The filtering analog of the variational multiscale method in large-eddy simulation

A.W. Vreman

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    73 Citations (Scopus)
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    Abstract

    The variational multiscale method introduced by Hughes et al. [Comput. Visual. Sci. 3, 47 (2000)] is extended to the classic filtering approach in large-eddy simulation. The role of the Germano identity in the formulation is precisely indicated. Multiscale methods based on standard eddy-viscosity models are related to (anisotropic) hyperviscosity models under certain conditions. Several models are tested and found to be as accurate as the standard dynamic model, while the implementations are more simple. Finally, the turbulent stress tensor is reformulated, such that filter and derivative in the filtered equations can be treated as a single operator.
    Original languageEnglish
    Pages (from-to)L61-L64
    JournalPhysics of fluids
    Volume15
    Issue number8
    DOIs
    Publication statusPublished - 2003

    Keywords

    • Large eddy simulation
    • Variational multi-scale method

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