cfpp$ noconcur r
subroutine moninq(ix,im,km,ntrac,ntcw,dv,du,tau,rtg,
& uo,vo,t1,q1,swh,hlw,xmu,
& psk,rbsoil,fm,fh,tsea,qss,heat,evap,stress,spd1,kpbl,
& prsi,del,prsl,prslk,phii,phil,deltim,dspheat,
& dusfc,dvsfc,dtsfc,dqsfc,hpbl,hgamt,hgamq,dkt,
& kinver,xkzm_m,xkzm_h,xkzm_s,lprnt,ipr)
!
use machine , only : kind_phys
use funcphys , only : fpvs
use physcons, grav => con_g, rd => con_rd, cp => con_cp
&, hvap => con_hvap, fv => con_fvirt
implicit none
!
! arguments
!
logical lprnt
integer ipr
integer ix, im, km, ntrac, ntcw, kpbl(im), kpblx(im), kinver(im)
!
real(kind=kind_phys) deltim, xkzm_m, xkzm_h, xkzm_s
real(kind=kind_phys) dv(im,km), du(im,km),
& tau(im,km), rtg(im,km,ntrac),
& uo(ix,km), vo(ix,km),
& t1(ix,km), q1(ix,km,ntrac),
& swh(ix,km), hlw(ix,km),
& xmu(im),
& psk(im), rbsoil(im),
! & cd(im), ch(im),
& fm(im), fh(im),
& tsea(im), qss(im),
& spd1(im),
! & dphi(im), spd1(im),
& prsi(ix,km+1), del(ix,km),
& prsl(ix,km), prslk(ix,km),
& phii(ix,km+1), phil(ix,km),
& dusfc(im),
& dvsfc(im), dtsfc(im),
& dqsfc(im), hpbl(im), hpblx(im),
& hgamt(im), hgamq(im)
! &, hgamu(im), hgamv(im), hgams(im)
!
logical dspheat
! flag for tke dissipative heating
!
! locals
!
integer i,iprt,is,iun,k,kk,km1,kmpbl,latd,lond
integer lcld(im),icld(im),kcld(im),krad(im)
integer kx1(im)
! integer kemx(im), kx1(im)
!
! real(kind=kind_phys) betaq(im), betat(im), betaw(im),
real(kind=kind_phys) evap(im), heat(im), phih(im),
& phim(im), rbdn(im), rbup(im),
& stress(im),beta(im), sflux(im),
& ustar(im), wscale(im), thermal(im),
& wstar3(im)
!
real(kind=kind_phys) thvx(im,km), thlvx(im,km),
& qlx(im,km), thetae(im,km),
& qtx(im,km), bf(im,km-1), diss(im,km),
& u1(im,km), v1(im,km), radx(im,km-1),
& govrth(im), hrad(im), cteit(im),
! & hradm(im), radmin(im), vrad(im),
& radmin(im), vrad(im),
& zd(im), zdd(im), thlvx1(im)
!
real(kind=kind_phys) rdzt(im,km-1),dktx(im,km-1),dkux(im,km-1),
& zi(im,km+1), zl(im,km), xkzo(im,km-1),
& dku(im,km-1), dkt(im,km-1), xkzmo(im,km-1),
& cku(im,km-1), ckt(im,km-1),
& ti(im,km-1), shr2(im,km-1),
& al(im,km-1), ad(im,km),
& au(im,km-1), a1(im,km),
& a2(im,km*ntrac), theta(im,km)
!
! real(kind=kind_phys) prinv(im), hpbl01(im), rent(im)
real(kind=kind_phys) prinv(im), rent(im)
!
logical pblflg(im), sfcflg(im), scuflg(im), flg(im)
!
real(kind=kind_phys) aphi16, aphi5, bvf2, wfac,
& cfac, conq, cont, conw,
& dk, dkmax, dkmin,
& dq1, dsdz2, dsdzq, dsdzt,
& dsdzu, dsdzv, sfac,
& dsig, dt, dthe1, dtodsd,
& dtodsu, dw2, dw2min, g,
& gamcrq, gamcrt, gocp, gor, gravi,
& hol, hol1, pfac, prmax, prmin,
& prnum, qmin, tdzmin, qtend, rbcr,
& rbint, rdt, rdz, qlmin,
! & rbint, rdt, rdz, rdzt1,
& ri, rimin, rl2, rlam, rlamun,
& rone, rzero, sfcfrac,
& spdk2, sri,
& tem, ttend, tvd,
& tvu, utend, vk, vk2,
& vtend, zfac, vpert, cpert,
& rentf1, rentf2, radfac,
& zfmin, zk, tem1, tem2,
& xkzm, xkzmu, xkzminv,
& ptem, ptem1, ptem2, tx1(im), tx2(im)
!
real(kind=kind_phys) zstblmax,h1, h2, qlcr, actei,
& cldtime, u01, v01, delu, delv
cc
parameter(gravi=1.0/grav)
parameter(g=grav)
parameter(gor=g/rd,gocp=g/cp)
parameter(cont=cp/g,conq=hvap/g,conw=1.0/g) ! for del in pa
! parameter(cont=1000.*cp/g,conq=1000.*hvap/g,conw=1000./g) ! for del in kpa
parameter(rlam=30.0,vk=0.4,vk2=vk*vk)
parameter(prmin=0.25,prmax=4.)
parameter(dw2min=0.0001,dkmin=0.0,dkmax=1000.,rimin=-100.)
parameter(rbcr=0.25,wfac=7.0,cfac=6.5,pfac=2.0,sfcfrac=0.1)
! parameter(qmin=1.e-8,xkzm=1.0,zfmin=1.e-8,aphi5=5.,aphi16=16.)
parameter(qmin=1.e-8, zfmin=1.e-8,aphi5=5.,aphi16=16.)
parameter(tdzmin=1.e-3,qlmin=1.e-12,cpert=0.25,sfac=5.4)
parameter(h1=0.33333333,h2=0.66666667)
parameter(cldtime=500.,xkzminv=0.3)
! parameter(cldtime=500.,xkzmu=3.0,xkzminv=0.3)
! parameter(gamcrt=3.,gamcrq=2.e-3,rlamun=150.0)
parameter(gamcrt=3.,gamcrq=0.,rlamun=150.0)
parameter(rentf1=0.2,rentf2=1.0,radfac=0.85)
parameter(iun=84)
!
! parameter (zstblmax = 2500., qlcr=1.0e-5)
! parameter (zstblmax = 2500., qlcr=3.0e-5)
! parameter (zstblmax = 2500., qlcr=3.5e-5)
! parameter (zstblmax = 2500., qlcr=1.0e-4)
parameter (zstblmax = 2500., qlcr=3.5e-5)
! parameter (actei = 0.23)
parameter (actei = 0.7)
c
c-----------------------------------------------------------------------
c
601 format(1x,' moninp lat lon step hour ',3i6,f6.1)
602 format(1x,' k',' z',' t',' th',
1 ' tvh',' q',' u',' v',
2 ' sp')
603 format(1x,i5,8f9.1)
604 format(1x,' sfc',9x,f9.1,18x,f9.1)
605 format(1x,' k zl spd2 thekv the1v'
1 ,' thermal rbup')
606 format(1x,i5,6f8.2)
607 format(1x,' kpbl hpbl fm fh hgamt',
1 ' hgamq ws ustar cd ch')
608 format(1x,i5,9f8.2)
609 format(1x,' k pr dkt dku ',i5,3f8.2)
610 format(1x,' k pr dkt dku ',i5,3f8.2,' l2 ri t2',
1 ' sr2 ',2f8.2,2e10.2)
! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
! compute preliminary variables
!
if (ix .lt. im) stop
!
! iprt = 0
! if(iprt.eq.1) then
!cc latd = 0
! lond = 0
! else
!cc latd = 0
! lond = 0
! endif
!
dt = 2. * deltim
rdt = 1. / dt
km1 = km - 1
kmpbl = km / 2
!
do k=1,km
do i=1,im
zi(i,k) = phii(i,k) * gravi
zl(i,k) = phil(i,k) * gravi
u1(i,k) = uo(i,k)
v1(i,k) = vo(i,k)
enddo
enddo
do i=1,im
zi(i,km+1) = phii(i,km+1) * gravi
enddo
!
do k = 1,km1
do i=1,im
rdzt(i,k) = 1.0 / (zl(i,k+1) - zl(i,k))
enddo
enddo
!
do i=1,im
kx1(i) = 1
tx1(i) = 1.0 / prsi(i,1)
tx2(i) = tx1(i)
enddo
do k = 1,km1
do i=1,im
xkzo(i,k) = 0.0
xkzmo(i,k) = 0.0
if (k < kinver(i)) then
! vertical background diffusivity
ptem = prsi(i,k+1) * tx1(i)
tem1 = 1.0 - ptem
tem1 = tem1 * tem1 * 10.0
xkzo(i,k) = xkzm_h * min(1.0, exp(-tem1))
! vertical background diffusivity for momentum
if (ptem >= xkzm_s) then
xkzmo(i,k) = xkzm_m
kx1(i) = k + 1
else
if (k == kx1(i) .and. k > 1) tx2(i) = 1.0 / prsi(i,k)
tem1 = 1.0 - prsi(i,k+1) * tx2(i)
tem1 = tem1 * tem1 * 5.0
xkzmo(i,k) = xkzm_m * min(1.0, exp(-tem1))
endif
endif
enddo
enddo
! if (lprnt) then
! print *,' xkzo=',(xkzo(ipr,k),k=1,km1)
! print *,' xkzmo=',(xkzmo(ipr,k),k=1,km1)
! endif
!
! diffusivity in the inversion layer is set to be xkzminv (m^2/s)
!
do k = 1,kmpbl
do i=1,im
! if(zi(i,k+1).gt.200..and.zi(i,k+1).lt.zstblmax) then
if(zi(i,k+1).gt.250.) then
tem1 = (t1(i,k+1)-t1(i,k)) * rdzt(i,k)
if(tem1 .gt. 1.e-5) then
xkzo(i,k) = min(xkzo(i,k),xkzminv)
endif
endif
enddo
enddo
!
do i = 1,im
dusfc(i) = 0.
dvsfc(i) = 0.
dtsfc(i) = 0.
dqsfc(i) = 0.
hgamt(i) = 0.
hgamq(i) = 0.
! hgamu(i) = 0.
! hgamv(i) = 0.
! hgams(i) = 0.
wscale(i)= 0.
kpbl(i) = 1
kpblx(i) = 1
hpbl(i) = zi(i,1)
hpblx(i) = zi(i,1)
pblflg(i)= .true.
sfcflg(i)= .true.
if(rbsoil(i).gt.0.0) sfcflg(i) = .false.
scuflg(i)= .true.
if(scuflg(i)) then
radmin(i)= 0.
cteit(i) = 0.
rent(i) = rentf1
hrad(i) = zi(i,1)
! hradm(i) = zi(i,1)
krad(i) = 1
icld(i) = 0
lcld(i) = km1
kcld(i) = km1
zd(i) = 0.
endif
enddo
!
do k = 1,km
do i = 1,im
theta(i,k) = t1(i,k) * psk(i) / prslk(i,k)
qlx(i,k) = max(q1(i,k,ntcw),qlmin)
qtx(i,k) = max(q1(i,k,1),qmin)+qlx(i,k)
ptem = qlx(i,k)
ptem1 = hvap*max(q1(i,k,1),qmin)/(cp*t1(i,k))
thetae(i,k)= theta(i,k)*(1.+ptem1)
thvx(i,k) = theta(i,k)*(1.+fv*max(q1(i,k,1),qmin)-ptem)
ptem2 = theta(i,k)-(hvap/cp)*ptem
thlvx(i,k) = ptem2*(1.+fv*qtx(i,k))
enddo
enddo
do k = 1,km1
do i = 1,im
dku(i,k) = 0.
dkt(i,k) = 0.
dktx(i,k) = 0.
dkux(i,k) = 0.
cku(i,k) = 0.
ckt(i,k) = 0.
tem = zi(i,k+1)-zi(i,k)
radx(i,k) = tem*(swh(i,k)*xmu(i)+hlw(i,k))
enddo
enddo
!
do i=1,im
flg(i) = scuflg(i)
enddo
do k = 1, km1
do i=1,im
if(flg(i).and.zl(i,k).ge.zstblmax) then
lcld(i)=k
flg(i)=.false.
endif
enddo
enddo
!
! compute virtual potential temp gradient (bf) and winshear square
!
do k = 1, km1
do i = 1, im
rdz = rdzt(i,k)
bf(i,k) = (thvx(i,k+1)-thvx(i,k))*rdz
ti(i,k) = 2./(t1(i,k)+t1(i,k+1))
dw2 = (u1(i,k)-u1(i,k+1))**2
& +(v1(i,k)-v1(i,k+1))**2
shr2(i,k) = max(dw2,dw2min)*rdz*rdz
enddo
enddo
!
do i = 1,im
govrth(i) = g/theta(i,1)
enddo
!
do i=1,im
beta(i) = dt / (zi(i,2)-zi(i,1))
enddo
!
do i=1,im
ustar(i) = sqrt(stress(i))
thermal(i) = thvx(i,1)
enddo
!
! compute the first guess pbl height
!
do i=1,im
flg(i) = .false.
rbup(i) = rbsoil(i)
enddo
do k = 2, kmpbl
do i = 1, im
if(.not.flg(i)) then
rbdn(i) = rbup(i)
spdk2 = max((u1(i,k)**2+v1(i,k)**2),1.)
rbup(i) = (thvx(i,k)-thermal(i))*
& (g*zl(i,k)/thvx(i,1))/spdk2
kpbl(i) = k
flg(i) = rbup(i).gt.rbcr
endif
enddo
enddo
do i = 1,im
k = kpbl(i)
if(rbdn(i).ge.rbcr) then
rbint = 0.
elseif(rbup(i).le.rbcr) then
rbint = 1.
else
rbint = (rbcr-rbdn(i))/(rbup(i)-rbdn(i))
endif
hpbl(i) = zl(i,k-1) + rbint*(zl(i,k)-zl(i,k-1))
if(hpbl(i).lt.zi(i,kpbl(i))) kpbl(i) = kpbl(i) - 1
hpblx(i) = hpbl(i)
kpblx(i) = kpbl(i)
enddo
!
! compute similarity parameters
!
do i=1,im
sflux(i) = heat(i) + evap(i)*fv*theta(i,1)
if(sfcflg(i).and.sflux(i).gt.0.) then
hol = max(rbsoil(i)*fm(i)*fm(i)/fh(i),rimin)
hol = min(hol,-zfmin)
!
hol1 = hol*hpbl(i)/zl(i,1)*sfcfrac
! phim(i) = (1.-aphi16*hol1)**(-1./4.)
! phih(i) = (1.-aphi16*hol1)**(-1./2.)
tem = 1.0 / (1. - aphi16*hol1)
phih(i) = sqrt(tem)
phim(i) = sqrt(phih(i))
wstar3(i) = govrth(i)*sflux(i)*hpbl(i)
tem1 = ustar(i)**3.
wscale(i) = (tem1+wfac*vk*wstar3(i)*sfcfrac)**h1
! wscale(i) = ustar(i)/phim(i)
! wscale(i) = min(wscale(i),ustar(i)*aphi16)
wscale(i) = max(wscale(i),ustar(i)/aphi5)
else
pblflg(i)=.false.
endif
enddo
!
! compute counter-gradient mixing term for heat and moisture
!
do i = 1,im
if(pblflg(i)) then
hgamt(i) = min(cfac*heat(i)/wscale(i),gamcrt)
hgamq(i) = min(cfac*evap(i)/wscale(i),gamcrq)
vpert = hgamt(i) + hgamq(i)*fv*theta(i,1)
vpert = min(vpert,gamcrt)
thermal(i)= thermal(i)+max(vpert,0.)
hgamt(i) = max(hgamt(i),0.0)
hgamq(i) = max(hgamq(i),0.0)
endif
enddo
!
! compute large-scale mixing term for momentum
!
! do i = 1,im
! flg(i) = pblflg(i)
! kemx(i)= 1
! hpbl01(i)= sfcfrac*hpbl(i)
! enddo
! do k = 1, kmpbl
! do i = 1, im
! if(flg(i).and.zl(i,k).gt.hpbl01(i)) then
! kemx(i) = k
! flg(i) = .false.
! endif
! enddo
! enddo
! do i = 1, im
! if(pblflg(i)) then
! kk = kpbl(i)
! if(kemx(i).le.1) then
! ptem = u1(i,1)/zl(i,1)
! ptem1 = v1(i,1)/zl(i,1)
! u01 = ptem*hpbl01(i)
! v01 = ptem1*hpbl01(i)
! else
! tem = zl(i,kemx(i))-zl(i,kemx(i)-1)
! ptem = (u1(i,kemx(i))-u1(i,kemx(i)-1))/tem
! ptem1 = (v1(i,kemx(i))-v1(i,kemx(i)-1))/tem
! tem1 = hpbl01(i)-zl(i,kemx(i)-1)
! u01 = u1(i,kemx(i)-1)+ptem*tem1
! v01 = v1(i,kemx(i)-1)+ptem1*tem1
! endif
! if(kk.gt.kemx(i)) then
! delu = u1(i,kk)-u01
! delv = v1(i,kk)-v01
! tem2 = sqrt(delu**2+delv**2)
! tem2 = max(tem2,0.1)
! ptem2 = -sfac*ustar(i)*ustar(i)*wstar3(i)
! 1 /(wscale(i)**4.)
! hgamu(i) = ptem2*delu/tem2
! hgamv(i) = ptem2*delv/tem2
! tem = sqrt(u1(i,kk)**2+v1(i,kk)**2)
! tem1 = sqrt(u01**2+v01**2)
! ptem = tem - tem1
! if(ptem.gt.0.) then
! hgams(i)=-sfac*vk*sfcfrac*wstar3(i)/(wscale(i)**3.)
! else
! hgams(i)=sfac*vk*sfcfrac*wstar3(i)/(wscale(i)**3.)
! endif
! else
! hgams(i) = 0.
! endif
! endif
! enddo
!
! enhance the pbl height by considering the thermal excess
!
do i=1,im
flg(i) = .true.
if(pblflg(i)) then
flg(i) = .false.
rbup(i) = rbsoil(i)
endif
enddo
do k = 2, kmpbl
do i = 1, im
if(.not.flg(i)) then
rbdn(i) = rbup(i)
spdk2 = max((u1(i,k)**2+v1(i,k)**2),1.)
rbup(i) = (thvx(i,k)-thermal(i))*
& (g*zl(i,k)/thvx(i,1))/spdk2
kpbl(i) = k
flg(i) = rbup(i).gt.rbcr
endif
enddo
enddo
do i = 1,im
if(pblflg(i)) then
k = kpbl(i)
if(rbdn(i).ge.rbcr) then
rbint = 0.
elseif(rbup(i).le.rbcr) then
rbint = 1.
else
rbint = (rbcr-rbdn(i))/(rbup(i)-rbdn(i))
endif
hpbl(i) = zl(i,k-1) + rbint*(zl(i,k)-zl(i,k-1))
if(hpbl(i).lt.zi(i,kpbl(i))) kpbl(i) = kpbl(i) - 1
if(kpbl(i).le.1) pblflg(i) = .false.
endif
enddo
!
! look for stratocumulus
!
do i = 1, im
flg(i)=scuflg(i)
enddo
do k = kmpbl,1,-1
do i = 1, im
if(flg(i).and.k.le.lcld(i)) then
if(qlx(i,k).ge.qlcr) then
kcld(i)=k
flg(i)=.false.
endif
endif
enddo
enddo
do i = 1, im
if(scuflg(i).and.kcld(i).eq.km1) scuflg(i)=.false.
enddo
!
do i = 1, im
flg(i)=scuflg(i)
enddo
do k = kmpbl,1,-1
do i = 1, im
if(flg(i).and.k.le.kcld(i)) then
if(qlx(i,k).ge.qlcr) then
if(radx(i,k).lt.radmin(i)) then
radmin(i)=radx(i,k)
krad(i)=k
endif
else
flg(i)=.false.
endif
endif
enddo
enddo
do i = 1, im
if(scuflg(i).and.krad(i).le.1) scuflg(i)=.false.
if(scuflg(i).and.radmin(i).ge.0.) scuflg(i)=.false.
enddo
!
do i = 1, im
flg(i)=scuflg(i)
enddo
do k = kmpbl,2,-1
do i = 1, im
if(flg(i).and.k.le.krad(i)) then
if(qlx(i,k).ge.qlcr) then
icld(i)=icld(i)+1
else
flg(i)=.false.
endif
endif
enddo
enddo
do i = 1, im
if(scuflg(i).and.icld(i).lt.1) scuflg(i)=.false.
enddo
!
do i = 1, im
if(scuflg(i)) then
hrad(i) = zi(i,krad(i)+1)
! hradm(i)= zl(i,krad(i))
endif
enddo
!
do i = 1, im
if(scuflg(i).and.hrad(i).lt.zi(i,2)) scuflg(i)=.false.
enddo
!
do i = 1, im
if(scuflg(i)) then
k = krad(i)
tem = zi(i,k+1)-zi(i,k)
tem1 = cldtime*radmin(i)/tem
thlvx1(i) = thlvx(i,k)+tem1
! if(thlvx1(i).gt.thlvx(i,k-1)) scuflg(i)=.false.
endif
enddo
!
do i = 1, im
flg(i)=scuflg(i)
enddo
do k = kmpbl,1,-1
do i = 1, im
if(flg(i).and.k.le.krad(i))then
if(thlvx1(i).le.thlvx(i,k))then
tem=zi(i,k+1)-zi(i,k)
zd(i)=zd(i)+tem
else
flg(i)=.false.
endif
endif
enddo
enddo
do i = 1, im
if(scuflg(i))then
kk = max(1, krad(i)+1-icld(i))
zdd(i) = hrad(i)-zi(i,kk)
endif
enddo
do i = 1, im
if(scuflg(i))then
zd(i) = max(zd(i),zdd(i))
zd(i) = min(zd(i),hrad(i))
tem = govrth(i)*zd(i)*(-radmin(i))
vrad(i)= tem**h1
endif
enddo
!
! compute inverse prandtl number
!
do i = 1, im
if(pblflg(i)) then
tem = phih(i)/phim(i)+cfac*vk*sfcfrac
! prinv(i) = (1.0-hgams(i))/tem
prinv(i) = 1.0 / tem
prinv(i) = min(prinv(i),prmax)
prinv(i) = max(prinv(i),prmin)
endif
enddo
!
! compute diffusion coefficients below pbl
!
do k = 1, kmpbl
do i=1,im
if(pblflg(i).and.k.lt.kpbl(i)) then
! zfac = max((1.-(zi(i,k+1)-zl(i,1))/
! 1 (hpbl(i)-zl(i,1))), zfmin)
zfac = max((1.-zi(i,k+1)/hpbl(i)), zfmin)
tem = wscale(i)*vk*zi(i,k+1)*zfac**pfac
! dku(i,k) = xkzo(i,k)+wscale(i)*vk*zi(i,k+1)
! 1 *zfac**pfac
dku(i,k) = xkzmo(i,k) + tem
dkt(i,k) = xkzo(i,k) + tem * prinv(i)
dku(i,k) = min(dku(i,k),dkmax)
! dku(i,k) = max(dku(i,k),xkzmo(i,k))
dkt(i,k) = min(dkt(i,k),dkmax)
! dkt(i,k) = max(dkt(i,k),xkzo(i,k))
dktx(i,k)= dkt(i,k)
dkux(i,k)= dku(i,k)
endif
enddo
enddo
!
! compute diffusion coefficients based on local scheme
!
do i = 1, im
if(.not.pblflg(i)) then
kpbl(i) = 1
endif
enddo
do k = 1, km1
do i=1,im
if(k.ge.kpbl(i)) then
bvf2 = g*bf(i,k)*ti(i,k)
ri = max(bvf2/shr2(i,k),rimin)
zk = vk*zi(i,k+1)
if(ri.lt.0.) then ! unstable regime
rl2 = zk*rlamun/(rlamun+zk)
dk = rl2*rl2*sqrt(shr2(i,k))
sri = sqrt(-ri)
dku(i,k) = xkzmo(i,k) + dk*(1+8.*(-ri)/(1+1.746*sri))
dkt(i,k) = xkzo(i,k) + dk*(1+8.*(-ri)/(1+1.286*sri))
else ! stable regime
rl2 = zk*rlam/(rlam+zk)
!! tem = rlam * sqrt(0.01*prsi(i,k))
!! rl2 = zk*tem/(tem+zk)
dk = rl2*rl2*sqrt(shr2(i,k))
tem1 = dk/(1+5.*ri)**2
if(k.ge.kpblx(i)) then
prnum = 1.0 + 2.1*ri
prnum = min(prnum,prmax)
else
prnum = 1.0
endif
dkt(i,k) = xkzo(i,k) + tem1
dku(i,k) = xkzmo(i,k) + tem1 * prnum
endif
!
dku(i,k) = min(dku(i,k),dkmax)
! dku(i,k) = max(dku(i,k),xkzmo(i,k))
dkt(i,k) = min(dkt(i,k),dkmax)
! dkt(i,k) = max(dkt(i,k),xkzo(i,k))
!
endif
!
enddo
enddo
!
! compute diffusion coefficients for cloud-top driven diffusion
! if the condition for cloud-top instability is met,
! increase entrainment flux at cloud top
!
do i = 1, im
if(scuflg(i)) then
k = krad(i)
tem = thetae(i,k) - thetae(i,k+1)
tem1 = qtx(i,k) - qtx(i,k+1)
if (tem.gt.0..and.tem1.gt.0.) then
cteit(i)= cp*tem/(hvap*tem1)
if(cteit(i).gt.actei) rent(i) = rentf2
endif
endif
enddo
do i = 1, im
if(scuflg(i)) then
k = krad(i)
tem1 = max(bf(i,k),tdzmin)
ckt(i,k) = -rent(i)*radmin(i)/tem1
cku(i,k) = ckt(i,k)
endif
enddo
!
do k = 1, kmpbl
do i=1,im
if(scuflg(i).and.k.lt.krad(i)) then
tem1=hrad(i)-zd(i)
tem2=zi(i,k+1)-tem1
if(tem2.gt.0.) then
ptem= tem2/zd(i)
if(ptem.ge.1.) ptem= 1.
ptem= tem2*ptem*sqrt(1.-ptem)
ckt(i,k) = radfac*vk*vrad(i)*ptem
cku(i,k) = 0.75*ckt(i,k)
ckt(i,k) = max(ckt(i,k),dkmin)
ckt(i,k) = min(ckt(i,k),dkmax)
cku(i,k) = max(cku(i,k),dkmin)
cku(i,k) = min(cku(i,k),dkmax)
endif
endif
enddo
enddo
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!
do k = 1, kmpbl
do i=1,im
if(scuflg(i)) then
dkt(i,k) = dkt(i,k)+ckt(i,k)
dku(i,k) = dku(i,k)+cku(i,k)
dkt(i,k) = min(dkt(i,k),dkmax)
dku(i,k) = min(dku(i,k),dkmax)
endif
enddo
enddo
!
! compute tridiagonal matrix elements for heat and moisture
!
do i=1,im
ad(i,1) = 1.
a1(i,1) = t1(i,1) + beta(i) * heat(i)
a2(i,1) = q1(i,1,1) + beta(i) * evap(i)
enddo
if(ntrac.ge.2) then
do k = 2, ntrac
is = (k-1) * km
do i = 1, im
a2(i,1+is) = q1(i,1,k)
enddo
enddo
endif
!
do k = 1,km1
do i = 1,im
dtodsd = dt/del(i,k)
dtodsu = dt/del(i,k+1)
dsig = prsl(i,k)-prsl(i,k+1)
! rdz = rdzt(i,k)*2./(t1(i,k)+t1(i,k+1))
rdz = rdzt(i,k)
tem1 = dsig * dkt(i,k) * rdz
if(pblflg(i).and.k.lt.kpbl(i)) then
! dsdzt = dsig*dkt(i,k)*rdz*(gocp-hgamt(i)/hpbl(i))
! dsdzq = dsig*dkt(i,k)*rdz*(-hgamq(i)/hpbl(i))
ptem1 = dsig * dktx(i,k) * rdz
tem = 1.0 / hpbl(i)
dsdzt = tem1 * gocp - ptem1*hgamt(i)*tem
dsdzq = ptem1 * (-hgamq(i)*tem)
a2(i,k) = a2(i,k)+dtodsd*dsdzq
a2(i,k+1) = q1(i,k+1,1)-dtodsu*dsdzq
else
! dsdzt = dsig*dkt(i,k)*rdz*(gocp)
dsdzt = tem1 * gocp
a2(i,k+1) = q1(i,k+1,1)
endif
! dsdz2 = dsig*dkt(i,k)*rdz*rdz
dsdz2 = tem1 * rdz
au(i,k) = -dtodsd*dsdz2
al(i,k) = -dtodsu*dsdz2
ad(i,k) = ad(i,k)-au(i,k)
ad(i,k+1) = 1.-al(i,k)
a1(i,k) = a1(i,k)+dtodsd*dsdzt
a1(i,k+1) = t1(i,k+1)-dtodsu*dsdzt
enddo
enddo
if(ntrac.ge.2) then
do kk = 2, ntrac
is = (kk-1) * km
do k = 1, km1
do i = 1, im
a2(i,k+1+is) = q1(i,k+1,kk)
enddo
enddo
enddo
endif
!
! solve tridiagonal problem for heat and moisture
!
call tridin(im,km,ntrac,al,ad,au,a1,a2,au,a1,a2)
!
! recover tendencies of heat and moisture
!
do k = 1,km
do i = 1,im
ttend = (a1(i,k)-t1(i,k))*rdt
qtend = (a2(i,k)-q1(i,k,1))*rdt
tau(i,k) = tau(i,k)+ttend
rtg(i,k,1) = rtg(i,k,1)+qtend
dtsfc(i) = dtsfc(i)+cont*del(i,k)*ttend
dqsfc(i) = dqsfc(i)+conq*del(i,k)*qtend
enddo
enddo
if(ntrac.ge.2) then
do kk = 2, ntrac
is = (kk-1) * km
do k = 1, km
do i = 1, im
qtend = (a2(i,k+is)-q1(i,k,kk))*rdt
rtg(i,k,kk) = rtg(i,k,kk)+qtend
enddo
enddo
enddo
endif
!
! compute tke dissipation rate
!
if(dspheat) then
!
do k = 1,km1
do i = 1,im
diss(i,k) = dku(i,k)*shr2(i,k)-g*ti(i,k)*dkt(i,k)*bf(i,k)
! diss(i,k) = dku(i,k)*shr2(i,k)
enddo
enddo
!
! add dissipative heating at the first model layer
!
do i = 1,im
tem = govrth(i)*sflux(i)
tem1 = tem + stress(i)*spd1(i)/zl(i,1)
tem2 = 0.5 * (tem1+diss(i,1))
tem2 = max(tem2, 0.)
ttend = tem2 / cp
tau(i,1) = tau(i,1)+0.5*ttend
enddo
!
! add dissipative heating above the first model layer
!
do k = 2,km1
do i = 1,im
tem = 0.5 * (diss(i,k-1)+diss(i,k))
tem = max(tem, 0.)
ttend = tem / cp
tau(i,k) = tau(i,k) + 0.5*ttend
enddo
enddo
!
endif
!
! compute tridiagonal matrix elements for momentum
!
do i=1,im
ad(i,1) = 1.0 + beta(i) * stress(i) / spd1(i)
a1(i,1) = u1(i,1)
a2(i,1) = v1(i,1)
enddo
!
do k = 1,km1
do i=1,im
dtodsd = dt/del(i,k)
dtodsu = dt/del(i,k+1)
dsig = prsl(i,k)-prsl(i,k+1)
rdz = rdzt(i,k)
tem1 = dsig*dku(i,k)*rdz
! if(pblflg(i).and.k.lt.kpbl(i))then
! ptem1 = dsig*dkux(i,k)*rdz
! dsdzu = ptem1*(-hgamu(i)/hpbl(i))
! dsdzv = ptem1*(-hgamv(i)/hpbl(i))
! a1(i,k) = a1(i,k)+dtodsd*dsdzu
! a1(i,k+1) = u1(i,k+1)-dtodsu*dsdzu
! a2(i,k) = a2(i,k)+dtodsd*dsdzv
! a2(i,k+1) = v1(i,k+1)-dtodsu*dsdzv
! else
a1(i,k+1) = u1(i,k+1)
a2(i,k+1) = v1(i,k+1)
! endif
! dsdz2 = dsig*dku(i,k)*rdz*rdz
dsdz2 = tem1*rdz
au(i,k) = -dtodsd*dsdz2
al(i,k) = -dtodsu*dsdz2
ad(i,k) = ad(i,k)-au(i,k)
ad(i,k+1) = 1.-al(i,k)
enddo
enddo
!
! solve tridiagonal problem for momentum
!
call tridi2(im,km,al,ad,au,a1,a2,au,a1,a2)
!
! recover tendencies of momentum
!
do k = 1,km
do i = 1,im
utend = (a1(i,k)-u1(i,k))*rdt
vtend = (a2(i,k)-v1(i,k))*rdt
du(i,k) = du(i,k) + utend
dv(i,k) = dv(i,k) + vtend
dusfc(i) = dusfc(i) + conw*del(i,k)*utend
dvsfc(i) = dvsfc(i) + conw*del(i,k)*vtend
enddo
enddo
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! pbl height for diagnostic purpose
!
do i = 1, im
hpbl(i) = hpblx(i)
kpbl(i) = kpblx(i)
enddo
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
return
end