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1、DELFTUNIVERSITYOFTECHNOLOGYREPORT03-03AMass-ConservingLevel-Set(MCLS)MethodforModelingofMulti-PhaseFlowsS.P.vanderPijl,A.Segal,C.VuikISSN1389-6520ReportsoftheDepartmentofAppliedMathematicalAnalysisDelft2003Copyrightã2000byDepartmentofAppliedMathematicalAnalysis,Delft,TheNetherlands.NopartoftheJour
2、nalmaybereproduced,storedinaretrievalsystem,ortransmitted,inanyformorbyanymeans,electronic,mechanical,photocopying,recording,orotherwise,withoutthepriorwrittenpermissionfromDepartmentofAppliedMathematicalAnalysis,DelftUniversityofTechnology,TheNetherlands.AMass-ConservingLevel-Set(MCLS)MethodforMo
3、delingofMulti-PhaseFlowsS.P.vanderPijlA.SegalC.VuikFebruary25,2003AbstractTheMass-ConservingLevel-Set(MCLS)methodisproposedtomodelmulti-phase
ows.Theaimistomodelhighdensity-ratio
owswithcom-plexinterfacetopologies,suchasmixturesofbubblesanddroplets.As-pectswhicharetakenintoaccountare:asharpfront(
4、densitychangesrapidly),arbitraryshapedinterfaces,surfacetension,buoyancyandco-alescenceofdrops/bubbles.Attentionispaidtomass-conservationandintegrityoftheinterface.Asurveyofavailablecomputationalmethodsisperformedin[1].TheproposedcomputationalmethodisacombinationofLevel-SetandVolume-of-Fluidmethod
5、s.The
owiscomputedwithapressurecorrectionmethodwithaMarker-and-Celllayout.Interfaceconditionsaresatis edbymeansofthecontinuoussurfaceforce/stress(CSF/CSS)methodologyandtheGhostFluidmethodforincompressible
ows.TheLevel-Setmethodisanelegantmethod.Themajordisadvan-tageisthatitisnotrigorouslymass-cons
6、erving.Thismeansthatad-ditionale ortisnecessarytoconservemass.TheMCLSmethodintro-ducesaVolume-of-Fluidfunction,whichisadvectedwithouttheneces-sitytoreconstructtheinterface.ThereisastrongrelationshipbetweentheVolume-of-FluidfunctionandtheLevel-Setfunction.InthespiritoftheLevel-Setmethodology,theadv
7、ectionoftheVOF-functionis,un-likeotherVOFmethods,purelyimplicitateverytime.Thismakesthemethodstraightforwardtoapplytoarbitrarilyshapedinterfaces,whichmaycollideandbreakup.1IntroductionMulti-phase
owsoccurcommonly
