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The illusion of a Kolmogorov cascade

Abstract : The theory of Kolmogorov, enunciated for very large Reynolds numbers, has progressively been shown to be inoperative for characterizing flows of practical relevance. Yet, in a recent study by Alves Portela et al. (2020), the turbulence statistics in the very near wake of a square prism at modest Reynolds numbers, reveal a significant portion of scales complying with a cascade of Kolmogorov-type. By resorting to a generalized version of the Kármán-Howarth-Kolmogorov equation, this intriguing observation is shown to be an illusion, hiding a measurable influence of coherent structures and statistical inhomogeneity. This striking conclusion highlights that a complete statistical theory of turbulence cannot dispense with the influence of large scales, possibly coherent, motions.
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Contributor : Fabien Thiesset <>
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F. Thiesset, L. Danaila. The illusion of a Kolmogorov cascade. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2020, 902, pp.F1. ⟨10.1017/jfm.2020.594⟩. ⟨hal-02929162⟩

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