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michaesp |
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C ********************************************************************
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program ptos
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C ********************************************************************
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C Purpose
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C -------
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C
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C Calculates secondary data files from primary data files
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C (based upon IVE-routines).
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C The program is invoked by the shell-script p2s.
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C
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C Author
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C ------
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C
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C H. Wernli April 96
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C
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C Modifications
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C -------------
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C
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CSue Adpated to calculate f*geostrophic wind components and geostrophic
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C momentum components.
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C lat, lon, rlat, rlon modified to arrays so that can be precalculated
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C lat in radians, rlat in degrees (similarly for lon)
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C ********************************************************************
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include "um_dims.inc"
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real time(ntmax)
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real sp(nxmax*nymax),cl(nxmax*nymax),f(nxmax*nymax)
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real oro(nxmax*nymax),ps(nxmax*nymax)
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real var(nxmax*nymax*nzmax),th(nxmax*nymax*nzmax),
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> pv(nxmax*nymax*nzmax),the(nxmax*nymax*nzmax),
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> thw(nxmax*nymax*nzmax),
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> rh(nxmax*nymax*nzmax),dhr(nxmax*nymax*nzmax),
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> tt(nxmax*nymax*nzmax),qq(nxmax*nymax*nzmax),
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> uu(nxmax*nymax*nzmax),vv(nxmax*nymax*nzmax),
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> ww(nxmax*nymax*nzmax),fug(nxmax*nymax*nzmax),
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> fvg(nxmax*nymax*nzmax),dspdx(nxmax*nymax),
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> dspdy(nxmax*nymax),dvardx(nxmax*nymax*nzmax),
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> dvardy(nxmax*nymax*nzmax),Mg(nxmax*nymax*nzmax),
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> Ng(nxmax*nymax*nzmax)
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character*80 cdfnam,cstnam,cdf_file
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integer cdfid,cdfid1,cstid,ierr,ndim,vardim(4)
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real dx,dy,mdv,varmin(4),varmax(4),stag(4)
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real aklev(nzmax),bklev(nzmax),aklay(nzmax),bklay(nzmax),
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> ak(nzmax),bk(nzmax)
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real lon_eq,lat_eq,u_ll,v_ll,Mg_ll,Ng_ll,lon1,lat1
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integer nx,ny,nz,ntimes,i,j,k,n,kk,jj
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integer stdate(5)
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integer mode,qmode,zdef
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real rlat(nxmax*nymax),rlon(nxmax*nymax),
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> lat(nxmax*nymax),lon(nxmax*nymax)
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real pollon,pollat,yphys,xphys
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real phstoph,lmstolm
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logical prelev
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real pi
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data pi /3.141592654/
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integer iw, jw, kkw, w
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parameter (w=7)
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real weight(w,w), sumweight, tmpu(nxmax*nymax*nzmax),
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> tmpv(nxmax*nymax*nzmax), ug(nxmax*nymax*nzmax),
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> vg(nxmax*nymax*nzmax)
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write(*,*)'*** start of program ptos ***'
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C Read filename
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read(9,10)cdfnam
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write(*,*) 'cdfnam is ',cdfnam
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10 format(a13)
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C Read mode and qmode
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read(9,*)mode
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read(9,*)qmode
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if (mode.eq.10) read(9,*)zdef
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C Open files and get infos about data domain
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if (mode.eq.10) then
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call cdfwopn('P'//trim(cdfnam),cdfid1,ierr)
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else
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call cdfopn('P'//trim(cdfnam),cdfid1,ierr)
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endif
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call getcfn(cdfid1,cstnam,ierr)
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call cdfopn(trim(cstnam),cstid,ierr)
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call getdef(cdfid1,'T',ndim,mdv,vardim,varmin,varmax,stag,ierr)
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if (ierr.ne.0) goto 920
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mdv=-999.98999
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C Get the levels, pole, etc.
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nx=vardim(1)
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ny=vardim(2)
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nz=vardim(3)
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call getgrid(cstid,dx,dy,ierr)
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call getlevs(cstid,nz,aklev,bklev,aklay,bklay,ierr)
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call getpole(cstid,pollon,pollat,ierr)
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call getstart(cstid,stdate,ierr)
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C write(*,*) 'dx ',dx,' dy ',dy
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C write(*,*) 'pollon ', pollon,' pollat ',pollat
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C Determine if data is on pressure or model levels
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prelev=.true.
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do k=1,nz
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if (bklev(k).ne.0.) prelev=.false.
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enddo
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C write(*,*) ' prelev ',prelev,'aklev ',aklev,' bklev ',bklev
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CSue Calculate real lats and lons
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if ((pollon.ne.0.).or.(pollat.ne.90.)) then
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do j=1,ny
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do i=1,nx
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jj=i+(j-1)*nx
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rlat(jj)=varmin(2)+(j-1)*dy
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rlon(jj)=varmin(1)+(i-1)*dx
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yphys=phstoph(rlat(jj),rlon(jj),pollat,pollon)
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C if I use sind(lat in deg): troubles at the N-pole
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lat(jj)=2.*pi*yphys/360.
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xphys=lmstolm(rlat(jj),rlon(jj),pollat,pollon)
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lon(jj)=2.*pi*xphys/360.
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enddo
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enddo
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else
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do j=1,ny
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do i=1,nx
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jj=i+(j-1)*nx
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lon(jj)=varmin(1)+(i-1)*dx
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lat(jj)=varmin(2)+(j-1)*dy
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enddo
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enddo
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endif
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C ---------------------------------
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C Calculate cos(latitude) array and the coriolis parameter
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if ((pollon.ne.0.).or.(pollat.ne.90.)) then
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do j=1,ny
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do i=1,nx
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jj=i+(j-1)*nx
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cl(i+(j-1)*nx)=cos(pi*rlat(jj)/180.)
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f(i+(j-1)*nx)=0.000145444*sin(lat(jj))
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enddo
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enddo
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else
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do j=1,ny
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do i=1,nx
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cl(i+(j-1)*nx)=cos(lat(jj))
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f(i+(j-1)*nx)=0.000145444*sin(lat(jj))
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enddo
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enddo
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endif
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C Determine if data is on levels or layers
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if (stag(3).eq.-0.5) then
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do k=1,nz
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ak(k)=aklay(k)
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bk(k)=bklay(k)
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enddo
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else
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do k=1,nz
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ak(k)=aklev(k)
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bk(k)=bklev(k)
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enddo
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endif
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C Get all the fields
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call gettimes(cdfid1,time,ntimes,ierr)
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C Loop over all times
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write(*,*) 'ntimes = ',ntimes
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do n=1,ntimes
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if (.not.prelev) then
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call getdat(cdfid1,'PS',time(n),0,sp,ierr)
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if (ierr.ne.0) goto 921
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else
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call getdat(cdfid1,'PS',time(n),0,ps,ierr)
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if (ierr.ne.0) goto 921
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endif
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call getdat(cdfid1,'T',time(n),0,tt,ierr)
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if (ierr.ne.0) goto 920
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if ((mode.eq.0).or.(mode.eq.2).or.(mode.eq.4).or.
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> (mode.eq.5).or.(mode.eq.6).or.(mode.eq.1).or.
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> (mode.eq.9).or.(mode.eq.10)) then
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if (qmode.eq.1) then
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call getdat(cdfid1,'Q',time(n),0,qq,ierr)
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else
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call getdat(cdfid1,'QD',time(n),0,qq,ierr)
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endif
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if (ierr.ne.0) goto 922
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endif
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if (mode.lt.9 .or. mode.eq.10) then
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call getdat(cdfid1,'U',time(n),0,uu,ierr)
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if (ierr.ne.0) goto 923
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call getdat(cdfid1,'V',time(n),0,vv,ierr)
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if (ierr.ne.0) goto 924
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if ((mode.eq.0).or.(mode.eq.2).or.(mode.eq.8)) then
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call getdat(cdfid1,'OMEGA',time(n),0,ww,ierr)
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if (ierr.ne.0) goto 925
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endif
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endif
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if (mode.eq.10) then
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C Calculation of the geopotential
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C first get the orography
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call getoro(oro,dx,dy,stdate(1),
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> varmin(1),varmin(2),nx,ny,ierr)
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if (ierr.eq.2) then
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stop '*** error in subrountine getoro ***'
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endif
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call geopot(var,qq,tt,oro,sp,nx,ny,nz,ak,bk)
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if (zdef.eq.0) then
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if (n.eq.1) then
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call putdef(cdfid1,'Z',4,mdv,
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> vardim,varmin,varmax,stag,ierr)
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write(*,*)
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write(*,*)'*** variable Z created on P-file'
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endif
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endif
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call putdat(cdfid1,'Z',time(n),0,var,ierr)
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c goto 900
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endif
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C Create the secondary data file
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if (n.eq.1) then
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cdf_file = 'S'//trim(cdfnam)
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call crecdf(cdf_file,cdfid,varmin,varmax,
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> 3,trim(cstnam),ierr)
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if (ierr.ne.0) goto 996
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write(*,*)
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write(*,*)'*** NetCDF file S',trim(cdfnam),
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> ' created'
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endif
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C Put surface pressure on S-file.
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if (.not.prelev) then
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vardim(3)=1
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if (n.eq.1) then
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call putdef(cdfid,'PS',4,mdv,vardim,varmin,varmax,stag,ierr)
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write(*,*)
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write(*,*)'*** variable PS created on S-file'
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endif
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call putdat(cdfid,'PS',time(n),0,sp,ierr)
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vardim(3)=nz
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else
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vardim(3)=1
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if (n.eq.1) then
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call putdef(cdfid,'PS',4,mdv,vardim,varmin,varmax,stag,ierr)
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write(*,*)
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write(*,*)'*** variable PS created on S-file'
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endif
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call putdat(cdfid,'PS',time(n),0,ps,ierr)
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vardim(3)=nz
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endif
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C Calculate the secondary data variables
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C Calculation of potential temperature
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if (mode.lt.9 .or. mode.eq.10) then
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call pottemp(th,tt,sp,nx,ny,nz,ak,bk)
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if (n.eq.1) then
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call putdef(cdfid,'TH',4,mdv,
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> vardim,varmin,varmax,stag,ierr)
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write(*,*)
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write(*,*)'*** variable TH created on S-file'
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endif
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call putdat(cdfid,'TH',time(n),0,th,ierr)
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endif
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C Calculation of relative humidity
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294 |
if ((mode.eq.0).or.(mode.eq.2).or.(mode.eq.4).or.
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> (mode.eq.5).or.(mode.eq.6).or.(mode.eq.1).or.
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> (mode.eq.10)) then
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297 |
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call relhum(rh,qq,tt,sp,nx,ny,nz,ak,bk)
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299 |
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if (n.eq.1) then
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301 |
call putdef(cdfid,'RH',4,mdv,
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> vardim,varmin,varmax,stag,ierr)
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write(*,*)
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write(*,*)'*** variable RH created on S-file'
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endif
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call putdat(cdfid,'RH',time(n),0,rh,ierr)
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308 |
endif
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C Calculation of relative vorticity
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311 |
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312 |
if (mode.eq.999) then
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313 |
call relvort(var,uu,vv,sp,cl,f,nx,ny,nz,ak,bk,
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> varmin,varmax)
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if (n.eq.1) then
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call putdef(cdfid,'VO',4,mdv,
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> vardim,varmin,varmax,stag,ierr)
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write(*,*)
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write(*,*)'*** variable VO created on S-file'
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endif
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call putdat(cdfid,'VO',time(n),0,var,ierr)
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endif
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C Calculation of potential vorticity
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327 |
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328 |
if (mode.eq.5) then
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call potvort(pv,uu,vv,th,sp,cl,f,nx,ny,nz,ak,bk,
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> varmin,varmax)
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if (n.eq.1) then
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call putdef(cdfid,'PV',4,mdv,
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> vardim,varmin,varmax,stag,ierr)
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write(*,*)
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write(*,*)'*** variable PV created on S-file'
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endif
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call putdat(cdfid,'PV',time(n),0,pv,ierr)
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endif
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341 |
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342 |
C Calculation of equivalent potential temperature
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|
|
343 |
|
|
|
344 |
if ((mode.eq.0).or.(mode.eq.2).or.(mode.eq.1)
|
|
|
345 |
> .or.(mode.eq.10)) then
|
|
|
346 |
call equpot(var,tt,qq,sp,nx,ny,nz,ak,bk)
|
|
|
347 |
|
|
|
348 |
if (n.eq.1) then
|
|
|
349 |
call putdef(cdfid,'THE',4,mdv,
|
|
|
350 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
351 |
write(*,*)
|
|
|
352 |
write(*,*)'*** variable THE created on S-file'
|
|
|
353 |
endif
|
|
|
354 |
call putdat(cdfid,'THE',time(n),0,var,ierr)
|
|
|
355 |
endif
|
|
|
356 |
|
|
|
357 |
C Calculation of wet-bulb potential temperature
|
|
|
358 |
|
|
|
359 |
if ((mode.eq.0).or.(mode.eq.2).or.(mode.eq.4)
|
|
|
360 |
> .or.(mode.eq.1).or.(mode.eq.5)) then
|
|
|
361 |
call equpot(the,tt,qq,sp,nx,ny,nz,ak,bk)
|
|
|
362 |
call wetbpt(var,the,sp,nx,ny,nz,ak,bk)
|
|
|
363 |
|
|
|
364 |
if (n.eq.1) then
|
|
|
365 |
call putdef(cdfid,'THW',4,mdv,
|
|
|
366 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
367 |
write(*,*)
|
|
|
368 |
write(*,*)'*** variable THW created on S-file'
|
|
|
369 |
endif
|
|
|
370 |
|
|
|
371 |
call putdat(cdfid,'THW',time(n),0,var,ierr)
|
|
|
372 |
endif
|
|
|
373 |
|
|
|
374 |
C Calculation of the vertical gradient of the wet-bulb potential
|
|
|
375 |
C temperature
|
|
|
376 |
|
|
|
377 |
if ((mode.eq.4).or.(mode.eq.5)) then
|
|
|
378 |
c if (mode.eq.5) then
|
|
|
379 |
c must calculate thw
|
|
|
380 |
c call equpot(the,tt,qq,sp,nx,ny,nz,ak,bk)
|
|
|
381 |
c call wetbpt(thw,the,sp,nx,ny,nz,ak,bk)
|
|
|
382 |
c endif
|
|
|
383 |
|
|
|
384 |
call dwetbptdp(var,thw,sp,nx,ny,nz,ak,bk)
|
|
|
385 |
|
|
|
386 |
if (n.eq.1) then
|
|
|
387 |
call putdef(cdfid,'DTHWDP',4,mdv,
|
|
|
388 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
389 |
write(*,*)
|
|
|
390 |
write(*,*)'*** variable DTHWDP created on S-file'
|
|
|
391 |
endif
|
|
|
392 |
|
|
|
393 |
call putdat(cdfid,'DTHWDP',time(n),0,var,ierr)
|
|
|
394 |
endif
|
|
|
395 |
|
|
|
396 |
C Calculation of the vertical gradient of potential temperature
|
|
|
397 |
|
|
|
398 |
if ((mode.eq.999).or.(mode.eq.5)) then
|
|
|
399 |
call dpottdp(var,th,sp,nx,ny,nz,ak,bk)
|
|
|
400 |
|
|
|
401 |
if (n.eq.1) then
|
|
|
402 |
call putdef(cdfid,'DTHDP',4,mdv,
|
|
|
403 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
404 |
write(*,*)
|
|
|
405 |
write(*,*)'*** variable DTHDP created on S-file'
|
|
|
406 |
endif
|
|
|
407 |
|
|
|
408 |
call putdat(cdfid,'DTHDP',time(n),0,var,ierr)
|
|
|
409 |
endif
|
|
|
410 |
|
|
|
411 |
C Calculation of the Richardson number
|
|
|
412 |
|
|
|
413 |
if (mode.eq.4) then
|
|
|
414 |
call richardson(var,uu,vv,th,sp,nx,ny,nz,ak,bk,mdv)
|
|
|
415 |
|
|
|
416 |
if (n.eq.1) then
|
|
|
417 |
call putdef(cdfid,'RI',4,mdv,
|
|
|
418 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
419 |
write(*,*)
|
|
|
420 |
write(*,*)'*** variable RI created on S-file'
|
|
|
421 |
endif
|
|
|
422 |
|
|
|
423 |
call putdat(cdfid,'RI',time(n),0,var,ierr)
|
|
|
424 |
endif
|
|
|
425 |
|
|
|
426 |
C Calculation of diabatic heating rate
|
|
|
427 |
|
|
|
428 |
if ((mode.eq.0).or.(mode.eq.2).or.(mode.eq.8)) then
|
|
|
429 |
call diabheat(dhr,th,ww,rh,sp,nx,ny,nz,ak,bk)
|
|
|
430 |
|
|
|
431 |
if (n.eq.1) then
|
|
|
432 |
call putdef(cdfid,'CH',4,mdv,
|
|
|
433 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
434 |
write(*,*)
|
|
|
435 |
write(*,*)'*** variable CH created on S-file'
|
|
|
436 |
endif
|
|
|
437 |
|
|
|
438 |
call putdat(cdfid,'CH',time(n),0,dhr,ierr)
|
|
|
439 |
endif
|
|
|
440 |
|
|
|
441 |
C Calculation of diabatic PV rate
|
|
|
442 |
|
|
|
443 |
if ((mode.eq.0).or.(mode.eq.2).or.(mode.eq.7)) then
|
|
|
444 |
call diabpvr(var,uu,vv,dhr,sp,cl,f,nx,ny,nz,ak,bk,
|
|
|
445 |
> varmin,varmax)
|
|
|
446 |
|
|
|
447 |
if (n.eq.1) then
|
|
|
448 |
call putdef(cdfid,'PVR',4,mdv,
|
|
|
449 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
450 |
write(*,*)
|
|
|
451 |
write(*,*)'*** variable PVR created on S-file'
|
|
|
452 |
endif
|
|
|
453 |
|
|
|
454 |
call putdat(cdfid,'PVR',time(n),0,var,ierr)
|
|
|
455 |
endif
|
|
|
456 |
|
|
|
457 |
C Calculation of the geopotential
|
|
|
458 |
|
|
|
459 |
if (mode.eq.9) then
|
|
|
460 |
|
|
|
461 |
C first get the orography
|
|
|
462 |
call getoro(oro,dx,dy,stdate(1),
|
|
|
463 |
> varmin(1),varmin(2),nx,ny,ierr)
|
|
|
464 |
if (ierr.eq.2) then
|
|
|
465 |
stop '*** error in subrountine getoro ***'
|
|
|
466 |
endif
|
|
|
467 |
|
|
|
468 |
call geopot(var,qq,tt,oro,sp,nx,ny,nz,ak,bk)
|
|
|
469 |
|
|
|
470 |
if (n.eq.1) then
|
|
|
471 |
call putdef(cdfid,'Z',4,mdv,
|
|
|
472 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
473 |
write(*,*)
|
|
|
474 |
write(*,*)'*** variable Z created on S-file'
|
|
|
475 |
endif
|
|
|
476 |
|
|
|
477 |
call putdat(cdfid,'Z',time(n),0,var,ierr)
|
|
|
478 |
endif
|
|
|
479 |
|
|
|
480 |
C Calculation of the theta gradient
|
|
|
481 |
|
|
|
482 |
if (mode.eq.11) then
|
|
|
483 |
|
|
|
484 |
call pottemp(th,tt,sp,nx,ny,nz,ak,bk)
|
|
|
485 |
call gradth(var,th,sp,prelev,cl,nx,ny,nz,ak,bk,varmin,varmax)
|
|
|
486 |
|
|
|
487 |
if (n.eq.1) then
|
|
|
488 |
call putdef(cdfid,'GRADTH',4,mdv,
|
|
|
489 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
490 |
write(*,*)
|
|
|
491 |
write(*,*)'*** variable GRADTH created on S-file'
|
|
|
492 |
endif
|
|
|
493 |
|
|
|
494 |
call putdat(cdfid,'GRADTH',time(n),0,var,ierr)
|
|
|
495 |
endif
|
|
|
496 |
|
|
|
497 |
C Calculate Real W-E and N-S winds
|
|
|
498 |
|
|
|
499 |
if (mode.eq.4) then
|
|
|
500 |
if ((pollon.ne.0.).or.(pollat.ne.90.)) then
|
|
|
501 |
do k=1,nz
|
|
|
502 |
do j=1,ny
|
|
|
503 |
lat_eq=varmin(2)+(j-1)*dy
|
|
|
504 |
do i=1,nx
|
|
|
505 |
lon_eq=varmin(1)+(i-1)*dx
|
|
|
506 |
kk=i+(j-1)*nx+(k-1)*nx*ny
|
|
|
507 |
u_ll=uvtougm(uu(kk),vv(kk),lon_eq,lat_eq,pollon,pollat)
|
|
|
508 |
v_ll=uvtovgm(uu(kk),vv(kk),lon_eq,lat_eq,pollon,pollat)
|
|
|
509 |
uu(kk)=u_ll
|
|
|
510 |
vv(kk)=v_ll
|
|
|
511 |
enddo
|
|
|
512 |
enddo
|
|
|
513 |
enddo
|
|
|
514 |
if (n.eq.1) then
|
|
|
515 |
call putdef(cdfid,'UREAL',4,mdv,
|
|
|
516 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
517 |
write(*,*)
|
|
|
518 |
write(*,*)'*** variable UREAL created on S-file'
|
|
|
519 |
endif
|
|
|
520 |
|
|
|
521 |
call putdat(cdfid,'UREAL',time(n),0,uu,ierr)
|
|
|
522 |
|
|
|
523 |
if (n.eq.1) then
|
|
|
524 |
call putdef(cdfid,'VREAL',4,mdv,
|
|
|
525 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
526 |
write(*,*)
|
|
|
527 |
write(*,*)'*** variable VREAL created on S-file'
|
|
|
528 |
endif
|
|
|
529 |
|
|
|
530 |
call putdat(cdfid,'VREAL',time(n),0,vv,ierr)
|
|
|
531 |
endif
|
|
|
532 |
endif
|
|
|
533 |
|
|
|
534 |
CSue Calculate f*geostrophic winds
|
|
|
535 |
|
|
|
536 |
if (mode.eq.999) then
|
|
|
537 |
|
|
|
538 |
C first get the orography
|
|
|
539 |
call getoro(oro,dx,dy,stdate(1),
|
|
|
540 |
> varmin(1),varmin(2),nx,ny,ierr)
|
|
|
541 |
if (ierr.eq.2) then
|
|
|
542 |
stop '*** error in subroutine getoro ***'
|
|
|
543 |
endif
|
|
|
544 |
|
|
|
545 |
call geopot(var,qq,tt,oro,sp,nx,ny,nz,ak,bk)
|
|
|
546 |
|
|
|
547 |
|
|
|
548 |
C Then calculate the horizontal derivatives
|
|
|
549 |
|
|
|
550 |
if (prelev) then
|
|
|
551 |
call ddh2(var,dvardx,cl,'X',nx,ny,1,varmin,varmax)
|
|
|
552 |
call ddh2(var,dvardy,cl,'Y',nx,ny,1,varmin,varmax)
|
|
|
553 |
else
|
|
|
554 |
call ddh2(sp,dspdx,cl,'X',nx,ny,1,varmin,varmax)
|
|
|
555 |
call ddh2(sp,dspdy,cl,'Y',nx,ny,1,varmin,varmax)
|
|
|
556 |
call ddh3(var,dvardx,sp,dspdx,cl,'X',nx,ny,nz,
|
|
|
557 |
> varmin,varmax,ak,bk)
|
|
|
558 |
call ddh3(var,dvardy,sp,dspdy,cl,'Y',nx,ny,nz,
|
|
|
559 |
> varmin,varmax,ak,bk)
|
|
|
560 |
endif
|
|
|
561 |
|
|
|
562 |
|
|
|
563 |
C Finally calculate Real W-E and N-S geostrophic winds
|
|
|
564 |
|
|
|
565 |
if ((pollon.ne.0.).or.(pollat.ne.90.)) then
|
|
|
566 |
do k=1,nz
|
|
|
567 |
do j=1,ny
|
|
|
568 |
lat_eq=varmin(2)+(j-1)*dy
|
|
|
569 |
do i=1,nx
|
|
|
570 |
lon_eq=varmin(1)+(i-1)*dx
|
|
|
571 |
kk=i+(j-1)*nx+(k-1)*nx*ny
|
|
|
572 |
fug(kk) = -9.806665*dvardy(kk)
|
|
|
573 |
fvg(kk) = 9.806665*dvardx(kk)
|
|
|
574 |
u_ll=uvtougm(fug(kk),fvg(kk),
|
|
|
575 |
> lon_eq,lat_eq,pollon,pollat)
|
|
|
576 |
v_ll=uvtovgm(fug(kk),fvg(kk),
|
|
|
577 |
> lon_eq,lat_eq,pollon,pollat)
|
|
|
578 |
fug(kk)=u_ll
|
|
|
579 |
fvg(kk)=v_ll
|
|
|
580 |
enddo
|
|
|
581 |
enddo
|
|
|
582 |
enddo
|
|
|
583 |
else
|
|
|
584 |
do k=1,nz
|
|
|
585 |
do j=1,ny
|
|
|
586 |
do i=1,nx
|
|
|
587 |
kk=i+(j-1)*nx+(k-1)*nx*ny
|
|
|
588 |
fug(kk) = -9.806665*dvardy(kk)
|
|
|
589 |
fvg(kk) = 9.806665*dvardx(kk)
|
|
|
590 |
enddo
|
|
|
591 |
enddo
|
|
|
592 |
enddo
|
|
|
593 |
endif
|
|
|
594 |
c write(21) fug
|
|
|
595 |
c write(22) fvg
|
|
|
596 |
c write(23) f
|
|
|
597 |
|
|
|
598 |
if (n.eq.1) then
|
|
|
599 |
call putdef(cdfid,'FUGREAL',4,mdv,
|
|
|
600 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
601 |
write(*,*)
|
|
|
602 |
write(*,*)'*** variable FUGREAL created on S-file'
|
|
|
603 |
endif
|
|
|
604 |
|
|
|
605 |
call putdat(cdfid,'FUGREAL',time(n),0,fug,ierr)
|
|
|
606 |
|
|
|
607 |
if (n.eq.1) then
|
|
|
608 |
call putdef(cdfid,'FVGREAL',4,mdv,
|
|
|
609 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
610 |
write(*,*)
|
|
|
611 |
write(*,*)'*** variable FVGREAL created on S-file'
|
|
|
612 |
endif
|
|
|
613 |
|
|
|
614 |
call putdat(cdfid,'FVGREAL',time(n),0,fvg,ierr)
|
|
|
615 |
|
|
|
616 |
endif ! if mode
|
|
|
617 |
|
|
|
618 |
CSue Calculate smoothed geostrophic winds
|
|
|
619 |
|
|
|
620 |
if (mode.eq.4) then
|
|
|
621 |
|
|
|
622 |
C first get the orography
|
|
|
623 |
call getoro(oro,dx,dy,stdate(1),
|
|
|
624 |
> varmin(1),varmin(2),nx,ny,ierr)
|
|
|
625 |
if (ierr.eq.2) then
|
|
|
626 |
stop '*** error in subroutine getoro ***'
|
|
|
627 |
endif
|
|
|
628 |
|
|
|
629 |
call geopot(var,qq,tt,oro,sp,nx,ny,nz,ak,bk)
|
|
|
630 |
|
|
|
631 |
|
|
|
632 |
C Then calculate the horizontal derivatives
|
|
|
633 |
|
|
|
634 |
if (prelev) then
|
|
|
635 |
call ddh2(var,dvardx,cl,'X',nx,ny,1,varmin,varmax)
|
|
|
636 |
call ddh2(var,dvardy,cl,'Y',nx,ny,1,varmin,varmax)
|
|
|
637 |
else
|
|
|
638 |
call ddh2(sp,dspdx,cl,'X',nx,ny,1,varmin,varmax)
|
|
|
639 |
call ddh2(sp,dspdy,cl,'Y',nx,ny,1,varmin,varmax)
|
|
|
640 |
call ddh3(var,dvardx,sp,dspdx,cl,'X',nx,ny,nz,
|
|
|
641 |
> varmin,varmax,ak,bk)
|
|
|
642 |
call ddh3(var,dvardy,sp,dspdy,cl,'Y',nx,ny,nz,
|
|
|
643 |
> varmin,varmax,ak,bk)
|
|
|
644 |
endif
|
|
|
645 |
|
|
|
646 |
|
|
|
647 |
c Calculated model grid orientated ug and vg
|
|
|
648 |
do k=1,nz
|
|
|
649 |
do j=1,ny
|
|
|
650 |
do i=1,nx
|
|
|
651 |
kk=i+(j-1)*nx+(k-1)*nx*ny
|
|
|
652 |
jj=i+(j-1)*nx
|
|
|
653 |
ug(kk) = -9.806665*dvardy(kk)/f(jj)
|
|
|
654 |
vg(kk) = 9.806665*dvardx(kk)/f(jj)
|
|
|
655 |
enddo
|
|
|
656 |
enddo
|
|
|
657 |
enddo
|
|
|
658 |
|
|
|
659 |
|
|
|
660 |
c Smooth winds
|
|
|
661 |
c data weight/1, 2, 1, 2, 3, 2, 1, 2, 1/
|
|
|
662 |
data weight/49*1/
|
|
|
663 |
do k=1,nz
|
|
|
664 |
do j=1,ny
|
|
|
665 |
do i=1,nx
|
|
|
666 |
kk=i+(j-1)*nx+(k-1)*nx*ny
|
|
|
667 |
sumweight = 0
|
|
|
668 |
do jw = 1, w
|
|
|
669 |
do iw = 1, w
|
|
|
670 |
iiw = i+iw-(int(w/2.)+1)
|
|
|
671 |
jjw = j+jw-(int(w/2.)+1)
|
|
|
672 |
if (iiw.lt.1) iiw = 1
|
|
|
673 |
if (jjw.lt.1) jjw = 1
|
|
|
674 |
|
|
|
675 |
c if (iiw.gt.nx) then
|
|
|
676 |
c write(*,*) 'nx ',nx,' ny ',ny,' i ',i,' j ',j
|
|
|
677 |
c write(*,*) 'jw ',jw,' iw ',iw
|
|
|
678 |
c write(*,*) 'ug ', ug(iiw+(jjw-1)*nx+(k-1)*nx*ny),
|
|
|
679 |
c > 'vg ', vg(iiw+(jjw-1)*nx+(k-1)*nx*ny)
|
|
|
680 |
c do tmpjw = 1, w
|
|
|
681 |
c do tmpiw = 1, w
|
|
|
682 |
c tmpiiw = i+tmpiw-(int(w/2.)+1)
|
|
|
683 |
c tmpjjw = j+tmpjw-(int(w/2.)+1)
|
|
|
684 |
c if (tmpiiw.lt.1) tmpiiw = 1
|
|
|
685 |
c if (tmpjjw.lt.1) tmpjjw = 1
|
|
|
686 |
c if (tmpiiw.gt.nx) tmpiiw = nx
|
|
|
687 |
c if (tmpjjw.gt.ny) tmpjjw = ny
|
|
|
688 |
c kkw = tmpiiw+(tmpjjw-1)*nx+(k-1)*nx*ny
|
|
|
689 |
c write(*,*) 'tmpiiw ', tmpiiw,' tmpjjw ', tmpjjw,
|
|
|
690 |
c > ' vg ',vg(kkw),' vg ',vg(kkw)
|
|
|
691 |
c enddo
|
|
|
692 |
c enddo
|
|
|
693 |
c stop
|
|
|
694 |
c endif
|
|
|
695 |
|
|
|
696 |
if (iiw.gt.nx) iiw = nx
|
|
|
697 |
if (jjw.gt.ny) jjw = ny
|
|
|
698 |
kkw = iiw+(jjw-1)*nx+(k-1)*nx*ny
|
|
|
699 |
tmpu(kk) = tmpu(kk) + ug(kkw)*weight(iw,jw)
|
|
|
700 |
tmpv(kk) = tmpv(kk) + vg(kkw)*weight(iw,jw)
|
|
|
701 |
sumweight = sumweight+weight(iw,jw)
|
|
|
702 |
enddo
|
|
|
703 |
enddo
|
|
|
704 |
tmpu(kk) = tmpu(kk)/sumweight
|
|
|
705 |
tmpv(kk) = tmpv(kk)/sumweight
|
|
|
706 |
enddo
|
|
|
707 |
enddo
|
|
|
708 |
enddo
|
|
|
709 |
|
|
|
710 |
do k=1,nz
|
|
|
711 |
do j=1,ny
|
|
|
712 |
do i=1,nx
|
|
|
713 |
kk=i+(j-1)*nx+(k-1)*nx*ny
|
|
|
714 |
ug(kk) = tmpu(kk)
|
|
|
715 |
vg(kk) = tmpv(kk)
|
|
|
716 |
enddo
|
|
|
717 |
enddo
|
|
|
718 |
enddo
|
|
|
719 |
|
|
|
720 |
C Finally calculate Real W-E and N-S geostrophic winds
|
|
|
721 |
|
|
|
722 |
if ((pollon.ne.0.).or.(pollat.ne.90.)) then
|
|
|
723 |
do k=1,nz
|
|
|
724 |
do j=1,ny
|
|
|
725 |
lat_eq=varmin(2)+(j-1)*dy
|
|
|
726 |
do i=1,nx
|
|
|
727 |
lon_eq=varmin(1)+(i-1)*dx
|
|
|
728 |
kk=i+(j-1)*nx+(k-1)*nx*ny
|
|
|
729 |
jj=i+(j-1)*nx
|
|
|
730 |
u_ll=uvtougm(ug(kk),vg(kk),
|
|
|
731 |
> lon_eq,lat_eq,pollon,pollat)
|
|
|
732 |
v_ll=uvtovgm(ug(kk),vg(kk),
|
|
|
733 |
> lon_eq,lat_eq,pollon,pollat)
|
|
|
734 |
ug(kk)=u_ll
|
|
|
735 |
vg(kk)=v_ll
|
|
|
736 |
enddo
|
|
|
737 |
enddo
|
|
|
738 |
enddo
|
|
|
739 |
endif
|
|
|
740 |
c write(21) fug
|
|
|
741 |
c write(22) fvg
|
|
|
742 |
c write(23) f
|
|
|
743 |
|
|
|
744 |
c open(111,file='ug.dat',status = 'unknown',form = 'unformatted')
|
|
|
745 |
c write(111) ug
|
|
|
746 |
c open(112,file='vg.dat',status = 'unknown',form = 'unformatted')
|
|
|
747 |
c write(112) vg
|
|
|
748 |
c open(113,file='geo.dat',status = 'unknown',form = 'unformatted')
|
|
|
749 |
c write(113) var
|
|
|
750 |
c stop
|
|
|
751 |
|
|
|
752 |
if (n.eq.1) then
|
|
|
753 |
call putdef(cdfid,'UGREAL',4,mdv,
|
|
|
754 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
755 |
write(*,*)
|
|
|
756 |
write(*,*)'*** variable UGREAL created on S-file'
|
|
|
757 |
endif
|
|
|
758 |
|
|
|
759 |
call putdat(cdfid,'UGREAL',time(n),0,ug,ierr)
|
|
|
760 |
|
|
|
761 |
if (n.eq.1) then
|
|
|
762 |
call putdef(cdfid,'VGREAL',4,mdv,
|
|
|
763 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
764 |
write(*,*)
|
|
|
765 |
write(*,*)'*** variable VGREAL created on S-file'
|
|
|
766 |
endif
|
|
|
767 |
|
|
|
768 |
call putdat(cdfid,'VGREAL',time(n),0,vg,ierr)
|
|
|
769 |
|
|
|
770 |
|
|
|
771 |
cSue Calculate geostropic momentum components
|
|
|
772 |
|
|
|
773 |
do k=1,nz
|
|
|
774 |
do j=1,ny
|
|
|
775 |
do i=1,nx
|
|
|
776 |
jj=i+(j-1)*nx
|
|
|
777 |
kk=i+(j-1)*nx+(k-1)*nx*ny
|
|
|
778 |
Mg(kk) = 0.000145444*6.378e6*sin(lat(jj))*
|
|
|
779 |
> (lon(jj) - lon(1))*cos(lat(jj))
|
|
|
780 |
> + vg(kk)
|
|
|
781 |
Ng(kk) = 0.000145444*6.378e6*
|
|
|
782 |
> (cos(lat(1)) - cos(lat(jj))) -
|
|
|
783 |
> ug(kk)
|
|
|
784 |
enddo
|
|
|
785 |
enddo
|
|
|
786 |
enddo
|
|
|
787 |
|
|
|
788 |
if (n.eq.1) then
|
|
|
789 |
call putdef(cdfid,'MGREAL',4,mdv,
|
|
|
790 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
791 |
write(*,*)
|
|
|
792 |
write(*,*)'*** variable MGREAL created on S-file'
|
|
|
793 |
endif
|
|
|
794 |
|
|
|
795 |
call putdat(cdfid,'MGREAL',time(n),0,Mg,ierr)
|
|
|
796 |
|
|
|
797 |
if (n.eq.1) then
|
|
|
798 |
call putdef(cdfid,'NGREAL',4,mdv,
|
|
|
799 |
> vardim,varmin,varmax,stag,ierr)
|
|
|
800 |
write(*,*)
|
|
|
801 |
write(*,*)'*** variable NGREAL created on S-file'
|
|
|
802 |
endif
|
|
|
803 |
|
|
|
804 |
call putdat(cdfid,'NGREAL',time(n),0,Ng,ierr)
|
|
|
805 |
|
|
|
806 |
endif
|
|
|
807 |
|
|
|
808 |
enddo !loop over n
|
|
|
809 |
|
|
|
810 |
|
|
|
811 |
C Close the NetCDF files
|
|
|
812 |
|
|
|
813 |
call clscdf(cdfid,ierr)
|
|
|
814 |
900 continue
|
|
|
815 |
call clscdf(cdfid1,ierr)
|
|
|
816 |
call clscdf(cstid,ierr)
|
|
|
817 |
|
|
|
818 |
goto 999
|
|
|
819 |
|
|
|
820 |
920 stop '*** error: variable T not found on P-file ***'
|
|
|
821 |
921 stop '*** error: variable PS not found on P-file ***'
|
|
|
822 |
922 stop '*** error: variable Q not found on P-file ***'
|
|
|
823 |
923 stop '*** error: variable U not found on P-file ***'
|
|
|
824 |
924 stop '*** error: variable V not found on P-file ***'
|
|
|
825 |
925 stop '*** error: variable OMEGA not found on P-file ***'
|
|
|
826 |
|
|
|
827 |
996 stop '*** error: could not create S-file ***'
|
|
|
828 |
999 continue
|
|
|
829 |
end
|
|
|
830 |
|
|
|
831 |
subroutine pottemp(pt,t,sp,ie,je,ke,ak,bk)
|
|
|
832 |
c ==========================================
|
|
|
833 |
|
|
|
834 |
c argument declaration
|
|
|
835 |
integer ie,je,ke
|
|
|
836 |
real pt(ie,je,ke),t(ie,je,ke),sp(ie,je),
|
|
|
837 |
> ak(ke),bk(ke)
|
|
|
838 |
|
|
|
839 |
c variable declaration
|
|
|
840 |
integer i,j,k
|
|
|
841 |
real rdcp,tzero
|
|
|
842 |
data rdcp,tzero /0.286,273.15/
|
|
|
843 |
|
|
|
844 |
c statement-functions for the computation of pressure
|
|
|
845 |
real pp,psrf
|
|
|
846 |
integer is
|
|
|
847 |
pp(is)=ak(is)+bk(is)*psrf
|
|
|
848 |
|
|
|
849 |
c computation of potential temperature
|
|
|
850 |
do i=1,ie
|
|
|
851 |
do j=1,je
|
|
|
852 |
psrf=sp(i,j)
|
|
|
853 |
do k=1,ke
|
|
|
854 |
c distinction of temperature in K and deg C
|
|
|
855 |
if (t(i,j,k).lt.100.) then
|
|
|
856 |
pt(i,j,k)=(t(i,j,k)+tzero)*( (1000./pp(k))**rdcp )
|
|
|
857 |
else
|
|
|
858 |
pt(i,j,k)=t(i,j,k)*( (1000./pp(k))**rdcp )
|
|
|
859 |
endif
|
|
|
860 |
enddo
|
|
|
861 |
enddo
|
|
|
862 |
enddo
|
|
|
863 |
end
|
|
|
864 |
|
|
|
865 |
subroutine gradth(gth,th,sp,prelev,cl,ie,je,ke,ak,bk,vmin,vmax)
|
|
|
866 |
C ===============================================================
|
|
|
867 |
|
|
|
868 |
c argument declaration
|
|
|
869 |
integer ie,je,ke
|
|
|
870 |
real gth(ie,je,ke),th(ie,je,ke),sp(ie,je),cl(ie,je)
|
|
|
871 |
real ak(ke),bk(ke),vmin(4),vmax(4)
|
|
|
872 |
logical prelev
|
|
|
873 |
|
|
|
874 |
c variable declaration
|
|
|
875 |
include "um_dims.inc"
|
|
|
876 |
real dthdx(nxmax*nymax*nzmax),dthdy(nxmax*nymax*nzmax)
|
|
|
877 |
real dspdx(nxmax*nymax),dspdy(nxmax*nymax)
|
|
|
878 |
integer i,j,k,ind,ind2
|
|
|
879 |
|
|
|
880 |
if (prelev) then
|
|
|
881 |
call ddh2(th,dthdx,cl,'X',ie,je,1,vmin,vmax)
|
|
|
882 |
call ddh2(th,dthdy,cl,'Y',ie,je,1,vmin,vmax)
|
|
|
883 |
else
|
|
|
884 |
call ddh2(sp,dspdx,cl,'X',ie,je,1,vmin,vmax)
|
|
|
885 |
call ddh2(sp,dspdy,cl,'Y',ie,je,1,vmin,vmax)
|
|
|
886 |
call ddh3(th,dthdx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
887 |
call ddh3(th,dthdy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
888 |
endif
|
|
|
889 |
|
|
|
890 |
do j=1,je
|
|
|
891 |
do i=1,ie
|
|
|
892 |
ind2=i+(j-1)*ie
|
|
|
893 |
do k=1,ke
|
|
|
894 |
ind=ind2+(k-1)*ie*je
|
|
|
895 |
gth(i,j,k)=sqrt(dthdx(ind)**2.+dthdy(ind)**2.)
|
|
|
896 |
enddo
|
|
|
897 |
enddo
|
|
|
898 |
enddo
|
|
|
899 |
end
|
|
|
900 |
|
|
|
901 |
subroutine geopot(psi,q,t,oro,sp,ie,je,ke,ak,bk)
|
|
|
902 |
c ================================================
|
|
|
903 |
|
|
|
904 |
c argument declaration
|
|
|
905 |
integer ie,je,ke
|
|
|
906 |
real psi(ie,je,ke),t(ie,je,ke),q(ie,je,ke),oro(ie,je),
|
|
|
907 |
> sp(ie,je),ak(ke),bk(ke)
|
|
|
908 |
|
|
|
909 |
c variable declaration
|
|
|
910 |
integer i,j,k
|
|
|
911 |
real r,c,g
|
|
|
912 |
data r,c,g /287.,0.608,9.8/
|
|
|
913 |
|
|
|
914 |
c statement-functions for the computation of pressure
|
|
|
915 |
real pp,psrf
|
|
|
916 |
integer is
|
|
|
917 |
pp(is)=ak(is)+bk(is)*psrf
|
|
|
918 |
|
|
|
919 |
c integration of geopotential height(special for first layer)
|
|
|
920 |
do i=1,ie
|
|
|
921 |
do j=1,je
|
|
|
922 |
psrf=sp(i,j)
|
|
|
923 |
psi(i,j,1)=oro(i,j)+r/g*
|
|
|
924 |
> ((t(i,j,1)+273.15)*(1.+c*q(i,j,1))*
|
|
|
925 |
> (psrf-pp(1))/(0.5*(psrf+pp(1))))
|
|
|
926 |
c psi(i,j,1)=1./g*(oro(i,j)
|
|
|
927 |
c > +r*(t(i,j,1)+273.15)*(1.+c*q(i,j,1))*
|
|
|
928 |
c > (psrf-pp(1))/(0.5*(psrf+pp(1))))
|
|
|
929 |
enddo
|
|
|
930 |
enddo
|
|
|
931 |
do j=1,je
|
|
|
932 |
do i=1,ie
|
|
|
933 |
psrf=sp(i,j)
|
|
|
934 |
do k=2,ke
|
|
|
935 |
psi(i,j,k)=psi(i,j,k-1)+r/g*
|
|
|
936 |
> ((t(i,j,k-1)+273.15)*(1.+c*q(i,j,k-1))+
|
|
|
937 |
> (t(i,j,k)+273.15)*(1.+c*q(i,j,k)))*
|
|
|
938 |
> (pp(k-1)-pp(k))/(pp(k-1)+pp(k))
|
|
|
939 |
enddo
|
|
|
940 |
enddo
|
|
|
941 |
enddo
|
|
|
942 |
end
|
|
|
943 |
|
|
|
944 |
subroutine getoro(oro,dx,dy,starty,lonmin,latmin,ie,je,ierr)
|
|
|
945 |
c ===========================================================
|
|
|
946 |
c reads the orography for the actual data domain from file
|
|
|
947 |
|
|
|
948 |
include 'netcdf.inc'
|
|
|
949 |
include "um_dims.inc"
|
|
|
950 |
|
|
|
951 |
c argument declaration
|
|
|
952 |
integer ie,je
|
|
|
953 |
real or(nxmax*nymax)
|
|
|
954 |
real oro(ie,je), fld(nxmax,nymax)
|
|
|
955 |
|
|
|
956 |
c variable declaration
|
|
|
957 |
integer look(45)
|
|
|
958 |
real rook(19)
|
|
|
959 |
character*52 name
|
|
|
960 |
character*52 filename
|
|
|
961 |
integer starty
|
|
|
962 |
|
|
|
963 |
c open file with orography values and get them
|
|
|
964 |
c write(*,*) 'Inset name of orography file'
|
|
|
965 |
c read(*,*) name
|
|
|
966 |
c filename = '/export/wombat/wombat-01/sws98slg/'//name
|
|
|
967 |
write(*,*) ' Using orography file MESO17_orog_high_res.pp '
|
|
|
968 |
open(10,file =
|
|
|
969 |
>'/export/cloud/stingjet/rb904381/umdata/orog_NAE.pp32',
|
|
|
970 |
> form = 'unformatted', status = 'old')
|
|
|
971 |
cNH >'/export/wombat/wombat-01/sws98slg/MESO17_orog_high_res.pp',
|
|
|
972 |
cNH > form = 'unformatted', status = 'old')
|
|
|
973 |
c open(10,file = '/export/wombat/wombat-01/sws98slg/'//name,
|
|
|
974 |
c > form = 'unformatted', status = 'old')
|
|
|
975 |
read(10) look, rook
|
|
|
976 |
nx = look(19)
|
|
|
977 |
ny = look(18)
|
|
|
978 |
read(10) (or(i), i = 1, nx*ny)
|
|
|
979 |
close(10)
|
|
|
980 |
|
|
|
981 |
c data written starting at N-W corner, following loops assign data from S-W
|
|
|
982 |
c corner and write out.
|
|
|
983 |
do j = ny-1,0,-1
|
|
|
984 |
i = j*nx
|
|
|
985 |
do n = 1, nx
|
|
|
986 |
fld(n,ny-j) = or(n+i)
|
|
|
987 |
enddo
|
|
|
988 |
enddo
|
|
|
989 |
do i=1,ie
|
|
|
990 |
do j=1,je
|
|
|
991 |
oro(i,j)=fld(i+1,j+1)
|
|
|
992 |
enddo
|
|
|
993 |
enddo
|
|
|
994 |
|
|
|
995 |
|
|
|
996 |
end
|
|
|
997 |
|
|
|
998 |
subroutine wetbpt(thw,the,sp,ie,je,ke,ak,bk)
|
|
|
999 |
c ============================================
|
|
|
1000 |
|
|
|
1001 |
c argument declaration
|
|
|
1002 |
integer ie,je,ke
|
|
|
1003 |
real thw(ie,je,ke),the(ie,je,ke),
|
|
|
1004 |
> sp(ie,je),ak(ke),bk(ke)
|
|
|
1005 |
|
|
|
1006 |
c variable declaration
|
|
|
1007 |
real tsa
|
|
|
1008 |
integer i,j,k
|
|
|
1009 |
|
|
|
1010 |
do k=1,ke
|
|
|
1011 |
do j=1,je
|
|
|
1012 |
do i=1,ie
|
|
|
1013 |
thw(i,j,k)=tsa(the(i,j,k)-273.15,1000.)+273.15
|
|
|
1014 |
enddo
|
|
|
1015 |
enddo
|
|
|
1016 |
enddo
|
|
|
1017 |
end
|
|
|
1018 |
|
|
|
1019 |
subroutine dwetbptdp(dthwdp,thw,sp,ie,je,ke,ak,bk)
|
|
|
1020 |
c ==================================================
|
|
|
1021 |
|
|
|
1022 |
c argument declaration
|
|
|
1023 |
integer ie,je,ke
|
|
|
1024 |
real dthwdp(ie,je,ke),thw(ie,je,ke),
|
|
|
1025 |
> sp(ie,je),ak(ke),bk(ke)
|
|
|
1026 |
|
|
|
1027 |
call ddp(thw,dthwdp,sp,ie,je,ke,ak,bk)
|
|
|
1028 |
|
|
|
1029 |
end
|
|
|
1030 |
|
|
|
1031 |
subroutine dpottdp(dthdp,th,sp,ie,je,ke,ak,bk)
|
|
|
1032 |
c ==============================================
|
|
|
1033 |
|
|
|
1034 |
c argument declaration
|
|
|
1035 |
integer ie,je,ke
|
|
|
1036 |
real dthdp(ie,je,ke),th(ie,je,ke),
|
|
|
1037 |
> sp(ie,je),ak(ke),bk(ke)
|
|
|
1038 |
|
|
|
1039 |
call ddp(th,dthdp,sp,ie,je,ke,ak,bk)
|
|
|
1040 |
|
|
|
1041 |
end
|
|
|
1042 |
|
|
|
1043 |
subroutine richardson(ri,uu,vv,th,sp,ie,je,ke,ak,bk,mdv)
|
|
|
1044 |
c ========================================================
|
|
|
1045 |
|
|
|
1046 |
c argument declaration
|
|
|
1047 |
integer ie,je,ke
|
|
|
1048 |
real ri(ie,je,ke),uu(ie,je,ke),vv(ie,je,ke),
|
|
|
1049 |
> th(ie,je,ke),sp(ie,je),ak(ke),bk(ke),mdv
|
|
|
1050 |
c variable declaration
|
|
|
1051 |
include "um_dims.inc"
|
|
|
1052 |
real vel(nxmax,nymax,nzmax),dthdp(nxmax,nymax,nzmax),
|
|
|
1053 |
& dveldp(nxmax,nymax,nzmax)
|
|
|
1054 |
|
|
|
1055 |
c statement-functions for the computation of pressure
|
|
|
1056 |
real pp,psrf
|
|
|
1057 |
integer is
|
|
|
1058 |
pp(is)=ak(is)+bk(is)*psrf
|
|
|
1059 |
|
|
|
1060 |
do k=1,ke
|
|
|
1061 |
do j=1,je
|
|
|
1062 |
do i=1,ie
|
|
|
1063 |
vel(i,j,k)=(uu(i,j,k)**2.+vv(i,j,k)**2.)**0.5
|
|
|
1064 |
enddo
|
|
|
1065 |
enddo
|
|
|
1066 |
enddo
|
|
|
1067 |
|
|
|
1068 |
call ddp(th,dthdp,sp,ie,je,ke,ak,bk)
|
|
|
1069 |
call ddp(vel,dveldp,sp,ie,je,ke,ak,bk)
|
|
|
1070 |
|
|
|
1071 |
c computation of the richardson number
|
|
|
1072 |
c use: kappa-1 = -0.714
|
|
|
1073 |
c p0**(-kappa) = 0.0372
|
|
|
1074 |
do i=1,ie
|
|
|
1075 |
do j=1,je
|
|
|
1076 |
psrf=sp(i,j)
|
|
|
1077 |
do k=1,ke
|
|
|
1078 |
if (abs(dveldp(i,j,k)).lt.0.0001) then
|
|
|
1079 |
ri(i,j,k)=1000.
|
|
|
1080 |
else
|
|
|
1081 |
ri(i,j,k)=-287.*((100.*pp(k))**(-.714))*.0372*
|
|
|
1082 |
> dthdp(i,j,k)/(dveldp(i,j,k)**2.)
|
|
|
1083 |
endif
|
|
|
1084 |
if (ri(i,j,k).gt.1000.) ri(i,j,k)=1000.
|
|
|
1085 |
enddo
|
|
|
1086 |
enddo
|
|
|
1087 |
enddo
|
|
|
1088 |
|
|
|
1089 |
end
|
|
|
1090 |
|
|
|
1091 |
real function tsa(os,p)
|
|
|
1092 |
c =======================
|
|
|
1093 |
|
|
|
1094 |
C This function returns the temperature tsa (celsius) on a saturation
|
|
|
1095 |
C adiabat at pressure p (millibars). os is the equivalent potential
|
|
|
1096 |
C temperature of the parcel (celsius). sign(a,b) replaces the
|
|
|
1097 |
C algebraic sign of a with that of b.
|
|
|
1098 |
C b is an empirical constant approximately equal to 0.001 of the latent
|
|
|
1099 |
C heat of vaporization for water divided by the specific heat at constant
|
|
|
1100 |
C pressure for dry air.
|
|
|
1101 |
|
|
|
1102 |
real a,b,os,p,tq,d,tqk,x,w
|
|
|
1103 |
integer i
|
|
|
1104 |
|
|
|
1105 |
data b/2.6518986/
|
|
|
1106 |
a=os+273.16
|
|
|
1107 |
|
|
|
1108 |
C tq is the first guess for tsa
|
|
|
1109 |
|
|
|
1110 |
tq=253.16
|
|
|
1111 |
|
|
|
1112 |
C d is an initial value used in the iteration below
|
|
|
1113 |
|
|
|
1114 |
d=120.
|
|
|
1115 |
|
|
|
1116 |
C Iterate to obtain sufficient accuracy....see table 1, p.8
|
|
|
1117 |
C of Stipanuk (1973) for equation used in iteration
|
|
|
1118 |
do 1 i=1,12
|
|
|
1119 |
tqk=tq-273.16
|
|
|
1120 |
d=d/2.
|
|
|
1121 |
x=a*exp(-b*w(tqk,p)/tq)-tq*((1000./p)**.286)
|
|
|
1122 |
if (abs(x).lt.1e-7) go to 2
|
|
|
1123 |
tq=tq+sign(d,x)
|
|
|
1124 |
1 continue
|
|
|
1125 |
2 tsa=tq-273.16
|
|
|
1126 |
end
|
|
|
1127 |
|
|
|
1128 |
real function w(t,p)
|
|
|
1129 |
c ====================
|
|
|
1130 |
|
|
|
1131 |
C This function returns the mixing ratio (grams of water vapor per
|
|
|
1132 |
C kilogram of dry air) given the dew point (celsius) and pressure
|
|
|
1133 |
C (millibars). If the temperature is input instead of the
|
|
|
1134 |
C dew point, then saturation mixing ratio (same units) is returned.
|
|
|
1135 |
C The formula is found in most meteorological texts.
|
|
|
1136 |
|
|
|
1137 |
real t,p,tkel,x,esat
|
|
|
1138 |
|
|
|
1139 |
tkel=t+273.16
|
|
|
1140 |
x=esat(tkel) ! our function esat requires t in Kelvin
|
|
|
1141 |
w=622.*x/(p-x)
|
|
|
1142 |
end
|
|
|
1143 |
|
|
|
1144 |
real function esat(t)
|
|
|
1145 |
c =====================
|
|
|
1146 |
|
|
|
1147 |
C This function returns the saturation vapor pressure over water (mb)
|
|
|
1148 |
C given the temperature (Kelvin).
|
|
|
1149 |
C The algorithm is due to Nordquist, W. S. ,1973: "Numerical
|
|
|
1150 |
C Approximations of Selected Meteorological Parameters for Cloud
|
|
|
1151 |
C Physics Problems" ECOM-5475, Atmospheric Sciences Laboratory, U. S.
|
|
|
1152 |
C Army Electronics Command, White Sands Missile Range, New Mexico 88002.
|
|
|
1153 |
|
|
|
1154 |
real p1,p2,c1,t
|
|
|
1155 |
|
|
|
1156 |
p1=11.344-0.0303998*t
|
|
|
1157 |
p2=3.49149-1302.8844/t
|
|
|
1158 |
c1=23.832241-5.02808*log10(t)
|
|
|
1159 |
esat=10.**(c1-1.3816e-7*10.**p1+8.1328e-3*10.**p2-2949.076/t)
|
|
|
1160 |
end
|
|
|
1161 |
|
|
|
1162 |
subroutine equpot(ap,t,q,sp,ie,je,ke,ak,bk)
|
|
|
1163 |
c ===========================================
|
|
|
1164 |
|
|
|
1165 |
c argument declaration
|
|
|
1166 |
integer ie,je,ke
|
|
|
1167 |
real ap(ie,je,ke),t(ie,je,ke),sp(ie,je)
|
|
|
1168 |
real q(ie,je,ke),ak(ke),bk(ke)
|
|
|
1169 |
|
|
|
1170 |
c variable declaration
|
|
|
1171 |
integer i,j,k
|
|
|
1172 |
real rdcp,tzero
|
|
|
1173 |
data rdcp,tzero /0.286,273.15/
|
|
|
1174 |
|
|
|
1175 |
c statement-functions for the computation of pressure
|
|
|
1176 |
real pp,psrf
|
|
|
1177 |
integer is
|
|
|
1178 |
pp(is)=ak(is)+bk(is)*psrf
|
|
|
1179 |
|
|
|
1180 |
c computation of potential temperature
|
|
|
1181 |
do i=1,ie
|
|
|
1182 |
do j=1,je
|
|
|
1183 |
psrf=sp(i,j)
|
|
|
1184 |
do k=1,ke
|
|
|
1185 |
ap(i,j,k) = (t(i,j,k)+tzero)*(1000./pp(k))
|
|
|
1186 |
+ **(0.2854*(1.0-0.28*q(i,j,k)))*exp(
|
|
|
1187 |
+ (3.376/(2840.0/(3.5*alog(t(i,j,k)+tzero)-alog(
|
|
|
1188 |
+ 100.*pp(k)*max(1.0E-10,q(i,j,k))/(0.622+0.378*
|
|
|
1189 |
+ q(i,j,k)))-0.1998)+55.0)-0.00254)*1.0E3*
|
|
|
1190 |
+ max(1.0E-10,q(i,j,k))*(1.0+0.81*q(i,j,k)))
|
|
|
1191 |
enddo
|
|
|
1192 |
enddo
|
|
|
1193 |
enddo
|
|
|
1194 |
end
|
|
|
1195 |
|
|
|
1196 |
subroutine relhum(rh,q,t,sp,ie,je,ke,ak,bk)
|
|
|
1197 |
c ===========================================
|
|
|
1198 |
|
|
|
1199 |
c argument declaration
|
|
|
1200 |
integer ie,je,ke
|
|
|
1201 |
real rh(ie,je,ke),t(ie,je,ke),q(ie,je,ke),
|
|
|
1202 |
> sp(ie,je),ak(ke),bk(ke)
|
|
|
1203 |
|
|
|
1204 |
c variable declaration
|
|
|
1205 |
integer i,j,k
|
|
|
1206 |
real rdcp,tzero
|
|
|
1207 |
real b1,b2w,b3,b4w,r,rd,gqd,ge
|
|
|
1208 |
data rdcp,tzero /0.286,273.15/
|
|
|
1209 |
data b1,b2w,b3,b4w,r,rd /6.1078, 17.2693882, 273.16, 35.86,
|
|
|
1210 |
& 287.05, 461.51/
|
|
|
1211 |
|
|
|
1212 |
c statement-functions for the computation of pressure
|
|
|
1213 |
real pp,psrf
|
|
|
1214 |
integer is
|
|
|
1215 |
pp(is)=ak(is)+bk(is)*psrf
|
|
|
1216 |
|
|
|
1217 |
do i=1,ie
|
|
|
1218 |
do j=1,je
|
|
|
1219 |
psrf=sp(i,j)
|
|
|
1220 |
do k=1,ke
|
|
|
1221 |
ge = b1*exp(b2w*(t(i,j,k))/(t(i,j,k)+b3-b4w))
|
|
|
1222 |
gqd= r/rd*ge/(pp(k)-(1.-r/rd)*ge)
|
|
|
1223 |
rh(i,j,k)=100.*q(i,j,k)/gqd
|
|
|
1224 |
enddo
|
|
|
1225 |
enddo
|
|
|
1226 |
enddo
|
|
|
1227 |
end
|
|
|
1228 |
|
|
|
1229 |
subroutine diabheat(dhr,t,w,rh,sp,ie,je,ke,ak,bk)
|
|
|
1230 |
c =================================================
|
|
|
1231 |
|
|
|
1232 |
c argument declaration
|
|
|
1233 |
integer ie,je,ke
|
|
|
1234 |
real dhr(ie,je,ke),t(ie,je,ke),w(ie,je,ke),
|
|
|
1235 |
& rh(ie,je,ke),sp(ie,je),ak(ke),bk(ke)
|
|
|
1236 |
|
|
|
1237 |
c variable declaration
|
|
|
1238 |
integer i,j,k
|
|
|
1239 |
real p0,kappa,tzero
|
|
|
1240 |
data p0,kappa,tzero /1000.,0.286,273.15/
|
|
|
1241 |
real blog10,cp,r,lw,eps
|
|
|
1242 |
data blog10,cp,r,lw,eps /.08006,1004.,287.,2.5e+6,0.622/
|
|
|
1243 |
real esat,c,tt
|
|
|
1244 |
|
|
|
1245 |
c statement-functions for the computation of pressure
|
|
|
1246 |
real pp,psrf
|
|
|
1247 |
integer is
|
|
|
1248 |
pp(is)=ak(is)+bk(is)*psrf
|
|
|
1249 |
|
|
|
1250 |
c computation of diabatic heating rate
|
|
|
1251 |
do i=1,ie
|
|
|
1252 |
do j=1,je
|
|
|
1253 |
psrf=sp(i,j)
|
|
|
1254 |
do k=1,ke
|
|
|
1255 |
if (rh(i,j,k).lt.80.) then ! only moist air of interest
|
|
|
1256 |
dhr(i,j,k)=0. ! cond. heating rate set to zero
|
|
|
1257 |
else if (w(i,j,k).gt.0.) then ! cond. heating only for ascent
|
|
|
1258 |
dhr(i,j,k)=0.
|
|
|
1259 |
else
|
|
|
1260 |
tt=t(i,j,k)*((pp(k)/p0)**kappa) ! temp. from pot.temp.
|
|
|
1261 |
c=lw/cp*eps*blog10*esat(tt)/pp(k)
|
|
|
1262 |
dhr(i,j,k)=21600.* ! in units K per 6 hours
|
|
|
1263 |
> (1.-exp(.2*(80.-rh(i,j,k)))) ! weighting fun. for 80<RH<100
|
|
|
1264 |
> *(-c*kappa*t(i,j,k)*w(i,j,k)/(100.*pp(k)))/(1.+c)
|
|
|
1265 |
endif
|
|
|
1266 |
enddo
|
|
|
1267 |
enddo
|
|
|
1268 |
enddo
|
|
|
1269 |
end
|
|
|
1270 |
|
|
|
1271 |
subroutine diabpvr(dpvr,uu,vv,dhr,sp,cl,f,ie,je,ke,ak,bk,
|
|
|
1272 |
> vmin,vmax)
|
|
|
1273 |
C =========================================================
|
|
|
1274 |
|
|
|
1275 |
c argument declaration
|
|
|
1276 |
integer ie,je,ke
|
|
|
1277 |
real dpvr(ie,je,ke),uu(ie,je,ke),vv(ie,je,ke),
|
|
|
1278 |
> dhr(ie,je,ke),sp(ie,je),cl(ie,je),f(ie,je)
|
|
|
1279 |
real ak(ke),bk(ke),vmin(4),vmax(4)
|
|
|
1280 |
|
|
|
1281 |
c variable declaration
|
|
|
1282 |
include "um_dims.inc"
|
|
|
1283 |
real dhrdp(nxmax*nymax*nzmax),dudp(nxmax*nymax*nzmax),
|
|
|
1284 |
> dvdp(nxmax*nymax*nzmax),dvdx(nxmax*nymax*nzmax),
|
|
|
1285 |
> dhrdx(nxmax*nymax*nzmax),dudy(nxmax*nymax*nzmax),
|
|
|
1286 |
> dhrdy(nxmax*nymax*nzmax)
|
|
|
1287 |
real dspdx(nxmax*nymax),dspdy(nxmax*nymax)
|
|
|
1288 |
integer i,j,k,ind,ind2
|
|
|
1289 |
|
|
|
1290 |
call ddp(dhr,dhrdp,sp,ie,je,ke,ak,bk)
|
|
|
1291 |
call ddp(uu,dudp,sp,ie,je,ke,ak,bk)
|
|
|
1292 |
call ddp(vv,dvdp,sp,ie,je,ke,ak,bk)
|
|
|
1293 |
call ddh2(sp,dspdx,cl,'X',ie,je,1,vmin,vmax)
|
|
|
1294 |
call ddh2(sp,dspdy,cl,'Y',ie,je,1,vmin,vmax)
|
|
|
1295 |
call ddh3(dhr,dhrdx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1296 |
call ddh3(vv,dvdx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1297 |
call ddh3(dhr,dhrdy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1298 |
call ddh3(uu,dudy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1299 |
|
|
|
1300 |
do j=1,je
|
|
|
1301 |
do i=1,ie
|
|
|
1302 |
ind2=i+(j-1)*ie
|
|
|
1303 |
do k=1,ke
|
|
|
1304 |
ind=ind2+(k-1)*ie*je
|
|
|
1305 |
dpvr(i,j,k)=-1.E6*9.80665*(
|
|
|
1306 |
> -dvdp(ind)*dhrdx(ind)+dudp(ind)*dhrdy(ind)
|
|
|
1307 |
> +(-dudy(ind)+dvdx(ind)+f(i,j))*dhrdp(ind))
|
|
|
1308 |
enddo
|
|
|
1309 |
enddo
|
|
|
1310 |
enddo
|
|
|
1311 |
end
|
|
|
1312 |
|
|
|
1313 |
subroutine potvort(pv,uu,vv,th,sp,cl,f,ie,je,ke,ak,bk,
|
|
|
1314 |
> vmin,vmax)
|
|
|
1315 |
C ======================================================
|
|
|
1316 |
|
|
|
1317 |
c argument declaration
|
|
|
1318 |
integer ie,je,ke
|
|
|
1319 |
real pv(ie,je,ke),uu(ie,je,ke),vv(ie,je,ke),
|
|
|
1320 |
> th(ie,je,ke),sp(ie,je),
|
|
|
1321 |
> cl(ie,je),f(ie,je)
|
|
|
1322 |
real ak(ke),bk(ke),vmin(4),vmax(4)
|
|
|
1323 |
|
|
|
1324 |
c variable declaration
|
|
|
1325 |
include "um_dims.inc"
|
|
|
1326 |
real dthdp(nxmax*nymax*nzmax),dudp(nxmax*nymax*nzmax),
|
|
|
1327 |
> dvdp(nxmax*nymax*nzmax),dvdx(nxmax*nymax*nzmax),
|
|
|
1328 |
> dthdx(nxmax*nymax*nzmax),dudy(nxmax*nymax*nzmax),
|
|
|
1329 |
> dthdy(nxmax*nymax*nzmax)
|
|
|
1330 |
real dspdx(nxmax*nymax),dspdy(nxmax*nymax)
|
|
|
1331 |
integer i,j,k,ind,ind2
|
|
|
1332 |
|
|
|
1333 |
call ddp(th,dthdp,sp,ie,je,ke,ak,bk)
|
|
|
1334 |
call ddp(uu,dudp,sp,ie,je,ke,ak,bk)
|
|
|
1335 |
call ddp(vv,dvdp,sp,ie,je,ke,ak,bk)
|
|
|
1336 |
call ddh2(sp,dspdx,cl,'X',ie,je,1,vmin,vmax)
|
|
|
1337 |
call ddh2(sp,dspdy,cl,'Y',ie,je,1,vmin,vmax)
|
|
|
1338 |
call ddh3(th,dthdx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1339 |
call ddh3(vv,dvdx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1340 |
call ddh3(th,dthdy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1341 |
call ddh3(uu,dudy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1342 |
|
|
|
1343 |
do j=1,je
|
|
|
1344 |
do i=1,ie
|
|
|
1345 |
ind2=i+(j-1)*ie
|
|
|
1346 |
do k=1,ke
|
|
|
1347 |
ind=ind2+(k-1)*ie*je
|
|
|
1348 |
pv(i,j,k)=1.E6*9.80665*(
|
|
|
1349 |
> -(-dudy(ind)+dvdx(ind)+f(i,j))*dthdp(ind)
|
|
|
1350 |
> -(dudp(ind)*dthdy(ind)-dvdp(ind)*dthdx(ind)))
|
|
|
1351 |
enddo
|
|
|
1352 |
enddo
|
|
|
1353 |
enddo
|
|
|
1354 |
end
|
|
|
1355 |
|
|
|
1356 |
subroutine relvort(vo,uu,vv,sp,cl,f,ie,je,ke,ak,bk,
|
|
|
1357 |
> vmin,vmax)
|
|
|
1358 |
C ===================================================
|
|
|
1359 |
|
|
|
1360 |
c argument declaration
|
|
|
1361 |
integer ie,je,ke
|
|
|
1362 |
real vo(ie,je,ke),uu(ie,je,ke),vv(ie,je,ke),
|
|
|
1363 |
> sp(ie,je),cl(ie,je),f(ie,je)
|
|
|
1364 |
real ak(ke),bk(ke),vmin(4),vmax(4)
|
|
|
1365 |
|
|
|
1366 |
c variable declaration
|
|
|
1367 |
include "um_dims.inc"
|
|
|
1368 |
real dvdx(nxmax*nymax*nzmax),dudy(nxmax*nymax*nzmax)
|
|
|
1369 |
real dspdx(nxmax*nymax),dspdy(nxmax*nymax)
|
|
|
1370 |
integer i,j,k,ind,ind2
|
|
|
1371 |
|
|
|
1372 |
call ddh2(sp,dspdx,cl,'X',ie,je,1,vmin,vmax)
|
|
|
1373 |
call ddh2(sp,dspdy,cl,'Y',ie,je,1,vmin,vmax)
|
|
|
1374 |
call ddh3(vv,dvdx,sp,dspdx,cl,'X',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1375 |
call ddh3(uu,dudy,sp,dspdy,cl,'Y',ie,je,ke,vmin,vmax,ak,bk)
|
|
|
1376 |
|
|
|
1377 |
do j=1,je
|
|
|
1378 |
do i=1,ie
|
|
|
1379 |
ind2=i+(j-1)*ie
|
|
|
1380 |
do k=1,ke
|
|
|
1381 |
ind=ind2+(k-1)*ie*je
|
|
|
1382 |
vo(i,j,k)=1.E4*(-dudy(ind)+dvdx(ind))
|
|
|
1383 |
enddo
|
|
|
1384 |
enddo
|
|
|
1385 |
enddo
|
|
|
1386 |
end
|
|
|
1387 |
|
|
|
1388 |
|
|
|
1389 |
subroutine ddp(a,d,sp,ie,je,ke,ak,bk)
|
|
|
1390 |
c--------------------------------------------------------------------------
|
|
|
1391 |
c Purpose: VERTICAL DERIVATIVE
|
|
|
1392 |
c Compute the vertical derivative without missing data checking.
|
|
|
1393 |
c The derivative is taken from array 'a' in the direction of 'P'.
|
|
|
1394 |
c The result is stored in array 'd'.
|
|
|
1395 |
c 3 point weighted centered differencing is used.
|
|
|
1396 |
c The vertical level-structure of the data is of the form
|
|
|
1397 |
c p=ak(k)+bk(k)*ps.
|
|
|
1398 |
c--------------------------------------------------------------------------
|
|
|
1399 |
|
|
|
1400 |
c declaration of arguments
|
|
|
1401 |
integer ie,je,ke
|
|
|
1402 |
real a(ie,je,ke),d(ie,je,ke),sp(ie,je)
|
|
|
1403 |
|
|
|
1404 |
c variable declaration
|
|
|
1405 |
integer i,j,k
|
|
|
1406 |
real dpu,dpl,quot,fac,psrf
|
|
|
1407 |
real ak(ke),bk(ke)
|
|
|
1408 |
|
|
|
1409 |
c specify scaling factor associated with derivation with respect
|
|
|
1410 |
c to pressure
|
|
|
1411 |
fac=0.01
|
|
|
1412 |
|
|
|
1413 |
c compute vertical 3 point derivative
|
|
|
1414 |
c ---------------------------
|
|
|
1415 |
c 3-point vertical derivative
|
|
|
1416 |
c ---------------------------
|
|
|
1417 |
do j=1,je
|
|
|
1418 |
do i=1,ie
|
|
|
1419 |
c get surface pressure at current grid-point
|
|
|
1420 |
psrf=sp(i,j)
|
|
|
1421 |
c points at k=1
|
|
|
1422 |
dpu=(ak(1)+bk(1)*psrf)-(ak(2)+bk(2)*psrf)
|
|
|
1423 |
d(i,j,1)=(a(i,j,1)-a(i,j,2))*fac/dpu
|
|
|
1424 |
c points at 1<k<ke
|
|
|
1425 |
do k=2,ke-1
|
|
|
1426 |
dpu=(ak(k)+bk(k)*psrf)-(ak(k+1)+bk(k+1)*psrf)
|
|
|
1427 |
dpl=(ak(k-1)+bk(k-1)*psrf)-(ak(k)+bk(k)*psrf)
|
|
|
1428 |
quot=dpu/dpl
|
|
|
1429 |
d(i,j,k)=(quot*(a(i,j,k-1)-a(i,j,k))
|
|
|
1430 |
& +1./quot*(a(i,j,k)-a(i,j,k+1)))*fac/(dpu+dpl)
|
|
|
1431 |
enddo
|
|
|
1432 |
c points at k=ke
|
|
|
1433 |
dpl=(ak(ke-1)+bk(ke-1)*psrf)-(ak(ke)+bk(ke)*psrf)
|
|
|
1434 |
d(i,j,ke)=(a(i,j,ke-1)-a(i,j,ke))*fac/dpl
|
|
|
1435 |
enddo
|
|
|
1436 |
enddo
|
|
|
1437 |
|
|
|
1438 |
end
|
|
|
1439 |
|
|
|
1440 |
subroutine ddh3(a,d,ps,dps,cl,dir,ie,je,ke,datmin,datmax,ak,bk)
|
|
|
1441 |
c-----------------------------------------------------------------------
|
|
|
1442 |
c Purpose: HORIZONTAL DERIVATIVE ON PRESSURE-SURFACES WITHOUT MISSING DATA
|
|
|
1443 |
c The derivative is taken from array 'a' in the direction of 'dir',
|
|
|
1444 |
c where 'dir' is either 'X','Y'. The result is stored in array 'd'.
|
|
|
1445 |
c The routine accounts for derivatives at the pole and periodic
|
|
|
1446 |
c boundaries in the longitudinal direction (depending on
|
|
|
1447 |
c the value of datmin, datmax). If the data-set does not reach to
|
|
|
1448 |
c the pole, a one-sided derivative is taken. Pole-treatment is only
|
|
|
1449 |
c carried out if the data-set covers 360 deg in longitude, and it
|
|
|
1450 |
c requires that ie=4*ii+1, where ii is an integer.
|
|
|
1451 |
c History:
|
|
|
1452 |
c Daniel Luethi
|
|
|
1453 |
c-----------------------------------------------------------------------
|
|
|
1454 |
|
|
|
1455 |
c declaration of arguments
|
|
|
1456 |
integer ie,je,ke
|
|
|
1457 |
real a(ie,je,ke),d(ie,je,ke),cl(ie,je)
|
|
|
1458 |
real ps(ie,je),dps(ie,je)
|
|
|
1459 |
real datmin(4),datmax(4)
|
|
|
1460 |
character*(*) dir
|
|
|
1461 |
|
|
|
1462 |
c variable declaration
|
|
|
1463 |
integer i,j,k
|
|
|
1464 |
real ak(ke),bk(ke),as(ke),bs(ke)
|
|
|
1465 |
|
|
|
1466 |
c compute vertical derivatives of ak's and bk's
|
|
|
1467 |
do k=2,ke-1
|
|
|
1468 |
as(k)=(ak(k-1)-ak(k+1))/2.
|
|
|
1469 |
bs(k)=(bk(k-1)-bk(k+1))/2.
|
|
|
1470 |
enddo
|
|
|
1471 |
as(1 )=ak(1)-ak(2)
|
|
|
1472 |
bs(1 )=bk(1)-bk(2)
|
|
|
1473 |
as(ke)=ak(ke-1)-ak(ke)
|
|
|
1474 |
bs(ke)=bk(ke-1)-bk(ke)
|
|
|
1475 |
|
|
|
1476 |
c compute horizontal derivatives on sigma surfaces
|
|
|
1477 |
call ddh2(a,d,cl,dir,ie,je,ke,datmin,datmax)
|
|
|
1478 |
|
|
|
1479 |
c apply correction for horizontal derivative on p-surfaces
|
|
|
1480 |
do j=1,je
|
|
|
1481 |
do i=1,ie
|
|
|
1482 |
do k=2,ke-1
|
|
|
1483 |
d(i,j,k)=d(i,j,k)+bk(k)*dps(i,j)/2./(as(k)+
|
|
|
1484 |
& bs(k)*ps(i,j))*(a(i,j,k+1)-a(i,j,k-1))
|
|
|
1485 |
enddo
|
|
|
1486 |
k=1
|
|
|
1487 |
d(i,j,k)=d(i,j,k)+bk(k)*dps(i,j)/(as(k)+
|
|
|
1488 |
& bs(k)*ps(i,j))*(a(i,j,k+1)-a(i,j,k))
|
|
|
1489 |
k=ke
|
|
|
1490 |
d(i,j,k)=d(i,j,k)+bk(k)*dps(i,j)/(as(k)+
|
|
|
1491 |
& bs(k)*ps(i,j))*(a(i,j,k)-a(i,j,k-1))
|
|
|
1492 |
enddo
|
|
|
1493 |
enddo
|
|
|
1494 |
end
|
|
|
1495 |
|
|
|
1496 |
subroutine ddh2(a,d,cl,dir,ie,je,ke,datmin,datmax)
|
|
|
1497 |
c-----------------------------------------------------------------------
|
|
|
1498 |
c Purpose: HORIZONTAL DERIVATIVE ON DATA-SURFACES WITHOUT MISSING DATA
|
|
|
1499 |
c Compute the horizontal derivative without missing data checking.
|
|
|
1500 |
c The derivative is taken from array 'a' in the direction of 'dir',
|
|
|
1501 |
c where 'dir' is either 'X','Y'. The result is stored in array 'd'.
|
|
|
1502 |
c The routine accounts for derivatives at the pole and periodic
|
|
|
1503 |
c boundaries in the longitudinal direction (depending on
|
|
|
1504 |
c the value of datmin, datmax). If the data-set does not reach to
|
|
|
1505 |
c the pole, a one-sided derivative is taken. Pole-treatment is only
|
|
|
1506 |
c carried out if the data-set covers 360 deg in longitude, and it
|
|
|
1507 |
c requires that ie=4*ii+1, where ii is an integer.
|
|
|
1508 |
c-----------------------------------------------------------------------
|
|
|
1509 |
|
|
|
1510 |
c declaration of arguments
|
|
|
1511 |
integer ie,je,ke
|
|
|
1512 |
real a(ie,je,ke),d(ie,je,ke),cl(ie,je)
|
|
|
1513 |
real datmin(4),datmax(4)
|
|
|
1514 |
character*(*) dir
|
|
|
1515 |
|
|
|
1516 |
c local variable declaration
|
|
|
1517 |
integer i,j,k,ip1,im1,jp1,jm1,ip,im,j1,j2
|
|
|
1518 |
real dlat,dlon,coslat,dx,dy,dxr,dyr
|
|
|
1519 |
integer northpl,southpl,lonper
|
|
|
1520 |
|
|
|
1521 |
c rerd and circ are the mean radius and diameter of the earth in meter
|
|
|
1522 |
real rerd,circ,pi
|
|
|
1523 |
data rerd,circ,pi /6.37e6,4.e7,3.141592654/
|
|
|
1524 |
|
|
|
1525 |
c compute flags for pole and periodic treatment
|
|
|
1526 |
southpl=0
|
|
|
1527 |
northpl=0
|
|
|
1528 |
lonper =0
|
|
|
1529 |
j1=1
|
|
|
1530 |
j2=je
|
|
|
1531 |
if (abs(datmax(1)-datmin(1)-360.).lt.1.e-3) then
|
|
|
1532 |
lonper=1
|
|
|
1533 |
if (abs(datmin(2)+90.).lt.1.e-3) then
|
|
|
1534 |
southpl=1
|
|
|
1535 |
j1=2
|
|
|
1536 |
endif
|
|
|
1537 |
if (abs(datmax(2)-90.).lt.1.e-3) then
|
|
|
1538 |
northpl=1
|
|
|
1539 |
j2=je-1
|
|
|
1540 |
endif
|
|
|
1541 |
endif
|
|
|
1542 |
|
|
|
1543 |
dlon=((datmax(1)-datmin(1))/float(ie-1)) *pi/180.
|
|
|
1544 |
dlat=((datmax(2)-datmin(2))/float(je-1)) *pi/180.
|
|
|
1545 |
|
|
|
1546 |
c print *,'Computing derivative ',dir(1:1),
|
|
|
1547 |
c & ' of an array dimensioned ',ie,je,ke
|
|
|
1548 |
|
|
|
1549 |
if (dir(1:1).eq.'X') then
|
|
|
1550 |
c -----------------------------
|
|
|
1551 |
c derivation in the x-direction
|
|
|
1552 |
c -----------------------------
|
|
|
1553 |
do k=1,ke
|
|
|
1554 |
|
|
|
1555 |
c do gridpoints at j1<=j<=j2
|
|
|
1556 |
do j=j1,j2
|
|
|
1557 |
coslat=cl(1,j)
|
|
|
1558 |
|
|
|
1559 |
c do regular gridpoints at 1<i<ie, 1<j<je
|
|
|
1560 |
dx =rerd*coslat*dlon
|
|
|
1561 |
dxr=1./(2.*dx)
|
|
|
1562 |
do i=2,ie-1
|
|
|
1563 |
ip1=i+1
|
|
|
1564 |
im1=i-1
|
|
|
1565 |
d(i,j,k)=dxr*(a(ip1,j,k)-a(im1,j,k))
|
|
|
1566 |
enddo ! i-loop
|
|
|
1567 |
c completed regular gridpoints at 1<i<ie, 1<j<je
|
|
|
1568 |
|
|
|
1569 |
c do gridpoints at i=1, i=ie, 1<j<je
|
|
|
1570 |
if (lonper.eq.1) then
|
|
|
1571 |
c use periodic boundaries
|
|
|
1572 |
i=1
|
|
|
1573 |
ip1=2
|
|
|
1574 |
im1=ie-1
|
|
|
1575 |
d(i,j,k)=dxr*(a(ip1,j,k)-a(im1,j,k))
|
|
|
1576 |
d(ie,j,k)=d(1,j,k)
|
|
|
1577 |
else
|
|
|
1578 |
c use one-sided derivatives
|
|
|
1579 |
dxr=1./dx
|
|
|
1580 |
i=1
|
|
|
1581 |
ip1=2
|
|
|
1582 |
im1=1
|
|
|
1583 |
d(i,j,k)=dxr*(a(ip1,j,k)-a(im1,j,k))
|
|
|
1584 |
i=ie
|
|
|
1585 |
ip1=ie
|
|
|
1586 |
im1=ie-1
|
|
|
1587 |
d(i,j,k)=dxr*(a(ip1,j,k)-a(im1,j,k))
|
|
|
1588 |
endif
|
|
|
1589 |
c completed gridpoints at i=1, i=ie, j1<=j<=j2
|
|
|
1590 |
|
|
|
1591 |
enddo ! j-loop
|
|
|
1592 |
c completed gridpoints at 1<j<je
|
|
|
1593 |
|
|
|
1594 |
c do gridpoints at j=je
|
|
|
1595 |
if (northpl.eq.1) then
|
|
|
1596 |
c for these gridpoints, the derivative in the x-direction is a
|
|
|
1597 |
c derivative in the y-direction at another pole-gridpoint
|
|
|
1598 |
dy =rerd*dlat
|
|
|
1599 |
dyr=1./(2.*dy)
|
|
|
1600 |
j=je
|
|
|
1601 |
jp1=je-1
|
|
|
1602 |
jm1=je-1
|
|
|
1603 |
do i=1,ie
|
|
|
1604 |
ip=mod(i-1+ (ie-1)/4,ie)+1
|
|
|
1605 |
im=mod(i-1+3*(ie-1)/4,ie)+1
|
|
|
1606 |
d(i,j,k)=dyr*(a(ip,jp1,k)-a(im,jm1,k))
|
|
|
1607 |
enddo ! i-loop
|
|
|
1608 |
c completed gridpoints at j=je
|
|
|
1609 |
endif
|
|
|
1610 |
c do gridpoints at j=1
|
|
|
1611 |
if (southpl.eq.1) then
|
|
|
1612 |
dy =rerd*dlat
|
|
|
1613 |
dyr=1./(2.*dy)
|
|
|
1614 |
j=1
|
|
|
1615 |
jp1=2
|
|
|
1616 |
jm1=2
|
|
|
1617 |
do i=1,ie
|
|
|
1618 |
ip=mod(i-1+ (ie-1)/4,ie)+1
|
|
|
1619 |
im=mod(i-1+3*(ie-1)/4,ie)+1
|
|
|
1620 |
d(i,j,k)=dyr*(a(ip,jp1,k)-a(im,jm1,k))
|
|
|
1621 |
enddo ! i-loop
|
|
|
1622 |
endif
|
|
|
1623 |
c completed gridpoints at j=1
|
|
|
1624 |
|
|
|
1625 |
enddo ! k-loop
|
|
|
1626 |
|
|
|
1627 |
else if (dir(1:1).eq.'Y') then
|
|
|
1628 |
c -----------------------------
|
|
|
1629 |
c derivation in the y-direction
|
|
|
1630 |
c -----------------------------
|
|
|
1631 |
dy =dlat*rerd
|
|
|
1632 |
dyr=1./(2.*dy)
|
|
|
1633 |
do k=1,ke
|
|
|
1634 |
do i=1,ie
|
|
|
1635 |
|
|
|
1636 |
c do regular gridpoints
|
|
|
1637 |
do j=2,je-1
|
|
|
1638 |
jp1=j+1
|
|
|
1639 |
jm1=j-1
|
|
|
1640 |
d(i,j,k)=dyr*(a(i,jp1,k)-a(i,jm1,k))
|
|
|
1641 |
enddo
|
|
|
1642 |
|
|
|
1643 |
c do gridpoints at j=je
|
|
|
1644 |
if (northpl.eq.1) then
|
|
|
1645 |
c pole-treatment
|
|
|
1646 |
j=je
|
|
|
1647 |
jm1=j-1
|
|
|
1648 |
jp1=j-1
|
|
|
1649 |
ip=mod(i-1+(ie-1)/2,ie)+1
|
|
|
1650 |
im=i
|
|
|
1651 |
d(i,j,k)=dyr*(a(ip,jp1,k)-a(im,jm1,k))
|
|
|
1652 |
else
|
|
|
1653 |
c one-sided derivative
|
|
|
1654 |
j=je
|
|
|
1655 |
jm1=j-1
|
|
|
1656 |
jp1=j
|
|
|
1657 |
d(i,j,k)=2.*dyr*(a(i,jp1,k)-a(i,jm1,k))
|
|
|
1658 |
endif
|
|
|
1659 |
c completed gridpoints at j=je
|
|
|
1660 |
|
|
|
1661 |
c do gridpoints at j=1
|
|
|
1662 |
if (southpl.eq.1) then
|
|
|
1663 |
c pole-treatment
|
|
|
1664 |
j=1
|
|
|
1665 |
jm1=2
|
|
|
1666 |
jp1=2
|
|
|
1667 |
ip=i
|
|
|
1668 |
im=mod(i-1+(ie-1)/2,ie)+1
|
|
|
1669 |
d(i,j,k)=dyr*(a(ip,jp1,k)-a(im,jm1,k))
|
|
|
1670 |
else
|
|
|
1671 |
c one-sided derivative
|
|
|
1672 |
j=1
|
|
|
1673 |
jm1=1
|
|
|
1674 |
jp1=2
|
|
|
1675 |
d(i,j,k)=2.*dyr*(a(i,jp1,k)-a(i,jm1,k))
|
|
|
1676 |
endif
|
|
|
1677 |
c completed gridpoints at j=1
|
|
|
1678 |
|
|
|
1679 |
enddo
|
|
|
1680 |
enddo
|
|
|
1681 |
|
|
|
1682 |
|
|
|
1683 |
endif
|
|
|
1684 |
end
|
|
|
1685 |
c--------------------------------------------------------------------------
|
|
|
1686 |
c transformation of coordinates with a rotated pole
|
|
|
1687 |
c--------------------------------------------------------------------------
|
|
|
1688 |
c the following routines allow for the transformation of
|
|
|
1689 |
c spherical coordinates to a spherical coordinate system with a rotated
|
|
|
1690 |
c pole, and vice versa.
|
|
|
1691 |
c
|
|
|
1692 |
c the arguments of the routines use the following conventions
|
|
|
1693 |
c PHI,LAM: latitude and longitude in regular spherical coordinates
|
|
|
1694 |
c lat,lon: dito
|
|
|
1695 |
c PHIS,LAMS: latitude and longitude in rotated spherical coordinates
|
|
|
1696 |
c latp,lonp: dito
|
|
|
1697 |
c polphi,pollat: latitude and longitude of the rotated pole as
|
|
|
1698 |
c expressed in regular spherical coordinates
|
|
|
1699 |
c latpol,lonpol: dito
|
|
|
1700 |
c u,v: windvector in regular spherical coordinates
|
|
|
1701 |
c up,vp: windvector in rotated spherical coordinates
|
|
|
1702 |
c all angles are expressed in degrees.
|
|
|
1703 |
c
|
|
|
1704 |
c For a given rotated pole location (pollat,polphi), the routines
|
|
|
1705 |
c provide the following transformations:
|
|
|
1706 |
c REAL FUNCTION PHTOPHS: (lam,phi) -> phis
|
|
|
1707 |
c REAL FUNCTION PHSTOPH: (lams,phis) -> phi
|
|
|
1708 |
c REAL FUNCTION LMTOLMS: (lam,phi) -> lams
|
|
|
1709 |
c REAL FUNCTION LMSTOLM: (lams,phis) -> lams
|
|
|
1710 |
c real function uvtouem: (u,v,lon,lat) -> up
|
|
|
1711 |
c real function uvtovem: (u,v,lon,lat) -> vp
|
|
|
1712 |
c real function uvtougm: (up,vp,lonp,latp) -> u
|
|
|
1713 |
c real function uvtovgm: (up,vp,lonp,latp) -> v
|
|
|
1714 |
c--------------------------------------------------------------------------
|
|
|
1715 |
|
|
|
1716 |
REAL FUNCTION PHTOPHS (PHI, LAM, POLPHI, POLLAM)
|
|
|
1717 |
C
|
|
|
1718 |
C%Z% Modul %M%, V%I% vom %G%, extrahiert am %H%
|
|
|
1719 |
C
|
|
|
1720 |
C**** PHTOPHS - FC:UMRECHNUNG DER WAHREN GEOGRAPHISCHEN BREITE PHI
|
|
|
1721 |
C**** AUF EINEM PUNKT MIT DEN KOORDINATEN (PHIS, LAMS)
|
|
|
1722 |
C**** IM ROTIERTEN SYSTEM. DER NORDPOL DES SYSTEMS HAT
|
|
|
1723 |
C**** DIE WAHREN KOORDINATEN (POLPHI, POLLAM)
|
|
|
1724 |
C** AUFRUF : PHI = PHTOPHS (PHI, LAM, POLPHI, POLLAM)
|
|
|
1725 |
C** ENTRIES : KEINE
|
|
|
1726 |
C** ZWECK : UMRECHNUNG DER WAHREN GEOGRAPHISCHEN BREITE PHI AUF
|
|
|
1727 |
C** EINEM PUNKT MIT DEN KOORDINATEN (PHIS, LAMS) IM
|
|
|
1728 |
C** ROTIERTEN SYSTEM. DER NORDPOL DIESES SYSTEMS HAT
|
|
|
1729 |
C** DIE WAHREN KOORDINATEN (POLPHI, POLLAM)
|
|
|
1730 |
C** VERSIONS-
|
|
|
1731 |
C** DATUM : 03.05.90
|
|
|
1732 |
C**
|
|
|
1733 |
C** EXTERNALS: KEINE
|
|
|
1734 |
C** EINGABE-
|
|
|
1735 |
C** PARAMETER: PHI REAL BREITE DES PUNKTES IM GEOGR. SYSTEM
|
|
|
1736 |
C** LAM REAL LAENGE DES PUNKTES IM GEOGR. SYSTEM
|
|
|
1737 |
C** POLPHI REAL GEOGR.BREITE DES N-POLS DES ROT. SYSTEMS
|
|
|
1738 |
C** POLLAM REAL GEOGR.LAENGE DES N-POLS DES ROT. SYSTEMS
|
|
|
1739 |
C** AUSGABE-
|
|
|
1740 |
C** PARAMETER: ROTIERTE BREITE PHIS ALS WERT DER FUNKTION
|
|
|
1741 |
C** ALLE WINKEL IN GRAD (NORDEN>0, OSTEN>0)
|
|
|
1742 |
C**
|
|
|
1743 |
C** COMMON-
|
|
|
1744 |
C** BLOECKE : KEINE
|
|
|
1745 |
C**
|
|
|
1746 |
C** FEHLERBE-
|
|
|
1747 |
C** HANDLUNG : KEINE
|
|
|
1748 |
C** VERFASSER: G. DE MORSIER
|
|
|
1749 |
|
|
|
1750 |
REAL LAM,PHI,POLPHI,POLLAM
|
|
|
1751 |
|
|
|
1752 |
DATA ZRPI18 , ZPIR18 / 57.2957795 , 0.0174532925 /
|
|
|
1753 |
|
|
|
1754 |
ZSINPOL = SIN(ZPIR18*POLPHI)
|
|
|
1755 |
ZCOSPOL = COS(ZPIR18*POLPHI)
|
|
|
1756 |
ZLAMPOL = ZPIR18*POLLAM
|
|
|
1757 |
ZPHI = ZPIR18*PHI
|
|
|
1758 |
ZLAM = LAM
|
|
|
1759 |
IF(ZLAM.GT.180.0) ZLAM = ZLAM - 360.0
|
|
|
1760 |
ZLAM = ZPIR18*ZLAM
|
|
|
1761 |
ZARG = ZCOSPOL*COS(ZPHI)*COS(ZLAM-ZLAMPOL) + ZSINPOL*SIN(ZPHI)
|
|
|
1762 |
|
|
|
1763 |
PHTOPHS = ZRPI18*ASIN(ZARG)
|
|
|
1764 |
|
|
|
1765 |
RETURN
|
|
|
1766 |
END
|
|
|
1767 |
REAL FUNCTION PHSTOPH (PHIS, LAMS, POLPHI, POLLAM)
|
|
|
1768 |
C
|
|
|
1769 |
C%Z% Modul %M%, V%I% vom %G%, extrahiert am %H%
|
|
|
1770 |
C
|
|
|
1771 |
C**** PHSTOPH - FC:BERECHNUNG DER WAHREN GEOGRAPHISCHEN BREITE FUER
|
|
|
1772 |
C**** EINEN PUNKT MIT DEN KOORDINATEN (PHIS, LAMS) IM
|
|
|
1773 |
C**** ROTIERTEN SYSTEM. DER NORDPOL DIESES SYSTEMS HAT
|
|
|
1774 |
C**** DIE WAHREN KOORDINATEN (POLPHI, POLLAM)
|
|
|
1775 |
C** AUFRUF : PHI = PHSTOPH (PHIS, LAMS, POLPHI, POLLAM)
|
|
|
1776 |
C** ENTRIES : KEINE
|
|
|
1777 |
C** ZWECK : BERECHNUNG DER WAHREN GEOGRAPHISCHEN BREITE FUER
|
|
|
1778 |
C** EINEN PUNKT MIT DEN KOORDINATEN (PHIS, LAMS) IM
|
|
|
1779 |
C** ROTIERTEN SYSTEM. DER NORDPOL DIESES SYSTEMS HAT
|
|
|
1780 |
C** DIE WAHREN KOORDINATEN (POLPHI, POLLAM)
|
|
|
1781 |
C** VERSIONS-
|
|
|
1782 |
C** DATUM : 03.05.90
|
|
|
1783 |
C**
|
|
|
1784 |
C** EXTERNALS: KEINE
|
|
|
1785 |
C** EINGABE-
|
|
|
1786 |
C** PARAMETER: PHIS REAL GEOGR. BREITE DES PUNKTES IM ROT.SYS.
|
|
|
1787 |
C** LAMS REAL GEOGR. LAENGE DES PUNKTES IM ROT.SYS.
|
|
|
1788 |
C** POLPHI REAL WAHRE GEOGR. BREITE DES NORDPOLS
|
|
|
1789 |
C** POLLAM REAL WAHRE GEOGR. LAENGE DES NORDPOLS
|
|
|
1790 |
C** AUSGABE-
|
|
|
1791 |
C** PARAMETER: WAHRE GEOGRAPHISCHE BREITE ALS WERT DER FUNKTION
|
|
|
1792 |
C** ALLE WINKEL IN GRAD (NORDEN>0, OSTEN>0)
|
|
|
1793 |
C**
|
|
|
1794 |
C** COMMON-
|
|
|
1795 |
C** BLOECKE : KEINE
|
|
|
1796 |
C**
|
|
|
1797 |
C** FEHLERBE-
|
|
|
1798 |
C** HANDLUNG : KEINE
|
|
|
1799 |
C** VERFASSER: D.MAJEWSKI
|
|
|
1800 |
|
|
|
1801 |
REAL LAMS,PHIS,POLPHI,POLLAM
|
|
|
1802 |
|
|
|
1803 |
DATA ZRPI18 , ZPIR18 / 57.2957795 , 0.0174532925 /
|
|
|
1804 |
|
|
|
1805 |
SINPOL = SIN(ZPIR18*POLPHI)
|
|
|
1806 |
COSPOL = COS(ZPIR18*POLPHI)
|
|
|
1807 |
ZPHIS = ZPIR18*PHIS
|
|
|
1808 |
ZLAMS = LAMS
|
|
|
1809 |
IF(ZLAMS.GT.180.0) ZLAMS = ZLAMS - 360.0
|
|
|
1810 |
ZLAMS = ZPIR18*ZLAMS
|
|
|
1811 |
ARG = COSPOL*COS(ZPHIS)*COS(ZLAMS) + SINPOL*SIN(ZPHIS)
|
|
|
1812 |
|
|
|
1813 |
PHSTOPH = ZRPI18*ASIN(ARG)
|
|
|
1814 |
|
|
|
1815 |
RETURN
|
|
|
1816 |
END
|
|
|
1817 |
REAL FUNCTION LMTOLMS (PHI, LAM, POLPHI, POLLAM)
|
|
|
1818 |
C
|
|
|
1819 |
C%Z% Modul %M%, V%I% vom %G%, extrahiert am %H%
|
|
|
1820 |
C
|
|
|
1821 |
C**** LMTOLMS - FC:UMRECHNUNG DER WAHREN GEOGRAPHISCHEN LAENGE LAM
|
|
|
1822 |
C**** AUF EINEM PUNKT MIT DEN KOORDINATEN (PHIS, LAMS)
|
|
|
1823 |
C**** IM ROTIERTEN SYSTEM. DER NORDPOL DES SYSTEMS HAT
|
|
|
1824 |
C**** DIE WAHREN KOORDINATEN (POLPHI, POLLAM)
|
|
|
1825 |
C** AUFRUF : LAM = LMTOLMS (PHI, LAM, POLPHI, POLLAM)
|
|
|
1826 |
C** ENTRIES : KEINE
|
|
|
1827 |
C** ZWECK : UMRECHNUNG DER WAHREN GEOGRAPHISCHEN LAENGE LAM AUF
|
|
|
1828 |
C** EINEM PUNKT MIT DEN KOORDINATEN (PHIS, LAMS) IM
|
|
|
1829 |
C** ROTIERTEN SYSTEM. DER NORDPOL DIESES SYSTEMS HAT
|
|
|
1830 |
C** DIE WAHREN KOORDINATEN (POLPHI, POLLAM)
|
|
|
1831 |
C** VERSIONS-
|
|
|
1832 |
C** DATUM : 03.05.90
|
|
|
1833 |
C**
|
|
|
1834 |
C** EXTERNALS: KEINE
|
|
|
1835 |
C** EINGABE-
|
|
|
1836 |
C** PARAMETER: PHI REAL BREITE DES PUNKTES IM GEOGR. SYSTEM
|
|
|
1837 |
C** LAM REAL LAENGE DES PUNKTES IM GEOGR. SYSTEM
|
|
|
1838 |
C** POLPHI REAL GEOGR.BREITE DES N-POLS DES ROT. SYSTEMS
|
|
|
1839 |
C** POLLAM REAL GEOGR.LAENGE DES N-POLS DES ROT. SYSTEMS
|
|
|
1840 |
C** AUSGABE-
|
|
|
1841 |
C** PARAMETER: WAHRE GEOGRAPHISCHE LAENGE ALS WERT DER FUNKTION
|
|
|
1842 |
C** ALLE WINKEL IN GRAD (NORDEN>0, OSTEN>0)
|
|
|
1843 |
C**
|
|
|
1844 |
C** COMMON-
|
|
|
1845 |
C** BLOECKE : KEINE
|
|
|
1846 |
C**
|
|
|
1847 |
C** FEHLERBE-
|
|
|
1848 |
C** HANDLUNG : KEINE
|
|
|
1849 |
C** VERFASSER: G. DE MORSIER
|
|
|
1850 |
|
|
|
1851 |
REAL LAM,PHI,POLPHI,POLLAM
|
|
|
1852 |
|
|
|
1853 |
DATA ZRPI18 , ZPIR18 / 57.2957795 , 0.0174532925 /
|
|
|
1854 |
|
|
|
1855 |
ZSINPOL = SIN(ZPIR18*POLPHI)
|
|
|
1856 |
ZCOSPOL = COS(ZPIR18*POLPHI)
|
|
|
1857 |
ZLAMPOL = ZPIR18*POLLAM
|
|
|
1858 |
ZPHI = ZPIR18*PHI
|
|
|
1859 |
ZLAM = LAM
|
|
|
1860 |
IF(ZLAM.GT.180.0) ZLAM = ZLAM - 360.0
|
|
|
1861 |
ZLAM = ZPIR18*ZLAM
|
|
|
1862 |
|
|
|
1863 |
ZARG1 = - SIN(ZLAM-ZLAMPOL)*COS(ZPHI)
|
|
|
1864 |
ZARG2 = - ZSINPOL*COS(ZPHI)*COS(ZLAM-ZLAMPOL)+ZCOSPOL*SIN(ZPHI)
|
|
|
1865 |
IF (ABS(ZARG2).LT.1.E-30) THEN
|
|
|
1866 |
IF (ABS(ZARG1).LT.1.E-30) THEN
|
|
|
1867 |
LMTOLMS = 0.0
|
|
|
1868 |
ELSEIF (ZARG1.GT.0.) THEN
|
|
|
1869 |
LMTOLMS = 90.0
|
|
|
1870 |
ELSE
|
|
|
1871 |
LMTOLMS = -90.0
|
|
|
1872 |
ENDIF
|
|
|
1873 |
ELSE
|
|
|
1874 |
LMTOLMS = ZRPI18*ATAN2(ZARG1,ZARG2)
|
|
|
1875 |
ENDIF
|
|
|
1876 |
|
|
|
1877 |
RETURN
|
|
|
1878 |
END
|
|
|
1879 |
REAL FUNCTION LMSTOLM (PHIS, LAMS, POLPHI, POLLAM)
|
|
|
1880 |
C
|
|
|
1881 |
C%Z% Modul %M%, V%I% vom %G%, extrahiert am %H%
|
|
|
1882 |
C
|
|
|
1883 |
C**** LMSTOLM - FC:BERECHNUNG DER WAHREN GEOGRAPHISCHEN LAENGE FUER
|
|
|
1884 |
C**** EINEN PUNKT MIT DEN KOORDINATEN (PHIS, LAMS)
|
|
|
1885 |
C**** IM ROTIERTEN SYSTEM. DER NORDPOL DES SYSTEMS HAT
|
|
|
1886 |
C**** DIE WAHREN KOORDINATEN (POLPHI, POLLAM)
|
|
|
1887 |
C** AUFRUF : LAM = LMSTOLM (PHIS, LAMS, POLPHI, POLLAM)
|
|
|
1888 |
C** ENTRIES : KEINE
|
|
|
1889 |
C** ZWECK : BERECHNUNG DER WAHREN GEOGRAPHISCHEN LAENGE FUER
|
|
|
1890 |
C** EINEN PUNKT MIT DEN KOORDINATEN (PHIS, LAMS)
|
|
|
1891 |
C** IM ROTIERTEN SYSTEM. DER NORDPOL DIESES SYSTEMS HAT
|
|
|
1892 |
C** DIE WAHREN KOORDINATEN (POLPHI, POLLAM)
|
|
|
1893 |
C** VERSIONS-
|
|
|
1894 |
C** DATUM : 03.05.90
|
|
|
1895 |
C**
|
|
|
1896 |
C** EXTERNALS: KEINE
|
|
|
1897 |
C** EINGABE-
|
|
|
1898 |
C** PARAMETER: PHIS REAL GEOGR. BREITE DES PUNKTES IM ROT.SYS.
|
|
|
1899 |
C** LAMS REAL GEOGR. LAENGE DES PUNKTES IM ROT.SYS.
|
|
|
1900 |
C** POLPHI REAL WAHRE GEOGR. BREITE DES NORDPOLS
|
|
|
1901 |
C** POLLAM REAL WAHRE GEOGR. LAENGE DES NORDPOLS
|
|
|
1902 |
C** AUSGABE-
|
|
|
1903 |
C** PARAMETER: WAHRE GEOGRAPHISCHE LAENGE ALS WERT DER FUNKTION
|
|
|
1904 |
C** ALLE WINKEL IN GRAD (NORDEN>0, OSTEN>0)
|
|
|
1905 |
C**
|
|
|
1906 |
C** COMMON-
|
|
|
1907 |
C** BLOECKE : KEINE
|
|
|
1908 |
C**
|
|
|
1909 |
C** FEHLERBE-
|
|
|
1910 |
C** HANDLUNG : KEINE
|
|
|
1911 |
C** VERFASSER: D.MAJEWSKI
|
|
|
1912 |
|
|
|
1913 |
REAL LAMS,PHIS,POLPHI,POLLAM
|
|
|
1914 |
|
|
|
1915 |
DATA ZRPI18 , ZPIR18 / 57.2957795 , 0.0174532925 /
|
|
|
1916 |
|
|
|
1917 |
ZSINPOL = SIN(ZPIR18*POLPHI)
|
|
|
1918 |
ZCOSPOL = COS(ZPIR18*POLPHI)
|
|
|
1919 |
ZLAMPOL = ZPIR18*POLLAM
|
|
|
1920 |
ZPHIS = ZPIR18*PHIS
|
|
|
1921 |
ZLAMS = LAMS
|
|
|
1922 |
IF(ZLAMS.GT.180.0) ZLAMS = ZLAMS - 360.0
|
|
|
1923 |
ZLAMS = ZPIR18*ZLAMS
|
|
|
1924 |
|
|
|
1925 |
ZARG1 = SIN(ZLAMPOL)*(- ZSINPOL*COS(ZLAMS)*COS(ZPHIS) +
|
|
|
1926 |
1 ZCOSPOL* SIN(ZPHIS)) -
|
|
|
1927 |
2 COS(ZLAMPOL)* SIN(ZLAMS)*COS(ZPHIS)
|
|
|
1928 |
ZARG2 = COS(ZLAMPOL)*(- ZSINPOL*COS(ZLAMS)*COS(ZPHIS) +
|
|
|
1929 |
1 ZCOSPOL* SIN(ZPHIS)) +
|
|
|
1930 |
2 SIN(ZLAMPOL)* SIN(ZLAMS)*COS(ZPHIS)
|
|
|
1931 |
IF (ABS(ZARG2).LT.1.E-30) THEN
|
|
|
1932 |
IF (ABS(ZARG1).LT.1.E-30) THEN
|
|
|
1933 |
LMSTOLM = 0.0
|
|
|
1934 |
ELSEIF (ZARG1.GT.0.) THEN
|
|
|
1935 |
LMSTOLAM = 90.0
|
|
|
1936 |
ELSE
|
|
|
1937 |
LMSTOLAM = -90.0
|
|
|
1938 |
ENDIF
|
|
|
1939 |
ELSE
|
|
|
1940 |
LMSTOLM = ZRPI18*ATAN2(ZARG1,ZARG2)
|
|
|
1941 |
ENDIF
|
|
|
1942 |
|
|
|
1943 |
RETURN
|
|
|
1944 |
END
|
|
|
1945 |
c-----------------------------------------------------------------
|
|
|
1946 |
real function uvtouem(u,v,lon,lat,lonpol,latpol)
|
|
|
1947 |
c-----------------------------------------------------------------
|
|
|
1948 |
c Rene Fehlmann, Wed Nov 1 13:31:28 MET 1995
|
|
|
1949 |
c INPUT:
|
|
|
1950 |
c - winds in geographical coordinated system
|
|
|
1951 |
c - geographical coordinates
|
|
|
1952 |
c - coordinates of the rotated pole
|
|
|
1953 |
c OUTPUT
|
|
|
1954 |
c - u-component of the rotated wind
|
|
|
1955 |
c-----------------------------------------------------------------
|
|
|
1956 |
|
|
|
1957 |
real u,v,lon,lat,lonpol,latpol
|
|
|
1958 |
real lampol,phipol,lam,phi
|
|
|
1959 |
real cosdlam,cosphipol,cosphi
|
|
|
1960 |
real sindlam,sinphipol,sinphi
|
|
|
1961 |
|
|
|
1962 |
data pid180 / 0.0174532925199 /
|
|
|
1963 |
|
|
|
1964 |
c-----------------------------------------------------------------
|
|
|
1965 |
|
|
|
1966 |
lampol=lonpol*pid180
|
|
|
1967 |
phipol=latpol*pid180
|
|
|
1968 |
lam=lon*pid180
|
|
|
1969 |
phi=lat*pid180
|
|
|
1970 |
cosdlam=cos(lampol-lam)
|
|
|
1971 |
cosphipol=cos(phipol)
|
|
|
1972 |
cosphi=cos(phi)
|
|
|
1973 |
sinphipol=sin(phipol)
|
|
|
1974 |
sinphi=sin(phi)
|
|
|
1975 |
cosdlam=cosdlam
|
|
|
1976 |
sindlam=sin(lampol-lam)
|
|
|
1977 |
|
|
|
1978 |
uvtouem=-(sqrt(1.-(cosdlam*cosphipol*cosphi+
|
|
|
1979 |
> sinphipol*sinphi)**2.)*(-(u*cosdlam/
|
|
|
1980 |
> ((cosdlam*cosphi*sinphipol-
|
|
|
1981 |
> cosphipol*sinphi))) + sindlam*
|
|
|
1982 |
> (-(v*sinphi/
|
|
|
1983 |
> ((cosdlam*cosphi*sinphipol -
|
|
|
1984 |
> cosphipol*sinphi))) -
|
|
|
1985 |
> cosphi*(-(v*cosphipol*cosphi) +
|
|
|
1986 |
> sinphipol*(u*sindlam - v*cosdlam*sinphi))/
|
|
|
1987 |
> (cos(lampol - lam)*cosphi*sinphipol -
|
|
|
1988 |
> cosphipol*sinphi)**2))/
|
|
|
1989 |
> (1. + cosphi**2. *sindlam**2./
|
|
|
1990 |
> (cosdlam*cosphi*sinphipol -
|
|
|
1991 |
> cosphipol*sinphi)**2.))
|
|
|
1992 |
|
|
|
1993 |
return
|
|
|
1994 |
end
|
|
|
1995 |
c-----------------------------------------------------------------
|
|
|
1996 |
real function uvtovem(u,v,lon,lat,lonpol,latpol)
|
|
|
1997 |
c-----------------------------------------------------------------
|
|
|
1998 |
c Rene Fehlmann, Wed Nov 1 13:31:28 MET 1995
|
|
|
1999 |
c INPUT:
|
|
|
2000 |
c - winds in geographical coordinated system
|
|
|
2001 |
c - geographical coordinates
|
|
|
2002 |
c - coordinates of the rotated pole
|
|
|
2003 |
c OUTPUT
|
|
|
2004 |
c - v-component of the rotated wind
|
|
|
2005 |
c-----------------------------------------------------------------
|
|
|
2006 |
|
|
|
2007 |
real u,v,lon,lat,lonpol,latpol
|
|
|
2008 |
real lampol,phipol,lam,phi
|
|
|
2009 |
|
|
|
2010 |
real cosdlam,cosphipol,cosphi
|
|
|
2011 |
real sindlam,sinphipol,sinphi
|
|
|
2012 |
|
|
|
2013 |
data pid180 / 0.0174532925199 /
|
|
|
2014 |
|
|
|
2015 |
c-----------------------------------------------------------------
|
|
|
2016 |
|
|
|
2017 |
lampol=lonpol*pid180
|
|
|
2018 |
phipol=latpol*pid180
|
|
|
2019 |
lam=lon*pid180
|
|
|
2020 |
phi=lat*pid180
|
|
|
2021 |
cosdlam=cos(lampol-lam)
|
|
|
2022 |
cosphipol=cos(phipol)
|
|
|
2023 |
cosphi=cos(phi)
|
|
|
2024 |
sinphipol=sin(phipol)
|
|
|
2025 |
sinphi=sin(phi)
|
|
|
2026 |
cosdlam=cosdlam
|
|
|
2027 |
sindlam=sin(lampol-lam)
|
|
|
2028 |
|
|
|
2029 |
uvtovem=(v*cosphi*sinphipol + cosphipol*
|
|
|
2030 |
> (u*sindlam-v*cosdlam*sinphi))/
|
|
|
2031 |
> sqrt(1.-(cosdlam*cosphipol*cosphi +
|
|
|
2032 |
> sinphipol*sinphi)**2.)
|
|
|
2033 |
|
|
|
2034 |
return
|
|
|
2035 |
end
|
|
|
2036 |
c-----------------------------------------------------------------
|
|
|
2037 |
real function uvtougm(up,vp,lonp,latp,lonpol,latpol)
|
|
|
2038 |
c-----------------------------------------------------------------
|
|
|
2039 |
c Rene Fehlmann, Wed Nov 1 13:31:28 MET 1995
|
|
|
2040 |
c INPUT:
|
|
|
2041 |
c - rotated winds (i.e. wrt equatorial grid)
|
|
|
2042 |
c - rotated coordinates (i.e. on equatorial grid)
|
|
|
2043 |
c - coordinates of the rotated pole
|
|
|
2044 |
c OUTPUT
|
|
|
2045 |
c - u-component of the wind (i.e. real W-E wind)
|
|
|
2046 |
c-----------------------------------------------------------------
|
|
|
2047 |
|
|
|
2048 |
real up,vp,lonp,latp,lonpol,latpol
|
|
|
2049 |
real lampol,phipol,lamp,phip,pid180
|
|
|
2050 |
|
|
|
2051 |
data pid180 / 0.0174532925199 /
|
|
|
2052 |
|
|
|
2053 |
c-----------------------------------------------------------------
|
|
|
2054 |
|
|
|
2055 |
phip=latp*pid180
|
|
|
2056 |
lamp=lonp*pid180
|
|
|
2057 |
phipol=latpol*pid180
|
|
|
2058 |
lampol=lonpol*pid180
|
|
|
2059 |
|
|
|
2060 |
uvtougm=8*Cos(ASin(Cos(lamp)*Cos(phipol)*Cos(phip) +
|
|
|
2061 |
- Sin(phipol)*Sin(phip)))*
|
|
|
2062 |
- (-2*vp*Sin(lamp - phipol) - 2*vp*Sin(lamp + phipol) -
|
|
|
2063 |
- up*Sin(lamp - phipol - phip) -
|
|
|
2064 |
> 2*up*Sin(phipol - phip) -
|
|
|
2065 |
- up*Sin(lamp + phipol - phip) + up*Sin(lamp -
|
|
|
2066 |
> phipol + phip) -
|
|
|
2067 |
- 2*up*Sin(phipol + phip) + up*Sin(lamp + phipol + phip))/
|
|
|
2068 |
- (-20 + 4*Cos(2*lamp) + 2*Cos(2*(lamp - phipol)) -
|
|
|
2069 |
> 4*Cos(2*phipol) +
|
|
|
2070 |
- 2*Cos(2*(lamp + phipol)) - 4*Cos(lamp - 2*phipol - 2*phip) +
|
|
|
2071 |
- 4*Cos(lamp + 2*phipol - 2*phip) + 2*Cos(2*(lamp - phip)) +
|
|
|
2072 |
- Cos(2*(lamp - phipol - phip)) + 6*Cos(2*(phipol - phip)) +
|
|
|
2073 |
- Cos(2*(lamp + phipol - phip)) - 4*Cos(2*phip) +
|
|
|
2074 |
- 2*Cos(2*(lamp + phip)) + Cos(2*(lamp - phipol + phip)) +
|
|
|
2075 |
- 6*Cos(2*(phipol + phip)) + Cos(2*(lamp + phipol + phip)) +
|
|
|
2076 |
- 4*Cos(lamp - 2*phipol + 2*phip) -
|
|
|
2077 |
- 4*Cos(lamp + 2*phipol + 2*phip))
|
|
|
2078 |
|
|
|
2079 |
return
|
|
|
2080 |
end
|
|
|
2081 |
c-----------------------------------------------------------------
|
|
|
2082 |
real function uvtovgm(up,vp,lonp,latp,lonpol,latpol)
|
|
|
2083 |
c-----------------------------------------------------------------
|
|
|
2084 |
c Rene Fehlmann, Wed Nov 1 13:31:28 MET 1995
|
|
|
2085 |
c INPUT:
|
|
|
2086 |
c - rotated winds (i.e. wrt equatorial grid)
|
|
|
2087 |
c - rotated coordinates (i.e. on equatorial grid)
|
|
|
2088 |
c - coordinates of the rotated pole
|
|
|
2089 |
c OUTPUT
|
|
|
2090 |
c - v-component of the wind (i.e. real N-S wind)
|
|
|
2091 |
c-----------------------------------------------------------------
|
|
|
2092 |
|
|
|
2093 |
real up,vp,lonp,latp,lonpol,latpol
|
|
|
2094 |
real lampol,phipol,lamp,phip
|
|
|
2095 |
|
|
|
2096 |
data pid180 / 0.0174532925199 /
|
|
|
2097 |
|
|
|
2098 |
c-----------------------------------------------------------------
|
|
|
2099 |
|
|
|
2100 |
phip=latp*pid180
|
|
|
2101 |
lamp=lonp*pid180
|
|
|
2102 |
phipol=latpol*pid180
|
|
|
2103 |
lampol=lonpol*pid180
|
|
|
2104 |
|
|
|
2105 |
uvtovgm=(vp*Cos(phip)*Sin(phipol) +
|
|
|
2106 |
- Cos(phipol)*(-(up*Sin(lamp)) -
|
|
|
2107 |
- vp*Cos(lamp)*Sin(phip)))/
|
|
|
2108 |
- Sqrt(1 - (Cos(lamp)*Cos(phipol)*Cos(phip) +
|
|
|
2109 |
- Sin(phipol)*Sin(phip))**2)
|
|
|
2110 |
|
|
|
2111 |
return
|
|
|
2112 |
end
|