Commutator-errors in large-eddy simulation of turbulent flow

Bernardus J. Geurts, F. van der Bos, Darryl D. Holm

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    Commutator-errors in large-eddy simulation of incompressible turbulent flow arise from the application of non-uniform filters to the continuity -- and Navier-Stokes equations. For non-uniform, high-order filters the order of magnitude of the commutator-errors is shown to be the same as that of the turbulent stress fluxes. Consequently, one can not reduce the size of the commutator-errors independently of the turbulent stress terms by some judicious construction of the filter operator. For situations in which the dynamical consequences of the commutator-errors are significant, e.g., near solid boundaries, explicit similarity modeling for the commutator-errors is proposed, including the application of Leray regularization. The performance of this commutator-error parameterization is illustrated for the one-dimensional Burgers equation. The Leray approach captures the filtered flow with higher accuracy than conventional similarity modeling, especially for large filter-width variations.
    Original languageUndefined
    Title of host publicationMechanics of the 21st Century, Proceedings of the 21st International Congress of Theoretical and Applied Mechanics
    EditorsWitold Gutkowski, Tomasz A. Kowalewski
    Place of PublicationBerlin
    ISBN (Print)9781402035593
    Publication statusPublished - 15 Aug 2005
    EventXXI International Congress of Theoretical and Applied Mechanics, ICTAM 2004 - Warsaw, Poland
    Duration: 15 Aug 200421 Aug 2004
    Conference number: 21

    Publication series



    ConferenceXXI International Congress of Theoretical and Applied Mechanics, ICTAM 2004
    Abbreviated titleICTAM


    • IR-101658
    • METIS-226424

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