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?? cldwat.f90

?? CCSM Research Tools: Community Atmosphere Model (CAM)
?? F90
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   use comsrf,        only: landm!! input args!   integer, intent(in) :: lchnk                 ! chunk identifier   integer, intent(in) :: ncol                  ! number of atmospheric columns   integer, intent(in) :: k                     ! level index   real(r8), intent(in) :: precab(pcols)        ! rate of precipitation from above (kg / (m**2 * s))   real(r8), intent(in) :: t(pcols,pver)        ! temperature       (K)   real(r8), intent(in) :: p(pcols,pver)        ! pressure          (Pa)   real(r8), intent(in) :: cldm(pcols)          ! cloud fraction   real(r8), intent(in) :: cldmax(pcols)        ! max cloud fraction above this level   real(r8), intent(in) :: cwm(pcols)           ! condensate mixing ratio (kg/kg)   real(r8), intent(in) :: fice(pcols)          ! fraction of cwat that is ice   real(r8), intent(in) :: icefrac(pcols)       ! sea ice fraction ! output arguments   real(r8), intent(out) :: coef(pcols)          ! conversion rate (1/s)   real(r8), intent(out) :: fwaut(pcols)         ! relative importance of liquid autoconversion (a diagnostic)   real(r8), intent(out) :: fsaut(pcols)         ! relative importance of ice autoconversion    (a diagnostic)   real(r8), intent(out) :: fracw(pcols)         ! relative importance of rain accreting liquid (a diagnostic)   real(r8), intent(out) :: fsacw(pcols)         ! relative importance of snow accreting liquid (a diagnostic)   real(r8), intent(out) :: fsaci(pcols)         ! relative importance of snow accreting ice    (a diagnostic)! work variables   integer i   integer ii   integer ind(pcols)   integer ncols   real(r8), parameter :: degrad = 57.296 ! divide by this to convert degrees to radians   real(r8) alpha                ! ratio of 3rd moment radius to 2nd   real(r8) capc                 ! constant for autoconversion   real(r8) capn                 ! local cloud particles / cm3   real(r8) capnoice             ! local cloud particles when not over sea ice / cm3   real(r8) capnsi               ! sea ice cloud particles / cm3   real(r8) capnc                ! cold and oceanic cloud particles / cm3   real(r8) capnw                ! warm continental cloud particles / cm3   real(r8) ciaut                ! coefficient of autoconversion of ice (1/s)   real(r8) ciautb               ! coefficient of autoconversion of ice (1/s)   real(r8) cldloc(pcols)        ! non-zero amount of cloud   real(r8) cldpr(pcols)         ! assumed cloudy volume occupied by rain and cloud   real(r8) con1                 ! work constant   real(r8) con2                 ! work constant   real(r8) convfw               ! constant used for fall velocity calculation   real(r8) cracw                ! constant used for rain accreting water   real(r8) critpr               ! critical precip rate collection efficiency changes   real(r8) csacx                ! constant used for snow accreting liquid or ice   real(r8) dtice                ! interval for transition from liquid to ice   real(r8) effc                 ! collection efficiency   real(r8) icemr(pcols)         ! in-cloud ice mixing ratio   real(r8) icrit                ! threshold for autoconversion of ice   real(r8) icritc               ! threshold for autoconversion of cold ice   real(r8) icritw               ! threshold for autoconversion of warm ice   real(r8) kconst               ! const for terminal velocity (stokes regime)   real(r8) liqmr(pcols)         ! in-cloud liquid water mixing ratio   real(r8) pracw                ! rate of rain accreting water   real(r8) prlloc(pcols)        ! local rain flux in mm/day   real(r8) prscgs(pcols)        ! local snow amount in cgs units   real(r8) psaci                ! rate of collection of ice by snow (lin et al 1983)   real(r8) psacw                ! rate of collection of liquid by snow (lin et al 1983)   real(r8) psaut                ! rate of autoconversion of ice condensate   real(r8) ptot                 ! total rate of conversion   real(r8) pwaut                ! rate of autoconversion of liquid condensate   real(r8) r3l                  ! volume radius   real(r8) r3lcrit              ! critical radius at which autoconversion become efficient   real(r8) rainmr(pcols)        ! in-cloud rain mixing ratio   real(r8) rat1                 ! work constant   real(r8) rat2                 ! work constant   real(r8) rdtice               ! recipricol of dtice   real(r8) rho(pcols)           ! density (mks units)   real(r8) rhocgs               ! density (cgs units)   real(r8) rlat(pcols)          ! latitude (radians)   real(r8) snowfr               ! fraction of precipate existing as snow   real(r8) totmr(pcols)         ! in-cloud total condensate mixing ratio   real(r8) vfallw               ! fall speed of precipitate as liquid   real(r8) wp                   ! weight factor used in calculating pressure dep of autoconversion   real(r8) wsi                  ! weight factor for sea ice   real(r8) wt                   ! fraction of ice   real(r8) wland                ! fraction of land!      real(r8) csaci!      real(r8) csacw!      real(r8) cwaut!      real(r8) efact!      real(r8) lamdas!      real(r8) lcrit!      real(r8) rcwm!      real(r8) r3lc2!      real(r8) snowmr(pcols)!      real(r8) vfalls!     inline statement functions   real(r8) heavy, heavym, a1, a2, heavyp, heavymp   heavy(a1,a2) = max(0._r8,sign(1._r8,a1-a2))  ! heavyside function   heavym(a1,a2) = max(0.01_r8,sign(1._r8,a1-a2))  ! modified heavyside function!! New heavyside functions to perhaps address error growth problems!   heavyp(a1,a2) = a1/(a2+a1+1.e-36)   heavymp(a1,a2) = (a1+0.01*a2)/(a2+a1+1.e-36)! critical precip rate at which we assume the collector drops can change the! drop size enough to enhance the auto-conversion process (mm/day)   critpr = 0.5   convfw = 1.94*2.13*sqrt(rhow*1000.*9.81*2.7e-4)! liquid microphysics!      cracw = 6                 ! beheng   cracw = .884*sqrt(9.81/(rhow*1000.*2.7e-4)) ! tripoli and cotton! ice microphysics!      ciautb = 6.e-4!      ciautb = 1.e-3   ciautb = 5.e-4!      icritw = 1.e-5!      icritw = 5.e-5   icritw = 4.e-4!      icritc = 4.e-6!      icritc = 6.e-6   icritc = 5.e-6   dtice = 20.   rdtice = 1./dtice   capnw = 400.              ! warm continental cloud particles / cm3   capnc = 150.              ! cold and oceanic cloud particles / cm3!  capnsi = 40.              ! sea ice cloud particles density  / cm3   capnsi =  5.              ! sea ice cloud particles density  / cm3   kconst = 1.18e6           ! const for terminal velocity!      effc = 1.                 ! autoconv collection efficiency following boucher 96!      effc = .55*0.05           ! autoconv collection efficiency following baker 93   effc = 0.55                ! autoconv collection efficiency following tripoli and cotton!   effc = 0.    ! turn off warm-cloud autoconv   alpha = 1.1**4   capc = pi**(-.333)*kconst*effc *(0.75)**(1.333)*alpha  ! constant for autoconversion   r3lcrit = 15.0e-6         ! 15.0u  crit radius where liq conversion begins!! find all the points where we need to do the microphysics! and set the output variables to zero!   ncols = 0   do i = 1,ncol      coef(i) = 0.      fwaut(i) = 0.      fsaut(i) = 0.      fracw(i) = 0.      fsacw(i) = 0.      fsaci(i) = 0.      liqmr(i) = 0.      rainmr(i) = 0.      if (cwm(i) > 1.e-20) then         ncols = ncols + 1         ind(ncols) = i      endif   end do!cdir$ ivdep   do ii = 1,ncols      i = ind(ii)!! the local cloudiness at this level!      cldloc(i) = max(cldmin,cldm(i))!! a weighted mean between max cloudiness above, and this layer!      cldpr(i) = max(cldmin,(cldmax(i)+cldm(i))*0.5)!! decompose the suspended condensate into! an incloud liquid and ice phase component!      totmr(i) = cwm(i)/cldloc(i)      icemr(i) = totmr(i)*fice(i)      liqmr(i) = totmr(i)*(1.-fice(i))!! density!      rho(i) = p(i,k)/(287.*t(i,k))      rhocgs = rho(i)*1.e-3     ! density in cgs units!! decompose the precipitate into a liquid and ice phase!      if (t(i,k) > t0) then         vfallw = convfw/sqrt(rho(i))         rainmr(i) = precab(i)/(rho(i)*vfallw*cldpr(i))         snowfr = 0      else         snowfr = 1         rainmr(i) = 0.      endif!! local snow amount in cgs units!      prscgs(i) = precab(i)/cldpr(i)*0.1*snowfr!! local rain amount in mm/day!      prlloc(i) = precab(i)*86400./cldpr(i)   end do   con1 = 1./(1.333*pi)**0.333 * 0.01 ! meters!! calculate the conversion terms!   call get_rlat_all_p(lchnk, ncol, rlat)!cdir$ ivdep   do ii = 1,ncols      i = ind(ii)      rhocgs = rho(i)*1.e-3     ! density in cgs units!! exponential temperature factor!!        efact = exp(0.025*(t(i,k)-t0))!! some temperature dependent constants!      wt = min(1._r8,max(0._r8,(t0-t(i,k))*rdtice))      icrit = icritc*wt + icritw*(1-wt)!! linear weight factor in pressure (1 near sfc, 0 at .8 of sfc)!      wp = min(1._r8,max(0._r8,(p(i,k)-0.8*p(i,pver))/(0.2*p(i,pver))))!! near land near sfc raise the number concentration! except south of 60S where land is so clean we treat it as ocean!      if (rlat(i) < -60./degrad) then         wland = 0.      else         wland = landm(i,lchnk)      endif            capnoice =  wland*(capnw*wp + capnc*(1-wp))+ &                  (1.-wland)*capnc!!     modify the estimated value to acknowledge cloud water number changes over sea ice!      wsi = icefrac(i) ! (1 all sea ice, 0, all ocean or land)      capn = (capnsi*wsi + capnoice*(1-wsi))*wp + capnoice*(1-wp)!!!!  enable the following line to get old cloudwater behavior!!!!  capn = capnoice      if (icefrac(i) > 0.001) then         capn = capnsi      else         capn = capnoice      endif#ifdef DEBUG      if ( (lat(i) == latlook(1)) .or. (lat(i) == latlook(2)) ) then         if (i == ilook(1)) then            write (6,*) ' findmcnew: lat, k, icefrac, landm, wp, capnoice, capn ', &                 lat(i), k, icefrac(i), landm(i,lat(i)), wp, capnoice, capn         endif      endif#endif!! useful terms in following calculations!      rat1 = rhocgs/rhow      rat2 = liqmr(i)/capn      con2 = (rat1*rat2)**0.333!! volume radius!!        r3l = (rhocgs*liqmr(i)/(1.333*pi*capn*rhow))**0.333 * 0.01 ! meters      r3l = con1*con2!! critical threshold for autoconversion if modified for mixed phase! clouds to mimic a bergeron findeisen process! r3lc2 = r3lcrit*(1.-0.5*fice(i)*(1-fice(i)))!! autoconversion of liquid!!        cwaut = 2.e-4!        cwaut = 1.e-3!        lcrit = 2.e-4!        lcrit = 5.e-4!        pwaut = max(0._r8,liqmr(i)-lcrit)*cwaut!! pwaut is following tripoli and cotton (and many others)! we reduce the autoconversion below critpr, because these are regions where! the drop size distribution is likely to imply much smaller collector drops than! those relevant for a cloud distribution corresponding to the value of effc = 0.55! suggested by cotton (see austin 1995 JAS, baker 1993)! easy to follow form!        pwaut = capc*liqmr(i)**2*rhocgs/rhow!    $           *(liqmr(i)*rhocgs/(rhow*capn))**(.333)!    $           *heavy(r3l,r3lcrit)!    $           *max(0.10_r8,min(1._r8,prlloc(i)/critpr))! somewhat faster form#define HEAVYNEW#ifdef HEAVYNEW!#ifdef PERGRO      pwaut = capc*liqmr(i)**2*rat1*con2*heavymp(r3l,r3lcrit) * &              max(0.10_r8,min(1._r8,prlloc(i)/critpr))#else      pwaut = capc*liqmr(i)**2*rat1*con2*heavym(r3l,r3lcrit)* &              max(0.10_r8,min(1._r8,prlloc(i)/critpr))#endif!! autoconversion of ice!!        ciaut = ciautb*efact      ciaut = ciautb!        psaut = capc*totmr(i)**2*rhocgs/rhoi!     $           *(totmr(i)*rhocgs/(rhoi*capn))**(.333)!! autoconversion of ice condensate!#ifdef PERGRO      psaut = heavyp(icemr(i),icrit)*icemr(i)*ciaut#else      psaut = max(0._r8,icemr(i)-icrit)*ciaut#endif!! collection of liquid by rain!!        pracw = cracw*rho(i)*liqmr(i)*rainmr(i) !(beheng 1994)      pracw = cracw*rho(i)*sqrt(rho(i))*liqmr(i)*rainmr(i) !(tripoli and cotton)!!      pracw = 0.!

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