MODULE module_mp_ncloud5 2
REAL, PARAMETER, PRIVATE :: dtcldcr = 240.
INTEGER, PARAMETER, PRIVATE :: mstepmax = 100
REAL, PARAMETER, PRIVATE :: r0 = .8e-5 ! 8 microm in contrast to 10 micro m
REAL, PARAMETER, PRIVATE :: n0r = 8.e6
REAL, PARAMETER, PRIVATE :: avtr = 841.9
REAL, PARAMETER, PRIVATE :: bvtr = 0.8
REAL, PARAMETER, PRIVATE :: peaut = .55 ! collection efficiency
REAL, PARAMETER, PRIVATE :: xncr = 3.e8 ! maritime cloud in contrast to 3.e8 in tc80
REAL, PARAMETER, PRIVATE :: xmyu = 1.718e-5 ! the dynamic viscosity kgm-1s-1
REAL, PARAMETER, PRIVATE :: avts = 16.2
REAL, PARAMETER, PRIVATE :: bvts = .527
REAL, PARAMETER, PRIVATE :: xncmax = 1.e8
REAL, PARAMETER, PRIVATE :: n0smax = 1.e9
REAL, PARAMETER, PRIVATE :: betai = .6
REAL, PARAMETER, PRIVATE :: xn0 = 1.e-2
REAL, PARAMETER, PRIVATE :: dicon = 16.3
REAL, PARAMETER, PRIVATE :: di0 = 12.9e-6*.8
REAL, PARAMETER, PRIVATE :: dimax = 400.e-6
REAL, PARAMETER, PRIVATE :: n0s = 2.e6 ! temperature dependent n0s
REAL, PARAMETER, PRIVATE :: alpha = 1./8.18 ! .122 exponen factor for n0s
REAL, PARAMETER, PRIVATE :: pfrz1 = 100.
REAL, PARAMETER, PRIVATE :: pfrz2 = 0.66
! REAL, PARAMETER, PRIVATE :: lamdarmax = 1.e15
REAL, PARAMETER, PRIVATE :: lamdarmax = 1.e5
REAL, PARAMETER, PRIVATE :: qcrmin = 1.e-6
REAL, PARAMETER, PRIVATE :: t40c = 233.16
REAL, PARAMETER, PRIVATE :: eacrc = 1.0
REAL, SAVE :: &
qc0, qck1,bvtr1,bvtr2,bvtr3,bvtr4,g1pbr,&
g3pbr,g4pbr,g5pbro2,pvtr,eacrr,pacrr, &
precr1,precr2,xm0,xmmax,bvts1, &
bvts2,bvts3,bvts4,g1pbs,g3pbs,g4pbs, &
g5pbso2,pvts,pacrs,precs1,precs2,pidn0r,&
pidn0s,xlv1,pacrc
CONTAINS
!===================================================================
!
SUBROUTINE ncloud5(th, q, qc, qr, qi, qs, & 1,1
w, den, pii, p, delz, rain, rainncv, &
delt,g, cpd, cpv, rd, rv, t0c, &
ep1, ep2, qmin, &
XLS, XLV0, XLF0, den0, denr, &
cliq,cice,psat, &
ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte )
!-------------------------------------------------------------------
IMPLICIT NONE
!-------------------------------------------------------------------
!
!Coded by Song-You Hong (NCEP) and implemented by Shuhua Chen (NCAR)
!
INTEGER, INTENT(IN ) :: ids,ide, jds,jde, kds,kde , &
ims,ime, jms,jme, kms,kme , &
its,ite, jts,jte, kts,kte
REAL, DIMENSION( ims:ime , kms:kme , jms:jme ), &
INTENT(INOUT) :: &
th, &
q, &
qc, &
qi, &
qr, &
qs
REAL, DIMENSION( ims:ime , kms:kme , jms:jme ), &
INTENT(IN ) :: w, &
den, &
pii, &
p, &
delz
REAL, DIMENSION( ims:ime , jms:jme ), &
INTENT(INOUT) :: rain, &
rainncv
REAL, INTENT(IN ) :: delt, &
g, &
rd, &
rv, &
t0c, &
den0, &
cpd, &
cpv, &
ep1, &
ep2, &
qmin, &
xls, &
xlv0, &
xlf0, &
cliq, &
cice, &
psat, &
denr
! LOCAL VAR
REAL, DIMENSION( its:ite , kts:kte ) :: t
REAL, DIMENSION( its:ite , kts:kte, 2 ) :: qci, qrs
INTEGER :: i,j,k
!-------------------------------------------------------------------
DO J=jts,jte
DO k=kts,kte
DO i=its,ite
t(i,k)=th(i,k,j)*pii(i,k,j)
qci(i,k,1) = qc(i,k,j)
qci(i,k,2) = qi(i,k,j)
qrs(i,k,1) = qr(i,k,j)
qrs(i,k,2) = qs(i,k,j)
ENDDO
ENDDO
CALL ncloud52D
(t, q(ims,kms,j), qci, qrs, &
w(ims,kms,j), den(ims,kms,j), &
p(ims,kms,j), delz(ims,kms,j), rain(ims,j), &
rainncv(ims,j),delt,g, cpd, cpv, rd, rv, t0c, &
ep1, ep2, qmin, &
XLS, XLV0, XLF0, den0, denr, &
cliq,cice,psat, &
j, &
ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte )
DO K=kts,kte
DO I=its,ite
th(i,k,j)=t(i,k)/pii(i,k,j)
qc(i,k,j) = qci(i,k,1)
qi(i,k,j) = qci(i,k,2)
qr(i,k,j) = qrs(i,k,1)
qs(i,k,j) = qrs(i,k,2)
ENDDO
ENDDO
ENDDO
END SUBROUTINE ncloud5
!===================================================================
!
SUBROUTINE ncloud52D(t, q, qci, qrs,w, den, p, delz, rain, & 1,4
rainncv,delt,g, cpd, cpv, rd, rv, t0c, &
ep1, ep2, qmin, &
XLS, XLV0, XLF0, den0, denr, &
cliq,cice,psat, &
lat, &
ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte )
!-------------------------------------------------------------------
IMPLICIT NONE
!-------------------------------------------------------------------
INTEGER, INTENT(IN ) :: ids,ide, jds,jde, kds,kde , &
ims,ime, jms,jme, kms,kme , &
its,ite, jts,jte, kts,kte, &
lat
REAL, DIMENSION( its:ite , kts:kte ), &
INTENT(INOUT) :: &
t
REAL, DIMENSION( its:ite , kts:kte, 2 ), &
INTENT(INOUT) :: &
qci, qrs
REAL, DIMENSION( ims:ime , kms:kme ), &
INTENT(INOUT) :: &
q
REAL, DIMENSION( ims:ime , kms:kme ), &
INTENT(IN ) :: p, &
w, &
den, &
delz
REAL, DIMENSION( ims:ime ), &
INTENT(INOUT) :: rain, &
rainncv
REAL, INTENT(IN ) :: delt, &
g, &
cpd, &
cpv, &
t0c, &
den0, &
rd, &
rv, &
ep1, &
ep2, &
qmin, &
xls, &
xlv0, &
xlf0, &
cliq, &
cice, &
psat, &
denr
! LOCAL VAR
INTEGER, PARAMETER :: iun = 84
REAL, DIMENSION( its:ite , kts:kte , 2) :: &
rh, qs, slope, slope2, slopeb, &
paut, pres, falk, fall, work1
REAL, DIMENSION( its:ite , kts:kte ) :: &
falkc, work1c, work2c, fallc
REAL, DIMENSION( its:ite , kts:kte, 3 ) :: &
pacr
REAL, DIMENSION( its:ite , kts:kte ) :: &
pgen, pisd, pcon, xl, cpm, work2, q1, t1, denfac, &
pgens, pauts, pacrss, pisds, press, pcons, psml, psev
INTEGER, DIMENSION( its:ite ) :: mstep
LOGICAL, DIMENSION( its:ite ) :: flgcld
REAL :: n0sfac, pi, &
cpmcal, xlcal, lamdar, lamdas, diffus, &
viscos, xka, venfac, conden, diffac, &
x, y, z, a, b, c, d, e, &
qdt, holdrr, holdrs, supcol, &
coeres, supsat, dtcld, xmi, eacrs, satdt, xnc, &
fallsum, xlwork2, factor, source, value, &
xlf,pfrzdtc,pfrzdtr
INTEGER :: i,j,k, &
iprt, latd, lond, loop, loops, ifsat, n, numdt
!
!=================================================================
! compute internal functions
!
cpmcal(x) = cpd*(1.-max(x,qmin))+max(x,qmin)*cpv
xlcal(x) = xlv0-xlv1*(x-t0c)
! tvcal(x,y) = x+x*ep1*max(y,qmin)
!----------------------------------------------------------------
! size distributions: (x=mixing ratio, y=air density):
! valid for mixing ratio > 1.e-30 kg/kg.
! otherwise use uniform distribution value (1.e15)
!
lamdar(x,y)=(pidn0r/(x*y))**.25
lamdas(x,y,z)=(pidn0s*z/(x*y))**.25
!
!----------------------------------------------------------------
! diffus: diffusion coefficient of the water vapor
! viscos: kinematic viscosity(m2s-1)
!
diffus(x,y) = 8.794e-5*x**1.81/y
viscos(x,y) = 1.496e-6*x**1.5/(x+120.)/y
xka(x,y) = 1.414e3*viscos(x,y)*y
diffac(a,b,c,d,e) = d*a*a/(xka(c,d)*rv*c*c)+1./(e*diffus(c,b))
venfac(a,b,c) = (viscos(b,c)/diffus(b,a))**(.3333333) &
/viscos(b,c)**(.5)*(den0/c)**0.25
conden(a,b,c,d,e) = (max(b,qmin)-c)/(1.+d*d/(rv*e)*c/(a*a))
!
pi = 4. * atan(1.)
!
!=================================================================
! set iprt = 0 for no unit fort.84 output
!
iprt = 1
if(iprt.eq.1) then
qdt = delt * 1000.
latd = (jte+jts)/2 + 1
lond = (ite+its)/2 + 1
else
latd = jts
lond = its
endif
!
!----------------------------------------------------------------
! paddint 0 for negative values generated by dynamics
!
do k = kts, kte
do i = its, ite
qci(i,k,1) = max(qci(i,k,1),0.0)
qrs(i,k,1) = max(qrs(i,k,1),0.0)
qci(i,k,2) = max(qci(i,k,2),0.0)
qrs(i,k,2) = max(qrs(i,k,2),0.0)
enddo
enddo
!
!----------------------------------------------------------------
! latent heat for phase changes and heat capacity. neglect the
! changes during microphysical process calculation
! emanuel(1994)
!
do k = kts, kte
do i = its, ite
cpm(i,k) = cpmcal(q(i,k))
xl(i,k) = xlcal(t(i,k))
enddo
enddo
if(lat.eq.latd) then
i = lond
do k = kts, kte
press(i,k) = 0.
pauts(i,k) = 0.
pacrss(i,k)= 0.
pgens(i,k) = 0.
pisds(i,k) = 0.
pcons(i,k) = 0.
t1(i,k) = t(i,k)
q1(i,k) = q(i,k)
enddo
endif
!
!----------------------------------------------------------------
! compute the minor time steps.
!
loops = max(nint(delt/dtcldcr),1)
dtcld = delt/loops
if(delt.le.dtcldcr) dtcld = delt
!
do loop = 1,loops
!
do i = its, ite
mstep(i) = 1
flgcld(i) = .true.
enddo
!
do k = kts, kte
do i = its, ite
denfac(i,k) = sqrt(den0/den(i,k))
enddo
enddo
!
do k = kts, kte
do i = its, ite
qs(i,k,1) = fpvs(t(i,k),0,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c)
qs(i,k,1) = ep2 * qs(i,k,1) / (p(i,k) - qs(i,k,1))
qs(i,k,1) = max(qs(i,k,1),qmin)
rh(i,k,1) = max(q(i,k) / qs(i,k,1),qmin)
qs(i,k,2) = fpvs(t(i,k),1,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c)
qs(i,k,2) = ep2 * qs(i,k,2) / (p(i,k) - qs(i,k,2))
qs(i,k,2) = max(qs(i,k,2),qmin)
rh(i,k,2) = max(q(i,k) / qs(i,k,2),qmin)
! if(lat.eq.latd.and.i.eq.lond) write(iun,700) qci(i,k,1)*1000., &
! qrs(i,k,1)*1000.,qci(i,k,2)*1000.,qrs(i,k,2)*1000.
!700 format(1x,'before computation', 4f10.4)
enddo
enddo
!
!
!----------------------------------------------------------------
! initialize the variables for microphysical physics
!
!
do k = kts, kte
do i = its, ite
pres(i,k,1) = 0.
pres(i,k,2) = 0.
paut(i,k,1) = 0.
paut(i,k,2) = 0.
pacr(i,k,1) = 0.
pacr(i,k,2) = 0.
pacr(i,k,3) = 0.
pgen(i,k) = 0.
pisd(i,k) = 0.
pcon(i,k) = 0.
psml(i,k) = 0.
psev(i,k) = 0.
falk(i,k,1) = 0.
falk(i,k,2) = 0.
fall(i,k,1) = 0.
fall(i,k,2) = 0.
fallc(i,k) = 0.
falkc(i,k) = 0.
enddo
enddo
!
!----------------------------------------------------------------
! sloper: the slope parameter of the rain(m-1)
! xka: thermal conductivity of air(jm-1s-1k-1)
! work1: the thermodynamic term in the denominator associated with
! heat conduction and vapor diffusion
! (ry88, y93, h85)
! work2: parameter associated with the ventilation effects(y93)
!
do k = kts, kte
do i = its, ite
if(qrs(i,k,1).le.qcrmin)then
slope(i,k,1) = lamdarmax
slopeb(i,k,1) = slope(i,k,1)**bvtr
else
slope(i,k,1) = lamdar(qrs(i,k,1),den(i,k))
slopeb(i,k,1) = slope(i,k,1)**bvtr
endif
if(qrs(i,k,2).le.qcrmin)then
slope(i,k,2) = lamdarmax
slopeb(i,k,2) = slope(i,k,2)**bvts
else
supcol = t0c-t(i,k)
n0sfac = min(exp(alpha*supcol),n0smax)
slope(i,k,2) = lamdas(qrs(i,k,2),den(i,k),n0sfac)
slopeb(i,k,2) = slope(i,k,2)**bvts
endif
slope2(i,k,1) = slope(i,k,1)*slope(i,k,1)
slope2(i,k,2) = slope(i,k,2)*slope(i,k,2)
enddo
enddo
!
do k = kts, kte
do i = its, ite
work1(i,k,1) = diffac(xl(i,k),p(i,k),t(i,k),den(i,k),qs(i,k,1))
work1(i,k,2) = diffac(xls,p(i,k),t(i,k),den(i,k),qs(i,k,2))
work2(i,k) = venfac(p(i,k),t(i,k),den(i,k))
enddo
enddo
!
! instantaneous melting of cloud ice
!
do k = kts, kte
do i = its, ite
supcol = t0c-t(i,k)
xlf = xls-xl(i,k)
if(supcol.lt.0..and.qci(i,k,2).gt.qcrmin) then
qci(i,k,1) = qci(i,k,1) + qci(i,k,2)
t(i,k) = t(i,k) - xlf/cpm(i,k)*qci(i,k,2)
qci(i,k,2) = 0.
! if(lat.eq.latd.and.i.eq.lond) write(iun,607) k,-supcol, &
! qci(i,k,2)*1000.,xlf/cpm(i,k)*qci(i,k,2)
endif
!607 format(1x,'k = ',i3,' t = ',f5.1,' qi melting = ',f10.6, &
! ' del t = ',f10.6)
!
! homogeneous freezing of cloud water below -40c
!
if(supcol.gt.40..and.qci(i,k,1).gt.qcrmin) then
qci(i,k,2) = qci(i,k,2) + qci(i,k,1)
t(i,k) = t(i,k) + xlf/cpm(i,k)*qci(i,k,1)
qci(i,k,1) = 0.
! if(lat.eq.latd.and.i.eq.lond) write(iun,608) k,-supcol, &
! qci(i,k,1)*1000.,xlf/cpm(i,k)*qci(i,k,1)
endif
!608 format(1x,'k = ',i3,' t = ',f5.1,' qc home freezing = ',f10.6, &
! ' del t = ',f10.6)
!
! heterogeneous freezing of cloud water
!
if(supcol.gt.0..and.qci(i,k,1).gt.qcrmin) then
pfrzdtc = min(pfrz1*exp(pfrz2*supcol-1.) &
*den(i,k)/denr/xncr*qci(i,k,1)**2*dtcld,qci(i,k,1))
qci(i,k,2) = qci(i,k,2) + pfrzdtc
t(i,k) = t(i,k) + xlf/cpm(i,k)*pfrzdtc
qci(i,k,1) = qci(i,k,1)-pfrzdtc
! if(lat.eq.latd.and.i.eq.lond) write(iun,609) k,-supcol, &
! pfrzdtc*1000.,xlf/cpm(i,k)*pfrzdtc
endif
!609 format(1x,'k = ',i3,' t = ',f5.1,' qc hete freezing = ',f10.6, &
! ' del t = ',f10.6)
!
! freezing of rain water
!
if(supcol.gt.0..and.qrs(i,k,1).gt.qcrmin) then
pfrzdtr = min(20.*pi**2*pfrz1*n0r*denr/den(i,k) &
*exp(pfrz2*supcol-1.)*slope(i,k,1)**(-7)*dtcld, &
qrs(i,k,1))
qrs(i,k,2) = qrs(i,k,2) + pfrzdtr
t(i,k) = t(i,k) + xlf/cpm(i,k)*pfrzdtr
qrs(i,k,1) = qrs(i,k,1)-pfrzdtr
! if(lat.eq.latd.and.i.eq.lond) write(iun,610) k,-supcol, &
! pfrzdtr*1000.,xlf/cpm(i,k)*pfrzdtr
!610 format(1x,'k = ',i3,' t = ',f5.1,' qr freezing = ',f10.6, &
! ' del t = ',f10.6)
endif
enddo
enddo
!
! warm rain process
! paut: auto conversion rate from cloud to rain (kgkg-1s-1)
! pacr: accretion rate of rain by cloud(lin83)
! pres: evaporation/condensation rate of rain(rh83)
!
do k = kts, kte
do i = its, ite
supsat = max(q(i,k),qmin)-qs(i,k,1)
satdt = supsat/dtcld
if(qci(i,k,1).gt.qc0) then
paut(i,k,1) = qck1*qci(i,k,1)**(7./3.)
paut(i,k,1) = min(paut(i,k,1),qci(i,k,1)/dtcld)
endif
if(qrs(i,k,1).gt.qcrmin) then
if(qci(i,k,1).gt.qcrmin) pacr(i,k,1) &
= min(pacrr/slope2(i,k,1)/slope(i,k,1)/slopeb(i,k,1) &
*qci(i,k,1)*denfac(i,k),qci(i,k,1)/dtcld)
coeres = slope2(i,k,1)*sqrt(slope(i,k,1)*slopeb(i,k,1))
pres(i,k,1) = (rh(i,k,1)-1.)*(precr1/slope2(i,k,1) &
+precr2*work2(i,k)/coeres)/work1(i,k,1)
if(pres(i,k,1).lt.0.) then
pres(i,k,1) = max(pres(i,k,1),-qrs(i,k,1)/dtcld)
pres(i,k,1) = max(pres(i,k,1),satdt/2)
else
pres(i,k,1) = min(pres(i,k,1),satdt/2)
pres(i,k,1) = min(pres(i,k,1),qrs(i,k,1)/dtcld)
endif
endif
enddo
enddo
!
!----------------------------------------------------------------
! cold rain process
! paut: conversion(aggregation) of ice to snow(kgkg-1s-1)(rh83)
! pgen: generation(nucleation) of ice from vapor(kgkg-1s-1)(rh83)
! pacr: accretion rate of snow by ice(lin83)
! pisd: deposition/sublimation rate of ice(rh83)
! pres: deposition/sublimation rate of snow(lin83)
!
do k = kts, kte
do i = its, ite
supcol = t0c-t(i,k)
supsat = max(q(i,k),qmin)-qs(i,k,2)
satdt = supsat/dtcld
ifsat = 0
n0sfac = min(exp(alpha*supcol),n0smax)
xnc = min(xn0 * exp(betai*supcol)/den(i,k),xncmax)
!
if(qrs(i,k,2).gt.qcrmin.and.qci(i,k,2).gt.qcrmin) then
eacrs = exp(0.025*(-supcol))
pacr(i,k,2) = min(pacrs*n0sfac*eacrs/slope2(i,k,2)/slope(i,k,2) &
/slopeb(i,k,2)*qci(i,k,2)*denfac(i,k),qci(i,k,2)/dtcld)
endif
if(qrs(i,k,2).gt.qcrmin.and.qci(i,k,1).gt.qcrmin) then
pacr(i,k,3) = min(pacrc/slope2(i,k,2)/slope(i,k,2) &
/slopeb(i,k,2)*qci(i,k,1)*denfac(i,k),qci(i,k,1)/dtcld)
endif
!
if(qci(i,k,2).gt.qcrmin) then
xmi = qci(i,k,2)*xnc
if(ifsat.ne.1) pisd(i,k) = 4.*dicon*sqrt(xmi)*den(i,k) &
*(rh(i,k,2)-1.)/work1(i,k,2)
if(pisd(i,k).lt.0.) then
pisd(i,k) = max(pisd(i,k),satdt)
pisd(i,k) = max(pisd(i,k),-qci(i,k,2)/dtcld)
else
pisd(i,k) = min(pisd(i,k),satdt)
endif
if(abs(pisd(i,k)).gt.abs(satdt)) ifsat = 1
endif
!
if(qrs(i,k,2).gt.qcrmin.and.ifsat.ne.1) then
coeres = slope2(i,k,2)*sqrt(slope(i,k,2)*slopeb(i,k,2))
if(ifsat.ne.1) pres(i,k,2) = (rh(i,k,2)-1.)*(precs1 &
/slope2(i,k,2)+precs2*work2(i,k) &
/coeres)/work1(i,k,2)
if(pres(i,k,2).lt.0.) then
pres(i,k,2) = max(pres(i,k,2),-qrs(i,k,2)/dtcld)
pres(i,k,2) = max(pres(i,k,2),satdt/2)
else
pres(i,k,2) = min(pres(i,k,2),satdt/2)
pres(i,k,2) = min(pres(i,k,2),qrs(i,k,2)/dtcld)
endif
if(abs(pisd(i,k)+pres(i,k,2)).ge.abs(satdt)) ifsat = 1
endif
!
if(supsat.gt.0.and.ifsat.ne.1) then
pgen(i,k) = max(0.,(xm0*xnc-max(qci(i,k,2),0.))/dtcld)
pgen(i,k) = min(pgen(i,k),satdt)
endif
!
if(qci(i,k,2).gt.qcrmin) paut(i,k,2) &
= max(0.,(qci(i,k,2)-xmmax*xnc)/dtcld)
!
if(t(i,k).gt.t0c) then
xlf = xls - xl(i,k)
if(qrs(i,k,2).gt.qcrmin) then
psml(i,k) = xka(t(i,k),den(i,k))/xlf*(t0c-t(i,k))*pi/2. &
*(precs1/slope2(i,k,2)+precs2*work2(i,k)/coeres)
psml(i,k) = min(max(psml(i,k),-qrs(i,k,2)/dtcld),0.)
endif
if(qrs(i,k,2).gt.qcrmin.and.rh(i,k,1).lt.1.) &
psev(i,k) = pres(i,k,2)*work1(i,k,2)/work1(i,k,1)
psev(i,k) = min(max(psev(i,k),-qrs(i,k,2)/dtcld),0.)
endif
enddo
enddo
!
!----------------------------------------------------------------
! check mass conservation of generation terms and feedback to the
! large scale
!
do k = kts, kte
do i = its, ite
if(t(i,k).le.t0c) then
!
! cloud water
!
value = max(qcrmin,qci(i,k,1))
source = (paut(i,k,1)+pacr(i,k,1)+pacr(i,k,3))*dtcld
if (source.gt.value) then
factor = value/source
paut(i,k,1) = paut(i,k,1)*factor
pacr(i,k,1) = pacr(i,k,1)*factor
pacr(i,k,3) = pacr(i,k,3)*factor
endif
!
! cloud ice
!
value = max(qcrmin,qci(i,k,2))
source = (paut(i,k,2)+pacr(i,k,2)-pgen(i,k)-pisd(i,k))*dtcld
if (source.gt.value) then
factor = value/source
paut(i,k,2) = paut(i,k,2)*factor
pacr(i,k,2) = pacr(i,k,2)*factor
pgen(i,k) = pgen(i,k)*factor
pisd(i,k) = pisd(i,k)*factor
endif
work2(i,k)=-(pres(i,k,1)+pres(i,k,2)+pgen(i,k)+pisd(i,k))
! update
q(i,k) = q(i,k)+work2(i,k)*dtcld
qci(i,k,1) = max(qci(i,k,1)-(paut(i,k,1)+pacr(i,k,1) &
+pacr(i,k,3))*dtcld,0.)
qrs(i,k,1) = max(qrs(i,k,1)+(paut(i,k,1)+pacr(i,k,1) &
+pres(i,k,1))*dtcld,0.)
qci(i,k,2) = max(qci(i,k,2)-(paut(i,k,2)+pacr(i,k,2) &
-pgen(i,k)-pisd(i,k))*dtcld,0.)
qrs(i,k,2) = max(qrs(i,k,2)+(pres(i,k,2)+paut(i,k,2) &
+pacr(i,k,2)+pacr(i,k,3))*dtcld,0.)
xlf = xls-xl(i,k)
xlwork2 = -xls*(pres(i,k,2)+pisd(i,k)+pgen(i,k)) &
-xl(i,k)*pres(i,k,1) &
-xlf*pacr(i,k,3)
t(i,k) = t(i,k)-xlwork2/cpm(i,k)*dtcld
else
!
! cloud water
!
value = max(qcrmin,qci(i,k,1))
source=(paut(i,k,1)+pacr(i,k,1)+pacr(i,k,3))*dtcld
if (source.gt.value) then
factor = value/source
paut(i,k,1) = paut(i,k,1)*factor
pacr(i,k,1) = pacr(i,k,1)*factor
pacr(i,k,3) = pacr(i,k,3)*factor
endif
!
! snow
!
value = max(qcrmin,qrs(i,k,2))
source=(-psev(i,k)-psml(i,k))*dtcld
if (source.gt.value) then
factor = value/source
psev(i,k) = psev(i,k)*factor
psml(i,k) = psml(i,k)*factor
endif
work2(i,k)=-(pres(i,k,1)+psev(i,k))
! update
q(i,k) = q(i,k)+work2(i,k)*dtcld
qci(i,k,1) = max(qci(i,k,1)-(paut(i,k,1)+pacr(i,k,1) &
+pacr(i,k,3))*dtcld,0.)
qrs(i,k,1) = max(qrs(i,k,1)+(paut(i,k,1)+pacr(i,k,1) &
+pres(i,k,1) -psml(i,k)+pacr(i,k,3))*dtcld,0.)
qrs(i,k,2) = max(qrs(i,k,2)+(psml(i,k)+psev(i,k))*dtcld,0.)
xlf = xls-xl(i,k)
xlwork2 = -xlf*(psml(i,k))-xl(i,k)*(pres(i,k,1)+psev(i,k))
t(i,k) = t(i,k)-xlwork2/cpm(i,k)*dtcld
endif
enddo
enddo
!
do k = kts, kte
do i = its, ite
qs(i,k,1) = fpvs(t(i,k),0,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c)
qs(i,k,1) = ep2 * qs(i,k,1) / (p(i,k) - qs(i,k,1))
qs(i,k,1) = max(qs(i,k,1),qmin)
qs(i,k,2) = fpvs(t(i,k),1,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c)
qs(i,k,2) = ep2 * qs(i,k,2) / (p(i,k) - qs(i,k,2))
qs(i,k,2) = max(qs(i,k,2),qmin)
enddo
enddo
!
!----------------------------------------------------------------
! condensational/evaporational rate of cloud water if there exists
! additional water vapor condensated/if evaporation of cloud water
! is not enough to remove subsaturation.
! use fall bariable for this process(pcon)
!
! if(lat.eq.latd) write(iun,603)
do k = kts, kte
do i = its, ite
work1(i,k,1) = conden(t(i,k),q(i,k),qs(i,k,1),xl(i,k),cpm(i,k))
work2(i,k) = qci(i,k,1)+work1(i,k,1)
pcon(i,k) = min(max(work1(i,k,1)/dtcld,0.),max(q(i,k),0.)/dtcld)
if(qci(i,k,1).gt.qcrmin.and.work1(i,k,1).lt.0.and.t(i,k).gt.t0c) &
pcon(i,k) = max(work1(i,k,1),-qci(i,k,1))/dtcld
q(i,k) = q(i,k)-pcon(i,k)*dtcld
qci(i,k,1) = max(qci(i,k,1)+pcon(i,k)*dtcld,0.)
t(i,k) = t(i,k)+pcon(i,k)*xl(i,k)/cpm(i,k)*dtcld
!
if(lat.eq.latd.and.i.eq.lond) then
pgens(i,k) = pgens(i,k)+pgen(i,k)
pcons(i,k) = pcons(i,k)+pcon(i,k)
pisds(i,k) = pisds(i,k)+pisd(i,k)
pacrss(i,k) = pacrss(i,k)+pacr(i,k,1)+pacr(i,k,2)+pacr(i,k,3)
press(i,k) = press(i,k)+pres(i,k,1)+pres(i,k,2)
pauts(i,k) = pauts(i,k)+paut(i,k,1)+paut(i,k,2)
! write(iun,604) k,p(i,k)/100., &
! t(i,k)-t0c,t(i,k)-t1(i,k),q(i,k)*1000., &
! (q(i,k)-q1(i,k))*1000.,rh(i,k,2)*100.,pgens(i,k)*qdt, &
! pcons(i,k)*qdt,pisds(i,k)*qdt,pauts(i,k)*qdt,pacrss(i,k)*qdt, &
! press(i,k)*qdt,qci(i,k,1)*1000.,qrs(i,k,1)*1000., &
! qci(i,k,2)*1000.,qrs(i,k,2)*1000.
endif
enddo
enddo
!603 format(1x,' k',' p', &
! ' t',' delt',' q',' delq',' rh', &
! ' pgen',' pcon',' pisd',' paut',' pacr',' pres', &
! ' qc',' qr',' qi',' qs')
!604 format(1x,i3,f6.0,4f5.1,f5.0,10f5.2)
!
!----------------------------------------------------------------
! compute the fallout term:
! first, vertical terminal velosity for minor loops
!
do k = kts, kte
do i = its, ite
if(qrs(i,k,1).le.qcrmin)then
slope(i,k,1) = lamdarmax
slopeb(i,k,1) = slope(i,k,1)**bvtr
else
slope(i,k,1) = lamdar(qrs(i,k,1),den(i,k))
slopeb(i,k,1) = slope(i,k,1)**bvtr
endif
if(qrs(i,k,2).le.qcrmin)then
slope(i,k,2) = lamdarmax
slopeb(i,k,2) = slope(i,k,2)**bvts
else
supcol = t0c-t(i,k)
n0sfac = min(exp(alpha*supcol),n0smax)
slope(i,k,2) = lamdas(qrs(i,k,2),den(i,k),n0sfac)
slopeb(i,k,2) = slope(i,k,2)**bvts
endif
slope2(i,k,1) = slope(i,k,1)*slope(i,k,1)
slope2(i,k,2) = slope(i,k,2)*slope(i,k,2)
enddo
enddo
!
do i = its, ite
do k = kte, kts, -1
work1(i,k,1) = pvtr/slopeb(i,k,1)*denfac(i,k)/delz(i,k)
work1(i,k,2) = pvts/slopeb(i,k,2)*denfac(i,k)/delz(i,k)
if(qrs(i,k,1).le.qcrmin) work1(i,k,1) = 0.
if(qrs(i,k,2).le.qcrmin) work1(i,k,2) = 0.
numdt = max(nint(max(work1(i,k,1),work1(i,k,2))*dtcld+.5),1)
if(qci(i,k,2).le.qmin) then
work2c(i,k) = 0.
else
work1c(i,k) = 3.29*(den(i,k)*qci(i,k,2))**0.16
work2c(i,k) = work1c(i,k)/delz(i,k)
endif
numdt = max(nint(work2c(i,k)*dtcld+.5),numdt)
if(numdt.ge.mstep(i)) mstep(i) = numdt
enddo
mstep(i) = min(mstep(i),mstepmax)
enddo
!
! if(lat.eq.latd) write(iun,605)
do n = 1,mstepmax
k = kte
do i = its, ite
if(n.le.mstep(i)) then
falk(i,k,1) = den(i,k)*qrs(i,k,1)*work1(i,k,1)/mstep(i)
falk(i,k,2) = den(i,k)*qrs(i,k,2)*work1(i,k,2)/mstep(i)
fall(i,k,1) = fall(i,k,1)+falk(i,k,1)
fall(i,k,2) = fall(i,k,2)+falk(i,k,2)
holdrr = qrs(i,k,1)
holdrs = qrs(i,k,2)
qrs(i,k,1) = max(qrs(i,k,1)-falk(i,k,1)*dtcld/den(i,k),0.)
qrs(i,k,2) = max(qrs(i,k,2)-falk(i,k,2)*dtcld/den(i,k),0.)
falkc(i,k) = den(i,k)*qci(i,k,2)*work2c(i,k)/mstep(i)
fallc(i,k) = fallc(i,k)+falkc(i,k)
qci(i,k,2) = max(qci(i,k,2)-falkc(i,k)*dtcld/den(i,k),0.)
!
! if(lat.eq.latd.and.i.eq.lond) &
! write(iun,606) k,p(i,k)/100., &
! t(i,k)-t0c,q(i,k)*1000.,rh(i,k,2)*100.,w(i,k),work1(i,k,1) &
! *delz(i,k), work1(i,k,2)*delz(i,k),holdrr*1000.,holdrs*1000., &
! qrs(i,k,1)*1000.,qrs(i,k,2)*1000.,n
endif
enddo
do k = kte-1, kts, -1
do i = its, ite
if(n.le.mstep(i)) then
falk(i,k,1) = den(i,k)*qrs(i,k,1)*work1(i,k,1)/mstep(i)
falk(i,k,2) = den(i,k)*qrs(i,k,2)*work1(i,k,2)/mstep(i)
fall(i,k,1) = fall(i,k,1)+falk(i,k,1)
fall(i,k,2) = fall(i,k,2)+falk(i,k,2)
holdrr = qrs(i,k,1)
holdrs = qrs(i,k,2)
qrs(i,k,1) = max(qrs(i,k,1)-(falk(i,k,1) &
-falk(i,k+1,1)*delz(i,k+1)/delz(i,k))*dtcld/den(i,k),0.)
qrs(i,k,2) = max(qrs(i,k,2)-(falk(i,k,2) &
-falk(i,k+1,2)*delz(i,k+1)/delz(i,k))*dtcld/den(i,k),0.)
falkc(i,k) = den(i,k)*qci(i,k,2)*work2c(i,k)/mstep(i)
fallc(i,k) = fallc(i,k)+falkc(i,k)
qci(i,k,2) = max(qci(i,k,2)-(falkc(i,k) &
-falkc(i,k+1)*delz(i,k+1)/delz(i,k))*dtcld/den(i,k),0.)
!
! if(lat.eq.latd.and.i.eq.lond) &
! write(iun,606) k,p(i,k)/100., &
! t(i,k)-t0c,q(i,k)*1000.,rh(i,k,2)*100.,w(i,k),work1(i,k,1) &
! *delz(i,k), work1(i,k,2)*delz(i,k),holdrr*1000.,holdrs*1000., &
! qrs(i,k,1)*1000.,qrs(i,k,2)*1000.,n
endif
enddo
enddo
enddo
!605 format(1x,' k',' p',' t',' q',' rh',' w', &
! ' vtr',' vts',' qri',' qsi',' qrf',' qsf',' mstep')
!606 format(1x,i3,f6.0,2f5.1,f5.0,f6.2,6f6.2,i5)
!
!----------------------------------------------------------------
! rain (unit is mm/sec;kgm-2s-1: /1000*delt ===> m)==> mm for wrf
!
do i = its, ite
fallsum = fall(i,1,1)+fall(i,1,2)
if(fallsum.gt.0.) then
rainncv(i) = fallsum*delz(i,1)/denr*dtcld*1000.
rain(i) = fallsum*delz(i,1)/denr*dtcld*1000. &
+ rain(i)
endif
enddo
!
! if(lat.eq.latd) write(iun,601) latd,lond,loop,rain(lond)
! 601 format(1x,' ncloud5 lat lon loop : rain(mm) ',3i6,f20.2)
!
enddo ! big loops
END SUBROUTINE ncloud52d
! ...................................................................
REAL FUNCTION rgmma(x) 16
!-------------------------------------------------------------------
IMPLICIT NONE
!-------------------------------------------------------------------
! rgmma function: use infinite product form
REAL :: euler
PARAMETER (euler=0.577215664901532)
REAL :: x, y
INTEGER :: i
if(x.eq.1.)then
rgmma=0.
else
rgmma=x*exp(euler*x)
do i=1,10000
y=float(i)
rgmma=rgmma*(1.000+x/y)*exp(-x/y)
enddo
rgmma=1./rgmma
endif
end function rgmma
!
!--------------------------------------------------------------------------
REAL FUNCTION fpvs(t,ice,rd,rv,cvap,cliq,cice,hvap,hsub,psat,t0c) 6
!--------------------------------------------------------------------------
IMPLICIT NONE
!--------------------------------------------------------------------------
REAL t,rd,rv,cvap,cliq,cice,hvap,hsub,psat,t0c,dldt,xa,xb,dldti, &
xai,xbi,ttp,tr
INTEGER ice
! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
ttp=t0c+0.1
dldt=cvap-cliq
xa=-dldt/rv
xb=xa+hvap/(rv*ttp)
dldti=cvap-cice
xai=-dldti/rv
xbi=xai+hsub/(rv*ttp)
tr=ttp/t
if(t.lt.ttp.and.ice.eq.1) then
fpvs=psat*(tr**xai)*exp(xbi*(1.-tr))
else
fpvs=psat*(tr**xa)*exp(xb*(1.-tr))
endif
! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
END FUNCTION fpvs
!-------------------------------------------------------------------
SUBROUTINE ncloud5init(den0,denr,dens,cl,cpv) 1,8
!-------------------------------------------------------------------
IMPLICIT NONE
!-------------------------------------------------------------------
!.... constants which may not be tunable
real, intent(in) :: den0,denr,dens,cl,cpv
real :: pi
pi = 4.*atan(1.)
xlv1 = cl-cpv
qc0 = 4./3.*pi*denr*r0**3*xncr/den0 ! 0.419e-3 -- .61e-3
qck1 = .104*9.8*peaut/(xncr*denr)**(1./3.)/xmyu ! 7.03
bvtr1 = 1.+bvtr
bvtr2 = 2.5+.5*bvtr
bvtr3 = 3.+bvtr
bvtr4 = 4.+bvtr
g1pbr = rgmma(bvtr1)
g3pbr = rgmma(bvtr3)
g4pbr = rgmma(bvtr4) ! 17.837825
g5pbro2 = rgmma(bvtr2) ! 1.8273
pvtr = avtr*g4pbr/6.
eacrr = 1.0
pacrr = pi*n0r*avtr*g3pbr*.25*eacrr
precr1 = 2.*pi*n0r*.78
precr2 = 2.*pi*n0r*.31*avtr**.5*g5pbro2
xm0 = (di0/dicon)**2
xmmax = (dimax/dicon)**2
!
bvts1 = 1.+bvts
bvts2 = 2.5+.5*bvts
bvts3 = 3.+bvts
bvts4 = 4.+bvts
g1pbs = rgmma(bvts1) !.8875
g3pbs = rgmma(bvts3)
g4pbs = rgmma(bvts4) ! 12.0786
g5pbso2 = rgmma(bvts2)
pvts = avts*g4pbs/6.
pacrs = pi*n0s*avts*g3pbs*.25
precs1 = 4.*n0s*.65
precs2 = 4.*n0s*.44*avts**.5*g5pbso2
pidn0r = pi*denr*n0r
pidn0s = pi*dens*n0s
!
pacrc = pi*n0s*avts*g3pbs*.25*eacrc
!
END SUBROUTINE ncloud5init
END MODULE module_mp_ncloud5