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arXiv · 2003.08159

Chaos and information in two dimensional turbulence

Daniel Clark·Lukas Tarra·Arjun Berera
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Abstract

By performing a large number of fully resolved simulations of incompressible homogeneous and isotropic two dimensional turbulence, we study the scaling behavior of the maximal Lyapunov exponent, the Kolmogorov-Sinai entropy and attractor dimension. The scaling of the maximal Lyapunov exponent is found to be in good agreement with the dimensional predictions. For the cases of the Kolmogorov-Sinai entropy and attractor dimension the simple dimensional predictions are found to be insufficient. A dependence on the system size and the forcing length scale is found, suggesting non-universal behavior. The applicability of these results to atmospheric predictability is also discussed.

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Daniel Clark, Lukas Tarra, Arjun Berera. 2020-03-18. Chaos and information in two dimensional turbulence. https://doi.org/10.1103/physrevfluids.5.064608

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