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Anomalous and dimensional scaling in anisotropic turbulence

L. Biferale·I. Daumont·A. Lanotte·F. Toschi
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Abstract

We present a numerical study of anisotropic statistical fluctuations in homogeneous turbulent flows. We give an argument to predict the dimensional scaling exponents, (p+j)/3, for the projections of p-th order structure function in the j-th sector of the rotational group. We show that measured exponents are anomalous, showing a clear deviation from the dimensional prediction. Dimensional scaling is subleading and it is recovered only after a random reshuffling of all velocity phases, in the stationary ensemble. This supports the idea that anomalous scaling is the result of a genuine inertial evolution, independent of large-scale behavior.

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L. Biferale, I. Daumont, A. Lanotte, F. Toschi. 2002-03-08. Anomalous and dimensional scaling in anisotropic turbulence. https://doi.org/10.1103/physreve.66.056306

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