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The Variational Multiscale Formulation of LES with Application to Turbulent Channel Flows

In: Geometry, Mechanics, and Dynamics

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  • Thomas J. R. Hughes
  • Assad A. Oberai

Abstract

We begin by recalling old times when the senior author and Jerry Marsden collaborated on research in mechanics in the 1970’s. We note that both our recent interests have been focused on turbulence, although with different approaches. The common theme is reliance on variational structure. We then get down to business and describe our approach—the variational multiscale formulation of LES. Application is made to turbulent two-dimensional equilibrium and three-dimensional non-equilibrium channel flows. Simple, constant-coefficient Smagorinsky-type eddy viscosities, without wall damping functions, are used to model the transfer of energy from small resolved scales to unresolved scales, an approach which is not viable within the traditional LES framework. Nevertheless, very good results are obtained.

Suggested Citation

  • Thomas J. R. Hughes & Assad A. Oberai, 2002. "The Variational Multiscale Formulation of LES with Application to Turbulent Channel Flows," Springer Books, in: Paul Newton & Philip Holmes & Alan Weinstein (ed.), Geometry, Mechanics, and Dynamics, chapter 7, pages 223-239, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-21791-8_7
    DOI: 10.1007/0-387-21791-6_7
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