IBM An immersed boundary method with direct forcing for the simulation of particulate flows.pdf

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1、JournalofComputationalPhysics209(2005)448–476www.elsevier.com/locate/jcpAnimmersedboundarymethodwithdirectforcingforthesimulationofparticulateflowsMarkusUhlmann*DepartamentodeCombustiblesFo´siles,CIEMAT,AvenidaComplutense22,28040Madrid,SpainReceived23September20

2、04;receivedinrevisedform19January2005;accepted12March2005Availableonline26May2005AbstractWepresentanimprovedmethodforcomputingincompressibleviscousflowaroundsuspendedrigidparticlesusingafixedanduniformcomputationalgrid.ThemainideaistoincorporatePeskinÕsregularize

3、ddeltafunctionapproach[ActaNumerica11(2002)1]intoadirectformulationofthefluid–solidinteractionforceinordertoallowforasmoothtransferbetweenEulerianandLagrangianrepresentationswhileatthesametimeavoidingstrongrestrictionsofthetimestep.Thistechniquewasimplementedina

4、finite-differenceandfractional-stepcontext.Avarietyoftwo-andthree-dimensionalsimulationsarepresented,rangingfromtheflowaroundasinglecylindertothesedimentationof1000sphericalparticles.Theaccuracyandefficiencyofthecurrentmethodareclearlydemonstrated.Ó2005ElsevierInc.A

5、llrightsreserved.Keywords:Immersed-boundarymethod;Directinteractionforce;Finite-differencemethod;Navier–Stokesequations;Particulateflow;Sedimentation1.IntroductionFluid–particlesystemsareofconsiderablescientificandtechnologicalinterestinawiderangeofdisci-plines.So

6、meexamplesare:chemicalengineering(fluidizedbeds),medicalsciences(bloodflow)andcivilengineering(sedimenttransportnearriverbeds).Ourpresentunderstandingofthedynamicsofthesesys-temsisfarfromcompleteandcomplexphenomenasuchastheformationofparticleclustersunder‘‘tur-bu

7、lent’’conditionsarestillawaitingadefiniteexplanation[1].Intheframeworkofsingle-phaseturbulentflowtheanalysisofdatafromdirectnumericalsimulation(DNS)hasprovenparticularlyfruitful[2].Thisstrategyappearsequallypromisingforthefutureofmulti-phaseflows,butthecomputation

8、alchallengeisonlystartingtobecomeaccessible.Indeed,inrecent*Tel.:+34913466000;fax:+34913466269.E-mailaddress:markus.uhlmann@ciemat.es.0021-9991/$-seefrontmatterÓ2005Elsevier