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Modelling of the interaction of small and large eddies in two dimensional turbulent flows. (English) Zbl 0663.76054

Our aim in this article is to present some results concerning the modeling of the interaction of small and large eddies in two-dimensional turublent flows. We show that the amplitude of small structures decays exponentially to a small value and we infer form this a simplified interaction law of small and large eddies. Beside their intrinsic interest for the understanding of the physics of turbulence, these results lead to new numerical schemes which will be studied in a separate work.

MSC:

76F99 Turbulence
35Q99 Partial differential equations of mathematical physics and other areas of application
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References:

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