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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 Numerical method for the integration (0=iterative Euler, 1=Runge-Kutta)
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integer imethod
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parameter (imethod=1)
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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 --------------------------------------------------------------------
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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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real per ! Periodicity (=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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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,zz0 ! Position of air parcels
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integer,allocatable, dimension (:) :: leftflag ! Flag for domain-leaving
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real xx1,yy1,zz1 ! 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 current
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real,allocatable, dimension (:) :: vvt0,vvt1 ! Meridional current
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real,allocatable, dimension (:) :: wwt0,wwt1 ! Vertical current
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real,allocatable, dimension (:) :: topo ! Bathymetrie
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real,allocatable, dimension (:) :: z,zb ! 3d / surface height
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real,allocatable, dimension (:) :: dummy2 ! 2d dummy array
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c Grid description
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real pollon,pollat ! Longitude/latitude of pole
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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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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,bid
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real tstart,time0,time1,time
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real reltpos0,reltpos1
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real xind,yind,zind,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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real x1,y1,z1
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real tmp1,tmp2
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c Index variables
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integer c100,c010,c001
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integer c200,c002,ii
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logical uflag,vflag
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c Externals
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real int_index4
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external int_index4
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real int_index3
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external int_index3
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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 current (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 : (lon,lat,height)-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*,' Numerical scheme : ',imethod
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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 (-fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,
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> tload,pollon,pollat,rd,rd,nz,rd,timecheck)
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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 periodic data set (hemispheric or not)
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hem = 0
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if (per.eq.0.) then
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delta=xmax-xmin-360.
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if (abs(delta+dx).lt.eps) then ! Program aborts: arrays must be closed
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goto 992
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else if (abs(delta).lt.eps) then ! Periodic and hemispheric
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hem=1
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per=360.
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endif
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else ! Periodic and hemispheric
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hem=1
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endif
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C Allocate memory for some meteorological arrays
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allocate(zb(nx*ny),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array spt0 ***' ! Surface height
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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 current
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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 current
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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 current
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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(topo(nx*ny*nz),stat=stat) ! Bathymetrie
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if (stat.ne.0) print*,'*** error allocating array p3t1 ***'
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allocate(z(nx*ny*nz),stat=stat) ! 3d height
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if (stat.ne.0) print*,'*** error allocating array p3t1 ***'
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c Auxillary
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allocate(dummy2(nx*ny),stat=stat)
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if (stat.ne.0) print*,'*** error allocating array dummy2 ***'
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C Get memory for trajectory arrays
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311 |
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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313 |
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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315 |
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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317 |
allocate(yy0(ntra),stat=stat)
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318 |
if (stat.ne.0) print*,'*** error allocating array yy0 ***' ! Y position (latitude)
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319 |
allocate(zz0(ntra),stat=stat)
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320 |
if (stat.ne.0) print*,'*** error allocating array zz0 ***' ! Pressure
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321 |
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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print*,'---- CONSTANT GRID PARAMETERS ---------------------------'
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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*,' pollon,pollat : ',pollon,pollat
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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 Initialize the trajectory calculation
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c --------------------------------------------------------------------
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338 |
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339 |
c Read start coordinates from file - Format (lon,lat,lev)
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340 |
if (inpmode.eq.-1) then
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341 |
open(fid,file=strname)
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342 |
do i=1,ntra
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343 |
read(fid,*) xx0(i),yy0(i),zz0(i)
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enddo
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close(fid)
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346 |
c Read start coordinates from trajectory file - check consistency of ref time
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347 |
else
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348 |
print*,'Hallo', ntra,ncol
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349 |
call ropen_tra(cdfid,strname,ntra,1,ncol,reftmp,vars,inpmode)
|
|
|
350 |
call read_tra (cdfid,trainp,ntra,1,ncol,inpmode)
|
|
|
351 |
do i=1,ntra
|
|
|
352 |
time = trainp(i,1,1)
|
|
|
353 |
xx0(i) = trainp(i,1,2)
|
|
|
354 |
yy0(i) = trainp(i,1,3)
|
|
|
355 |
zz0(i) = trainp(i,1,4)
|
|
|
356 |
enddo
|
|
|
357 |
call close_tra(cdfid,inpmode)
|
|
|
358 |
|
|
|
359 |
if ( ( reftime(1).ne.reftmp(1) ).or.
|
|
|
360 |
> ( reftime(2).ne.reftmp(2) ).or.
|
|
|
361 |
> ( reftime(3).ne.reftmp(3) ).or.
|
|
|
362 |
> ( reftime(4).ne.reftmp(4) ).or.
|
|
|
363 |
> ( reftime(5).ne.reftmp(5) ) )
|
|
|
364 |
> then
|
|
|
365 |
print*,' WARNING: Inconsistent reference times'
|
|
|
366 |
write(*,'(5i8)') (reftime(i),i=1,5)
|
|
|
367 |
write(*,'(5i8)') (reftmp (i),i=1,5)
|
|
|
368 |
print*,'Enter a key to proceed...'
|
|
|
369 |
stop
|
|
|
370 |
endif
|
|
|
371 |
endif
|
|
|
372 |
|
|
|
373 |
c Set sign of time range
|
|
|
374 |
reftime(6) = fbflag * reftime(6)
|
|
|
375 |
|
|
|
376 |
c Write some status information
|
|
|
377 |
print*,'---- REFERENCE DATE---------- ---------------------------'
|
|
|
378 |
print*
|
|
|
379 |
print*,' Reference time (year) :',reftime(1)
|
|
|
380 |
print*,' (month) :',reftime(2)
|
|
|
381 |
print*,' (day) :',reftime(3)
|
|
|
382 |
print*,' (hour) :',reftime(4)
|
|
|
383 |
print*,' (min) :',reftime(5)
|
|
|
384 |
print*,' Time range :',reftime(6),' min'
|
|
|
385 |
print*
|
|
|
386 |
|
|
|
387 |
C Save starting positions
|
|
|
388 |
itim = 1
|
|
|
389 |
do i=1,ntra
|
|
|
390 |
traout(i,itim,1) = 0.
|
|
|
391 |
traout(i,itim,2) = xx0(i)
|
|
|
392 |
traout(i,itim,3) = yy0(i)
|
|
|
393 |
traout(i,itim,4) = zz0(i)
|
|
|
394 |
enddo
|
|
|
395 |
|
|
|
396 |
c Init the flag and the counter for trajectories leaving the domain
|
|
|
397 |
leftcount=0
|
|
|
398 |
do i=1,ntra
|
|
|
399 |
leftflag(i)=0
|
|
|
400 |
enddo
|
|
|
401 |
|
|
|
402 |
C Convert time shifts <tst,ten> from <hh.mm> into fractional time
|
|
|
403 |
call hhmm2frac(tst,frac)
|
|
|
404 |
tst = frac
|
|
|
405 |
call hhmm2frac(ten,frac)
|
|
|
406 |
ten = frac
|
|
|
407 |
|
|
|
408 |
|
|
|
409 |
c ------- Bathymetrie ---------------------------------------------
|
|
|
410 |
|
|
|
411 |
filename='bath'
|
|
|
412 |
call input_open(bid,filename)
|
|
|
413 |
|
|
|
414 |
c //repeat is a gfortran work around because input assumes len=80
|
|
|
415 |
print*," Read bathymetrie: BATH"
|
|
|
416 |
varname='BATH'
|
|
|
417 |
call input_grid
|
|
|
418 |
> (bid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,
|
|
|
419 |
> 0.,pollon,pollat,topo,dummy2,nz,stagz,timecheck)
|
|
|
420 |
call input_close(bid)
|
|
|
421 |
|
|
|
422 |
c ------- Height----------------------------------------------------
|
|
|
423 |
|
|
|
424 |
print*," Read depth: lev"
|
|
|
425 |
filename = prefix//dat(1)
|
|
|
426 |
call input_open (fid,filename)
|
|
|
427 |
varname = 'lev'
|
|
|
428 |
call input_grid
|
|
|
429 |
> (fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,
|
|
|
430 |
> 0,pollon,pollat,z,zb,nz,stagz,timecheck)
|
|
|
431 |
call input_close(fid)
|
|
|
432 |
print*,' zmin,zmax : ',zb(1),z(nx*ny*nz)
|
|
|
433 |
|
|
|
434 |
c -------------------------------------------------------------------
|
|
|
435 |
|
|
|
436 |
c Check that all starting positions are above topography
|
|
|
437 |
c varname = 'P'
|
|
|
438 |
c filename = prefix//dat(1)
|
|
|
439 |
c call input_open (fid,filename)
|
|
|
440 |
c call input_grid
|
|
|
441 |
c > (fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,
|
|
|
442 |
c > tload,pollon,pollat,p3t1,spt1,nz,ak,bk,stagz,timecheck)
|
|
|
443 |
c call input_close(fid)
|
|
|
444 |
|
|
|
445 |
|
|
|
446 |
do i=1,ntra
|
|
|
447 |
|
|
|
448 |
C Interpolate heigt to actual position (from first input file)
|
|
|
449 |
x1 = xx0(i)
|
|
|
450 |
y1 = yy0(i)
|
|
|
451 |
z1 = zz0(i)
|
|
|
452 |
|
|
|
453 |
c call get_index4 (xind,yind,pind,x1,y1,1050.,0.,
|
|
|
454 |
c > p3t1,p3t1,spt1,spt1,3,
|
|
|
455 |
c > nx,ny,nz,xmin,ymin,dx,dy,mdv)
|
|
|
456 |
c sp = int_index4 (spt1,spt1,nx,ny,1,xind,yind,1.,0.,mdv)
|
|
|
457 |
|
|
|
458 |
call get_index3(xind,yind,zind,x1,y1,z1,3,
|
|
|
459 |
> z,zb,nx,ny,nz,xmin,ymin,dx,dy)
|
|
|
460 |
|
|
|
461 |
tmp1 = int_index3 (topo,nx,ny,nz,xind,yind,zind,mdv)
|
|
|
462 |
|
|
|
463 |
c Decide whether to keep the trajectory (vertical check)
|
|
|
464 |
c if ( zz0(i).gt.sp ) then
|
|
|
465 |
if ( abs(tmp1-1.).lt.eps ) then
|
|
|
466 |
|
|
|
467 |
write(*,'(a30,3f10.2)')
|
|
|
468 |
> 'WARNING: starting point inside topography ',
|
|
|
469 |
> xx0(i),yy0(i),zz0(i)
|
|
|
470 |
leftflag(i) = 1
|
|
|
471 |
endif
|
|
|
472 |
|
|
|
473 |
enddo
|
|
|
474 |
|
|
|
475 |
|
|
|
476 |
c -----------------------------------------------------------------------
|
|
|
477 |
c Loop to calculate trajectories
|
|
|
478 |
c -----------------------------------------------------------------------
|
|
|
479 |
|
|
|
480 |
c Write some status information
|
|
|
481 |
print*
|
|
|
482 |
print*,'---- TRAJECTORIES ----------- ---------------------------'
|
|
|
483 |
print*
|
|
|
484 |
|
|
|
485 |
C Set the time for the first data file (depending on forward/backward mode)
|
|
|
486 |
if (fbflag.eq.1) then
|
|
|
487 |
tstart = -tst
|
|
|
488 |
else
|
|
|
489 |
tstart = tst
|
|
|
490 |
endif
|
|
|
491 |
|
|
|
492 |
c Set the minute counter for output
|
|
|
493 |
wstep = 0
|
|
|
494 |
|
|
|
495 |
c Read current fields and vertical grid from first file
|
|
|
496 |
filename = prefix//dat(1)
|
|
|
497 |
|
|
|
498 |
call frac2hhmm(tstart,tload)
|
|
|
499 |
|
|
|
500 |
write(*,'(a16,a20,f10.2)') ' (file,time) : ',
|
|
|
501 |
> trim(filename),tload
|
|
|
502 |
|
|
|
503 |
call input_open (fid,filename)
|
|
|
504 |
varname='U' ! U
|
|
|
505 |
call input_wind
|
|
|
506 |
> (fid,varname,uut1,tload,stagz,mdv,
|
|
|
507 |
> xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)
|
|
|
508 |
varname='V' ! V
|
|
|
509 |
call input_wind
|
|
|
510 |
> (fid,varname,vvt1,tload,stagz,mdv,
|
|
|
511 |
> xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)
|
|
|
512 |
varname='W' ! W
|
|
|
513 |
call input_wind
|
|
|
514 |
> (fid,varname,wwt1,tload,stagz,mdv,
|
|
|
515 |
> xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)
|
|
|
516 |
wwt1=-1.*wwt1 ! depth is reversed on file
|
|
|
517 |
c call input_grid ! GRID
|
|
|
518 |
c > (fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,
|
|
|
519 |
c > tload,pollon,pollat,p3t1,spt1,nz,ak,bk,stagz,timecheck)
|
|
|
520 |
call input_close(fid)
|
|
|
521 |
|
|
|
522 |
|
|
|
523 |
|
|
|
524 |
c ------------------------------------------------------------------
|
|
|
525 |
c Boundary conditions
|
|
|
526 |
c ------------------------------------------------------------------
|
|
|
527 |
print*,' '
|
|
|
528 |
print*,'------------ Boundary conditions ---------------------'
|
|
|
529 |
print*,'Using no-normal boundary conditions: Un/Vn/Wn set to zero'
|
|
|
530 |
print*,'Using no-slip boundary conditions '
|
|
|
531 |
print*,'Trajectories leaving the domain are set to: ',mdv
|
|
|
532 |
|
|
|
533 |
c -------------------- no-normal flow ----------------------------
|
|
|
534 |
|
|
|
535 |
do i=2,nx-1
|
|
|
536 |
do j=2,ny-1
|
|
|
537 |
do k=2,nz-1
|
|
|
538 |
|
|
|
539 |
|
|
|
540 |
c central point
|
|
|
541 |
c010=i+(j-1)*nx+(k-1)*nx*ny
|
|
|
542 |
|
|
|
543 |
c --- set U to zero if neighbour is land point
|
|
|
544 |
c - start with 1 neighbour up to 20 -
|
|
|
545 |
|
|
|
546 |
|
|
|
547 |
c U neighbour U(i+1,j,k)
|
|
|
548 |
c001=i-1+(j-1)*nx+(k-1)*nx*ny
|
|
|
549 |
c U neighbour U(i-1,j,k)
|
|
|
550 |
c100=i+1+(j-1)*nx+(k-1)*nx*ny
|
|
|
551 |
|
|
|
552 |
c if left or right boundary is land (1) set u to zero
|
|
|
553 |
if ((topo(c001).gt.0.5).or.(topo(c100).gt.0.5)) then
|
|
|
554 |
uut1(c010)=0
|
|
|
555 |
end if
|
|
|
556 |
c --- set V to zero if neighbour is land point
|
|
|
557 |
|
|
|
558 |
c V neighbour
|
|
|
559 |
c001=i+(j-1-ii)*nx+(k-1)*nx*ny
|
|
|
560 |
|
|
|
561 |
c V neighbour
|
|
|
562 |
c100=i+(j-1+ii)*nx+(k-1)*nx*ny
|
|
|
563 |
|
|
|
564 |
if ((topo(c001).gt.0.5).or.(topo(c100).gt.0.5)) then
|
|
|
565 |
vvt1(c010)=0
|
|
|
566 |
end if
|
|
|
567 |
|
|
|
568 |
|
|
|
569 |
c --- set W to zero if neighbour is land point
|
|
|
570 |
|
|
|
571 |
c W neighbour
|
|
|
572 |
c001=i+(j-1)*nx+(k-1-1)*nx*ny
|
|
|
573 |
|
|
|
574 |
c W neighbour
|
|
|
575 |
c100=i+(j-1)*nx+(k-1+1)*nx*ny
|
|
|
576 |
|
|
|
577 |
if ((topo(c001).gt.0.5).or.(topo(c100).gt.0.5)) wwt1(c010)=0
|
|
|
578 |
|
|
|
579 |
c ---------- Set no-slip conditions (zero at land) -----------------
|
|
|
580 |
c ghost points are first boundary points
|
|
|
581 |
c ghost points are set to negative of u
|
|
|
582 |
C this yields zero velocity in between the two points at the wall
|
|
|
583 |
|
|
|
584 |
c first bounday points in U direction
|
|
|
585 |
c001=i-1+(j-1)*nx+(k-1)*nx*ny
|
|
|
586 |
c100=i+1+(j-1)*nx+(k-1)*nx*ny
|
|
|
587 |
|
|
|
588 |
if ((topo(c010).gt.0.5).and.((topo(c001).lt.0.5))) then
|
|
|
589 |
uut1(c010)=-uut1(c001)
|
|
|
590 |
elseif ((topo(c010).gt.0.5).and.((topo(c100).lt.0.5))) then
|
|
|
591 |
uut1(c010)=-uut1(c100)
|
|
|
592 |
end if
|
|
|
593 |
|
|
|
594 |
c first bounday points in V direction
|
|
|
595 |
c001=i+(j-1-1)*nx+(k-1)*nx*ny
|
|
|
596 |
c100=i+(j-1+1)*nx+(k-1)*nx*ny
|
|
|
597 |
|
|
|
598 |
if ((topo(c010).gt.0.5).and.((topo(c001).lt.0.5))) then
|
|
|
599 |
vvt1(c010)=-vvt1(c001)
|
|
|
600 |
elseif ((topo(c010).gt.0.5).and.((topo(c100).lt.0.5))) then
|
|
|
601 |
vvt1(c010)=-vvt1(c100)
|
|
|
602 |
end if
|
|
|
603 |
|
|
|
604 |
c first bounday points in W direction
|
|
|
605 |
c001=i+(j-1)*nx+(k-1-1)*nx*ny
|
|
|
606 |
c100=i+(j-1)*nx+(k-1+1)*nx*ny
|
|
|
607 |
|
|
|
608 |
if ((topo(c010).gt.0.5).and.((topo(c001).lt.0.5))) then
|
|
|
609 |
wwt1(c010)=-wwt1(c001)
|
|
|
610 |
elseif ((topo(c010).gt.0.5).and.((topo(c100).lt.0.5))) then
|
|
|
611 |
wwt1(c010)=-wwt1(c100)
|
|
|
612 |
end if
|
|
|
613 |
|
|
|
614 |
end do
|
|
|
615 |
end do
|
|
|
616 |
end do
|
|
|
617 |
|
|
|
618 |
c ------------------------------------------------------------------
|
|
|
619 |
|
|
|
620 |
|
|
|
621 |
c Loop over all input files (time step is <timeinc>)
|
|
|
622 |
do itm=1,numdat-1
|
|
|
623 |
|
|
|
624 |
c Calculate actual and next time
|
|
|
625 |
time0 = tstart+real(itm-1)*timeinc*fbflag
|
|
|
626 |
time1 = time0+timeinc*fbflag
|
|
|
627 |
|
|
|
628 |
c Copy old velocities to new ones
|
|
|
629 |
do i=1,nx*ny*nz
|
|
|
630 |
uut0(i)=uut1(i)
|
|
|
631 |
vvt0(i)=vvt1(i)
|
|
|
632 |
wwt0(i)=wwt1(i)
|
|
|
633 |
enddo
|
|
|
634 |
|
|
|
635 |
|
|
|
636 |
c Read current fields at next time
|
|
|
637 |
filename = prefix//dat(itm+1)
|
|
|
638 |
|
|
|
639 |
call frac2hhmm(time1,tload)
|
|
|
640 |
write(*,'(a16,a20,f10.2)') ' (file,time) : ',
|
|
|
641 |
> trim(filename),tload
|
|
|
642 |
|
|
|
643 |
call input_open (fid,filename)
|
|
|
644 |
varname='U' ! U
|
|
|
645 |
call input_wind
|
|
|
646 |
> (fid,varname,uut1,tload,stagz,mdv,
|
|
|
647 |
> xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)
|
|
|
648 |
varname='V' ! V
|
|
|
649 |
call input_wind
|
|
|
650 |
> (fid,varname,vvt1,tload,stagz,mdv,
|
|
|
651 |
> xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)
|
|
|
652 |
varname='W' ! W
|
|
|
653 |
call input_wind
|
|
|
654 |
> (fid,varname,wwt1,tload,stagz,mdv,
|
|
|
655 |
> xmin,xmax,ymin,ymax,dx,dy,nx,ny,nz,timecheck)
|
|
|
656 |
wwt1=-1.*wwt1 ! depth is reversed on file
|
|
|
657 |
c call input_grid ! GRID
|
|
|
658 |
c > (fid,varname,xmin,xmax,ymin,ymax,dx,dy,nx,ny,
|
|
|
659 |
c > tload,pollon,pollat,p3t1,spt1,nz,ak,bk,stagz,timecheck)
|
|
|
660 |
call input_close(fid)
|
|
|
661 |
|
|
|
662 |
c ------------------------------------------------------------------
|
|
|
663 |
c Boundary conditions
|
|
|
664 |
c ------------------------------------------------------------------
|
|
|
665 |
|
|
|
666 |
do i=2,nx-1
|
|
|
667 |
do j=2,ny-1
|
|
|
668 |
do k=2,nz-1
|
|
|
669 |
|
|
|
670 |
|
|
|
671 |
c ---------- Set component normal to land to zero ------------------
|
|
|
672 |
|
|
|
673 |
c central point
|
|
|
674 |
c010=i+(j-1)*nx+(k-1)*nx*ny
|
|
|
675 |
|
|
|
676 |
c U neighbour U(i+1,j,k)
|
|
|
677 |
c001=i-1+(j-1)*nx+(k-1)*nx*ny
|
|
|
678 |
c U neighbour U(i-1,j,k)
|
|
|
679 |
c100=i+1+(j-1)*nx+(k-1)*nx*ny
|
|
|
680 |
|
|
|
681 |
c if left or right boundary is land (1) set u to zero
|
|
|
682 |
if ((topo(c001).gt.0.5).or.(topo(c100).gt.0.5)) then
|
|
|
683 |
uut1(c010)=0
|
|
|
684 |
end if
|
|
|
685 |
c --- set V to zero if neighbour is land point
|
|
|
686 |
|
|
|
687 |
c V neighbour
|
|
|
688 |
c001=i+(j-1-1)*nx+(k-1)*nx*ny
|
|
|
689 |
|
|
|
690 |
c V neighbour
|
|
|
691 |
c100=i+(j-1+1)*nx+(k-1)*nx*ny
|
|
|
692 |
|
|
|
693 |
if ((topo(c001).gt.0.5).or.(topo(c100).gt.0.5)) then
|
|
|
694 |
vvt1(c010)=0
|
|
|
695 |
end if
|
|
|
696 |
|
|
|
697 |
|
|
|
698 |
c --- set W to zero if neighbour is land point
|
|
|
699 |
|
|
|
700 |
c W neighbour
|
|
|
701 |
c001=i+(j-1)*nx+(k-1-1)*nx*ny
|
|
|
702 |
|
|
|
703 |
c W neighbour
|
|
|
704 |
c100=i+(j-1)*nx+(k-1+1)*nx*ny
|
|
|
705 |
|
|
|
706 |
if ((topo(c001).gt.0.5).or.(topo(c100).gt.0.5)) wwt1(c010)=0
|
|
|
707 |
|
|
|
708 |
c ---------- Set no-slip conditions (zero at land) -----------------
|
|
|
709 |
c ghost points are first boundary points
|
|
|
710 |
c ghost points are set to negative of u
|
|
|
711 |
c this yields zero velocity in between the two points at the wall
|
|
|
712 |
|
|
|
713 |
c first bounday point in U direction
|
|
|
714 |
c001=i-1+(j-1)*nx+(k-1)*nx*ny
|
|
|
715 |
c100=i+1+(j-1)*nx+(k-1)*nx*ny
|
|
|
716 |
|
|
|
717 |
if ((topo(c010).gt.0.5).and.((topo(c001).lt.0.5))) then
|
|
|
718 |
uut1(c010)=-uut1(c001)
|
|
|
719 |
elseif ((topo(c010).gt.0.5).and.((topo(c100).lt.0.5))) then
|
|
|
720 |
uut1(c010)=-uut1(c100)
|
|
|
721 |
end if
|
|
|
722 |
|
|
|
723 |
c first bounday point in V direction
|
|
|
724 |
c001=i+(j-1-1)*nx+(k-1)*nx*ny
|
|
|
725 |
c100=i+(j-1+1)*nx+(k-1)*nx*ny
|
|
|
726 |
|
|
|
727 |
if ((topo(c010).gt.0.5).and.((topo(c001).lt.0.5))) then
|
|
|
728 |
vvt1(c010)=-vvt1(c001)
|
|
|
729 |
elseif ((topo(c010).gt.0.5).and.((topo(c100).lt.0.5))) then
|
|
|
730 |
vvt1(c010)=-vvt1(c100)
|
|
|
731 |
end if
|
|
|
732 |
|
|
|
733 |
c first bounday point in W direction
|
|
|
734 |
c001=i+(j-1)*nx+(k-1-1)*nx*ny
|
|
|
735 |
c100=i+(j-1)*nx+(k-1+1)*nx*ny
|
|
|
736 |
|
|
|
737 |
if ((topo(c010).gt.0.5).and.((topo(c001).lt.0.5))) then
|
|
|
738 |
wwt1(c010)=-wwt1(c001)
|
|
|
739 |
elseif ((topo(c010).gt.0.5).and.((topo(c100).lt.0.5))) then
|
|
|
740 |
wwt1(c010)=-wwt1(c100)
|
|
|
741 |
end if
|
|
|
742 |
|
|
|
743 |
|
|
|
744 |
end do
|
|
|
745 |
end do
|
|
|
746 |
end do
|
|
|
747 |
|
|
|
748 |
|
|
|
749 |
c ------------------------------------------------------------------
|
|
|
750 |
|
|
|
751 |
|
|
|
752 |
C Determine the first and last loop indices
|
|
|
753 |
if (numdat.eq.2) then
|
|
|
754 |
filo = nint(tst/ts)+1
|
|
|
755 |
lalo = nint((timeinc-ten)/ts)
|
|
|
756 |
elseif ( itm.eq.1 ) then
|
|
|
757 |
filo = nint(tst/ts)+1
|
|
|
758 |
lalo = nint(timeinc/ts)
|
|
|
759 |
else if (itm.eq.numdat-1) then
|
|
|
760 |
filo = 1
|
|
|
761 |
lalo = nint((timeinc-ten)/ts)
|
|
|
762 |
else
|
|
|
763 |
filo = 1
|
|
|
764 |
lalo = nint(timeinc/ts)
|
|
|
765 |
endif
|
|
|
766 |
|
|
|
767 |
c Split the interval <timeinc> into computational time steps <ts>
|
|
|
768 |
do iloop=filo,lalo
|
|
|
769 |
|
|
|
770 |
C Calculate relative time position in the interval timeinc (0=beginning, 1=end)
|
|
|
771 |
reltpos0 = ((real(iloop)-1.)*ts)/timeinc
|
|
|
772 |
reltpos1 = real(iloop)*ts/timeinc
|
|
|
773 |
|
|
|
774 |
c Timestep for all trajectories
|
|
|
775 |
do i=1,ntra
|
|
|
776 |
|
|
|
777 |
C Check if trajectory has already left the data domain
|
|
|
778 |
if (leftflag(i).ne.1) then
|
|
|
779 |
|
|
|
780 |
c Iterative Euler timestep (x0,y0,p0 -> x1,y1,p1)
|
|
|
781 |
if (imethod.eq.1) then
|
|
|
782 |
call euler(
|
|
|
783 |
> xx1,yy1,zz1,leftflag(i),
|
|
|
784 |
> xx0(i),yy0(i),zz0(i),reltpos0,reltpos1,
|
|
|
785 |
> ts*3600,numit,jflag,mdv,wfactor,fbflag,
|
|
|
786 |
> zb,zb,z,z,uut0,uut1,vvt0,vvt1,wwt0,wwt1,
|
|
|
787 |
> xmin,ymin,dx,dy,per,hem,nx,ny,nz,topo)
|
|
|
788 |
|
|
|
789 |
c Runge-Kutta timestep (x0,y0,p0 -> x1,y1,p1)
|
|
|
790 |
else if (imethod.eq.2) then
|
|
|
791 |
call runge(
|
|
|
792 |
> xx1,yy1,zz1,leftflag(i),
|
|
|
793 |
> xx0(i),yy0(i),zz0(i),reltpos0,reltpos1,
|
|
|
794 |
> ts*3600,numit,jflag,mdv,wfactor,fbflag,
|
|
|
795 |
> zb,zb,z,z,uut0,uut1,vvt0,vvt1,wwt0,wwt1,
|
|
|
796 |
> xmin,ymin,dx,dy,per,hem,nx,ny,nz)
|
|
|
797 |
|
|
|
798 |
endif
|
|
|
799 |
|
|
|
800 |
|
|
|
801 |
c Update trajectory position, or increase number of trajectories leaving domain
|
|
|
802 |
if (leftflag(i).eq.1) then
|
|
|
803 |
leftcount=leftcount+1
|
|
|
804 |
if ( leftcount.lt.10 ) then
|
|
|
805 |
print*,' -> Trajectory ',i,' leaves domain at:'
|
|
|
806 |
print*,' ',xx1,', ',yy1,', ',zz1
|
|
|
807 |
|
|
|
808 |
elseif ( leftcount.eq.10 ) then
|
|
|
809 |
print*,' -> N>=10 trajectories leave domain'
|
|
|
810 |
endif
|
|
|
811 |
else
|
|
|
812 |
xx0(i)=xx1
|
|
|
813 |
yy0(i)=yy1
|
|
|
814 |
zz0(i)=zz1
|
|
|
815 |
endif
|
|
|
816 |
|
|
|
817 |
c Trajectory has already left data domain (mark as <mdv>)
|
|
|
818 |
else
|
|
|
819 |
xx0(i)=mdv
|
|
|
820 |
yy0(i)=mdv
|
|
|
821 |
zz0(i)=mdv
|
|
|
822 |
|
|
|
823 |
endif
|
|
|
824 |
|
|
|
825 |
enddo
|
|
|
826 |
|
|
|
827 |
C Save positions only every deltout minutes
|
|
|
828 |
delta = aint(iloop*60*ts/deltout)-iloop*60*ts/deltout
|
|
|
829 |
if (abs(delta).lt.eps) then
|
|
|
830 |
c wstep = wstep + abs(ts)
|
|
|
831 |
c if ( mod(wstep,deltout).eq.0 ) then
|
|
|
832 |
time = time0+reltpos1*timeinc*fbflag
|
|
|
833 |
itim = itim + 1
|
|
|
834 |
if ( itim.le.ntim ) then
|
|
|
835 |
do i=1,ntra
|
|
|
836 |
call frac2hhmm(time,tload)
|
|
|
837 |
traout(i,itim,1) = tload
|
|
|
838 |
traout(i,itim,2) = xx0(i)
|
|
|
839 |
traout(i,itim,3) = yy0(i)
|
|
|
840 |
traout(i,itim,4) = zz0(i)
|
|
|
841 |
enddo
|
|
|
842 |
endif
|
|
|
843 |
endif
|
|
|
844 |
|
|
|
845 |
enddo
|
|
|
846 |
|
|
|
847 |
enddo
|
|
|
848 |
|
|
|
849 |
print*,(traout(1,1,i),i=1,4)
|
|
|
850 |
|
|
|
851 |
c Write trajectory file
|
|
|
852 |
vars(1) ='time'
|
|
|
853 |
vars(2) ='lon'
|
|
|
854 |
vars(3) ='lat'
|
|
|
855 |
vars(4) ='depth'
|
|
|
856 |
call wopen_tra(cdfid,cdfname,ntra,ntim,4,reftime,vars,outmode)
|
|
|
857 |
call write_tra(cdfid,traout,ntra,ntim,4,outmode)
|
|
|
858 |
call close_tra(cdfid,outmode)
|
|
|
859 |
|
|
|
860 |
c Write some status information, and end of program message
|
|
|
861 |
print*
|
|
|
862 |
print*,'---- STATUS INFORMATION --------------------------------'
|
|
|
863 |
print*
|
|
|
864 |
print*,' #leaving domain ', leftcount
|
|
|
865 |
print*,' #staying in domain ', ntra-leftcount
|
|
|
866 |
print*
|
|
|
867 |
print*,' *** END OF PROGRAM CALTRA ***'
|
|
|
868 |
print*,'========================================================='
|
|
|
869 |
|
|
|
870 |
stop
|
|
|
871 |
|
|
|
872 |
c ------------------------------------------------------------------
|
|
|
873 |
c Exception handling
|
|
|
874 |
c ------------------------------------------------------------------
|
|
|
875 |
|
|
|
876 |
991 write(*,*) '*** ERROR: all start points outside the data domain'
|
|
|
877 |
call exit(1)
|
|
|
878 |
|
|
|
879 |
992 write(*,*) '*** ERROR: close arrays on files (prog. closear)'
|
|
|
880 |
call exit(1)
|
|
|
881 |
|
|
|
882 |
993 write(*,*) '*** ERROR: problems with array size'
|
|
|
883 |
call exit(1)
|
|
|
884 |
|
|
|
885 |
end
|
|
|
886 |
|
|
|
887 |
|
|
|
888 |
c *******************************************************************
|
|
|
889 |
c * Time step : either Euler or Runge-Kutta *
|
|
|
890 |
c *******************************************************************
|
|
|
891 |
|
|
|
892 |
C Time-step from (x0,y0,z0) to (x1,y1,z1)
|
|
|
893 |
C
|
|
|
894 |
C (x0,y0,z0) input coordinates (long,lat,z) for starting point
|
|
|
895 |
C (x1,y1,z1) output coordinates (long,lat,z) for end point
|
|
|
896 |
C deltat input timestep in seconds
|
|
|
897 |
C numit input number of iterations
|
|
|
898 |
C jump input flag (=1 trajectories don't enter the ground)
|
|
|
899 |
C left output flag (=1 if trajectory leaves data domain)
|
|
|
900 |
|
|
|
901 |
c -------------------------------------------------------------------
|
|
|
902 |
c Iterative Euler time step
|
|
|
903 |
c -------------------------------------------------------------------
|
|
|
904 |
|
|
|
905 |
subroutine euler(x1,y1,z1,left,x0,y0,z0,reltpos0,reltpos1,
|
|
|
906 |
> deltat,numit,jump,mdv,wfactor,fbflag,
|
|
|
907 |
> zbt0,zbt1,zt0,zt1,uut0,uut1,vvt0,vvt1,wwt0,wwt1,
|
|
|
908 |
> xmin,ymin,dx,dy,per,hem,nx,ny,nz,topo)
|
|
|
909 |
|
|
|
910 |
implicit none
|
|
|
911 |
|
|
|
912 |
c Declaration of subroutine parameters
|
|
|
913 |
integer nx,ny,nz
|
|
|
914 |
real x1,y1,z1
|
|
|
915 |
integer left
|
|
|
916 |
real x0,y0,z0
|
|
|
917 |
real reltpos0,reltpos1
|
|
|
918 |
real deltat
|
|
|
919 |
integer numit
|
|
|
920 |
integer jump
|
|
|
921 |
real wfactor
|
|
|
922 |
integer fbflag
|
|
|
923 |
real zbt0(nx*ny) ,zbt1(nx*ny)
|
|
|
924 |
real uut0(nx*ny*nz),uut1(nx*ny*nz)
|
|
|
925 |
real vvt0(nx*ny*nz),vvt1(nx*ny*nz)
|
|
|
926 |
real wwt0(nx*ny*nz),wwt1(nx*ny*nz)
|
|
|
927 |
real zt0(nx*ny*nz),zt1(nx*ny*nz)
|
|
|
928 |
real topo(nx*ny*nz)
|
|
|
929 |
real xmin,ymin,dx,dy
|
|
|
930 |
real per
|
|
|
931 |
integer hem
|
|
|
932 |
real mdv
|
|
|
933 |
real tmp1
|
|
|
934 |
|
|
|
935 |
c Numerical and physical constants
|
|
|
936 |
real deltay
|
|
|
937 |
parameter (deltay=1.112E5) ! Distance in m between 2 lat circles
|
|
|
938 |
real pi
|
|
|
939 |
parameter (pi=3.1415927) ! Pi
|
|
|
940 |
|
|
|
941 |
c Auxiliary variables
|
|
|
942 |
real xmax,ymax
|
|
|
943 |
real xind,yind,zind
|
|
|
944 |
real u0,v0,w0,u1,v1,w1,u,v,w,sp
|
|
|
945 |
integer icount
|
|
|
946 |
character ch
|
|
|
947 |
|
|
|
948 |
c Externals
|
|
|
949 |
real int_index4
|
|
|
950 |
external int_index4
|
|
|
951 |
real int_index3
|
|
|
952 |
external int_index3
|
|
|
953 |
|
|
|
954 |
c Reset the flag for domain-leaving
|
|
|
955 |
left=0
|
|
|
956 |
|
|
|
957 |
c Set the esat-north bounray of the domain
|
|
|
958 |
xmax = xmin+real(nx-1)*dx
|
|
|
959 |
ymax = ymin+real(ny-1)*dy
|
|
|
960 |
|
|
|
961 |
C Interpolate current fields to starting position (x0,y0,z0)
|
|
|
962 |
call get_index4 (xind,yind,zind,x0,y0,z0,reltpos0,
|
|
|
963 |
> zt0,zt1,zbt0,zbt1,3,
|
|
|
964 |
> nx,ny,nz,xmin,ymin,dx,dy,mdv)
|
|
|
965 |
u0 = int_index4(uut0,uut1,nx,ny,nz,xind,yind,zind,reltpos0,mdv)
|
|
|
966 |
v0 = int_index4(vvt0,vvt1,nx,ny,nz,xind,yind,zind,reltpos0,mdv)
|
|
|
967 |
C w is reversed to fit depth coordinate, hence mdv is reversed here
|
|
|
968 |
w0 = int_index4(wwt0,wwt1,nx,ny,nz,xind,yind,zind,reltpos0,-1*mdv)
|
|
|
969 |
|
|
|
970 |
c Force the near-surface current to no slip conditions
|
|
|
971 |
if (zind.lt.1.) w0=w0*((zind-0.5)/0.5)
|
|
|
972 |
|
|
|
973 |
C For first iteration take ending position equal to starting position
|
|
|
974 |
x1=x0
|
|
|
975 |
y1=y0
|
|
|
976 |
z1=z0
|
|
|
977 |
|
|
|
978 |
C Iterative calculation of new position
|
|
|
979 |
do icount=1,numit
|
|
|
980 |
|
|
|
981 |
C Calculate new currents for advection
|
|
|
982 |
call get_index4 (xind,yind,zind,x1,y1,z1,reltpos1,
|
|
|
983 |
> zt0,zt1,zbt0,zbt1,3,
|
|
|
984 |
> nx,ny,nz,xmin,ymin,dx,dy,mdv)
|
|
|
985 |
u1= int_index4(uut0,uut1,nx,ny,nz,xind,yind,zind,reltpos1,mdv)
|
|
|
986 |
v1= int_index4(vvt0,vvt1,nx,ny,nz,xind,yind,zind,reltpos1,mdv)
|
|
|
987 |
w1= int_index4(wwt0,wwt1,nx,ny,nz,xind,yind,zind,reltpos1,-1*mdv)
|
|
|
988 |
|
|
|
989 |
|
|
|
990 |
c Force the near-surface current to no-slip condition
|
|
|
991 |
if (zind.lt.1.) w1=w1*((zind-0.5)/0.5)
|
|
|
992 |
|
|
|
993 |
|
|
|
994 |
c Get the new velocity in between
|
|
|
995 |
u=(u0+u1)/2.
|
|
|
996 |
v=(v0+v1)/2.
|
|
|
997 |
w=(w0+w1)/2.
|
|
|
998 |
|
|
|
999 |
C Calculate new positions
|
|
|
1000 |
x1 = x0 + fbflag*u*deltat/(deltay*cos(y0*pi/180.))
|
|
|
1001 |
y1 = y0 + fbflag*v*deltat/deltay
|
|
|
1002 |
z1 = z0 + fbflag*wfactor*w*deltat
|
|
|
1003 |
|
|
|
1004 |
c Handle pole problems (crossing and near pole trajectory)
|
|
|
1005 |
if ((hem.eq.1).and.(y1.gt.90.)) then
|
|
|
1006 |
y1=180.-y1
|
|
|
1007 |
x1=x1+per/2.
|
|
|
1008 |
endif
|
|
|
1009 |
if ((hem.eq.1).and.(y1.lt.-90.)) then
|
|
|
1010 |
y1=-180.-y1
|
|
|
1011 |
x1=x1+per/2.
|
|
|
1012 |
endif
|
|
|
1013 |
if (y1.gt.89.99) then
|
|
|
1014 |
y1=89.99
|
|
|
1015 |
endif
|
|
|
1016 |
|
|
|
1017 |
c Handle crossings of the dateline
|
|
|
1018 |
if ((hem.eq.1).and.(x1.gt.xmin+per-dx)) then
|
|
|
1019 |
x1=xmin+amod(x1-xmin,per)
|
|
|
1020 |
endif
|
|
|
1021 |
if ((hem.eq.1).and.(x1.lt.xmin)) then
|
|
|
1022 |
x1=xmin+per+amod(x1-xmin,per)
|
|
|
1023 |
endif
|
|
|
1024 |
|
|
|
1025 |
C Interpolate surface height to actual position
|
|
|
1026 |
call get_index4 (xind,yind,zind,x1,y1,0.,reltpos1,
|
|
|
1027 |
> zt0,zt1,zbt0,zbt1,3,
|
|
|
1028 |
> nx,ny,nz,xmin,ymin,dx,dy,mdv)
|
|
|
1029 |
sp = int_index4 (zbt0,zbt1,nx,ny,1,xind,yind,1.,reltpos1,mdv)
|
|
|
1030 |
|
|
|
1031 |
c Handle trajectories which cross the lower boundary (jump flag +0.1m)
|
|
|
1032 |
if ((jump.eq.1).and.(z1.lt.sp)) z1=sp+0.1
|
|
|
1033 |
|
|
|
1034 |
C Check if trajectory leaves data domain
|
|
|
1035 |
if ( ( (hem.eq.0).and.(x1.lt.xmin) ).or.
|
|
|
1036 |
> ( (hem.eq.0).and.(x1.gt.xmax-dx) ).or.
|
|
|
1037 |
> (y1.lt.ymin).or.(y1.gt.ymax).or.(z1.lt.sp) )
|
|
|
1038 |
> then
|
|
|
1039 |
left=1
|
|
|
1040 |
goto 100
|
|
|
1041 |
endif
|
|
|
1042 |
|
|
|
1043 |
c Check if trajectory hits topograpy (1=land/0=ocean)
|
|
|
1044 |
if ( left/=1 ) then
|
|
|
1045 |
call get_index3(xind,yind,zind,x1,y1,
|
|
|
1046 |
> z1,3,zt0,zbt0,nx,ny,nz,xmin,ymin,dx,dy)
|
|
|
1047 |
|
|
|
1048 |
tmp1 = int_index3 (topo,nx,ny,nz,xind,yind,zind,mdv)
|
|
|
1049 |
|
|
|
1050 |
if ( tmp1.gt.0.5 ) then
|
|
|
1051 |
left=1
|
|
|
1052 |
goto 100
|
|
|
1053 |
endif
|
|
|
1054 |
|
|
|
1055 |
endif
|
|
|
1056 |
|
|
|
1057 |
enddo
|
|
|
1058 |
|
|
|
1059 |
c Exit point for subroutine
|
|
|
1060 |
100 continue
|
|
|
1061 |
|
|
|
1062 |
return
|
|
|
1063 |
|
|
|
1064 |
end
|
|
|
1065 |
|
|
|
1066 |
c -------------------------------------------------------------------
|
|
|
1067 |
c Runge-Kutta (4th order) time-step
|
|
|
1068 |
c -------------------------------------------------------------------
|
|
|
1069 |
|
|
|
1070 |
subroutine runge(x1,y1,p1,left,x0,y0,p0,reltpos0,reltpos1,
|
|
|
1071 |
> deltat,numit,jump,mdv,wfactor,fbflag,
|
|
|
1072 |
> spt0,spt1,p3d0,p3d1,uut0,uut1,vvt0,vvt1,wwt0,wwt1,
|
|
|
1073 |
> xmin,ymin,dx,dy,per,hem,nx,ny,nz)
|
|
|
1074 |
|
|
|
1075 |
implicit none
|
|
|
1076 |
|
|
|
1077 |
c Declaration of subroutine parameters
|
|
|
1078 |
integer nx,ny,nz
|
|
|
1079 |
real x1,y1,p1
|
|
|
1080 |
integer left
|
|
|
1081 |
real x0,y0,p0
|
|
|
1082 |
real reltpos0,reltpos1
|
|
|
1083 |
real deltat
|
|
|
1084 |
integer numit
|
|
|
1085 |
integer jump
|
|
|
1086 |
real wfactor
|
|
|
1087 |
integer fbflag
|
|
|
1088 |
real spt0(nx*ny) ,spt1(nx*ny)
|
|
|
1089 |
real uut0(nx*ny*nz),uut1(nx*ny*nz)
|
|
|
1090 |
real vvt0(nx*ny*nz),vvt1(nx*ny*nz)
|
|
|
1091 |
real wwt0(nx*ny*nz),wwt1(nx*ny*nz)
|
|
|
1092 |
real p3d0(nx*ny*nz),p3d1(nx*ny*nz)
|
|
|
1093 |
real xmin,ymin,dx,dy
|
|
|
1094 |
real per
|
|
|
1095 |
integer hem
|
|
|
1096 |
real mdv
|
|
|
1097 |
|
|
|
1098 |
c Numerical and physical constants
|
|
|
1099 |
real deltay
|
|
|
1100 |
parameter (deltay=1.112E5) ! Distance in m between 2 lat circles
|
|
|
1101 |
real pi
|
|
|
1102 |
parameter (pi=3.1415927) ! Pi
|
|
|
1103 |
|
|
|
1104 |
c Auxiliary variables
|
|
|
1105 |
real xmax,ymax
|
|
|
1106 |
real xind,yind,zind
|
|
|
1107 |
real u0,v0,w0,u1,v1,w1,u,v,w,sp
|
|
|
1108 |
integer icount,n
|
|
|
1109 |
real xs,ys,ps,xk(4),yk(4),pk(4)
|
|
|
1110 |
real reltpos
|
|
|
1111 |
|
|
|
1112 |
c Externals
|
|
|
1113 |
real int_index4
|
|
|
1114 |
external int_index4
|
|
|
1115 |
|
|
|
1116 |
c Reset the flag for domain-leaving
|
|
|
1117 |
left=0
|
|
|
1118 |
|
|
|
1119 |
c Set the esat-north bounray of the domain
|
|
|
1120 |
xmax = xmin+real(nx-1)*dx
|
|
|
1121 |
ymax = ymin+real(ny-1)*dy
|
|
|
1122 |
|
|
|
1123 |
c Apply the Runge Kutta scheme
|
|
|
1124 |
do n=1,4
|
|
|
1125 |
|
|
|
1126 |
c Get intermediate position and relative time
|
|
|
1127 |
if (n.eq.1) then
|
|
|
1128 |
xs=0.
|
|
|
1129 |
ys=0.
|
|
|
1130 |
ps=0.
|
|
|
1131 |
reltpos=reltpos0
|
|
|
1132 |
else if (n.eq.4) then
|
|
|
1133 |
xs=xk(3)
|
|
|
1134 |
ys=yk(3)
|
|
|
1135 |
ps=pk(3)
|
|
|
1136 |
reltpos=reltpos1
|
|
|
1137 |
else
|
|
|
1138 |
xs=xk(n-1)/2.
|
|
|
1139 |
ys=yk(n-1)/2.
|
|
|
1140 |
ps=pk(n-1)/2.
|
|
|
1141 |
reltpos=(reltpos0+reltpos1)/2.
|
|
|
1142 |
endif
|
|
|
1143 |
|
|
|
1144 |
C Calculate new currents for advection
|
|
|
1145 |
call get_index4 (xind,yind,zind,x0+xs,y0+ys,p0+ps,reltpos,
|
|
|
1146 |
> p3d0,p3d1,spt0,spt1,3,
|
|
|
1147 |
> nx,ny,nz,xmin,ymin,dx,dy,mdv)
|
|
|
1148 |
u = int_index4 (uut0,uut1,nx,ny,nz,xind,yind,zind,reltpos,mdv)
|
|
|
1149 |
v = int_index4 (vvt0,vvt1,nx,ny,nz,xind,yind,zind,reltpos,mdv)
|
|
|
1150 |
w = int_index4 (wwt0,wwt1,nx,ny,nz,xind,yind,zind,reltpos,mdv)
|
|
|
1151 |
|
|
|
1152 |
c Force the near-surface current to zero
|
|
|
1153 |
if (zind.lt.1.) w1=w1*zind
|
|
|
1154 |
|
|
|
1155 |
c Update position and keep them
|
|
|
1156 |
xk(n)=fbflag*u*deltat/(deltay*cos(y0*pi/180.))
|
|
|
1157 |
yk(n)=fbflag*v*deltat/deltay
|
|
|
1158 |
pk(n)=fbflag*w*deltat*wfactor/100.
|
|
|
1159 |
|
|
|
1160 |
enddo
|
|
|
1161 |
|
|
|
1162 |
C Calculate new positions
|
|
|
1163 |
x1=x0+(1./6.)*(xk(1)+2.*xk(2)+2.*xk(3)+xk(4))
|
|
|
1164 |
y1=y0+(1./6.)*(yk(1)+2.*yk(2)+2.*yk(3)+yk(4))
|
|
|
1165 |
p1=p0+(1./6.)*(pk(1)+2.*pk(2)+2.*pk(3)+pk(4))
|
|
|
1166 |
|
|
|
1167 |
c Handle pole problems (crossing and near pole trajectory)
|
|
|
1168 |
if ((hem.eq.1).and.(y1.gt.90.)) then
|
|
|
1169 |
y1=180.-y1
|
|
|
1170 |
x1=x1+per/2.
|
|
|
1171 |
endif
|
|
|
1172 |
if ((hem.eq.1).and.(y1.lt.-90.)) then
|
|
|
1173 |
y1=-180.-y1
|
|
|
1174 |
x1=x1+per/2.
|
|
|
1175 |
endif
|
|
|
1176 |
if (y1.gt.89.99) then
|
|
|
1177 |
y1=89.99
|
|
|
1178 |
endif
|
|
|
1179 |
|
|
|
1180 |
c Handle crossings of the dateline
|
|
|
1181 |
if ((hem.eq.1).and.(x1.gt.xmin+per-dx)) then
|
|
|
1182 |
x1=xmin+amod(x1-xmin,per)
|
|
|
1183 |
endif
|
|
|
1184 |
if ((hem.eq.1).and.(x1.lt.xmin)) then
|
|
|
1185 |
x1=xmin+per+amod(x1-xmin,per)
|
|
|
1186 |
endif
|
|
|
1187 |
|
|
|
1188 |
cC Interpolate surface pressure to actual position
|
|
|
1189 |
call get_index4 (xind,yind,zind,x1,y1,1050.,reltpos1,
|
|
|
1190 |
> p3d0,p3d1,spt0,spt1,3,
|
|
|
1191 |
> nx,ny,nz,xmin,ymin,dx,dy,mdv)
|
|
|
1192 |
sp = int_index4 (spt0,spt1,nx,ny,1,xind,yind,1,reltpos,mdv)
|
|
|
1193 |
|
|
|
1194 |
c Handle trajectories which cross the lower boundary (jump flag)
|
|
|
1195 |
if ((jump.eq.1).and.(p1.gt.sp)) p1=sp-10.
|
|
|
1196 |
|
|
|
1197 |
C Check if trajectory leaves data domain
|
|
|
1198 |
if ( ( (hem.eq.0).and.(x1.lt.xmin) ).or.
|
|
|
1199 |
> ( (hem.eq.0).and.(x1.gt.xmax-dx) ).or.
|
|
|
1200 |
> (y1.lt.ymin).or.(y1.gt.ymax).or.(p1.gt.sp) )
|
|
|
1201 |
>then
|
|
|
1202 |
left=1
|
|
|
1203 |
goto 100
|
|
|
1204 |
endif
|
|
|
1205 |
|
|
|
1206 |
c Exit point fdor subroutine
|
|
|
1207 |
100 continue
|
|
|
1208 |
|
|
|
1209 |
return
|
|
|
1210 |
end
|