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arXiv · 2409.04131

Stochastic identities for random isotropic fields

A. S. Il'yn·A. V. Kopyev·V. A. Sirota·K. P. Zybin
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Abstract

This letter presents new nontrivial stochastic identities for random isotropic second rank tensor fields. They can be considered as markers of statistical isotropy in turbulent flows of any nature. The case of axial symmetry is also considered. We confirm the validity of the identities using different direct numerical simulations of turbulent flows.

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A. S. Il'yn, A. V. Kopyev, V. A. Sirota, K. P. Zybin. 2024-09-06. Stochastic identities for random isotropic fields. https://doi.org/10.1103/physrevfluids.10.l022602

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