Stochastic identities for random isotropic fields
A.S. Il'yn, A.V. Kopyev, V.A. Sirota, K.P. Zybin
TL;DR
This paper introduces new stochastic identities for isotropic tensor fields, serving as markers of statistical isotropy in turbulent flows, and confirms their validity through numerical simulations.
Contribution
It presents novel stochastic identities for isotropic tensor fields and validates them with numerical simulations of turbulent flows.
Findings
Identities serve as markers of statistical isotropy.
Validation through direct numerical simulations.
Applicability to turbulent flows of any nature.
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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Taxonomy
TopicsStochastic processes and financial applications · Stochastic processes and statistical mechanics · Distributed and Parallel Computing Systems