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基于间断有限元方法的可压缩混合层中大尺度结构和压缩性效应的数值模拟研究(英文) Title:NumericalSimulationofLarge-ScaleStructuresandCompressibilityEffectsinCompressibleMixedLayerUsingDiscontinuousGalerkinMethod Abstract: Thecompressiblemixedlayerpresentsachallengingprobleminnumericalsimulationsduetothepresenceoflarge-scalestructuresandcompressibilityeffects.Inthisstudy,weproposetheuseofthediscontinuousGalerkinmethodinanumericalsimulationtoinvestigatethebehavioroflarge-scalestructuresandcompressibilityeffectsinacompressiblemixedlayer. Introduction: Thecompressiblemixedlayeroftenoccursinvariousengineeringapplications,suchascombustionprocessesandaerodynamics.Understandingthebehaviorandeffectsoflarge-scalestructuresandcompressibilityinthislayeriscrucialfordesignoptimizationandperformanceevaluation.However,duetothecomplexnatureoftheproblem,numericalmodelingandsimulationarerequiredtoprovideinsightsintoitsbehaviorandproperties. Methodology: ThediscontinuousGalerkin(DG)methodisapowerfulnumericalschemeforsolvingpartialdifferentialequationsinadiscontinuousdomain.Ithasgainedpopularityinrecentyearsduetoitsabilitytoaccuratelycapturediscontinuitiesandhandlecomplexgeometries.Inthisstudy,weadopttheDGmethodtosolvethecompressibleNavier-Stokesequationsinthecompressiblemixedlayer.Themethodallowsustoaccountforboththelarge-scalestructuresandthecompressibilityeffects. ResultsandDiscussion: ThenumericalsimulationsusingtheDGmethodprovidevaluableinsightsintothebehavioroflarge-scalestructuresandcompressibilityeffectsinthecompressiblemixedlayer.TheresultsdemonstratetheabilityoftheDGmethodtoaccuratelycapturethediscontinuitiesandaccuratelysimulatethecomplexflowpatterns.Thesimulationsrevealtheformationoflarge-scalestructuressuchasshockwavesandvorticesinthemixedlayer,andtheeffectsofcompressibilityonthesestructures.Thecompressibilityeffectsarefoundtosignificantlyimpacttheformationandbehaviorofthelarge-scalestructures. Conclusion: Inthisstudy,wehaveinvestigatedthebehavioroflarge-scalestructuresandcompressibilityeffectsinacompressiblemixedl