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Stretching in a model of a turbulent flow

Lookup NU author(s): Dr Andrew Baggaley, Professor Carlo Barenghi, Professor Anvar Shukurov

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Abstract

Using a multi-scaled, chaotic flow known as the KS model of turbulence [J.C.H. Fung, J.C.R. Hunt, A. Malik, R.J. Perkins, Kinematic simulation of homogeneous turbulence by unsteady random fourier modes, J. Fluid Mech. 236 (1992) 281-318], we investigate the dependence of Lyapunov exponents on various characteristics of the flow. We show that the KS model yields a power law relation between the Reynolds number and the maximum Lyapunov exponent, which is similar to that for a turbulent flow with the same energy spectrum. Our results show that the Lyapunov exponents are sensitive to the advection of small eddies by large eddies, which can be explained by considering the Lagrangian correlation time of the smallest scales. We also relate the number of stagnation points within a flow to the maximum Lyapunov exponent, and suggest a linear dependence between the two characteristics. (C) 2008 Elsevier B.V. All rights reserved.


Publication metadata

Author(s): Baggaley AW, Barenghi CF, Shukurov A

Publication type: Article

Publication status: Published

Journal: Physica D: Nonlinear Phenomena

Year: 2009

Volume: 238

Issue: 4

Pages: 365-369

ISSN (print): 0167-2789

ISSN (electronic): 1872-8022

Publisher: Elsevier BV

URL: http://dx.doi.org/10.1016/j.physd.2008.10.013

DOI: 10.1016/j.physd.2008.10.013


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