A 3D incompressible thermal lattice Boltzmann model.pdf

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1、JournalofComputationalPhysics193(2003)260–274www.elsevier.com/locate/jcpA3DincompressiblethermallatticeBoltzmannmodelanditsapplicationtosimulatenaturalconvectioninacubiccavityY.Peng,C.Shu*,Y.T.ChewDepartmentofMechanicalEngineering,NationalUniversityofSingapore,10KentRidgeCrescent,Singapore119260,Sin

2、gaporeReceived22April2003;receivedinrevisedform14August2003;accepted14August2003AbstractA3DincompressiblethermallatticeBoltzmannmodelisproposedinthispapertosolve3Dincompressiblethermalflowproblems.TwodifferentparticlevelocitymodelsofD3Q15andD3Q19areincorporatedinourthermalmodel.Itisindicatedthatthepre

3、sentthermalmodelissimpleandeasyforimplementation.Itisvalidatedbyitsapplicationtosimulatethe3Dnaturalconvectionofairinacubicalenclosure,whichisheateddifferentiallyattwoverticalsidewalls.GoodagreementwasobtainedbetweenthepresentresultsandthosefromaNavier–Stokessolver.Ó2003ElsevierB.V.Allrightsreserved.

4、1.IntroductionLatticeBoltzmannmethod(LBM)isanidealmesoscopicapproachtosolvenonlinearmacroscopicconservationequationsbecauseofitssimplicityandeaseforparallelization.Forincompressibleiso-thermalflows,theLBMisfoundtobeatleastasstable,accurateandcomputationallyefficient,astraditionalcomputationalmethods[1,

5、2]andhasachievedexcellentsuccessindifferentapplicationareassuchasmultiphaseflowandcomplexfluidphenomena[3].Incontrast,itsapplicationattheenergymomentlevelisstillstrugglingwithnumericalinstabilities.AgoodcoverageoftheliteraturereviewaboutthethermalLBMisgivenbyLallemandandLuo[4].Practically,itisimportant

6、andsometimescriticaltohavecapabilitytosimulatethermaleffectssimultaneouslywiththefluidflow.Thetemperaturedistributioninaflowfieldisofcentralinterestinheattransferproblems.Inmostgeo-physicalflows,thetemperaturedifferenceisthedrivingmechanismforthemotionofthefluid.Soitisnecessarytodevelopacapablethermalmodelt

7、osimulatetheincompressiblethermodynamicsusingLBM.*Correspondingauthor.Tel.:+65-6874-6476;fax:+65-6779-1459.E-mailaddress:mpeshuc@nus.edu.sg(C.Shu).0021-9991/$-seefrontmatterÓ2003ElsevierB.V.Allrightsr