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@article{Callaham:2022:10.1126/sciadv.abm4786,
author = {Callaham, JL and Rigas, G and Loiseau, J-C and Brunton, SL},
doi = {10.1126/sciadv.abm4786},
journal = {Science Advances},
title = {An empirical mean-field model of symmetry-breaking in a turbulent wake},
url = {http://dx.doi.org/10.1126/sciadv.abm4786},
volume = {8},
year = {2022}
}

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TY  - JOUR
AB  - 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.
AU  - Callaham,JL
AU  - Rigas,G
AU  - Loiseau,J-C
AU  - Brunton,SL
DO  - 10.1126/sciadv.abm4786
PY  - 2022///
SN  - 2375-2548
TI  - An empirical mean-field model of symmetry-breaking in a turbulent wake
T2  - Science Advances
UR  - http://dx.doi.org/10.1126/sciadv.abm4786
UR  - https://www.ncbi.nlm.nih.gov/pubmed/35544559
UR  - http://hdl.handle.net/10044/1/97244
VL  - 8
ER  -

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