/wrfv2_fire/phys/module_mp_wsm5.F
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- #ifdef _ACCEL
- # include "module_mp_wsm5_accel.F"
- #else
- #if ( RWORDSIZE == 4 )
- # define VREC vsrec
- # define VSQRT vssqrt
- #else
- # define VREC vrec
- # define VSQRT vsqrt
- #endif
- !Including inline expansion statistical function
- MODULE module_mp_wsm5
- !
- !
- REAL, PARAMETER, PRIVATE :: dtcldcr = 120. ! maximum time step for minor loops
- REAL, PARAMETER, PRIVATE :: n0r = 8.e6 ! intercept parameter rain
- REAL, PARAMETER, PRIVATE :: avtr = 841.9 ! a constant for terminal velocity of rain
- REAL, PARAMETER, PRIVATE :: bvtr = 0.8 ! a constant for terminal velocity of rain
- REAL, PARAMETER, PRIVATE :: r0 = .8e-5 ! 8 microm in contrast to 10 micro m
- 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 = 11.72 ! a constant for terminal velocity of snow
- REAL, PARAMETER, PRIVATE :: bvts = .41 ! a constant for terminal velocity of snow
- REAL, PARAMETER, PRIVATE :: n0smax = 1.e11 ! maximum n0s (t=-90C unlimited)
- REAL, PARAMETER, PRIVATE :: lamdarmax = 8.e4 ! limited maximum value for slope parameter of rain
- REAL, PARAMETER, PRIVATE :: lamdasmax = 1.e5 ! limited maximum value for slope parameter of snow
- REAL, PARAMETER, PRIVATE :: lamdagmax = 6.e4 ! limited maximum value for slope parameter of graupel
- REAL, PARAMETER, PRIVATE :: dicon = 11.9 ! constant for the cloud-ice diamter
- REAL, PARAMETER, PRIVATE :: dimax = 500.e-6 ! limited maximum value for the cloud-ice diamter
- REAL, PARAMETER, PRIVATE :: n0s = 2.e6 ! temperature dependent intercept parameter snow
- REAL, PARAMETER, PRIVATE :: alpha = .12 ! .122 exponen factor for n0s
- REAL, PARAMETER, PRIVATE :: pfrz1 = 100. ! constant in Biggs freezing
- REAL, PARAMETER, PRIVATE :: pfrz2 = 0.66 ! constant in Biggs freezing
- REAL, PARAMETER, PRIVATE :: qcrmin = 1.e-9 ! minimun values for qr, qs, and qg
- REAL, PARAMETER, PRIVATE :: eacrc = 1.0 ! Snow/cloud-water collection efficiency
- REAL, SAVE :: &
- qc0, qck1,bvtr1,bvtr2,bvtr3,bvtr4,g1pbr, &
- g3pbr,g4pbr,g5pbro2,pvtr,eacrr,pacrr, &
- precr1,precr2,xmmax,roqimax,bvts1, &
- bvts2,bvts3,bvts4,g1pbs,g3pbs,g4pbs, &
- g5pbso2,pvts,pacrs,precs1,precs2,pidn0r, &
- pidn0s,xlv1,pacrc,pi, &
- rslopermax,rslopesmax,rslopegmax, &
- rsloperbmax,rslopesbmax,rslopegbmax, &
- rsloper2max,rslopes2max,rslopeg2max, &
- rsloper3max,rslopes3max,rslopeg3max
- !
- ! Specifies code-inlining of fpvs function in WSM52D below. JM 20040507
- !
- CONTAINS
- !===================================================================
- !
- SUBROUTINE wsm5(th, q, qc, qr, qi, qs &
- ,den, pii, p, delz &
- ,delt,g, cpd, cpv, rd, rv, t0c &
- ,ep1, ep2, qmin &
- ,XLS, XLV0, XLF0, den0, denr &
- ,cliq,cice,psat &
- ,rain, rainncv &
- ,snow, snowncv &
- ,sr &
- ,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
- 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 ) :: &
- den, &
- pii, &
- p, &
- delz
- REAL, INTENT(IN ) :: delt, &
- g, &
- rd, &
- rv, &
- t0c, &
- den0, &
- cpd, &
- cpv, &
- ep1, &
- ep2, &
- qmin, &
- XLS, &
- XLV0, &
- XLF0, &
- cliq, &
- cice, &
- psat, &
- denr
- REAL, DIMENSION( ims:ime , jms:jme ), &
- INTENT(INOUT) :: rain, &
- rainncv, &
- sr
- REAL, DIMENSION( ims:ime , jms:jme ), OPTIONAL, &
- INTENT(INOUT) :: snow, &
- snowncv
- ! LOCAL VAR
- REAL, DIMENSION( its:ite , kts:kte ) :: t
- REAL, DIMENSION( its:ite , kts:kte, 2 ) :: qci, qrs
- CHARACTER*256 :: emess
- INTEGER :: mkx_test
- INTEGER :: i,j,k
- !-------------------------------------------------------------------
- #ifndef RUN_ON_GPU
- 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
- ! Sending array starting locations of optional variables may cause
- ! troubles, so we explicitly change the call.
- CALL wsm52D(t, q(ims,kms,j), qci, qrs &
- ,den(ims,kms,j) &
- ,p(ims,kms,j), delz(ims,kms,j) &
- ,delt,g, cpd, cpv, rd, rv, t0c &
- ,ep1, ep2, qmin &
- ,XLS, XLV0, XLF0, den0, denr &
- ,cliq,cice,psat &
- ,j &
- ,rain(ims,j),rainncv(ims,j) &
- ,sr(ims,j) &
- ,ids,ide, jds,jde, kds,kde &
- ,ims,ime, jms,jme, kms,kme &
- ,its,ite, jts,jte, kts,kte &
- ,snow,snowncv &
- )
- 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
- #else
- CALL get_wsm5_gpu_levels ( mkx_test )
- IF ( mkx_test .LT. kte ) THEN
- WRITE(emess,*)'Number of levels compiled for GPU WSM5 too small. ', &
- mkx_test,' < ',kte
- CALL wrf_error_fatal(emess)
- ENDIF
- CALL wsm5_host ( &
- th(its:ite,kts:kte,jts:jte), pii(its:ite,kts:kte,jts:jte) &
- ,q(its:ite,kts:kte,jts:jte), qc(its:ite,kts:kte,jts:jte) &
- ,qi(its:ite,kts:kte,jts:jte), qr(its:ite,kts:kte,jts:jte) &
- ,qs(its:ite,kts:kte,jts:jte), den(its:ite,kts:kte,jts:jte) &
- ,p(its:ite,kts:kte,jts:jte), delz(its:ite,kts:kte,jts:jte) &
- ,delt &
- ,rain(its:ite,jts:jte),rainncv(its:ite,jts:jte) &
- ,snow(its:ite,jts:jte),snowncv(its:ite,jts:jte) &
- ,sr(its:ite,jts:jte) &
- ,its, ite, jts, jte, kts, kte &
- ,its, ite, jts, jte, kts, kte &
- ,its, ite, jts, jte, kts, kte &
- )
- #endif
- END SUBROUTINE wsm5
- !===================================================================
- !
- SUBROUTINE wsm52D(t, q &
- ,qci, qrs, den, p, delz &
- ,delt,g, cpd, cpv, rd, rv, t0c &
- ,ep1, ep2, qmin &
- ,XLS, XLV0, XLF0, den0, denr &
- ,cliq,cice,psat &
- ,lat &
- ,rain,rainncv &
- ,sr &
- ,ids,ide, jds,jde, kds,kde &
- ,ims,ime, jms,jme, kms,kme &
- ,its,ite, jts,jte, kts,kte &
- ,snow,snowncv &
- )
- !-------------------------------------------------------------------
- IMPLICIT NONE
- !-------------------------------------------------------------------
- !
- ! This code is a 5-class mixed ice microphyiscs scheme (WSM5) of the
- ! Single-Moment MicroPhyiscs (WSMMP). The WSMMP assumes that ice nuclei
- ! number concentration is a function of temperature, and seperate assumption
- ! is developed, in which ice crystal number concentration is a function
- ! of ice amount. A theoretical background of the ice-microphysics and related
- ! processes in the WSMMPs are described in Hong et al. (2004).
- ! Production terms in the WSM6 scheme are described in Hong and Lim (2006).
- ! All units are in m.k.s. and source/sink terms in kgkg-1s-1.
- !
- ! WSM5 cloud scheme
- !
- ! Coded by Song-You Hong (Yonsei Univ.)
- ! Jimy Dudhia (NCAR) and Shu-Hua Chen (UC Davis)
- ! Summer 2002
- !
- ! Implemented by Song-You Hong (Yonsei Univ.) and Jimy Dudhia (NCAR)
- ! Summer 2003
- !
- ! Reference) Hong, Dudhia, Chen (HDC, 2004) Mon. Wea. Rev.
- ! Rutledge, Hobbs (RH83, 1983) J. Atmos. Sci.
- ! Hong and Lim (HL, 2006) J. Korean Meteor. Soc.
- !
- 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 ) :: &
- den, &
- p, &
- delz
- REAL, INTENT(IN ) :: delt, &
- g, &
- cpd, &
- cpv, &
- t0c, &
- den0, &
- rd, &
- rv, &
- ep1, &
- ep2, &
- qmin, &
- XLS, &
- XLV0, &
- XLF0, &
- cliq, &
- cice, &
- psat, &
- denr
- REAL, DIMENSION( ims:ime ), &
- INTENT(INOUT) :: rain, &
- rainncv, &
- sr
- REAL, DIMENSION( ims:ime, jms:jme ), OPTIONAL, &
- INTENT(INOUT) :: snow, &
- snowncv
- ! LOCAL VAR
- REAL, DIMENSION( its:ite , kts:kte , 2) :: &
- rh, &
- qs, &
- rslope, &
- rslope2, &
- rslope3, &
- rslopeb, &
- qrs_tmp, &
- falk, &
- fall, &
- work1
- REAL, DIMENSION( its:ite , kts:kte ) :: &
- falkc, &
- fallc, &
- xl, &
- cpm, &
- denfac, &
- xni, &
- denqrs1, &
- denqrs2, &
- denqci, &
- n0sfac, &
- work2, &
- workr, &
- works, &
- work1c, &
- work2c
- REAL, DIMENSION( its:ite , kts:kte ) :: &
- den_tmp, &
- delz_tmp
- REAL, DIMENSION( its:ite ) :: &
- delqrs1, &
- delqrs2, &
- delqi
- REAL, DIMENSION( its:ite , kts:kte ) :: &
- pigen, &
- pidep, &
- psdep, &
- praut, &
- psaut, &
- prevp, &
- psevp, &
- pracw, &
- psacw, &
- psaci, &
- pcond, &
- psmlt
- INTEGER, DIMENSION( its:ite ) :: &
- mstep, &
- numdt
- REAL, DIMENSION(its:ite) :: tstepsnow
- REAL, DIMENSION(its:ite) :: rmstep
- REAL dtcldden, rdelz, rdtcld
- LOGICAL, DIMENSION( its:ite ) :: flgcld
- #define WSM_NO_CONDITIONAL_IN_VECTOR
- #ifdef WSM_NO_CONDITIONAL_IN_VECTOR
- REAL, DIMENSION(its:ite) :: xal, xbl
- #endif
- REAL :: &
- cpmcal, xlcal, diffus, &
- viscos, xka, venfac, conden, diffac, &
- x, y, z, a, b, c, d, e, &
- qdt, holdrr, holdrs, supcol, supcolt, pvt, &
- coeres, supsat, dtcld, xmi, eacrs, satdt, &
- vt2i,vt2s,acrfac, &
- qimax, diameter, xni0, roqi0, &
- fallsum, fallsum_qsi, xlwork2, factor, source, &
- value, xlf, pfrzdtc, pfrzdtr, supice, holdc, holdci
- ! variables for optimization
- REAL, DIMENSION( its:ite ) :: tvec1
- REAL :: temp
- INTEGER :: i, j, k, mstepmax, &
- iprt, latd, lond, loop, loops, ifsat, n, idim, kdim
- ! Temporaries used for inlining fpvs function
- REAL :: dldti, xb, xai, tr, xbi, xa, hvap, cvap, hsub, dldt, ttp
- REAL :: logtr
- !
- !=================================================================
- ! compute internal functions
- !
- cpmcal(x) = cpd*(1.-max(x,qmin))+max(x,qmin)*cpv
- xlcal(x) = xlv0-xlv1*(x-t0c)
- !----------------------------------------------------------------
- ! diffus: diffusion coefficient of the water vapor
- ! viscos: kinematic viscosity(m2s-1)
- ! diffus(x,y) = 8.794e-5 * exp(log(x)*(1.81)) / y ! 8.794e-5*x**1.81/y
- ! viscos(x,y) = 1.496e-6 * (x*sqrt(x)) /(x+120.)/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) = exp(log((viscos(b,c)/diffus(b,a)))*((.3333333))) &
- ! /sqrt(viscos(b,c))*sqrt(sqrt(den0/c))
- ! conden(a,b,c,d,e) = (max(b,qmin)-c)/(1.+d*d/(rv*e)*c/(a*a))
- !
- !----------------------------------------------------------------
- idim = ite-its+1
- kdim = kte-kts+1
- !
- !----------------------------------------------------------------
- ! 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
- do k = kts, kte
- do i = its, ite
- delz_tmp(i,k) = delz(i,k)
- den_tmp(i,k) = den(i,k)
- enddo
- enddo
- !
- !----------------------------------------------------------------
- ! initialize the surface rain, snow
- !
- do i = its, ite
- rainncv(i) = 0.
- if(PRESENT (snowncv) .AND. PRESENT (snow)) snowncv(i,lat) = 0.
- sr(i) = 0.
- ! new local array to catch step snow
- tstepsnow(i) = 0.
- enddo
- !
- !----------------------------------------------------------------
- ! compute the minor time steps.
- !
- loops = max(nint(delt/dtcldcr),1)
- dtcld = delt/loops
- if(delt.le.dtcldcr) dtcld = delt
- !
- do loop = 1,loops
- !
- !----------------------------------------------------------------
- ! initialize the large scale variables
- !
- 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
- CALL VREC( tvec1(its), den(its,k), ite-its+1)
- do i = its, ite
- tvec1(i) = tvec1(i)*den0
- enddo
- CALL VSQRT( denfac(its,k), tvec1(its), ite-its+1)
- enddo
- !
- ! Inline expansion for fpvs
- ! qs(i,k,1) = fpvs(t(i,k),0,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c)
- ! qs(i,k,2) = fpvs(t(i,k),1,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c)
- hsub = xls
- hvap = xlv0
- cvap = cpv
- ttp=t0c+0.01
- dldt=cvap-cliq
- xa=-dldt/rv
- xb=xa+hvap/(rv*ttp)
- dldti=cvap-cice
- xai=-dldti/rv
- xbi=xai+hsub/(rv*ttp)
- ! this is for compilers where the conditional inhibits vectorization
- #ifdef WSM_NO_CONDITIONAL_IN_VECTOR
- do k = kts, kte
- do i = its, ite
- if(t(i,k).lt.ttp) then
- xal(i) = xai
- xbl(i) = xbi
- else
- xal(i) = xa
- xbl(i) = xb
- endif
- enddo
- do i = its, ite
- tr=ttp/t(i,k)
- logtr=log(tr)
- qs(i,k,1)=psat*exp(logtr*(xa)+xb*(1.-tr))
- qs(i,k,1) = min(qs(i,k,1),0.99*p(i,k))
- 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)=psat*exp(logtr*(xal(i))+xbl(i)*(1.-tr))
- qs(i,k,2) = min(qs(i,k,2),0.99*p(i,k))
- 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)
- #else
- do k = kts, kte
- do i = its, ite
- tr=ttp/t(i,k)
- logtr=log(tr)
- qs(i,k,1)=psat*exp(logtr*(xa)+xb*(1.-tr))
- qs(i,k,1) = min(qs(i,k,1),0.99*p(i,k))
- 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)
- if(t(i,k).lt.ttp) then
- qs(i,k,2)=psat*exp(logtr*(xai)+xbi*(1.-tr))
- else
- qs(i,k,2)=psat*exp(logtr*(xa)+xb*(1.-tr))
- endif
- qs(i,k,2) = min(qs(i,k,2),0.99*p(i,k))
- 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)
- enddo
- enddo
- #endif
- enddo
- enddo
- !
- !----------------------------------------------------------------
- ! initialize the variables for microphysical physics
- !
- !
- do k = kts, kte
- do i = its, ite
- prevp(i,k) = 0.
- psdep(i,k) = 0.
- praut(i,k) = 0.
- psaut(i,k) = 0.
- pracw(i,k) = 0.
- psaci(i,k) = 0.
- psacw(i,k) = 0.
- pigen(i,k) = 0.
- pidep(i,k) = 0.
- pcond(i,k) = 0.
- psmlt(i,k) = 0.
- psevp(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.
- xni(i,k) = 1.e3
- enddo
- enddo
- !-------------------------------------------------------------
- ! Ni: ice crystal number concentraiton [HDC 5c]
- !-------------------------------------------------------------
- do k = kts, kte
- do i = its, ite
- temp = (den(i,k)*max(qci(i,k,2),qmin))
- temp = sqrt(sqrt(temp*temp*temp))
- xni(i,k) = min(max(5.38e7*temp,1.e3),1.e6)
- enddo
- enddo
- !
- !----------------------------------------------------------------
- ! compute the fallout term:
- ! first, vertical terminal velosity for minor loops
- !----------------------------------------------------------------
- do k = kts, kte
- do i = its, ite
- qrs_tmp(i,k,1) = qrs(i,k,1)
- qrs_tmp(i,k,2) = qrs(i,k,2)
- enddo
- enddo
- call slope_wsm5(qrs_tmp,den_tmp,denfac,t,rslope,rslopeb,rslope2,rslope3, &
- work1,its,ite,kts,kte)
- !
- do k = kte, kts, -1
- do i = its, ite
- workr(i,k) = work1(i,k,1)
- works(i,k) = work1(i,k,2)
- denqrs1(i,k) = den(i,k)*qrs(i,k,1)
- denqrs2(i,k) = den(i,k)*qrs(i,k,2)
- if(qrs(i,k,1).le.0.0) workr(i,k) = 0.0
- if(qrs(i,k,2).le.0.0) works(i,k) = 0.0
- enddo
- enddo
- call nislfv_rain_plm(idim,kdim,den_tmp,denfac,t,delz_tmp,workr,denqrs1, &
- delqrs1,dtcld,1,1)
- call nislfv_rain_plm(idim,kdim,den_tmp,denfac,t,delz_tmp,works,denqrs2, &
- delqrs2,dtcld,2,1)
- do k = kts, kte
- do i = its, ite
- qrs(i,k,1) = max(denqrs1(i,k)/den(i,k),0.)
- qrs(i,k,2) = max(denqrs2(i,k)/den(i,k),0.)
- fall(i,k,1) = denqrs1(i,k)*workr(i,k)/delz(i,k)
- fall(i,k,2) = denqrs2(i,k)*works(i,k)/delz(i,k)
- enddo
- enddo
- do i = its, ite
- fall(i,1,1) = delqrs1(i)/delz(i,1)/dtcld
- fall(i,1,2) = delqrs2(i)/delz(i,1)/dtcld
- enddo
- do k = kts, kte
- do i = its, ite
- qrs_tmp(i,k,1) = qrs(i,k,1)
- qrs_tmp(i,k,2) = qrs(i,k,2)
- enddo
- enddo
- call slope_wsm5(qrs_tmp,den_tmp,denfac,t,rslope,rslopeb,rslope2,rslope3, &
- work1,its,ite,kts,kte)
- do k = kte, kts, -1
- do i = its, ite
- supcol = t0c-t(i,k)
- n0sfac(i,k) = max(min(exp(alpha*supcol),n0smax/n0s),1.)
- if(t(i,k).gt.t0c.and.qrs(i,k,2).gt.0.) then
- !----------------------------------------------------------------
- ! psmlt: melting of snow [HL A33] [RH83 A25]
- ! (T>T0: S->R)
- !----------------------------------------------------------------
- xlf = xlf0
- ! work2(i,k)= venfac(p(i,k),t(i,k),den(i,k))
- work2(i,k)= (exp(log(((1.496e-6*((t(i,k))*sqrt(t(i,k))) &
- /((t(i,k))+120.)/(den(i,k)))/(8.794e-5 &
- *exp(log(t(i,k))*(1.81))/p(i,k)))) &
- *((.3333333)))/sqrt((1.496e-6*((t(i,k)) &
- *sqrt(t(i,k)))/((t(i,k))+120.)/(den(i,k)))) &
- *sqrt(sqrt(den0/(den(i,k)))))
- coeres = rslope2(i,k,2)*sqrt(rslope(i,k,2)*rslopeb(i,k,2))
- psmlt(i,k) = (1.414e3*(1.496e-6*((t(i,k))*sqrt(t(i,k))) &
- /((t(i,k))+120.)/(den(i,k)) )*(den(i,k))) &
- /xlf*(t0c-t(i,k))*pi/2. &
- *n0sfac(i,k)*(precs1*rslope2(i,k,2)+precs2 &
- *work2(i,k)*coeres)
- psmlt(i,k) = min(max(psmlt(i,k)*dtcld/mstep(i), &
- -qrs(i,k,2)/mstep(i)),0.)
- qrs(i,k,2) = qrs(i,k,2) + psmlt(i,k)
- qrs(i,k,1) = qrs(i,k,1) - psmlt(i,k)
- t(i,k) = t(i,k) + xlf/cpm(i,k)*psmlt(i,k)
- endif
- enddo
- enddo
- !---------------------------------------------------------------
- ! Vice [ms-1] : fallout of ice crystal [HDC 5a]
- !---------------------------------------------------------------
- do k = kte, kts, -1
- do i = its, ite
- if(qci(i,k,2).le.0.) then
- work1c(i,k) = 0.
- else
- xmi = den(i,k)*qci(i,k,2)/xni(i,k)
- diameter = max(min(dicon * sqrt(xmi),dimax), 1.e-25)
- work1c(i,k) = 1.49e4*exp(log(diameter)*(1.31))
- endif
- enddo
- enddo
- !
- ! forward semi-laglangian scheme (JH), PCM (piecewise constant), (linear)
- !
- do k = kte, kts, -1
- do i = its, ite
- denqci(i,k) = den(i,k)*qci(i,k,2)
- enddo
- enddo
- call nislfv_rain_plm(idim,kdim,den_tmp,denfac,t,delz_tmp,work1c,denqci, &
- delqi,dtcld,1,0)
- do k = kts, kte
- do i = its, ite
- qci(i,k,2) = max(denqci(i,k)/den(i,k),0.)
- enddo
- enddo
- do i = its, ite
- fallc(i,1) = delqi(i)/delz(i,1)/dtcld
- enddo
- !
- !----------------------------------------------------------------
- ! 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)+fallc(i,1)
- fallsum_qsi = fall(i,1,2)+fallc(i,1)
- if(fallsum.gt.0.) then
- rainncv(i) = fallsum*delz(i,1)/denr*dtcld*1000. + rainncv(i)
- rain(i) = fallsum*delz(i,1)/denr*dtcld*1000. + rain(i)
- endif
- if(fallsum_qsi.gt.0.) then
- tstepsnow(i) = fallsum_qsi*delz(i,kts)/denr*dtcld*1000. &
- +tstepsnow(i)
- IF ( PRESENT (snowncv) .AND. PRESENT (snow)) THEN
- snowncv(i,lat) = fallsum_qsi*delz(i,kts)/denr*dtcld*1000. &
- +snowncv(i,lat)
- snow(i,lat) = fallsum_qsi*delz(i,kts)/denr*dtcld*1000. + snow(i,lat)
- ENDIF
- endif
- ! if(fallsum.gt.0.)sr(i)=snowncv(i,lat)/(rainncv(i)+1.e-12)
- if(fallsum.gt.0.)sr(i)=tstepsnow(i)/(rainncv(i)+1.e-12)
- enddo
- !
- !---------------------------------------------------------------
- ! pimlt: instantaneous melting of cloud ice [HL A47] [RH83 A28]
- ! (T>T0: I->C)
- !---------------------------------------------------------------
- do k = kts, kte
- do i = its, ite
- supcol = t0c-t(i,k)
- xlf = xls-xl(i,k)
- if(supcol.lt.0.) xlf = xlf0
- if(supcol.lt.0.and.qci(i,k,2).gt.0.) 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.
- endif
- !---------------------------------------------------------------
- ! pihmf: homogeneous freezing of cloud water below -40c [HL A45]
- ! (T<-40C: C->I)
- !---------------------------------------------------------------
- if(supcol.gt.40..and.qci(i,k,1).gt.0.) 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.
- endif
- !---------------------------------------------------------------
- ! pihtf: heterogeneous freezing of cloud water [HL A44]
- ! (T0>T>-40C: C->I)
- !---------------------------------------------------------------
- if(supcol.gt.0..and.qci(i,k,1).gt.0.) then
- supcolt=min(supcol,50.)
- ! pfrzdtc = min(pfrz1*(exp(pfrz2*supcol)-1.) &
- ! *den(i,k)/denr/xncr*qci(i,k,1)**2*dtcld,qci(i,k,1))
- pfrzdtc = min(pfrz1*(exp(pfrz2*supcolt)-1.) &
- *den(i,k)/denr/xncr*qci(i,k,1)*qci(i,k,1)*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
- endif
- !---------------------------------------------------------------
- ! psfrz: freezing of rain water [HL A20] [LFO 45]
- ! (T<T0, R->S)
- !---------------------------------------------------------------
- if(supcol.gt.0..and.qrs(i,k,1).gt.0.) then
- supcolt=min(supcol,50.)
- ! pfrzdtr = min(20.*pi**2*pfrz1*n0r*denr/den(i,k) &
- ! *(exp(pfrz2*supcol)-1.)*rslope(i,k,1)**7*dtcld, &
- ! qrs(i,k,1))
- temp = rslope(i,k,1)
- temp = temp*temp*temp*temp*temp*temp*temp
- pfrzdtr = min(20.*(pi*pi)*pfrz1*n0r*denr/den(i,k) &
- *(exp(pfrz2*supcolt)-1.)*temp*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
- endif
- enddo
- enddo
- !
- !----------------------------------------------------------------
- ! update the slope parameters for microphysics computation
- !
- do k = kts, kte
- do i = its, ite
- qrs_tmp(i,k,1) = qrs(i,k,1)
- qrs_tmp(i,k,2) = qrs(i,k,2)
- enddo
- enddo
- call slope_wsm5(qrs_tmp,den_tmp,denfac,t,rslope,rslopeb,rslope2,rslope3, &
- work1,its,ite,kts,kte)
- !------------------------------------------------------------------
- ! 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
- ! work1(i,k,1) = diffac(xl(i,k),p(i,k),t(i,k),den(i,k),qs(i,k,1))
- work1(i,k,1) = ((((den(i,k))*(xl(i,k))*(xl(i,k)))*((t(i,k))+120.) &
- *(den(i,k)))/(1.414e3*(1.496e-6*((t(i,k))*sqrt(t(i,k))))&
- *(den(i,k))*(rv*(t(i,k))*(t(i,k))))) &
- + p(i,k)/((qs(i,k,1))*(8.794e-5*exp(log(t(i,k))*(1.81))))
- ! work1(i,k,2) = diffac(xls,p(i,k),t(i,k),den(i,k),qs(i,k,2))
- work1(i,k,2) = ((((den(i,k))*(xls)*(xls))*((t(i,k))+120.)*(den(i,k)))&
- /(1.414e3*(1.496e-6*((t(i,k))*sqrt(t(i,k))))*(den(i,k)) &
- *(rv*(t(i,k))*(t(i,k)))) &
- + p(i,k)/(qs(i,k,2)*(8.794e-5*exp(log(t(i,k))*(1.81)))))
- ! work2(i,k) = venfac(p(i,k),t(i,k),den(i,k))
- work2(i,k) = (exp(.3333333*log(((1.496e-6 * ((t(i,k))*sqrt(t(i,k)))) &
- *p(i,k))/(((t(i,k))+120.)*den(i,k)*(8.794e-5 &
- *exp(log(t(i,k))*(1.81))))))*sqrt(sqrt(den0/(den(i,k))))) &
- /sqrt((1.496e-6*((t(i,k))*sqrt(t(i,k)))) &
- /(((t(i,k))+120.)*den(i,k)))
- enddo
- enddo
- !
- !===============================================================
- !
- ! warm rain processes
- !
- ! - follows the processes in RH83 and LFO except for autoconcersion
- !
- !===============================================================
- !
- do k = kts, kte
- do i = its, ite
- supsat = max(q(i,k),qmin)-qs(i,k,1)
- satdt = supsat/dtcld
- !---------------------------------------------------------------
- ! praut: auto conversion rate from cloud to rain [HDC 16]
- ! (C->R)
- !---------------------------------------------------------------
- if(qci(i,k,1).gt.qc0) then
- praut(i,k) = qck1*exp(log(qci(i,k,1))*((7./3.)))
- praut(i,k) = min(praut(i,k),qci(i,k,1)/dtcld)
- endif
- !---------------------------------------------------------------
- ! pracw: accretion of cloud water by rain [HL A40] [LFO 51]
- ! (C->R)
- !---------------------------------------------------------------
- if(qrs(i,k,1).gt.qcrmin.and.qci(i,k,1).gt.qmin) then
- pracw(i,k) = min(pacrr*rslope3(i,k,1)*rslopeb(i,k,1) &
- *qci(i,k,1)*denfac(i,k),qci(i,k,1)/dtcld)
- endif
- !---------------------------------------------------------------
- ! prevp: evaporation/condensation rate of rain [HDC 14]
- ! (V->R or R->V)
- !---------------------------------------------------------------
- if(qrs(i,k,1).gt.0.) then
- coeres = rslope2(i,k,1)*sqrt(rslope(i,k,1)*rslopeb(i,k,1))
- prevp(i,k) = (rh(i,k,1)-1.)*(precr1*rslope2(i,k,1) &
- +precr2*work2(i,k)*coeres)/work1(i,k,1)
- if(prevp(i,k).lt.0.) then
- prevp(i,k) = max(prevp(i,k),-qrs(i,k,1)/dtcld)
- prevp(i,k) = max(prevp(i,k),satdt/2)
- else
- prevp(i,k) = min(prevp(i,k),satdt/2)
- endif
- endif
- enddo
- enddo
- !
- !===============================================================
- !
- ! cold rain processes
- !
- ! - follows the revised ice microphysics processes in HDC
- ! - the processes same as in RH83 and RH84 and LFO behave
- ! following ice crystal hapits defined in HDC, inclduing
- ! intercept parameter for snow (n0s), ice crystal number
- ! concentration (ni), ice nuclei number concentration
- ! (n0i), ice diameter (d)
- !
- !===============================================================
- !
- rdtcld = 1./dtcld
- do k = kts, kte
- do i = its, ite
- supcol = t0c-t(i,k)
- n0sfac(i,k) = max(min(exp(alpha*supcol),n0smax/n0s),1.)
- supsat = max(q(i,k),qmin)-qs(i,k,2)
- satdt = supsat/dtcld
- ifsat = 0
- !-------------------------------------------------------------
- ! Ni: ice crystal number concentraiton [HDC 5c]
- !-------------------------------------------------------------
- ! xni(i,k) = min(max(5.38e7*(den(i,k) &
- ! *max(qci(i,k,2),qmin))**0.75,1.e3),1.e6)
- temp = (den(i,k)*max(qci(i,k,2),qmin))
- temp = sqrt(sqrt(temp*temp*temp))
- xni(i,k) = min(max(5.38e7*temp,1.e3),1.e6)
- eacrs = exp(0.07*(-supcol))
- !
- if(supcol.gt.0) then
- if(qrs(i,k,2).gt.qcrmin.and.qci(i,k,2).gt.qmin) then
- xmi = den(i,k)*qci(i,k,2)/xni(i,k)
- diameter = min(dicon * sqrt(xmi),dimax)
- vt2i = 1.49e4*diameter**1.31
- vt2s = pvts*rslopeb(i,k,2)*denfac(i,k)
- !-------------------------------------------------------------
- ! psaci: Accretion of cloud ice by rain [HDC 10]
- ! (T<T0: I->S)
- !-------------------------------------------------------------
- acrfac = 2.*rslope3(i,k,2)+2.*diameter*rslope2(i,k,2) &
- +diameter**2*rslope(i,k,2)
- psaci(i,k) = pi*qci(i,k,2)*eacrs*n0s*n0sfac(i,k) &
- *abs(vt2s-vt2i)*acrfac/4.
- endif
- endif
- !-------------------------------------------------------------
- ! psacw: Accretion of cloud water by snow [HL A7] [LFO 24]
- ! (T<T0: C->S, and T>=T0: C->R)
- !-------------------------------------------------------------
- if(qrs(i,k,2).gt.qcrmin.and.qci(i,k,1).gt.qmin) then
- psacw(i,k) = min(pacrc*n0sfac(i,k)*rslope3(i,k,2) &
- *rslopeb(i,k,2)*qci(i,k,1)*denfac(i,k) &
- ! ,qci(i,k,1)/dtcld)
- ,qci(i,k,1)*rdtcld)
- endif
- if(supcol .gt. 0) then
- !-------------------------------------------------------------
- ! pidep: Deposition/Sublimation rate of ice [HDC 9]
- ! (T<T0: V->I or I->V)
- !-------------------------------------------------------------
- if(qci(i,k,2).gt.0.and.ifsat.ne.1) then
- xmi = den(i,k)*qci(i,k,2)/xni(i,k)
- diameter = dicon * sqrt(xmi)
- pidep(i,k) = 4.*diameter*xni(i,k)*(rh(i,k,2)-1.)/work1(i,k,2)
- supice = satdt-prevp(i,k)
- if(pidep(i,k).lt.0.) then
- ! pidep(i,k) = max(max(pidep(i,k),satdt/2),supice)
- ! pidep(i,k) = max(pidep(i,k),-qci(i,k,2)/dtcld)
- pidep(i,k) = max(max(pidep(i,k),satdt*.5),supice)
- pidep(i,k) = max(pidep(i,k),-qci(i,k,2)*rdtcld)
- else
- ! pidep(i,k) = min(min(pidep(i,k),satdt/2),supice)
- pidep(i,k) = min(min(pidep(i,k),satdt*.5),supice)
- endif
- if(abs(prevp(i,k)+pidep(i,k)).ge.abs(satdt)) ifsat = 1
- endif
- !-------------------------------------------------------------
- ! psdep: deposition/sublimation rate of snow [HDC 14]
- ! (V->S or S->V)
- !-------------------------------------------------------------
- if(qrs(i,k,2).gt.0..and.ifsat.ne.1) then
- coeres = rslope2(i,k,2)*sqrt(rslope(i,k,2)*rslopeb(i,k,2))
- psdep(i,k) = (rh(i,k,2)-1.)*n0sfac(i,k) &
- *(precs1*rslope2(i,k,2)+precs2 &
- *work2(i,k)*coeres)/work1(i,k,2)
- supice = satdt-prevp(i,k)-pidep(i,k)
- if(psdep(i,k).lt.0.) then
- ! psdep(i,k) = max(psdep(i,k),-qrs(i,k,2)/dtcld)
- ! psdep(i,k) = max(max(psdep(i,k),satdt/2),supice)
- psdep(i,k) = max(psdep(i,k),-qrs(i,k,2)*rdtcld)
- psdep(i,k) = max(max(psdep(i,k),satdt*.5),supice)
- else
- ! psdep(i,k) = min(min(psdep(i,k),satdt/2),supice)
- psdep(i,k) = min(min(psdep(i,k),satdt*.5),supice)
- endif
- if(abs(prevp(i,k)+pidep(i,k)+psdep(i,k)).ge.abs(satdt)) &
- ifsat = 1
- endif
- !-------------------------------------------------------------
- ! pigen: generation(nucleation) of ice from vapor [HL A50] [HDC 7-8]
- ! (T<T0: V->I)
- !-------------------------------------------------------------
- if(supsat.gt.0.and.ifsat.ne.1) then
- supice = satdt-prevp(i,k)-pidep(i,k)-psdep(i,k)
- xni0 = 1.e3*exp(0.1*supcol)
- roqi0 = 4.92e-11*exp(log(xni0)*(1.33))
- pigen(i,k) = max(0.,(roqi0/den(i,k)-max(qci(i,k,2),0.)) &
- ! /dtcld)
- *rdtcld)
- pigen(i,k) = min(min(pigen(i,k),satdt),supice)
- endif
- !
- !-------------------------------------------------------------
- ! psaut: conversion(aggregation) of ice to snow [HDC 12]
- ! (T<T0: I->S)
- !-------------------------------------------------------------
- if(qci(i,k,2).gt.0.) then
- qimax = roqimax/den(i,k)
- ! psaut(i,k) = max(0.,(qci(i,k,2)-qimax)/dtcld)
- psaut(i,k) = max(0.,(qci(i,k,2)-qimax)*rdtcld)
- endif
- endif
- !-------------------------------------------------------------
- ! psevp: Evaporation of melting snow [HL A35] [RH83 A27]
- ! (T>T0: S->V)
- !-------------------------------------------------------------
- if(supcol.lt.0.) then
- if(qrs(i,k,2).gt.0..and.rh(i,k,1).lt.1.) &
- psevp(i,k) = psdep(i,k)*work1(i,k,2)/work1(i,k,1)
- ! psevp(i,k) = min(max(psevp(i,k),-qrs(i,k,2)/dtcld),0.)
- psevp(i,k) = min(max(psevp(i,k),-qrs(i,k,2)*rdtcld),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(qmin,qci(i,k,1))
- source = (praut(i,k)+pracw(i,k)+psacw(i,k))*dtcld
- if (source.gt.value) then
- factor = value/source
- praut(i,k) = praut(i,k)*factor
- pracw(i,k) = pracw(i,k)*factor
- psacw(i,k) = psacw(i,k)*factor
- endif
- !
- ! cloud ice
- !
- value = max(qmin,qci(i,k,2))
- source = (psaut(i,k)+psaci(i,k)-pigen(i,k)-pidep(i,k))*dtcld
- if (source.gt.value) then
- factor = value/source
- psaut(i,k) = psaut(i,k)*factor
- psaci(i,k) = psaci(i,k)*factor
- pigen(i,k) = pigen(i,k)*factor
- pidep(i,k) = pidep(i,k)*factor
- endif
- !
- ! rain
- !
- !
- value = max(qmin,qrs(i,k,1))
- source = (-praut(i,k)-pracw(i,k)-prevp(i,k))*dtcld
- if (source.gt.value) then
- factor = value/source
- praut(i,k) = praut(i,k)*factor
- pracw(i,k) = pracw(i,k)*factor
- prevp(i,k) = prevp(i,k)*factor
- endif
- !
- ! snow
- !
- value = max(qmin,qrs(i,k,2))
- source = (-psdep(i,k)-psaut(i,k)-psaci(i,k)-psacw(i,k))*dtcld
- if (source.gt.value) then
- factor = value/source
- psdep(i,k) = psdep(i,k)*factor
- psaut(i,k) = psaut(i,k)*factor
- psaci(i,k) = psaci(i,k)*factor
- psacw(i,k) = psacw(i,k)*factor
- endif
- !
- work2(i,k)=-(prevp(i,k)+psdep(i,k)+pigen(i,k)+pidep(i,k))
- ! update
- q(i,k) = q(i,k)+work2(i,k)*dtcld
- qci(i,k,1) = max(qci(i,k,1)-(praut(i,k)+pracw(i,k) &
- +psacw(i,k))*dtcld,0.)
- qrs(i,k,1) = max(qrs(i,k,1)+(praut(i,k)+pracw(i,k) &
- +prevp(i,k))*dtcld,0.)
- qci(i,k,2) = max(qci(i,k,2)-(psaut(i,k)+psaci(i,k) &
- -pigen(i,k)-pidep(i,k))*dtcld,0.)
- qrs(i,k,2) = max(qrs(i,k,2)+(psdep(i,k)+psaut(i,k) &
- +psaci(i,k)+psacw(i,k))*dtcld,0.)
- xlf = xls-xl(i,k)
- xlwork2 = -xls*(psdep(i,k)+pidep(i,k)+pigen(i,k)) &
- -xl(i,k)*prevp(i,k)-xlf*psacw(i,k)
- t(i,k) = t(i,k)-xlwork2/cpm(i,k)*dtcld
- else
- !
- ! cloud water
- !
- value = max(qmin,qci(i,k,1))
- source=(praut(i,k)+pracw(i,k)+psacw(i,k))*dtcld
- if (source.gt.value) then
- factor = value/source
- praut(i,k) = praut(i,k)*factor
- pracw(i,k) = pracw(i,k)*factor
- psacw(i,k) = psacw(i,k)*factor
- endif
- !
- ! rain
- !
- value = max(qmin,qrs(i,k,1))
- source = (-praut(i,k)-pracw(i,k)-prevp(i,k)-psacw(i,k))*dtcld
- if (source.gt.value) then
- factor = value/source
- praut(i,k) = praut(i,k)*factor
- pracw(i,k) = pracw(i,k)*factor
- prevp(i,k) = prevp(i,k)*factor
- psacw(i,k) = psacw(i,k)*factor
- endif
- !
- ! snow
- !
- value = max(qcrmin,qrs(i,k,2))
- source=(-psevp(i,k))*dtcld
- if (source.gt.value) then
- factor = value/source
- psevp(i,k) = psevp(i,k)*factor
- endif
- work2(i,k)=-(prevp(i,k)+psevp(i,k))
- ! update
- q(i,k) = q(i,k)+work2(i,k)*dtcld
- qci(i,k,1) = max(qci(i,k,1)-(praut(i,k)+pracw(i,k) &
- +psacw(i,k))*dtcld,0.)
- qrs(i,k,1) = max(qrs(i,k,1)+(praut(i,k)+pracw(i,k) &
- +prevp(i,k) +psacw(i,k))*dtcld,0.)
- qrs(i,k,2) = max(qrs(i,k,2)+psevp(i,k)*dtcld,0.)
- xlf = xls-xl(i,k)
- xlwork2 = -xl(i,k)*(prevp(i,k)+psevp(i,k))
- t(i,k) = t(i,k)-xlwork2/cpm(i,k)*dtcld
- endif
- enddo
- enddo
- !
- ! Inline expansion for fpvs
- ! qs(i,k,1) = fpvs(t(i,k),0,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c)
- ! qs(i,k,2) = fpvs(t(i,k),1,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c)
- hsub = xls
- hvap = xlv0
- cvap = cpv
- ttp=t0c+0.01
- dldt=cvap-cliq
- xa=-dldt/rv
- xb=xa+hvap/(rv*ttp)
- dldti=cvap-cice
- xai=-dldti/rv
- xbi=xai+hsub/(rv*ttp)
- do k = kts, kte
- do i = its, ite
- tr=ttp/t(i,k)
- logtr = log(tr)
- qs(i,k,1)=psat*exp(logtr*(xa)+xb*(1.-tr))
- qs(i,k,1) = min(qs(i,k,1),0.99*p(i,k))
- 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)
- enddo
- enddo
- !
- !----------------------------------------------------------------
- ! pcond: condensational/evaporational rate o…
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