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module_bl_shinhong.F
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!WRF:model_layer:physics
!
module module_bl_shinhong
!
contains
!
!-------------------------------------------------------------------------------
!
subroutine shinhong(u3d,v3d,th3d,t3d,qv3d,qc3d,qi3d,p3d,p3di,pi3d, &
rublten,rvblten,rthblten, &
rqvblten,rqcblten,rqiblten,flag_qi, &
cp,g,rovcp,rd,rovg,ep1,ep2,karman,xlv,rv, &
dz8w,psfc, &
znu,znw,p_top, &
znt,ust,hpbl,psim,psih, &
xland,hfx,qfx,wspd,br, &
dt,kpbl2d, &
exch_h, &
u10,v10, &
shinhong_tke_diag,tke_pbl,el_pbl,corf, &
dx,dy, &
ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte, &
!optional
ctopo,ctopo2, &
wstar,delta, &
regime )
!-------------------------------------------------------------------------------
implicit none
!-------------------------------------------------------------------------------
!-- u3d 3d u-velocity interpolated to theta points (m/s)
!-- v3d 3d v-velocity interpolated to theta points (m/s)
!-- th3d 3d potential temperature (k)
!-- t3d temperature (k)
!-- qv3d 3d water vapor mixing ratio (kg/kg)
!-- qc3d 3d cloud mixing ratio (kg/kg)
!-- qi3d 3d ice mixing ratio (kg/kg)
! (note: if P_QI<PARAM_FIRST_SCALAR this should be zero filled)
!-- p3d 3d pressure (pa)
!-- p3di 3d pressure (pa) at interface level
!-- pi3d 3d exner function (dimensionless)
!-- rublten u tendency due to
! pbl parameterization (m/s/s)
!-- rvblten v tendency due to
! pbl parameterization (m/s/s)
!-- rthblten theta tendency due to
! pbl parameterization (K/s)
!-- rqvblten qv tendency due to
! pbl parameterization (kg/kg/s)
!-- rqcblten qc tendency due to
! pbl parameterization (kg/kg/s)
!-- rqiblten qi tendency due to
! pbl parameterization (kg/kg/s)
!-- cp heat capacity at constant pressure for dry air (j/kg/k)
!-- g acceleration due to gravity (m/s^2)
!-- rovcp r/cp
!-- rd gas constant for dry air (j/kg/k)
!-- rovg r/g
!-- ep1 constant for virtual temperature (r_v/r_d - 1)
!-- ep2 constant for specific humidity calculation
!-- karman von karman constant
!-- xlv latent heat of vaporization (j/kg)
!-- rv gas constant for water vapor (j/kg/k)
!-- dz8w dz between full levels (m)
!-- psfc pressure at the surface (pa)
!-- znu eta values on half (mass) levels
!-- znw eta values on full (w) levels
!-- p_top pressure top of the model (pa)
!-- znt roughness length (m)
!-- ust u* in similarity theory (m/s)
!-- hpbl pbl height (m)
!-- psim similarity stability function for momentum
!-- psih similarity stability function for heat
!-- xland land mask (1 for land, 2 for water)
!-- hfx upward heat flux at the surface (w/m^2)
!-- qfx upward moisture flux at the surface (kg/m^2/s)
!-- wspd wind speed at lowest model level (m/s)
!-- br bulk richardson number in surface layer
!-- u10 u-wind speed at 10 m (m/s)
!-- v10 v-wind speed at 10 m (m/s)
!-- dt time step (s)
!-- ids start index for i in domain
!-- ide end index for i in domain
!-- jds start index for j in domain
!-- jde end index for j in domain
!-- kds start index for k in domain
!-- kde end index for k in domain
!-- ims start index for i in memory
!-- ime end index for i in memory
!-- jms start index for j in memory
!-- jme end index for j in memory
!-- kms start index for k in memory
!-- kme end index for k in memory
!-- its start index for i in tile
!-- ite end index for i in tile
!-- jts start index for j in tile
!-- jte end index for j in tile
!-- kts start index for k in tile
!-- kte end index for k in tile
!-------------------------------------------------------------------------------
!
integer,parameter :: ndiff = 3
real,parameter :: rcl = 1.0
!
integer, intent(in ) :: ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte
integer, intent(in ) :: shinhong_tke_diag
!
real, intent(in ) :: dt,cp,g,rovcp,rovg,rd,xlv,rv
real, intent(in ) :: ep1,ep2,karman
real, intent(in ) :: dx,dy
!
integer, dimension( ims:ime, jms:jme ) , &
intent(out ) :: kpbl2d
!
real, dimension( ims:ime, kms:kme, jms:jme ) , &
intent(in ) :: u3d, &
v3d
real, dimension( ims:ime, kms:kme, jms:jme ) , &
intent(in ) :: qv3d, &
qc3d, &
qi3d, &
p3d, &
pi3d, &
th3d, &
t3d, &
dz8w
real, dimension( ims:ime, kms:kme, jms:jme ) , &
intent(in ) :: p3di
!
real, dimension( ims:ime, kms:kme, jms:jme ) , &
intent(inout) :: rublten, &
rvblten, &
rthblten, &
rqvblten, &
rqcblten
real, dimension( ims:ime, kms:kme, jms:jme ) , &
intent(inout) :: exch_h
real, dimension( ims:ime, kms:kme, jms:jme ) , &
intent(inout) :: tke_pbl, &
el_pbl
!
real, dimension( ims:ime, jms:jme ) , &
intent(in ) :: xland, &
hfx, &
qfx, &
corf, &
br, &
psfc
real, dimension( ims:ime, jms:jme ) , &
intent(in ) :: &
psim, &
psih
!
real, dimension( ims:ime, jms:jme ) , &
intent(inout) :: u10, &
v10
real, dimension( ims:ime, jms:jme ) , &
intent(inout) :: znt, &
ust, &
hpbl, &
wspd
!
logical, intent(in) :: flag_qi
!
! optional
!
real, dimension( ims:ime, kms:kme, jms:jme ) , &
intent(inout), optional :: rqiblten
!
real, dimension( ims:ime, jms:jme ) , &
intent(inout), optional :: wstar, &
delta
real, dimension( ims:ime, jms:jme ) , &
intent(inout), optional :: regime
!
real, dimension( ims:ime, jms:jme ) , &
intent(in ), optional :: ctopo, &
ctopo2
!
real, dimension( kms:kme ) , &
intent(in ), optional :: znu, &
znw
!
real, optional, intent(in ) :: p_top
!
! local
!
integer :: i,j,k
real, dimension( its:ite, kts:kte*ndiff ) :: rqvbl2dt, &
qv2d
real, dimension( its:ite, kts:kte ) :: pdh
real, dimension( its:ite, kts:kte+1 ) :: pdhi
real, dimension( its:ite ) :: &
dusfc, &
dvsfc, &
dtsfc, &
dqsfc
!
qv2d(its:ite,:) = 0.0
!
do j = jts,jte
do k = kts,kte+1
do i = its,ite
if(k.le.kte)pdh(i,k) = p3d(i,k,j)
pdhi(i,k) = p3di(i,k,j)
enddo
enddo
do k = kts,kte
do i = its,ite
qv2d(i,k) = qv3d(i,k,j)
qv2d(i,k+kte) = qc3d(i,k,j)
if(present(rqiblten)) qv2d(i,k+kte+kte) = qi3d(i,k,j)
enddo
enddo
!
call shinhong2d(J=j,ux=u3d(ims,kms,j),vx=v3d(ims,kms,j) &
,tx=t3d(ims,kms,j) &
,qx=qv2d(its,kts) &
,p2d=pdh(its,kts),p2di=pdhi(its,kts) &
,pi2d=pi3d(ims,kms,j) &
,utnp=rublten(ims,kms,j),vtnp=rvblten(ims,kms,j) &
,ttnp=rthblten(ims,kms,j),qtnp=rqvbl2dt(its,kts),ndiff=ndiff &
,cp=cp,g=g,rovcp=rovcp,rd=rd,rovg=rovg &
,xlv=xlv,rv=rv &
,ep1=ep1,ep2=ep2,karman=karman &
,dz8w2d=dz8w(ims,kms,j) &
,psfcpa=psfc(ims,j),znt=znt(ims,j),ust=ust(ims,j) &
,hpbl=hpbl(ims,j) &
,regime=regime(ims,j),psim=psim(ims,j) &
,psih=psih(ims,j),xland=xland(ims,j) &
,hfx=hfx(ims,j),qfx=qfx(ims,j) &
,wspd=wspd(ims,j),br=br(ims,j) &
,dusfc=dusfc,dvsfc=dvsfc,dtsfc=dtsfc,dqsfc=dqsfc &
,dt=dt,rcl=1.0,kpbl1d=kpbl2d(ims,j) &
,exch_hx=exch_h(ims,kms,j) &
,wstar=wstar(ims,j) &
,delta=delta(ims,j) &
,u10=u10(ims,j),v10=v10(ims,j) &
,ctopo=ctopo(ims,j),ctopo2=ctopo2(ims,j) &
,shinhong_tke_diag=shinhong_tke_diag &
,tke=tke_pbl(ims,kms,j),el_pbl=el_pbl(ims,kms,j) &
,corf=corf(ims,j) &
,dx=dx,dy=dy &
,ids=ids,ide=ide, jds=jds,jde=jde, kds=kds,kde=kde &
,ims=ims,ime=ime, jms=jms,jme=jme, kms=kms,kme=kme &
,its=its,ite=ite, jts=jts,jte=jte, kts=kts,kte=kte )
!
do k = kts,kte
do i = its,ite
rthblten(i,k,j) = rthblten(i,k,j)/pi3d(i,k,j)
rqvblten(i,k,j) = rqvbl2dt(i,k)
rqcblten(i,k,j) = rqvbl2dt(i,k+kte)
if(present(rqiblten)) rqiblten(i,k,j) = rqvbl2dt(i,k+kte+kte)
enddo
enddo
!
enddo
!
end subroutine shinhong
!-------------------------------------------------------------------------------
!
!-------------------------------------------------------------------------------
subroutine shinhong2d(j,ux,vx,tx,qx,p2d,p2di,pi2d, &
utnp,vtnp,ttnp,qtnp,ndiff, &
cp,g,rovcp,rd,rovg,ep1,ep2,karman,xlv,rv, &
dz8w2d,psfcpa, &
znt,ust,hpbl,psim,psih, &
xland,hfx,qfx,wspd,br, &
dusfc,dvsfc,dtsfc,dqsfc, &
dt,rcl,kpbl1d, &
exch_hx, &
wstar,delta, &
shinhong_tke_diag, &
tke,el_pbl,corf, &
u10,v10, &
ctopo,ctopo2, &
dx,dy, &
ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte, &
!optional
regime )
!-------------------------------------------------------------------------------
implicit none
!-------------------------------------------------------------------------------
!
! the shinhongpbl (shin and hong 2015) is based on the les study of shin
! and hong (2013). the major ingredients of the shinhongpbl are
! 1) the prescribed nonlocal heat transport profile fit to the les and
! 2) inclusion of explicit scale dependency functions for vertical
! transport in convective pbl.
! so, the shinhongpbl works at the gray zone resolution of convective pbl.
! note that honnert et al. (2011) first suggested explicit scale dependency
! function, and shin and hong (2013) further classified the function by
! stability (u*/w*) in convective pbl and calculated the function for
! nonlocal and local transport separately.
! vertical mixing in the stable boundary layer and free atmosphere follows
! hong (2010) and hong et al. (2006), same as the ysupbl scheme.
!
! shinhongpbl:
! coded and implemented by hyeyum hailey shin (ncar)
! summer 2014
!
! ysupbl:
! coded by song-you hong (yonsei university) and implemented by
! song-you hong (yonsei university) and jimy dudhia (ncar)
! summer 2002
!
! references:
! shin and hong (2015) mon. wea. rev.
! shin and hong (2013) j. atmos. sci.
! honnert, masson, and couvreux (2011) j. atmos. sci.
! hong (2010) quart. j. roy. met. soc
! hong, noh, and dudhia (2006), mon. wea. rev.
!
!-------------------------------------------------------------------------------
!
real,parameter :: xkzminm = 0.1,xkzminh = 0.01
real,parameter :: xkzmax = 1000.,rimin = -100.
real,parameter :: rlam = 30.,prmin = 0.25,prmax = 4.
real,parameter :: brcr_ub = 0.0,brcr_sb = 0.25,cori = 1.e-4
real,parameter :: afac = 6.8,bfac = 6.8,pfac = 2.0,pfac_q = 2.0
real,parameter :: phifac = 8.,sfcfrac = 0.1
real,parameter :: d1 = 0.02, d2 = 0.05, d3 = 0.001
real,parameter :: h1 = 0.33333333, h2 = 0.6666667
real,parameter :: ckz = 0.001,zfmin = 1.e-8,aphi5 = 5.,aphi16 = 16.
real,parameter :: tmin=1.e-2
real,parameter :: gamcrt = 3.,gamcrq = 2.e-3
real,parameter :: xka = 2.4e-5
integer,parameter :: imvdif = 1
!
! tunable parameters for tke
!
real,parameter :: epsq2l = 0.01,c_1 = 1.0,gamcre = 0.224
!
! tunable parameters for prescribed nonlocal transport profile
!
real,parameter :: mltop = 1.0,sfcfracn1 = 0.075
real,parameter :: nlfrac = 0.7,enlfrac = -0.4
real,parameter :: a11 = 1.0,a12 = -1.15
real,parameter :: ezfac = 1.5
real,parameter :: cpent = -0.4,rigsmax = 100.
real,parameter :: entfmin = 1.0, entfmax = 5.0
!
integer, intent(in ) :: ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte, &
j,ndiff
integer, intent(in ) :: shinhong_tke_diag
!
real, intent(in ) :: dt,rcl,cp,g,rovcp,rovg,rd,xlv,rv
real, intent(in ) :: ep1,ep2,karman
real, intent(in ) :: dx,dy
!
integer, dimension( ims:ime ) , &
intent(out ) :: kpbl1d
!
real, dimension( ims:ime, kms:kme ) , &
intent(in ) :: dz8w2d, &
pi2d
real, dimension( ims:ime, kms:kme ) , &
intent(in ) :: ux, &
vx
real, dimension( ims:ime, kms:kme ) , &
intent(in ) :: tx
!
real, dimension( its:ite, kts:kte*ndiff ) , &
intent(in ) :: qx
real, dimension( its:ite, kts:kte+1 ) , &
intent(in ) :: p2di
real, dimension( its:ite, kts:kte ) , &
intent(in ) :: p2d
!
real, dimension( ims:ime, kms:kme ) , &
intent(inout) :: utnp, &
vtnp, &
ttnp
real, dimension( ims:ime, kms:kme ) , &
intent(inout) :: exch_hx
real, dimension( ims:ime, kms:kme ) , &
intent(inout) :: tke, &
el_pbl
real, dimension( its:ite, kts:kte*ndiff ) , &
intent(inout) :: qtnp
!
real, dimension( ims:ime ) , &
intent(in ) :: xland, &
hfx, &
qfx
real, dimension( ims:ime ) , &
intent(in ) :: br, &
psim, &
psih, &
psfcpa
real, dimension( ims:ime ) , &
intent(in ) :: corf
!
real, dimension( ims:ime ) , &
intent(inout) :: ust, &
hpbl, &
znt
real, dimension( ims:ime ) , &
intent(inout) :: wspd
real, dimension( ims:ime ) , &
intent(inout) :: u10, &
v10
!
real, dimension( ims:ime ) , &
optional , &
intent(in ) :: ctopo, &
ctopo2
real, dimension( ims:ime ) , &
optional , &
intent(inout) :: regime
real, dimension( its:ite ) , &
intent(out ) :: wstar, &
delta
!
! local vars
!
integer :: n,i,k,l,ic,is,nwmass
integer :: klpbl, kqc, kqi
integer :: lmh,lmxl
!
real :: dt2,rdt,spdk2,fm,fh,hol1,gamfac,vpert,prnum,prnum0
real :: ss,ri,qmean,tmean,alpha,chi,zk,rl2,dk,sri
real :: brint,dtodsd,dtodsu,rdz,dsdzt,dsdzq,dsdz2,rlamdz
real :: utend,vtend,ttend,qtend
real :: dtstep,govrthv
real :: cont, conq, conw, conwrc
real :: delxy,pu1,pth1,pq1
real :: dex,hgame_c
real :: zfacdx
real :: amf1,amf2,bmf2,amf3,bmf3,amf4,bmf4,sflux0,snlflux0
real :: mlfrac,ezfrac,sfcfracn
real :: uwst,uwstx,csfac
real :: prnumfac,bfx0,hfx0,qfx0,delb,dux,dvx, &
dsdzu,dsdzv,wm3,dthx,dqx,wspd10,ross,tem1,dsig,tvcon,conpr, &
prfac,prfac2,phim8z
real :: cenlfrac
!
integer, dimension( its:ite ) :: kpbl
real, dimension( its:ite ) :: hol
real, dimension( its:ite ) :: deltaoh
real, dimension( its:ite ) :: rigs, &
enlfrac2, &
cslen
real, dimension( its:ite ) :: &
rhox, &
govrth, &
zl1,thermal, &
wscale, &
hgamt,hgamq, &
brdn,brup, &
phim,phih, &
dusfc,dvsfc, &
dtsfc,dqsfc, &
prpbl, &
wspd1
real, dimension( its:ite ) :: &
ust3, &
wstar3, &
hgamu,hgamv, &
wm2, we, &
bfxpbl, &
hfxpbl,qfxpbl, &
ufxpbl,vfxpbl, &
dthvx
real, dimension( its:ite ) :: &
brcr, &
sflux, &
zol1, &
brcr_sbro
real, dimension( its:ite ) :: &
efxpbl, &
hpbl_cbl, &
epshol, &
ct
!
real, dimension( its:ite, kts:kte ) :: xkzm,xkzh, &
f1,f2, &
r1,r2, &
ad,au, &
cu, &
al, &
xkzq, &
zfac
real, dimension( its:ite, kts:kte ) :: &
thx,thvx, &
del, &
dza, &
dzq, &
xkzom, &
xkzoh, &
za
real, dimension( its:ite, kts:kte ) :: &
wscalek
real, dimension( its:ite, kts:kte ) :: &
xkzml,xkzhl, &
zfacent,entfac
real, dimension( its:ite, kts:kte ) :: &
mf, &
zfacmf, &
entfacmf
real, dimension( its:ite, kts:kte ) :: &
q2x, &
hgame2d, &
tflux_e, &
qflux_e, &
tvflux_e
real, dimension( its:ite, kts:kte+1 ) :: zq
real, dimension( its:ite, kts:kte, ndiff ) :: r3,f3
!
real, dimension( kts:kte ) :: &
uxk,vxk, &
txk,thxk,thvxk, &
q2xk, &
hgame
real, dimension( kts:kte ) :: &
ps1d,pb1d,eps1d,pt1d, &
xkze1d,eflx_l1d,eflx_nl1d, &
ptke1
real, dimension( kts+1:kte ) :: &
s2,gh,rig,el, &
akmk,akhk, &
mfk,ufxpblk,vfxpblk,qfxpblk
real, dimension( kts:kte+1 ) :: zqk
real, dimension( kts:kte*ndiff ) :: qxk
!
logical, dimension( its:ite ) :: pblflg, &
sfcflg, &
stable
logical, dimension( ndiff ) :: ifvmix
!
!-------------------------------------------------------------------------------
!
klpbl = kte
lmh = 1
lmxl = 1
!
cont=cp/g
conq=xlv/g
conw=1./g
conwrc = conw*sqrt(rcl)
conpr = bfac*karman*sfcfrac
!
! k-start index for cloud and rain
!
kqc = 1 + kte
kqi = 1 + kte*2
nwmass = 3
ifvmix(:) = .true.
!
do k = kts,kte
do i = its,ite
thx(i,k) = tx(i,k)/pi2d(i,k)
enddo
enddo
!
do k = kts,kte
do i = its,ite
tvcon = (1.+ep1*qx(i,k))
thvx(i,k) = thx(i,k)*tvcon
enddo
enddo
!
do i = its,ite
tvcon = (1.+ep1*qx(i,1))
rhox(i) = psfcpa(i)/(rd*tx(i,1)*tvcon)
govrth(i) = g/thx(i,1)
enddo
!
!-----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)
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 vertical tendencies and
!
utnp(its:ite,:) = 0.
vtnp(its:ite,:) = 0.
ttnp(its:ite,:) = 0.
qtnp(its:ite,:) = 0.
!
do i = its,ite
wspd1(i) = sqrt(ux(i,1)*ux(i,1)+vx(i,1)*vx(i,1))+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
enddo
!
do i = its,ite
efxpbl(i) = 0.0
hpbl_cbl(i) = 0.0
epshol(i) = 0.0
ct(i) = 0.0
enddo
!
do i = its,ite
deltaoh(i) = 0.0
rigs(i) = 0.0
enlfrac2(i) = 0.0
cslen(i) = 0.0
enddo
!
do k = kts,klpbl
do i = its,ite
wscalek(i,k) = 0.0
enddo
enddo
!
do k = kts,klpbl
do i = its,ite
zfac(i,k) = 0.0
enddo
enddo
!
do k = kts,kte
do i = its,ite
q2x(i,k) = 2.*tke(i,k)
enddo
enddo
!
do k = kts,kte
do i = its,ite
el_pbl(i,k) = 0.0
hgame2d(i,k) = 0.0
tflux_e(i,k) = 0.0
qflux_e(i,k) = 0.0
tvflux_e(i,k) = 0.0
enddo
enddo
!
do k = kts,kte
do i = its,ite
mf(i,k) = 0.0
zfacmf(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)
hpbl_cbl(i) = zq(i,1)
zl1(i) = za(i,1)
thermal(i)= thvx(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
epshol(i) = hol1
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)
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
!
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.
if (wstar(i) .ne. 0) then
uwst = abs(ust(i)/wstar(i)-0.5)
uwstx = -80.*uwst+14.
csfac = 0.5*(tanh(uwstx)+3.)
else
csfac = 1
endif
cslen(i) = csfac*hpbl(i)
endif
enddo
!
! stable boundary layer
!
do i = its,ite
hpbl_cbl(i) = hpbl(i)
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
!
! scale dependency for nonlocal momentum and moisture transport
!
delxy=sqrt(dx*dy)
!
do i = its,ite
pu1=pu(delxy,cslen(i))
pq1=pq(delxy,cslen(i))
if(pblflg(i)) then
hgamu(i) = hgamu(i)*pu1
hgamv(i) = hgamv(i)*pu1
hgamq(i) = hgamq(i)*pq1
endif
enddo
!
! estimate the entrainment parameters
!
delxy=sqrt(dx*dy)
!
do i = its,ite
if(pblflg(i)) then
k = kpbl(i) - 1
prpbl(i) = 1.0
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)
dthx = max(thx(i,k+1)-thx(i,k),tmin)
dqx = min(qx(i,k+1)-qx(i,k),0.0)
we(i) = max(bfxpbl(i)/dthvx(i),-sqrt(wm2(i)))
hfxpbl(i) = we(i)*dthx
pq1=pq(delxy,cslen(i))
qfxpbl(i) = we(i)*dqx*pq1
!
pu1=pu(delxy,cslen(i))
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*pu1,-ust(i)*ust(i))
elseif(dux.lt.-tmin) then
ufxpbl(i) = min(prpbl(i)*we(i)*dux*pu1,ust(i)*ust(i))
else
ufxpbl(i) = 0.0
endif
if(dvx.gt.tmin) then
vfxpbl(i) = max(prpbl(i)*we(i)*dvx*pu1,-ust(i)*ust(i))
elseif(dvx.lt.-tmin) then
vfxpbl(i) = min(prpbl(i)*we(i)*dvx*pu1,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.)
delb = govrth(i)*dthvx(i)
deltaoh(i) = d1*hpbl(i) + d2*wm2(i)/delb
deltaoh(i) = max(ezfac*deltaoh(i),hpbl(i)-za(i,kpbl(i)-1)-1.)
deltaoh(i) = min(deltaoh(i) ,hpbl(i))
if ((dux .ne. 0) .or. (dvx .ne. 0)) then
rigs(i) = govrth(i)*dthvx(i)*deltaoh(i)/(dux**2.+dvx**2.)
else
rigs(i) = rigsmax
endif
rigs(i) = max(min(rigs(i), rigsmax),rimin)
if((rigs(i).gt.0) .and. (abs(rigs(i)+cpent) .le. 1.e-6))then
cenlfrac = entfmax
else
cenlfrac = rigs(i)/(rigs(i)+cpent)
endif
cenlfrac = min(cenlfrac,entfmax)
enlfrac2(i) = max(wm3/wstar3(i)*cenlfrac, entfmin)
enlfrac2(i) = enlfrac2(i)*enlfrac
endif
enddo
!
do k = kts,klpbl
do i = its,ite
if(pblflg(i))then
entfacmf(i,k) = sqrt(((zq(i,k+1)-hpbl(i))/deltaoh(i))**2.)
endif
if(pblflg(i).and.k.ge.kpbl(i))then
entfac(i,k) = ((zq(i,k+1)-hpbl(i))/deltaoh(i))**2.
else
entfac(i,k) = 1.e30
endif
enddo
enddo
!
! compute diffusion coefficients below pbl