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Universality of Probability Distributions Among Two-Dimensional Turbulent Flows

Norbert Schorghofer
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Abstract

We study statistical properties of two-dimensional turbulent flows. Three systems are considered: the Navier-Stokes equation, surface quasi-geostrophic flow, and a model equation for thermal convection in the Earth's mantle. Direct numerical simulations are used to determine 1-point fluctuation properties. Comparative study shows universality of probability density functions (PDFs) across different types of flow. Especially for the derivatives of the ``advected'' quantity, the shapes of the PDFs are the same for the three flows, once normalized by the average size of fluctuations. Theoretical models for the shape of PDFs are briefly discussed.

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Norbert Schorghofer. 1999-07-09. Universality of Probability Distributions Among Two-Dimensional Turbulent Flows. https://doi.org/10.1103/physreve.61.6568

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