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Reduced-order models of fluid flows are essential for real-time control, prediction, and optimization of engineering systems that involve a working fluid. The sparse identification of nonlinear dynamics (SINDy) algorithm is being used to develop nonlinear models for complex fluid flows that balance accuracy and efficiency. We explore recent innovations related to several complex flow fields: bluff body wakes, cavity flows, thermal and electro convection, and magnetohydrodynamics. Citable link for this video: https://doi.org/10.52843/cassyni.9kd3zp Papers in order: 1. Original SINDy paper: https://www.pnas.org/content/113/15/3932 2. SINDy for PDEs: https://advances.sciencemag.org/conte... 3. SINDy + Autoencoders: https://www.pnas.org/content/116/45/2... 4. JC Loiseau's Galerkin Regression Paper: https://doi.org/10.1017/jfm.2017.823 ( arxiv: https://arxiv.org/abs/1611.03271 ) 5. Loiseau, Noack, SLB, SINDy on Lift and Drag: https://arxiv.org/abs/1706.03531 6. Loiseau thermosyphon paper: https://arxiv.org/abs/1911.07920 7. Guan, SLB, Novosselov, electroconvection: https://arxiv.org/abs/2009.11862 8. Kaptanoglu, Morgan, Hansen, SLB, spheromak plasma: https://journals.aps.org/pre/abstract... ( https://arxiv.org/pdf/2004.10389.pdf ) 9. Callaham, SLB, Loiseau, nonlinear correlations: https://arxiv.org/abs/2106.02409 10. Callaham, Rigas, Loiseau, SLB, Stochastic dynamics: https://royalsocietypublishing.org/do... 11. Callaham, Koch, B Brunton, Kutz, SLB, Dominant balance: https://www.nature.com/articles/s4146... @eigensteve on Twitter eigensteve.com databookuw.com This video was produced at the University of Washington %%% CHAPTERS %%% 0:00 Introduction 3:14 Interpretable and Generalizable Machine Learning 8:04 SINDy Overview 11:16 Discovering Partial Differential Equations 12:37 Deep Autoencoder Coordinates 13:42 Modeling Fluid Flows with Galerkin Regression 21:00 Chaotic thermo syphon 22:14 Chaotic electroconvection 25:52 Magnetohydrodynamics 27:40 Nonlinear correlations 29:47 Stochastic SINDy models for turbulence 32:54 Dominant balance physics modeling