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arXiv · 2204.12912

One-dimensional model of freely decaying two-dimensional turbulence

Leonardo Campanelli
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Abstract

We construct a discrete shell-model for two-dimensional turbulence that takes into account local and nonlocal interactions between velocity modes in Fourier space. In real space, its continuous limit is described by the one-dimensional Burgers equation. We find a novel approximate scaling solution of such an equation and show that it well describes the main characteristics of the energy spectrum in fully developed, freely decaying two-dimensional turbulence.

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Leonardo Campanelli. 2022-04-26. One-dimensional model of freely decaying two-dimensional turbulence. https://doi.org/10.1007/s40042-022-00437-7

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