Dynamics of Commutator-Errors in LES with Non-Uniform Filter-Width

Fedderik van der Bos, Bernard J. Geurts

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    In large-eddy simulation only the large scales in a turbulent flow are calculated explicitly and the small scales are effectively removed by the application of a filter with filter-width ∆. For LES of flows in complex geometries it is generally assumed that a non-uniform filter-width ∆(x) is advantageous. Application of non-uniform filters introduces additional sub-grid scale terms, referred to as commutator-errors. The commutator-error corresponds to filter-width variations along a flow-path and expresses differences in the local capturing of small scale flow-features. Therefore, a high correlation is expected between the specific filter-width non-uniformities and the production/dissipation of kinetic energy. This is confirmed by novel a priori analysis of turbulent mixing. In particular, commutator-errors arising from symmetric or non-symmetric filters are shown to differ considerably in dynamic implications.
    Original languageEnglish
    Title of host publicationDirect and Large-Eddy Simulation V
    Subtitle of host publicationProceedings of the fifth international ERCOFTAC Workshop on Direct and Large-Eddy Simulation held at the Munich University of Technology, August 27–29, 2003
    EditorsRainer Friedrich, Bernard J. Geurts, Olivier Métais
    Place of PublicationDordrecht
    PublisherKluwer Academic Publishers
    ISBN (Electronic)978-1-4020-2313-2
    ISBN (Print)978-90-481-6575-9
    Publication statusPublished - 27 Aug 2004
    Event5th ERCOFTAC Workshop on Direct and Large-Eddy Simulation V, DLES 2003 - Munich University of Technology, Munich, Germany
    Duration: 27 Aug 200329 Aug 2003
    Conference number: 5

    Publication series

    NameERCOFTAC series
    PublisherKluwer Academic
    ISSN (Print)1382-4309


    Conference5th ERCOFTAC Workshop on Direct and Large-Eddy Simulation V, DLES 2003
    Abbreviated titleDLES


    • Turbulence
    • Large-Eddy simulation
    • Non-uniform filters
    • Commutator-error


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