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michaesp |
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PROGRAM caltra
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C ********************************************************************
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C * *
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C * Calculates trajectories *
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C * *
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C * Heini Wernli first version: April 1993 *
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C * Michael Sprenger major upgrade: 2008-2009 *
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C * *
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C ********************************************************************
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implicit none
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c --------------------------------------------------------------------
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c Declaration of parameters
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c --------------------------------------------------------------------
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c Maximum number of levels for input files
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integer nlevmax
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parameter (nlevmax=100)
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c Maximum number of input files (dates, length of trajectories)
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integer ndatmax
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parameter (ndatmax=500)
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c Numerical epsilon (for float comparison)
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real eps
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parameter (eps=0.001)
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c Distance in m between 2 lat circles
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real deltay
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parameter (deltay=1.112E5)
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c Number of iterations for iterative Euler scheme
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integer numit
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parameter (numit=3)
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c Input and output format for trajectories (see iotra.f)
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integer inpmode
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integer outmode
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c Filename prefix (typically 'P')
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character*1 prefix
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parameter (prefix='P')
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c Externals
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real sdis
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external sdis
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c --------------------------------------------------------------------
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c Declaration of variables
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c --------------------------------------------------------------------
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c Input parameters
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integer fbflag ! Flag for forward/backward mode
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integer numdat ! Number of input files
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character*11 dat(ndatmax) ! Dates of input files
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real timeinc ! Time increment between input files
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integer per ! Periodicity flag (=0 if none)
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integer ntra ! Number of trajectories
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character*80 cdfname ! Name of output files
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real ts ! Time step
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real tst,ten ! Shift of start and end time relative to first data file
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integer deltout ! Output time interval (in minutes)
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integer jflag ! Jump flag (if =1 ground-touching trajectories reenter atmosphere)
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real wfactor ! Factor for vertical velocity field
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character*80 strname ! File with start positions
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character*80 timecheck ! Either 'yes' or 'no'
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character*10 gridflag ! "ideal" or "real"
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c Trajectories
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integer ncol ! Number of columns for insput trajectories
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real,allocatable, dimension (:,:,:) :: trainp ! Input start coordinates (ntra,1,ncol)
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real,allocatable, dimension (:,:,:) :: traout ! Output trajectories (ntra,ntim,4)
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integer reftime(6) ! Reference date
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character*80 vars(200) ! Field names
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real,allocatable, dimension (:) :: xx0,yy0,pp0 ! Position of air parcels
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integer,allocatable, dimension (:) :: leftflag ! Flag for domain-leaving
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real xx1,yy1,pp1 ! Updated position of air parcel
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integer leftcount ! Number of domain leaving trajectories
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integer ntim ! Number of output time steps
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c Meteorological fields
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real,allocatable, dimension (:) :: spt0,spt1 ! Surface pressure
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real,allocatable, dimension (:) :: uut0,uut1 ! Zonal wind
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real,allocatable, dimension (:) :: vvt0,vvt1 ! Meridional wind
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real,allocatable, dimension (:) :: wwt0,wwt1 ! Vertical wind
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real,allocatable, dimension (:) :: p3t0,p3t1 ! 3d-pressure
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c Grid description
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real pollon,pollat ! Longitude/latitude of pole
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real ak(nlevmax) ! Vertical layers and levels
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real bk(nlevmax)
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real xmin,xmax ! Zonal grid extension
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real ymin,ymax ! Meridional grid extension
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integer nx,ny,nz ! Grid dimensions
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real dx,dy ! Horizontal grid resolution
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integer hem ! Flag for hemispheric domain
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real mdv ! Missing data value
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real,allocatable, dimension (:,:) :: mpx,mpy ! Map scale factor in x,y direction
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real,allocatable, dimension (:,:) :: lat,lon ! Map scale factor in x,y direction
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c Auxiliary variables
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real delta,rd
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integer itm,iloop,i,j,k,filo,lalo
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integer ierr,stat
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integer cdfid,fid
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real tstart,time0,time1,time
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real reltpos0,reltpos1
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real xind,yind,pind,pp,sp,stagz
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character*80 filename,varname
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integer reftmp(6)
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character ch
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real frac,tload
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integer itim
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integer wstep
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character*80 radunit
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real lon1,lat1,lon2,lat2
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real scale_max,scale_min
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c --------------------------------------------------------------------
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c Start of program, Read parameters
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c --------------------------------------------------------------------
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c Write start message
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print*,'========================================================='
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print*,' *** START OF PROGRAM CALTRA ***'
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print*
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c Open the parameter file
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open(9,file='caltra.param')
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c Read flag for forward/backward mode (fbflag)
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read(9,*) fbflag
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c Read number of input files (numdat)
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read(9,*) numdat
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if (numdat.gt.ndatmax) then
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print*,' ERROR: too many input files ',numdat,ndatmax
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goto 993
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endif
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c Read list of input dates (dat, sort depending on forward/backward mode)
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if (fbflag.eq.1) then
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do itm=1,numdat
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read(9,'(a11)') dat(itm)
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enddo
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else
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do itm=numdat,1,-1
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read(9,'(a11)') dat(itm)
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enddo
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endif
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c Read time increment between input files (timeinc)
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read(9,*) timeinc
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C Read if data domain is periodic and its periodicity
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read(9,*) per
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c Read the number of trajectories and name of position file
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read(9,*) strname
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read(9,*) ntra
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read(9,*) ncol
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if (ntra.eq.0) goto 991
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C Read the name of the output trajectory file and set the constants file
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read(9,*) cdfname
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C Read the timestep for trajectory calculation (convert from minutes to hours)
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read(9,*) ts
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ts=ts/60.
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C Read shift of start and end time relative to first data file
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read(9,*) tst
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read(9,*) ten
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C Read output time interval (in minutes)
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read(9,*) deltout
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C Read jumpflag (if =1 ground-touching trajectories reenter the atmosphere)
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read(9,*) jflag
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C Read factor for vertical velocity field
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read(9,*) wfactor
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c Read the reference time and the time range
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read(9,*) reftime(1) ! year
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read(9,*) reftime(2) ! month
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read(9,*) reftime(3) ! day
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read(9,*) reftime(4) ! hour
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read(9,*) reftime(5) ! min
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read(9,*) reftime(6) ! time range (in min)
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c Read flag for 'no time check'
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read(9,*) timecheck
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c Close the input file
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close(9)
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c Calculate the number of output time steps
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ntim = abs(reftime(6)/deltout) + 1
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c Set the formats of the input and output files
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call mode_tra(inpmode,strname)
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call mode_tra(outmode,cdfname)
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if (outmode.eq.-1) outmode=1
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c Write some status information
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print*,'---- INPUT PARAMETERS -----------------------------------'
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print*
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print*,' Forward/Backward : ',fbflag
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print*,' #input files : ',numdat
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print*,' First/last input file : ',trim(dat(1)),' ... ',
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> trim(dat(numdat))
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print*,' time increment : ',timeinc
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print*,' Output file : ',trim(cdfname)
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print*,' Time step (min) : ',60.*ts
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write(*,'(a27,f7.2,f7.2)') ' Time shift (start,end) : ',tst,ten
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print*,' Output time interval : ',deltout
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print*,' Jump flag : ',jflag
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print*,' Vertical wind (scale) : ',wfactor
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print*,' Trajectory pos file : ',trim(strname)
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print*,' # of trajectories : ',ntra
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print*,' # of output timesteps : ',ntim
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if ( inpmode.eq.-1) then
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print*,' Input format : (x,y,z)-list'
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else
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print*,' Input format : ',inpmode
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endif
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print*,' Output format : ',outmode
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print*,' Periodicity : ',per
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print*,' Time check : ',trim(timecheck)
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print*
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print*,'---- FIXED NUMERICAL PARAMETERS -------------------------'
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print*
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print*,' Number of iterations : ',numit
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print*,' Filename prefix : ',prefix
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print*,' Missing data value : ',mdv
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print*
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c --------------------------------------------------------------------
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c Read grid parameters, checks and allocate memory
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c --------------------------------------------------------------------
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c Read the constant grid parameters (nx,ny,nz,xmin,xmax,ymin,ymax,pollon,pollat)
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c The negative <-fid> of the file identifier is used as a flag for parameter retrieval
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filename = prefix//dat(1)
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varname = 'U'
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nx = 1
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ny = 1
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nz = 1
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tload = -tst
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call input_open (fid,filename)
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call input_grid_wrf(fid,xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz)
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call input_close(fid)
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C Check if the number of levels is too large
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if (nz.gt.nlevmax) goto 993
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C Set logical flag for hemispheric mode (not yet supported)
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hem = 0
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C Allocate memory for some meteorological arrays
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allocate(spt0(nx*ny),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array spt0 ***' ! Surface geopotential height
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allocate(spt1(nx*ny),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array spt1 ***'
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allocate(uut0(nx*ny*nz),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array uut0 ***' ! Zonal wind
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allocate(uut1(nx*ny*nz),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array uut1 ***'
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allocate(vvt0(nx*ny*nz),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array vvt0 ***' ! Meridional wind
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allocate(vvt1(nx*ny*nz),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array vvt1 ***'
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allocate(wwt0(nx*ny*nz),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array wwt0 ***' ! Vertical wind
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allocate(wwt1(nx*ny*nz),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array wwt1 ***'
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allocate(p3t0(nx*ny*nz),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array p3t0 ***' ! geopotential height
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allocate(p3t1(nx*ny*nz),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array p3t1 ***'
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allocate(mpx(nx,ny),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array mpx * **' ! Map scale factor in x
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allocate(mpy(nx,ny),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array mpy ***' ! Map scale factor in y
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allocate(lon(nx,ny),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array lon ***' ! Grid -> lon
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allocate(lat(nx,ny),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array lat ***' ! Gridy -> lat
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C Get memory for trajectory arrays
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allocate(trainp(ntra,1,ncol),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array trainp ***' ! Input start coordinates
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allocate(traout(ntra,ntim,4),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array traout ***' ! Output trajectories
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allocate(xx0(ntra),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array xx0 ***' ! X position (longitude)
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allocate(yy0(ntra),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array yy0 ***' ! Y position (latitude)
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allocate(pp0(ntra),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array pp0 ***' ! Pressure
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allocate(leftflag(ntra),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array leftflag ***' ! Leaving-domain flag
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c Write some status information
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310 |
print*,'---- CONSTANT GRID PARAMETERS ---------------------------'
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311 |
print*
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print*,' xmin,xmax : ',xmin,xmax
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print*,' ymin,ymax : ',ymin,ymax
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print*,' dx,dy : ',dx,dy
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print*,' nx,ny,nz : ',nx,ny,nz
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print*,' per, hem : ',per,hem
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print*
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c --------------------------------------------------------------------
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c Calculate the map scale factors
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c --------------------------------------------------------------------
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c Read lon/lat on the model grid from first data file
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filename = prefix//dat(1)
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call input_open (fid,filename)
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varname='XLONG'
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call input_var_wrf(fid,varname,lon,nx,ny,1)
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varname='XLAT'
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call input_var_wrf(fid,varname,lat,nx,ny,1)
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call input_close(fid)
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c Get map scale for interior points
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do i=2,nx-1
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do j=2,ny-1
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c Map scale in x direction
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lon1 = lon(i-1,j)
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338 |
lat1 = lat(i-1,j)
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339 |
lon2 = lon(i+1,j)
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340 |
lat2 = lat(i+1,j)
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radunit = 'km.haversine'
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342 |
mpx(i,j) = 0.5 * 1000. * sdis(lon1,lat1,lon2,lat2,radunit)
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|
|
343 |
|
|
|
344 |
c Map scale in y direction
|
|
|
345 |
lon1 = lon(i,j-1)
|
|
|
346 |
lat1 = lat(i,j-1)
|
|
|
347 |
lon2 = lon(i,j+1)
|
|
|
348 |
lat2 = lat(i,j+1)
|
|
|
349 |
radunit = 'km.haversine'
|
|
|
350 |
mpy(i,j) = 0.5 * 1000. * sdis(lon1,lat1,lon2,lat2,radunit)
|
|
|
351 |
|
|
|
352 |
enddo
|
|
|
353 |
enddo
|
|
|
354 |
|
|
|
355 |
c Copy map scale for boundary points
|
|
|
356 |
do i=2,nx-1
|
|
|
357 |
mpx(i, 1) = mpx(i, 2)
|
|
|
358 |
mpx(i,ny) = mpx(i,ny-1)
|
|
|
359 |
mpy(i, 1) = mpy(i, 2)
|
|
|
360 |
mpy(i,ny) = mpy(i,ny-1)
|
|
|
361 |
enddo
|
|
|
362 |
do j=2,ny-1
|
|
|
363 |
mpx(1, j) = mpx(2, j)
|
|
|
364 |
mpx(nx,j) = mpx(nx-1,j)
|
|
|
365 |
mpy(1, j) = mpy(2, j)
|
|
|
366 |
mpy(nx,j) = mpy(nx-1,j)
|
|
|
367 |
enddo
|
|
|
368 |
mpx(1,1) = mpx(2,2)
|
|
|
369 |
mpy(1,1) = mpy(2,2)
|
|
|
370 |
mpx(nx,1) = mpx(nx-1,2)
|
|
|
371 |
mpy(nx,1) = mpy(nx-1,2)
|
|
|
372 |
mpx(nx,ny) = mpx(nx-1,ny-1)
|
|
|
373 |
mpy(nx,ny) = mpy(nx-1,ny-1)
|
|
|
374 |
mpx(1,ny) = mpx(2,ny-1)
|
|
|
375 |
mpy(1,ny) = mpy(2,ny-1)
|
|
|
376 |
|
|
|
377 |
c Write some status information
|
| 15 |
michaesp |
378 |
print*,'---- MAPPING SCALE FACTORS -----------------------------'
|
| 2 |
michaesp |
379 |
print*
|
|
|
380 |
|
|
|
381 |
scale_max = mpx(1,1)
|
|
|
382 |
scale_min = mpx(1,1)
|
|
|
383 |
do i=1,nx
|
|
|
384 |
do j=1,ny
|
|
|
385 |
if ( mpx(i,j).gt.scale_max ) scale_max = mpx(i,j)
|
|
|
386 |
if ( mpx(i,j).lt.scale_min ) scale_min = mpx(i,j)
|
|
|
387 |
enddo
|
|
|
388 |
enddo
|
|
|
389 |
print*,' map scale x (min,max) : ',scale_min,scale_max
|
|
|
390 |
scale_max = mpy(1,1)
|
|
|
391 |
scale_min = mpy(1,1)
|
|
|
392 |
do i=1,nx
|
|
|
393 |
do j=1,ny
|
|
|
394 |
if ( mpy(i,j).gt.scale_max ) scale_max = mpy(i,j)
|
|
|
395 |
if ( mpy(i,j).lt.scale_min ) scale_min = mpy(i,j)
|
|
|
396 |
enddo
|
|
|
397 |
enddo
|
|
|
398 |
print*,' map scale y (min,max) : ',scale_min,scale_max
|
|
|
399 |
print*
|
|
|
400 |
|
|
|
401 |
c --------------------------------------------------------------------
|
|
|
402 |
c Initialize the trajectory calculation
|
|
|
403 |
c --------------------------------------------------------------------
|
|
|
404 |
|
|
|
405 |
c Read start coordinates from file - Format (x,y,lev)
|
|
|
406 |
if (inpmode.eq.-1) then
|
|
|
407 |
open(fid,file=strname)
|
|
|
408 |
do i=1,ntra
|
|
|
409 |
read(fid,*) xx0(i),yy0(i),pp0(i)
|
|
|
410 |
enddo
|
|
|
411 |
close(fid)
|
|
|
412 |
|
|
|
413 |
c Read start coordinates from trajectory file - check consistency of ref time
|
|
|
414 |
else
|
|
|
415 |
call ropen_tra(cdfid,strname,ntra,1,ncol,reftmp,vars,inpmode)
|
|
|
416 |
call read_tra (cdfid,trainp,ntra,1,ncol,inpmode)
|
|
|
417 |
do i=1,ntra
|
|
|
418 |
time = trainp(i,1,1)
|
|
|
419 |
xx0(i) = trainp(i,1,2)
|
|
|
420 |
yy0(i) = trainp(i,1,3)
|
|
|
421 |
pp0(i) = trainp(i,1,4)
|
|
|
422 |
enddo
|
|
|
423 |
call close_tra(cdfid,inpmode)
|
|
|
424 |
|
|
|
425 |
if ( ( vars(2).ne.'x').and.(vars(3).ne.'y') ) then
|
|
|
426 |
print*,' ERROR: starting positions must be in x/y/z format'
|
|
|
427 |
stop
|
|
|
428 |
endif
|
|
|
429 |
|
|
|
430 |
if ( ( reftime(1).ne.reftmp(1) ).or.
|
|
|
431 |
> ( reftime(2).ne.reftmp(2) ).or.
|
|
|
432 |
> ( reftime(3).ne.reftmp(3) ).or.
|
|
|
433 |
> ( reftime(4).ne.reftmp(4) ).or.
|
|
|
434 |
> ( reftime(5).ne.reftmp(5) ) )
|
|
|
435 |
> then
|
|
|
436 |
print*,' WARNING: Inconsistent reference times'
|
|
|
437 |
write(*,'(5i8)') (reftime(i),i=1,5)
|
|
|
438 |
write(*,'(5i8)') (reftmp (i),i=1,5)
|
|
|
439 |
print*,'Enter a key to proceed...'
|
|
|
440 |
stop
|
|
|
441 |
endif
|
|
|
442 |
endif
|
|
|
443 |
|
|
|
444 |
c Transform start coordinates from index space to WRF grid
|
|
|
445 |
do i=1,ntra
|
|
|
446 |
xx0(i) = xmin + ( xx0(i) - 1. ) * dx
|
|
|
447 |
yy0(i) = ymin + ( yy0(i) - 1. ) * dy
|
|
|
448 |
enddo
|
|
|
449 |
|
|
|
450 |
c Set sign of time range
|
|
|
451 |
reftime(6) = fbflag * reftime(6)
|
|
|
452 |
|
|
|
453 |
c Write some status information
|
|
|
454 |
print*,'---- REFERENCE DATE---------- ---------------------------'
|
|
|
455 |
print*
|
|
|
456 |
print*,' Reference time (year) :',reftime(1)
|
|
|
457 |
print*,' (month) :',reftime(2)
|
|
|
458 |
print*,' (day) :',reftime(3)
|
|
|
459 |
print*,' (hour) :',reftime(4)
|
|
|
460 |
print*,' (min) :',reftime(5)
|
|
|
461 |
print*,' Time range :',reftime(6),' min'
|
|
|
462 |
print*
|
|
|
463 |
|
|
|
464 |
C Save starting positions
|
|
|
465 |
itim = 1
|
|
|
466 |
do i=1,ntra
|
|
|
467 |
traout(i,itim,1) = 0.
|
|
|
468 |
traout(i,itim,2) = xx0(i)
|
|
|
469 |
traout(i,itim,3) = yy0(i)
|
|
|
470 |
traout(i,itim,4) = pp0(i)
|
|
|
471 |
enddo
|
|
|
472 |
|
|
|
473 |
c Init the flag and the counter for trajectories leaving the domain
|
|
|
474 |
leftcount=0
|
|
|
475 |
do i=1,ntra
|
|
|
476 |
leftflag(i)=0
|
|
|
477 |
enddo
|
|
|
478 |
|
|
|
479 |
C Convert time shifts <tst,ten> from <hh.mm> into fractional time
|
|
|
480 |
call hhmm2frac(tst,frac)
|
|
|
481 |
tst = frac
|
|
|
482 |
call hhmm2frac(ten,frac)
|
|
|
483 |
ten = frac
|
|
|
484 |
|
|
|
485 |
c -----------------------------------------------------------------------
|
|
|
486 |
c Loop to calculate trajectories
|
|
|
487 |
c -----------------------------------------------------------------------
|
|
|
488 |
|
|
|
489 |
c Write some status information
|
|
|
490 |
print*,'---- TRAJECTORIES ----------- ---------------------------'
|
|
|
491 |
print*
|
|
|
492 |
|
|
|
493 |
C Set the time for the first data file (depending on forward/backward mode)
|
|
|
494 |
if (fbflag.eq.1) then
|
|
|
495 |
tstart = -tst
|
|
|
496 |
else
|
|
|
497 |
tstart = tst
|
|
|
498 |
endif
|
|
|
499 |
|
|
|
500 |
c Set the minute counter for output
|
|
|
501 |
wstep = 0
|
|
|
502 |
|
|
|
503 |
c Read wind fields and vertical grid from first file
|
|
|
504 |
filename = prefix//dat(1)
|
|
|
505 |
|
|
|
506 |
call frac2hhmm(tstart,tload)
|
|
|
507 |
|
|
|
508 |
write(*,'(a16,a20,f7.2)') ' (file,time) : ',
|
|
|
509 |
> trim(filename),tload
|
|
|
510 |
|
|
|
511 |
call input_open (fid,filename)
|
|
|
512 |
|
|
|
513 |
varname='U' ! U
|
|
|
514 |
call input_var_wrf(fid,varname,uut1,nx,ny,nz)
|
|
|
515 |
|
|
|
516 |
varname='V' ! V
|
|
|
517 |
call input_var_wrf(fid,varname,vvt1,nx,ny,nz)
|
|
|
518 |
|
|
|
519 |
varname='W' ! W
|
|
|
520 |
call input_var_wrf(fid,varname,wwt1,nx,ny,nz)
|
|
|
521 |
|
|
|
522 |
varname='geopot' ! geopot.height
|
|
|
523 |
call input_var_wrf(fid,varname,p3t1,nx,ny,nz)
|
|
|
524 |
|
|
|
525 |
varname='geopots' ! geopot.height at surface
|
|
|
526 |
call input_var_wrf(fid,varname,spt1,nx,ny,1)
|
|
|
527 |
|
|
|
528 |
call input_close(fid)
|
|
|
529 |
|
|
|
530 |
c Loop over all input files (time step is <timeinc>)
|
|
|
531 |
do itm=1,numdat-1
|
|
|
532 |
|
|
|
533 |
c Calculate actual and next time
|
|
|
534 |
time0 = tstart+real(itm-1)*timeinc*fbflag
|
|
|
535 |
time1 = time0+timeinc*fbflag
|
|
|
536 |
|
|
|
537 |
|
|
|
538 |
c Copy old velocities and pressure fields to new ones
|
|
|
539 |
do i=1,nx*ny*nz
|
|
|
540 |
uut0(i)=uut1(i)
|
|
|
541 |
vvt0(i)=vvt1(i)
|
|
|
542 |
wwt0(i)=wwt1(i)
|
|
|
543 |
p3t0(i)=p3t1(i)
|
|
|
544 |
enddo
|
|
|
545 |
do i=1,nx*ny
|
|
|
546 |
spt0(i)=spt1(i)
|
|
|
547 |
enddo
|
|
|
548 |
|
|
|
549 |
c Read wind fields and surface pressure at next time
|
|
|
550 |
filename = prefix//dat(itm+1)
|
|
|
551 |
|
|
|
552 |
call frac2hhmm(time1,tload)
|
|
|
553 |
write(*,'(a16,a20,f7.2)') ' (file,time) : ',
|
|
|
554 |
> trim(filename),tload
|
|
|
555 |
|
|
|
556 |
call input_open (fid,filename)
|
|
|
557 |
|
|
|
558 |
varname='U' ! U
|
|
|
559 |
call input_var_wrf(fid,varname,uut1,nx,ny,nz)
|
|
|
560 |
|
|
|
561 |
varname='V' ! V
|
|
|
562 |
call input_var_wrf(fid,varname,vvt1,nx,ny,nz)
|
|
|
563 |
|
|
|
564 |
varname='W' ! W
|
|
|
565 |
call input_var_wrf(fid,varname,wwt1,nx,ny,nz)
|
|
|
566 |
|
|
|
567 |
varname='geopot' ! geopot.height
|
|
|
568 |
call input_var_wrf(fid,varname,p3t1,nx,ny,nz)
|
|
|
569 |
|
|
|
570 |
varname='geopots' ! geopot.height
|
|
|
571 |
call input_var_wrf(fid,varname,spt1,nx,ny,1)
|
|
|
572 |
|
|
|
573 |
call input_close(fid)
|
|
|
574 |
|
|
|
575 |
C Determine the first and last loop indices
|
|
|
576 |
if (numdat.eq.2) then
|
|
|
577 |
filo = nint(tst/ts)+1
|
|
|
578 |
lalo = nint((timeinc-ten)/ts)
|
|
|
579 |
elseif ( itm.eq.1 ) then
|
|
|
580 |
filo = nint(tst/ts)+1
|
|
|
581 |
lalo = nint(timeinc/ts)
|
|
|
582 |
else if (itm.eq.numdat-1) then
|
|
|
583 |
filo = 1
|
|
|
584 |
lalo = nint((timeinc-ten)/ts)
|
|
|
585 |
else
|
|
|
586 |
filo = 1
|
|
|
587 |
lalo = nint(timeinc/ts)
|
|
|
588 |
endif
|
|
|
589 |
|
|
|
590 |
c Split the interval <timeinc> into computational time steps <ts>
|
|
|
591 |
do iloop=filo,lalo
|
|
|
592 |
|
|
|
593 |
C Calculate relative time position in the interval timeinc (0=beginning, 1=end)
|
|
|
594 |
reltpos0 = ((real(iloop)-1.)*ts)/timeinc
|
|
|
595 |
reltpos1 = real(iloop)*ts/timeinc
|
|
|
596 |
|
|
|
597 |
C Initialize counter for domain leaving trajectories
|
|
|
598 |
leftcount=0
|
|
|
599 |
|
|
|
600 |
c Timestep for all trajectories
|
|
|
601 |
do i=1,ntra
|
|
|
602 |
|
|
|
603 |
C Check if trajectory has already left the data domain
|
|
|
604 |
if (leftflag(i).ne.1) then
|
|
|
605 |
|
|
|
606 |
c Iterative Euler timestep (x0,y0,p0 -> x1,y1,p1)
|
|
|
607 |
call euler(
|
|
|
608 |
> xx1,yy1,pp1,leftflag(i),
|
|
|
609 |
> xx0(i),yy0(i),pp0(i),reltpos0,reltpos1,
|
|
|
610 |
> ts*3600,numit,jflag,mdv,wfactor,fbflag,
|
|
|
611 |
> spt0,spt1,p3t0,p3t1,uut0,uut1,vvt0,vvt1,wwt0,wwt1,
|
|
|
612 |
> xmin,ymin,dx,dy,per,hem,nx,ny,nz,mpx,mpy)
|
|
|
613 |
|
|
|
614 |
c Update trajectory position, or increase number of trajectories leaving domain
|
|
|
615 |
if (leftflag(i).eq.1) then
|
|
|
616 |
leftcount=leftcount+1
|
|
|
617 |
if ( leftcount.lt.10 ) then
|
|
|
618 |
print*,' -> Trajectory ',i,' leaves domain'
|
|
|
619 |
elseif ( leftcount.eq.10 ) then
|
|
|
620 |
print*,' -> N>=10 trajectories leave domain'
|
|
|
621 |
endif
|
|
|
622 |
else
|
|
|
623 |
xx0(i)=xx1
|
|
|
624 |
yy0(i)=yy1
|
|
|
625 |
pp0(i)=pp1
|
|
|
626 |
endif
|
|
|
627 |
|
|
|
628 |
c Trajectory has already left data domain (mark as <mdv>)
|
|
|
629 |
else
|
|
|
630 |
xx0(i)=mdv
|
|
|
631 |
yy0(i)=mdv
|
|
|
632 |
pp0(i)=mdv
|
|
|
633 |
|
|
|
634 |
endif
|
|
|
635 |
|
|
|
636 |
enddo
|
|
|
637 |
|
|
|
638 |
C Save positions only every deltout minutes
|
|
|
639 |
delta = aint(iloop*60*ts/deltout)-iloop*60*ts/deltout
|
|
|
640 |
if (abs(delta).lt.eps) then
|
|
|
641 |
time = time0+reltpos1*timeinc*fbflag
|
|
|
642 |
itim = itim + 1
|
|
|
643 |
do i=1,ntra
|
|
|
644 |
call frac2hhmm(time,tload)
|
|
|
645 |
traout(i,itim,1) = tload
|
|
|
646 |
traout(i,itim,2) = xx0(i)
|
|
|
647 |
traout(i,itim,3) = yy0(i)
|
|
|
648 |
traout(i,itim,4) = pp0(i)
|
|
|
649 |
enddo
|
|
|
650 |
endif
|
|
|
651 |
|
|
|
652 |
enddo
|
|
|
653 |
|
|
|
654 |
enddo
|
|
|
655 |
|
|
|
656 |
c Transform trajectory position from WRF grid do grid index
|
|
|
657 |
do i=1,ntra
|
|
|
658 |
do j=1,ntim
|
|
|
659 |
traout(i,j,2) = ( traout(i,j,2) - xmin ) / dx + 1.
|
|
|
660 |
traout(i,j,3) = ( traout(i,j,3) - ymin ) / dy + 1.
|
|
|
661 |
enddo
|
|
|
662 |
enddo
|
|
|
663 |
|
|
|
664 |
c Write trajectory file
|
|
|
665 |
vars(1) ='time'
|
|
|
666 |
vars(2) ='x'
|
|
|
667 |
vars(3) ='y'
|
|
|
668 |
vars(4) ='z'
|
|
|
669 |
call wopen_tra(cdfid,cdfname,ntra,ntim,4,reftime,vars,outmode)
|
|
|
670 |
call write_tra(cdfid,traout,ntra,ntim,4,outmode)
|
|
|
671 |
call close_tra(cdfid,outmode)
|
|
|
672 |
|
|
|
673 |
c Write some status information, and end of program message
|
|
|
674 |
print*
|
|
|
675 |
print*,'---- STATUS INFORMATION --------------------------------'
|
|
|
676 |
print*
|
|
|
677 |
print*,' #leaving domain ', leftcount
|
|
|
678 |
print*,' #staying in domain ', ntra-leftcount
|
|
|
679 |
print*
|
|
|
680 |
print*,' *** END OF PROGRAM CALTRA ***'
|
|
|
681 |
print*,'========================================================='
|
|
|
682 |
|
|
|
683 |
stop
|
|
|
684 |
|
|
|
685 |
c ------------------------------------------------------------------
|
|
|
686 |
c Exception handling
|
|
|
687 |
c ------------------------------------------------------------------
|
|
|
688 |
|
|
|
689 |
991 write(*,*) '*** ERROR: all start points outside the data domain'
|
|
|
690 |
call exit(1)
|
|
|
691 |
|
|
|
692 |
992 write(*,*) '*** ERROR: close arrays on files (prog. closear)'
|
|
|
693 |
call exit(1)
|
|
|
694 |
|
|
|
695 |
993 write(*,*) '*** ERROR: problems with array size'
|
|
|
696 |
call exit(1)
|
|
|
697 |
|
|
|
698 |
end
|
|
|
699 |
|
|
|
700 |
|
|
|
701 |
c *******************************************************************
|
|
|
702 |
c * Time step : either Euler or Runge-Kutta *
|
|
|
703 |
c *******************************************************************
|
|
|
704 |
|
|
|
705 |
C Time-step from (x0,y0,p0) to (x1,y1,p1)
|
|
|
706 |
C
|
|
|
707 |
C (x0,y0,p0) input coordinates (long,lat,p) for starting point
|
|
|
708 |
C (x1,y1,p1) output coordinates (long,lat,p) for end point
|
|
|
709 |
C deltat input timestep in seconds
|
|
|
710 |
C numit input number of iterations
|
|
|
711 |
C jump input flag (=1 trajectories don't enter the ground)
|
|
|
712 |
C left output flag (=1 if trajectory leaves data domain)
|
|
|
713 |
|
|
|
714 |
c -------------------------------------------------------------------
|
|
|
715 |
c Iterative Euler time step
|
|
|
716 |
c -------------------------------------------------------------------
|
|
|
717 |
|
|
|
718 |
subroutine euler(x1,y1,p1,left,x0,y0,p0,reltpos0,reltpos1,
|
|
|
719 |
> deltat,numit,jump,mdv,wfactor,fbflag,
|
|
|
720 |
> spt0,spt1,p3d0,p3d1,uut0,uut1,vvt0,vvt1,wwt0,wwt1,
|
|
|
721 |
> xmin,ymin,dx,dy,per,hem,nx,ny,nz,mpx,mpy)
|
|
|
722 |
|
|
|
723 |
implicit none
|
|
|
724 |
|
| 11 |
michaesp |
725 |
c Flag for test mode
|
|
|
726 |
integer test
|
|
|
727 |
parameter (test=0)
|
|
|
728 |
|
| 2 |
michaesp |
729 |
c Declaration of subroutine parameters
|
|
|
730 |
integer nx,ny,nz
|
|
|
731 |
real x1,y1,p1
|
|
|
732 |
integer left
|
|
|
733 |
real x0,y0,p0
|
|
|
734 |
real reltpos0,reltpos1
|
|
|
735 |
real deltat
|
|
|
736 |
integer numit
|
|
|
737 |
integer jump
|
|
|
738 |
real wfactor
|
|
|
739 |
integer fbflag
|
|
|
740 |
real spt0(nx*ny) ,spt1(nx*ny)
|
|
|
741 |
real uut0(nx*ny*nz),uut1(nx*ny*nz)
|
|
|
742 |
real vvt0(nx*ny*nz),vvt1(nx*ny*nz)
|
|
|
743 |
real wwt0(nx*ny*nz),wwt1(nx*ny*nz)
|
|
|
744 |
real p3d0(nx*ny*nz),p3d1(nx*ny*nz)
|
|
|
745 |
real xmin,ymin,dx,dy
|
|
|
746 |
integer per
|
|
|
747 |
integer hem
|
|
|
748 |
real mdv
|
|
|
749 |
real mpx(nx*ny),mpy(nx*ny)
|
|
|
750 |
|
|
|
751 |
c Auxiliary variables
|
|
|
752 |
real xmax,ymax
|
|
|
753 |
real xind,yind,pind
|
|
|
754 |
|
|
|
755 |
real u0,v0,w0,u1,v1,w1,u,v,w,sp
|
|
|
756 |
integer icount
|
|
|
757 |
character ch
|
|
|
758 |
real mpsc_x,mpsc_y
|
|
|
759 |
|
|
|
760 |
c Externals
|
|
|
761 |
real int_index4
|
|
|
762 |
external int_index4
|
|
|
763 |
|
|
|
764 |
c Reset the flag for domain-leaving
|
|
|
765 |
left=0
|
|
|
766 |
|
|
|
767 |
c Set the esat-north boundary of the domain
|
|
|
768 |
xmax = xmin+real(nx-1)*dx
|
|
|
769 |
ymax = ymin+real(ny-1)*dy
|
|
|
770 |
|
|
|
771 |
C Interpolate wind fields to starting position (x0,y0,p0)
|
|
|
772 |
call get_index4 (xind,yind,pind,x0,y0,p0,reltpos0,
|
|
|
773 |
> p3d0,p3d1,spt0,spt1,3,
|
|
|
774 |
> nx,ny,nz,xmin,ymin,dx,dy,mdv)
|
|
|
775 |
|
|
|
776 |
u0 = int_index4(uut0,uut1,nx,ny,nz,xind,yind,pind,reltpos0,mdv)
|
|
|
777 |
v0 = int_index4(vvt0,vvt1,nx,ny,nz,xind,yind,pind,reltpos0,mdv)
|
|
|
778 |
w0 = int_index4(wwt0,wwt1,nx,ny,nz,xind,yind,pind,reltpos0,mdv)
|
|
|
779 |
|
|
|
780 |
c Force the near-surface wind to zero
|
|
|
781 |
if (pind.lt.1.) w0=w0*pind
|
|
|
782 |
|
|
|
783 |
C For first iteration take ending position equal to starting position
|
|
|
784 |
x1=x0
|
|
|
785 |
y1=y0
|
|
|
786 |
p1=p0
|
|
|
787 |
|
|
|
788 |
C Iterative calculation of new position
|
|
|
789 |
do icount=1,numit
|
|
|
790 |
|
|
|
791 |
C Calculate new winds for advection
|
|
|
792 |
call get_index4 (xind,yind,pind,x1,y1,p1,reltpos1,
|
|
|
793 |
> p3d0,p3d1,spt0,spt1,3,
|
|
|
794 |
> nx,ny,nz,xmin,ymin,dx,dy,mdv)
|
|
|
795 |
u1 = int_index4(uut0,uut1,nx,ny,nz,xind,yind,pind,reltpos1,mdv)
|
|
|
796 |
v1 = int_index4(vvt0,vvt1,nx,ny,nz,xind,yind,pind,reltpos1,mdv)
|
|
|
797 |
w1 = int_index4(wwt0,wwt1,nx,ny,nz,xind,yind,pind,reltpos1,mdv)
|
|
|
798 |
|
|
|
799 |
c Force the near-surface wind to zero
|
|
|
800 |
if (pind.lt.1.) w1=w1*pind
|
|
|
801 |
|
|
|
802 |
c Get the new velocity in between
|
|
|
803 |
u=(u0+u1)/2.
|
|
|
804 |
v=(v0+v1)/2.
|
|
|
805 |
w=(w0+w1)/2.
|
|
|
806 |
|
|
|
807 |
c Get the mapping scale factors for this position
|
|
|
808 |
mpsc_x = int_index4 (mpx,mpx,nx,ny,1,xind,yind,1.,reltpos1,mdv)
|
|
|
809 |
mpsc_y = int_index4 (mpy,mpy,nx,ny,1,xind,yind,1.,reltpos1,mdv)
|
|
|
810 |
|
|
|
811 |
C Calculate new positions (adapted for cartesian grid)
|
|
|
812 |
x1 = x0 + fbflag * deltat * u * dx/mpsc_x
|
|
|
813 |
y1 = y0 + fbflag * deltat * v * dy/mpsc_y
|
|
|
814 |
p1 = p0 + fbflag * deltat * w * wfactor
|
|
|
815 |
|
| 11 |
michaesp |
816 |
c Write the update positions for tests
|
|
|
817 |
if ( (icount.eq.3).and.(test.eq.1) ) then
|
|
|
818 |
write(*,'(10f10.2)') x0,u,x1-x0,p0,w,p1-p0
|
|
|
819 |
endif
|
|
|
820 |
|
| 2 |
michaesp |
821 |
C Interpolate surface geop.height to actual position
|
|
|
822 |
call get_index4 (xind,yind,pind,x1,y1,0.,reltpos1,
|
|
|
823 |
> p3d0,p3d1,spt0,spt1,3,
|
|
|
824 |
> nx,ny,nz,xmin,ymin,dx,dy,mdv)
|
|
|
825 |
sp = int_index4 (spt0,spt1,nx,ny,1,xind,yind,1.,reltpos1,mdv)
|
|
|
826 |
|
|
|
827 |
c Handle trajectories which cross the lower boundary (jump flag)
|
|
|
828 |
if ((jump.eq.1).and.(p1.lt.sp)) p1=sp+10.
|
|
|
829 |
|
|
|
830 |
c Handle periodioc boundaries for 'ideal' mode
|
|
|
831 |
if ( per.eq.1 ) then
|
|
|
832 |
if ( x1.gt.xmax ) x1=x1-xmax
|
|
|
833 |
if ( x1.lt.xmin ) x1=x1+xmax
|
|
|
834 |
endif
|
|
|
835 |
|
|
|
836 |
C Check if trajectory leaves data domain
|
|
|
837 |
if ( (x1.lt.xmin).or.(x1.gt.xmax).or.
|
|
|
838 |
> (y1.lt.ymin).or.(y1.gt.ymax).or.(p1.lt.sp) ) ! geopot : .lt. ; pressure: .gt.
|
|
|
839 |
> then
|
|
|
840 |
left=1
|
|
|
841 |
print*,x1,y1,p1
|
|
|
842 |
print*,xmin,ymin
|
|
|
843 |
print*,xmax,ymax
|
|
|
844 |
print*,sp
|
|
|
845 |
goto 100
|
|
|
846 |
endif
|
|
|
847 |
|
|
|
848 |
enddo
|
|
|
849 |
|
|
|
850 |
c Exit point for subroutine
|
|
|
851 |
100 continue
|
|
|
852 |
|
|
|
853 |
return
|
|
|
854 |
|
|
|
855 |
end
|
|
|
856 |
|
|
|
857 |
|
|
|
858 |
c ----------------------------------------------------------------------
|
|
|
859 |
c Get spherical distance between lat/lon points
|
|
|
860 |
c ----------------------------------------------------------------------
|
|
|
861 |
|
|
|
862 |
real function sdis(xp,yp,xq,yq,unit)
|
|
|
863 |
|
|
|
864 |
c Calculates spherical distance (in km) between two points given
|
|
|
865 |
c by their spherical coordinates (xp,yp) and (xq,yq), respectively.
|
|
|
866 |
|
|
|
867 |
real,parameter :: re=6371.229
|
|
|
868 |
real,parameter :: rad2deg=180./3.14159265
|
|
|
869 |
real,parameter :: deg2rad=3.141592654/180.
|
|
|
870 |
|
|
|
871 |
real xp,yp,xq,yq,arg
|
|
|
872 |
character*80 unit
|
|
|
873 |
real dlon,dlat,alpha,rlat1,ralt2
|
|
|
874 |
|
|
|
875 |
if ( unit.eq.'km' ) then
|
|
|
876 |
|
| 15 |
michaesp |
877 |
arg=sin(yp*deg2rad)*sin(yq*deg2rad)+
|
|
|
878 |
> cos(yp*deg2rad)*cos(yq*deg2rad)*cos((xp-xq)*deg2rad)
|
| 2 |
michaesp |
879 |
if (arg.lt.-1.) arg=-1.
|
|
|
880 |
if (arg.gt.1.) arg=1.
|
|
|
881 |
sdis=re*acos(arg)
|
|
|
882 |
|
|
|
883 |
elseif ( unit.eq.'deg' ) then
|
|
|
884 |
|
|
|
885 |
dlon = xp-xq
|
|
|
886 |
if ( dlon.gt. 180. ) dlon = dlon - 360.
|
|
|
887 |
if ( dlon.lt.-180. ) dlon = dlon + 360.
|
|
|
888 |
sdis = sqrt( dlon**2 + (yp-yq)**2 )
|
|
|
889 |
|
|
|
890 |
elseif ( unit.eq.'km.haversine' ) then
|
|
|
891 |
|
|
|
892 |
dlat = (yp - yq)*deg2rad
|
|
|
893 |
dlon = (xp - xq)*deg2rad
|
|
|
894 |
rlat1 = yp*deg2rad
|
|
|
895 |
rlat2 = yq*deg2rad
|
|
|
896 |
|
|
|
897 |
alpha = ( sin(0.5*dlat)**2 ) +
|
|
|
898 |
> ( sin(0.5*dlon)**2 )*cos(rlat1)*cos(rlat2)
|
|
|
899 |
|
|
|
900 |
sdis = 4. * re * atan2( sqrt(alpha),1. + sqrt( 1. - alpha ) )
|
|
|
901 |
|
|
|
902 |
endif
|
|
|
903 |
|
|
|
904 |
end
|