Stretching in a model of a turbulent flow

Details Stretching in a model of a turbulent flow Stretching in a model of a turbulent flow

2008-01-28

arxiv.org/abs/0801.4266v2

Physics

Fluid Dynamics

7 pages, 10 figures

Scientific paper

10.1016/j.physd.2008.10.013

Using a multi-scaled, chaotic flow known as the KS model of turbulence, 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.

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