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A Nonlinear Interactions Approximation Model for LES

  • Conference paper
Direct and Large-Eddy Simulation V

Part of the book series: ERCOFTAC Series ((ERCO,volume 9))

Abstract

A new approach to LES modelling based on direct approximation of the nonlinear terms in the filtered Navier-Stokes equations is presented. The proposed Nonlinear Interactions Approximation (NIA) model uses graded filters and de-convolution to parameterize the local interactions across the LES cutoff and an eddy viscosity term to parameterize the distant interactions. A dynamic procedure is used to determine the unknown eddy viscosity coefficient, rendering the model free of adjustable parameters. The proposed NIA model has been applied to LES of turbulent channel flow at Re τ ≈ 210 and Re τ ≈ 570. The results show that NIA significantly improves the prediction of turbulent flows compared to standard existing models such as the dynamic Smagorinsky or the dynamic mixed models.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, 48109-2125, USA

    M. U. Haliloglu & R. Akhavan

Authors
  1. M. U. Haliloglu
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  2. R. Akhavan
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Editor information

Editors and Affiliations

  1. Technische Universität München, München, Germany

    Rainer Friedrich

  2. University of Twente, Enschede, The Netherlands

    Bernard J. Geurts

  3. ENSHMG/INPG, St Martin d’Hères, France

    Olivier Métais

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© 2004 Springer Science+Business Media Dordrecht

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Haliloglu, M.U., Akhavan, R. (2004). A Nonlinear Interactions Approximation Model for LES. In: Friedrich, R., Geurts, B.J., Métais, O. (eds) Direct and Large-Eddy Simulation V. ERCOFTAC Series, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2313-2_5

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  • DOI: https://doi.org/10.1007/978-1-4020-2313-2_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6575-9

  • Online ISBN: 978-1-4020-2313-2

  • eBook Packages: Springer Book Archive

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