An energy preserving formulation for the simulation of multiphase turbulent flows

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1、Anenergypreservingformulationforthesimulationofmultiphaseturbulentflows.AbstractInthismanuscriptweproposeanenergypreservingformulationforthesimulationofmultiphaseflows.Thenewformulationreducesthenumericaldiffusionwithrespecttopreviousformulationsdealingwithmultiplephases,whichma

2、kesthismethodtobeespeciallyappealingforturbulentflows.Inthisworkwediscusstheaccuracyandconservationpropertiesofthemethodinvariousscenarioswithlargedensityandviscosityjumpsacrosstheinterfaceincludingsurfacetensioneffects.1IntroductionNowadaysthesimulationofturbulentflowsistheobje

3、ctofintenseresearch.Althoughnumericaltechniquesandmodelshavebeenalreadywidelyinvesti-gatedintheliteratureforsinglephaseflows,currentstudiesarestillfarfromacompleteunderstandingofrealprocessesencounteredinacountlessnumberofapplicationsinvolvingmultiplephases,suchasrocketengines

4、injectors,dieselenginesorchemicalprocess.Whentwoormoredifferentphasesarepresentinthesystemwecandistinguishnotonlyarangeofcharacteristiclength-scalesrelatedtotheturbulentnatureoftheflow,butalsoarangeofsizesandshapesofeachofthephasespresentinthesystem.Thisfactsignificantlyincrease

5、sthecomplexityofthesimulationsrequiredtoinvestigatesuchtypeofproblems,whichrequireacontinuousdevelopmentandoptimizationofthenumericaltech-niquesandmodels.Thescientificcommunityhasmadeanimportanteffortdevelopingmodelsformultiphaseflowswhenoneofthephasescanbeconsid-eredasdisperse(

6、onlysomeexamplescanbefoundin[27,11,29]).However,theextensionandevaluationnumericalmodelstosituationswherethestruc-turesoftheinterfacesiswellcapturedislessprolific.Thedevelopmentofthesemethodsisimportantinordertoevaluatetheimportanceofturbulenceinpro-cesswhereanyofthemultipleph

7、asespresentonitcanbeconsideredasdisperse.Numericaltechniquesusedforthesimulationofturbulentflowsandmulti-phaseflowshavebeentraditionallydifferent.Ononehand,numericalschemestypicallyusedforthesimulationofturbulentflowsmustpayanespecialatten-tiontotheconservationofglobalpropertiess

8、uchasenergy.Becauseweusuallywanttosolveforproblemswherethesmallestsc