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Homogenization and visco-elasticity of turbulence

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Macroscopic Modelling of Turbulent Flows

Part of the book series: Lecture Notes in Physics ((LNP,volume 230))

Abstract

A multiple-scale analysis (homogenization) is applied to study the stability of steady cellular solutions of the one-dimensional Kuramoto-Sivashinsky equation with 2π-periodic boundary conditions. It is found that these solutions exhibit visco-elastic behaviour under very large wavelength perturbations. This elasticity property is then extended to Navier-Stokes turbulence. It is suggested that two-dimensional flame fronts and various turbulent flows (e.g. solar granulation and cloud streets) may display elasticity. Inclusion of elasticity into engineering turbulence modelling is also discussed.

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Author information

Authors and Affiliations

  1. Observatoire de Meudon, 92195, Meudon Principal Cedex, France

    Z. S. She

  2. C.N.R.S. Observatoire de Nice, B.P. 139, 06003, Nice Cedex, France

    U. Frisch

  3. C.N.R.M., 42, avenue Coriolis, 31057, Toulouse Cedex, France

    O. Thual

Authors
  1. Z. S. She
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  2. U. Frisch
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  3. O. Thual
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Editor information

Uriel Frisch Joseph B. Keller George C. Papanicolaou Olivier Pironneau

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© 1985 Springer-Verlag

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She, Z.S., Frisch, U., Thual, O. (1985). Homogenization and visco-elasticity of turbulence. In: Frisch, U., Keller, J.B., Papanicolaou, G.C., Pironneau, O. (eds) Macroscopic Modelling of Turbulent Flows. Lecture Notes in Physics, vol 230. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15644-5_1

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  • DOI: https://doi.org/10.1007/3-540-15644-5_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15644-4

  • Online ISBN: 978-3-540-39520-1

  • eBook Packages: Springer Book Archive

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