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1、HomeSearchCollectionsJournalsAboutContactusMyIOPscienceTheoryofturbulenceThisarticlehasbeendownloadedfromIOPscience.Pleasescrolldowntoseethefulltextarticle.1995Rep.Prog.Phys.581117(http://iopscience.iop.org/0034-4885/58/10/001)Viewthetableofcontentsforthisissue,orgotothejournalhomepageform
2、oreDownloaddetails:IPAddress:218.22.21.11Thearticlewasdownloadedon08/08/2010at02:24Pleasenotethattermsandconditionsapply.Rep.Prog.Phys.58(1995)1117-l206.PrintedintheUKTheoryofturbulenceWDMcCombDepartmentofPhysicsandAstronomy,UniversityofEdinburgh,MayficldRoad,EdinburghEH9312,UKAbstractThis
3、reviewisconcernedwithmodemtheoreticalapproachestoturbulence,inwhichtheproblemcanbeseenasabranchofstatisticalfieldtheory,andwherethetreatmenthasbeenstronglyinfluencedbyanalogieswiththequantummany-bodyproblem.Thedominantthemestreatedarethedevelopment(sincethe1950s)ofrenormalizedpertur-bation
4、theories(RPT)and,morerecently,ofrenormalizationgroup(RG)methods.Asfluiddynamicsisrarelypartofthephysicscurriculum,insection1weintroducesomebackgroundconceptsinfluiddynamics,followedbyaskeletontreatmentofthephenomenologyofturbulenceinsection2,takingflowthroughastraightpipeoraplanechannelasa
5、representativeexample.Insection3,thegeneralstatisticalformulationoftheproblemisgiven,leadingtoamomentclosureproblem,whichisanalogoustothewellknownBBGKYhierarchy,andtotheKolmogorov-5/3powerlaw,whichisaconsequenceofdimensionalanalysis.Insection4,weshowhowRPThavebeenusedtotacklethemomentclosu
6、reproblem,distinguishingbetweenthosewhicharecompat-iblewiththeKolmogorovspectrumandthosewhicharenot.Insection5,wediscusstheuseofRGtoreducethenumberofdegreesoffreedominthenumericalsimulationoftheturbulentequationsofmotion,whilegivingaclearstatementofthetechnicalproblemswhichlieinthewayofdoi
7、ngthis.Lastly,thetheoriesarediscussedinsection6,intermsoftheirabilitytomeetthestatedgoals,asassessedbynumericalcomputationandcomparisonwithexperiment.ThisreviewwasreceivedinNovember1994.M)343885/95/101117+89$59.5001995IOPPublishingLtd11171118IVDMcCornbContents