Noncommuting filters and dynamic modelling for LES of turbulent compressible flow in 3D shear layers

B. Geurts, B. Vreman, H. Kuerten, R. van Buuren

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    Abstract

    Large-eddy simulation of complex turbulent flows involves the filtering and modelling of small scale flow structures whose intensity shows large spatial variations in the fl.ow domain. This suggests the use of filters with nonuniform filterwidth. Such filters fail to commute with spatial derivatives and give rise to additional 'noncommutation' terms in LES. We construct higher order filters and show that the subgrid terms and the new noncommutation terms are a priori of comparable magnitude. We apply these filters to DNS data of the temporal mixing layer. The magnitude of the noncommutation terms and their contribution to the kinetic energy dynamics is determined. Finally, we show that LES predictions significantly depend on the specific explicit filter used in dynamic subgrid modelling.
    Original languageEnglish
    Title of host publicationDirect and Large-Eddy Simulation II
    Subtitle of host publicationProceedings of the ERCOFTAC Workshop held in Grenoble, France, 16–19 September 1996
    EditorsJean-Pierre Chollet, Peter R. Voke, Leonhard Kleiser
    Place of PublicationDordrecht
    PublisherKluwer Academic Services
    Pages47-56
    Number of pages10
    ISBN (Electronic)978-94-011-5624-0
    ISBN (Print)978-94-010-6370-8
    DOIs
    Publication statusPublished - 1997
    Event2nd ERCOFTAC Workshop on Direct and Large-Eddy Simulation II 1996 - Grenoble, France
    Duration: 16 Sept 199619 Sept 1996
    Conference number: 2

    Publication series

    NameERCOFTAC Series
    PublisherSpringer
    Volume5
    ISSN (Print)1382-4309

    Conference

    Conference2nd ERCOFTAC Workshop on Direct and Large-Eddy Simulation II 1996
    Country/TerritoryFrance
    CityGrenoble
    Period16/09/9619/09/96

    Keywords

    • Large eddy simulation
    • Order filter
    • Direct numerical simulation data
    • High order filter
    • Complex turbulent flow

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