Chapter

Turbulent flows

D. Violeau

in Fluid Mechanics and the SPH Method

Published in print May 2012 | ISBN: 9780199655526
Published online September 2012 | e-ISBN: 9780191741227 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199655526.003.0004
Turbulent flows

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Turbulence is here envisaged from a mechanical viewpoint, investigating the behaviour of non-linear dynamical systems in the phase space, from the considerations of Chapters 1 and 2 extended to spectral systems. The chapter then focuses on Reynolds-averaging methods, introducing Reynolds stresses and the Boussinesq eddy-viscosity assumption. Turbulent kinetic energy and the considerations from Kolmogorov are then established and discussed, leading to first closure models, such as the mixing length assumption and the k–ε model. It then discusses the weaknesses of the latter approaches and come to more sophisticated models, like second-order closure equations and explicit algebraic models. Finally, a few words are said about large eddy simulation (LES) and stochastic methods, referring to the end of Chapter 2. Boundary conditions are investigated from the very classical example of the steady infinite open-channel flow.

Keywords: turbulence; chaos; Reynolds-averaging; Kolmogorov analysis; eddy viscosity; Reynolds stresses

Chapter.  46103 words.  Illustrated.

Subjects: Condensed Matter Physics

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