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cu_ntiedtke.F90
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cu_ntiedtke.F90
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!=================================================================================================================
module cu_ntiedtke_common
use ccpp_kind_types,only: kind_phys
implicit none
save
real(kind=kind_phys):: alf
real(kind=kind_phys):: als
real(kind=kind_phys):: alv
real(kind=kind_phys):: cpd
real(kind=kind_phys):: g
real(kind=kind_phys):: rd
real(kind=kind_phys):: rv
real(kind=kind_phys),parameter:: t13 = 1.0/3.0
real(kind=kind_phys),parameter:: tmelt = 273.16
real(kind=kind_phys),parameter:: c1es = 610.78
real(kind=kind_phys),parameter:: c3les = 17.2693882
real(kind=kind_phys),parameter:: c3ies = 21.875
real(kind=kind_phys),parameter:: c4les = 35.86
real(kind=kind_phys),parameter:: c4ies = 7.66
real(kind=kind_phys),parameter:: rtwat = tmelt
real(kind=kind_phys),parameter:: rtber = tmelt-5.
real(kind=kind_phys),parameter:: rtice = tmelt-23.
integer,parameter:: momtrans = 2
real(kind=kind_phys),parameter:: entrdd = 2.0e-4
real(kind=kind_phys),parameter:: cmfcmax = 1.0
real(kind=kind_phys),parameter:: cmfcmin = 1.e-10
real(kind=kind_phys),parameter:: cmfdeps = 0.30
real(kind=kind_phys),parameter:: zdnoprc = 2.0e4
real(kind=kind_phys),parameter:: cprcon = 1.4e-3
real(kind=kind_phys),parameter:: pgcoef = 0.7
real(kind=kind_phys):: rcpd
real(kind=kind_phys):: c2es
real(kind=kind_phys):: c5les
real(kind=kind_phys):: c5ies
real(kind=kind_phys):: r5alvcp
real(kind=kind_phys):: r5alscp
real(kind=kind_phys):: ralvdcp
real(kind=kind_phys):: ralsdcp
real(kind=kind_phys):: ralfdcp
real(kind=kind_phys):: vtmpc1
real(kind=kind_phys):: zrg
logical,parameter:: nonequil = .true.
logical,parameter:: lmfpen = .true.
logical,parameter:: lmfmid = .true.
logical,parameter:: lmfscv = .true.
logical,parameter:: lmfdd = .true.
logical,parameter:: lmfdudv = .true.
!=================================================================================================================
end module cu_ntiedtke_common
!=================================================================================================================
module cu_ntiedtke
use ccpp_kind_types,only: kind_phys
use cu_ntiedtke_common
implicit none
private
public:: cu_ntiedtke_run, &
cu_ntiedtke_init, &
cu_ntiedtke_finalize
contains
!=================================================================================================================
!>\section arg_table_cu_ntiedtke_init
!!\html\include cu_ntiedtke_init.html
!!
subroutine cu_ntiedtke_init(con_cp,con_rd,con_rv,con_xlv,con_xls,con_xlf,con_grav,errmsg,errflg)
!=================================================================================================================
!input arguments:
real(kind=kind_phys),intent(in):: &
con_cp, &
con_rd, &
con_rv, &
con_xlv, &
con_xls, &
con_xlf, &
con_grav
!--- output arguments:
character(len=*),intent(out):: errmsg
integer,intent(out):: errflg
!-----------------------------------------------------------------------------------------------------------------
alf = con_xlf
als = con_xls
alv = con_xlv
cpd = con_cp
g = con_grav
rd = con_rd
rv = con_rv
rcpd = 1.0/con_cp
c2es = c1es*con_rd/con_rv
c5les = c3les*(tmelt-c4les)
c5ies = c3ies*(tmelt-c4ies)
r5alvcp = c5les*con_xlv*rcpd
r5alscp = c5ies*con_xls*rcpd
ralvdcp = con_xlv*rcpd
ralsdcp = con_xls*rcpd
ralfdcp = con_xlf*rcpd
vtmpc1 = con_rv/con_rd-1.0
zrg = 1.0/con_grav
errmsg = 'cu_ntiedtke_init OK'
errflg = 0
end subroutine cu_ntiedtke_init
!=================================================================================================================
!>\section arg_table_cu_ntiedtke_finalize
!!\html\include cu_ntiedtke_finalize.html
!!
subroutine cu_ntiedtke_finalize(errmsg,errflg)
!=================================================================================================================
!--- output arguments:
character(len=*),intent(out):: errmsg
integer,intent(out):: errflg
!-----------------------------------------------------------------------------------------------------------------
errmsg = 'cu_ntiedtke_finalize OK'
errflg = 0
end subroutine cu_ntiedtke_finalize
!=================================================================================================================
!>\section arg_table_cu_ntiedtke_run
!!\html\include cu_ntiedtke_run.html
!!
! level 1 subroutine 'cu_ntiedkte_run'
subroutine cu_ntiedtke_run(pu,pv,pt,pqv,pqc,pqi,pqvf,ptf,poz,pzz,pomg, &
& pap,paph,evap,hfx,zprecc,lndj,lq,km,km1,dt,dx,errmsg,errflg)
!=================================================================================================================
! this is the interface between the model and the mass flux convection module
! m.tiedtke e.c.m.w.f. 1989
! j.morcrette 1992
!--------------------------------------------
! modifications
! C. zhang & Yuqing Wang 2011-2017
!
! modified from IPRC IRAM - yuqing wang, university of hawaii (ICTP REGCM4.4).
!
! The current version is stable. There are many updates to the old Tiedtke scheme (cu_physics=6)
! update notes:
! the new Tiedtke scheme is similar to the Tiedtke scheme used in REGCM4 and ECMWF cy40r1.
! the major differences to the old Tiedtke (cu_physics=6) scheme are,
! (a) New trigger functions for deep and shallow convections (Jakob and Siebesma 2003;
! Bechtold et al. 2004, 2008, 2014).
! (b) Non-equilibrium situations are considered in the closure for deep convection
! (Bechtold et al. 2014).
! (c) New convection time scale for the deep convection closure (Bechtold et al. 2008).
! (d) New entrainment and detrainment rates for all convection types (Bechtold et al. 2008).
! (e) New formula for the conversion from cloud water/ice to rain/snow (Sundqvist 1978).
! (f) Different way to include cloud scale pressure gradients (Gregory et al. 1997;
! Wu and Yanai 1994)
!
! other reference: tiedtke (1989, mwr, 117, 1779-1800)
! IFS documentation - cy33r1, cy37r2, cy38r1, cy40r1
!
! Note for climate simulation of Tropical Cyclones
! This version of Tiedtke scheme was tested with YSU PBL scheme, RRTMG radation
! schemes, and WSM6 microphysics schemes, at horizontal resolution around 20 km
! Set: momtrans = 2.
! pgcoef = 0.7 to 1.0 is good depends on the basin
! nonequil = .false.
! Note for the diurnal simulation of precipitaton
! When nonequil = .true., the CAPE is relaxed toward to a value from PBL
! It can improve the diurnal precipitation over land.
!--- input arguments:
integer,intent(in):: lq,km,km1
integer,intent(in),dimension(:):: lndj
real(kind=kind_phys),intent(in):: dt
real(kind=kind_phys),intent(in),dimension(:):: dx
real(kind=kind_phys),intent(in),dimension(:):: evap,hfx
real(kind=kind_phys),intent(in),dimension(:,:):: pqvf,ptf
real(kind=kind_phys),intent(in),dimension(:,:):: poz,pomg,pap
real(kind=kind_phys),intent(in),dimension(:,:):: pzz,paph
!--- inout arguments:
real(kind=kind_phys),intent(inout),dimension(:):: zprecc
real(kind=kind_phys),intent(inout),dimension(:,:):: pu,pv,pt,pqv,pqc,pqi
!--- output arguments:
character(len=*),intent(out):: errmsg
integer,intent(out):: errflg
!--- local variables and arrays:
logical,dimension(lq):: locum
integer:: i,j,k
integer,dimension(lq):: icbot,ictop,ktype
real(kind=kind_phys):: ztmst,fliq,fice,ztc,zalf,tt
real(kind=kind_phys):: ztpp1,zew,zqs,zcor
real(kind=kind_phys):: dxref
real(kind=kind_phys),dimension(lq):: pqhfl,prsfc,pssfc,phhfl,zrain
real(kind=kind_phys),dimension(lq):: scale_fac,scale_fac2
real(kind=kind_phys),dimension(lq,km):: pum1,pvm1,ztt,ptte,pqte,pvom,pvol,pverv,pgeo
real(kind=kind_phys),dimension(lq,km):: zqq,pcte
real(kind=kind_phys),dimension(lq,km):: ztp1,zqp1,ztu,zqu,zlu,zlude,zmfu,zmfd,zqsat
real(kind=kind_phys),dimension(lq,km1):: pgeoh
!-----------------------------------------------------------------------------------------------------------------
!
ztmst=dt
!
! set scale-dependency factor when dx is < 15 km
!
dxref = 15000.
do j=1,lq
if (dx(j).lt.dxref) then
scale_fac(j) = (1.06133+log(dxref/dx(j)))**3
scale_fac2(j) = scale_fac(j)**0.5
else
scale_fac(j) = 1.+1.33e-5*dx(j)
scale_fac2(j) = 1.
end if
end do
!
! masv flux diagnostics.
!
do j=1,lq
zrain(j)=0.0
locum(j)=.false.
prsfc(j)=0.0
pssfc(j)=0.0
pqhfl(j)=evap(j)
phhfl(j)=hfx(j)
pgeoh(j,km1)=g*pzz(j,km1)
end do
!
! convert model variables for mflux scheme
!
do k=1,km
do j=1,lq
pcte(j,k)=0.0
pvom(j,k)=0.0
pvol(j,k)=0.0
ztp1(j,k)=pt(j,k)
zqp1(j,k)=pqv(j,k)/(1.0+pqv(j,k))
pum1(j,k)=pu(j,k)
pvm1(j,k)=pv(j,k)
pverv(j,k)=pomg(j,k)
pgeo(j,k)=g*poz(j,k)
pgeoh(j,k)=g*pzz(j,k)
tt=ztp1(j,k)
zew = foeewm(tt)
zqs = zew/pap(j,k)
zqs = min(0.5,zqs)
zcor = 1./(1.-vtmpc1*zqs)
zqsat(j,k)=zqs*zcor
pqte(j,k)=pqvf(j,k)
zqq(j,k) =pqte(j,k)
ptte(j,k)=ptf(j,k)
ztt(j,k) =ptte(j,k)
end do
end do
!
!-----------------------------------------------------------------------
!* 2. call 'cumastrn'(master-routine for cumulus parameterization)
!
call cumastrn &
& (lq, km, km1, km-1, ztp1, &
& zqp1, pum1, pvm1, pverv, zqsat, &
& pqhfl, ztmst, pap, paph, pgeo, &
& ptte, pqte, pvom, pvol, prsfc, &
& pssfc, locum, &
& ktype, icbot, ictop, ztu, zqu, &
& zlu, zlude, zmfu, zmfd, zrain, &
& pcte, phhfl, lndj, pgeoh, dx, &
& scale_fac, scale_fac2)
!
! to include the cloud water and cloud ice detrained from convection
!
do k=1,km
do j=1,lq
if(pcte(j,k).gt.0.) then
fliq=foealfa(ztp1(j,k))
fice=1.0-fliq
pqc(j,k)=pqc(j,k)+fliq*pcte(j,k)*ztmst
pqi(j,k)=pqi(j,k)+fice*pcte(j,k)*ztmst
endif
end do
end do
!
do k=1,km
do j=1,lq
pt(j,k)= ztp1(j,k)+(ptte(j,k)-ztt(j,k))*ztmst
zqp1(j,k)=zqp1(j,k)+(pqte(j,k)-zqq(j,k))*ztmst
pqv(j,k)=zqp1(j,k)/(1.0-zqp1(j,k))
end do
end do
do j=1,lq
zprecc(j)=amax1(0.0,(prsfc(j)+pssfc(j))*ztmst)
end do
if (lmfdudv) then
do k=1,km
do j=1,lq
pu(j,k)=pu(j,k)+pvom(j,k)*ztmst
pv(j,k)=pv(j,k)+pvol(j,k)*ztmst
end do
end do
endif
!
errmsg = 'cu_ntiedtke_run OK'
errflg = 0
!
return
end subroutine cu_ntiedtke_run
!#############################################################
!
! level 2 subroutines
!
!#############################################################
!***********************************************************
! subroutine cumastrn
!***********************************************************
subroutine cumastrn &
& (klon, klev, klevp1, klevm1, pten, &
& pqen, puen, pven, pverv, pqsen, &
& pqhfl, ztmst, pap, paph, pgeo, &
& ptte, pqte, pvom, pvol, prsfc, &
& pssfc, ldcum, &
& ktype, kcbot, kctop, ptu, pqu, &
& plu, plude, pmfu, pmfd, prain, &
& pcte, phhfl, lndj, zgeoh, dx, &
& scale_fac, scale_fac2)
implicit none
!
!***cumastrn* master routine for cumulus massflux-scheme
! m.tiedtke e.c.m.w.f. 1986/1987/1989
! modifications
! y.wang i.p.r.c 2001
! c.zhang 2012
!***purpose
! -------
! this routine computes the physical tendencies of the
! prognostic variables t,q,u and v due to convective processes.
! processes considered are: convective fluxes, formation of
! precipitation, evaporation of falling rain below cloud base,
! saturated cumulus downdrafts.
!***method
! ------
! parameterization is done using a massflux-scheme.
! (1) define constants and parameters
! (2) specify values (t,q,qs...) at half levels and
! initialize updraft- and downdraft-values in 'cuinin'
! (3) calculate cloud base in 'cutypen', calculate cloud types in cutypen,
! and specify cloud base massflux
! (4) do cloud ascent in 'cuascn' in absence of downdrafts
! (5) do downdraft calculations:
! (a) determine values at lfs in 'cudlfsn'
! (b) determine moist descent in 'cuddrafn'
! (c) recalculate cloud base massflux considering the
! effect of cu-downdrafts
! (6) do final adjusments to convective fluxes in 'cuflxn',
! do evaporation in subcloud layer
! (7) calculate increments of t and q in 'cudtdqn'
! (8) calculate increments of u and v in 'cududvn'
!***externals.
! ----------
! cuinin: initializes values at vertical grid used in cu-parametr.
! cutypen: cloud bypes, 1: deep cumulus 2: shallow cumulus
! cuascn: cloud ascent for entraining plume
! cudlfsn: determines values at lfs for downdrafts
! cuddrafn:does moist descent for cumulus downdrafts
! cuflxn: final adjustments to convective fluxes (also in pbl)
! cudqdtn: updates tendencies for t and q
! cududvn: updates tendencies for u and v
!***switches.
! --------
! lmfmid=.t. midlevel convection is switched on
! lmfdd=.t. cumulus downdrafts switched on
! lmfdudv=.t. cumulus friction switched on
!***
! model parameters (defined in subroutine cuparam)
! ------------------------------------------------
! entrdd entrainment rate for cumulus downdrafts
! cmfcmax maximum massflux value allowed for
! cmfcmin minimum massflux value (for safety)
! cmfdeps fractional massflux for downdrafts at lfs
! cprcon coefficient for conversion from cloud water to rain
!***reference.
! ----------
! paper on massflux scheme (tiedtke,1989)
!-----------------------------------------------------------------
!--- input arguments:
integer,intent(in):: klev,klon,klevp1,klevm1
integer,intent(in),dimension(klon):: lndj
real(kind=kind_phys),intent(in):: ztmst
real(kind=kind_phys),intent(in),dimension(klon):: dx
real(kind=kind_phys),intent(in),dimension(klon):: pqhfl,phhfl
real(kind=kind_phys),intent(in),dimension(klon):: scale_fac,scale_fac2
real(kind=kind_phys),intent(in),dimension(klon,klev):: pten,pqen,puen,pven,pverv
real(kind=kind_phys),intent(in),dimension(klon,klev):: pap,pgeo
real(kind=kind_phys),intent(in),dimension(klon,klevp1):: paph,zgeoh
!--- inout arguments:
integer,intent(inout),dimension(klon):: ktype,kcbot,kctop
logical,intent(inout),dimension(klon):: ldcum
real(kind=kind_phys),intent(inout),dimension(klon):: pqsen
real(kind=kind_phys),intent(inout),dimension(klon):: prsfc,pssfc,prain
real(kind=kind_phys),intent(inout),dimension(klon,klev):: pcte,ptte,pqte,pvom,pvol
real(kind=kind_phys),intent(inout),dimension(klon,klev):: ptu,pqu,plu,plude,pmfu,pmfd
!--- local variables and arrays:
logical:: llo1
logical,dimension(klon):: loddraf,llo2
integer:: jl,jk,ik
integer:: ikb,ikt,icum,itopm2
integer,dimension(klon):: kdpl,idtop,ictop0,ilwmin
integer,dimension(klon,klev):: ilab
real(kind=kind_phys):: zcons,zcons2,zqumqe,zdqmin,zdh,zmfmax
real(kind=kind_phys):: zalfaw,zalv,zqalv,zc5ldcp,zc4les,zhsat,zgam,zzz,zhhat
real(kind=kind_phys):: zpbmpt,zro,zdz,zdp,zeps,zfac,wspeed
real(kind=kind_phys):: zduten,zdvten,ztdis,pgf_u,pgf_v
real(kind=kind_phys):: zlon
real(kind=kind_phys):: ztau,zerate,zderate,zmfa
real(kind=kind_phys),dimension(klon):: zmfs
real(kind=kind_phys),dimension(klon):: zsfl,zcape,zcape1,zcape2,ztauc,ztaubl,zheat
real(kind=kind_phys),dimension(klon):: wup,zdqcv
real(kind=kind_phys),dimension(klon):: wbase,zmfuub
real(kind=kind_phys),dimension(klon):: upbl
real(kind=kind_phys),dimension(klon):: zhcbase,zmfub,zmfub1,zdhpbl
real(kind=kind_phys),dimension(klon):: zmfuvb,zsum12,zsum22
real(kind=kind_phys),dimension(klon):: zrfl
real(kind=kind_phys),dimension(klev):: pmean
real(kind=kind_phys),dimension(klon,klev):: pmfude_rate,pmfdde_rate
real(kind=kind_phys),dimension(klon,klev):: zdpmel
real(kind=kind_phys),dimension(klon,klev):: zmfuus,zmfdus,zuv2,ztenu,ztenv
real(kind=kind_phys),dimension(klon,klev):: ztenh,zqenh,zqsenh,ztd,zqd
real(kind=kind_phys),dimension(klon,klev):: zmfus,zmfds,zmfuq,zmfdq,zdmfup,zdmfdp,zmful
real(kind=kind_phys),dimension(klon,klev):: zuu,zvu,zud,zvd,zlglac
real(kind=kind_phys),dimension(klon,klevp1):: pmflxr,pmflxs
!-------------------------------------------
! 1. specify constants and parameters
!-------------------------------------------
zcons=1./(g*ztmst)
zcons2=3./(g*ztmst)
!--------------------------------------------------------------
!* 2. initialize values at vertical grid points in 'cuini'
!--------------------------------------------------------------
call cuinin &
& (klon, klev, klevp1, klevm1, pten, &
& pqen, pqsen, puen, pven, pverv, &
& pgeo, paph, zgeoh, ztenh, zqenh, &
& zqsenh, ilwmin, ptu, pqu, ztd, &
& zqd, zuu, zvu, zud, zvd, &
& pmfu, pmfd, zmfus, zmfds, zmfuq, &
& zmfdq, zdmfup, zdmfdp, zdpmel, plu, &
& plude, ilab)
!----------------------------------
!* 3.0 cloud base calculations
!----------------------------------
!* (a) determine cloud base values in 'cutypen',
! and the cumulus type 1 or 2
! -------------------------------------------
call cutypen &
& ( klon, klev, klevp1, klevm1, pqen, &
& ztenh, zqenh, zqsenh, zgeoh, paph, &
& phhfl, pqhfl, pgeo, pqsen, pap, &
& pten, lndj, ptu, pqu, ilab, &
& ldcum, kcbot, ictop0, ktype, wbase, &
& plu, kdpl)
!* (b) assign the first guess mass flux at cloud base
! ------------------------------------------
do jl=1,klon
zdhpbl(jl)=0.0
upbl(jl) = 0.0
idtop(jl)=0
end do
do jk=2,klev
do jl=1,klon
if(jk.ge.kcbot(jl) .and. ldcum(jl)) then
zdhpbl(jl)=zdhpbl(jl)+(alv*pqte(jl,jk)+cpd*ptte(jl,jk))&
& *(paph(jl,jk+1)-paph(jl,jk))
if(lndj(jl) .eq. 0) then
wspeed = sqrt(puen(jl,jk)**2 + pven(jl,jk)**2)
upbl(jl) = upbl(jl) + wspeed*(paph(jl,jk+1)-paph(jl,jk))
end if
end if
end do
end do
do jl=1,klon
if(ldcum(jl)) then
ikb=kcbot(jl)
zmfmax = (paph(jl,ikb)-paph(jl,ikb-1))*zcons2
if(ktype(jl) == 1) then
zmfub(jl)= 0.1*zmfmax
else if ( ktype(jl) == 2 ) then
zqumqe = pqu(jl,ikb) + plu(jl,ikb) - zqenh(jl,ikb)
zdqmin = max(0.01*zqenh(jl,ikb),1.e-10)
zdh = cpd*(ptu(jl,ikb)-ztenh(jl,ikb)) + alv*zqumqe
zdh = g*max(zdh,1.e5*zdqmin)
if ( zdhpbl(jl) > 0. ) then
zmfub(jl) = zdhpbl(jl)/zdh
zmfub(jl) = min(zmfub(jl),zmfmax)
else
zmfub(jl) = 0.1*zmfmax
ldcum(jl) = .false.
end if
end if
else
zmfub(jl) = 0.
end if
end do
!------------------------------------------------------
!* 4.0 determine cloud ascent for entraining plume
!------------------------------------------------------
!* (a) do ascent in 'cuasc'in absence of downdrafts
!----------------------------------------------------------
call cuascn &
& (klon, klev, klevp1, klevm1, ztenh, &
& zqenh, puen, pven, pten, pqen, &
& pqsen, pgeo, zgeoh, pap, paph, &
& pqte, pverv, ilwmin, ldcum, zhcbase, &
& ktype, ilab, ptu, pqu, plu, &
& zuu, zvu, pmfu, zmfub, &
& zmfus, zmfuq, zmful, plude, zdmfup, &
& kcbot, kctop, ictop0, icum, ztmst, &
& zqsenh, zlglac, lndj, wup, wbase, &
& kdpl, pmfude_rate)
!* (b) check cloud depth and change entrainment rate accordingly
! calculate precipitation rate (for downdraft calculation)
!------------------------------------------------------------------
do jl=1,klon
if ( ldcum(jl) ) then
ikb = kcbot(jl)
itopm2 = kctop(jl)
zpbmpt = paph(jl,ikb) - paph(jl,itopm2)
if ( ktype(jl) == 1 .and. zpbmpt < zdnoprc ) ktype(jl) = 2
if ( ktype(jl) == 2 .and. zpbmpt >= zdnoprc ) ktype(jl) = 1
ictop0(jl) = kctop(jl)
end if
zrfl(jl)=zdmfup(jl,1)
end do
do jk=2,klev
do jl=1,klon
zrfl(jl)=zrfl(jl)+zdmfup(jl,jk)
end do
end do
do jk = 1,klev
do jl = 1,klon
pmfd(jl,jk) = 0.
zmfds(jl,jk) = 0.
zmfdq(jl,jk) = 0.
zdmfdp(jl,jk) = 0.
zdpmel(jl,jk) = 0.
end do
end do
!-----------------------------------------
!* 6.0 cumulus downdraft calculations
!-----------------------------------------
if(lmfdd) then
!* (a) determine lfs in 'cudlfsn'
!--------------------------------------
call cudlfsn &
& (klon, klev,&
& kcbot, kctop, lndj, ldcum, &
& ztenh, zqenh, puen, pven, &
& pten, pqsen, pgeo, &
& zgeoh, paph, ptu, pqu, plu, &
& zuu, zvu, zmfub, zrfl, &
& ztd, zqd, zud, zvd, &
& pmfd, zmfds, zmfdq, zdmfdp, &
& idtop, loddraf)
!* (b) determine downdraft t,q and fluxes in 'cuddrafn'
!------------------------------------------------------------
call cuddrafn &
& (klon, klev, loddraf, &
& ztenh, zqenh, puen, pven, &
& pgeo, zgeoh, paph, zrfl, &
& ztd, zqd, zud, zvd, pmfu, &
& pmfd, zmfds, zmfdq, zdmfdp, pmfdde_rate)
!-----------------------------------------------------------
end if
!
!-----------------------------------------------------------------------
!* 6.0 closure and clean work
! ------
!-- 6.1 recalculate cloud base massflux from a cape closure
! for deep convection (ktype=1)
!
do jl=1,klon
if(ldcum(jl) .and. ktype(jl) .eq. 1) then
ikb = kcbot(jl)
ikt = kctop(jl)
zheat(jl)=0.0
zcape(jl)=0.0
zcape1(jl)=0.0
zcape2(jl)=0.0
zmfub1(jl)=zmfub(jl)
ztauc(jl) = (zgeoh(jl,ikt)-zgeoh(jl,ikb)) / &
((2.+ min(15.0,wup(jl)))*g)
if(lndj(jl) .eq. 0) then
upbl(jl) = 2.+ upbl(jl)/(paph(jl,klev+1)-paph(jl,ikb))
ztaubl(jl) = (zgeoh(jl,ikb)-zgeoh(jl,klev+1))/(g*upbl(jl))
ztaubl(jl) = min(300., ztaubl(jl))
else
ztaubl(jl) = ztauc(jl)
end if
end if
end do
!
do jk = 1 , klev
do jl = 1 , klon
llo1 = ldcum(jl) .and. ktype(jl) .eq. 1
if ( llo1 .and. jk <= kcbot(jl) .and. jk > kctop(jl) ) then
ikb = kcbot(jl)
zdz = pgeo(jl,jk-1)-pgeo(jl,jk)
zdp = pap(jl,jk)-pap(jl,jk-1)
zheat(jl) = zheat(jl) + ((pten(jl,jk-1)-pten(jl,jk)+zdz*rcpd) / &
ztenh(jl,jk)+vtmpc1*(pqen(jl,jk-1)-pqen(jl,jk))) * &
(g*(pmfu(jl,jk)+pmfd(jl,jk)))
zcape1(jl) = zcape1(jl) + ((ptu(jl,jk)-ztenh(jl,jk))/ztenh(jl,jk) + &
vtmpc1*(pqu(jl,jk)-zqenh(jl,jk))-plu(jl,jk))*zdp
end if
if ( llo1 .and. jk >= kcbot(jl) ) then
if((paph(jl,klev+1)-paph(jl,kdpl(jl)))<50.e2) then
zdp = paph(jl,jk+1)-paph(jl,jk)
zcape2(jl) = zcape2(jl) + ztaubl(jl)* &
((1.+vtmpc1*pqen(jl,jk))*ptte(jl,jk)+vtmpc1*pten(jl,jk)*pqte(jl,jk))*zdp
end if
end if
end do
end do
do jl=1,klon
if(ldcum(jl).and.ktype(jl).eq.1) then
ikb = kcbot(jl)
ikt = kctop(jl)
ztauc(jl) = max(ztmst,ztauc(jl))
ztauc(jl) = max(360.,ztauc(jl))
ztauc(jl) = min(10800.,ztauc(jl))
ztau = ztauc(jl) * scale_fac(jl)
if(nonequil) then
zcape2(jl)= max(0.,zcape2(jl))
zcape(jl) = max(0.,min(zcape1(jl)-zcape2(jl),5000.))
else
zcape(jl) = max(0.,min(zcape1(jl),5000.))
end if
zheat(jl) = max(1.e-4,zheat(jl))
zmfub1(jl) = (zcape(jl)*zmfub(jl))/(zheat(jl)*ztau)
zmfub1(jl) = max(zmfub1(jl),0.001)
zmfmax=(paph(jl,ikb)-paph(jl,ikb-1))*zcons2
zmfub1(jl)=min(zmfub1(jl),zmfmax)
end if
end do
!
!* 6.2 recalculate convective fluxes due to effect of
! downdrafts on boundary layer moist static energy budget (ktype=2)
!--------------------------------------------------------
do jl=1,klon
if(ldcum(jl) .and. ktype(jl) .eq. 2) then
ikb=kcbot(jl)
if(pmfd(jl,ikb).lt.0.0 .and. loddraf(jl)) then
zeps=-pmfd(jl,ikb)/max(zmfub(jl),cmfcmin)
else
zeps=0.
endif
zqumqe=pqu(jl,ikb)+plu(jl,ikb)- &
& zeps*zqd(jl,ikb)-(1.-zeps)*zqenh(jl,ikb)
zdqmin=max(0.01*zqenh(jl,ikb),cmfcmin)
zmfmax=(paph(jl,ikb)-paph(jl,ikb-1))*zcons2
! using moist static engergy closure instead of moisture closure
zdh=cpd*(ptu(jl,ikb)-zeps*ztd(jl,ikb)- &
& (1.-zeps)*ztenh(jl,ikb))+alv*zqumqe
zdh=g*max(zdh,1.e5*zdqmin)
if(zdhpbl(jl).gt.0.)then
zmfub1(jl)=zdhpbl(jl)/zdh
else
zmfub1(jl) = zmfub(jl)
end if
zmfub1(jl) = zmfub1(jl)/scale_fac2(jl)
zmfub1(jl) = min(zmfub1(jl),zmfmax)
end if
!* 6.3 mid-level convection - nothing special
!---------------------------------------------------------
if(ldcum(jl) .and. ktype(jl) .eq. 3 ) then
zmfub1(jl) = zmfub(jl)
end if
end do
!* 6.4 scaling the downdraft mass flux
!---------------------------------------------------------
do jk=1,klev
do jl=1,klon
if( ldcum(jl) ) then
zfac=zmfub1(jl)/max(zmfub(jl),cmfcmin)
pmfd(jl,jk)=pmfd(jl,jk)*zfac
zmfds(jl,jk)=zmfds(jl,jk)*zfac
zmfdq(jl,jk)=zmfdq(jl,jk)*zfac
zdmfdp(jl,jk)=zdmfdp(jl,jk)*zfac
pmfdde_rate(jl,jk) = pmfdde_rate(jl,jk)*zfac
end if
end do
end do
!* 6.5 scaling the updraft mass flux
! --------------------------------------------------------
do jl = 1,klon
if ( ldcum(jl) ) zmfs(jl) = zmfub1(jl)/max(cmfcmin,zmfub(jl))
end do
do jk = 2 , klev
do jl = 1,klon
if ( ldcum(jl) .and. jk >= kctop(jl)-1 ) then
ikb = kcbot(jl)
if ( jk>ikb ) then
zdz = ((paph(jl,klev+1)-paph(jl,jk))/(paph(jl,klev+1)-paph(jl,ikb)))
pmfu(jl,jk) = pmfu(jl,ikb)*zdz
end if
zmfmax = (paph(jl,jk)-paph(jl,jk-1))*zcons2
if ( pmfu(jl,jk)*zmfs(jl) > zmfmax ) then
zmfs(jl) = min(zmfs(jl),zmfmax/pmfu(jl,jk))
end if
end if
end do
end do
do jk = 2 , klev
do jl = 1,klon
if ( ldcum(jl) .and. jk <= kcbot(jl) .and. jk >= kctop(jl)-1 ) then
pmfu(jl,jk) = pmfu(jl,jk)*zmfs(jl)
zmfus(jl,jk) = zmfus(jl,jk)*zmfs(jl)
zmfuq(jl,jk) = zmfuq(jl,jk)*zmfs(jl)
zmful(jl,jk) = zmful(jl,jk)*zmfs(jl)
zdmfup(jl,jk) = zdmfup(jl,jk)*zmfs(jl)
plude(jl,jk) = plude(jl,jk)*zmfs(jl)
pmfude_rate(jl,jk) = pmfude_rate(jl,jk)*zmfs(jl)
end if
end do
end do
!* 6.6 if ktype = 2, kcbot=kctop is not allowed
! ---------------------------------------------------
do jl = 1,klon
if ( ktype(jl) == 2 .and. &
kcbot(jl) == kctop(jl) .and. kcbot(jl) >= klev-1 ) then
ldcum(jl) = .false.
ktype(jl) = 0
end if
end do
if ( .not. lmfscv .or. .not. lmfpen ) then
do jl = 1,klon
llo2(jl) = .false.
if ( (.not. lmfscv .and. ktype(jl) == 2) .or. &
(.not. lmfpen .and. ktype(jl) == 1) ) then
llo2(jl) = .true.
ldcum(jl) = .false.
end if
end do
end if
!* 6.7 set downdraft mass fluxes to zero above cloud top
!----------------------------------------------------
do jl = 1,klon
if ( loddraf(jl) .and. idtop(jl) <= kctop(jl) ) then
idtop(jl) = kctop(jl) + 1
end if
end do
do jk = 2 , klev
do jl = 1,klon
if ( loddraf(jl) ) then
if ( jk < idtop(jl) ) then
pmfd(jl,jk) = 0.
zmfds(jl,jk) = 0.
zmfdq(jl,jk) = 0.
pmfdde_rate(jl,jk) = 0.
zdmfdp(jl,jk) = 0.
else if ( jk == idtop(jl) ) then
pmfdde_rate(jl,jk) = 0.
end if
end if
end do
end do
!----------------------------------------------------------
!* 7.0 determine final convective fluxes in 'cuflx'
!----------------------------------------------------------
call cuflxn &
& ( klon, klev, ztmst &
& , pten, pqen, pqsen, ztenh, zqenh &
& , paph, pap, zgeoh, lndj, ldcum &
& , kcbot, kctop, idtop, itopm2 &
& , ktype, loddraf &
& , pmfu, pmfd, zmfus, zmfds &
& , zmfuq, zmfdq, zmful, plude &
& , zdmfup, zdmfdp, zdpmel, zlglac &
& , prain, pmfdde_rate, pmflxr, pmflxs )
! some adjustments needed
do jl=1,klon
zmfs(jl) = 1.
zmfuub(jl)=0.
end do
do jk = 2 , klev
do jl = 1,klon
if ( loddraf(jl) .and. jk >= idtop(jl)-1 ) then
zmfmax = pmfu(jl,jk)*0.98
if ( pmfd(jl,jk)+zmfmax+1.e-15 < 0. ) then
zmfs(jl) = min(zmfs(jl),-zmfmax/pmfd(jl,jk))
end if
end if
end do
end do
do jk = 2 , klev
do jl = 1 , klon
if ( zmfs(jl) < 1. .and. jk >= idtop(jl)-1 ) then
pmfd(jl,jk) = pmfd(jl,jk)*zmfs(jl)
zmfds(jl,jk) = zmfds(jl,jk)*zmfs(jl)
zmfdq(jl,jk) = zmfdq(jl,jk)*zmfs(jl)
pmfdde_rate(jl,jk) = pmfdde_rate(jl,jk)*zmfs(jl)
zmfuub(jl) = zmfuub(jl) - (1.-zmfs(jl))*zdmfdp(jl,jk)
pmflxr(jl,jk+1) = pmflxr(jl,jk+1) + zmfuub(jl)
zdmfdp(jl,jk) = zdmfdp(jl,jk)*zmfs(jl)
end if
end do
end do
do jk = 2 , klev - 1
do jl = 1, klon
if ( loddraf(jl) .and. jk >= idtop(jl)-1 ) then
zerate = -pmfd(jl,jk) + pmfd(jl,jk-1) + pmfdde_rate(jl,jk)
if ( zerate < 0. ) then
pmfdde_rate(jl,jk) = pmfdde_rate(jl,jk) - zerate
end if
end if
if ( ldcum(jl) .and. jk >= kctop(jl)-1 ) then
zerate = pmfu(jl,jk) - pmfu(jl,jk+1) + pmfude_rate(jl,jk)
if ( zerate < 0. ) then
pmfude_rate(jl,jk) = pmfude_rate(jl,jk) - zerate
end if
zdmfup(jl,jk) = pmflxr(jl,jk+1) + pmflxs(jl,jk+1) - &
pmflxr(jl,jk) - pmflxs(jl,jk)
zdmfdp(jl,jk) = 0.
end if
end do
end do
! avoid negative humidities at ddraught top
do jl = 1,klon
if ( loddraf(jl) ) then
jk = idtop(jl)
ik = min(jk+1,klev)
if ( zmfdq(jl,jk) < 0.3*zmfdq(jl,ik) ) then
zmfdq(jl,jk) = 0.3*zmfdq(jl,ik)
end if
end if
end do
! avoid negative humidities near cloud top because gradient of precip flux
! and detrainment / liquid water flux are too large
do jk = 2 , klev
do jl = 1, klon
if ( ldcum(jl) .and. jk >= kctop(jl)-1 .and. jk < kcbot(jl) ) then
zdz = ztmst*g/(paph(jl,jk+1)-paph(jl,jk))
zmfa = zmfuq(jl,jk+1) + zmfdq(jl,jk+1) - &
zmfuq(jl,jk) - zmfdq(jl,jk) + &
zmful(jl,jk+1) - zmful(jl,jk) + zdmfup(jl,jk)
zmfa = (zmfa-plude(jl,jk))*zdz
if ( pqen(jl,jk)+zmfa < 0. ) then
plude(jl,jk) = plude(jl,jk) + 2.*(pqen(jl,jk)+zmfa)/zdz
end if
if ( plude(jl,jk) < 0. ) plude(jl,jk) = 0.
end if
if ( .not. ldcum(jl) ) pmfude_rate(jl,jk) = 0.
if ( abs(pmfd(jl,jk-1)) < 1.0e-20 ) pmfdde_rate(jl,jk) = 0.
end do
end do
do jl=1,klon
prsfc(jl) = pmflxr(jl,klev+1)
pssfc(jl) = pmflxs(jl,klev+1)
end do
!----------------------------------------------------------------
!* 8.0 update tendencies for t and q in subroutine cudtdq
!----------------------------------------------------------------
call cudtdqn(klon,klev,itopm2,kctop,idtop,ldcum,loddraf, &
ztmst,paph,zgeoh,pgeo,pten,ztenh,pqen,zqenh,pqsen, &
zlglac,plude,pmfu,pmfd,zmfus,zmfds,zmfuq,zmfdq,zmful, &
zdmfup,zdmfdp,zdpmel,ptte,pqte,pcte)
!----------------------------------------------------------------
!* 9.0 update tendencies for u and u in subroutine cududv
!----------------------------------------------------------------
if(lmfdudv) then
do jk = klev-1 , 2 , -1
ik = jk + 1
do jl = 1,klon
if ( ldcum(jl) ) then
if ( jk == kcbot(jl) .and. ktype(jl) < 3 ) then
ikb = kdpl(jl)
zuu(jl,jk) = puen(jl,ikb-1)
zvu(jl,jk) = pven(jl,ikb-1)
else if ( jk == kcbot(jl) .and. ktype(jl) == 3 ) then
zuu(jl,jk) = puen(jl,jk-1)
zvu(jl,jk) = pven(jl,jk-1)
end if
if ( jk < kcbot(jl) .and. jk >= kctop(jl) ) then
if(momtrans .eq. 1)then
zfac = 0.
if ( ktype(jl) == 1 .or. ktype(jl) == 3 ) zfac = 2.
if ( ktype(jl) == 1 .and. jk <= kctop(jl)+2 ) zfac = 3.
zerate = pmfu(jl,jk) - pmfu(jl,ik) + &
(1.+zfac)*pmfude_rate(jl,jk)
zderate = (1.+zfac)*pmfude_rate(jl,jk)
zmfa = 1./max(cmfcmin,pmfu(jl,jk))
zuu(jl,jk) = (zuu(jl,ik)*pmfu(jl,ik) + &
zerate*puen(jl,jk)-zderate*zuu(jl,ik))*zmfa
zvu(jl,jk) = (zvu(jl,ik)*pmfu(jl,ik) + &
zerate*pven(jl,jk)-zderate*zvu(jl,ik))*zmfa
else
pgf_u = -pgcoef*0.5*(pmfu(jl,ik)*(puen(jl,ik)-puen(jl,jk))+&
pmfu(jl,jk)*(puen(jl,jk)-puen(jl,jk-1)))
pgf_v = -pgcoef*0.5*(pmfu(jl,ik)*(pven(jl,ik)-pven(jl,jk))+&
pmfu(jl,jk)*(pven(jl,jk)-pven(jl,jk-1)))
zerate = pmfu(jl,jk) - pmfu(jl,ik) + pmfude_rate(jl,jk)
zderate = pmfude_rate(jl,jk)
zmfa = 1./max(cmfcmin,pmfu(jl,jk))
zuu(jl,jk) = (zuu(jl,ik)*pmfu(jl,ik) + &
zerate*puen(jl,jk)-zderate*zuu(jl,ik)+pgf_u)*zmfa
zvu(jl,jk) = (zvu(jl,ik)*pmfu(jl,ik) + &
zerate*pven(jl,jk)-zderate*zvu(jl,ik)+pgf_v)*zmfa
end if
end if
end if
end do
end do
if(lmfdd) then
do jk = 3 , klev
ik = jk - 1
do jl = 1,klon
if ( ldcum(jl) ) then
if ( jk == idtop(jl) ) then
zud(jl,jk) = 0.5*(zuu(jl,jk)+puen(jl,ik))
zvd(jl,jk) = 0.5*(zvu(jl,jk)+pven(jl,ik))
else if ( jk > idtop(jl) ) then
zerate = -pmfd(jl,jk) + pmfd(jl,ik) + pmfdde_rate(jl,jk)
zmfa = 1./min(-cmfcmin,pmfd(jl,jk))
zud(jl,jk) = (zud(jl,ik)*pmfd(jl,ik) - &
zerate*puen(jl,ik)+pmfdde_rate(jl,jk)*zud(jl,ik))*zmfa
zvd(jl,jk) = (zvd(jl,ik)*pmfd(jl,ik) - &
zerate*pven(jl,ik)+pmfdde_rate(jl,jk)*zvd(jl,ik))*zmfa
end if
end if
end do
end do
end if
! --------------------------------------------------
! rescale massfluxes for stability in Momentum
!------------------------------------------------------------------------
zmfs(:) = 1.
do jk = 2 , klev
do jl = 1, klon
if ( ldcum(jl) .and. jk >= kctop(jl)-1 ) then
zmfmax = (paph(jl,jk)-paph(jl,jk-1))*zcons