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The hydrodynamics of two-dimensional turbulence: Relation between self-similar spectral ranges and anomaly of third moments

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Abstract

Self-similar spectra of two-dimensional turbulence are discussed, as well as their correlation with the conservation laws and with the form of the function characterizing the energy transfer in the wave vector space. It is demonstrated how the form of this function affects the direction of fluxes of energy and enstrophy in the k space. The assumptions of the relationship of these fluxes with the time derivative of the correlation function (which are in fact similar to Kolmogorov’s hypotheses for three-dimensional turbulence) enable one to derive relations which demonstrate the anomalous behavior of the third moments of two-dimensional turbulence, observed in recent experiments.

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Authors and Affiliations

  1. Institute of High Temperatures, Russian Academy of Sciences, Moscow, 127412, Russia

    A. L. Tseskis

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__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 122, No. 1, 2002, pp. 49–56.

Original Russian Text Copyright © 2002 by Tseskis.

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Tseskis, A.L. The hydrodynamics of two-dimensional turbulence: Relation between self-similar spectral ranges and anomaly of third moments. J. Exp. Theor. Phys. 95, 42–47 (2002). https://doi.org/10.1134/1.1499899

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  • DOI: https://doi.org/10.1134/1.1499899

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