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Line 69... Line 69...
69
      integer                                jflag           ! Jump flag (if =1 ground-touching trajectories reenter atmosphere)
69
      integer                                jflag           ! Jump flag (if =1 ground-touching trajectories reenter atmosphere)
70
      real                                   wfactor         ! Factor for vertical velocity field
70
      real                                   wfactor         ! Factor for vertical velocity field
71
      character*80                           strname         ! File with start positions
71
      character*80                           strname         ! File with start positions
72
      character*80                           timecheck       ! Either 'yes' or 'no'
72
      character*80                           timecheck       ! Either 'yes' or 'no'
73
      character*10		              	     gridflag        ! "ideal" or "real"
73
      character*10		              	     gridflag        ! "ideal" or "real"
-
 
74
      real                                   aglconst        ! constant level above ground  
-
 
75
      real                                   isen            ! isentropic level
-
 
76
      character*80                           vertmode        ! Vertical mode (kinematic,aglconst)
74
 
77
 
75
c     Trajectories
78
c     Trajectories
76
      integer                                ncol            ! Number of columns for insput trajectories
79
      integer                                ncol            ! Number of columns for insput trajectories
77
      real,allocatable, dimension (:,:,:) :: trainp          ! Input start coordinates (ntra,1,ncol)
80
      real,allocatable, dimension (:,:,:) :: trainp          ! Input start coordinates (ntra,1,ncol)
78
      real,allocatable, dimension (:,:,:) :: traout          ! Output trajectories (ntra,ntim,4)
81
      real,allocatable, dimension (:,:,:) :: traout          ! Output trajectories (ntra,ntim,4)
Line 88... Line 91...
88
      real,allocatable, dimension (:)     :: spt0,spt1       ! Surface pressure
91
      real,allocatable, dimension (:)     :: spt0,spt1       ! Surface pressure
89
      real,allocatable, dimension (:)     :: uut0,uut1       ! Zonal wind
92
      real,allocatable, dimension (:)     :: uut0,uut1       ! Zonal wind
90
      real,allocatable, dimension (:)     :: vvt0,vvt1       ! Meridional wind
93
      real,allocatable, dimension (:)     :: vvt0,vvt1       ! Meridional wind
91
      real,allocatable, dimension (:)     :: wwt0,wwt1       ! Vertical wind
94
      real,allocatable, dimension (:)     :: wwt0,wwt1       ! Vertical wind
92
      real,allocatable, dimension (:)     :: p3t0,p3t1       ! 3d-pressure 
95
      real,allocatable, dimension (:)     :: p3t0,p3t1       ! 3d-pressure 
-
 
96
      real,allocatable, dimension (:)     :: tht0,tht1       ! potential temperature
-
 
97
      real,allocatable, dimension (:)     :: sth0,sth1       ! surface potential temperature 
93
 
98
 
94
c     Grid description
99
c     Grid description
95
      real                                   pollon,pollat   ! Longitude/latitude of pole
100
      real                                   pollon,pollat   ! Longitude/latitude of pole
96
      real                                   ak(nlevmax)     ! Vertical layers and levels
101
      real                                   ak(nlevmax)     ! Vertical layers and levels
97
      real                                   bk(nlevmax) 
102
      real                                   bk(nlevmax) 
Line 119... Line 124...
119
      integer                                wstep
124
      integer                                wstep
120
      character*80                           radunit
125
      character*80                           radunit
121
      real                                   lon1,lat1,lon2,lat2
126
      real                                   lon1,lat1,lon2,lat2
122
      real                                   scale_max,scale_min
127
      real                                   scale_max,scale_min
123
 
128
 
-
 
129
c     Externals
-
 
130
      real         int_index4
-
 
131
      external     int_index4
-
 
132
 
124
c     --------------------------------------------------------------------
133
c     --------------------------------------------------------------------
125
c     Start of program, Read parameters
134
c     Start of program, Read parameters
126
c     --------------------------------------------------------------------
135
c     --------------------------------------------------------------------
127
 
136
 
128
c     Write start message
137
c     Write start message
Line 196... Line 205...
196
      read(9,*) reftime(6)                  ! time range (in min)
205
      read(9,*) reftime(6)                  ! time range (in min)
197
 
206
 
198
c     Read flag for 'no time check'
207
c     Read flag for 'no time check'
199
      read(9,*) timecheck
208
      read(9,*) timecheck
200
 
209
      
-
 
210
c     Read flag for trajectories at constant level above ground
-
 
211
      read(9,*) aglconst      
-
 
212
      
-
 
213
c     Read flag for trajectories at constant isentropic level
-
 
214
      read(9,*) isen      
-
 
215
 
201
c     Close the input file
216
c     Close the input file
202
      close(9)
217
      close(9)
203
 
218
 
-
 
219
c     Set the vertical mode of the trajectory calculation
-
 
220
      vertmode = 'kinematic'
-
 
221
      if ( aglconst.gt.0. ) then
-
 
222
         vertmode = 'aglconst'
-
 
223
      endif
-
 
224
      if ( isen.gt.0. ) then
-
 
225
         vertmode = 'isen'
-
 
226
      endif
-
 
227
 
204
c     Calculate the number of output time steps
228
c     Calculate the number of output time steps
205
      ntim = abs(reftime(6)/deltout) + 1
229
      ntim = abs(reftime(6)/deltout) + 1
206
 
230
 
207
c     Set the formats of the input and output files
231
c     Set the formats of the input and output files
208
      call mode_tra(inpmode,strname)
232
      call mode_tra(inpmode,strname)
Line 232... Line 256...
232
         print*,'  Input format           : ',inpmode
256
         print*,'  Input format           : ',inpmode
233
      endif
257
      endif
234
      print*,'  Output format          : ',outmode
258
      print*,'  Output format          : ',outmode
235
      print*,'  Periodicity            : ',per
259
      print*,'  Periodicity            : ',per
236
      print*,'  Time check             : ',trim(timecheck)
260
      print*,'  Time check             : ',trim(timecheck)
-
 
261
      if ( vertmode.eq.'aglconst' ) then
-
 
262
         print*,'  Z = const AGL          : ',aglconst
-
 
263
      endif
-
 
264
      if ( vertmode.eq.'isen' ) then
-
 
265
         print*,'  isentropic             : ',isen
-
 
266
      endif
-
 
267
      
237
      print*
268
      print*
238
 
269
 
239
      print*,'---- FIXED NUMERICAL PARAMETERS -------------------------'
270
      print*,'---- FIXED NUMERICAL PARAMETERS -------------------------'
240
      print*
271
      print*
241
      print*,'  Number of iterations   : ',numit
272
      print*,'  Number of iterations   : ',numit
Line 307... Line 338...
307
      allocate(pp0(ntra),stat=stat)
338
      allocate(pp0(ntra),stat=stat)
308
      if (stat.ne.0) print*,'*** error allocating array pp0      ***' ! Pressure
339
      if (stat.ne.0) print*,'*** error allocating array pp0      ***' ! Pressure
309
      allocate(leftflag(ntra),stat=stat)
340
      allocate(leftflag(ntra),stat=stat)
310
      if (stat.ne.0) print*,'*** error allocating array leftflag ***' ! Leaving-domain flag
341
      if (stat.ne.0) print*,'*** error allocating array leftflag ***' ! Leaving-domain flag
311
 
342
 
-
 
343
c     Get memory for potential temperature (isentropic trajectories)
-
 
344
      if ( vertmode.eq.'isen' ) then
-
 
345
          allocate(tht0(nx*ny*nz),stat=stat)
-
 
346
          if (stat.ne.0) print*,'*** error allocating array tht0 ***'
-
 
347
          allocate(tht1(nx*ny*nz),stat=stat)
-
 
348
          if (stat.ne.0) print*,'*** error allocating array tht1 ***'
-
 
349
          allocate(sth0(nx*ny),stat=stat)
-
 
350
          if (stat.ne.0) print*,'*** error allocating array sth0 ***'
-
 
351
          allocate(sth1(nx*ny),stat=stat)
-
 
352
          if (stat.ne.0) print*,'*** error allocating array sth1 ***'
-
 
353
      endif
-
 
354
 
312
c     Write some status information
355
c     Write some status information
313
      print*,'---- CONSTANT GRID PARAMETERS ---------------------------'
356
      print*,'---- CONSTANT GRID PARAMETERS ---------------------------'
314
      print*
357
      print*
315
      print*,'  xmin,xmax     : ',xmin,xmax
358
      print*,'  xmin,xmax     : ',xmin,xmax
316
      print*,'  ymin,ymax     : ',ymin,ymax
359
      print*,'  ymin,ymax     : ',ymin,ymax
Line 462... Line 505...
462
      print*,'                (hour)  :',reftime(4)
505
      print*,'                (hour)  :',reftime(4)
463
      print*,'                (min)   :',reftime(5)
506
      print*,'                (min)   :',reftime(5)
464
      print*,' Time range             :',reftime(6),' min'
507
      print*,' Time range             :',reftime(6),' min'
465
      print*
508
      print*
466
 
509
 
467
C     Save starting positions 
510
C     Save starting positions - vertical position will be corrected below for <aglconst> and <isen>
468
      itim = 1
511
      itim = 1
469
      do i=1,ntra
512
      do i=1,ntra
470
         traout(i,itim,1) = 0.
513
         traout(i,itim,1) = 0.
471
         traout(i,itim,2) = xx0(i)
514
         traout(i,itim,2) = xx0(i)
472
         traout(i,itim,3) = yy0(i)
515
         traout(i,itim,3) = yy0(i)
Line 483... Line 526...
483
      call hhmm2frac(tst,frac)
526
      call hhmm2frac(tst,frac)
484
      tst = frac
527
      tst = frac
485
      call hhmm2frac(ten,frac)
528
      call hhmm2frac(ten,frac)
486
      ten = frac
529
      ten = frac
487
 
530
 
-
 
531
c     Adjust the starting heights in mode <aglconst>
-
 
532
      if ( vertmode.eq.'aglconst' ) then
-
 
533
        filename = prefix//dat(1)
-
 
534
        call input_open (fid,filename)
-
 
535
	      varname='geopot'				! geopot.height
-
 
536
	      call input_var_wrf(fid,varname,p3t0,nx,ny,nz)
-
 
537
	      varname='geopots'				! geopot.height at surface
-
 
538
	      call input_var_wrf(fid,varname,spt0,nx,ny,1)
-
 
539
        call input_close(fid)
-
 
540
        filename = prefix//dat(2)
-
 
541
        call input_open (fid,filename)
-
 
542
	      varname='geopot'				! geopot.height
-
 
543
	      call input_var_wrf(fid,varname,p3t1,nx,ny,nz)
-
 
544
	      varname='geopots'				! geopot.height at surface
-
 
545
	      call input_var_wrf(fid,varname,spt1,nx,ny,1)
-
 
546
        call input_close(fid)
-
 
547
        do i=1,ntra
-
 
548
           call get_index4 (xind,yind,pind,xx0(i),yy0(i),0.,reltpos0,
-
 
549
     >                      p3t0,p3t1,spt0,spt1,3,
-
 
550
     >                      nx,ny,nz,xmin,ymin,dx,dy,mdv)
-
 
551
           sp = int_index4 (spt0,spt1,nx,ny,1,xind,yind,1.,reltpos0,mdv)
-
 
552
           traout(i,1,4) = sp + aglconst
-
 
553
        enddo
-
 
554
      endif
-
 
555
      
-
 
556
c     Adjust the starting heights in mode <isen>
-
 
557
      if ( vertmode.eq.'isen' ) then
-
 
558
        filename = prefix//dat(1)
-
 
559
        call input_open (fid,filename)
-
 
560
	      varname='geopot'				! geopot.height
-
 
561
	      call input_var_wrf(fid,varname,p3t0,nx,ny,nz)
-
 
562
	      varname='geopots'				! geopot.height at surface
-
 
563
	      call input_var_wrf(fid,varname,spt0,nx,ny,1)
-
 
564
          varname='TH'					! TH
-
 
565
          call input_var_wrf(fid,varname,tht0,nx,ny,nz)
-
 
566
          do i=1,nx*ny 
-
 
567
              sth0(i) = tht0(i)
-
 
568
          enddo
-
 
569
        call input_close(fid)
-
 
570
        filename = prefix//dat(2)
-
 
571
        call input_open (fid,filename)
-
 
572
	      varname='geopot'				! geopot.height
-
 
573
	      call input_var_wrf(fid,varname,p3t1,nx,ny,nz)
-
 
574
	      varname='geopots'				! geopot.height at surface
-
 
575
	      call input_var_wrf(fid,varname,spt1,nx,ny,1)
-
 
576
          varname='TH'					! TH
-
 
577
          call input_var_wrf(fid,varname,tht1,nx,ny,nz)
-
 
578
          do i=1,nx*ny 
-
 
579
              sth1(i) = tht1(i)
-
 
580
          enddo
-
 
581
        call input_close(fid)
-
 
582
        do i=1,ntra
-
 
583
        
-
 
584
          call get_index4 (xind,yind,pind,xx0(i),yy0(i),isen,reltpos0,
-
 
585
     >                    tht0,tht1,sth0,sth1,1,
-
 
586
     >                    nx,ny,nz,xmin,ymin,dx,dy,mdv)
-
 
587
          traout(i,1,4) = int_index4 
-
 
588
     >          (p3t0,p3t1,nx,ny,nz,xind,yind,pind,reltpos0,mdv)
-
 
589
        enddo
-
 
590
      endif
-
 
591
 
488
c     -----------------------------------------------------------------------
592
c     -----------------------------------------------------------------------
489
c     Loop to calculate trajectories
593
c     Loop to calculate trajectories
490
c     -----------------------------------------------------------------------
594
c     -----------------------------------------------------------------------
491
 
595
 
492
c     Write some status information
596
c     Write some status information
Line 526... Line 630...
526
	  call input_var_wrf(fid,varname,p3t1,nx,ny,nz)
630
	  call input_var_wrf(fid,varname,p3t1,nx,ny,nz)
527
 
631
 
528
	  varname='geopots'				! geopot.height at surface
632
	  varname='geopots'				! geopot.height at surface
529
	  call input_var_wrf(fid,varname,spt1,nx,ny,1)
633
	  call input_var_wrf(fid,varname,spt1,nx,ny,1)
530
 
634
 
-
 
635
      if (vertmode.eq.'isen') then
-
 
636
           varname='TH'					! TH
-
 
637
 	       call input_var_wrf(fid,varname,tht1,nx,ny,nz)
-
 
638
           do i=1,nx*ny 
-
 
639
              sth1(i) = tht1(i)
-
 
640
           enddo
-
 
641
      endif
-
 
642
 
531
      call input_close(fid)
643
      call input_close(fid)
532
 
644
 
533
c     Loop over all input files (time step is <timeinc>)
645
c     Loop over all input files (time step is <timeinc>)
534
      do itm=1,numdat-1
646
      do itm=1,numdat-1
535
 
647
 
536
c       Calculate actual and next time
648
c       Calculate actual and next time
537
        time0 = tstart+real(itm-1)*timeinc*fbflag
649
        time0 = tstart+real(itm-1)*timeinc*fbflag
538
        time1 = time0+timeinc*fbflag
650
        time1 = time0+timeinc*fbflag
539
 
651
 
540
 
-
 
541
c       Copy old velocities and pressure fields to new ones       
652
c       Copy old velocities and pressure fields to new ones       
542
        do i=1,nx*ny*nz
653
        do i=1,nx*ny*nz
543
           uut0(i)=uut1(i)
654
           uut0(i)=uut1(i)
544
           vvt0(i)=vvt1(i)
655
           vvt0(i)=vvt1(i)
545
           wwt0(i)=wwt1(i)
656
           wwt0(i)=wwt1(i)
Line 547... Line 658...
547
        enddo
658
        enddo
548
        do i=1,nx*ny
659
        do i=1,nx*ny
549
           spt0(i)=spt1(i)
660
           spt0(i)=spt1(i)
550
        enddo
661
        enddo
551
 
662
 
-
 
663
c       Copy potential temperature
-
 
664
        if ( vertmode.eq.'isen' ) then
-
 
665
           do i=1,nx*ny*nz
-
 
666
              tht0(i)=tht1(i)
-
 
667
           enddo
-
 
668
           do i=1,nx*ny
-
 
669
             sth0(i)=sth1(i)
-
 
670
           enddo
-
 
671
        endif
-
 
672
 
552
c       Read wind fields and surface pressure at next time
673
c       Read wind fields and surface pressure at next time
553
        filename = prefix//dat(itm+1)
674
        filename = prefix//dat(itm+1)
554
 
675
 
555
        call frac2hhmm(time1,tload)
676
        call frac2hhmm(time1,tload)
556
        write(*,'(a16,a20,f7.2)') '  (file,time) : ',
677
        write(*,'(a16,a20,f7.2)') '  (file,time) : ',
Line 571... Line 692...
571
	    call input_var_wrf(fid,varname,p3t1,nx,ny,nz)
692
	    call input_var_wrf(fid,varname,p3t1,nx,ny,nz)
572
 
693
 
573
	    varname='geopots'				! geopot.height
694
	    varname='geopots'				! geopot.height
574
	    call input_var_wrf(fid,varname,spt1,nx,ny,1)
695
	    call input_var_wrf(fid,varname,spt1,nx,ny,1)
575
 
696
        
-
 
697
        if (vertmode.eq.'isen') then
-
 
698
           varname='TH'					! TH
-
 
699
 	       call input_var_wrf(fid,varname,tht1,nx,ny,nz)
-
 
700
           do i=1,nx*ny 
-
 
701
              sth1(i) = tht1(i)
-
 
702
           enddo
-
 
703
        endif
-
 
704
        
576
        call input_close(fid)
705
        call input_close(fid)
577
        
706
        
578
C       Determine the first and last loop indices
707
C       Determine the first and last loop indices
579
        if (numdat.eq.2) then
708
        if (numdat.eq.2) then
580
          filo = nint(tst/ts)+1
709
          filo = nint(tst/ts)+1
Line 605... Line 734...
605
 
734
 
606
C           Check if trajectory has already left the data domain
735
C           Check if trajectory has already left the data domain
607
            if (leftflag(i).ne.1) then	
736
            if (leftflag(i).ne.1) then	
608
 
737
 
609
c             Iterative Euler timestep (x0,y0,p0 -> x1,y1,p1)
738
c             Iterative Euler timestep (x0,y0,p0 -> x1,y1,p1)
-
 
739
              if ( vertmode.eq.'kinematic' ) then
610
              call euler(
740
                 call euler_kinematic(
611
     >               xx1,yy1,pp1,leftflag(i),
741
     >               xx1,yy1,pp1,leftflag(i),
612
     >               xx0(i),yy0(i),pp0(i),reltpos0,reltpos1,
742
     >               xx0(i),yy0(i),pp0(i),reltpos0,reltpos1,
613
     >               ts*3600,numit,jflag,mdv,wfactor,fbflag,
743
     >               ts*3600,numit,jflag,mdv,wfactor,fbflag,
614
     >               spt0,spt1,p3t0,p3t1,uut0,uut1,vvt0,vvt1,wwt0,wwt1,
744
     >               spt0,spt1,p3t0,p3t1,uut0,uut1,vvt0,vvt1,wwt0,wwt1,
615
     >               xmin,ymin,dx,dy,per,hem,nx,ny,nz,mpx,mpy)
745
     >               xmin,ymin,dx,dy,per,hem,nx,ny,nz,mpx,mpy)
-
 
746
              elseif ( vertmode.eq.'aglconst' ) then
-
 
747
                 call euler_aglconst(
-
 
748
     >               xx1,yy1,pp1,leftflag(i),
-
 
749
     >               xx0(i),yy0(i),pp0(i),reltpos0,reltpos1,
-
 
750
     >               ts*3600,numit,jflag,mdv,wfactor,fbflag,
-
 
751
     >               spt0,spt1,p3t0,p3t1,uut0,uut1,vvt0,vvt1,
-
 
752
     >               xmin,ymin,dx,dy,per,hem,nx,ny,nz,mpx,mpy,aglconst)
-
 
753
              elseif ( vertmode.eq.'isen' ) then
-
 
754
                 call euler_isen(
-
 
755
     >               xx1,yy1,pp1,leftflag(i),
-
 
756
     >               xx0(i),yy0(i),pp0(i),reltpos0,reltpos1,
-
 
757
     >               ts*3600,numit,jflag,mdv,wfactor,fbflag,
-
 
758
     >               spt0,spt1,p3t0,p3t1,uut0,uut1,vvt0,vvt1,
-
 
759
     >               tht0,tht1,sth0,sth1,
-
 
760
     >               xmin,ymin,dx,dy,per,hem,nx,ny,nz,mpx,mpy,isen)
-
 
761
     
-
 
762
              endif
616
 
763
 
617
c             Update trajectory position, or increase number of trajectories leaving domain
764
c             Update trajectory position, or increase number of trajectories leaving domain
618
              if (leftflag(i).eq.1) then
765
              if (leftflag(i).eq.1) then
619
                leftcount=leftcount+1
766
                leftcount=leftcount+1
620
                if ( leftcount.lt.10 ) then
767
                if ( leftcount.lt.10 ) then
Line 721... Line 868...
721
C     numit	 input	number of iterations
868
C     numit	 input	number of iterations
722
C     jump	 input  flag (=1 trajectories don't enter the ground)
869
C     jump	 input  flag (=1 trajectories don't enter the ground)
723
C     left	 output	flag (=1 if trajectory leaves data domain)
870
C     left	 output	flag (=1 if trajectory leaves data domain)
724
 
871
 
725
c     -------------------------------------------------------------------
872
c     -------------------------------------------------------------------
726
c     Iterative Euler time step
873
c     Iterative Euler time step - kinematic trajectory
727
c     -------------------------------------------------------------------
874
c     -------------------------------------------------------------------
728
 
875
 
-
 
876
      subroutine euler_kinematic
729
      subroutine euler(x1,y1,p1,left,x0,y0,p0,reltpos0,reltpos1,
877
     >          (x1,y1,p1,left,x0,y0,p0,reltpos0,reltpos1,
730
     >                 deltat,numit,jump,mdv,wfactor,fbflag,
878
     >           deltat,numit,jump,mdv,wfactor,fbflag,
731
     >		           spt0,spt1,p3d0,p3d1,uut0,uut1,vvt0,vvt1,wwt0,wwt1,
879
     >		     spt0,spt1,p3d0,p3d1,uut0,uut1,vvt0,vvt1,wwt0,wwt1,
732
     >                 xmin,ymin,dx,dy,per,hem,nx,ny,nz,mpx,mpy)
880
     >           xmin,ymin,dx,dy,per,hem,nx,ny,nz,mpx,mpy)
733
 
881
 
734
      implicit none
882
      implicit none
Line 863... Line 1011...
863
 
1011
 
864
      return
1012
      return
865
 
1013
 
866
      end
1014
      end
867
 
1015
 
-
 
1016
c     -------------------------------------------------------------------
-
 
1017
c     Iterative Euler time step - constant level above ground
-
 
1018
c     -------------------------------------------------------------------
-
 
1019
 
-
 
1020
      subroutine euler_aglconst
-
 
1021
     >          (x1,y1,p1,left,x0,y0,p0,reltpos0,reltpos1,
-
 
1022
     >           deltat,numit,jump,mdv,wfactor,fbflag,
-
 
1023
     >		     spt0,spt1,p3d0,p3d1,uut0,uut1,vvt0,vvt1,
-
 
1024
     >           xmin,ymin,dx,dy,per,hem,nx,ny,nz,mpx,mpy,aglconst)
-
 
1025
 
-
 
1026
      implicit none
-
 
1027
 
-
 
1028
c     Flag for test mode
-
 
1029
      integer      test
-
 
1030
      parameter    (test=0)
-
 
1031
 
-
 
1032
c     Declaration of subroutine parameters
-
 
1033
      integer      nx,ny,nz
-
 
1034
      real         x1,y1,p1
-
 
1035
      integer      left
-
 
1036
      real	       x0,y0,p0
-
 
1037
      real         reltpos0,reltpos1
-
 
1038
      real   	   deltat
-
 
1039
      integer      numit
-
 
1040
      integer      jump
-
 
1041
      real         wfactor
-
 
1042
      integer      fbflag
-
 
1043
      real     	   spt0(nx*ny)   ,spt1(nx*ny)
-
 
1044
      real         uut0(nx*ny*nz),uut1(nx*ny*nz)
-
 
1045
      real 	       vvt0(nx*ny*nz),vvt1(nx*ny*nz)
-
 
1046
      real         p3d0(nx*ny*nz),p3d1(nx*ny*nz)
-
 
1047
      real         xmin,ymin,dx,dy
-
 
1048
      integer      per
-
 
1049
      integer      hem
-
 
1050
      real         mdv
-
 
1051
      real         mpx(nx*ny),mpy(nx*ny)
-
 
1052
      real         aglconst
-
 
1053
 
-
 
1054
c     Auxiliary variables
-
 
1055
      real         xmax,ymax
-
 
1056
      real	       xind,yind,pind
-
 
1057
 
-
 
1058
      real	       u0,v0,u1,v1,u,v,w,sp
-
 
1059
      integer	   icount
-
 
1060
      character    ch
-
 
1061
      real         mpsc_x,mpsc_y
-
 
1062
 
-
 
1063
c     Externals    
-
 
1064
      real         int_index4
-
 
1065
      external     int_index4
-
 
1066
      
-
 
1067
c     Reset the flag for domain-leaving
-
 
1068
      left=0
-
 
1069
 
-
 
1070
c     Set the esat-north boundary of the domain
-
 
1071
      xmax = xmin+real(nx-1)*dx
-
 
1072
      ymax = ymin+real(ny-1)*dy
-
 
1073
      
-
 
1074
C     Set parcel height to aglconst above topography
-
 
1075
      call get_index4 (xind,yind,pind,x1,y1,0.,reltpos0,
-
 
1076
     >                 p3d0,p3d1,spt0,spt1,3,
-
 
1077
     >                 nx,ny,nz,xmin,ymin,dx,dy,mdv)
-
 
1078
      sp = int_index4 (spt0,spt1,nx,ny,1,xind,yind,1.,reltpos0,mdv)
-
 
1079
      p0 = sp + aglconst
-
 
1080
 
-
 
1081
C     Interpolate wind fields to starting position (x0,y0,p0)
-
 
1082
      call get_index4 (xind,yind,pind,x0,y0,p0,reltpos0,
-
 
1083
     >                 p3d0,p3d1,spt0,spt1,3,
-
 
1084
     >                 nx,ny,nz,xmin,ymin,dx,dy,mdv)
-
 
1085
      u0 = int_index4(uut0,uut1,nx,ny,nz,xind,yind,pind,reltpos0,mdv)
-
 
1086
      v0 = int_index4(vvt0,vvt1,nx,ny,nz,xind,yind,pind,reltpos0,mdv)
-
 
1087
 
-
 
1088
C     For first iteration take ending position equal to starting position
-
 
1089
      x1 = x0
-
 
1090
      y1 = y0
-
 
1091
      p1 = p0
-
 
1092
 
-
 
1093
C     Iterative calculation of new position
-
 
1094
      do icount=1,numit
-
 
1095
 
-
 
1096
C        Calculate new winds for advection
-
 
1097
         call get_index4 (xind,yind,pind,x1,y1,p1,reltpos1,
-
 
1098
     >                    p3d0,p3d1,spt0,spt1,3,
-
 
1099
     >                    nx,ny,nz,xmin,ymin,dx,dy,mdv)
-
 
1100
         u1 = int_index4(uut0,uut1,nx,ny,nz,xind,yind,pind,reltpos1,mdv)
-
 
1101
         v1 = int_index4(vvt0,vvt1,nx,ny,nz,xind,yind,pind,reltpos1,mdv)
-
 
1102
 
-
 
1103
c        Get the new velocity in between
-
 
1104
         u=(u0+u1)/2.
-
 
1105
         v=(v0+v1)/2.
-
 
1106
        
-
 
1107
c        Get the mapping scale factors for this position
-
 
1108
         mpsc_x = int_index4 (mpx,mpx,nx,ny,1,xind,yind,1.,reltpos1,mdv)
-
 
1109
         mpsc_y = int_index4 (mpy,mpy,nx,ny,1,xind,yind,1.,reltpos1,mdv)
-
 
1110
 
-
 
1111
C        Calculate new positions (adapted for cartesian grid)
-
 
1112
         x1 = x0 + fbflag * deltat * u * dx/mpsc_x
-
 
1113
         y1 = y0 + fbflag * deltat * v * dy/mpsc_y
-
 
1114
 
-
 
1115
c        Write the update positions for tests
-
 
1116
         if ( (icount.eq.3).and.(test.eq.1) ) then
-
 
1117
            write(*,'(10f10.2)') x0,u,x1-x0,p0,w,p1-p0
-
 
1118
         endif
-
 
1119
 
-
 
1120
C       Set trajectory height to aglconst above topography
-
 
1121
        call get_index4 (xind,yind,pind,x1,y1,0.,reltpos1,
-
 
1122
     >                   p3d0,p3d1,spt0,spt1,3,
-
 
1123
     >                   nx,ny,nz,xmin,ymin,dx,dy,mdv)
-
 
1124
        sp = int_index4 (spt0,spt1,nx,ny,1,xind,yind,1.,reltpos1,mdv)
-
 
1125
        p1 = sp + aglconst
-
 
1126
 
-
 
1127
c       Handle trajectories which cross the lower boundary (jump flag)
-
 
1128
        if ((jump.eq.1).and.(p1.lt.sp)) then
-
 
1129
            print*,'jump'
-
 
1130
            p1=sp+10.
-
 
1131
        endif
-
 
1132
 
-
 
1133
c       Handle periodioc boundaries for 'ideal' mode
-
 
1134
        if ( per.eq.1 ) then
-
 
1135
	        if ( x1.gt.xmax ) x1=x1-xmax
-
 
1136
	        if ( x1.lt.xmin ) x1=x1+xmax
-
 
1137
        endif
-
 
1138
 
-
 
1139
C       Check if trajectory leaves data domain
-
 
1140
        if ( (x1.lt.xmin).or.(x1.gt.xmax).or.
-
 
1141
     >       (y1.lt.ymin).or.(y1.gt.ymax).or.(p1.lt.sp) )   ! geopot : .lt. ; pressure: .gt.
-
 
1142
     >  then
-
 
1143
          left=1
-
 
1144
          goto 100
-
 
1145
        endif
-
 
1146
 
-
 
1147
      enddo
-
 
1148
 
-
 
1149
c     Exit point for subroutine
-
 
1150
 100  continue
-
 
1151
 
-
 
1152
      return
-
 
1153
 
-
 
1154
      end
-
 
1155
      
-
 
1156
c     -------------------------------------------------------------------
-
 
1157
c     Iterative Euler time step - isentropic
-
 
1158
c     -------------------------------------------------------------------
-
 
1159
 
-
 
1160
      subroutine euler_isen
-
 
1161
     >          (x1,y1,p1,left,x0,y0,p0,reltpos0,reltpos1,
-
 
1162
     >           deltat,numit,jump,mdv,wfactor,fbflag,
-
 
1163
     >		     spt0,spt1,p3d0,p3d1,uut0,uut1,vvt0,vvt1,
-
 
1164
     >           tht0,tht1,sth0,sth1,
-
 
1165
     >           xmin,ymin,dx,dy,per,hem,nx,ny,nz,mpx,mpy,isen)
-
 
1166
 
-
 
1167
      implicit none
-
 
1168
 
-
 
1169
c     Flag for test mode
-
 
1170
      integer      test
-
 
1171
      parameter    (test=0)
-
 
1172
 
-
 
1173
c     Declaration of subroutine parameters
-
 
1174
      integer      nx,ny,nz
-
 
1175
      real         x1,y1,p1
-
 
1176
      integer      left
-
 
1177
      real	       x0,y0,p0
-
 
1178
      real         reltpos0,reltpos1
-
 
1179
      real   	   deltat
-
 
1180
      integer      numit
-
 
1181
      integer      jump
-
 
1182
      real         wfactor
-
 
1183
      integer      fbflag
-
 
1184
      real     	   spt0(nx*ny)   ,spt1(nx*ny)
-
 
1185
      real         uut0(nx*ny*nz),uut1(nx*ny*nz)
-
 
1186
      real 	       vvt0(nx*ny*nz),vvt1(nx*ny*nz)
-
 
1187
      real         tht0(nx*ny*nz),tht1(nx*ny*nz),sth0(nx*ny),sth1(nx*ny)
-
 
1188
      real         p3d0(nx*ny*nz),p3d1(nx*ny*nz)
-
 
1189
      real         xmin,ymin,dx,dy
-
 
1190
      integer      per
-
 
1191
      integer      hem
-
 
1192
      real         mdv
-
 
1193
      real         mpx(nx*ny),mpy(nx*ny)
-
 
1194
      real         isen
-
 
1195
 
-
 
1196
c     Auxiliary variables
-
 
1197
      real         xmax,ymax
-
 
1198
      real	       xind,yind,pind
-
 
1199
 
-
 
1200
      real	       u0,v0,u1,v1,u,v,w,sp
-
 
1201
      integer	   icount
-
 
1202
      character    ch
-
 
1203
      real         mpsc_x,mpsc_y
-
 
1204
 
-
 
1205
c     Externals    
-
 
1206
      real         int_index4
-
 
1207
      external     int_index4
-
 
1208
      
-
 
1209
c     Reset the flag for domain-leaving
-
 
1210
      left=0
-
 
1211
 
-
 
1212
c     Set the esat-north boundary of the domain
-
 
1213
      xmax = xmin+real(nx-1)*dx
-
 
1214
      ymax = ymin+real(ny-1)*dy
-
 
1215
 
-
 
1216
C     Interpolate wind fields to starting position (x0,y0,p0)
-
 
1217
      call get_index4 (xind,yind,pind,x0,y0,p0,reltpos0,
-
 
1218
     >                 p3d0,p3d1,spt0,spt1,3,
-
 
1219
     >                 nx,ny,nz,xmin,ymin,dx,dy,mdv)
-
 
1220
      u0 = int_index4(uut0,uut1,nx,ny,nz,xind,yind,pind,reltpos0,mdv)
-
 
1221
      v0 = int_index4(vvt0,vvt1,nx,ny,nz,xind,yind,pind,reltpos0,mdv)
-
 
1222
 
-
 
1223
C     For first iteration take ending position equal to starting position
-
 
1224
      x1 = x0
-
 
1225
      y1 = y0
-
 
1226
      p1 = p0
-
 
1227
 
-
 
1228
C     Iterative calculation of new position
-
 
1229
      do icount=1,numit
-
 
1230
 
-
 
1231
C        Calculate new winds for advection
-
 
1232
         call get_index4 (xind,yind,pind,x1,y1,p1,reltpos1,
-
 
1233
     >                    p3d0,p3d1,spt0,spt1,3,
-
 
1234
     >                    nx,ny,nz,xmin,ymin,dx,dy,mdv)
-
 
1235
         u1 = int_index4(uut0,uut1,nx,ny,nz,xind,yind,pind,reltpos1,mdv)
-
 
1236
         v1 = int_index4(vvt0,vvt1,nx,ny,nz,xind,yind,pind,reltpos1,mdv)
-
 
1237
 
-
 
1238
c        Get the new velocity in between
-
 
1239
         u=(u0+u1)/2.
-
 
1240
         v=(v0+v1)/2.
-
 
1241
        
-
 
1242
c        Get the mapping scale factors for this position
-
 
1243
         mpsc_x = int_index4 (mpx,mpx,nx,ny,1,xind,yind,1.,reltpos1,mdv)
-
 
1244
         mpsc_y = int_index4 (mpy,mpy,nx,ny,1,xind,yind,1.,reltpos1,mdv)
-
 
1245
 
-
 
1246
C        Calculate new positions (adapted for cartesian grid)
-
 
1247
         x1 = x0 + fbflag * deltat * u * dx/mpsc_x
-
 
1248
         y1 = y0 + fbflag * deltat * v * dy/mpsc_y
-
 
1249
 
-
 
1250
c        Write the update positions for tests
-
 
1251
         if ( (icount.eq.3).and.(test.eq.1) ) then
-
 
1252
            write(*,'(10f10.2)') x0,u,x1-x0,p0,w,p1-p0
-
 
1253
         endif
-
 
1254
 
-
 
1255
c        Set trajectory height to isentropic level         
-
 
1256
         call get_index4 (xind,yind,pind,x1,y1,isen,reltpos1,
-
 
1257
     >                    tht0,tht1,sth0,sth1,1,
-
 
1258
     >                    nx,ny,nz,xmin,ymin,dx,dy,mdv)
-
 
1259
         p1 = int_index4 
-
 
1260
     >          (p3d0,p3d1,nx,ny,nz,xind,yind,pind,reltpos1,mdv)
-
 
1261
 
-
 
1262
C       Interpolate surface geop.height to actual position
-
 
1263
        call get_index4 (xind,yind,pind,x1,y1,0.,reltpos1,
-
 
1264
     >                   p3d0,p3d1,spt0,spt1,3,
-
 
1265
     >                   nx,ny,nz,xmin,ymin,dx,dy,mdv)
-
 
1266
        sp = int_index4 (spt0,spt1,nx,ny,1,xind,yind,1.,reltpos1,mdv)
-
 
1267
 
-
 
1268
c       Handle trajectories which cross the lower boundary (jump flag)
-
 
1269
        if ((jump.eq.1).and.(p1.lt.sp)) then
-
 
1270
            print*,'jump'
-
 
1271
            p1=sp+10.
-
 
1272
        endif
-
 
1273
 
-
 
1274
c       Handle periodioc boundaries for 'ideal' mode
-
 
1275
        if ( per.eq.1 ) then
-
 
1276
	        if ( x1.gt.xmax ) x1=x1-xmax
-
 
1277
	        if ( x1.lt.xmin ) x1=x1+xmax
-
 
1278
        endif
-
 
1279
 
-
 
1280
C       Check if trajectory leaves data domain
-
 
1281
        if ( (x1.lt.xmin).or.(x1.gt.xmax).or.
-
 
1282
     >       (y1.lt.ymin).or.(y1.gt.ymax).or.(p1.lt.sp) )   ! geopot : .lt. ; pressure: .gt.
-
 
1283
     >  then
-
 
1284
          left=1
-
 
1285
          goto 100
-
 
1286
        endif
-
 
1287
 
-
 
1288
      enddo
-
 
1289
 
-
 
1290
c     Exit point for subroutine
-
 
1291
 100  continue
-
 
1292
 
-
 
1293
      return
-
 
1294
 
-
 
1295
      end
868
 
1296
 
869
c     ----------------------------------------------------------------------
1297
c     ----------------------------------------------------------------------
870
c     Get spherical distance between lat/lon points
1298
c     Get spherical distance between lat/lon points
871
c     ----------------------------------------------------------------------
1299
c     ----------------------------------------------------------------------
872
 
1300