (fid,filename)`
400	`call input_grid`	401	`call input_grid`
401	`> (fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,`	402	`> (fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,`
402	`> tload,pollon,pollat,p3t1,spt1,nz,ak,bk,stagz,timecheck)`	403	`> tload,pollon,pollat,p3t1,spt1,nz,ak,bk,stagz,timecheck)`
403	`call input_close(fid)`	404	`call input_close(fid)`
404	`do i=1,ntra`	405	`do i=1,ntra`
405		406
406	`C Interpolate surface pressure to actual position (from first input file)`	407	`C Interpolate surface pressure to actual position (from first input file)`
407	`x1 = xx0(i)`	408	`x1 = xx0(i)`
408	`y1 = yy0(i)`	409	`y1 = yy0(i)`
409	`call get_index4 (xind,yind,pind,x1,y1,1050.,0.,`	410	`call get_index4 (xind,yind,pind,x1,y1,1050.,0.,`
410	`> p3t1,p3t1,spt1,spt1,3,`	411	`> p3t1,p3t1,spt1,spt1,3,`
411	`> nx,ny,nz,xmin,ymin,dx,dy,mdv)`	412	`> nx,ny,nz,xmin,ymin,dx,dy,mdv)`
412	`sp = int_index4 (spt1,spt1,nx,ny,1,xind,yind,1.,0.,mdv)`	413	`sp = int_index4 (spt1,spt1,nx,ny,1,xind,yind,1.,0.,mdv)`
413		414
414	`c Decide whether to keep the trajectory`	415	`c Decide whether to keep the trajectory`
415	`if ( pp0(i).gt.sp ) then`	416	`if ( pp0(i).gt.sp ) then`
416	`write(*,'(a30,3f10.2)')`	417	`write(*,'(a30,3f10.2)')`
417	`> 'WARNING: starting point below topography ',`	418	`> 'WARNING: starting point below topography ',`
418	`> xx0(i),yy0(i),pp0(i)`	419	`> xx0(i),yy0(i),pp0(i)`
419	`leftflag(i) = 1`	420	`leftflag(i) = 1`
420	`endif`	421	`endif`
421		422
422	`enddo`	423	`enddo`
423		424
424		425
425	`c -----------------------------------------------------------------------`	426	`c -----------------------------------------------------------------------`
426	`c Loop to calculate trajectories`	427	`c Loop to calculate trajectories`
427	`c -----------------------------------------------------------------------`	428	`c -----------------------------------------------------------------------`
428		429
429	`c Write some status information`	430	`c Write some status information`
430	`print*`	431	`print*`
431	`print*,'---- TRAJECTORIES ----------- ---------------------------'`	432	`print*,'---- TRAJECTORIES ----------- ---------------------------'`
432	`print*`	433	`print*`
433		434
434	`C Set the time for the first data file (depending on forward/backward mode)`	435	`C Set the time for the first data file (depending on forward/backward mode)`
435	`if (fbflag.eq.1) then`	436	`if (fbflag.eq.1) then`
436	`tstart = -tst`	437	`tstart = -tst`
437	`else`	438	`else`
438	`tstart = tst`	439	`tstart = tst`
439	`endif`	440	`endif`
440		441
441	`c Set the minute counter for output`	442	`c Set the minute counter for output`
442	`wstep = 0`	443	`wstep = 0`
443		444
444	`c Read wind fields and vertical grid from first file`	445	`c Read wind fields and vertical grid from first file`
445	`filename = prefix//dat(1)`	446	`filename = prefix//dat(1)`
446		447
447	`call frac2hhmm(tstart,tload)`	448	`call frac2hhmm(tstart,tload)`
448		449
449	`write(*,'(a16,a20,f7.2)') ' (file,time) : ',`	450	`write(*,'(a16,a20,f7.2)') ' (file,time) : ',`
450	`> trim(filename),tload`	451	`> trim(filename),tload`
451		452
452	`call input_open (fid,filename)`	453	`call input_open (fid,filename)`
453	`varname='U' ! U`	454	`varname='U' ! U`
454	`call input_wind`	455	`call input_wind`
455	`> (fid,varname,uut1,tload,stagz,mdv,`	456	`> (fid,varname,uut1,tload,stagz,mdv,`
456	`> xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)`	457	`> xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)`
457	`varname='V' ! V`	458	`varname='V' ! V`
458	`call input_wind`	459	`call input_wind`
459	`> (fid,varname,vvt1,tload,stagz,mdv,`	460	`> (fid,varname,vvt1,tload,stagz,mdv,`
460	`> xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)`	461	`> xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)`
461	`varname='OMEGA' ! OMEGA`	462	`varname='OMEGA' ! OMEGA`
462	`call input_wind`	463	`call input_wind`
463	`> (fid,varname,wwt1,tload,stagz,mdv,`	464	`> (fid,varname,wwt1,tload,stagz,mdv,`
464	`> xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)`	465	`> xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)`
465	`call input_grid ! GRID`	466	`call input_grid ! GRID`
466	`> (fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,`	467	`> (fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,`
467	`> tload,pollon,pollat,p3t1,spt1,nz,ak,bk,stagz,timecheck)`	468	`> tload,pollon,pollat,p3t1,spt1,nz,ak,bk,stagz,timecheck)`
468	`call input_close(fid)`	469	`call input_close(fid)`
469		470
470	`c Loop over all input files (time step is <timeinc>)`	471	`c Loop over all input files (time step is <timeinc>)`
471	`do itm=1,numdat-1`	472	`do itm=1,numdat-1`
472		473
473	`c Calculate actual and next time`	474	`c Calculate actual and next time`
474	`time0 = tstart+real(itm-1)timeincfbflag`	475	`time0 = tstart+real(itm-1)timeincfbflag`
475	`time1 = time0+timeinc*fbflag`	476	`time1 = time0+timeinc*fbflag`
476		477
477	`c Copy old velocities and pressure fields to new ones`	478	`c Copy old velocities and pressure fields to new ones`
478	`do i=1,nxnynz`	479	`do i=1,nxnynz`
479	`uut0(i)=uut1(i)`	480	`uut0(i)=uut1(i)`
480	`vvt0(i)=vvt1(i)`	481	`vvt0(i)=vvt1(i)`
481	`wwt0(i)=wwt1(i)`	482	`wwt0(i)=wwt1(i)`
482	`p3t0(i)=p3t1(i)`	483	`p3t0(i)=p3t1(i)`
483	`enddo`	484	`enddo`
484	`do i=1,nx*ny`	485	`do i=1,nx*ny`
485	`spt0(i)=spt1(i)`	486	`spt0(i)=spt1(i)`
486	`enddo`	487	`enddo`
487		488
488	`c Read wind fields and surface pressure at next time`	489	`c Read wind fields and surface pressure at next time`
489	`filename = prefix//dat(itm+1)`	490	`filename = prefix//dat(itm+1)`
490		491
491	`call frac2hhmm(time1,tload)`	492	`call frac2hhmm(time1,tload)`
492	`write(*,'(a16,a20,f7.2)') ' (file,time) : ',`	493	`write(*,'(a16,a20,f7.2)') ' (file,time) : ',`
493	`> trim(filename),tload`	494	`> trim(filename),tload`
494		495
495	`call input_open (fid,filename)`	496	`call input_open (fid,filename)`
496	`varname='U' ! U`	497	`varname='U' ! U`
497	`call input_wind`	498	`call input_wind`
498	`> (fid,varname,uut1,tload,stagz,mdv,`	499	`> (fid,varname,uut1,tload,stagz,mdv,`
499	`> xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)`	500	`> xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)`

Subversion Repositories lagranto.ecmwf

(root)/trunk/caltra/caltra.f – Rev 9 → 13