#define WSM6_OPTIM #define INL #ifdef WSM6_OPTIM #if (RWORDSIZE == DWORDSIZE) # define VREC(A,B,C) vrec(A,B,C) # define VSQRT(A,B,C) vsqrt(A,B,C) #else # define VREC(A,B,C) vsrec(A,B,C) # define VSQRT(A,B,C) vssqrt(A,B,C) #endif #endif MODULE module_mp_wsm6 1 ! ! REAL, PARAMETER, PRIVATE :: dtcldcr = 120. REAL, PARAMETER, PRIVATE :: n0r = 8.e6 REAL, PARAMETER, PRIVATE :: n0g = 4.e6 REAL, PARAMETER, PRIVATE :: avtr = 841.9 REAL, PARAMETER, PRIVATE :: bvtr = 0.8 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 REAL, PARAMETER, PRIVATE :: bvts = .41 REAL, PARAMETER, PRIVATE :: avtg = 330. REAL, PARAMETER, PRIVATE :: bvtg = 0.8 REAL, PARAMETER, PRIVATE :: deng = 500. REAL, PARAMETER, PRIVATE :: n0smax = 1.e11 ! t=-90C unlimited REAL, PARAMETER, PRIVATE :: lamdarmax = 8.e4 REAL, PARAMETER, PRIVATE :: lamdasmax = 1.e5 REAL, PARAMETER, PRIVATE :: lamdagmax = 6.e4 REAL, PARAMETER, PRIVATE :: betai = .6 REAL, PARAMETER, PRIVATE :: xn0 = 1.e-2 REAL, PARAMETER, PRIVATE :: dicon = 11.9 REAL, PARAMETER, PRIVATE :: di0 = 12.9e-6 REAL, PARAMETER, PRIVATE :: dimax = 500.e-6 REAL, PARAMETER, PRIVATE :: n0s = 2.e6 ! temperature dependent n0s REAL, PARAMETER, PRIVATE :: alpha = .12 ! .122 exponen factor for n0s REAL, PARAMETER, PRIVATE :: pfrz1 = 100. REAL, PARAMETER, PRIVATE :: pfrz2 = 0.66 REAL, PARAMETER, PRIVATE :: qcrmin = 1.e-9 REAL, PARAMETER, PRIVATE :: t40c = 233.16 REAL, PARAMETER, PRIVATE :: eacrc = 1.0 REAL, PARAMETER, PRIVATE :: dens = 100.0 REAL, PARAMETER, PRIVATE :: qs0 = 6.e-4 ! pgaut REAL, SAVE :: & qc0, qck1,bvtr1,bvtr2,bvtr3,bvtr4,g1pbr,& g3pbr,g4pbr,g5pbro2,pvtr,eacrr,pacrr, & bvtr6,g6pbr, & precr1,precr2,xm0,xmmax,roqimax,bvts1, & bvts2,bvts3,bvts4,g1pbs,g3pbs,g4pbs, & g5pbso2,pvts,pacrs,precs1,precs2,pidn0r,& pidn0s,xlv1,pacrc, & bvtg1,bvtg2,bvtg3,bvtg4,g1pbg, & g3pbg,g4pbg,g5pbgo2,pvtg,pacrg, & precg1,precg2,pidn0g, & vt2i,vt2r,vt2s,vt2g,acrfac,egs,egi, & rslopermax,rslopesmax,rslopegmax, & rsloperbmax,rslopesbmax,rslopegbmax, & rsloper2max,rslopes2max,rslopeg2max, & rsloper3max,rslopes3max,rslopeg3max !####################################################################### !ARPS special parameters, hard-coded based on contants in share/module_model_constants.F ! REAL , PARAMETER :: g = 9.81 ! acceleration due to gravity (m {s}^-2) REAL , PARAMETER :: rd = 287. REAL , PARAMETER :: rv = 461.6 REAL , PARAMETER :: cp = 7.*rd/2. REAL , PARAMETER :: cpv = cp-rd REAL , PARAMETER :: cliq = 4190. REAL , PARAMETER :: cice = 2106. REAL , PARAMETER :: psat = 610.78 REAL , PARAMETER :: denr = 1000. REAL , PARAMETER :: den0 = 1.28 REAL , PARAMETER :: ep1 = rv/rd-1. REAL , PARAMETER :: ep2 = rd/rv REAL , PARAMETER :: qmin = 1.E-15 REAL , PARAMETER :: t0c = 273.15 REAL , PARAMETER :: XLS = 2.85E6 REAL , PARAMETER :: XLV = 2.5E6 REAL , PARAMETER :: XLF0 = 3.50E5 #ifdef WSM6_OPTIM PRIVATE :: vrec, vsrec, vsqrt, vssqrt #endif CONTAINS !=================================================================== ! SUBROUTINE wsm6(th, q, qc, qr, qi, qs, qg, &,1 w, den, pii, p, delz, rain, rainncv, & delt, & ids,ide, jds,jde, kds,kde, & ims,ime, jms,jme, kms,kme, & its,ite, jts,jte, kts,kte ) !------------------------------------------------------------------- IMPLICIT NONE !------------------------------------------------------------------- ! ! This code is a GRAUPEL phase ice microphyiscs scheme (WSM6) 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. Related changes in ice-microphysics and description of ! other microphysics are described in Hong et al. (2004). ! all units are m.k.s. and source/sink terms are kgkg-1s-1. ! ! WRFSMMP cloud scheme ! ! Coded by Song-You Hong and Jeong-Ock Lim (Yonsei Univ.) ! Jimy Dudhia (NCAR) and Shu-Hua Chen (UC Davis) ! Summer 2003 ! ! Reference) Hong, Dudhia, Chen (HDC, 2004) Mon. Wea. Rev. ! Lim (2004) Master thesis, Yonsei Univ. ! Lin, Farley, Orville (LFO, 1983) J. Appl. Meteor. ! Rutledge, Hobbs (RH, 1983) J. Atmos. Sci. ! Rutledge, Hobbs (RH, 1984) J. Atmos. Sci. ! 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, & qg 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 ! LOCAL VAR REAL, DIMENSION( its:ite , kts:kte ) :: t REAL, DIMENSION( its:ite , kts:kte, 2 ) :: qci REAL, DIMENSION( its:ite , kts:kte, 3 ) :: 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) qrs(i,k,3) = qg(i,k,j) ENDDO ENDDO CALL wsm62D_WRF(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, & 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) qg(i,k,j) = qrs(i,k,3) ENDDO ENDDO ENDDO END SUBROUTINE wsm6 !=================================================================== ! ! Original version from WRFV2.1.2 ! SUBROUTINE wsm62D_WRF(t, q, qci, qrs, w, den, p, & 2,2 delz, rain, rainncv,delt, & 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 ! REAL, DIMENSION( its:ite , kts:kte, 3 ), & ! INTENT(INOUT) :: & ! qrs REAL, DIMENSION( ims:ime , kms:kme ), INTENT(INOUT) :: t REAL, DIMENSION( ims:ime , kms:kme, 2 ), INTENT(INOUT) :: qci REAL, DIMENSION( ims:ime , kms:kme, 3 ), INTENT(INOUT) :: qrs REAL, DIMENSION( ims:ime , kms:kme ), & INTENT(INOUT) :: & q REAL, DIMENSION( ims:ime , kms:kme ), & INTENT(IN ) :: w, & den, & p, & delz REAL, DIMENSION( ims:ime ), & INTENT(INOUT) :: rain, & rainncv REAL, INTENT(IN ) :: delt ! LOCAL VAR REAL, DIMENSION( its:ite , kts:kte , 3) :: & rh, qs, rslope, rslope2, rslope3, rslopeb, & paut, pres, falk, fall, work1 REAL, DIMENSION( its:ite , kts:kte ) :: & falkc, work1c, work2c, fallc REAL, DIMENSION( its:ite , kts:kte) :: & pracw, psacw, pgacw, pgacr, pgacs, psaci, pgml, praci, & piacr, pracs, psacr, pgaci, pseml, pgeml REAL, DIMENSION( its:ite , kts:kte ) :: & pgen, pisd, pcon, xl, cpm, work2, psml, psev, denfac, & xni, pgev,n0sfac REAL, DIMENSION( its:ite ) :: tvec1 INTEGER, DIMENSION( its:ite ) :: mstep, numdt LOGICAL, DIMENSION( its:ite ) :: flgcld REAL :: pi, & cpmcal, xlcal, lamdar, lamdas, lamdag, diffus, & viscos, xka, venfac, conden, diffac, & x, y, z, a, b, c, d, e, & qdt, holdrr, holdrs, holdrg, supcol, pvt, & coeres, supsat, dtcld, xmi, eacrs, satdt, & qimax, diameter, xni0, roqi0, & fallsum, xlwork2, factor, source, value, & xlf, pfrzdtc, pfrzdtr, supice, alpha2, delta2, & temp, delta3 REAL :: holdc, holdci INTEGER :: i, j, k, mstepmax, & iprt, latd, lond, loop, loops, ifsat, n #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) = cp*(1.-max(x,qmin))+max(x,qmin)*cpv xlcal(x) = xlv-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. ! #ifdef WSM6_OPTIM #define PWR(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 lamdag(x,y)= sqrt(sqrt(pidn0g/(x*y))) ! (pidn0g/(x*y))**.25 ! !---------------------------------------------------------------- ! diffus: diffusion coefficient of the water vapor ! viscos: kinematic viscosity(m2s-1) ! diffus(x,y) = 8.794e-5 * PWR(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) = PWR((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)) #else #define PWR(A,B) ((A)**(B)) lamdar(x,y)=(pidn0r/(x*y))**.25 lamdas(x,y,z)=(pidn0s*z/(x*y))**.25 lamdag(x,y)=(pidn0g/(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)) #endif ! pi = 4. * atan(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) qrs(i,k,3) = max(qrs(i,k,3),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 ! #ifdef WSM6_OPTIM 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 #else do k = kts, kte do i = its, ite denfac(i,k) = sqrt(den0/den(i,k)) enddo enddo #endif ! #ifdef INL hsub = xls hvap = xlv 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) #endif do k = kts, kte do i = its, ite #ifdef INL tr=ttp/t(i,k) qs(i,k,1)=psat*PWR(tr,xa)*exp(xb*(1.-tr)) #else qs(i,k,1) = fpvs(t(i,k),0) #endif 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) #ifdef INL tr=ttp/t(i,k) if(t(i,k).lt.ttp) then qs(i,k,2)=psat*PWR(tr,xai)*exp(xbi*(1.-tr)) else qs(i,k,2)=psat*PWR(tr,xa)*exp(xb*(1.-tr)) endif #else qs(i,k,2) = fpvs(t(i,k),1) #endif 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 ! !---------------------------------------------------------------- ! initialize the variables for microphysical physics ! ! do k = kts, kte do i = its, ite pres(i,k,1) = 0. pres(i,k,2) = 0. pres(i,k,3) = 0. paut(i,k,1) = 0. paut(i,k,2) = 0. paut(i,k,3) = 0. pracw(i,k) = 0. praci(i,k) = 0. piacr(i,k) = 0. psaci(i,k) = 0. psacw(i,k) = 0. pracs(i,k) = 0. psacr(i,k) = 0. pgacw(i,k) = 0. pgaci(i,k) = 0. pgacr(i,k) = 0. pgacs(i,k) = 0. pgen(i,k) = 0. pisd(i,k) = 0. pcon(i,k) = 0. psml(i,k) = 0. pgml(i,k) = 0. pseml(i,k) = 0. pgeml(i,k) = 0. psev(i,k) = 0. pgev(i,k) = 0. falk(i,k,1) = 0. falk(i,k,2) = 0. falk(i,k,3) = 0. fall(i,k,1) = 0. fall(i,k,2) = 0. fall(i,k,3) = 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 ! do k = kts, kte do i = its, ite supcol = t0c-t(i,k) !--------------------------------------------------------------- ! n0s: Intercept parameter for snow [m-4] [HDC 6] !--------------------------------------------------------------- n0sfac(i,k) = max(min(exp(alpha*supcol),n0smax/n0s),1.) if(qrs(i,k,1).le.qcrmin)then rslope(i,k,1) = rslopermax rslopeb(i,k,1) = rsloperbmax rslope2(i,k,1) = rsloper2max rslope3(i,k,1) = rsloper3max else rslope(i,k,1) = 1./lamdar(qrs(i,k,1),den(i,k)) rslopeb(i,k,1) = rslope(i,k,1)**bvtr rslope2(i,k,1) = rslope(i,k,1)*rslope(i,k,1) rslope3(i,k,1) = rslope2(i,k,1)*rslope(i,k,1) endif if(qrs(i,k,2).le.qcrmin)then rslope(i,k,2) = rslopesmax rslopeb(i,k,2) = rslopesbmax rslope2(i,k,2) = rslopes2max rslope3(i,k,2) = rslopes3max else rslope(i,k,2) = 1./lamdas(qrs(i,k,2),den(i,k),n0sfac(i,k)) rslopeb(i,k,2) = rslope(i,k,2)**bvts rslope2(i,k,2) = rslope(i,k,2)*rslope(i,k,2) rslope3(i,k,2) = rslope2(i,k,2)*rslope(i,k,2) endif if(qrs(i,k,3).le.qcrmin)then rslope(i,k,3) = rslopegmax rslopeb(i,k,3) = rslopegbmax rslope2(i,k,3) = rslopeg2max rslope3(i,k,3) = rslopeg3max else rslope(i,k,3) = 1./lamdag(qrs(i,k,3),den(i,k)) rslopeb(i,k,3) = rslope(i,k,3)**bvtg rslope2(i,k,3) = rslope(i,k,3)*rslope(i,k,3) rslope3(i,k,3) = rslope2(i,k,3)*rslope(i,k,3) endif !------------------------------------------------------------- ! Ni: ice crystal number concentraiton [HDC 5c] !------------------------------------------------------------- #ifdef WSM6_OPTIM 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) #else xni(i,k) = min(max(5.38e7*(den(i,k) & *max(qci(i,k,2),qmin))**0.75,1.e3),1.e6) #endif enddo enddo ! mstepmax = 1 numdt = 1 do k = kte, kts, -1 do i = its, ite work1(i,k,1) = pvtr*rslopeb(i,k,1)*denfac(i,k)/delz(i,k) work1(i,k,2) = pvts*rslopeb(i,k,2)*denfac(i,k)/delz(i,k) work1(i,k,3) = pvtg*rslopeb(i,k,3)*denfac(i,k)/delz(i,k) numdt(i) = max(nint(max(work1(i,k,1),work1(i,k,2),work1(i,k,3)) & *dtcld+.5),1) if(numdt(i).ge.mstep(i)) mstep(i) = numdt(i) enddo enddo do i = its, ite if(mstepmax.le.mstep(i)) mstepmax = mstep(i) enddo ! 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) falk(i,k,3) = den(i,k)*qrs(i,k,3)*work1(i,k,3)/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) fall(i,k,3) = fall(i,k,3)+falk(i,k,3) 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.) qrs(i,k,3) = max(qrs(i,k,3)-falk(i,k,3)*dtcld/den(i,k),0.) 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) falk(i,k,3) = den(i,k)*qrs(i,k,3)*work1(i,k,3)/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) fall(i,k,3) = fall(i,k,3)+falk(i,k,3) 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.) qrs(i,k,3) = max(qrs(i,k,3)-(falk(i,k,3)-falk(i,k+1,3) & *delz(i,k+1)/delz(i,k))*dtcld/den(i,k),0.) endif enddo enddo do k = kte, kts, -1 do i = its, ite if(n.le.mstep(i).and.t(i,k).gt.t0c) then !--------------------------------------------------------------- ! psml: melting of snow [RH83 A25] ! (T>T0: S->R) !--------------------------------------------------------------- xlf = xlf0 work2(i,k) = venfac(p(i,k),t(i,k),den(i,k)) if(qrs(i,k,2).gt.0.) then coeres = rslope2(i,k,2)*sqrt(rslope(i,k,2)*rslopeb(i,k,2)) psml(i,k) = xka(t(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) psml(i,k) = min(max(psml(i,k)*dtcld/mstep(i), & -qrs(i,k,2)/mstep(i)),0.) qrs(i,k,2) = qrs(i,k,2) + psml(i,k) qrs(i,k,1) = qrs(i,k,1) - psml(i,k) t(i,k) = t(i,k) + xlf/cpm(i,k)*psml(i,k) endif !--------------------------------------------------------------- ! pgml: melting of graupel [LFO 47] ! (T>T0: G->R) !--------------------------------------------------------------- if(qrs(i,k,3).gt.0.) then coeres = rslope2(i,k,3)*sqrt(rslope(i,k,3)*rslopeb(i,k,3)) pgml(i,k) = xka(t(i,k),den(i,k))/xlf & *(t0c-t(i,k))*(precg1*rslope2(i,k,3) & +precg2*work2(i,k)*coeres) pgml(i,k) = min(max(pgml(i,k)*dtcld/mstep(i), & -qrs(i,k,3)/mstep(i)),0.) qrs(i,k,3) = qrs(i,k,3) + pgml(i,k) qrs(i,k,1) = qrs(i,k,1) - pgml(i,k) t(i,k) = t(i,k) + xlf/cpm(i,k)*pgml(i,k) endif endif enddo enddo enddo !--------------------------------------------------------------- ! Vice [ms-1] : fallout of ice crystal [HDC 5a] !--------------------------------------------------------------- mstepmax = 1 mstep = 1 numdt = 1 do k = kte, kts, -1 do i = its, ite if(qci(i,k,2).le.0.) then work2c(i,k) = 0. else xmi = den(i,k)*qci(i,k,2)/xni(i,k) #ifdef WSM6_OPTIM diameter = max(min(dicon * sqrt(xmi),dimax), 1.e-25) #else diameter = min(dicon * sqrt(xmi),dimax) #endif work1c(i,k) = 1.49e4*diameter**1.31 work2c(i,k) = work1c(i,k)/delz(i,k) endif numdt(i) = max(nint(work2c(i,k)*dtcld+.5),1) if(numdt(i).ge.mstep(i)) mstep(i) = numdt(i) enddo enddo do i = its, ite if(mstepmax.le.mstep(i)) mstepmax = mstep(i) enddo ! do n = 1, mstepmax k = kte do i = its, ite if(n.le.mstep(i)) then falkc(i,k) = den(i,k)*qci(i,k,2)*work2c(i,k)/mstep(i) holdc = falkc(i,k) fallc(i,k) = fallc(i,k)+falkc(i,k) holdci = qci(i,k,2) qci(i,k,2) = max(qci(i,k,2)-falkc(i,k)*dtcld/den(i,k),0.) endif enddo do k = kte-1, kts, -1 do i = its, ite if(n.le.mstep(i)) then falkc(i,k) = den(i,k)*qci(i,k,2)*work2c(i,k)/mstep(i) holdc = falkc(i,k) fallc(i,k) = fallc(i,k)+falkc(i,k) holdci = qci(i,k,2) 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.) endif enddo enddo enddo ! !---------------------------------------------------------------- ! rain (unit is mm/sec;kgm-2s-1: /1000*delt ===> m)==> mm for wrf ! do i = its, ite fallsum = fall(i,kts,1)+fall(i,kts,2)+fall(i,kts,3) if(fallsum.gt.0.) then rainncv(i) = fallsum*delz(i,kts)/denr*dtcld*1000. rain(i) = fallsum*delz(i,kts)/denr*dtcld*1000. + rain(i) endif enddo ! !--------------------------------------------------------------- ! piml: instantaneous melting of cloud ice [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 ! (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 ! (T0>T>-40C: C->I) !--------------------------------------------------------------- if(supcol.gt.0..and.qci(i,k,1).gt.qmin) then #ifdef WSM6_OPTIM pfrzdtc = min(pfrz1*(exp(pfrz2*supcol)-1.) & *den(i,k)/denr/xncr*qci(i,k,1)*qci(i,k,1)*dtcld,qci(i,k,1)) #else pfrzdtc = min(pfrz1*(exp(pfrz2*supcol)-1.) & *den(i,k)/denr/xncr*qci(i,k,1)**2*dtcld,qci(i,k,1)) #endif 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 !--------------------------------------------------------------- ! pfrz: freezing of rain water [LFO 45] ! (T<T0, R->S) !--------------------------------------------------------------- if(supcol.gt.0..and.qrs(i,k,1).gt.0.) then #ifdef WSM6_OPTIM temp = rslope3(i,k,1) temp = temp*temp*rslope(i,k,1) pfrzdtr = min(20.*(pi*pi)*pfrz1*n0r*denr/den(i,k)*temp & *(exp(pfrz2*supcol)-1.)*dtcld, & qrs(i,k,1)) #else pfrzdtr = min(20.*pi**2*pfrz1*n0r*denr/den(i,k) & *rslope3(i,k,1)**2*rslope(i,k,1) & *(exp(pfrz2*supcol)-1.)*dtcld,qrs(i,k,1)) #endif qrs(i,k,3) = qrs(i,k,3) + pfrzdtr t(i,k) = t(i,k) + xlf/cpm(i,k)*pfrzdtr qrs(i,k,1) = qrs(i,k,1)-pfrzdtr endif enddo enddo ! ! !---------------------------------------------------------------- ! rsloper: reverse of the slope parameter of the rain(m) ! 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 rslope(i,k,1) = rslopermax rslopeb(i,k,1) = rsloperbmax rslope2(i,k,1) = rsloper2max rslope3(i,k,1) = rsloper3max else rslope(i,k,1) = 1./lamdar(qrs(i,k,1),den(i,k)) rslopeb(i,k,1) = rslope(i,k,1)**bvtr rslope2(i,k,1) = rslope(i,k,1)*rslope(i,k,1) rslope3(i,k,1) = rslope2(i,k,1)*rslope(i,k,1) endif if(qrs(i,k,2).le.qcrmin)then rslope(i,k,2) = rslopesmax rslopeb(i,k,2) = rslopesbmax rslope2(i,k,2) = rslopes2max rslope3(i,k,2) = rslopes3max else rslope(i,k,2) = 1./lamdas(qrs(i,k,2),den(i,k),n0sfac(i,k)) rslopeb(i,k,2) = rslope(i,k,2)**bvts rslope2(i,k,2) = rslope(i,k,2)*rslope(i,k,2) rslope3(i,k,2) = rslope2(i,k,2)*rslope(i,k,2) endif if(qrs(i,k,3).le.qcrmin)then rslope(i,k,3) = rslopegmax rslopeb(i,k,3) = rslopegbmax rslope2(i,k,3) = rslopeg2max rslope3(i,k,3) = rslopeg3max else rslope(i,k,3) = 1./lamdag(qrs(i,k,3),den(i,k)) rslopeb(i,k,3) = rslope(i,k,3)**bvtg rslope2(i,k,3) = rslope(i,k,3)*rslope(i,k,3) rslope3(i,k,3) = rslope2(i,k,3)*rslope(i,k,3) endif 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 ! !=============================================================== ! ! 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 !--------------------------------------------------------------- ! paut1: auto conversion rate from cloud to rain [HDC 16] ! (C->R) !--------------------------------------------------------------- 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 !--------------------------------------------------------------- ! pracw: accretion of cloud water by rain [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 !--------------------------------------------------------------- ! pres1: 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)) pres(i,k,1) = (rh(i,k,1)-1.)*(precr1*rslope2(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) 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) ! !=============================================================== ! 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 !------------------------------------------------------------- ! Ni: ice crystal number concentraiton [HDC 5c] !------------------------------------------------------------- #ifdef WSM6_OPTIM 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) #else xni(i,k) = min(max(5.38e7*(den(i,k) & *max(qci(i,k,2),qmin))**0.75,1.e3),1.e6) #endif eacrs = exp(0.05*(-supcol)) ! xmi = den(i,k)*qci(i,k,2)/xni(i,k) diameter = min(dicon * sqrt(xmi),dimax) vt2r=pvtr*rslopeb(i,k,1)*denfac(i,k) vt2s=pvts*rslopeb(i,k,2)*denfac(i,k) vt2g=pvtg*rslopeb(i,k,3)*denfac(i,k) if(supcol.gt.0.and.qci(i,k,2).gt.qmin) then if(qrs(i,k,1).gt.qcrmin) then !------------------------------------------------------------- ! praci: Accretion of cloud ice by rain [LFO 25] ! (T<T0: I->R) !------------------------------------------------------------- praci(i,k) = pacrr*rslope3(i,k,1)*rslopeb(i,k,1) & *qci(i,k,2)*denfac(i,k) praci(i,k) = min(praci(i,k),qci(i,k,2)/dtcld) !------------------------------------------------------------- ! piacr: Accretion of rain by cloud ice [LFO 26] ! (T<T0: R->S or R->G) !------------------------------------------------------------- piacr(i,k) = pi**2*avtr*n0r*denr*xni(i,k)*denfac(i,k) & *g6pbr*rslope3(i,k,1)*rslope3(i,k,1) & *rslopeb(i,k,1)/24./den(i,k) piacr(i,k) = min(piacr(i,k),qrs(i,k,1)/dtcld) endif !------------------------------------------------------------- ! psaci: Accretion of cloud ice by snow [HDC 10] ! (T<T0: I->S) !------------------------------------------------------------- if(qrs(i,k,2).gt.qcrmin) then psaci(i,k) = pacrs*n0sfac(i,k)*eacrs*rslope3(i,k,2) & *rslopeb(i,k,2)*qci(i,k,2)*denfac(i,k) psaci(i,k) = min(psaci(i,k),qci(i,k,2)/dtcld) endif !------------------------------------------------------------- ! pgaci: Accretion of cloud ice by graupel [LFO 41] ! (T<T0: I->G) !------------------------------------------------------------- if(qrs(i,k,3).gt.qcrmin) then egi = exp(0.07*(-supcol)) pgaci(i,k) = pacrg*egi*rslope3(i,k,3)*rslopeb(i,k,3) & *qci(i,k,2)*denfac(i,k) pgaci(i,k) = min(pgaci(i,k),qci(i,k,2)/dtcld) endif endif !------------------------------------------------------------- ! psacw: Accretion of cloud water by snow [LFO 24] ! (T<T0: C->G, 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) endif !------------------------------------------------------------- ! pgacw: Accretion of cloud water by graupel [LFO 40] ! (T<T0: C->G, and T>=T0: C->R) !------------------------------------------------------------- if(qrs(i,k,3).gt.qcrmin.and.qci(i,k,1).gt.qmin) then pgacw(i,k) = min(pacrg*rslope3(i,k,3)*rslopeb(i,k,3) & *qci(i,k,1)*denfac(i,k),qci(i,k,1)/dtcld) endif !------------------------------------------------------------- ! pracs: Accretion of snow by rain [LFO 27] ! (T<T0: S->G) !------------------------------------------------------------- if(qrs(i,k,2).gt.qcrmin.and.qrs(i,k,1).gt.qcrmin) then if(supcol.gt.0) then acrfac = 5.*rslope3(i,k,2)*rslope3(i,k,2)*rslope(i,k,1) & +2.*rslope3(i,k,2)*rslope2(i,k,2)*rslope2(i,k,1) & +.5*rslope2(i,k,2)*rslope2(i,k,2)*rslope3(i,k,1) pracs(i,k) = pi**2*n0r*n0s*n0sfac(i,k)*abs(vt2r-vt2s) & *(dens/den(i,k))*acrfac pracs(i,k) = min(pracs(i,k),qrs(i,k,2)/dtcld) endif !------------------------------------------------------------- ! psacr: Accretion of rain by snow [LFO 28] ! (T<T0:R->S or R->G) (T>=T0: enhance melting of snow) !------------------------------------------------------------- acrfac = 5.*rslope3(i,k,1)*rslope3(i,k,1)*rslope(i,k,2) & +2.*rslope3(i,k,1)*rslope2(i,k,1)*rslope2(i,k,2) & +.5*rslope2(i,k,1)*rslope2(i,k,1)*rslope3(i,k,2) psacr(i,k) = pi**2*n0r*n0s*n0sfac(i,k)*abs(vt2s-vt2r) & *(denr/den(i,k))*acrfac psacr(i,k) = min(psacr(i,k),qrs(i,k,1)/dtcld) endif !------------------------------------------------------------- ! pgacr: Accretion of rain by graupel [LFO 42] ! (T<T0: R->G) (T>=T0: enhance melting of graupel) !------------------------------------------------------------- if(qrs(i,k,3).gt.qcrmin.and.qrs(i,k,1).gt.qcrmin) then acrfac = 5.*rslope3(i,k,1)*rslope3(i,k,1)*rslope(i,k,3) & +2.*rslope3(i,k,1)*rslope2(i,k,1)*rslope2(i,k,3) & +.5*rslope2(i,k,1)*rslope2(i,k,1)*rslope3(i,k,3) pgacr(i,k) = pi**2*n0r*n0g*abs(vt2g-vt2r)*(denr/den(i,k)) & *acrfac pgacr(i,k) = min(pgacr(i,k),qrs(i,k,1)/dtcld) endif !------------------------------------------------------------- ! pgacs: Accretion of snow by graupel [LFO 29] ! (S->G) !------------------------------------------------------------- if(qrs(i,k,3).gt.qcrmin.and.qrs(i,k,2).gt.qcrmin) then acrfac = 5.*rslope3(i,k,2)*rslope3(i,k,2)*rslope(i,k,3) & +2.*rslope3(i,k,2)*rslope2(i,k,2)*rslope2(i,k,3) & +.5*rslope2(i,k,2)*rslope2(i,k,2)*rslope3(i,k,3) if(supcol.gt.0) then egs = exp(-0.09*supcol) else egs = 1. endif pgacs(i,k) = pi**2*egs*n0s*n0sfac(i,k)*n0g*abs(vt2g-vt2s) & *(dens/den(i,k))*acrfac pgacs(i,k) = min(pgacs(i,k),qrs(i,k,2)/dtcld) endif if(supcol.le.0) then xlf = xlf0 !------------------------------------------------------------- ! pseml: Enhanced melting of snow by accretion of water ! (T>=T0: S->R) !------------------------------------------------------------- if(qrs(i,k,2).gt.0.) & pseml(i,k) = min(max(cliq*supcol*(psacw(i,k)+psacr(i,k)) & /xlf,-qrs(i,k,2)/dtcld),0.) !------------------------------------------------------------- ! pgeml: Enhanced melting of graupel by accretion of water [RH84 A21-A22] ! (T>=T0: G->R) !------------------------------------------------------------- if(qrs(i,k,3).gt.0.) & pgeml(i,k) = min(max(cliq*supcol*(pgacw(i,k)+pgacr(i,k)) & /xlf,-qrs(i,k,3)/dtcld),0.) endif if(supcol.gt.0) then !------------------------------------------------------------- ! pisd: 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 pisd(i,k) = 4.*diameter*xni(i,k)*(rh(i,k,2)-1.)/work1(i,k,2) supice = satdt-pres(i,k,1) if(pisd(i,k).lt.0.) then pisd(i,k) = max(max(pisd(i,k),satdt/2),supice) pisd(i,k) = max(pisd(i,k),-qci(i,k,2)/dtcld) else pisd(i,k) = min(min(pisd(i,k),satdt/2),supice) endif if(abs(pres(i,k,1)+pisd(i,k)).ge.abs(satdt)) ifsat = 1 endif !------------------------------------------------------------- ! pres2: deposition/sublimation rate of snow [HDC 14] ! (T<T0: 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)) pres(i,k,2) = (rh(i,k,2)-1.)*n0sfac(i,k)*(precs1 & *rslope2(i,k,2)+precs2*work2(i,k) & *coeres)/work1(i,k,2) supice = satdt-pres(i,k,1)-pisd(i,k) 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(max(pres(i,k,2),satdt/2),supice) else pres(i,k,2) = min(min(pres(i,k,2),satdt/2),supice) endif if(abs(pres(i,k,1)+pisd(i,k)+pres(i,k,2)).ge.abs(satdt)) & ifsat = 1 endif !------------------------------------------------------------- ! pres3: deposition/sublimation rate of graupel [LFO 46] ! (T<T0: V->G or G->V) !------------------------------------------------------------- if(qrs(i,k,3).gt.0..and.ifsat.ne.1) then coeres = rslope2(i,k,3)*sqrt(rslope(i,k,3)*rslopeb(i,k,3)) pres(i,k,3) = (rh(i,k,2)-1.)*(precg1*rslope2(i,k,3) & +precg2*work2(i,k)*coeres)/work1(i,k,2) supice = satdt-pres(i,k,1)-pisd(i,k)-pres(i,k,2) if(pres(i,k,3).lt.0.) then pres(i,k,3) = max(pres(i,k,3),-qrs(i,k,3)/dtcld) pres(i,k,3) = max(max(pres(i,k,3),satdt/2),supice) else pres(i,k,3) = min(min(pres(i,k,3),satdt/2),supice) endif if(abs(pres(i,k,1)+pisd(i,k)+pres(i,k,2)+pres(i,k,3)).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 supice = satdt-pres(i,k,1)-pisd(i,k)-pres(i,k,2)-pres(i,k,3) xni0 = 1.e3*exp(0.1*supcol) roqi0 = 4.92e-11*xni0**1.33 pgen(i,k) = max(0.,(roqi0/den(i,k)-max(qci(i,k,2),0.)) & /dtcld) pgen(i,k) = min(min(pgen(i,k),satdt),supice) endif ! !------------------------------------------------------------- ! paut2: 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) paut(i,k,2) = max(0.,(qci(i,k,2)-qimax)/dtcld) endif ! !------------------------------------------------------------- ! paut3: conversion(aggregation) of snow to graupel [LFO 37] ! (T<T0: S->G) !------------------------------------------------------------- if(qrs(i,k,2).gt.0.) then alpha2 = 1.e-3*exp(0.09*(-supcol)) paut(i,k,3) = min(max(0.,alpha2*(qrs(i,k,2)-qs0)) & ,qrs(i,k,2)/dtcld) endif endif ! !------------------------------------------------------------- ! psev: Evaporation of melting snow [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.) then coeres = rslope2(i,k,2)*sqrt(rslope(i,k,2)*rslopeb(i,k,2)) psev(i,k) = (rh(i,k,1)-1.)*n0sfac(i,k)*(precs1 & *rslope2(i,k,2)+precs2*work2(i,k) & *coeres)/work1(i,k,1) psev(i,k) = min(max(psev(i,k),-qrs(i,k,2)/dtcld),0.) endif !------------------------------------------------------------- ! pgev: Evaporation of melting graupel [RH84 A19] ! (T>=T0: G->V) !------------------------------------------------------------- if(qrs(i,k,3).gt.0..and.rh(i,k,1).lt.1.) then coeres = rslope2(i,k,3)*sqrt(rslope(i,k,3)*rslopeb(i,k,3)) pgev(i,k) = (rh(i,k,1)-1.)*(precg1*rslope2(i,k,3) & +precg2*work2(i,k)*coeres)/work1(i,k,1) pgev(i,k) = min(max(pgev(i,k),-qrs(i,k,3)/dtcld),0.) endif endif enddo enddo ! ! !---------------------------------------------------------------- ! check mass conservation of generation terms and feedback to the ! large scale ! do k = kts, kte do i = its, ite ! delta2=0. delta3=0. if(qrs(i,k,1).lt.1.e-4.and.qrs(i,k,2).lt.1.e-4) delta2=1. if(qrs(i,k,1).lt.1.e-4) delta3=1. if(t(i,k).le.t0c) then ! ! cloud water ! value = max(qmin,qci(i,k,1)) source = (paut(i,k,1)+pracw(i,k)+psacw(i,k)+pgacw(i,k))*dtcld if (source.gt.value) then factor = value/source paut(i,k,1) = paut(i,k,1)*factor pracw(i,k) = pracw(i,k)*factor psacw(i,k) = psacw(i,k)*factor pgacw(i,k) = pgacw(i,k)*factor endif ! ! cloud ice ! value = max(qmin,qci(i,k,2)) source = (paut(i,k,2)-pgen(i,k)-pisd(i,k)+praci(i,k) & +psaci(i,k)+pgaci(i,k))*dtcld if (source.gt.value) then factor = value/source paut(i,k,2) = paut(i,k,2)*factor pgen(i,k) = pgen(i,k)*factor pisd(i,k) = pisd(i,k)*factor praci(i,k) = praci(i,k)*factor psaci(i,k) = psaci(i,k)*factor pgaci(i,k) = pgaci(i,k)*factor endif ! ! rain ! value = max(qmin,qrs(i,k,1)) source = (-paut(i,k,1)-pres(i,k,1)-pracw(i,k)+piacr(i,k) & +psacr(i,k)+pgacr(i,k))*dtcld if (source.gt.value) then factor = value/source paut(i,k,1) = paut(i,k,1)*factor pres(i,k,1) = pres(i,k,1)*factor pracw(i,k) = pracw(i,k)*factor piacr(i,k) = piacr(i,k)*factor psacr(i,k) = psacr(i,k)*factor pgacr(i,k) = pgacr(i,k)*factor endif ! ! snow ! value = max(qmin,qrs(i,k,2)) source = -(pres(i,k,2)+paut(i,k,2)-paut(i,k,3) & +piacr(i,k)*delta3+praci(i,k)*delta3 & -pracs(i,k)*(1.-delta2)+psacr(i,k)*delta2 & +psaci(i,k)-pgacs(i,k) )*dtcld if (source.gt.value) then factor = value/source pres(i,k,2) = pres(i,k,2)*factor paut(i,k,2) = paut(i,k,2)*factor paut(i,k,3) = paut(i,k,3)*factor piacr(i,k) = piacr(i,k)*factor praci(i,k) = praci(i,k)*factor psaci(i,k) = psaci(i,k)*factor pracs(i,k) = pracs(i,k)*factor psacr(i,k) = psacr(i,k)*factor pgacs(i,k) = pgacs(i,k)*factor endif ! ! graupel ! value = max(qmin,qrs(i,k,3)) source = -(pres(i,k,3)+paut(i,k,3)+psacw(i,k) & +piacr(i,k)*(1.-delta3)+praci(i,k)*(1.-delta3) & +psacr(i,k)*(1.-delta2)+pracs(i,k)*(1.-delta2) & +pgaci(i,k)+pgacw(i,k)+pgacr(i,k)+pgacs(i,k))*dtcld if (source.gt.value) then factor = value/source pres(i,k,3) = pres(i,k,3)*factor paut(i,k,3) = paut(i,k,3)*factor psacw(i,k) = psacw(i,k)*factor piacr(i,k) = piacr(i,k)*factor praci(i,k) = praci(i,k)*factor psacr(i,k) = psacr(i,k)*factor pracs(i,k) = pracs(i,k)*factor pgacw(i,k) = pgacw(i,k)*factor pgaci(i,k) = pgaci(i,k)*factor pgacr(i,k) = pgacr(i,k)*factor pgacs(i,k) = pgacs(i,k)*factor endif ! work2(i,k)=-(pres(i,k,1)+pres(i,k,2)+pres(i,k,3)+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)+pracw(i,k) & +psacw(i,k)+pgacw(i,k))*dtcld,0.) qrs(i,k,1) = max(qrs(i,k,1)+(paut(i,k,1)+pracw(i,k) & +pres(i,k,1)-piacr(i,k)-pgacr(i,k) & -psacr(i,k))*dtcld,0.) qci(i,k,2) = max(qci(i,k,2)-(paut(i,k,2)+praci(i,k) & +psaci(i,k)+pgaci(i,k)-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) & -paut(i,k,3)+piacr(i,k)*delta3 & +praci(i,k)*delta3+psaci(i,k)-pgacs(i,k) & -pracs(i,k)*(1.-delta2)+psacr(i,k)*delta2) & *dtcld,0.) qrs(i,k,3) = max(qrs(i,k,3)+(pres(i,k,3)+paut(i,k,3) & +psacw(i,k)+piacr(i,k)*(1.-delta3) & +praci(i,k)*(1.-delta3)+psacr(i,k)*(1.-delta2)& +pracs(i,k)*(1.-delta2)+pgaci(i,k)+pgacw(i,k) & +pgacr(i,k)+pgacs(i,k))*dtcld,0.) xlf = xls-xl(i,k) xlwork2 = -xls*(pres(i,k,2)+pres(i,k,3)+pisd(i,k)+pgen(i,k)) & -xl(i,k)*pres(i,k,1)-xlf*(piacr(i,k)+psacw(i,k) & +pgacw(i,k)+pgacr(i,k)+psacr(i,k)) t(i,k) = t(i,k)-xlwork2/cpm(i,k)*dtcld else ! ! cloud water ! value = max(qmin,qci(i,k,1)) source=(paut(i,k,1)+pracw(i,k)+psacw(i,k)+pgacw(i,k))*dtcld if (source.gt.value) then factor = value/source paut(i,k,1) = paut(i,k,1)*factor pracw(i,k) = pracw(i,k)*factor psacw(i,k) = psacw(i,k)*factor pgacw(i,k) = pgacw(i,k)*factor endif ! ! rain ! value = max(qmin,qrs(i,k,1)) source = (-psacw(i,k)-paut(i,k,1)+pseml(i,k)+pgeml(i,k) & -pracw(i,k)-pgacw(i,k)-pres(i,k,1))*dtcld if (source.gt.value) then factor = value/source paut(i,k,1) = paut(i,k,1)*factor pres(i,k,1) = pres(i,k,1)*factor pgacw(i,k) = pgacw(i,k)*factor pracw(i,k) = pracw(i,k)*factor psacw(i,k) = psacw(i,k)*factor pseml(i,k) = pseml(i,k)*factor pgeml(i,k) = pgeml(i,k)*factor endif ! ! snow ! value = max(qcrmin,qrs(i,k,2)) source=(pgacs(i,k)-pseml(i,k)-psev(i,k))*dtcld if (source.gt.value) then factor = value/source pgacs(i,k) = pgacs(i,k)*factor psev(i,k) = psev(i,k)*factor pseml(i,k) = pseml(i,k)*factor endif ! ! graupel ! value = max(qcrmin,qrs(i,k,3)) source=-(pgacs(i,k)+pgev(i,k)+pgeml(i,k))*dtcld if (source.gt.value) then factor = value/source pgacs(i,k) = pgacs(i,k)*factor pgev(i,k) = pgev(i,k)*factor pgeml(i,k) = pgeml(i,k)*factor endif work2(i,k)=-(pres(i,k,1)+psev(i,k)+pgev(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)+pracw(i,k) & +psacw(i,k)+pgacw(i,k))*dtcld,0.) qrs(i,k,1) = max(qrs(i,k,1)+(paut(i,k,1)+pracw(i,k) & +pres(i,k,1)+psacw(i,k)+pgacw(i,k)-pseml(i,k) & -pgeml(i,k))*dtcld,0.) qrs(i,k,2) = max(qrs(i,k,2)+(psev(i,k)-pgacs(i,k) & +pseml(i,k))*dtcld,0.) qrs(i,k,3) = max(qrs(i,k,3)+(pgacs(i,k)+pgev(i,k) & +pgeml(i,k))*dtcld,0.) xlf = xls-xl(i,k) xlwork2 = -xl(i,k)*(pres(i,k,1)+psev(i,k)+pgev(i,k)) & -xlf*(pseml(i,k)+pgeml(i,k)) t(i,k) = t(i,k)-xlwork2/cpm(i,k)*dtcld endif enddo enddo ! #ifdef INL hsub = xls hvap = xlv 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) #endif do k = kts, kte do i = its, ite #ifdef INL tr=ttp/t(i,k) qs(i,k,1)=psat*PWR(tr,xa)*exp(xb*(1.-tr)) #else qs(i,k,1) = fpvs(t(i,k),0) #endif 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) #ifdef INL tr=ttp/t(i,k) if(t(i,k).lt.ttp) then qs(i,k,2)=psat*PWR(tr,xai)*exp(xbi*(1.-tr)) else qs(i,k,2)=psat*PWR(tr,xa)*exp(xb*(1.-tr)) endif #else qs(i,k,2) = fpvs(t(i,k),1) #endif 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 ! !---------------------------------------------------------------- ! 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 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.0..and.work1(i,k,1).lt.0.) & 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 enddo enddo ! ! !---------------------------------------------------------------- ! padding for small values ! do k = kts, kte do i = its, ite if(qci(i,k,1).le.qmin) qci(i,k,1) = 0.0 if(qci(i,k,2).le.qmin) qci(i,k,2) = 0.0 enddo enddo enddo ! big loops END SUBROUTINE wsm62d_WRF ! ................................................................... REAL FUNCTION rgmma(x) !------------------------------------------------------------------- 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) !-------------------------------------------------------------------------- IMPLICIT NONE !-------------------------------------------------------------------------- REAL t,dldt,xa,xb,dldti,xai,xbi,ttp,tr INTEGER ice ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ttp=t0c+0.01 dldt=cpv-cliq xa=-dldt/rv xb=xa+xlv/(rv*ttp) dldti=cpv-cice xai=-dldti/rv xbi=xai+xls/(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 wsm6init(scheme) 1 !------------------------------------------------------------------- IMPLICIT NONE INTEGER, INTENT(IN) :: scheme !------------------------------------------------------------------- !.... constants which may not be tunable REAL :: pi pi = 4.*atan(1.) xlv1 = cliq-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*den0**(4./3.) ! 7.03 bvtr1 = 1.+bvtr bvtr2 = 2.5+.5*bvtr bvtr3 = 3.+bvtr bvtr4 = 4.+bvtr bvtr6 = 6.+bvtr g1pbr = rgmma(bvtr1) g3pbr = rgmma(bvtr3) g4pbr = rgmma(bvtr4) ! 17.837825 g6pbr = rgmma(bvtr6) g5pbro2 = rgmma(bvtr2) ! 1.8273 pvtr = avtr*g4pbr/6. eacrr = 1.0 IF (scheme == 0 .OR. scheme == 1) THEN pacrr = pi*n0r*avtr*g3pbr*.25*eacrr precr1 = 2.*pi*n0r*.78 precr2 = 2.*pi*n0r*.31*avtr**.5*g5pbro2 pidn0r = pi*denr*n0r ELSE IF (scheme == 2) THEN !-------------------------------------------------------- ! change made on March 4 2006 by Zhang for the following three lines with n0r ! calculated inside pacrr = pi*avtr*g3pbr*.25*eacrr precr1 = 2.*pi**.78 precr2 = 2.*pi*.31*avtr**.5*g5pbro2 pidn0r = pi*denr !*n0r !---------------------------------------------------- ELSE WRITE(6,*) 'WARNNING: WRONG scheme inside WSM6 microphysics scheme.' END IF xm0 = (di0/dicon)**2 xmmax = (dimax/dicon)**2 roqimax = 2.08e22*dimax**8 ! 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 pidn0s = pi*dens*n0s ! pacrc = pi*n0s*avts*g3pbs*.25*eacrc ! bvtg1 = 1.+bvtg bvtg2 = 2.5+.5*bvtg bvtg3 = 3.+bvtg bvtg4 = 4.+bvtg g1pbg = rgmma(bvtg1) g3pbg = rgmma(bvtg3) g4pbg = rgmma(bvtg4) pacrg = pi*n0g*avtg*g3pbg*.25 g5pbgo2 = rgmma(bvtg2) pvtg = avtg*g4pbg/6. ! pacrg = pi*n0g*avtg*g3pbg*.25 precg1 = 2.*pi*n0g*.78 precg2 = 2.*pi*n0g*.31*avtg**.5*g5pbgo2 pidn0g = pi*deng*n0g ! rslopermax = 1./lamdarmax rslopesmax = 1./lamdasmax rslopegmax = 1./lamdagmax rsloperbmax = rslopermax ** bvtr rslopesbmax = rslopesmax ** bvts rslopegbmax = rslopegmax ** bvtg rsloper2max = rslopermax * rslopermax rslopes2max = rslopesmax * rslopesmax rslopeg2max = rslopegmax * rslopegmax rsloper3max = rsloper2max * rslopermax rslopes3max = rslopes2max * rslopesmax rslopeg3max = rslopeg2max * rslopegmax ! END SUBROUTINE wsm6init #ifdef WSM6_OPTIM subroutine vrec(y,x,n) 1 real*8 x(*),y(*) do 10 j=1,n y(j)=1.d0/x(j) 10 continue return end subroutine vrec subroutine vsrec(y,x,n) real*4 x(*),y(*) do 10 j=1,n y(j)=1.d0/x(j) 10 continue return end subroutine vsrec subroutine vsqrt(y,x,n) 1 real*8 x(*),y(*) do 10 j=1,n y(j)=sqrt(x(j)) 10 continue return end subroutine vsqrt subroutine vssqrt(y,x,n) real*4 x(*),y(*) do 10 j=1,n y(j)=sqrt(x(j)) 10 continue return end subroutine vssqrt #endif END MODULE module_mp_wsm6