module mp_wsm6 use ccpp_kind_types,only: kind_phys use module_libmassv,only: vrec,vsqrt use mp_radar implicit none private public:: mp_wsm6_run, & mp_wsm6_init, & mp_wsm6_finalize, & refl10cm_wsm6 real(kind=kind_phys),parameter,private:: dtcldcr = 120. real(kind=kind_phys),parameter,private:: n0r = 8.e6 real(kind=kind_phys),parameter,private:: avtr = 841.9 real(kind=kind_phys),parameter,private:: bvtr = 0.8 real(kind=kind_phys),parameter,private:: r0 = .8e-5 real(kind=kind_phys),parameter,private:: peaut = .55 real(kind=kind_phys),parameter,private:: xncr = 3.e8 real(kind=kind_phys),parameter,private:: xmyu = 1.718e-5 real(kind=kind_phys),parameter,private:: avts = 11.72 real(kind=kind_phys),parameter,private:: bvts = .41 real(kind=kind_phys),parameter,private:: lamdarmax = 8.e4 real(kind=kind_phys),parameter,private:: lamdasmax = 1.e5 real(kind=kind_phys),parameter,private:: dicon = 11.9 real(kind=kind_phys),parameter,private:: dimax = 500.e-6 real(kind=kind_phys),parameter,private:: pfrz1 = 100. real(kind=kind_phys),parameter,private:: pfrz2 = 0.66 real(kind=kind_phys),parameter,private:: qcrmin = 1.e-9 real(kind=kind_phys),parameter,private:: eacrc = 1.0 real(kind=kind_phys),parameter,private:: dens = 100.0 real(kind=kind_phys),parameter,private:: qs0 = 6.e-4 real(kind=kind_phys),parameter,public :: n0smax = 1.e11 real(kind=kind_phys),parameter,public :: n0s = 2.e6 real(kind=kind_phys),parameter,public :: alpha = .12 real(kind=kind_phys),save:: & qc0,qck1, & bvtr1,bvtr2,bvtr3,bvtr4,g1pbr, & g3pbr,g4pbr,g5pbro2,pvtr,eacrr,pacrr, & bvtr6,g6pbr, & precr1,precr2,roqimax,bvts1, & bvts2,bvts3,bvts4,g1pbs,g3pbs,g4pbs, & n0g,avtg,bvtg,deng,lamdagmax, & g5pbso2,pvts,pacrs,precs1,precs2,pidn0r, & xlv1,pacrc,pi, & bvtg1,bvtg2,bvtg3,bvtg4,g1pbg, & g3pbg,g4pbg,g5pbgo2,pvtg,pacrg, & precg1,precg2,pidn0g, & rslopermax,rslopesmax,rslopegmax, & rsloperbmax,rslopesbmax,rslopegbmax, & rsloper2max,rslopes2max,rslopeg2max, & rsloper3max,rslopes3max,rslopeg3max real(kind=kind_phys),public,save:: pidn0s,pidnc contains subroutine mp_wsm6_init(den0,denr,dens,cl,cpv,hail_opt,errmsg,errflg) integer,intent(in):: hail_opt real(kind=kind_phys),intent(in):: den0,denr,dens,cl,cpv character(len=*),intent(out):: errmsg integer,intent(out):: errflg if(hail_opt .eq. 1) then n0g = 4.e4 deng = 700. avtg = 285.0 bvtg = 0.8 lamdagmax = 2.e4 else n0g = 4.e6 deng = 500 avtg = 330.0 bvtg = 0.8 lamdagmax = 6.e4 endif pi = 4.*atan(1.) xlv1 = cl-cpv qc0 = 4./3.*pi*denr*r0**3*xncr/den0 qck1 = .104*9.8*peaut/(xncr*denr)**(1./3.)/xmyu*den0**(4./3.) pidnc = pi*denr/6. 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) g6pbr = rgmma(bvtr6) g5pbro2 = rgmma(bvtr2) pvtr = avtr*g4pbr/6. eacrr = 1.0 pacrr = pi*n0r*avtr*g3pbr*.25*eacrr precr1 = 2.*pi*n0r*.78 precr2 = 2.*pi*n0r*.31*avtr**.5*g5pbro2 roqimax = 2.08e22*dimax**8 bvts1 = 1.+bvts bvts2 = 2.5+.5*bvts bvts3 = 3.+bvts bvts4 = 4.+bvts g1pbs = rgmma(bvts1) g3pbs = rgmma(bvts3) g4pbs = rgmma(bvts4) g5pbso2 = rgmma(bvts2) pvts = avts*g4pbs/6. pacrs = pi*n0s*avts*g3pbs*.25 precs1 = 4.*n0s*.65 precs2 = 4.*n0s*.44*avts**.5*g5pbso2 pidn0r = pi*denr*n0r pidn0s = pi*dens*n0s pacrc = pi*n0s*avts*g3pbs*.25*eacrc 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. 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 xam_r = PI*denr/6. xbm_r = 3. xmu_r = 0. xam_s = PI*dens/6. xbm_s = 3. xmu_s = 0. xam_g = PI*deng/6. xbm_g = 3. xmu_g = 0. call radar_init errmsg = 'mp_wsm6_init OK' errflg = 0 end subroutine mp_wsm6_init subroutine mp_wsm6_finalize(errmsg,errflg) character(len=*),intent(out):: errmsg integer,intent(out):: errflg errmsg = 'mp_wsm6_finalize OK' errflg = 0 end subroutine mp_wsm6_finalize subroutine mp_wsm6_run(t,q,qc,qi,qr,qs,qg,den,p,delz,delt, & g,cpd,cpv,rd,rv,t0c,ep1,ep2,qmin,xls, & xlv0,xlf0,den0,denr,cliq,cice,psat, & rain,rainncv,sr,snow,snowncv,graupel, & graupelncv,rainprod2d,evapprod2d, & its,ite,kts,kte,errmsg,errflg & ) integer,intent(in):: its,ite,kts,kte real(kind=kind_phys),intent(in),dimension(its:,:):: & den, & p, & delz real(kind=kind_phys),intent(in):: & delt, & g, & cpd, & cpv, & t0c, & den0, & rd, & rv, & ep1, & ep2, & qmin, & xls, & xlv0, & xlf0, & cliq, & cice, & psat, & denr real(kind=kind_phys),intent(inout),dimension(its:,:):: & t real(kind=kind_phys),intent(inout),dimension(its:,:):: & q, & qc, & qi, & qr, & qs, & qg real(kind=kind_phys),intent(inout),dimension(its:):: & rain, & rainncv, & sr real(kind=kind_phys),intent(inout),dimension(its:),optional:: & snow, & snowncv real(kind=kind_phys),intent(inout),dimension(its:),optional:: & graupel, & graupelncv real(kind=kind_phys),intent(inout),dimension(its:,:),optional:: & rainprod2d, & evapprod2d character(len=*),intent(out):: errmsg integer,intent(out):: errflg real(kind=kind_phys),dimension(its:ite,kts:kte,3):: & rh, & qsat, & rslope, & rslope2, & rslope3, & rslopeb, & qrs_tmp, & falk, & fall, & work1 real(kind=kind_phys),dimension(its:ite,kts:kte):: & fallc, & falkc, & work1c, & work2c, & workr, & worka real(kind=kind_phys),dimension(its:ite,kts:kte):: & den_tmp, & delz_tmp real(kind=kind_phys),dimension(its:ite,kts:kte):: & pigen, & pidep, & pcond, & prevp, & psevp, & pgevp, & psdep, & pgdep, & praut, & psaut, & pgaut, & piacr, & pracw, & praci, & pracs, & psacw, & psaci, & psacr, & pgacw, & pgaci, & pgacr, & pgacs, & paacw, & psmlt, & pgmlt, & pseml, & pgeml real(kind=kind_phys),dimension(its:ite,kts:kte):: & qsum, & xl, & cpm, & work2, & denfac, & xni, & denqrs1, & denqrs2, & denqrs3, & denqci, & n0sfac real(kind=kind_phys),dimension(its:ite):: & delqrs1, & delqrs2, & delqrs3, & delqi real(kind=kind_phys),dimension(its:ite):: & tstepsnow, & tstepgraup integer,dimension(its:ite):: & mstep, & numdt logical,dimension(its:ite):: flgcld real(kind=kind_phys):: & cpmcal, xlcal, diffus, & viscos, xka, venfac, conden, diffac, & x, y, z, a, b, c, d, e, & qdt, holdrr, holdrs, holdrg, supcol, supcolt, pvt, & coeres, supsat, dtcld, xmi, eacrs, satdt, & qimax, diameter, xni0, roqi0, & fallsum, fallsum_qsi, fallsum_qg, & vt2i,vt2r,vt2s,vt2g,acrfac,egs,egi, & xlwork2, factor, source, value, & xlf, pfrzdtc, pfrzdtr, supice, alpha2, delta2, delta3 real(kind=kind_phys):: vt2ave real(kind=kind_phys):: holdc, holdci integer:: i, j, k, mstepmax, & iprt, latd, lond, loop, loops, ifsat, n, idim, kdim real(kind=kind_phys):: dldti, xb, xai, tr, xbi, xa, hvap, cvap, hsub, dldt, ttp real(kind=kind_phys),dimension(its:ite):: dvec1,tvec1 real(kind=kind_phys):: temp cpmcal(x) = cpd*(1.-max(x,qmin))+max(x,qmin)*cpv xlcal(x) = xlv0-xlv1*(x-t0c) diffus(x,y) = 8.794e-5 * exp(log(x)*(1.81)) / y viscos(x,y) = 1.496e-6 * (x*sqrt(x)) /(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 do k = kts, kte do i = its, ite qc(i,k) = max(qc(i,k),0.0) qr(i,k) = max(qr(i,k),0.0) qi(i,k) = max(qi(i,k),0.0) qs(i,k) = max(qs(i,k),0.0) qg(i,k) = max(qg(i,k),0.0) enddo enddo 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 do i = its, ite rainncv(i) = 0. if(present(snowncv) .and. present(snow)) snowncv(i) = 0. if(present(graupelncv) .and. present(graupel)) graupelncv(i) = 0. sr(i) = 0. tstepsnow(i) = 0. tstepgraup(i) = 0. enddo loops = max(nint(delt/dtcldcr),1) dtcld = delt/loops if(delt.le.dtcldcr) dtcld = delt do loop = 1,loops do i = its, ite mstep(i) = 1 flgcld(i) = .true. enddo do k = kts, kte do i = its,ite dvec1(i) = den(i,k) enddo call vrec(tvec1,dvec1,ite-its+1) do i = its, ite tvec1(i) = tvec1(i)*den0 enddo call vsqrt(dvec1,tvec1,ite-its+1) do i = its,ite denfac(i,k) = dvec1(i) enddo enddo 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) qsat(i,k,1)=psat*exp(log(tr)*(xa))*exp(xb*(1.-tr)) qsat(i,k,1) = min(qsat(i,k,1),0.99*p(i,k)) qsat(i,k,1) = ep2 * qsat(i,k,1) / (p(i,k) - qsat(i,k,1)) qsat(i,k,1) = max(qsat(i,k,1),qmin) rh(i,k,1) = max(q(i,k) / qsat(i,k,1),qmin) tr=ttp/t(i,k) if(t(i,k).lt.ttp) then qsat(i,k,2)=psat*exp(log(tr)*(xai))*exp(xbi*(1.-tr)) else qsat(i,k,2)=psat*exp(log(tr)*(xa))*exp(xb*(1.-tr)) endif qsat(i,k,2) = min(qsat(i,k,2),0.99*p(i,k)) qsat(i,k,2) = ep2 * qsat(i,k,2) / (p(i,k) - qsat(i,k,2)) qsat(i,k,2) = max(qsat(i,k,2),qmin) rh(i,k,2) = max(q(i,k) / qsat(i,k,2),qmin) enddo enddo do k = kts, kte do i = its, ite prevp(i,k) = 0. psdep(i,k) = 0. pgdep(i,k) = 0. praut(i,k) = 0. psaut(i,k) = 0. pgaut(i,k) = 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. paacw(i,k) = 0. pgaci(i,k) = 0. pgacr(i,k) = 0. pgacs(i,k) = 0. pigen(i,k) = 0. pidep(i,k) = 0. pcond(i,k) = 0. psmlt(i,k) = 0. pgmlt(i,k) = 0. pseml(i,k) = 0. pgeml(i,k) = 0. psevp(i,k) = 0. pgevp(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 do k = kts, kte do i = its, ite temp = (den(i,k)*max(qi(i,k),qmin)) temp = sqrt(sqrt(temp*temp*temp)) xni(i,k) = min(max(5.38e7*temp,1.e3),1.e6) enddo enddo do k = kts, kte do i = its, ite qrs_tmp(i,k,1) = qr(i,k) qrs_tmp(i,k,2) = qs(i,k) qrs_tmp(i,k,3) = qg(i,k) enddo enddo call slope_wsm6(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) qsum(i,k) = max( (qs(i,k)+qg(i,k)), 1.E-15) if( qsum(i,k) .gt. 1.e-15 ) then worka(i,k) = (work1(i,k,2)*qs(i,k) + work1(i,k,3)*qg(i,k)) & / qsum(i,k) else worka(i,k) = 0. endif denqrs1(i,k) = den(i,k)*qr(i,k) denqrs2(i,k) = den(i,k)*qs(i,k) denqrs3(i,k) = den(i,k)*qg(i,k) if(qr(i,k).le.0.0) workr(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_plm6(idim,kdim,den_tmp,denfac,t,delz_tmp,worka, & denqrs2,denqrs3,delqrs2,delqrs3,dtcld,1,1) do k = kts, kte do i = its, ite qr(i,k) = max(denqrs1(i,k)/den(i,k),0.) qs(i,k) = max(denqrs2(i,k)/den(i,k),0.) qg(i,k) = max(denqrs3(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)*worka(i,k)/delz(i,k) fall(i,k,3) = denqrs3(i,k)*worka(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 fall(i,1,3) = delqrs3(i)/delz(i,1)/dtcld enddo do k = kts, kte do i = its, ite qrs_tmp(i,k,1) = qr(i,k) qrs_tmp(i,k,2) = qs(i,k) qrs_tmp(i,k,3) = qg(i,k) enddo enddo call slope_wsm6(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) then xlf = xlf0 work2(i,k) = venfac(p(i,k),t(i,k),den(i,k)) if(qs(i,k).gt.0.) then coeres = rslope2(i,k,2)*sqrt(rslope(i,k,2)*rslopeb(i,k,2)) psmlt(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)/den(i,k) psmlt(i,k) = min(max(psmlt(i,k)*dtcld/mstep(i), & -qs(i,k)/mstep(i)),0.) qs(i,k) = qs(i,k) + psmlt(i,k) qr(i,k) = qr(i,k) - psmlt(i,k) t(i,k) = t(i,k) + xlf/cpm(i,k)*psmlt(i,k) endif if(qg(i,k).gt.0.) then coeres = rslope2(i,k,3)*sqrt(rslope(i,k,3)*rslopeb(i,k,3)) pgmlt(i,k) = xka(t(i,k),den(i,k))/xlf & *(t0c-t(i,k))*(precg1*rslope2(i,k,3) & +precg2*work2(i,k)*coeres)/den(i,k) pgmlt(i,k) = min(max(pgmlt(i,k)*dtcld/mstep(i), & -qg(i,k)/mstep(i)),0.) qg(i,k) = qg(i,k) + pgmlt(i,k) qr(i,k) = qr(i,k) - pgmlt(i,k) t(i,k) = t(i,k) + xlf/cpm(i,k)*pgmlt(i,k) endif endif enddo enddo do k = kte, kts, -1 do i = its, ite if(qi(i,k).le.0.) then work1c(i,k) = 0. else xmi = den(i,k)*qi(i,k)/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 do k = kte, kts, -1 do i = its, ite denqci(i,k) = den(i,k)*qi(i,k) 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 qi(i,k) = max(denqci(i,k)/den(i,k),0.) enddo enddo do i = its, ite fallc(i,1) = delqi(i)/delz(i,1)/dtcld enddo do i = its, ite fallsum = fall(i,kts,1)+fall(i,kts,2)+fall(i,kts,3)+fallc(i,kts) fallsum_qsi = fall(i,kts,2)+fallc(i,kts) fallsum_qg = fall(i,kts,3) if(fallsum.gt.0.) then rainncv(i) = fallsum*delz(i,kts)/denr*dtcld*1000. + rainncv(i) rain(i) = fallsum*delz(i,kts)/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) = fallsum_qsi*delz(i,kts)/denr*dtcld*1000. & + snowncv(i) snow(i) = fallsum_qsi*delz(i,kts)/denr*dtcld*1000. + snow(i) endif endif if(fallsum_qg.gt.0.) then tstepgraup(i) = fallsum_qg*delz(i,kts)/denr*dtcld*1000. & + tstepgraup(i) if(present (graupelncv) .and. present (graupel)) then graupelncv(i) = fallsum_qg*delz(i,kts)/denr*dtcld*1000. & + graupelncv(i) graupel(i) = fallsum_qg*delz(i,kts)/denr*dtcld*1000. + graupel(i) endif endif if(present (snowncv)) then if(fallsum.gt.0.)sr(i)=(snowncv(i) + graupelncv(i))/(rainncv(i)+1.e-12) else if(fallsum.gt.0.)sr(i)=(tstepsnow(i) + tstepgraup(i))/(rainncv(i)+1.e-12) endif enddo 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.qi(i,k).gt.0.) then qc(i,k) = qc(i,k) + qi(i,k) t(i,k) = t(i,k) - xlf/cpm(i,k)*qi(i,k) qi(i,k) = 0. endif if(supcol.gt.40..and.qc(i,k).gt.0.) then qi(i,k) = qi(i,k) + qc(i,k) t(i,k) = t(i,k) + xlf/cpm(i,k)*qc(i,k) qc(i,k) = 0. endif if(supcol.gt.0..and.qc(i,k).gt.qmin) then supcolt=min(supcol,50.) pfrzdtc = min(pfrz1*(exp(pfrz2*supcolt)-1.) & * den(i,k)/denr/xncr*qc(i,k)*qc(i,k)*dtcld,qc(i,k)) qi(i,k) = qi(i,k) + pfrzdtc t(i,k) = t(i,k) + xlf/cpm(i,k)*pfrzdtc qc(i,k) = qc(i,k)-pfrzdtc endif if(supcol.gt.0..and.qr(i,k).gt.0.) then temp = rslope3(i,k,1) temp = temp*temp*rslope(i,k,1) supcolt=min(supcol,50.) pfrzdtr = min(20.*(pi*pi)*pfrz1*n0r*denr/den(i,k) & *(exp(pfrz2*supcolt)-1.)*temp*dtcld, & qr(i,k)) qg(i,k) = qg(i,k) + pfrzdtr t(i,k) = t(i,k) + xlf/cpm(i,k)*pfrzdtr qr(i,k) = qr(i,k)-pfrzdtr endif enddo enddo do k = kts, kte do i = its, ite qrs_tmp(i,k,1) = qr(i,k) qrs_tmp(i,k,2) = qs(i,k) qrs_tmp(i,k,3) = qg(i,k) enddo enddo call slope_wsm6(qrs_tmp,den_tmp,denfac,t,rslope,rslopeb,rslope2,rslope3, & work1,its,ite,kts,kte) 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),qsat(i,k,1)) work1(i,k,2) = diffac(xls,p(i,k),t(i,k),den(i,k),qsat(i,k,2)) work2(i,k) = venfac(p(i,k),t(i,k),den(i,k)) enddo enddo do k = kts, kte do i = its, ite supsat = max(q(i,k),qmin)-qsat(i,k,1) satdt = supsat/dtcld if(qc(i,k).gt.qc0) then praut(i,k) = qck1*qc(i,k)**(7./3.) praut(i,k) = min(praut(i,k),qc(i,k)/dtcld) endif if(qr(i,k).gt.qcrmin.and.qc(i,k).gt.qmin) then pracw(i,k) = min(pacrr*rslope3(i,k,1)*rslopeb(i,k,1) & * qc(i,k)*denfac(i,k),qc(i,k)/dtcld) endif if(qr(i,k).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),-qr(i,k)/dtcld) prevp(i,k) = max(prevp(i,k),satdt/2) else prevp(i,k) = min(prevp(i,k),satdt/2) endif endif enddo enddo 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)-qsat(i,k,2) satdt = supsat/dtcld ifsat = 0 temp = (den(i,k)*max(qi(i,k),qmin)) temp = sqrt(sqrt(temp*temp*temp)) xni(i,k) = min(max(5.38e7*temp,1.e3),1.e6) eacrs = exp(0.07*(-supcol)) xmi = den(i,k)*qi(i,k)/xni(i,k) diameter = min(dicon * sqrt(xmi),dimax) vt2i = 1.49e4*diameter**1.31 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) qsum(i,k) = max( (qs(i,k)+qg(i,k)), 1.E-15) if(qsum(i,k) .gt. 1.e-15) then vt2ave=(vt2s*qs(i,k)+vt2g*qg(i,k))/(qsum(i,k)) else vt2ave=0. endif if(supcol.gt.0.and.qi(i,k).gt.qmin) then if(qr(i,k).gt.qcrmin) then acrfac = 2.*rslope3(i,k,1)+2.*diameter*rslope2(i,k,1) & + diameter**2*rslope(i,k,1) praci(i,k) = pi*qi(i,k)*n0r*abs(vt2r-vt2i)*acrfac/4. praci(i,k) = praci(i,k)*min(max(0.0,qr(i,k)/qi(i,k)),1.)**2 praci(i,k) = min(praci(i,k),qi(i,k)/dtcld) 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) = piacr(i,k)*min(max(0.0,qi(i,k)/qr(i,k)),1.)**2 piacr(i,k) = min(piacr(i,k),qr(i,k)/dtcld) endif if(qs(i,k).gt.qcrmin) then acrfac = 2.*rslope3(i,k,2)+2.*diameter*rslope2(i,k,2) & + diameter**2*rslope(i,k,2) psaci(i,k) = pi*qi(i,k)*eacrs*n0s*n0sfac(i,k) & * abs(vt2ave-vt2i)*acrfac/4. psaci(i,k) = min(psaci(i,k),qi(i,k)/dtcld) endif if(qg(i,k).gt.qcrmin) then egi = exp(0.07*(-supcol)) acrfac = 2.*rslope3(i,k,3)+2.*diameter*rslope2(i,k,3) & + diameter**2*rslope(i,k,3) pgaci(i,k) = pi*egi*qi(i,k)*n0g*abs(vt2ave-vt2i)*acrfac/4. pgaci(i,k) = min(pgaci(i,k),qi(i,k)/dtcld) endif endif if(qs(i,k).gt.qcrmin.and.qc(i,k).gt.qmin) then psacw(i,k) = min(pacrc*n0sfac(i,k)*rslope3(i,k,2)*rslopeb(i,k,2) & * min(max(0.0,qs(i,k)/qc(i,k)),1.)**2 & * qc(i,k)*denfac(i,k),qc(i,k)/dtcld) endif if(qg(i,k).gt.qcrmin.and.qc(i,k).gt.qmin) then pgacw(i,k) = min(pacrg*rslope3(i,k,3)*rslopeb(i,k,3) & * min(max(0.0,qg(i,k)/qc(i,k)),1.)**2 & * qc(i,k)*denfac(i,k),qc(i,k)/dtcld) endif if(qsum(i,k) .gt. 1.e-15) then paacw(i,k) = (qs(i,k)*psacw(i,k)+qg(i,k)*pgacw(i,k)) & /(qsum(i,k)) endif if(qs(i,k).gt.qcrmin.and.qr(i,k).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-vt2ave) & * (dens/den(i,k))*acrfac pracs(i,k) = pracs(i,k)*min(max(0.0,qr(i,k)/qs(i,k)),1.)**2 pracs(i,k) = min(pracs(i,k),qs(i,k)/dtcld) endif 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(vt2ave-vt2r) & * (denr/den(i,k))*acrfac psacr(i,k) = psacr(i,k)*min(max(0.0,qs(i,k)/qr(i,k)),1.)**2 psacr(i,k) = min(psacr(i,k),qr(i,k)/dtcld) endif if(qg(i,k).gt.qcrmin.and.qr(i,k).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(vt2ave-vt2r)*(denr/den(i,k)) & * acrfac pgacr(i,k) = pgacr(i,k)*min(max(0.0,qg(i,k)/qr(i,k)),1.)**2 pgacr(i,k) = min(pgacr(i,k),qr(i,k)/dtcld) endif if(qg(i,k).gt.qcrmin.and.qs(i,k).gt.qcrmin) then pgacs(i,k) = 0. endif if(supcol.le.0) then xlf = xlf0 if(qs(i,k).gt.0.) & pseml(i,k) = min(max(cliq*supcol*(paacw(i,k)+psacr(i,k)) & / xlf,-qs(i,k)/dtcld),0.) if(qg(i,k).gt.0.) & pgeml(i,k) = min(max(cliq*supcol*(paacw(i,k)+pgacr(i,k)) & / xlf,-qg(i,k)/dtcld),0.) endif if(supcol.gt.0) then if(qi(i,k).gt.0.and.ifsat.ne.1) then 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),-qi(i,k)/dtcld) else pidep(i,k) = min(min(pidep(i,k),satdt/2),supice) endif if(abs(prevp(i,k)+pidep(i,k)).ge.abs(satdt)) ifsat = 1 endif if(qs(i,k).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),-qs(i,k)/dtcld) psdep(i,k) = max(max(psdep(i,k),satdt/2),supice) else psdep(i,k) = min(min(psdep(i,k),satdt/2),supice) endif if(abs(prevp(i,k)+pidep(i,k)+psdep(i,k)).ge.abs(satdt)) & ifsat = 1 endif if(qg(i,k).gt.0..and.ifsat.ne.1) then coeres = rslope2(i,k,3)*sqrt(rslope(i,k,3)*rslopeb(i,k,3)) pgdep(i,k) = (rh(i,k,2)-1.)*(precg1*rslope2(i,k,3) & + precg2*work2(i,k)*coeres)/work1(i,k,2) supice = satdt-prevp(i,k)-pidep(i,k)-psdep(i,k) if(pgdep(i,k).lt.0.) then pgdep(i,k) = max(pgdep(i,k),-qg(i,k)/dtcld) pgdep(i,k) = max(max(pgdep(i,k),satdt/2),supice) else pgdep(i,k) = min(min(pgdep(i,k),satdt/2),supice) endif if(abs(prevp(i,k)+pidep(i,k)+psdep(i,k)+pgdep(i,k)).ge. & abs(satdt)) ifsat = 1 endif if(supsat.gt.0.and.ifsat.ne.1) then supice = satdt-prevp(i,k)-pidep(i,k)-psdep(i,k)-pgdep(i,k) xni0 = 1.e3*exp(0.1*supcol) roqi0 = 4.92e-11*xni0**1.33 pigen(i,k) = max(0.,(roqi0/den(i,k)-max(qi(i,k),0.))/dtcld) pigen(i,k) = min(min(pigen(i,k),satdt),supice) endif if(qi(i,k).gt.0.) then qimax = roqimax/den(i,k) psaut(i,k) = max(0.,(qi(i,k)-qimax)/dtcld) endif if(qs(i,k).gt.0.) then alpha2 = 1.e-3*exp(0.09*(-supcol)) pgaut(i,k) = min(max(0.,alpha2*(qs(i,k)-qs0)),qs(i,k)/dtcld) endif endif if(supcol.lt.0.) then if(qs(i,k).gt.0..and.rh(i,k,1).lt.1.) then coeres = rslope2(i,k,2)*sqrt(rslope(i,k,2)*rslopeb(i,k,2)) psevp(i,k) = (rh(i,k,1)-1.)*n0sfac(i,k)*(precs1 & * rslope2(i,k,2)+precs2*work2(i,k) & * coeres)/work1(i,k,1) psevp(i,k) = min(max(psevp(i,k),-qs(i,k)/dtcld),0.) endif if(qg(i,k).gt.0..and.rh(i,k,1).lt.1.) then coeres = rslope2(i,k,3)*sqrt(rslope(i,k,3)*rslopeb(i,k,3)) pgevp(i,k) = (rh(i,k,1)-1.)*(precg1*rslope2(i,k,3) & + precg2*work2(i,k)*coeres)/work1(i,k,1) pgevp(i,k) = min(max(pgevp(i,k),-qg(i,k)/dtcld),0.) endif endif enddo enddo do k = kts, kte do i = its, ite delta2=0. delta3=0. if(qr(i,k).lt.1.e-4.and.qs(i,k).lt.1.e-4) delta2=1. if(qr(i,k).lt.1.e-4) delta3=1. if(t(i,k).le.t0c) then value = max(qmin,qc(i,k)) source = (praut(i,k)+pracw(i,k)+paacw(i,k)+paacw(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 paacw(i,k) = paacw(i,k)*factor endif value = max(qmin,qi(i,k)) source = (psaut(i,k)-pigen(i,k)-pidep(i,k)+praci(i,k)+psaci(i,k) & + pgaci(i,k))*dtcld if (source.gt.value) then factor = value/source psaut(i,k) = psaut(i,k)*factor pigen(i,k) = pigen(i,k)*factor pidep(i,k) = pidep(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 value = max(qmin,qr(i,k)) source = (-praut(i,k)-prevp(i,k)-pracw(i,k)+piacr(i,k)+psacr(i,k) & + pgacr(i,k))*dtcld if (source.gt.value) then factor = value/source praut(i,k) = praut(i,k)*factor prevp(i,k) = prevp(i,k)*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 value = max(qmin,qs(i,k)) source = -(psdep(i,k)+psaut(i,k)-pgaut(i,k)+paacw(i,k)+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 psdep(i,k) = psdep(i,k)*factor psaut(i,k) = psaut(i,k)*factor pgaut(i,k) = pgaut(i,k)*factor paacw(i,k) = paacw(i,k)*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 value = max(qmin,qg(i,k)) source = -(pgdep(i,k)+pgaut(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)+paacw(i,k)+pgacr(i,k)+pgacs(i,k))*dtcld if (source.gt.value) then factor = value/source pgdep(i,k) = pgdep(i,k)*factor pgaut(i,k) = pgaut(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 paacw(i,k) = paacw(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)=-(prevp(i,k)+psdep(i,k)+pgdep(i,k)+pigen(i,k)+pidep(i,k)) q(i,k) = q(i,k)+work2(i,k)*dtcld qc(i,k) = max(qc(i,k)-(praut(i,k)+pracw(i,k) & + paacw(i,k)+paacw(i,k))*dtcld,0.) qr(i,k) = max(qr(i,k)+(praut(i,k)+pracw(i,k) & + prevp(i,k)-piacr(i,k)-pgacr(i,k) & - psacr(i,k))*dtcld,0.) qi(i,k) = max(qi(i,k)-(psaut(i,k)+praci(i,k) & + psaci(i,k)+pgaci(i,k)-pigen(i,k)-pidep(i,k)) & * dtcld,0.) qs(i,k) = max(qs(i,k)+(psdep(i,k)+psaut(i,k)+paacw(i,k) & - pgaut(i,k)+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.) qg(i,k) = max(qg(i,k)+(pgdep(i,k)+pgaut(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)+paacw(i,k) & + pgacr(i,k)+pgacs(i,k))*dtcld,0.) xlf = xls-xl(i,k) xlwork2 = -xls*(psdep(i,k)+pgdep(i,k)+pidep(i,k)+pigen(i,k)) & -xl(i,k)*prevp(i,k)-xlf*(piacr(i,k)+paacw(i,k) & +paacw(i,k)+pgacr(i,k)+psacr(i,k)) t(i,k) = t(i,k)-xlwork2/cpm(i,k)*dtcld else value = max(qmin,qc(i,k)) source=(praut(i,k)+pracw(i,k)+paacw(i,k)+paacw(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 paacw(i,k) = paacw(i,k)*factor endif value = max(qmin,qr(i,k)) source = (-paacw(i,k)-praut(i,k)+pseml(i,k)+pgeml(i,k)-pracw(i,k) & -paacw(i,k)-prevp(i,k))*dtcld if (source.gt.value) then factor = value/source praut(i,k) = praut(i,k)*factor prevp(i,k) = prevp(i,k)*factor pracw(i,k) = pracw(i,k)*factor paacw(i,k) = paacw(i,k)*factor pseml(i,k) = pseml(i,k)*factor pgeml(i,k) = pgeml(i,k)*factor endif value = max(qcrmin,qs(i,k)) source=(pgacs(i,k)-pseml(i,k)-psevp(i,k))*dtcld if (source.gt.value) then factor = value/source pgacs(i,k) = pgacs(i,k)*factor psevp(i,k) = psevp(i,k)*factor pseml(i,k) = pseml(i,k)*factor endif value = max(qcrmin,qg(i,k)) source=-(pgacs(i,k)+pgevp(i,k)+pgeml(i,k))*dtcld if (source.gt.value) then factor = value/source pgacs(i,k) = pgacs(i,k)*factor pgevp(i,k) = pgevp(i,k)*factor pgeml(i,k) = pgeml(i,k)*factor endif work2(i,k)=-(prevp(i,k)+psevp(i,k)+pgevp(i,k)) q(i,k) = q(i,k)+work2(i,k)*dtcld qc(i,k) = max(qc(i,k)-(praut(i,k)+pracw(i,k) & + paacw(i,k)+paacw(i,k))*dtcld,0.) qr(i,k) = max(qr(i,k)+(praut(i,k)+pracw(i,k) & + prevp(i,k)+paacw(i,k)+paacw(i,k)-pseml(i,k) & - pgeml(i,k))*dtcld,0.) qs(i,k) = max(qs(i,k)+(psevp(i,k)-pgacs(i,k) & + pseml(i,k))*dtcld,0.) qg(i,k) = max(qg(i,k)+(pgacs(i,k)+pgevp(i,k) & + pgeml(i,k))*dtcld,0.) xlf = xls-xl(i,k) xlwork2 = -xl(i,k)*(prevp(i,k)+psevp(i,k)+pgevp(i,k)) & -xlf*(pseml(i,k)+pgeml(i,k)) t(i,k) = t(i,k)-xlwork2/cpm(i,k)*dtcld endif enddo enddo 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) qsat(i,k,1)=psat*exp(log(tr)*(xa))*exp(xb*(1.-tr)) qsat(i,k,1) = min(qsat(i,k,1),0.99*p(i,k)) qsat(i,k,1) = ep2 * qsat(i,k,1) / (p(i,k) - qsat(i,k,1)) qsat(i,k,1) = max(qsat(i,k,1),qmin) tr=ttp/t(i,k) if(t(i,k).lt.ttp) then qsat(i,k,2)=psat*exp(log(tr)*(xai))*exp(xbi*(1.-tr)) else qsat(i,k,2)=psat*exp(log(tr)*(xa))*exp(xb*(1.-tr)) endif qsat(i,k,2) = min(qsat(i,k,2),0.99*p(i,k)) qsat(i,k,2) = ep2 * qsat(i,k,2) / (p(i,k) - qsat(i,k,2)) qsat(i,k,2) = max(qsat(i,k,2),qmin) enddo enddo do k = kts, kte do i = its, ite work1(i,k,1) = conden(t(i,k),q(i,k),qsat(i,k,1),xl(i,k),cpm(i,k)) work2(i,k) = qc(i,k)+work1(i,k,1) pcond(i,k) = min(max(work1(i,k,1)/dtcld,0.),max(q(i,k),0.)/dtcld) if(qc(i,k).gt.0..and.work1(i,k,1).lt.0.) & pcond(i,k) = max(work1(i,k,1),-qc(i,k))/dtcld q(i,k) = q(i,k)-pcond(i,k)*dtcld qc(i,k) = max(qc(i,k)+pcond(i,k)*dtcld,0.) t(i,k) = t(i,k)+pcond(i,k)*xl(i,k)/cpm(i,k)*dtcld enddo enddo do k = kts, kte do i = its, ite if(qc(i,k).le.qmin) qc(i,k) = 0.0 if(qi(i,k).le.qmin) qi(i,k) = 0.0 enddo enddo enddo if(present(rainprod2d) .and. present(evapprod2d)) then do k = kts, kte do i = its,ite rainprod2d(i,k) = praut(i,k)+pracw(i,k)+praci(i,k)+psaci(i,k)+pgaci(i,k) & + psacw(i,k)+pgacw(i,k)+paacw(i,k)+psaut(i,k) evapprod2d(i,k) = -(prevp(i,k)+psevp(i,k)+pgevp(i,k)+psdep(i,k)+pgdep(i,k)) enddo enddo endif errmsg = 'mp_wsm6_run OK' errflg = 0 end subroutine mp_wsm6_run real(kind=kind_phys) function rgmma(x) real(kind=kind_phys),intent(in):: x integer:: i real(kind=kind_phys),parameter:: euler=0.577215664901532 real(kind=kind_phys):: y 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(kind=kind_phys) function fpvs(t,ice,rd,rv,cvap,cliq,cice,hvap,hsub,psat,t0c) integer,intent(in):: ice real(kind=kind_phys),intent(in):: cice,cliq,cvap,hsub,hvap,psat,rd,rv,t0c real(kind=kind_phys),intent(in):: t real(kind=kind_phys):: tr,ttp,dldt,dldti,xa,xb,xai,xbi 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) 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 slope_wsm6(qrs,den,denfac,t,rslope,rslopeb,rslope2,rslope3,vt,its,ite,kts,kte) integer:: its,ite,kts,kte real(kind=kind_phys),intent(in),dimension(its:ite,kts:kte):: den,denfac,t real(kind=kind_phys),intent(in),dimension(its:ite,kts:kte,3):: qrs real(kind=kind_phys),intent(inout),dimension(its:ite,kts:kte,3):: & rslope,rslopeb,rslope2,rslope3,vt integer:: i,k real(kind=kind_phys),parameter:: t0c = 273.15 real(kind=kind_phys):: lamdar,lamdas,lamdag,x,y,z,supcol real(kind=kind_phys),dimension(its:ite,kts:kte):: n0sfac lamdar(x,y)= sqrt(sqrt(pidn0r/(x*y))) lamdas(x,y,z)= sqrt(sqrt(pidn0s*z/(x*y))) lamdag(x,y)= sqrt(sqrt(pidn0g/(x*y))) 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(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 vt(i,k,1) = pvtr*rslopeb(i,k,1)*denfac(i,k) vt(i,k,2) = pvts*rslopeb(i,k,2)*denfac(i,k) vt(i,k,3) = pvtg*rslopeb(i,k,3)*denfac(i,k) if(qrs(i,k,1).le.0.0) vt(i,k,1) = 0.0 if(qrs(i,k,2).le.0.0) vt(i,k,2) = 0.0 if(qrs(i,k,3).le.0.0) vt(i,k,3) = 0.0 enddo enddo end subroutine slope_wsm6 subroutine slope_rain(qrs,den,denfac,t,rslope,rslopeb,rslope2,rslope3,vt,its,ite,kts,kte) integer:: its,ite,kts,kte real(kind=kind_phys),intent(in),dimension(its:ite,kts:kte):: qrs,den,denfac,t real(kind=kind_phys),intent(inout),dimension(its:ite,kts:kte):: & rslope,rslopeb,rslope2,rslope3,vt integer:: i,k real(kind=kind_phys),parameter:: t0c = 273.15 real(kind=kind_phys):: lamdar,x,y real(kind=kind_phys),dimension(its:ite,kts:kte):: n0sfac lamdar(x,y)= sqrt(sqrt(pidn0r/(x*y))) do k = kts, kte do i = its, ite 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 rslope2(i,k) = rslope(i,k)*rslope(i,k) rslope3(i,k) = rslope2(i,k)*rslope(i,k) endif vt(i,k) = pvtr*rslopeb(i,k)*denfac(i,k) if(qrs(i,k).le.0.0) vt(i,k) = 0.0 enddo enddo end subroutine slope_rain subroutine slope_snow(qrs,den,denfac,t,rslope,rslopeb,rslope2,rslope3,vt,its,ite,kts,kte) integer:: its,ite,kts,kte real(kind=kind_phys),intent(in),dimension(its:ite,kts:kte):: qrs,den,denfac,t real(kind=kind_phys),intent(inout),dimension(its:ite,kts:kte):: & rslope,rslopeb,rslope2,rslope3,vt integer:: i,k real(kind=kind_phys),parameter:: t0c = 273.15 real(kind=kind_phys):: lamdas,x,y,z,supcol real(kind=kind_phys),dimension(its:ite,kts:kte):: n0sfac lamdas(x,y,z)= sqrt(sqrt(pidn0s*z/(x*y))) 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(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 rslope2(i,k) = rslope(i,k)*rslope(i,k) rslope3(i,k) = rslope2(i,k)*rslope(i,k) endif vt(i,k) = pvts*rslopeb(i,k)*denfac(i,k) if(qrs(i,k).le.0.0) vt(i,k) = 0.0 enddo enddo end subroutine slope_snow subroutine slope_graup(qrs,den,denfac,t,rslope,rslopeb,rslope2,rslope3,vt,its,ite,kts,kte) integer:: its,ite,kts,kte real(kind=kind_phys),intent(in),dimension(its:ite,kts:kte):: qrs,den,denfac,t real(kind=kind_phys),intent(inout),dimension(its:ite,kts:kte):: & rslope,rslopeb,rslope2,rslope3,vt integer:: i,k real(kind=kind_phys),parameter:: t0c = 273.15 real(kind=kind_phys):: lamdag,x,y real(kind=kind_phys),dimension(its:ite,kts:kte):: n0sfac lamdag(x,y)= sqrt(sqrt(pidn0g/(x*y))) do k = kts, kte do i = its, ite if(qrs(i,k).le.qcrmin)then rslope(i,k) = rslopegmax rslopeb(i,k) = rslopegbmax rslope2(i,k) = rslopeg2max rslope3(i,k) = rslopeg3max else rslope(i,k) = 1./lamdag(qrs(i,k),den(i,k)) rslopeb(i,k) = rslope(i,k)**bvtg rslope2(i,k) = rslope(i,k)*rslope(i,k) rslope3(i,k) = rslope2(i,k)*rslope(i,k) endif vt(i,k) = pvtg*rslopeb(i,k)*denfac(i,k) if(qrs(i,k).le.0.0) vt(i,k) = 0.0 enddo enddo end subroutine slope_graup subroutine nislfv_rain_plm(im,km,denl,denfacl,tkl,dzl,wwl,rql,precip,dt,id,iter) integer,intent(in):: im,km,id,iter real(kind=kind_phys),intent(in):: dt real(kind=kind_phys),intent(in),dimension(im,km):: dzl,denl,denfacl,tkl real(kind=kind_phys),intent(inout),dimension(im):: precip real(kind=kind_phys),intent(inout),dimension(im,km):: rql,wwl integer:: i,k,n,m,kk,kb,kt real(kind=kind_phys):: tl,tl2,qql,dql,qqd real(kind=kind_phys):: th,th2,qqh,dqh real(kind=kind_phys):: zsum,qsum,dim,dip,c1,con1,fa1,fa2 real(kind=kind_phys):: allold,allnew,zz,dzamin,cflmax,decfl real(kind=kind_phys),dimension(km):: dz,ww,qq,wd,wa,was real(kind=kind_phys),dimension(km):: den,denfac,tk real(kind=kind_phys),dimension(km):: qn,qr,tmp,tmp1,tmp2,tmp3 real(kind=kind_phys),dimension(km+1):: wi,zi,za real(kind=kind_phys),dimension(km+1):: dza,qa,qmi,qpi precip(:) = 0.0 i_loop: do i=1,im dz(:) = dzl(i,:) qq(:) = rql(i,:) ww(:) = wwl(i,:) den(:) = denl(i,:) denfac(:) = denfacl(i,:) tk(:) = tkl(i,:) allold = 0.0 do k=1,km allold = allold + qq(k) enddo if(allold.le.0.0) then cycle i_loop endif zi(1)=0.0 do k=1,km zi(k+1) = zi(k)+dz(k) enddo wd(:) = ww(:) n=1 100 continue wi(1) = ww(1) wi(km+1) = ww(km) do k=2,km wi(k) = (ww(k)*dz(k-1)+ww(k-1)*dz(k))/(dz(k-1)+dz(k)) enddo fa1 = 9./16. fa2 = 1./16. wi(1) = ww(1) wi(2) = 0.5*(ww(2)+ww(1)) do k=3,km-1 wi(k) = fa1*(ww(k)+ww(k-1))-fa2*(ww(k+1)+ww(k-2)) enddo wi(km) = 0.5*(ww(km)+ww(km-1)) wi(km+1) = ww(km) do k=2,km if( ww(k).eq.0.0 ) wi(k)=ww(k-1) enddo con1 = 0.05 do k=km,1,-1 decfl = (wi(k+1)-wi(k))*dt/dz(k) if( decfl .gt. con1 ) then wi(k) = wi(k+1) - con1*dz(k)/dt endif enddo do k=1,km+1 za(k) = zi(k) - wi(k)*dt enddo do k=1,km dza(k) = za(k+1)-za(k) enddo dza(km+1) = zi(km+1) - za(km+1) do k=1,km qa(k) = qq(k)*dz(k)/dza(k) qr(k) = qa(k)/den(k) enddo qa(km+1) = 0.0 if( n.le.iter ) then call slope_rain(qr,den,denfac,tk,tmp,tmp1,tmp2,tmp3,wa,1,1,1,km) if( n.ge.2 ) wa(1:km)=0.5*(wa(1:km)+was(1:km)) do k=1,km ww(k) = 0.5* ( wd(k)+wa(k) ) enddo was(:) = wa(:) n=n+1 go to 100 endif do k=2,km dip=(qa(k+1)-qa(k))/(dza(k+1)+dza(k)) dim=(qa(k)-qa(k-1))/(dza(k-1)+dza(k)) if( dip*dim.le.0.0 ) then qmi(k)=qa(k) qpi(k)=qa(k) else qpi(k)=qa(k)+0.5*(dip+dim)*dza(k) qmi(k)=2.0*qa(k)-qpi(k) if( qpi(k).lt.0.0 .or. qmi(k).lt.0.0 ) then qpi(k) = qa(k) qmi(k) = qa(k) endif endif enddo qpi(1)=qa(1) qmi(1)=qa(1) qmi(km+1)=qa(km+1) qpi(km+1)=qa(km+1) qn = 0.0 kb=1 kt=1 intp : do k=1,km kb=max(kb-1,1) kt=max(kt-1,1) if( zi(k).ge.za(km+1) ) then exit intp else find_kb : do kk=kb,km if( zi(k).le.za(kk+1) ) then kb = kk exit find_kb else cycle find_kb endif enddo find_kb find_kt : do kk=kt,km if( zi(k+1).le.za(kk) ) then kt = kk exit find_kt else cycle find_kt endif enddo find_kt kt = kt - 1 if( kt.eq.kb ) then tl=(zi(k)-za(kb))/dza(kb) th=(zi(k+1)-za(kb))/dza(kb) tl2=tl*tl th2=th*th qqd=0.5*(qpi(kb)-qmi(kb)) qqh=qqd*th2+qmi(kb)*th qql=qqd*tl2+qmi(kb)*tl qn(k) = (qqh-qql)/(th-tl) else if( kt.gt.kb ) then tl=(zi(k)-za(kb))/dza(kb) tl2=tl*tl qqd=0.5*(qpi(kb)-qmi(kb)) qql=qqd*tl2+qmi(kb)*tl dql = qa(kb)-qql zsum = (1.-tl)*dza(kb) qsum = dql*dza(kb) if( kt-kb.gt.1 ) then do m=kb+1,kt-1 zsum = zsum + dza(m) qsum = qsum + qa(m) * dza(m) enddo endif th=(zi(k+1)-za(kt))/dza(kt) th2=th*th qqd=0.5*(qpi(kt)-qmi(kt)) dqh=qqd*th2+qmi(kt)*th zsum = zsum + th*dza(kt) qsum = qsum + dqh*dza(kt) qn(k) = qsum/zsum endif cycle intp endif enddo intp sum_precip: do k=1,km if( za(k).lt.0.0 .and. za(k+1).lt.0.0 ) then precip(i) = precip(i) + qa(k)*dza(k) cycle sum_precip else if ( za(k).lt.0.0 .and. za(k+1).ge.0.0 ) then precip(i) = precip(i) + qa(k)*(0.0-za(k)) exit sum_precip endif exit sum_precip enddo sum_precip rql(i,:) = qn(:) enddo i_loop end subroutine nislfv_rain_plm subroutine nislfv_rain_plm6(im,km,denl,denfacl,tkl,dzl,wwl,rql,rql2,precip1,precip2,dt,id,iter) integer,intent(in):: im,km,id,iter real(kind=kind_phys),intent(in):: dt real(kind=kind_phys),intent(in),dimension(im,km):: dzl,denl,denfacl,tkl real(kind=kind_phys),intent(inout),dimension(im):: precip1,precip2 real(kind=kind_phys),intent(inout),dimension(im,km):: rql,rql2,wwl integer:: i,ist,k,n,m,kk,kb,kt real(kind=kind_phys):: tl,tl2,qql,dql,qqd real(kind=kind_phys):: th,th2,qqh,dqh real(kind=kind_phys):: zsum,qsum,dim,dip,c1,con1,fa1,fa2 real(kind=kind_phys):: allold,allnew,zz,dzamin,cflmax,decfl real(kind=kind_phys),dimension(km):: dz,ww,qq,qq2,wd,wa,wa2,was real(kind=kind_phys),dimension(km):: den,denfac,tk real(kind=kind_phys),dimension(km):: qn,qr,qr2,tmp,tmp1,tmp2,tmp3 real(kind=kind_phys),dimension(km+1):: wi,zi,za real(kind=kind_phys),dimension(km+1):: dza,qa,qa2,qmi,qpi real(kind=kind_phys),dimension(im):: precip precip(:) = 0.0 precip1(:) = 0.0 precip2(:) = 0.0 i_loop: do i=1,im dz(:) = dzl(i,:) qq(:) = rql(i,:) qq2(:) = rql2(i,:) ww(:) = wwl(i,:) den(:) = denl(i,:) denfac(:) = denfacl(i,:) tk(:) = tkl(i,:) allold = 0.0 do k=1,km allold = allold + qq(k) + qq2(k) enddo if(allold.le.0.0) then cycle i_loop endif zi(1)=0.0 do k=1,km zi(k+1) = zi(k)+dz(k) enddo wd(:) = ww(:) n=1 100 continue wi(1) = ww(1) wi(km+1) = ww(km) do k=2,km wi(k) = (ww(k)*dz(k-1)+ww(k-1)*dz(k))/(dz(k-1)+dz(k)) enddo fa1 = 9./16. fa2 = 1./16. wi(1) = ww(1) wi(2) = 0.5*(ww(2)+ww(1)) do k=3,km-1 wi(k) = fa1*(ww(k)+ww(k-1))-fa2*(ww(k+1)+ww(k-2)) enddo wi(km) = 0.5*(ww(km)+ww(km-1)) wi(km+1) = ww(km) do k=2,km if( ww(k).eq.0.0 ) wi(k)=ww(k-1) enddo con1 = 0.05 do k=km,1,-1 decfl = (wi(k+1)-wi(k))*dt/dz(k) if( decfl .gt. con1 ) then wi(k) = wi(k+1) - con1*dz(k)/dt endif enddo do k=1,km+1 za(k) = zi(k) - wi(k)*dt enddo do k=1,km dza(k) = za(k+1)-za(k) enddo dza(km+1) = zi(km+1) - za(km+1) do k=1,km qa(k) = qq(k)*dz(k)/dza(k) qa2(k) = qq2(k)*dz(k)/dza(k) qr(k) = qa(k)/den(k) qr2(k) = qa2(k)/den(k) enddo qa(km+1) = 0.0 qa2(km+1) = 0.0 if( n.le.iter ) then call slope_snow(qr,den,denfac,tk,tmp,tmp1,tmp2,tmp3,wa,1,1,1,km) call slope_graup(qr2,den,denfac,tk,tmp,tmp1,tmp2,tmp3,wa2,1,1,1,km) do k = 1, km tmp(k) = max((qr(k)+qr2(k)), 1.E-15) if( tmp(k) .gt. 1.e-15 ) then wa(k) = (wa(k)*qr(k) + wa2(k)*qr2(k))/tmp(k) else wa(k) = 0. endif enddo if( n.ge.2 ) wa(1:km)=0.5*(wa(1:km)+was(1:km)) do k=1,km ww(k) = 0.5* ( wd(k)+wa(k) ) enddo was(:) = wa(:) n=n+1 go to 100 endif ist_loop : do ist = 1, 2 if (ist.eq.2) then qa(:) = qa2(:) endif precip(i) = 0. do k=2,km dip=(qa(k+1)-qa(k))/(dza(k+1)+dza(k)) dim=(qa(k)-qa(k-1))/(dza(k-1)+dza(k)) if( dip*dim.le.0.0 ) then qmi(k)=qa(k) qpi(k)=qa(k) else qpi(k)=qa(k)+0.5*(dip+dim)*dza(k) qmi(k)=2.0*qa(k)-qpi(k) if( qpi(k).lt.0.0 .or. qmi(k).lt.0.0 ) then qpi(k) = qa(k) qmi(k) = qa(k) endif endif enddo qpi(1)=qa(1) qmi(1)=qa(1) qmi(km+1)=qa(km+1) qpi(km+1)=qa(km+1) qn = 0.0 kb=1 kt=1 intp : do k=1,km kb=max(kb-1,1) kt=max(kt-1,1) if( zi(k).ge.za(km+1) ) then exit intp else find_kb : do kk=kb,km if( zi(k).le.za(kk+1) ) then kb = kk exit find_kb else cycle find_kb endif enddo find_kb find_kt : do kk=kt,km if( zi(k+1).le.za(kk) ) then kt = kk exit find_kt else cycle find_kt endif enddo find_kt kt = kt - 1 if( kt.eq.kb ) then tl=(zi(k)-za(kb))/dza(kb) th=(zi(k+1)-za(kb))/dza(kb) tl2=tl*tl th2=th*th qqd=0.5*(qpi(kb)-qmi(kb)) qqh=qqd*th2+qmi(kb)*th qql=qqd*tl2+qmi(kb)*tl qn(k) = (qqh-qql)/(th-tl) else if( kt.gt.kb ) then tl=(zi(k)-za(kb))/dza(kb) tl2=tl*tl qqd=0.5*(qpi(kb)-qmi(kb)) qql=qqd*tl2+qmi(kb)*tl dql = qa(kb)-qql zsum = (1.-tl)*dza(kb) qsum = dql*dza(kb) if( kt-kb.gt.1 ) then do m=kb+1,kt-1 zsum = zsum + dza(m) qsum = qsum + qa(m) * dza(m) enddo endif th=(zi(k+1)-za(kt))/dza(kt) th2=th*th qqd=0.5*(qpi(kt)-qmi(kt)) dqh=qqd*th2+qmi(kt)*th zsum = zsum + th*dza(kt) qsum = qsum + dqh*dza(kt) qn(k) = qsum/zsum endif cycle intp endif enddo intp sum_precip: do k=1,km if( za(k).lt.0.0 .and. za(k+1).lt.0.0 ) then precip(i) = precip(i) + qa(k)*dza(k) cycle sum_precip else if ( za(k).lt.0.0 .and. za(k+1).ge.0.0 ) then precip(i) = precip(i) + qa(k)*(0.0-za(k)) exit sum_precip endif exit sum_precip enddo sum_precip if(ist.eq.1) then rql(i,:) = qn(:) precip1(i) = precip(i) else rql2(i,:) = qn(:) precip2(i) = precip(i) endif enddo ist_loop enddo i_loop end subroutine nislfv_rain_plm6 subroutine refl10cm_wsm6(qv1d,qr1d,qs1d,qg1d,t1d,p1d,dBZ,kts,kte) implicit none integer,intent(in):: kts,kte real(kind=kind_phys),intent(in),dimension(kts:kte):: qv1d,qr1d,qs1d,qg1d,t1d,p1d real(kind=kind_phys),intent(inout),dimension(kts:kte):: dBz logical:: melti logical,dimension(kts:kte):: l_qr,l_qs,l_qg INTEGER:: i,k,k_0,kbot,n real(kind=kind_phys),parameter:: R=287. real(kind=kind_phys):: temp_c real(kind=kind_phys),dimension(kts:kte):: temp,pres,qv,rho real(kind=kind_phys),dimension(kts:kte):: rr,rs,rg real(kind=kind_phys),dimension(kts:kte):: ze_rain,ze_snow,ze_graupel double precision:: fmelt_s,fmelt_g double precision:: cback,x,eta,f_d double precision,dimension(kts:kte):: ilamr,ilams,ilamg double precision,dimension(kts:kte):: n0_r, n0_s, n0_g double precision:: lamr,lams,lamg do k = kts, kte dBZ(k) = -35.0 enddo do k = kts, kte temp(k) = t1d(k) temp_c = min(-0.001, temp(k)-273.15) qv(k) = max(1.e-10, qv1d(k)) pres(k) = p1d(k) rho(k) = 0.622*pres(k)/(R*temp(k)*(qv(k)+0.622)) if (qr1d(k) .gt. 1.e-9) then rr(k) = qr1d(k)*rho(k) n0_r(k) = n0r lamr = (xam_r*xcrg(3)*n0_r(k)/rr(k))**(1./xcre(1)) ilamr(k) = 1./lamr l_qr(k) = .true. else rr(k) = 1.e-12 l_qr(k) = .false. endif if (qs1d(k) .gt. 1.e-9) then rs(k) = qs1d(k)*rho(k) n0_s(k) = min(n0smax, n0s*exp(-alpha*temp_c)) lams = (xam_s*xcsg(3)*n0_s(k)/rs(k))**(1./xcse(1)) ilams(k) = 1./lams l_qs(k) = .true. else rs(k) = 1.e-12 l_qs(k) = .false. endif if (qg1d(k) .gt. 1.e-9) then rg(k) = qg1d(k)*rho(k) n0_g(k) = n0g lamg = (xam_g*xcgg(3)*n0_g(k)/rg(k))**(1./xcge(1)) ilamg(k) = 1./lamg l_qg(k) = .true. else rg(k) = 1.e-12 l_qg(k) = .false. endif enddo melti = .false. k_0 = kts do k = kte-1, kts, -1 if ( (temp(k).gt.273.15) .and. L_qr(k) & .and. (L_qs(k+1).or.L_qg(k+1)) ) then k_0 = MAX(k+1, k_0) melti=.true. goto 195 endif enddo 195 continue do k = kts, kte ze_rain(k) = 1.e-22 ze_snow(k) = 1.e-22 ze_graupel(k) = 1.e-22 if (l_qr(k)) ze_rain(k) = n0_r(k)*xcrg(4)*ilamr(k)**xcre(4) if (l_qs(k)) ze_snow(k) = (0.176/0.93) * (6.0/pi)*(6.0/pi) & * (xam_s/900.0)*(xam_s/900.0) & * n0_s(k)*xcsg(4)*ilams(k)**xcse(4) if (l_qg(k)) ze_graupel(k) = (0.176/0.93) * (6.0/pi)*(6.0/pi) & * (xam_g/900.0)*(xam_g/900.0) & * n0_g(k)*xcgg(4)*ilamg(k)**xcge(4) enddo if (melti .and. k_0.ge.kts+1) then do k = k_0-1, kts, -1 if (L_qs(k) .and. L_qs(k_0) ) then fmelt_s = MAX(0.005d0, MIN(1.0d0-rs(k)/rs(k_0), 0.99d0)) eta = 0.d0 lams = 1./ilams(k) do n = 1, nrbins x = xam_s * xxDs(n)**xbm_s call rayleigh_soak_wetgraupel (x,dble(xocms),dble(xobms), & fmelt_s, melt_outside_s, m_w_0, m_i_0, lamda_radar, & cback, mixingrulestring_s, matrixstring_s, & inclusionstring_s, hoststring_s, & hostmatrixstring_s, hostinclusionstring_s) f_d = n0_s(k)*xxds(n)**xmu_s * dexp(-lams*xxds(n)) eta = eta + f_d * cback * simpson(n) * xdts(n) enddo ze_snow(k) = sngl(lamda4 / (pi5 * k_w) * eta) endif if (l_qg(k) .and. l_qg(k_0) ) then fmelt_g = max(0.005d0, min(1.0d0-rg(k)/rg(k_0), 0.99d0)) eta = 0.d0 lamg = 1./ilamg(k) do n = 1, nrbins x = xam_g * xxdg(n)**xbm_g call rayleigh_soak_wetgraupel (x,dble(xocmg),dble(xobmg), & fmelt_g, melt_outside_g, m_w_0, m_i_0, lamda_radar, & cback, mixingrulestring_g, matrixstring_g, & inclusionstring_g, hoststring_g, & hostmatrixstring_g, hostinclusionstring_g) f_d = n0_g(k)*xxdg(n)**xmu_g * dexp(-lamg*xxdg(n)) eta = eta + f_d * cback * simpson(n) * xdtg(n) enddo ze_graupel(k) = sngl(lamda4 / (pi5 * k_w) * eta) endif enddo endif do k = kte, kts, -1 dBZ(k) = 10.*log10((ze_rain(k)+ze_snow(k)+ze_graupel(k))*1.d18) enddo end subroutine refl10cm_wsm6 end module mp_wsm6