/wrfv2_fire/phys/module_mp_wsm3_accel.F
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- #if ( RWORDSIZE == 4 )
- # define VREC vsrec
- # define VSQRT vssqrt
- #else
- # define VREC vrec
- # define VSQRT vsqrt
- #endif
- MODULE module_mp_wsm3
- !
- !
- 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 :: qcrmin = 1.e-9 ! minimun values for qr, qs, and qg
- 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, &
- rslopermax,rslopesmax,rslopegmax, &
- rsloperbmax,rslopesbmax,rslopegbmax, &
- rsloper2max,rslopes2max,rslopeg2max, &
- rsloper3max,rslopes3max,rslopeg3max
- !
- ! Specifies code-inlining of fpvs function in WSM32D below. JM 20040507
- !
- CONTAINS
- !===================================================================
- !
- SUBROUTINE wsm3(th, q, qci, qrs &
- , w, 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 &
- )
- !-------------------------------------------------------------------
- #ifdef _OPENMP
- use omp_lib
- #endif
- IMPLICIT NONE
- !-------------------------------------------------------------------
- !
- !
- ! This code is a 3-class simple ice microphyiscs scheme (WSM3) of the WRF
- ! 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.
- !
- ! WSM3 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.
- ! Dudhia (D89, 1989) 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
- REAL, DIMENSION( ims:ime , kms:kme , jms:jme ), &
- INTENT(INOUT) :: &
- th, &
- q, &
- qci, &
- qrs
- REAL, DIMENSION( ims:ime , kms:kme , jms:jme ), &
- INTENT(IN ) :: w, &
- 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
- REAL, DIMENSION( ims:ime , jms:jme ), OPTIONAL, &
- INTENT(INOUT) :: snow, &
- snowncv, &
- sr
- ! LOCAL VAR
- REAL, DIMENSION( its:ite , kts:kte ) :: t
- INTEGER :: i,j,k
- #ifdef _ACCEL_PROF
- integer :: l
- real*8 wsm3_t(8,256), wsm5_t(8,256), t1, t2
- common /wsm_times/ wsm3_t(8,256), wsm5_t(8,256)
- #endif
- !-------------------------------------------------------------------
- #ifdef _ACCEL_PROF
- call cpu_time(t1)
- #endif
- #ifdef _ACCEL
- CALL wsm32D(th, q, qci, qrs, &
- 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 )
- #else
- DO j=jts,jte
- DO k=kts,kte
- DO i=its,ite
- t(i,k)=th(i,k,j)*pii(i,k,j)
- ENDDO
- ENDDO
- CALL wsm32D(t, q(ims,kms,j), qci(ims,kms,j) &
- ,qrs(ims,kms,j),w(ims,kms,j), 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) &
- ,snow(ims,j),snowncv(ims,j) &
- ,sr(ims,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)
- ENDDO
- ENDDO
- ENDDO
- #endif
- #ifdef _ACCEL_PROF
- call cpu_time(t2)
- #ifdef _OPENMP
- l = omp_get_thread_num() + 1
- #else
- l = 1
- #endif
- wsm3_t(1,l) = wsm3_t(1,l) + (t2 - t1)
- #endif
- END SUBROUTINE wsm3
- #ifdef _ACCEL
- !===================================================================
- !{
- SUBROUTINE wsm32D(th, q, qci, qrs, &
- 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
- !-------------------------------------------------------------------
- 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, ims:ims ), &
- INTENT(INOUT) :: &
- th
- REAL, DIMENSION( ims:ime , kms:kme, ims:ims ), &
- INTENT(IN) :: &
- pii
- REAL, DIMENSION( ims:ime , kms:kme, jms:jme ), &
- INTENT(INOUT) :: &
- q, &
- qci, &
- qrs
- REAL, DIMENSION( ims:ime , kms:kme, jms:jme ), &
- INTENT(IN ) :: w, &
- den, &
- p, &
- delz
- REAL, DIMENSION( ims:ime , jms:jme ), &
- 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
- REAL, DIMENSION( its:ite , kts:kte ) :: &
- rh, qs, denfac, rslope, rslope2, rslope3, rslopeb, &
- pgen, paut, pacr, pisd, pres, pcon, fall, falk, &
- xl, cpm, work1, work2, xni, qs0, n0sfac
- ! LOCAL VAR
- REAL, DIMENSION( its:ite , kts:kte, jts:jte ) :: t
- REAL, DIMENSION( its:ite , kts:kte ) :: &
- falkc, work1c, work2c, fallc
- INTEGER :: mstep, numdt
- LOGICAL, DIMENSION( its:ite ) :: flgcld
- REAL :: pi, &
- cpmcal, xlcal, lamdar, lamdas, diffus, &
- viscos, xka, venfac, conden, diffac, &
- x, y, z, a, b, c, d, e, &
- qdt, pvt, qik, delq, facq, qrsci, frzmlt, &
- snomlt, hold, holdrs, facqci, supcol, coeres, &
- supsat, dtcld, xmi, qciik, delqci, eacrs, satdt, &
- qimax, diameter, xni0, roqi0
- REAL :: holdc, holdci
- INTEGER :: i, k, j, &
- iprt, latd, lond, loop, loops, ifsat, kk, n
- !
- #define INL
- #ifdef INL
- ! Temporaries used for inlining fpvs function
- REAL :: dldti, xb, xai, tr, xbi, xa, hvap, cvap, hsub, dldt, ttp
- #endif
- !=================================================================
- ! 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-9 kg/kg.
- !
- 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.)
- !
- !----------------------------------------------------------------
- ! compute the minor time steps.
- !
- loops = max(int(delt/dtcldcr+0.5),1)
- dtcld = delt/loops
- if(delt.le.dtcldcr) dtcld = delt
- #ifdef INL
- cvap = cpv
- hvap=xlv0
- hsub=xls
- 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)
- #endif
- !
- !----------------------------------------------------------------
- ! paddint 0 for negative values generated by dynamics
- !
- !$acc region &
- !$acc local(t) &
- !$acc copyin(delz(:,:,:),p(:,:,:)) &
- !$acc copyin(den(:,:,:),w(:,:,:)) &
- !$acc copy(q(:,:,:),qci(:,:,:),qrs(:,:,:))
- !$acc do &
- !$acc private(rh,qs,denfac,rslope,rslope2,rslope3,rslopeb) &
- !$acc private(pgen,paut,pacr,pisd,pres,pcon,fall,falk) &
- !$acc private(xl,cpm,work1,work2,xni,qs0,n0sfac) &
- !$acc private(falkc,work1c,work2c,fallc) &
- !$acc parallel
- do j = jts, jte
- !$acc do &
- !$acc private(numdt,mstep) &
- !$acc kernel vector(96)
- do i = its, ite
- do k = kts, kte
- t(i,k,j)=th(i,k,j)*pii(i,k,j)
- qci(i,k,j) = max(qci(i,k,j),0.0)
- qrs(i,k,j) = max(qrs(i,k,j),0.0)
- enddo
- !
- !----------------------------------------------------------------
- ! latent heat for phase changes and heat capacity. neglect the
- ! changes during microphysical process calculation
- ! emanuel(1994)
- !
- do k = kts, kte
- cpm(i,k) = cpmcal(q(i,k,j))
- xl(i,k) = xlcal(t(i,k,j))
- enddo
- !
- do loop = 1,loops
- !
- !----------------------------------------------------------------
- ! initialize the large scale variables
- !
- mstep = 1
- flgcld(i) = .true.
- !
- do k = kts, kte
- denfac(i,k) = sqrt(den0/den(i,k,j))
- enddo
- !
- do k = kts, kte
- #ifndef INL
- qs(i,k) = fpvs(t(i,k,j),1,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c)
- qs0(i,k) = fpvs(t(i,k,j),0,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c)
- #else
- tr=ttp/t(i,k,j)
- if(t(i,k,j).lt.ttp) then
- qs(i,k) =psat*(tr**xai)*exp(xbi*(1.-tr))
- else
- qs(i,k) =psat*(tr**xa)*exp(xb*(1.-tr))
- endif
- qs0(i,k) =psat*(tr**xa)*exp(xb*(1.-tr))
- #endif
- qs0(i,k) = (qs0(i,k)-qs(i,k))/qs(i,k)
- qs(i,k) = ep2 * qs(i,k) / (p(i,k,j) - qs(i,k))
- qs(i,k) = max(qs(i,k),qmin)
- rh(i,k) = max(q(i,k,j) / qs(i,k),qmin)
- enddo
- !
- !----------------------------------------------------------------
- ! initialize the variables for microphysical physics
- !
- !
- do k = kts, kte
- pres(i,k) = 0.
- paut(i,k) = 0.
- pacr(i,k) = 0.
- pgen(i,k) = 0.
- pisd(i,k) = 0.
- pcon(i,k) = 0.
- fall(i,k) = 0.
- falk(i,k) = 0.
- fallc(i,k) = 0.
- falkc(i,k) = 0.
- xni(i,k) = 1.e3
- enddo
- !
- !----------------------------------------------------------------
- ! compute the fallout term:
- ! first, vertical terminal velosity for minor loops
- !---------------------------------------------------------------
- ! n0s: Intercept parameter for snow [m-4] [HDC 6]
- !---------------------------------------------------------------
- do k = kts, kte
- supcol = t0c-t(i,k,j)
- n0sfac(i,k) = max(min(exp(alpha*supcol),n0smax/n0s),1.)
- if(t(i,k,j).ge.t0c) then
- if(qrs(i,k,j).le.qcrmin)then
- rslope(i,k) = rslopermax
- rslopeb(i,k) = rsloperbmax
- rslope2(i,k) = rsloper2max
- rslope3(i,k) = rsloper3max
- else
- rslope(i,k) = 1./lamdar(qrs(i,k,j),den(i,k,j))
- rslopeb(i,k) = rslope(i,k)**bvtr
- rslope2(i,k) = rslope(i,k)*rslope(i,k)
- rslope3(i,k) = rslope2(i,k)*rslope(i,k)
- endif
- else
- if(qrs(i,k,j).le.qcrmin)then
- rslope(i,k) = rslopesmax
- rslopeb(i,k) = rslopesbmax
- rslope2(i,k) = rslopes2max
- rslope3(i,k) = rslopes3max
- else
- rslope(i,k) = 1./lamdas(qrs(i,k,j),den(i,k,j),n0sfac(i,k))
- rslopeb(i,k) = rslope(i,k)**bvts
- rslope2(i,k) = rslope(i,k)*rslope(i,k)
- rslope3(i,k) = rslope2(i,k)*rslope(i,k)
- endif
- endif
- !-------------------------------------------------------------
- ! Ni: ice crystal number concentraiton [HDC 5c]
- !-------------------------------------------------------------
- xni(i,k) = min(max(5.38e7*(den(i,k,j) &
- *max(qci(i,k,j),qmin))**0.75,1.e3),1.e6)
- enddo
- !
- numdt = 1
- do k = kte, kts, -1
- if(t(i,k,j).lt.t0c) then
- pvt = pvts
- else
- pvt = pvtr
- endif
- work1(i,k) = pvt*rslopeb(i,k)*denfac(i,k)
- work2(i,k) = work1(i,k)/delz(i,k,j)
- numdt = max(int(work2(i,k)*dtcld+1.),1)
- if(numdt.ge.mstep) mstep = numdt
- enddo
- !
- do n = 1, mstep
- k = kte
- falk(i,k) = den(i,k,j)*qrs(i,k,j)*work2(i,k)/mstep
- hold = falk(i,k)
- fall(i,k) = fall(i,k)+falk(i,k)
- holdrs = qrs(i,k,j)
- qrs(i,k,j) = max(qrs(i,k,j)-falk(i,k)*dtcld/den(i,k,j),0.)
- do k = kte-1, kts, -1
- falk(i,k) = den(i,k,j)*qrs(i,k,j)*work2(i,k)/mstep
- hold = falk(i,k)
- fall(i,k) = fall(i,k)+falk(i,k)
- holdrs = qrs(i,k,j)
- qrs(i,k,j) = max(qrs(i,k,j)-(falk(i,k) &
- -falk(i,k+1)*delz(i,k+1,j)/delz(i,k,j))*dtcld/den(i,k,j),0.)
- enddo
- enddo
- !---------------------------------------------------------------
- ! Vice [ms-1] : fallout of ice crystal [HDC 5a]
- !---------------------------------------------------------------
- mstep = 1
- numdt = 1
- do k = kte, kts, -1
- if(t(i,k,j).lt.t0c.and.qci(i,k,j).gt.0.) then
- xmi = den(i,k,j)*qci(i,k,j)/xni(i,k)
- diameter = dicon * sqrt(xmi)
- work1c(i,k) = 1.49e4*diameter**1.31
- else
- work1c(i,k) = 0.
- endif
- if(qci(i,k,j).le.0.) then
- work2c(i,k) = 0.
- else
- work2c(i,k) = work1c(i,k)/delz(i,k,j)
- endif
- numdt = max(int(work2c(i,k)*dtcld+1.),1)
- if(numdt.ge.mstep) mstep = numdt
- enddo
- !
- do n = 1, mstep
- k = kte
- falkc(i,k) = den(i,k,j)*qci(i,k,j)*work2c(i,k)/mstep
- holdc = falkc(i,k)
- fallc(i,k) = fallc(i,k)+falkc(i,k)
- holdci = qci(i,k,j)
- qci(i,k,j) = max(qci(i,k,j)-falkc(i,k)*dtcld/den(i,k,j),0.)
- do k = kte-1, kts, -1
- falkc(i,k) = den(i,k,j)*qci(i,k,j)*work2c(i,k)/mstep
- holdc = falkc(i,k)
- fallc(i,k) = fallc(i,k)+falkc(i,k)
- holdci = qci(i,k,j)
- qci(i,k,j) = max(qci(i,k,j)-(falkc(i,k) &
- -falkc(i,k+1)*delz(i,k+1,j)/delz(i,k,j))*dtcld/den(i,k,j),0.)
- enddo
- enddo
- !
- !----------------------------------------------------------------
- ! compute the freezing/melting term. [D89 B16-B17]
- ! freezing occurs one layer above the melting level
- !
- mstep = 0
- !
- do k = kts, kte
- if(t(i,k,j).ge.t0c) then
- mstep = k
- endif
- enddo
- !
- if(mstep.ne.0.and.w(i,mstep,j).gt.0.) then
- work1(i,1) = float(mstep + 1)
- work1(i,2) = float(mstep)
- else
- work1(i,1) = float(mstep)
- work1(i,2) = float(mstep)
- endif
- !
- k = int(work1(i,1)+0.5)
- kk = int(work1(i,2)+0.5)
- if(k*kk.ge.1) then
- qrsci = qrs(i,k,j) + qci(i,k,j)
- if(qrsci.gt.0..or.fall(i,kk).gt.0.) then
- frzmlt = min(max(-w(i,k,j)*qrsci/delz(i,k,j),-qrsci/dtcld), &
- qrsci/dtcld)
- snomlt = min(max(fall(i,kk)/den(i,kk,j),-qrs(i,k,j)/dtcld), &
- qrs(i,k,j)/dtcld)
- if(k.eq.kk) then
- t(i,k,j) = t(i,k,j) - xlf0/cpm(i,k)*(frzmlt+snomlt)*dtcld
- else
- t(i,k,j) = t(i,k,j) - xlf0/cpm(i,k)*frzmlt*dtcld
- t(i,kk,j) = t(i,kk,j) - xlf0/cpm(i,kk)*snomlt*dtcld
- endif
- endif
- endif
- !
- !----------------------------------------------------------------
- ! rain (unit is mm/sec;kgm-2s-1: /1000*delt ===> m)==> mm for wrf
- !
- if(fall(i,1).gt.0.) then
- rainncv(i,j) = fall(i,1)*delz(i,1,j)/denr*dtcld*1000.
- rain(i,j) = fall(i,1)*delz(i,1,j)/denr*dtcld*1000. &
- + rain(i,j)
- endif
- !
- !----------------------------------------------------------------
- ! rsloper: reverse of the slope parameter of the rain(m,j)
- ! 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
- if(t(i,k,j).ge.t0c) then
- if(qrs(i,k,j).le.qcrmin)then
- rslope(i,k) = rslopermax
- rslopeb(i,k) = rsloperbmax
- rslope2(i,k) = rsloper2max
- rslope3(i,k) = rsloper3max
- else
- rslope(i,k) = 1./lamdar(qrs(i,k,j),den(i,k,j))
- rslopeb(i,k) = rslope(i,k)**bvtr
- rslope2(i,k) = rslope(i,k)*rslope(i,k)
- rslope3(i,k) = rslope2(i,k)*rslope(i,k)
- endif
- else
- if(qrs(i,k,j).le.qcrmin)then
- rslope(i,k) = rslopesmax
- rslopeb(i,k) = rslopesbmax
- rslope2(i,k) = rslopes2max
- rslope3(i,k) = rslopes3max
- else
- rslope(i,k) = 1./lamdas(qrs(i,k,j),den(i,k,j),n0sfac(i,k))
- rslopeb(i,k) = rslope(i,k)**bvts
- rslope2(i,k) = rslope(i,k)*rslope(i,k)
- rslope3(i,k) = rslope2(i,k)*rslope(i,k)
- endif
- endif
- enddo
- !
- do k = kts, kte
- if(t(i,k,j).ge.t0c) then
- work1(i,k) = diffac(xl(i,k),p(i,k,j),t(i,k,j),den(i,k,j),qs(i,k))
- else
- work1(i,k) = diffac(xls,p(i,k,j),t(i,k,j),den(i,k,j),qs(i,k))
- endif
- work2(i,k) = venfac(p(i,k,j),t(i,k,j),den(i,k,j))
- enddo
- !
- do k = kts, kte
- supsat = max(q(i,k,j),qmin)-qs(i,k)
- satdt = supsat/dtcld
- if(t(i,k,j).ge.t0c) then
- !
- !===============================================================
- !
- ! warm rain processes
- !
- ! - follows the processes in RH83 and LFO except for autoconcersion
- !
- !===============================================================
- !---------------------------------------------------------------
- ! paut1: auto conversion rate from cloud to rain [HDC 16]
- ! (C->R)
- !---------------------------------------------------------------
- if(qci(i,k,j).gt.qc0) then
- paut(i,k) = qck1*qci(i,k,j)**(7./3.)
- paut(i,k) = min(paut(i,k),qci(i,k,j)/dtcld)
- endif
- !---------------------------------------------------------------
- ! pracw: accretion of cloud water by rain [D89 B15]
- ! (C->R)
- !---------------------------------------------------------------
- if(qrs(i,k,j).gt.qcrmin.and.qci(i,k,j).gt.qmin) then
- pacr(i,k) = min(pacrr*rslope3(i,k)*rslopeb(i,k) &
- *qci(i,k,j)*denfac(i,k),qci(i,k,j)/dtcld)
- endif
- !---------------------------------------------------------------
- ! pres1: evaporation/condensation rate of rain [HDC 14]
- ! (V->R or R->V)
- !---------------------------------------------------------------
- if(qrs(i,k,j).gt.0.) then
- coeres = rslope2(i,k)*sqrt(rslope(i,k)*rslopeb(i,k))
- pres(i,k) = (rh(i,k)-1.)*(precr1*rslope2(i,k) &
- +precr2*work2(i,k)*coeres)/work1(i,k)
- if(pres(i,k).lt.0.) then
- pres(i,k) = max(pres(i,k),-qrs(i,k,j)/dtcld)
- pres(i,k) = max(pres(i,k),satdt/2)
- else
- pres(i,k) = min(pres(i,k),satdt/2)
- endif
- endif
- else
- !
- !===============================================================
- !
- ! cold rain processes
- !
- ! - follows the revised ice microphysics processes in HDC
- ! - the processes same as in RH83 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)
- !
- !===============================================================
- !
- supcol = t0c-t(i,k,j)
- ifsat = 0
- !-------------------------------------------------------------
- ! Ni: ice crystal number concentraiton [HDC 5c]
- !-------------------------------------------------------------
- xni(i,k) = min(max(5.38e7*(den(i,k,j) &
- *max(qci(i,k,j),qmin))**0.75,1.e3),1.e6)
- eacrs = exp(0.05*(-supcol))
- !
- if(qrs(i,k,j).gt.qcrmin.and.qci(i,k,j).gt.qmin) then
- pacr(i,k) = min(pacrs*n0sfac(i,k)*eacrs*rslope3(i,k) &
- *rslopeb(i,k)*qci(i,k,j)*denfac(i,k),qci(i,k,j)/dtcld)
- endif
- !-------------------------------------------------------------
- ! pisd: Deposition/Sublimation rate of ice [HDC 9]
- ! (T<T0: V->I or I->V)
- !-------------------------------------------------------------
- if(qci(i,k,j).gt.0.) then
- xmi = den(i,k,j)*qci(i,k,j)/xni(i,k)
- diameter = dicon * sqrt(xmi)
- pisd(i,k) = 4.*diameter*xni(i,k)*(rh(i,k)-1.) &
- /work1(i,k)
- if(pisd(i,k).lt.0.) then
- pisd(i,k) = max(pisd(i,k),satdt/2)
- pisd(i,k) = max(pisd(i,k),-qci(i,k,j)/dtcld)
- else
- pisd(i,k) = min(pisd(i,k),satdt/2)
- endif
- if(abs(pisd(i,k)).ge.abs(satdt)) ifsat = 1
- endif
- !-------------------------------------------------------------
- ! pres2: deposition/sublimation rate of snow [HDC 14]
- ! (V->S or S->V)
- !-------------------------------------------------------------
- if(qrs(i,k,j).gt.0..and.ifsat.ne.1) then
- coeres = rslope2(i,k)*sqrt(rslope(i,k)*rslopeb(i,k))
- pres(i,k) = (rh(i,k)-1.)*n0sfac(i,k)*(precs1*rslope2(i,k) &
- +precs2*work2(i,k)*coeres)/work1(i,k)
- if(pres(i,k).lt.0.) then
- pres(i,k) = max(pres(i,k),-qrs(i,k,j)/dtcld)
- pres(i,k) = max(pres(i,k),satdt/2)
- else
- pres(i,k) = min(pres(i,k),satdt/2)
- endif
- if(abs(pisd(i,k)+pres(i,k)).ge.abs(satdt)) ifsat = 1
- endif
- !-------------------------------------------------------------
- ! pgen: generation(nucleation) of ice from vapor [HDC 7-8]
- ! (T<T0: V->I)
- !-------------------------------------------------------------
- if(supsat.gt.0.and.ifsat.ne.1) then
- xni0 = 1.e3*exp(0.1*supcol)
- roqi0 = 4.92e-11*xni0**1.33
- pgen(i,k) = max(0.,(roqi0/den(i,k,j)-max(qci(i,k,j),0.))/dtcld)
- pgen(i,k) = min(pgen(i,k),satdt)
- endif
- !-------------------------------------------------------------
- ! paut2: conversion(aggregation) of ice to snow [HDC 12]
- ! (T<T0: I->S)
- !-------------------------------------------------------------
- if(qci(i,k,j).gt.0.) then
- qimax = roqimax/den(i,k,j)
- paut(i,k) = max(0.,(qci(i,k,j)-qimax)/dtcld)
- endif
- endif
- enddo
- !
- !----------------------------------------------------------------
- ! check mass conservation of generation terms and feedback to the
- ! large scale
- !
- do k = kts, kte
- qciik = max(qmin,qci(i,k,j))
- delqci = (paut(i,k)+pacr(i,k)-pgen(i,k)-pisd(i,k))*dtcld
- if(delqci.ge.qciik) then
- facqci = qciik/delqci
- paut(i,k) = paut(i,k)*facqci
- pacr(i,k) = pacr(i,k)*facqci
- pgen(i,k) = pgen(i,k)*facqci
- pisd(i,k) = pisd(i,k)*facqci
- endif
- qik = max(qmin,q(i,k,j))
- delq = (pres(i,k)+pgen(i,k)+pisd(i,k))*dtcld
- if(delq.ge.qik) then
- facq = qik/delq
- pres(i,k) = pres(i,k)*facq
- pgen(i,k) = pgen(i,k)*facq
- pisd(i,k) = pisd(i,k)*facq
- endif
- work2(i,k) = -pres(i,k)-pgen(i,k)-pisd(i,k)
- q(i,k,j) = q(i,k,j)+work2(i,k)*dtcld
- qci(i,k,j) = max(qci(i,k,j)-(paut(i,k)+pacr(i,k)-pgen(i,k) &
- -pisd(i,k))*dtcld,0.)
- qrs(i,k,j) = max(qrs(i,k,j)+(paut(i,k)+pacr(i,k) &
- +pres(i,k))*dtcld,0.)
- if(t(i,k,j).lt.t0c) then
- t(i,k,j) = t(i,k,j)-xls*work2(i,k)/cpm(i,k)*dtcld
- else
- t(i,k,j) = t(i,k,j)-xl(i,k)*work2(i,k)/cpm(i,k)*dtcld
- endif
- enddo
- !
- do k = kts, kte
- #ifndef INL
- qs(i,k) = fpvs(t(i,k,j),0,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c)
- #else
- tr=ttp/t(i,k,j)
- qs(i,k)=psat*(tr**xa)*exp(xb*(1.-tr))
- #endif
- qs(i,k) = ep2 * qs(i,k) / (p(i,k,j) - qs(i,k))
- qs(i,k) = max(qs(i,k),qmin)
- denfac(i,k) = sqrt(den0/den(i,k,j))
- enddo
- !
- !----------------------------------------------------------------
- ! pcon: condensational/evaporational rate of cloud water [RH83 A6]
- ! if there exists additional water vapor condensated/if
- ! evaporation of cloud water is not enough to remove subsaturation
- !
- do k = kts, kte
- work1(i,k) = conden(t(i,k,j),q(i,k,j),qs(i,k),xl(i,k),cpm(i,k))
- work2(i,k) = qci(i,k,j)+work1(i,k)
- pcon(i,k) = min(max(work1(i,k),0.),max(q(i,k,j),0.))/dtcld
- if(qci(i,k,j).gt.0..and.work1(i,k).lt.0.and.t(i,k,j).gt.t0c) &
- pcon(i,k) = max(work1(i,k),-qci(i,k,j))/dtcld
- q(i,k,j) = q(i,k,j)-pcon(i,k)*dtcld
- qci(i,k,j) = max(qci(i,k,j)+pcon(i,k)*dtcld,0.)
- t(i,k,j) = t(i,k,j)+pcon(i,k)*xl(i,k)/cpm(i,k)*dtcld
- enddo
- !
- !----------------------------------------------------------------
- ! padding for small values
- !
- do k = kts, kte
- if(qci(i,k,j).le.qmin) qci(i,k,j) = 0.0
- enddo
- !
- enddo ! big loops
- DO K=kts,kte
- th(i,k,j)=t(i,k,j)/pii(i,k,j)
- ENDDO
- enddo
- enddo
- !$acc end region
- END SUBROUTINE wsm32D !}
- #else
- !===================================================================
- !
- SUBROUTINE wsm32D(t, q, qci, qrs,w, den, p, delz &
- ,delt,g, cpd, cpv, rd, rv, t0c &
- ,ep1, ep2, qmin &
- ,XLS, XLV0, XLF0, den0, denr &
- ,cliq,cice,psat &
- ,lat &
- ,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, &
- lat
- REAL, DIMENSION( its:ite , kts:kte ), &
- INTENT(INOUT) :: &
- t
- REAL, DIMENSION( ims:ime , kms:kme ), &
- INTENT(INOUT) :: &
- q, &
- qci, &
- qrs
- REAL, DIMENSION( ims:ime , kms:kme ), &
- INTENT(IN ) :: w, &
- 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
- REAL, DIMENSION( ims:ime ), OPTIONAL, &
- INTENT(INOUT) :: snow, &
- snowncv, &
- sr
- ! LOCAL VAR
- REAL, DIMENSION( its:ite , kts:kte ) :: &
- rh, &
- qs, &
- denfac, &
- rslope, &
- rslope2, &
- rslope3, &
- rslopeb
- REAL, DIMENSION( its:ite , kts:kte ) :: &
- pgen, &
- pisd, &
- paut, &
- pacr, &
- pres, &
- pcon
- REAL, DIMENSION( its:ite , kts:kte ) :: &
- fall, &
- falk, &
- xl, &
- cpm, &
- work1, &
- work2, &
- xni, &
- qs0, &
- n0sfac
- REAL, DIMENSION( its:ite , kts:kte ) :: &
- falkc, &
- work1c, &
- work2c, &
- fallc
- INTEGER, DIMENSION( its:ite ) :: kwork1,&
- kwork2
- INTEGER, DIMENSION( its:ite ) :: mstep, &
- numdt
- LOGICAL, DIMENSION( its:ite ) :: flgcld
- REAL :: pi, &
- cpmcal, xlcal, lamdar, lamdas, diffus, &
- viscos, xka, venfac, conden, diffac, &
- x, y, z, a, b, c, d, e, &
- fallsum, fallsum_qsi, vt2i,vt2s,acrfac, &
- qdt, pvt, qik, delq, facq, qrsci, frzmlt, &
- snomlt, hold, holdrs, facqci, supcol, coeres, &
- supsat, dtcld, xmi, qciik, delqci, eacrs, satdt, &
- qimax, diameter, xni0, roqi0, supice,holdc, holdci
- INTEGER :: i, j, k, mstepmax, &
- iprt, latd, lond, loop, loops, ifsat, kk, n
- ! Temporaries used for inlining fpvs function
- REAL :: dldti, xb, xai, tr, xbi, xa, hvap, cvap, hsub, dldt, ttp
- ! variables for optimization
- REAL, DIMENSION( its:ite ) :: tvec1
- !
- !=================================================================
- ! compute internal functions
- !
- cpmcal(x) = cpd*(1.-max(x,qmin))+max(x,qmin)*cpv
- xlcal(x) = xlv0-xlv1*(x-t0c)
- !----------------------------------------------------------------
- ! size distributions: (x=mixing ratio, y=air density):
- ! valid for mixing ratio > 1.e-9 kg/kg.
- !
- ! Optimizatin : A**B => exp(log(A)*(B))
- lamdar(x,y)= sqrt(sqrt(pidn0r/(x*y))) ! (pidn0r/(x*y))**.25
- lamdas(x,y,z)= sqrt(sqrt(pidn0s*z/(x*y))) ! (pidn0s*z/(x*y))**.25
- !
- !----------------------------------------------------------------
- ! 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) = (viscos(b,c)/diffus(b,a))**(.3333333) &
- ! /viscos(b,c)**(.5)*(den0/c)**0.25
- 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))
- !
- pi = 4. * atan(1.)
- !
- !----------------------------------------------------------------
- ! paddint 0 for negative values generated by dynamics
- !
- do k = kts, kte
- do i = its, ite
- qci(i,k) = max(qci(i,k),0.0)
- qrs(i,k) = max(qrs(i,k),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
- !
- !----------------------------------------------------------------
- ! 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) = fpvs(t(i,k),1,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c)
- ! qs0(i,k) = fpvs(t(i,k),0,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c)
- cvap = cpv
- hvap=xlv0
- hsub=xls
- 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)
- ! if(t(i,k).lt.ttp) then
- ! qs(i,k) =psat*(tr**xai)*exp(xbi*(1.-tr))
- ! else
- ! qs(i,k) =psat*(tr**xa)*exp(xb*(1.-tr))
- ! endif
- ! qs0(i,k) =psat*(tr**xa)*exp(xb*(1.-tr))
- tr=ttp/t(i,k)
- if(t(i,k).lt.ttp) then
- qs(i,k) =psat*(exp(log(tr)*(xai)))*exp(xbi*(1.-tr))
- else
- qs(i,k) =psat*(exp(log(tr)*(xa)))*exp(xb*(1.-tr))
- endif
- qs0(i,k) =psat*(exp(log(tr)*(xa)))*exp(xb*(1.-tr))
- qs0(i,k) = (qs0(i,k)-qs(i,k))/qs(i,k)
- qs(i,k) = ep2 * qs(i,k) / (p(i,k) - qs(i,k))
- qs(i,k) = max(qs(i,k),qmin)
- rh(i,k) = max(q(i,k) / qs(i,k),qmin)
- enddo
- enddo
- !
- !----------------------------------------------------------------
- ! initialize the variables for microphysical physics
- !
- !
- do k = kts, kte
- do i = its, ite
- pres(i,k) = 0.
- paut(i,k) = 0.
- pacr(i,k) = 0.
- pgen(i,k) = 0.
- pisd(i,k) = 0.
- pcon(i,k) = 0.
- fall(i,k) = 0.
- falk(i,k) = 0.
- fallc(i,k) = 0.
- falkc(i,k) = 0.
- xni(i,k) = 1.e3
- enddo
- enddo
- !
- !----------------------------------------------------------------
- ! compute the fallout term:
- ! first, vertical terminal velosity for minor loops
- !---------------------------------------------------------------
- ! n0s: Intercept parameter for snow [m-4] [HDC 6]
- !---------------------------------------------------------------
- do k = kts, kte
- do i = its, ite
- supcol = t0c-t(i,k)
- n0sfac(i,k) = max(min(exp(alpha*supcol),n0smax/n0s),1.)
- if(t(i,k).ge.t0c) then
- if(qrs(i,k).le.qcrmin)then
- rslope(i,k) = rslopermax
- rslopeb(i,k) = rsloperbmax
- rslope2(i,k) = rsloper2max
- rslope3(i,k) = rsloper3max
- else
- rslope(i,k) = 1./lamdar(qrs(i,k),den(i,k))
- ! rslopeb(i,k) = rslope(i,k)**bvtr
- rslopeb(i,k) = exp(log(rslope(i,k))*(bvtr))
- rslope2(i,k) = rslope(i,k)*rslope(i,k)
- rslope3(i,k) = rslope2(i,k)*rslope(i,k)
- endif
- else
- if(qrs(i,k).le.qcrmin)then
- rslope(i,k) = rslopesmax
- rslopeb(i,k) = rslopesbmax
- rslope2(i,k) = rslopes2max
- rslope3(i,k) = rslopes3max
- else
- rslope(i,k) = 1./lamdas(qrs(i,k),den(i,k),n0sfac(i,k))
- ! rslopeb(i,k) = rslope(i,k)**bvts
- rslopeb(i,k) = exp(log(rslope(i,k))*(bvts))
- rslope2(i,k) = rslope(i,k)*rslope(i,k)
- rslope3(i,k) = rslope2(i,k)*rslope(i,k)
- endif
- endif
- !-------------------------------------------------------------
- ! Ni: ice crystal number concentraiton [HDC 5c]
- !-------------------------------------------------------------
- ! xni(i,k) = min(max(5.38e7 &
- ! …
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