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1、JournalofComputationalPhysics187(2003)110–136www.elsevier.com/locate/jcpAsecondordercoupledlevelsetandvolume-of-fluidmethodforcomputinggrowthandcollapseofvaporbubblesMarkSussman*FloridaStateUniversity,Tallahassee,FL32306,USAReceived29January2002;receivedinrevisedform10January2003;accepted6February2
2、003AbstractWepresentacoupledlevelset/volume-of-fluidmethodforcomputinggrowthandcollapseofvaporbubbles.Theliquidisassumedincompressibleandthevaporisassumedtohaveconstantpressureinspace.Secondorderalgorithmsareusedforfinding‘‘massconserving’’extensionvelocities,fordiscretizingthelocalinterfacialcurvat
3、ureandalsoforthediscretizationofthecell-centeredprojectionstep.Convergencestudiesaregiventhatdemonstratethissecondorderaccuracy.Examplesareprovidedthatapplytocavitatingbubbles.Ó2003ElsevierScienceB.V.Allrightsreserved.Keywords:Levelset;Volume-of-fluid;Bubbles;Cavitation1.IntroductionThispaperdescri
4、besanumericalmodelforgrowthandcollapseofvaporbubblesusingacoupledlevelsetandvolume-of-fluid(CLSVOF)method.Theapplicationswhichmotivatethisworkareshiphydro-dynamics,whereonewantstomeasuretheeffectsofanunderwaterexplosionnearaship[7,33],andthermalink-jetdeviceswhereavaporbubbleiscreatedwhichejectsink[
5、14].Previousworkinthisareafallintheclassofboundaryintegralmethods[7,36],levelsetmethods[9,16,28],volume-of-fluidmethods[11],markerparticlemethods[10],fronttrackingmethods[20],andfrontcapturingmethods[33].Eachoftheabovereferencedmethodshasadvantagesanddisadvantages.Boundaryintegralmethods[7,36]discr
6、etizeonlytheinterfaceseparatingliquidandvapor,makingthesemethodsveryefficient.Ontheotherhand,theboundaryintegralapproachassumesthatthesolutionisgovernedbypotentialflowineachfluid;therefore,boundaryintegralmethodsarelimitedinhowtheymodelviscosity.Also,sincetheboundaryintegralmethodisaLagrangianapproach
7、,everytimetheinterfacemergesorsplits,onemustimplementacomplicatedsurgeryinordertocontinuethecomputation[7,31].ThefollowingEulerianbased*Fax:1-850-644-7194.E-mailaddress:sussman@math.fsu.edu.0021-9991/03/$-seefron