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bl_ysu.F
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#define NEED_B4B_DURING_CCPP_TESTING 1
!=================================================================================================================
module bl_ysu
use ccpp_kinds,only: kind_phys
implicit none
private
public:: bl_ysu_run , &
bl_ysu_init , &
bl_ysu_final , &
bl_ysu_timestep_init, &
bl_ysu_timestep_final
contains
!=================================================================================================================
subroutine bl_ysu_run(ux,vx,tx,qvx,qcx,qix,nmix,qmix,p2d,p2di,pi2d, &
f_qc,f_qi, &
utnp,vtnp,ttnp,qvtnp,qctnp,qitnp,qmixtnp, &
cp,g,rovcp,rd,rovg,ep1,ep2,karman,xlv,rv, &
dz8w2d,psfcpa, &
znt,ust,hpbl,psim,psih, &
xland,hfx,qfx,wspd,br, &
dt,kpbl1d, &
exch_hx,exch_mx, &
wstar,delta, &
u10,v10, &
uox,vox, &
rthraten, &
ysu_topdown_pblmix, &
ctopo,ctopo2, &
a_u,a_v,a_t,a_q,a_e, &
b_u,b_v,b_t,b_q,b_e, &
sfk,vlk,dlu,dlg,frcurb, &
flag_bep, &
its,ite,kte,kme, &
errmsg,errflg &
)
!-------------------------------------------------------------------------------
implicit none
!-------------------------------------------------------------------------------
!
! this code is a revised vertical diffusion package ("ysupbl")
! with a nonlocal turbulent mixing in the pbl after "mrfpbl".
! the ysupbl (hong et al. 2006) is based on the study of noh
! et al.(2003) and accumulated realism of the behavior of the
! troen and mahrt (1986) concept implemented by hong and pan(1996).
! the major ingredient of the ysupbl is the inclusion of an explicit
! treatment of the entrainment processes at the entrainment layer.
! this routine uses an implicit approach for vertical flux
! divergence and does not require "miter" timesteps.
! it includes vertical diffusion in the stable atmosphere
! and moist vertical diffusion in clouds.
!
! mrfpbl:
! coded by song-you hong (ncep), implemented by jimy dudhia (ncar)
! fall 1996
!
! ysupbl:
! coded by song-you hong (yonsei university) and implemented by
! song-you hong (yonsei university) and jimy dudhia (ncar)
! summer 2002
!
! further modifications :
! an enhanced stable layer mixing, april 2008
! ==> increase pbl height when sfc is stable (hong 2010)
! pressure-level diffusion, april 2009
! ==> negligible differences
! implicit forcing for momentum with clean up, july 2009
! ==> prevents model blowup when sfc layer is too low
! incresea of lamda, maximum (30, 0.1 x del z) feb 2010
! ==> prevents model blowup when delz is extremely large
! revised prandtl number at surface, peggy lemone, feb 2010
! ==> increase kh, decrease mixing due to counter-gradient term
! revised thermal, shin et al. mon. wea. rev. , songyou hong, aug 2011
! ==> reduce the thermal strength when z1 < 0.1 h
! revised prandtl number for free convection, dudhia, mar 2012
! ==> pr0 = 1 + bke (=0.272) when neutral, kh is reduced
! minimum kzo = 0.01, lo = min (30m,delz), hong, mar 2012
! ==> weaker mixing when stable, and les resolution in vertical
! gz1oz0 is removed, and psim psih are ln(z1/z0)-psim,h, hong, mar 2012
! ==> consider thermal z0 when differs from mechanical z0
! a bug fix in wscale computation in stable bl, sukanta basu, jun 2012
! ==> wscale becomes small with height, and less mixing in stable bl
! revision in background diffusion (kzo), jan 2016
! ==> kzo = 0.1 for momentum and = 0.01 for mass to account for
! internal wave mixing of large et al. (1994), songyou hong, feb 2016
! ==> alleviate superious excessive mixing when delz is large
! add multilayer urban canopy models of BEP and BEP+BEM, jan 2021
!
! references:
!
! hendricks, knievel, and wang (2020), j. appl. meteor. clim.
! hong (2010) quart. j. roy. met. soc
! hong, noh, and dudhia (2006), mon. wea. rev.
! hong and pan (1996), mon. wea. rev.
! noh, chun, hong, and raasch (2003), boundary layer met.
! troen and mahrt (1986), boundary layer met.
!
!-------------------------------------------------------------------------------
!
real(kind=kind_phys),parameter :: xkzminm = 0.1,xkzminh = 0.01
real(kind=kind_phys),parameter :: xkzmin = 0.01,xkzmax = 1000.,rimin = -100.
real(kind=kind_phys),parameter :: rlam = 30.,prmin = 0.25,prmax = 4.
real(kind=kind_phys),parameter :: brcr_ub = 0.0,brcr_sb = 0.25,cori = 1.e-4
real(kind=kind_phys),parameter :: afac = 6.8,bfac = 6.8,pfac = 2.0,pfac_q = 2.0
real(kind=kind_phys),parameter :: phifac = 8.,sfcfrac = 0.1
real(kind=kind_phys),parameter :: d1 = 0.02, d2 = 0.05, d3 = 0.001
real(kind=kind_phys),parameter :: h1 = 0.33333335, h2 = 0.6666667
real(kind=kind_phys),parameter :: zfmin = 1.e-8,aphi5 = 5.,aphi16 = 16.
real(kind=kind_phys),parameter :: tmin=1.e-2
real(kind=kind_phys),parameter :: gamcrt = 3.,gamcrq = 2.e-3
real(kind=kind_phys),parameter :: xka = 2.4e-5
integer,parameter :: imvdif = 1
real(kind=kind_phys),parameter :: rcl = 1.0
integer,parameter :: kts=1, kms=1
!
integer, intent(in ) :: its,ite,kte,kme
integer, intent(in) :: ysu_topdown_pblmix
!
integer, intent(in) :: nmix
!
real(kind=kind_phys), intent(in ) :: dt,cp,g,rovcp,rovg,rd,xlv,rv
!
real(kind=kind_phys), intent(in ) :: ep1,ep2,karman
!
logical, intent(in ) :: f_qc, f_qi
!
real(kind=kind_phys), dimension( its:ite, kts:kte ) , &
intent(in) :: dz8w2d, &
pi2d
!
real(kind=kind_phys), dimension( its:ite, kts:kte ) , &
intent(in ) :: tx, &
qvx, &
qcx, &
qix
!
real(kind=kind_phys), dimension( its:ite, kts:kte, nmix ) , &
intent(in ) :: qmix
!
real(kind=kind_phys), dimension( its:ite, kts:kte ) , &
intent(out ) :: utnp, &
vtnp, &
ttnp, &
qvtnp, &
qctnp, &
qitnp
!
real(kind=kind_phys), dimension( its:ite, kts:kte, nmix ) , &
intent(out ) :: qmixtnp
!
real(kind=kind_phys), dimension( its:ite, kms:kme ) , &
intent(in ) :: p2di
!
real(kind=kind_phys), dimension( its:ite, kts:kte ) , &
intent(in ) :: p2d
!
real(kind=kind_phys), dimension( its:ite ) , &
intent(out ) :: hpbl
!
real(kind=kind_phys), dimension( its:ite ) , &
intent(in ) :: ust, &
znt
real(kind=kind_phys), dimension( its:ite ) , &
intent(in ) :: xland, &
hfx, &
qfx
!
real(kind=kind_phys), dimension( its:ite ), intent(in ) :: wspd
real(kind=kind_phys), dimension( its:ite ), intent(in ) :: br
!
real(kind=kind_phys), dimension( its:ite ), intent(in ) :: psim, &
psih
!
real(kind=kind_phys), dimension( its:ite ), intent(in ) :: psfcpa
integer, dimension( its:ite ), intent(out ) :: kpbl1d
!
real(kind=kind_phys), dimension( its:ite, kts:kte ) , &
intent(in ) :: ux, &
vx, &
rthraten
real(kind=kind_phys), dimension( its:ite ) , &
optional , &
intent(in ) :: ctopo, &
ctopo2
!
logical, intent(in ) :: flag_bep
real(kind=kind_phys), dimension( its:ite, kts:kte ) , &
optional , &
intent(in ) :: a_u, &
a_v, &
a_t, &
a_q, &
a_e, &
b_u, &
b_v, &
b_t, &
b_q, &
b_e, &
sfk, &
vlk, &
dlu, &
dlg
real(kind=kind_phys), dimension( its:ite ) , &
optional , &
intent(in ) :: frcurb
!
character(len=*), intent(out) :: errmsg
integer, intent(out) :: errflg
!
! local vars
!
real(kind=kind_phys), dimension( its:ite ) :: hol
real(kind=kind_phys), dimension( its:ite, kms:kme ) :: zq
!
real(kind=kind_phys), dimension( its:ite, kts:kte ) :: &
thx,thvx,thlix, &
del, &
dza, &
dzq, &
xkzom, &
xkzoh, &
za
!
real(kind=kind_phys), dimension( its:ite ) :: &
rhox, &
govrth, &
zl1,thermal, &
wscale, &
hgamt,hgamq, &
brdn,brup, &
phim,phih, &
dusfc,dvsfc, &
dtsfc,dqsfc, &
prpbl, &
wspd1,thermalli
!
real(kind=kind_phys), dimension( its:ite, kts:kte ) :: xkzh,xkzm,xkzq, &
f1,f2, &
r1,r2, &
ad,au, &
cu, &
al, &
zfac, &
rhox2, &
hgamt2, &
ad1,adm,adv
!
!jdf added exch_hx
!
real(kind=kind_phys), dimension( its:ite, kts:kte ) , &
intent(out ) :: exch_hx, &
exch_mx
!
real(kind=kind_phys), dimension( its:ite ) , &
intent(inout) :: u10, &
v10
real(kind=kind_phys), dimension( its:ite ), optional , &
intent(in ) :: uox, &
vox
real(kind=kind_phys), dimension( its:ite ) :: uoxl, &
voxl
real(kind=kind_phys), dimension( its:ite ) :: &
brcr, &
sflux, &
zol1, &
brcr_sbro
!
real(kind=kind_phys), dimension( its:ite, kts:kte) :: r3,f3
integer, dimension( its:ite ) :: kpbl,kpblold
!
logical, dimension( its:ite ) :: pblflg, &
sfcflg, &
stable, &
cloudflg
logical :: definebrup
!
integer :: n,i,k,l,ic,is,kk
integer :: klpbl
!
!
real(kind=kind_phys) :: dt2,rdt,spdk2,fm,fh,hol1,gamfac,vpert,prnum,prnum0
real(kind=kind_phys) :: ss,ri,qmean,tmean,alph,chi,zk,rl2,dk,sri
real(kind=kind_phys) :: brint,dtodsd,dtodsu,rdz,dsdzt,dsdzq,dsdz2,rlamdz
real(kind=kind_phys) :: utend,vtend,ttend,qtend
real(kind=kind_phys) :: dtstep,govrthv
real(kind=kind_phys) :: cont, conq, conw, conwrc
!
real(kind=kind_phys), dimension( its:ite, kts:kte ) :: wscalek,wscalek2
real(kind=kind_phys), dimension( its:ite ), intent(out) :: wstar, &
delta
real(kind=kind_phys), dimension( its:ite, kts:kte ) :: xkzml,xkzhl, &
zfacent,entfac
real(kind=kind_phys), dimension( its:ite, kts:kte ) :: qcxl, &
qixl
real(kind=kind_phys), dimension( its:ite ) :: ust3, &
wstar3, &
wstar3_2, &
hgamu,hgamv, &
wm2, we, &
bfxpbl, &
hfxpbl,qfxpbl, &
ufxpbl,vfxpbl, &
dthvx
real(kind=kind_phys) :: prnumfac,bfx0,hfx0,qfx0,delb,dux,dvx, &
dsdzu,dsdzv,wm3,dthx,dqx,wspd10,ross,tem1,dsig,tvcon,conpr, &
prfac,prfac2,phim8z,radsum,tmp1,templ,rvls,temps,ent_eff, &
rcldb,bruptmp,radflux,vconvlim,vconvnew,fluxc,vconvc,vconv
!topo-corr
real(kind=kind_phys), dimension( its:ite, kts:kte ) :: fric, &
tke_ysu,&
el_ysu,&
shear_ysu,&
buoy_ysu
real(kind=kind_phys), dimension( its:ite) :: pblh_ysu,&
vconvfx
!
real(kind=kind_phys) :: bepswitch
real(kind=kind_phys), dimension( its:ite, kts:kte ) :: &
a_u2d,a_v2d,a_t2d,a_q2d,a_e2d,b_u2d,b_v2d,b_t2d,b_q2d,b_e2d, &
sfk2d,vlk2d,dlu2d,dlg2d
real(kind=kind_phys), dimension( its:ite ) :: &
frc_urb1d
real(kind=kind_phys), dimension( kts:kte ) :: thvx_1d,tke_1d,dzq_1d
real(kind=kind_phys), dimension( kts:kte+1) :: zq_1d
!
!-------------------------------------------------------------------------------
!
klpbl = kte
!
cont=cp/g
conq=xlv/g
conw=1./g
conwrc = conw*sqrt(rcl)
conpr = bfac*karman*sfcfrac
!
! k-start index for tracer diffusion
!
if(f_qc) then
do k = kts,kte
do i = its,ite
qcxl(i,k) = qcx(i,k)
enddo
enddo
else
do k = kts,kte
do i = its,ite
qcxl(i,k) = 0.
enddo
enddo
endif
!
if(f_qi) then
do k = kts,kte
do i = its,ite
qixl(i,k) = qix(i,k)
enddo
enddo
else
do k = kts,kte
do i = its,ite
qixl(i,k) = 0.
enddo
enddo
endif
!
do k = kts,kte
do i = its,ite
thx(i,k) = tx(i,k)/pi2d(i,k)
thlix(i,k) = (tx(i,k)-xlv*qcxl(i,k)/cp-2.834E6*qixl(i,k)/cp)/pi2d(i,k)
enddo
enddo
!
do k = kts,kte
do i = its,ite
tvcon = (1.+ep1*qvx(i,k))
thvx(i,k) = thx(i,k)*tvcon
enddo
enddo
!
if ( present(uox) .and. present(vox) ) then
do i =its,ite
uoxl(i) = uox(i)
voxl(i) = vox(i)
enddo
else
do i =its,ite
uoxl(i) = 0
voxl(i) = 0
enddo
endif
!
do i = its,ite
tvcon = (1.+ep1*qvx(i,1))
rhox(i) = psfcpa(i)/(rd*tx(i,1)*tvcon)
govrth(i) = g/thx(i,1)
enddo
!
if(present(a_u) .and. present(a_v) .and. present(a_t) .and. &
present(a_q) .and. present(a_t) .and. present(a_e) .and. &
present(b_u) .and. present(b_v) .and. present(b_t) .and. &
present(b_q) .and. present(b_e) .and. present(dlg) .and. &
present(dlu) .and. present(sfk) .and. present(vlk) .and. &
present(frcurb) .and. flag_bep) then
bepswitch=1.0
do k = kts, kte
do i = its,ite
a_u2d(i,k) = a_u(i,k)
a_v2d(i,k) = a_v(i,k)
a_t2d(i,k) = a_t(i,k)
a_q2d(i,k) = a_q(i,k)
a_e2d(i,k) = a_e(i,k)
b_u2d(i,k) = b_u(i,k)
b_v2d(i,k) = b_v(i,k)
b_t2d(i,k) = b_t(i,k)
b_q2d(i,k) = b_q(i,k)
b_e2d(i,k) = b_e(i,k)
dlg2d(i,k) = dlg(i,k)
dlu2d(i,k) = dlu(i,k)
vlk2d(i,k) = vlk(i,k)
sfk2d(i,k) = sfk(i,k)
enddo
enddo
do i = its, ite
frc_urb1d(i) = frcurb(i)
enddo
else
bepswitch=0.0
do k = kts, kte
do i = its,ite
a_u2d(i,k) = 0.0
a_v2d(i,k) = 0.0
a_t2d(i,k) = 0.0
a_q2d(i,k) = 0.0
a_e2d(i,k) = 0.0
b_u2d(i,k) = 0.0
b_v2d(i,k) = 0.0
b_t2d(i,k) = 0.0
b_q2d(i,k) = 0.0
b_e2d(i,k) = 0.0
dlg2d(i,k) = 0.0
dlu2d(i,k) = 0.0
vlk2d(i,k) = 1.0
sfk2d(i,k) = 1.0
enddo
enddo
do i = its, ite
frc_urb1d(i) = 0.0
enddo
endif
!
!-----compute the height of full- and half-sigma levels above ground
! level, and the layer thicknesses.
!
do i = its,ite
zq(i,1) = 0.
enddo
!
do k = kts,kte
do i = its,ite
zq(i,k+1) = dz8w2d(i,k)+zq(i,k)
tvcon = (1.+ep1*qvx(i,k))
rhox2(i,k) = p2d(i,k)/(rd*tx(i,k)*tvcon)
enddo
enddo
!
do k = kts,kte
do i = its,ite
za(i,k) = 0.5*(zq(i,k)+zq(i,k+1))
dzq(i,k) = zq(i,k+1)-zq(i,k)
del(i,k) = p2di(i,k)-p2di(i,k+1)
enddo
enddo
!
do i = its,ite
dza(i,1) = za(i,1)
enddo
!
do k = kts+1,kte
do i = its,ite
dza(i,k) = za(i,k)-za(i,k-1)
enddo
enddo
!
!-----initialize output and local exchange coefficents:
do k = kts,kte
do i = its,ite
exch_hx(i,k) = 0.
exch_mx(i,k) = 0.
xkzh(i,k) = 0.
xkzhl(i,k) = 0.
xkzm(i,k) = 0.
xkzml(i,k) = 0.
xkzq(i,k) = 0.
enddo
enddo
!
do i = its,ite
wspd1(i) = sqrt( (ux(i,1)-uoxl(i))*(ux(i,1)-uoxl(i)) + (vx(i,1)-voxl(i))*(vx(i,1)-voxl(i)) )+1.e-9
enddo
!
!---- compute vertical diffusion
!
! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
! compute preliminary variables
!
dtstep = dt
dt2 = 2.*dtstep
rdt = 1./dt2
!
do i = its,ite
bfxpbl(i) = 0.0
hfxpbl(i) = 0.0
qfxpbl(i) = 0.0
ufxpbl(i) = 0.0
vfxpbl(i) = 0.0
hgamu(i) = 0.0
hgamv(i) = 0.0
delta(i) = 0.0
wstar3_2(i) = 0.0
enddo
!
do k = kts,klpbl
do i = its,ite
wscalek(i,k) = 0.0
wscalek2(i,k) = 0.0
enddo
enddo
!
do k = kts,klpbl
do i = its,ite
zfac(i,k) = 0.0
enddo
enddo
do k = kts,klpbl-1
do i = its,ite
xkzom(i,k) = xkzminm
xkzoh(i,k) = xkzminh
enddo
enddo
!
do i = its,ite
dusfc(i) = 0.
dvsfc(i) = 0.
dtsfc(i) = 0.
dqsfc(i) = 0.
enddo
!
do i = its,ite
hgamt(i) = 0.
hgamq(i) = 0.
wscale(i) = 0.
kpbl(i) = 1
hpbl(i) = zq(i,1)
zl1(i) = za(i,1)
thermal(i)= thvx(i,1)
thermalli(i) = thlix(i,1)
pblflg(i) = .true.
sfcflg(i) = .true.
sflux(i) = hfx(i)/rhox(i)/cp + qfx(i)/rhox(i)*ep1*thx(i,1)
if(br(i).gt.0.0) sfcflg(i) = .false.
enddo
!
! compute the first guess of pbl height
!
do i = its,ite
stable(i) = .false.
brup(i) = br(i)
brcr(i) = brcr_ub
enddo
!
do k = 2,klpbl
do i = its,ite
if(.not.stable(i))then
brdn(i) = brup(i)
spdk2 = max(ux(i,k)**2+vx(i,k)**2,1.)
brup(i) = (thvx(i,k)-thermal(i))*(g*za(i,k)/thvx(i,1))/spdk2
kpbl(i) = k
stable(i) = brup(i).gt.brcr(i)
endif
enddo
enddo
!
do i = its,ite
k = kpbl(i)
if(brdn(i).ge.brcr(i))then
brint = 0.
elseif(brup(i).le.brcr(i))then
brint = 1.
else
brint = (brcr(i)-brdn(i))/(brup(i)-brdn(i))
endif
hpbl(i) = za(i,k-1)+brint*(za(i,k)-za(i,k-1))
if(hpbl(i).lt.zq(i,2)) kpbl(i) = 1
if(kpbl(i).le.1) pblflg(i) = .false.
enddo
!
do i = its,ite
fm = psim(i)
fh = psih(i)
zol1(i) = max(br(i)*fm*fm/fh,rimin)
if(sfcflg(i))then
zol1(i) = min(zol1(i),-zfmin)
else
zol1(i) = max(zol1(i),zfmin)
endif
hol1 = zol1(i)*hpbl(i)/zl1(i)*sfcfrac
if(sfcflg(i))then
phim(i) = (1.-aphi16*hol1)**(-1./4.)
phih(i) = (1.-aphi16*hol1)**(-1./2.)
bfx0 = max(sflux(i),0.)
hfx0 = max(hfx(i)/rhox(i)/cp,0.)
qfx0 = max(ep1*thx(i,1)*qfx(i)/rhox(i),0.)
wstar3(i) = (govrth(i)*bfx0*hpbl(i))
wstar(i) = (wstar3(i))**h1
else
phim(i) = (1.+aphi5*hol1)
phih(i) = phim(i)
wstar(i) = 0.
wstar3(i) = 0.
endif
ust3(i) = ust(i)**3.
wscale(i) = (ust3(i)+phifac*karman*wstar3(i)*0.5)**h1
wscale(i) = min(wscale(i),ust(i)*aphi16)
wscale(i) = max(wscale(i),ust(i)/aphi5)
enddo
!
! compute the surface variables for pbl height estimation
! under unstable conditions
!
do i = its,ite
if(sfcflg(i).and.sflux(i).gt.0.0)then
gamfac = bfac/rhox(i)/wscale(i)
hgamt(i) = min(gamfac*hfx(i)/cp,gamcrt)
hgamq(i) = min(gamfac*qfx(i),gamcrq)
vpert = (hgamt(i)+ep1*thx(i,1)*hgamq(i))/bfac*afac
thermal(i) = thermal(i)+max(vpert,0.)*min(za(i,1)/(sfcfrac*hpbl(i)),1.0)
thermalli(i)= thermalli(i)+max(vpert,0.)*min(za(i,1)/(sfcfrac*hpbl(i)),1.0)
hgamt(i) = max(hgamt(i),0.0)
hgamq(i) = max(hgamq(i),0.0)
brint = -15.9*ust(i)*ust(i)/wspd(i)*wstar3(i)/(wscale(i)**4.)
hgamu(i) = brint*ux(i,1)
hgamv(i) = brint*vx(i,1)
else
pblflg(i) = .false.
endif
enddo
!
! enhance the pbl height by considering the thermal
!
do i = its,ite
if(pblflg(i))then
kpbl(i) = 1
hpbl(i) = zq(i,1)
endif
enddo
!
do i = its,ite
if(pblflg(i))then
stable(i) = .false.
brup(i) = br(i)
brcr(i) = brcr_ub
endif
enddo
!
do k = 2,klpbl
do i = its,ite
if(.not.stable(i).and.pblflg(i))then
brdn(i) = brup(i)
spdk2 = max(ux(i,k)**2+vx(i,k)**2,1.)
brup(i) = (thvx(i,k)-thermal(i))*(g*za(i,k)/thvx(i,1))/spdk2
kpbl(i) = k
stable(i) = brup(i).gt.brcr(i)
endif
enddo
enddo
!
! enhance pbl by theta-li
!
if (ysu_topdown_pblmix.eq.1)then
do i = its,ite
kpblold(i) = kpbl(i)
definebrup=.false.
do k = kpblold(i), kte-1
spdk2 = max(ux(i,k)**2+vx(i,k)**2,1.)
bruptmp = (thlix(i,k)-thermalli(i))*(g*za(i,k)/thlix(i,1))/spdk2
stable(i) = bruptmp.ge.brcr(i)
if (definebrup) then
kpbl(i) = k
brup(i) = bruptmp
definebrup=.false.
endif
if (.not.stable(i)) then !overwrite brup brdn values
brdn(i)=bruptmp
definebrup=.true.
pblflg(i)=.true.
endif
enddo
enddo
endif
do i = its,ite
if(pblflg(i)) then
k = kpbl(i)
if(brdn(i).ge.brcr(i))then
brint = 0.
elseif(brup(i).le.brcr(i))then
brint = 1.
else
brint = (brcr(i)-brdn(i))/(brup(i)-brdn(i))
endif
hpbl(i) = za(i,k-1)+brint*(za(i,k)-za(i,k-1))
if(hpbl(i).lt.zq(i,2)) kpbl(i) = 1
if(kpbl(i).le.1) pblflg(i) = .false.
endif
enddo
!
! stable boundary layer
!
do i = its,ite
if((.not.sfcflg(i)).and.hpbl(i).lt.zq(i,2)) then
brup(i) = br(i)
stable(i) = .false.
else
stable(i) = .true.
endif
enddo
!
do i = its,ite
if((.not.stable(i)).and.((xland(i)-1.5).ge.0))then
wspd10 = u10(i)*u10(i) + v10(i)*v10(i)
wspd10 = sqrt(wspd10)
ross = wspd10 / (cori*znt(i))
brcr_sbro(i) = min(0.16*(1.e-7*ross)**(-0.18),.3)
endif
enddo
!
do i = its,ite
if(.not.stable(i))then
if((xland(i)-1.5).ge.0)then
brcr(i) = brcr_sbro(i)
else
brcr(i) = brcr_sb
endif
endif
enddo
!
do k = 2,klpbl
do i = its,ite
if(.not.stable(i))then
brdn(i) = brup(i)
spdk2 = max(ux(i,k)**2+vx(i,k)**2,1.)
brup(i) = (thvx(i,k)-thermal(i))*(g*za(i,k)/thvx(i,1))/spdk2
kpbl(i) = k
stable(i) = brup(i).gt.brcr(i)
endif
enddo
enddo
!
do i = its,ite
if((.not.sfcflg(i)).and.hpbl(i).lt.zq(i,2)) then
k = kpbl(i)
if(brdn(i).ge.brcr(i))then
brint = 0.
elseif(brup(i).le.brcr(i))then
brint = 1.
else
brint = (brcr(i)-brdn(i))/(brup(i)-brdn(i))
endif
hpbl(i) = za(i,k-1)+brint*(za(i,k)-za(i,k-1))
if(hpbl(i).lt.zq(i,2)) kpbl(i) = 1
if(kpbl(i).le.1) pblflg(i) = .false.
endif
enddo
!
! estimate the entrainment parameters
!
do i = its,ite
cloudflg(i)=.false.
if(pblflg(i)) then
k = kpbl(i) - 1
wm3 = wstar3(i) + 5. * ust3(i)
wm2(i) = wm3**h2
bfxpbl(i) = -0.15*thvx(i,1)/g*wm3/hpbl(i)
dthvx(i) = max(thvx(i,k+1)-thvx(i,k),tmin)
we(i) = max(bfxpbl(i)/dthvx(i),-sqrt(wm2(i)))
if((qcxl(i,k)+qixl(i,k)).gt.0.01e-3.and.ysu_topdown_pblmix.eq.1)then
if ( kpbl(i) .ge. 2) then
cloudflg(i)=.true.
templ=thlix(i,k)*(p2di(i,k+1)/100000)**rovcp
!rvls is ws at full level
rvls=100.*6.112*EXP(17.67*(templ-273.16)/(templ-29.65))*(ep2/p2di(i,k+1))
temps=templ + ((qvx(i,k)+qcxl(i,k))-rvls)/(cp/xlv + &
ep2*xlv*rvls/(rd*templ**2))
rvls=100.*6.112*EXP(17.67*(temps-273.15)/(temps-29.65))*(ep2/p2di(i,k+1))
rcldb=max((qvx(i,k)+qcxl(i,k))-rvls,0.)
!entrainment efficiency
dthvx(i) = (thlix(i,k+2)+thx(i,k+2)*ep1*(qvx(i,k+2)+qcxl(i,k+2))) &
- (thlix(i,k) + thx(i,k) *ep1*(qvx(i,k) +qcxl(i,k)))
dthvx(i) = max(dthvx(i),0.1)
tmp1 = xlv/cp * rcldb/(pi2d(i,k)*dthvx(i))
ent_eff = 0.2 * 8. * tmp1 +0.2
radsum=0.
do kk = 1,kpbl(i)-1
radflux=rthraten(i,kk)*pi2d(i,kk) !converts theta/s to temp/s
radflux=radflux*cp/g*(p2di(i,kk)-p2di(i,kk+1)) ! converts temp/s to W/m^2
if (radflux < 0.0 ) radsum=abs(radflux)+radsum
enddo
radsum=max(radsum,0.0)
!recompute entrainment from sfc thermals
bfx0 = max(max(sflux(i),0.0)-radsum/rhox2(i,k)/cp,0.)
bfx0 = max(sflux(i),0.0)
wm3 = (govrth(i)*bfx0*hpbl(i))+5. * ust3(i)
wm2(i) = wm3**h2
bfxpbl(i) = -0.15*thvx(i,1)/g*wm3/hpbl(i)
dthvx(i) = max(thvx(i,k+1)-thvx(i,k),tmin)
we(i) = max(bfxpbl(i)/dthvx(i),-sqrt(wm2(i)))
!entrainment from PBL top thermals
bfx0 = max(radsum/rhox2(i,k)/cp-max(sflux(i),0.0),0.)
bfx0 = max(radsum/rhox2(i,k)/cp,0.)
wm3 = (g/thvx(i,k)*bfx0*hpbl(i)) ! this is wstar3(i)
wm2(i) = wm2(i)+wm3**h2
bfxpbl(i) = - ent_eff * bfx0
dthvx(i) = max(thvx(i,k+1)-thvx(i,k),0.1)
we(i) = we(i) + max(bfxpbl(i)/dthvx(i),-sqrt(wm3**h2))
!wstar3_2
bfx0 = max(radsum/rhox2(i,k)/cp,0.)
wstar3_2(i) = (g/thvx(i,k)*bfx0*hpbl(i))
!recompute hgamt
wscale(i) = (ust3(i)+phifac*karman*(wstar3(i)+wstar3_2(i))*0.5)**h1
wscale(i) = min(wscale(i),ust(i)*aphi16)
wscale(i) = max(wscale(i),ust(i)/aphi5)
gamfac = bfac/rhox(i)/wscale(i)
hgamt(i) = min(gamfac*hfx(i)/cp,gamcrt)
hgamq(i) = min(gamfac*qfx(i),gamcrq)
gamfac = bfac/rhox2(i,k)/wscale(i)
hgamt2(i,k) = min(gamfac*radsum/cp,gamcrt)
hgamt(i) = max(hgamt(i),0.0) + max(hgamt2(i,k),0.0)
brint = -15.9*ust(i)*ust(i)/wspd(i)*(wstar3(i)+wstar3_2(i))/(wscale(i)**4.)
hgamu(i) = brint*ux(i,1)
hgamv(i) = brint*vx(i,1)
endif
endif
prpbl(i) = 1.0
dthx = max(thx(i,k+1)-thx(i,k),tmin)
dqx = min(qvx(i,k+1)-qvx(i,k),0.0)
hfxpbl(i) = we(i)*dthx
qfxpbl(i) = we(i)*dqx
!
dux = ux(i,k+1)-ux(i,k)
dvx = vx(i,k+1)-vx(i,k)
if(dux.gt.tmin) then
ufxpbl(i) = max(prpbl(i)*we(i)*dux,-ust(i)*ust(i))
elseif(dux.lt.-tmin) then
ufxpbl(i) = min(prpbl(i)*we(i)*dux,ust(i)*ust(i))
else
ufxpbl(i) = 0.0
endif
if(dvx.gt.tmin) then
vfxpbl(i) = max(prpbl(i)*we(i)*dvx,-ust(i)*ust(i))
elseif(dvx.lt.-tmin) then
vfxpbl(i) = min(prpbl(i)*we(i)*dvx,ust(i)*ust(i))
else
vfxpbl(i) = 0.0
endif
delb = govrth(i)*d3*hpbl(i)
delta(i) = min(d1*hpbl(i) + d2*wm2(i)/delb,100.)
endif
enddo
!
do k = kts,klpbl
do i = its,ite
if(pblflg(i).and.k.ge.kpbl(i))then
entfac(i,k) = ((zq(i,k+1)-hpbl(i))/delta(i))**2.
else
entfac(i,k) = 1.e30
endif
enddo
enddo
!
! compute diffusion coefficients below pbl
!
do k = kts,klpbl
do i = its,ite
if(k.lt.kpbl(i)) then
zfac(i,k) = min(max((1.-(zq(i,k+1)-zl1(i))/(hpbl(i)-zl1(i))),zfmin),1.)
zfacent(i,k) = (1.-zfac(i,k))**3.
wscalek(i,k) = (ust3(i)+phifac*karman*wstar3(i)*(1.-zfac(i,k)))**h1
wscalek2(i,k) = (phifac*karman*wstar3_2(i)*(zfac(i,k)))**h1
if(sfcflg(i)) then
prfac = conpr
prfac2 = 15.9*(wstar3(i)+wstar3_2(i))/ust3(i)/(1.+4.*karman*(wstar3(i)+wstar3_2(i))/ust3(i))
prnumfac = -3.*(max(zq(i,k+1)-sfcfrac*hpbl(i),0.))**2./hpbl(i)**2.
else
prfac = 0.
prfac2 = 0.
prnumfac = 0.
phim8z = 1.+aphi5*zol1(i)*zq(i,k+1)/zl1(i)
wscalek(i,k) = ust(i)/phim8z
wscalek(i,k) = max(wscalek(i,k),0.001)
endif
prnum0 = (phih(i)/phim(i)+prfac)
prnum0 = max(min(prnum0,prmax),prmin)
xkzm(i,k) = wscalek(i,k) *karman* zq(i,k+1) * zfac(i,k)**pfac+ &
wscalek2(i,k)*karman*(hpbl(i)-zq(i,k+1))*(1-zfac(i,k))**pfac
!Do not include xkzm at kpbl-1 since it changes entrainment
if (k.eq.kpbl(i)-1.and.cloudflg(i).and.we(i).lt.0.0) then
xkzm(i,k) = 0.0
endif
prnum = 1. + (prnum0-1.)*exp(prnumfac)
xkzq(i,k) = xkzm(i,k)/prnum*zfac(i,k)**(pfac_q-pfac)
prnum0 = prnum0/(1.+prfac2*karman*sfcfrac)
prnum = 1. + (prnum0-1.)*exp(prnumfac)
xkzh(i,k) = xkzm(i,k)/prnum
xkzm(i,k) = xkzm(i,k)+xkzom(i,k)
xkzh(i,k) = xkzh(i,k)+xkzoh(i,k)
xkzq(i,k) = xkzq(i,k)+xkzoh(i,k)
xkzm(i,k) = min(xkzm(i,k),xkzmax)
xkzh(i,k) = min(xkzh(i,k),xkzmax)
xkzq(i,k) = min(xkzq(i,k),xkzmax)
endif
enddo
enddo
!
! compute diffusion coefficients over pbl (free atmosphere)
!
do k = kts,kte-1
do i = its,ite
if(k.ge.kpbl(i)) then
ss = ((ux(i,k+1)-ux(i,k))*(ux(i,k+1)-ux(i,k)) &
+(vx(i,k+1)-vx(i,k))*(vx(i,k+1)-vx(i,k))) &
/(dza(i,k+1)*dza(i,k+1))+1.e-9
govrthv = g/(0.5*(thvx(i,k+1)+thvx(i,k)))
ri = govrthv*(thvx(i,k+1)-thvx(i,k))/(ss*dza(i,k+1))
if(imvdif.eq.1)then
if((qcxl(i,k)+qixl(i,k)).gt.0.01e-3.and. &
(qcxl(i,k+1)+qixl(i,k+1)).gt.0.01e-3)then
! in cloud
qmean = 0.5*(qvx(i,k)+qvx(i,k+1))
tmean = 0.5*(tx(i,k)+tx(i,k+1))
alph = xlv*qmean/rd/tmean
chi = xlv*xlv*qmean/cp/rv/tmean/tmean
ri = (1.+alph)*(ri-g*g/ss/tmean/cp*((chi-alph)/(1.+chi)))
endif
endif
zk = karman*zq(i,k+1)
rlamdz = min(max(0.1*dza(i,k+1),rlam),300.)
rlamdz = min(dza(i,k+1),rlamdz)
rl2 = (zk*rlamdz/(rlamdz+zk))**2
dk = rl2*sqrt(ss)
if(ri.lt.0.)then
! unstable regime
ri = max(ri, rimin)
sri = sqrt(-ri)
xkzm(i,k) = dk*(1+8.*(-ri)/(1+1.746*sri))
xkzh(i,k) = dk*(1+8.*(-ri)/(1+1.286*sri))
else
! stable regime
xkzh(i,k) = dk/(1+5.*ri)**2
prnum = 1.0+2.1*ri
prnum = min(prnum,prmax)
xkzm(i,k) = xkzh(i,k)*prnum
endif
!
xkzm(i,k) = xkzm(i,k)+xkzom(i,k)
xkzh(i,k) = xkzh(i,k)+xkzoh(i,k)
xkzm(i,k) = min(xkzm(i,k),xkzmax)
xkzh(i,k) = min(xkzh(i,k),xkzmax)
xkzml(i,k) = xkzm(i,k)
xkzhl(i,k) = xkzh(i,k)
endif
enddo
enddo
!
! compute tridiagonal matrix elements for heat
!
do k = kts,kte
do i = its,ite
au(i,k) = 0.
al(i,k) = 0.
ad(i,k) = 0.
f1(i,k) = 0.
enddo
enddo
!