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Large-Eddy Simulations of Three-Dimensional Turbulent Flows: Geophysical Applications

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Book cover Ocean Modeling and Parameterization

Part of the book series: NATO Science Series ((ASIC,volume 516))

Abstract

Direct-numerical simulation of turbulence (DNS) consists of solving explicitly all the scales of motion, from the largest l I to the Kolmogorov dissipative scale l D . It is well known from the statistical theory of turbulence that l I /l D scales like \( R_l^{3/4}\), where R l is the large-scale Reynolds number u’l I / v based upon the rms velocity fluctuation u’. Therefore, the total number of degrees of freedom necessary to represent the whole span of scales of a three-dimensional turbulent flow is of the order of \( R_l^{9/4}\) in three dimensions. With the presently available computers, the DNS is then limited to Reynolds numbers which are several orders of magnitude smaller than those encountered in the ocean, the atmosphere, or most of the industrial facilities. In order to increase the Reynolds number in the simulations, it is necessary to introduce a subgrid-scale model representing the action of scales smaller than Δx, the computational mesh, upon the explicitly resolved scales. This is the basis of the Large-Eddy Simulation (LES) techniques.

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Author information

Authors and Affiliations

  1. Centre National de la Recherche Scientifique, Laboratoire des Écoulements Géophysiques et Industriels, Grenoble, France

    Olivier Métais

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  1. Olivier Métais
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Editors and Affiliations

  1. Department of Meteorology and Physical Oceanography, Rosenstiel School of Marine and Atmospheric Science, University of Miami, Miami, FL, USA

    Eric P. Chassignet

  2. Centre National de la Recherche Scientifique, Laboratoire des Écoulements Géophysiques et Industriels, Grenoble, France

    Jacques Verron

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© 1998 Springer Science+Business Media Dordrecht

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Métais, O. (1998). Large-Eddy Simulations of Three-Dimensional Turbulent Flows: Geophysical Applications. In: Chassignet, E.P., Verron, J. (eds) Ocean Modeling and Parameterization. NATO Science Series, vol 516. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5096-5_15

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  • DOI: https://doi.org/10.1007/978-94-011-5096-5_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5229-7

  • Online ISBN: 978-94-011-5096-5

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