| 0,0 → 1,542 |
|---|
| PROGRAM hydrostatic |
| |
| c Calculate the geopotential and add it to the P file |
| c Michael Sprenger / Spring 2006 |
| |
| implicit none |
| |
| c --------------------------------------------------------------- |
| c Declaration of variables |
| c --------------------------------------------------------------- |
| |
| c Variables for input P file : model level |
| character*80 ml_pfn |
| real ml_varmin(4),ml_varmax(4),ml_stag(4) |
| integer ml_vardim(4) |
| real ml_mdv |
| integer ml_ndim |
| integer ml_nx,ml_ny,ml_nz |
| real ml_xmin,ml_xmax,ml_ymin,ml_ymax,ml_dx,ml_dy |
| integer ml_ntimes |
| real ml_aklev(500),ml_bklev(500) |
| real ml_aklay(500),ml_bklay(500) |
| real ml_time |
| real ml_pollon,ml_pollat |
| integer ml_nvars |
| character*80 ml_vnam(100) |
| integer ml_idate(5) |
| real,allocatable, dimension (:,:) :: ml_ps,ml_zb |
| real,allocatable, dimension (:,:,:) :: ml_t3,ml_q3,ml_p3,ml_tv3 |
| real,allocatable, dimension (:,:,:) :: ml_zlay3 |
| |
| c Variables for input Z file : pressure level |
| character*80 pl_zfn |
| real pl_varmin(4),pl_varmax(4),pl_stag(4) |
| integer pl_vardim(4) |
| real pl_mdv |
| integer pl_ndim |
| integer pl_nx,pl_ny,pl_nz |
| real pl_xmin,pl_xmax,pl_ymin,pl_ymax,pl_dx,pl_dy |
| integer pl_ntimes |
| real pl_aklev(500),pl_bklev(500) |
| real pl_aklay(500),pl_bklay(500) |
| real pl_time |
| real pl_pollon,pl_pollat |
| integer pl_nvars |
| character*80 pl_vnam(100) |
| integer pl_idate(5) |
| real,allocatable, dimension (:,:,:) :: pl_z3,pl_p3 |
| |
| c Physical and numerical parameters |
| real g |
| parameter (g=9.80665) |
| real eps |
| parameter (eps=0.01) |
| real tzero |
| parameter (tzero=273.15) |
| real kappa |
| parameter (kappa=0.6078) |
| real zerodiv |
| parameter (zerodiv=0.0000000001) |
| real dpmin |
| parameter (dpmin=10.) |
| real rdg |
| parameter (rdg=29.271) |
| |
| c Auxiliary variables |
| integer ierr |
| integer cdfid,cstid |
| character*80 cfn |
| integer stat |
| real time |
| real tv1(1000),z1(1000),p1(1000),f1(1000) |
| real spline_tv1(1000),spline_f1(1000),spline_z1(1000) |
| real pu,po,zu,zo,p,z,dp,p0,tvu,tvo,ff |
| integer i,j,k,l |
| integer lmin,n |
| character*80 varname,cdfname |
| integer isok |
| integer mode |
| |
| c ----------------------------------------------------------------- |
| c Read input fields |
| c ----------------------------------------------------------------- |
| |
| print*,'*********************************************************' |
| print*,'* hydrostatic *' |
| print*,'*********************************************************' |
| |
| c Read in the parameter file |
| open(10,file='fort.10') |
| read(10,*) ml_pfn |
| read(10,*) pl_zfn |
| close(10) |
| |
| c Decide which mode is used (1: reference from Z, 2: reference from ORO/PS) |
| if ( trim(ml_pfn).ne.trim(pl_zfn) ) then |
| mode=1 |
| print*,'Taking reference from Z ',trim(pl_zfn) |
| else |
| mode=2 |
| print*,'Taking reference from ORO/PS ',trim(pl_zfn) |
| endif |
| |
| print*,trim(ml_pfn) |
| print*,trim(pl_zfn) |
| |
| c Get grid description for P file : model level |
| call cdfopn(ml_pfn,cdfid,ierr) |
| if (ierr.ne.0) goto 998 |
| call getcfn(cdfid,cfn,ierr) |
| if (ierr.ne.0) goto 998 |
| call cdfopn(cfn,cstid,ierr) |
| if (ierr.ne.0) goto 998 |
| call getvars(cdfid,ml_nvars,ml_vnam,ierr) |
| varname='T' |
| isok=0 |
| call check_varok (isok,varname,ml_vnam,ml_nvars) |
| if (isok.ne.1) goto 998 |
| call getdef(cdfid,varname,ml_ndim,ml_mdv,ml_vardim, |
| > ml_varmin,ml_varmax,ml_stag,ierr) |
| if (ierr.ne.0) goto 998 |
| ml_nx =ml_vardim(1) |
| ml_ny =ml_vardim(2) |
| ml_nz =ml_vardim(3) |
| ml_xmin=ml_varmin(1) |
| ml_ymin=ml_varmin(2) |
| call getlevs(cstid,ml_nz,ml_aklev,ml_bklev,ml_aklay,ml_bklay,ierr) |
| call getgrid(cstid,ml_dx,ml_dy,ierr) |
| ml_xmax=ml_xmin+real(ml_nx-1)*ml_dx |
| ml_ymax=ml_ymin+real(ml_ny-1)*ml_dy |
| call gettimes(cdfid,ml_time,ml_ntimes,ierr) |
| call getstart(cstid,ml_idate,ierr) |
| call getpole(cstid,ml_pollon,ml_pollat,ierr) |
| call clscdf(cstid,ierr) |
| call clscdf(cdfid,ierr) |
| |
| c Get grid description reference: either ORO(P) or Z(Z) |
| call cdfopn(pl_zfn,cdfid,ierr) |
| if (ierr.ne.0) goto 998 |
| call getcfn(cdfid,cfn,ierr) |
| if (ierr.ne.0) goto 998 |
| call cdfopn(cfn,cstid,ierr) |
| if (ierr.ne.0) goto 998 |
| call getvars(cdfid,pl_nvars,pl_vnam,ierr) |
| if (mode.eq.1) then |
| varname='Z' |
| isok=0 |
| call check_varok (isok,varname,pl_vnam,pl_nvars) |
| if (isok.ne.1) goto 998 |
| call getdef(cdfid,varname,pl_ndim,pl_mdv,pl_vardim, |
| > pl_varmin,pl_varmax,pl_stag,ierr) |
| if (ierr.ne.0) goto 998 |
| call getlevs(cstid,pl_nz,pl_aklev,pl_bklev, |
| > pl_aklay,pl_bklay,ierr) |
| call getgrid(cstid,pl_dx,pl_dy,ierr) |
| call gettimes(cdfid,pl_time,pl_ntimes,ierr) |
| call getstart(cstid,pl_idate,ierr) |
| call getpole(cstid,pl_pollon,pl_pollat,ierr) |
| |
| else if (mode.eq.2) then |
| varname='ORO' |
| isok=0 |
| call check_varok (isok,varname,pl_vnam,pl_nvars) |
| if (isok.ne.1) goto 998 |
| call getdef(cdfid,varname,pl_ndim,pl_mdv,pl_vardim, |
| > pl_varmin,pl_varmax,pl_stag,ierr) |
| if (ierr.ne.0) goto 998 |
| call getgrid(cstid,pl_dx,pl_dy,ierr) |
| call gettimes(cdfid,pl_time,pl_ntimes,ierr) |
| call getstart(cstid,pl_idate,ierr) |
| call getpole(cstid,pl_pollon,pl_pollat,ierr) |
| |
| endif |
| pl_nx =pl_vardim(1) |
| pl_ny =pl_vardim(2) |
| pl_nz =pl_vardim(3) |
| pl_xmin=pl_varmin(1) |
| pl_ymin=pl_varmin(2) |
| pl_xmax=pl_xmin+real(pl_nx-1)*pl_dx |
| pl_ymax=pl_ymin+real(pl_ny-1)*pl_dy |
| call clscdf(cstid,ierr) |
| call clscdf(cdfid,ierr) |
| |
| c Consitency check for the grids |
| if ( (ml_nx.ne.pl_nx).or. |
| > (ml_ny.ne.pl_ny).or. |
| > (abs(ml_xmin-pl_xmin ).gt.eps).or. |
| > (abs(ml_ymin-pl_ymin ).gt.eps).or. |
| > (abs(ml_xmax-pl_xmax ).gt.eps).or. |
| > (abs(ml_ymax-pl_ymax ).gt.eps).or. |
| > (abs(ml_dx -pl_dx ).gt.eps).or. |
| > (abs(ml_dy -pl_dy ).gt.eps).or. |
| > (abs(ml_time-pl_time ).gt.eps).or. |
| > (abs(ml_pollon-pl_pollon).gt.eps).or. |
| > (abs(ml_pollat-pl_pollat).gt.eps)) then |
| print*,'Input P and Z grids are not consistent... Stop' |
| print*,'Xmin ',ml_xmin ,pl_xmin |
| print*,'Ymin ',ml_ymin ,pl_ymin |
| print*,'Xmax ',ml_xmax ,pl_xmax |
| print*,'Ymax ',ml_ymax ,pl_ymax |
| print*,'Dx ',ml_dx ,pl_dx |
| print*,'Dy ',ml_dy ,pl_dy |
| print*,'Pollon ',ml_pollon ,pl_pollon |
| print*,'Pollat ',ml_pollat ,pl_pollat |
| print*,'Time ',ml_time ,pl_time |
| stop |
| endif |
| |
| c Allocate memory for all fields |
| allocate(ml_ps(ml_nx,ml_ny),stat=stat) |
| if (stat.ne.0) print*,'*** error allocating array ml_ps ***' |
| allocate(ml_zb(ml_nx,ml_ny),stat=stat) |
| if (stat.ne.0) print*,'*** error allocating array ml_zb ***' |
| allocate(ml_p3(ml_nx,ml_ny,ml_nz),stat=stat) |
| if (stat.ne.0) print*,'*** error allocating array ml_p3 ***' |
| allocate(ml_t3(ml_nx,ml_ny,ml_nz),stat=stat) |
| if (stat.ne.0) print*,'*** error allocating array ml_t3 ***' |
| allocate(ml_q3(ml_nx,ml_ny,ml_nz),stat=stat) |
| if (stat.ne.0) print*,'*** error allocating array ml_q3 ***' |
| allocate(ml_tv3(ml_nx,ml_ny,ml_nz),stat=stat) |
| if (stat.ne.0) print*,'*** error allocating array ml_tv3 ***' |
| allocate(ml_zlay3(ml_nx,ml_ny,ml_nz),stat=stat) |
| if (stat.ne.0) print*,'*** error allocating array ml_zlay3 ***' |
| |
| allocate(pl_z3(pl_nx,pl_ny,pl_nz),stat=stat) |
| if (stat.ne.0) print*,'*** error allocating array pl_z3 ***' |
| allocate(pl_p3(pl_nx,pl_ny,pl_nz),stat=stat) |
| if (stat.ne.0) print*,'*** error allocating array pl_p3 ***' |
| |
| c Read T, Q, PS from P file |
| call cdfopn(ml_pfn,cdfid,ierr) |
| if (ierr.ne.0) goto 998 |
| isok=0 |
| varname='T' |
| call check_varok (isok,varname, ml_vnam,ml_nvars) |
| varname='Q' |
| call check_varok (isok,varname, ml_vnam,ml_nvars) |
| varname='PS' |
| call check_varok (isok,varname,ml_vnam,ml_nvars) |
| if (isok.ne.3) goto 998 |
| print*,'R T ',trim(ml_pfn) |
| call getdat(cdfid,'T',ml_time,0,ml_t3,ierr) |
| print*,'R Q ',trim(ml_pfn) |
| call getdat(cdfid,'Q',ml_time,0,ml_q3,ierr) |
| print*,'R PS ',trim(ml_pfn) |
| call getdat(cdfid,'PS',ml_time,1,ml_ps,ierr) |
| call clscdf(cdfid,ierr) |
| |
| c Read ORO from P or Z from Z file |
| call cdfopn(pl_zfn,cdfid,ierr) |
| if (ierr.ne.0) goto 998 |
| if (mode.eq.1) then |
| isok=0 |
| varname='Z' |
| call check_varok (isok,varname,pl_vnam,pl_nvars) |
| if (isok.ne.1) goto 998 |
| print*,'R Z ',trim(pl_zfn) |
| call getdat(cdfid,varname,pl_time,0,pl_z3,ierr) |
| else if (mode.eq.2) then |
| isok=0 |
| varname='ORO' |
| call check_varok (isok,varname,pl_vnam,pl_nvars) |
| if (isok.ne.1) goto 998 |
| print*,'R ORO ',trim(pl_zfn) |
| call getdat(cdfid,varname,pl_time,1,pl_z3,ierr) |
| endif |
| call clscdf(cdfid,ierr) |
| |
| c Set the values for the pressure on the pressure levels |
| do i=1,pl_nx |
| do j=1,pl_ny |
| do k=1,pl_nz |
| if (mode.eq.1) then |
| pl_p3(i,j,k)=pl_aklay(k) |
| else if (mode.eq.2) then |
| pl_p3(i,j,k)=ml_ps(i,j) |
| endif |
| enddo |
| enddo |
| enddo |
| |
| c Calculate 3d pressure field |
| print*,'C P' |
| do k=1,ml_nz |
| do i=1,ml_nx |
| do j=1,ml_ny |
| ml_p3(i,j,k)=ml_aklay(k)+ml_bklay(k)*ml_ps(i,j) |
| enddo |
| enddo |
| enddo |
| |
| c Calculate 3d virtual temperature |
| print*,'C TV' |
| do k=1,ml_nz |
| do i=1,ml_nx |
| do j=1,ml_ny |
| ml_tv3(i,j,k) = (ml_t3(i,j,k)+tzero)* |
| > (1.+kappa*ml_q3(i,j,k)) |
| enddo |
| enddo |
| enddo |
| |
| c ----------------------------------------------------------------- |
| c Calculate geopotential |
| c ----------------------------------------------------------------- |
| |
| c Integrate hydrostatic equation towards layers |
| print*,'C HYDROSTATIC EQUATION (LAYERS)' |
| do i=1,ml_nx |
| do j=1,ml_ny |
| |
| c Make the virtual temperature profile available |
| do k=1,ml_nz |
| p1 (ml_nz-k+1)=ml_p3 (i,j,k) |
| tv1(ml_nz-k+1)=ml_tv3(i,j,k) |
| enddo |
| call spline (p1,tv1,ml_nz,1.e30,1.e30,spline_tv1) |
| |
| c Loop over all model levels |
| do k=1,ml_nz |
| |
| c Get pressure at the grid point |
| p = ml_aklay(k)+ml_bklay(k)*ml_ps(i,j) |
| |
| c Find nearest pressure level which is above topography |
| if (mode.eq.1) then |
| lmin=pl_nz |
| do l=1,pl_nz |
| if ((abs(p-pl_p3(i,j,l))).lt. |
| > (abs(p-pl_p3(i,j,lmin))) |
| > .and. |
| > (pl_p3(i,j,l).lt.ml_ps(i,j)) ) then |
| lmin=l |
| endif |
| enddo |
| else if (mode.eq.2) then |
| lmin=1 |
| endif |
| |
| c Integrate hydrostatic equation from this level to the grid point |
| p0 = pl_p3(i,j,lmin) |
| n = nint(abs(p-p0)/dpmin) |
| if (n.lt.1) n=1 |
| dp = (p-p0)/real(n) |
| |
| pu = p0 |
| z = pl_z3(i,j,lmin) |
| call splint(p1,tv1,spline_tv1,ml_nz,pu,tvu) |
| do l=1,n |
| po = pu+dp |
| call splint(p1,tv1,spline_tv1,ml_nz,po,tvo) |
| z = z + rdg*0.5*(tvu+tvo)*alog(pu/po) |
| tvu = tvo |
| pu = po |
| enddo |
| |
| c Set the geopotential at the grid point |
| ml_zlay3(i,j,k) = z |
| |
| enddo |
| |
| enddo |
| |
| enddo |
| |
| c ----------------------------------------------------------------- |
| c Calculate height of topography |
| c ----------------------------------------------------------------- |
| |
| if (mode.eq.1) then |
| print*,'C TOPOGRAPHY' |
| do i=1,ml_nx |
| do j=1,ml_ny |
| |
| c Make the z/p profile available |
| do k=1,ml_nz |
| p1(ml_nz-k+1)=ml_p3(i,j,k) |
| z1(ml_nz-k+1)=ml_zlay3(i,j,k) |
| enddo |
| |
| c Cubic spline interpolation |
| call spline (p1,z1,ml_nz,1.e30,1.e30,spline_z1) |
| call splint (p1,z1,spline_z1,ml_nz,ml_ps(i,j),ml_zb(i,j)) |
| |
| enddo |
| enddo |
| endif |
| |
| c ----------------------------------------------------------------- |
| c Write the topography and geopotential to P file |
| c ----------------------------------------------------------------- |
| |
| c Open P file |
| call cdfwopn(trim(ml_pfn),cdfid,ierr) |
| |
| c Write orography (levels) |
| if (mode.eq.1) then |
| varname='ORO' |
| print*,'W ',trim(varname),' ',trim(ml_pfn) |
| isok=0 |
| call check_varok (isok,varname,ml_vnam,ml_nvars) |
| if (isok.eq.0) then |
| ml_vardim(3)=1 |
| call putdef(cdfid,varname,ml_ndim,ml_mdv,ml_vardim, |
| > ml_varmin,ml_varmax,ml_stag,ierr) |
| ml_vardim(3)=ml_nz |
| if (ierr.ne.0) goto 997 |
| endif |
| call putdat(cdfid,varname,ml_time,1,ml_zb,ierr) |
| if (ierr.ne.0) goto 997 |
| endif |
| |
| c Write geopotential on layers |
| varname='Z_DIA' |
| print*,'W ',trim(varname),' ',trim(ml_pfn) |
| isok=0 |
| call check_varok (isok,varname,ml_vnam,ml_nvars) |
| if (isok.eq.0) then |
| ml_stag(3)=-0.5 |
| call putdef(cdfid,varname,ml_ndim,ml_mdv,ml_vardim, |
| > ml_varmin,ml_varmax,ml_stag,ierr) |
| if (ierr.ne.0) goto 997 |
| endif |
| call putdat(cdfid,varname,ml_time,0,ml_zlay3,ierr) |
| if (ierr.ne.0) goto 997 |
| |
| c Close P file |
| call clscdf(cdfid,ierr) |
| |
| c ----------------------------------------------------------------- |
| c Exception handling and format specs |
| c ----------------------------------------------------------------- |
| |
| stop |
| |
| 998 print*,'Z: Problems with input from m level' |
| stop |
| |
| 997 print*,'Z: Problems with output on m level' |
| stop |
| |
| 996 print*,'F: Problems with input from m level' |
| stop |
| |
| 995 print*,'F: Problems with output on z level' |
| stop |
| |
| |
| end |
| |
| c ------------------------------------------------------------- |
| c Natural cubic spline |
| c ------------------------------------------------------------- |
| |
| SUBROUTINE spline(x,y,n,yp1,ypn,y2) |
| INTEGER n,NMAX |
| REAL yp1,ypn,x(n),y(n),y2(n) |
| PARAMETER (NMAX=500) |
| INTEGER i,k |
| REAL p,qn,sig,un,u(NMAX) |
| if (yp1.gt..99e30) then |
| y2(1)=0. |
| u(1)=0. |
| else |
| y2(1)=-0.5 |
| u(1)=(3./(x(2)-x(1)))*((y(2)-y(1))/(x(2)-x(1))-yp1) |
| endif |
| do 11 i=2,n-1 |
| sig=(x(i)-x(i-1))/(x(i+1)-x(i-1)) |
| p=sig*y2(i-1)+2. |
| y2(i)=(sig-1.)/p |
| u(i)=(6.*((y(i+1)-y(i))/(x(i+ |
| *1)-x(i))-(y(i)-y(i-1))/(x(i)-x(i-1)))/(x(i+1)-x(i-1))-sig* |
| *u(i-1))/p |
| 11 continue |
| if (ypn.gt..99e30) then |
| qn=0. |
| un=0. |
| else |
| qn=0.5 |
| un=(3./(x(n)-x(n-1)))*(ypn-(y(n)-y(n-1))/(x(n)-x(n-1))) |
| endif |
| y2(n)=(un-qn*u(n-1))/(qn*y2(n-1)+1.) |
| do 12 k=n-1,1,-1 |
| y2(k)=y2(k)*y2(k+1)+u(k) |
| 12 continue |
| return |
| END |
| |
| |
| SUBROUTINE splint(xa,ya,y2a,n,x,y) |
| INTEGER n |
| REAL x,y,xa(n),y2a(n),ya(n) |
| INTEGER k,khi,klo |
| REAL a,b,h |
| klo=1 |
| khi=n |
| 1 if (khi-klo.gt.1) then |
| k=(khi+klo)/2 |
| if(xa(k).gt.x)then |
| khi=k |
| else |
| klo=k |
| endif |
| goto 1 |
| endif |
| h=xa(khi)-xa(klo) |
| if (h.eq.0.) pause 'bad xa input in splint' |
| a=(xa(khi)-x)/h |
| b=(x-xa(klo))/h |
| y=a*ya(klo)+b*ya(khi)+((a**3-a)*y2a(klo)+(b**3-b)*y2a(khi))*(h** |
| *2)/6. |
| return |
| END |
| |
| c ---------------------------------------------------------------- |
| c Check whether variable is found on netcdf file |
| c ---------------------------------------------------------------- |
| |
| subroutine check_varok (isok,varname,varlist,nvars) |
| |
| c Check whether the variable <varname> is in the list <varlist(nvars)>. |
| c If this is the case, <isok> is incremented by 1. Otherwise <isok> |
| c keeps its value. |
| |
| implicit none |
| |
| c Declaraion of subroutine parameters |
| integer isok |
| integer nvars |
| character*80 varname |
| character*80 varlist(nvars) |
| |
| c Auxiliary variables |
| integer i |
| |
| c Main |
| do i=1,nvars |
| if (trim(varname).eq.trim(varlist(i))) isok=isok+1 |
| enddo |
| |
| end |
| Property changes: |
|---|
| Added: svn:executable |
|---|