Nonlinear Regularization for Large-Eddy Simulation

Bernard J. Geurts, Darryl D. Holm

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review


    We review the spatial filtering approach to large-eddy simulation and describe the intuitive dissipation and similarity requirements, commonly imposed on models for the turbulent stress. Then we present direct regularization of the nonlinear convective flux which provides a systematic framework for deriving the implied subgrid model. This approach allows one to incorporate several rigorous mathematical properties of solutions to the Navier-Stokes system into the modeled large-eddy formulation. Regularization maintains the central transport structure of the governing equations. We illustrate the approach with Leray regularization and the Lagrangian averaged Navier-Stokes-α model. The new subgrid models are applied to turbulent mixing. These models display a strongly improved accuracy of predictions compared to dynamic subgrid models, as well as robustness at high Reynolds number.
    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


    • Regularization
    • Turbulence
    • Large-Eddy simulation
    • Kelvin theorem

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