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Abstract

It was only a matter of time before deep neural networks (DNNs) – deep learning – made their mark in turbulence modelling, or more broadly, in the general area of high-dimensional, complex dynamical systems. In the last decade, DNNs have become a dominant data mining tool for big data applications. Although neural networks have been applied previously to complex fluid flows, the article featured here (Ling et al., J. Fluid Mech., vol. 807, 2016, pp. 155–166) is the first to apply a true DNN architecture, specifically to Reynolds averaged Navier Stokes turbulence models. As one often expects with modern DNNs, performance gains are achieved over competing state-of-the-art methods, suggesting that DNNs may play a critically enabling role in the future of modelling complex flows.

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      Deep learning in fluid dynamics
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Copyright
Corresponding author
Email address for correspondence: kutz@uw.edu
Linked references
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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

P. Benner , S. Gugercin  & K. Willcox 2015 A survey of projection-based model reduction methods for parametric dynamical systems. SIAM Rev. 57, 483531.

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D. H. Hubel  & T. N. Wiesel 1962 Receptive fields, binocular interaction and functional architecture in the cat’s visual cortex. J. Physiol. 160, 106154.

J. N. Kutz , S. Brunton , B. Brunton  & J. Proctor 2016 Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems. SIAM.

Y. LeCun , Y. Bengio  & G. Hinton 2015 Deep learning. Nature 521 (7553), 436444.

J. Ling , A. Kurzawski  & J. Templeton 2016 Reynolds averaged turbulence modelling using deep neural networks with embedded invariance. J. Fluid Mech 807, 155166.

X. Wu , V. Kumar , J. Quinlan , J. Ghosh , Q. Yang , H. Motoda , G. McLachlan , A. Ng , B. Liu , S. Philip  & Z. Zhou 2008 Top 10 algorithms in data mining. Know. inf. sys. 14 (1), 137.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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