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Exact Coherent Structures in Turbulent Shear Flows

  • Conference paper
Turbulence and Interactions

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 105))

Abstract

Exact coherent structures are three-dimensional, nonlinear traveling wave solutions of the Navier-Stokes equations. These solutions are typically unstable from onset, yet they capture the basic statistical and structural features of low Reynolds number turbulent shear flows remarkably well. These exact coherent structures have now been found in all canonical shear flows: plane Couette, Poiseuille and pipe flow. They are generic for shear flows and exist for both no-slip and stress boundary conditions. Their discovery opens up new avenues for turbulence research and forces a fundamental rethinking of the true nature of turbulence.

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Author information

Authors and Affiliations

  1. Departments of Mathematics and Engineering Physics, University of Wisconsin, Madison, WI 53706, USA

    Fabian Waleffe

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  1. Fabian Waleffe
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Editor information

Editors and Affiliations

  1. EPFL STI IGM LIN, Station 9, 1015, Lausanne, Switzerland

    Michel Deville

  2. ONERA, 29 Avenue de la Division Leclerc, 92322, Chatillon, France

    Thien-Hiep Lê

  3. Institut Jean Le Rond d’Alembert, Université Pierre et Marie Curie, 4 Place Jussieu, 75252, Paris cedex 5, France

    Pierre Sagaut

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Waleffe, F. (2009). Exact Coherent Structures in Turbulent Shear Flows. In: Deville, M., Lê, TH., Sagaut, P. (eds) Turbulence and Interactions. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00262-5_7

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  • DOI: https://doi.org/10.1007/978-3-642-00262-5_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00261-8

  • Online ISBN: 978-3-642-00262-5

  • eBook Packages: EngineeringEngineering (R0)

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