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Statistical Methods in Turbulence

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Theoretical Approaches to Turbulence

Part of the book series: Applied Mathematical Sciences ((AMS,volume 58))

Abstract

Statistical methods in turbulence can be traced back to the ideas of the beginning of this century in statistical mechanics. Can they nevertheless cope with 1984 modern physics, as is sometimes asked? We shall try to show that indeed they can. One of the main dilemma of turbulence research today is to try to encompass in a unique formalism both the chaotic aspect of turbulence, conspicuous in a temporal display of any physical variable (temperature in the atmosphere, velocity measured in a wind tunnel, magnetic field fluctuations observed in the solar wind are but a few examples) and the persistence of large scale coherent structures. Is it possible that an appropriate interplay of exact solutions of the inviscid hydrodynamical equations, such as point vortices, can lead the way to a deep understanding of turbulence in the presence of small but non-zero viscosity?

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  1. A. Pouquet
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Editors and Affiliations

  1. NASA Langley Research Center, ICASE, Hampton, Virginia, 23665, USA

    D. L. Dwoyer , M. Y. Hussaini  & R. G. Voigt ,  & 

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Pouquet, A. (1985). Statistical Methods in Turbulence. In: Dwoyer, D.L., Hussaini, M.Y., Voigt, R.G. (eds) Theoretical Approaches to Turbulence. Applied Mathematical Sciences, vol 58. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1092-4_9

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  • DOI: https://doi.org/10.1007/978-1-4612-1092-4_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-96191-0

  • Online ISBN: 978-1-4612-1092-4

  • eBook Packages: Springer Book Archive

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