Regularization Modeling of Commutator-Errors in Large-Eddy Simulation of Wall-Bounded Turbulence

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    Abstract

    Commutator errors arise in large-eddy simulation of incompressible turbulent flow from the application of non-uniform filters to the continuity and Navier-Stokes equations. Control over the commutator errors compared to the turbulent stress fluxes can only be obtained by appropriately restricting the spatial variations of the filter-width and filter-skewness. 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 Leray regularization. The performance of this commutator error parameterization is illustrated for the one-dimensional Burgers equation. The Leray approach is found to capture the filtered flow with higher accuracy than conventional similarity modeling, which is particularly relevant for large filter-width variations.
    Original languageEnglish
    Title of host publicationProceedings of the V European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010
    EditorsJ.C.F Pereira, A. Sequeira, J.M.C. Pereira
    Place of PublicationLisbon
    PublisherTechnical University of Lisbon
    Number of pages12
    ISBN (Print)978-989-96778-1-4
    Publication statusPublished - 2010
    Event5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010 - Lisbon, Portugal
    Duration: 14 Jun 201017 Jun 2010
    Conference number: 5

    Conference

    Conference5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010
    Abbreviated titleECCOMAS ECFD 2010
    CountryPortugal
    CityLisbon
    Period14/06/1017/06/10

    Keywords

    • Heterogeneous turbulence
    • Non-uniform filtering
    • Large-eddy simulation
    • Regularization models
    • Commutator errors

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  • Cite this

    Geurts, B. J. (2010). Regularization Modeling of Commutator-Errors in Large-Eddy Simulation of Wall-Bounded Turbulence. In J. C. F. Pereira, A. Sequeira, & J. M. C. Pereira (Eds.), Proceedings of the V European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010 [01637] Lisbon: Technical University of Lisbon.