简介：Thispaperdescribesanovelsharpinterfaceapproachformodelingthecavitationphenomenainincompressibleviscousflows.Aone-fieldformulationisadoptedforthevapor-liquidtwo-phaseflowandtheinterfaceistrackedusingavolumeoffluid(VOF)method.PhasechangeattheinterfaceismodeledusingasimplificationoftheRayleigh-Plessetequation.Interfacejumpconditionsinvelocityandpressurefieldaretreatedusingalevelsetbasedghostfluidmethod.Thelevelsetfunctionisconstructedfromthevolumefractionfunction.Amarchingcubesmethodisusedtocomputetheinterfaceareaattheinterfacegridcells.Aparallelfastmarchingmethodisemployedtopropagateinterfaceinformationintothefield.Adescriptionoftheequationsandnumericalmethodsispresented.Resultsforacavitatinghydrofoilarecomparedwithexperimentaldata.

简介：Inthispaper,weinvestigateflowswithmovingcontactlinesoncurvedsolidwallsonadual-resolutiongridusingadiffuse-interfaceimmersed-boundary(DIIB)method.Thedual-resolutiongrid,onwhichtheflowsaresolvedonacoarsemeshwhiletheinterfaceisresolvedonafinemesh,wasshowntosignificantlyimprovethecomputationalefficiencywhensimulatingmultiphaseflows.Ontheotherhand,theDIIBmethodisabletoresolvedynamicwettingoncurvedsubstratesonaCartesiangrid,butitusuallyrequiresameshofhighresolutioninthevicinityofamovingcontactlinetoresolvethelocalflow.Inthepresentstudy,wecoupletheDIIBmethodwiththedual-resolutiongrid,toimprovetheinterfaceresolutionforflowswithmovingcontactlinesoncurvedsolidwallsatanaffordablecost.Thedynamicbehaviorofmovingcontactlinesisvalidatedbystudyingdropspreading,andthenumericalresultssuggestthattheeffectivesliplengthλ_ncanbeapproximatedby1.9Cn,whereCnisadimensionlessmeasureofthethicknessofthediffuseinterface.Wealsoapplythemethodtodropimpactontoaconvexsubstrate,andtheresultsonthedual-resolutiongridareingoodagreementwiththoseonasingle-resolutiongrid.ItshowsthattheaxisymmetricsimulationsusingtheDIIBmethodonthedual-resolutiongridsavesnearly60%ofthecomputationaltimecomparedwiththatonasingle-resolutiongrid.