Рет қаралды 35,908
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: doi.org/10.52843/cassyni.9kd3zp
Papers in order:
1. Original SINDy paper: www.pnas.org/content/113/15/3932
2. SINDy for PDEs: advances.sciencemag.org/conte...
3. SINDy + Autoencoders: www.pnas.org/content/116/45/2...
4. JC Loiseau's Galerkin Regression Paper: doi.org/10.1017/jfm.2017.823 ( arxiv: arxiv.org/abs/1611.03271 )
5. Loiseau, Noack, SLB, SINDy on Lift and Drag: arxiv.org/abs/1706.03531
6. Loiseau thermosyphon paper: arxiv.org/abs/1911.07920
7. Guan, SLB, Novosselov, electroconvection: arxiv.org/abs/2009.11862
8. Kaptanoglu, Morgan, Hansen, SLB, spheromak plasma: journals.aps.org/pre/abstract... ( arxiv.org/pdf/2004.10389.pdf )
9. Callaham, SLB, Loiseau, nonlinear correlations: arxiv.org/abs/2106.02409
10. Callaham, Rigas, Loiseau, SLB, Stochastic dynamics: royalsocietypublishing.org/do...
11. Callaham, Koch, B Brunton, Kutz, SLB, Dominant balance: www.nature.com/articles/s4146...
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This video was produced at the University of Washington
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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