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Page 1: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

CAMTutorial2009 Image:Victoria,Australia,Feb2009

Page 2: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

Outline

• Whatis‘CloudMicrophysics’•  DifferentApproaches•  CAMimplementaFonofMicrophysics•  AerosolModeling•  OpFonsinCAM•  InteracFons– Scavenging/DeposiFon– AerosolIndirectEffectsonClimate

CAMTutorial:Microphysics

Page 3: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

Scope

•  “CloudMicrophysics”referstothecondensedphasewaterprocessesintheatmosphere– MicrophysicalproperFesofcondensedspecies

•  sizedistribuFons,shapes– DistribuFonofandtransformaFonofcondensedspecies

•  precipitaFonandphaseconversion•  InCAM:thisequatesto‘straFform’cloudmicrophysics– ConvecFvecloudshaveevenmoreheavilyparameterizedmicrophysics

•  LargeScaleCondensaFonitselfisgenerallyhandledby“cloudmacrophysics”(cloudfracFon)

CAMTutorial:Microphysics

Page 4: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

KeyoperaFonsonCondensedSpecies

•  Condense/Sublimate•  Sediment

•  ConverttoprecipitaFon•  DetermineproperFesforotherprocesses– Chemicalspecies(scavenging)– Physicalstate(size,number)forradiaFon

CAMTutorial:Microphysics

Page 5: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

WhatdoesthismeanforSimulaFons?

• MicrophysicscontrolsdetailsofprecipitaFon– Rate,locaFon– OverallprecipitaFonlimitedbyenergybalanceconstraints(P‐E)

•  CoupledwithCondensaFon(macrophysics)itdeterminescloudproperFes– InCAM:straFformcloudfracFonandproperFes– Also,usesconvecFvedetrainment

CAMTutorial:Microphysics

Page 6: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

SampleImpact•  ChangethevapordeposiFonprocessinthemicrophysicstobemoreefficient(removeH2O) LowerRHReducedCloudinessby20%(51‐41%) Globalchangeof2Wm‐2atTOA.

ΔRH ΔCldFrc

CAMTutorial:Microphysics

Page 7: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

MoFvaFon

•  Cloudsareaverysignificantuncertaintyinclimatemodels(IPCC,2007)

• Manywaystodefinemicrophysicalprocessesthatleadtopresentstate:thesemethodsmayresponddifferentlytoclimatechange

•  CriFcaltoreduceuncertainFes.GoalhasbeentoincreasecomplexitysothatprocessmodelslookmorelikeobservaFons

CAMTutorial:Microphysics

Page 8: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

DifferenttypesofMicrophysics

•  BulkMicrophysics– Massbasedonly(2species:liquidandice)– BulktransformaFonsandprocesses– SpecifiedsizesorsizedistribuFons– EarlyschemeswerediagnosFc(e.g.:yesterday)

•  BinMicrophysics– MulFplesizebins(manyconsFtuents)withamassineach.ExplicitrepresentaFonofsizedistribuFon

– TransformaFonsdependonmassandnumber

CAMTutorial:Microphysics

Page 9: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

ModalMicrophysics

•  UseananalyFcrepresentaFonofthesizedistribuFonandcarryaroundmomentsofthedistribuFon– Firstmoment=mass

– 2ndmoment=number– SizedistribuFonreconstructedfromanassumedshape.

– Advantage:representsizesconsistentlywithcomputaFonalefficiency

CAMTutorial:Microphysics

Page 10: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

CAMMicrophysics

•  CAM3.5:BulkMicrophysicswithprognosFccondensateP.J.RaschandJ.E.Kristjansson,1998

•  CAM4.0:ModalMicrophysicsH.MorrisonandA.Gelelman,2008;Gelelmanetal2008

•  StartwithRK98scheme,thenbriefdescripFonofMG08

CAMTutorial:Microphysics

Page 11: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

CAMMicrophysics

•  CAM3.5:BulkMicrophysicswithprognosFccondensate:P.J.RaschandJ.E.Kristjansson.AcomparisonofCCM3modelclimateusingdiagnosedandpredictedcondensateparameterizaFons.J.Clim.,11:1587‐1614,1998.

•  CAM4.0:ModalMicrophysicsH.MorrisonandA.Gelelman,Anewtwo‐momentbulkstraFformcloudmicrophysicsschemeintheCommunityAtmosphericModel(CAM3),PartI:DescripFonandNumericalTestsJ.Climate,21:15,3642‐3659,2008

CAMTutorial:Microphysics

Page 12: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

CAM3BulkMicrophysics

•  CoupledtoSlingo(1987)RHbasedcloudfracFon– FracFonalcloudiness:A>0whenRH>0.88orso

•  CondensaFonclosurefromZhangetal(2003)– AllowsparFalcloudiness

•  Fixedice&liquidfracFonasafuncFonoftemperature– NotabadassumpFonbasedonobservaFons

•  ForradiaFvetransfer&sedimentaFon,assumedFixedparFclesizesforliquidoverland/ocean(largeroverocean).

•  IcecrystalsizeisafuncFonoftemperatureorpressure

CAMTutorial:Microphysics

Page 13: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

CAM3BulkMicrophysics(2)

•  PrognosFcvariablesforLiquid&Icemass•  DetrainedliquidfromconvecFonputintostraFformmicrophysicsscheme

CAMTutorial:Microphysics

Page 14: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

Macroscalecomponent

A=tendenciesduetootherprocessesQ=netcondensaFonEr=netevaporaFonRl=rain/snowformaFonrateMacrophysicsisconcernedwithdetermining“Q”

SubtleFes:arisedueto(1)in‐cloudv.outofcloudregions,(2)newlyformingcloud

CAMTutorial:Microphysics

VaporTendency

TemperatureTendency

CondensateTendency

Page 15: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

MicroscaleComponent

•  IceandliquidreparFFonedaccordingtoT– Typically‐40to‐10C(canbechanged)– HeatisassociatedwiththetransformaFon

•  Detrainedcondensateadded•  PrecipitaFonFluxesdetermined

•  SedimentaFoniscalculated– IcevelocityisafuncFonofsize(effecFveradius,rei)– Liquidvelocityalso,butonly2values(land,ocean)

CAMTutorial:Microphysics

Page 16: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

MicroscaleProcesses

ConversionTerms:•  Liquid&iceconversiontorain(Auto‐conversion)•  CollecFonofliquidandicebyprecipitaFon•  CollecFonofLiquidbysnow(riming)

ConversiontermsareafuncFonofmodelstate,andgenerallyempiricalfitstofieldcampaigns(mostdatefrom1980’sorso): Tripoli&Colon1980,Kessler1969,Linetal1983,etc

CAMTutorial:Microphysics

Page 17: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

ProcessRates

•  Complexforms•  Example,autoconversionofliquidwatertorain(PWAUT)

H=heavy‐side(binaryfuncFon0,1whenexpression>or<0)

N=assumednumberdensityCl,autisratebasedonsize

•  Formfroma1Dmodelofstratocumulusclouds,modifiedfromearliercumulusexperiments.

CAMTutorial:Microphysics

Page 18: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

RelaFveImportanceofProcesses

LiqRain

LiqCollecFon(rain)

IceSnow

IceCollecFon(snow)

LiqCollecFon(snow)

CAMTutorial:Microphysics

Page 19: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

Notes

•  ForopFcalcalculaFons,liquidparFclesassumedtobe8µmoverlandand14µmoverocean

•  IcesizeisafuncFonoftemperature(alsoaffectsfallspeed)

Temperature

BulkIceEffecFveRadius

CAMTutorial:Microphysics

Page 20: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

ModalMicrophysicsFeatures•  Basedonaschemeformeso‐scalemodels•  AddiFonofliquid&iceprognosFcnumber•  MixedphasevapordeposiFon– notemperaturedependenceforliquidv.ice

•  Icesuper‐saturaFon•  Sub‐gridrepresentaFonoftotalwater•  AcFvaFonofcloudliquidandicebyaerosols•  Usesub‐gridverFcalvelocityfromTKE•  DiagnosFcrepresentaFonofrainandsnowmass&number

•  Processes(collecFon,auto‐conversion)similar.AddnucleaFonprocessesCAMTutorial:Microphysics

Page 21: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

CAMTutorial:Microphysics

q,NCloudIce

(Prognos3c)

q,NSnow

(Diagnos3c)

q,NCloudDroplets(Prognos3c)

q,NRain

(Diagnos3c)

ConversionProcesses

Sedimenta3on Sedimenta3on

qWaterVapor(Prognos3c)

Evapora3on Sublima3on

Dep/SubEvap/Cond

q=mixingraFoN=numberconcentraFon

Aerosol(CCN

Number)

Aerosol(IN

Number)

q,NConvec3veDetrainment

Riming

Page 22: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

IceFracFon(MixedPhase)

CAMTutorial:Microphysics

Page 23: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

QuesFons?

CAMTutorial:Microphysics

Page 24: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

AerosolsWhydowecareaboutaerosolsinaclimatemodel?

CAMTutorial:Microphysics

Page 25: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

AerosolsAerosolsAffectRadiaFon

CAMTutorial:Microphysics

Page 26: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

AerosolModeling

•  Physicalprocessmodel(parameterizaFons)tosimulateasetofaerosolspecies

•  BulkModel(CAM3)

•  ModalTreatment(CAM4)

•  Heritage(inorder):1.Simulatedirecteffectsofaerosolsforclimate2.ChemicaltransformaFonsofaerosolsandinteracFonsofmasswithclouds(scavenging&deposiFon)

3.Connectaerosolswithclouds

CAMTutorial:Microphysics

Page 27: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

BulkAerosolModel•  ComesfromMOZARTchemicaltransportmodel(nowCAM‐CHEM)

•  Bulk(massbased)representaFonof:– Seasalt(2modes/bins)– Dust(4bins)– Sulfate:Natural(Volcanic)andAnthropogenic– BlackandOrganicCarbon(Hydrophilic&Hydrophobic):NaturalandAnthropogenic

•  Externalmixturesonly:massesareindependent•  Prescribedsizes:numberproporFonaltomass•  WetDeposiFonandDryDeposiFon/Scavenging•  CAM3includesAerosolShortwaveeffectsonly!CAMTutorial:Microphysics

Page 28: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

DryDeposiFon

•  ‘seriesresistance’methodusing‘aerodynamic’resistanceinlowestmodelleveltodeterminedeposiFonvelocity,Vd

•  ThenFlux=Vdn1,n1=concentraFoninlowestlevel

CAMTutorial:Microphysics

Page 29: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

WetDeposiFon/Scavenging

•  Gasesscavengedonlybyliquid– BasedonHenry’slaw(solubility:f[pH,T])

•  Aerosolsscavengedbyliquidandice– IncloudscavengingassumesafixedfracFonremainsincloudwaterandremovedalongwithfracFonofcloudwaterthatprecipitates

– BelowcloudscavengingassumedtobeafirstorderlossprocessL=CPqwhereC=collecFonefficiency,P=precipflux(mm/h)andq=speciesmixingraFo

CAMTutorial:Microphysics

Page 30: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

ModalAerosolModel

•  Versions:Benchmark7mode&Efficient3mode•  Internalmixtures(coagulaFonwithin&betweenmodes)•  Ultrafinesea‐salt•  CondensaFonofTraceGases(H2SO4)onaerosols•  AgingofcarbontoaccumulaFonmodebasedonsulfatecoaFng

•  NewSecondaryOrganicAerosolTreatment•  NewAerosolOpFcs:DirecteffectsinLWandSW•  Emissionsavailable:– AEROCOM– NewIPCCAR5emissions

CAMTutorial:Microphysics

Page 31: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

3‐ModeAerosolModel•  Assumeprimarycarbonisinternallymixedwithsecondaryaerosol

•  Sourcesofdustandseasaltaregeographicallyseparate

•  Assumeammoniumneutralizessulfate

•  15totaladvectedspecies

AitkennumbersulfatesecondaryOMseasalt

AccumulaFonnumbersulfatesecondaryOMprimaryOMblackcarbonsoildustseasalt

coagulaFoncondensaFon

Coarsenumbersoildustseasaltsulfate

CAMTutorial:Microphysics

Page 32: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

KeyInteracFons

•  AerosolsandCloudMicrophysics– AerosolIndirectEffects

•  CloudsandRadiaFon

CAMTutorial:Microphysics

Page 33: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

Aerosol‐CloudInteracFons

Rosenfeldetal,Science2008CAMTutorial:Microphysics

Page 34: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

AerosolCloudInteracFons

Aerosolsleadto:

•  Brighterclouds•  LongerLasFng,lessprecipitaFon(supressdrizzle)

CAMTutorial:Microphysics

Page 35: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

AerosolsandMixed/IcePhase

•  DrizzlesuppressionmightincreaseprecipitaFonintensityinmixed‐phaseclouds

•  Iceindirecteffectsmaybedifferent:– Icenucleiarerare.SomemayinduceearliercloudformaFon(lowersuper‐saturaFon)

– ThisleadstofewerparFcles(oppositeeffect)– CirruscloudsalsohaveeffectsinLongwave

CAMTutorial:Microphysics

Page 36: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

Aerosol‐CloudInteracFonsinCAM

•  CAM3:DirecteffectsofAerosolsonly(SW)•  CAM4/Modal:– DirectEffectsinLW&SW– IndirecteffectsforLiquidandIce

•  CAM4:IndirectEffects– AerosolnumberaffectsacFvatednumberofclouddrops/crystals

– IcenucleaFon:dependsonsulfate&dustnumbers

CAMTutorial:Microphysics

Page 37: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

CloudsandRadiaFon

•  GoalhasbeenaconsistenttreatmentofcloudandradiaFonprocesses

•  RadiaFoncodehasdetailedrepresentaFonofcloudverFcalstructure(overlap)

•  Bulk(RK98)schemehasfixedcloudparFclesize•  ModalMicrophysics(MG2008)prognosesnumber(&parFclesize):moreconsistentandflexibletreatment.

•  Difficulty:wedonotknowwhattheparFclesizesreallyarefromobservaFons

CAMTutorial:Microphysics

Page 38: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

LiquidWaterPath

•  FundamentalobservaFonaluncertainty:– Howmuchcondensedwaterisintheatmosphere?

•  WeknowbelertheradiaFvefluxes(RF,LW&SW)

•  ButthenulFmatelyRF=f(LWP,re)

•  MulFpleSoluFons:– DifferentmicrophysicsschemesproducesimilarcloudradiaFveforcingwithverydifferentsizesandLiquidWaterPaths

– SameradiaFoncode

CAMTutorial:Microphysics

Page 39: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

OldandNewMicrophysics

CAMTutorial:Microphysics Gelelmanetal,2008

Page 40: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

Summary•  CloudmicrophysicsareacriFcalpartoftheclimatesystem

•  BasicformulaFonisaseriesofprocessrates•  BulkschemehasbeentradiFonalpath•  New2‐modetreatmentavailable•  ObservaFonalconstraintsoncloudsareprobablynotsufficienttoconstrainimportantglobaluncertainFes

•  Goingfromsmallscaleglobalscaleisachallenge•  Aerosolsalsoplayanimportantroleintheclimatesystemandinteractwithclouds

•  Aerosol‐cloudinteracFonsareveryimportantinunderstandingclimatesensiFvity

CAMTutorial:Microphysics

Page 41: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

Aerosols&ClimateChange

CAMTutorial:Microphysics

RadiaFveForcinginClimateModelsVarieswithAerosols!

Page 42: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

GlobalConstraintsKiehl2007,GRL: λ=ΔQ2x/ΔT2xinequilibriumwhenH=0

ΔQ=λΔT+H20thCenturyΔT,H(Δoceanheatcontent)&ΔQ2xknown:.

Then, ΔQ=F(1/ΔT2x)VariaFonsinclimatesensiFvity(ΔT2x)correspondtodifferencesintotalforcing(ΔQ).ΔQchangesduetodirectand/orindirectAerosolforcing

Dashed:UncertaintyinOceanHeatcontent

Page 43: CAM Tutorial 2009 Image: Victoria, Australia, Feb 2009 · Modal Microphysics ... P. J. Rasch and J. E. Kristjansson. A comparison of CCM3 model climate using

References

Gelelman,A.,H.MorrisonandS.J.GhanAnewtwo‐momentbulkstraFformcloudmicrophysicsschemeintheCommunityAtmosphericModel(CAM3),PartII:Single‐columnandglobalresultsJ.Climate,21:15,3660‐36792008

H.MorrisonandA.Gelelman,Anewtwo‐momentbulkstraFformcloudmicrophysicsschemeintheCommunityAtmosphericModel(CAM3),PartI:DescripFonandNumericalTestsJ.Climate,21:15,3642‐3659,2008

P.J.RaschandJ.E.Kristjansson.AcomparisonofCCM3modelclimateusingdiagnosedandpredictedcondensateparameterizaFons.J.Clim.,11:1587‐1614,1998.

Slingo,J.M.1987:ThedevelopmentandverificaFonofacloudpredicFonschemefortheECMWFmodel.Quart.J.Roy.Meteor.Soc.,113,899–927.

M.Zhang,W.Lin,C.S.Bretherton,J.J.Hack,andP.J.Rasch.AmodifiedformulaFonoffracFonalstraFformcondensaFonrateinthencarcommunityatmosphericmodel(cam2).J.Geophys.Res.,108(D1),2003.

CAMTutorial:Microphysics