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Article Dans Une Revue Science Advances Année : 2022

An empirical mean-field model of symmetry-breaking in a turbulent wake

Résumé

Improved turbulence modeling remains a major open problem in mathematical physics. Turbulence is notoriously challenging, in part due to its multiscale nature and the fact that large-scale coherent structures cannot be disentangled from small-scale fluctuations. This closure problem is emblematic of a greater challenge in complex systems, where coarse-graining and statistical mechanics descriptions break down. This work demonstrates an alternative data-driven modeling approach to learn nonlinear models of the coherent structures, approximating turbulent fluctuations as state-dependent stochastic forcing. We demonstrate this approach on a high–Reynolds number turbulent wake experiment, showing that our model reproduces empirical power spectra and probability distributions. The model is interpretable, providing insights into the physical mechanisms underlying the symmetry-breaking behavior in the wake. This work suggests a path toward low-dimensional models of globally unstable turbulent flows from experimental measurements, with broad implications for other multiscale systems.
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Dates et versions

hal-03888101 , version 1 (07-12-2022)

Identifiants

Citer

Jared L. Callaham, Georgios Rigas, Jean-Christophe Loiseau, Steven L. Brunton. An empirical mean-field model of symmetry-breaking in a turbulent wake. Science Advances , 2022, 8 (19), pp.eabm4786. ⟨10.1126/sciadv.abm4786⟩. ⟨hal-03888101⟩
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