Comparison of High Order Schemes for Large Eddy

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1、47thAIAAAerospaceSciencesMeetingIncludingTheNewHorizonsForumandAerospaceExpositionAIAA2009-9455-8January2009,Orlando,FloridaComparisonofHighOrderSchemesforLargeEddySimulationofCircularCylinderFlowYiqingShen¤,GechengZhayDept.ofMechanicalandAerospaceEngineeringMiamiWindTMUniversityofMiamiCo

2、ralGables,Florida33124E-mail:yqshen@miami.edu,gzha@miami.eduAbstractThispapercomparesLESresultsofacylinder°owwithtwosetsofnumericalschemes,twospanlengths,andacoarseandre¯nedmesh.Onesetofthenumericalschemeisthe7thorderWENOschemefortheinviscid°uxesand6thordercentraldi®erencingfortheviscoust

3、erms(7-6),theothersetisa5thorderWENOschemewitha4thordercentraldi®erencing(5-4).Forthispurpose,afullyconservative6th-ordercentraldi®erencingfortheviscoustermsofcompressible°owsisdeveloped.Thenewcentraldi®erencingschemeusesthesamestenciloftheWENOscheme.Noexplicitsubgridscalemodelsareusedfor

4、theLES.Thespanlengthhasasigni¯cante®ectonthesolution.The5-4schemeagreesbetterwiththeexperimentwiththespanlengthof1Dandcoarsemesh,whereasthe7-6schemeperformsbetteratthere¯nedmeshwiththespanlengthof¼D.However,bothschemeshavepoorerresultswiththespanlengthof¼D.1IntroductionLargeeddysimulation

5、(LES)hasbeenregardedasaviableengineeringtoolwithrapidlyenhancedcomputerarchitectureandmathematicalmodeling[1].Thepresenceofvariousregimesinthe°owoveracylindermakesthecomputationofthis°owaninterestingandchallengingtask[2].Duringthepastdecade,manylargeeddysimulations(LES)havebeenperformedfo

6、rsubcriticalReynoldsnumbers,especiallyatReD=3900,mainlyduetotheavailabilityoftheexperimentalresultsofLourencoandShih[3]andOngandWallace[4].This°owhasalsobeenusedasabenchmarkcasetoexaminetheoreticalissuespertainingtotheapplicationofLESingeneralizedcurvilinearcoordinatesystems[5].Thereisage

7、neralconsensusthatlow-orderupwindschemesarenotabletopredictcorrectlythebasesuctioncoe±cient,separationanglesandthesizeandstructureoftherecirculationzonebehindthecylinder.Thetwodominantsubgrid-scale(SGS)modelsforLESareSmagoriskyanddynamicsubgrid-scalestressmodels.Bor