Non Asymptotic Properties of Transport and Mixing

Details Non Asymptotic Properties of Transport and Mixing Non Asymptotic Properties of Transport and Mixing

1999-04-29

arxiv.org/abs/chao-dyn/9904049v1

Chaos 10 (2000) 50

Nonlinear Sciences

Chaotic Dynamics

19 RevTeX pages + 8 figures included, submitted on Chaos special issue on Transport and Mixing

Scientific paper

10.1063/1.166475

We study relative dispersion of passive scalar in non-ideal cases, i.e. in situations in which asymptotic techniques cannot be applied; typically when the characteristic length scale of the Eulerian velocity field is not much smaller than the domain size. Of course, in such a situation usual asymptotic quantities (the diffusion coefficients) do not give any relevant information about the transport mechanisms. On the other hand, we shall show that the Finite Size Lyapunov Exponent, originally introduced for the predictability problem, appears to be rather powerful in approaching the non-asymptotic transport properties. This technique is applied in a series of numerical experiments in simple flows with chaotic behaviors, in experimental data analysis of drifter and to study relative dispersion in fully developed turbulence.

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