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1、P1:ARK/aryP2:MBL/vksQC:MBL/bsaT1:MBLNovember24,199715:23AnnualReviewsAR049-12Annu.Rev.FluidMech.1998.30:329–64Copyrightc1998byAnnualReviewsInc.AllrightsreservedLATTICEBOLTZMANNMETHODFORFLUIDFLOWSShiyiChen1,2andGaryD.Doolen21IBMResearchDivision,T.J.WatsonResearchCenter,P.O.
2、Box218,YorktownHeights,NY10598;2TheoreticalDivisionandCenterforNonlinearStudies,LosAlamosNationalLaboratory,LosAlamos,NM87545;e-mail:syc@cnls.lanl.govKEYWORDS:latticeBoltzmannmethod,mesoscopicapproach,fluidflowsimulationABSTRACTWepresentanoverviewofthelatticeBoltzmannmethod(
3、LBM),aparallelandefficientalgorithmforsimulatingsingle-phaseandmultiphasefluidflowsandforincorporatingadditionalphysicalcomplexities.TheLBMisespeciallyusefulformodelingcomplicatedboundaryconditionsandmultiphaseinterfaces.Recentextensionsofthismethodaredescribed,includingsimul
4、ationsoffluidturbulence,suspensionflows,andreactiondiffusionsystems.INTRODUCTIONInrecentyears,thelatticeBoltzmannmethod(LBM)hasdevelopedintoanalternativeandpromisingnumericalschemeforsimulatingfluidflowsandmodelingphysicsinfluids.Theschemeisparticularlysuccessfulinfluidflowapplic
5、ationsinvolvinginterfacialdynamicsandcomplexboundaries.Unlikeconventionalnumericalschemesbasedondiscretizationsofmacroscopiccon-tinuumequations,thelatticeBoltzmannmethodisbasedonmicroscopicmod-elsandmesoscopickineticequations.ThefundamentalideaoftheLBMistoconstructsimplifie
6、dkineticmodelsthatincorporatetheessentialphysicsofmicroscopicormesoscopicprocessessothatthemacroscopicaveragedprop-ertiesobeythedesiredmacroscopicequations.Thebasicpremiseforusingthesesimplifiedkinetic-typemethodsformacroscopicfluidflowsisthatthemacroscopicdynamicsofafluidisth
7、eresultofthecollectivebehaviorofmanymicroscopicparticlesinthesystemandthatthemacroscopicdynamicsisnotsensitivetotheunderlyingdetailsinmicroscopicphysics(Kadanoff1986).Bydevelopingasimplifiedversionofthekineticequation,oneavoidssolving3290066-4189/98/0115-0329$08.00P1:ARK/ar
8、yP2:MBL/vksQC:MBL/bsaT1:MBLNovember24,199715:23AnnualReviewsAR049-12330CHEN&DOOLENcomplic
