Data-Driven Fluid Mechanics

Miguel A. Mendez is Assistant Professor at the von Karman Institute for Fluid Dynamics, Belgium. He has extensively used data-driven methods for post-processing numerical and experimental data in fluid dynamics. He developed a novel multi-resolution extension of POD which has been extensively used in various flow configurations of industrial interest. His current interests include data-driven modeling and reinforcement learning. Andrea Ianiro is Associate Professor at Universidad Carlos III de Madrid, Spain. He is a well-known expert in the field of experimental thermo-fluids. He has pioneered the use of data-driven modal analysis in heat transfer studies for impinging jets and wall-bounded flows with heat transfer. He extensively applies these techniques in combination with advanced measurement techniques such as 3D PIV and IR thermography. Bernd R. Noack is National Talent Professor at the Harbin Institute of Technology, China. He has pioneered the automated learning of control laws and reduced-order models for real-world experiments as well as nonlinear model-based control from first principles. He is Fellow of the American Physical Society and Mendeley/Web-of-Science Highly Cited Researcher with about 300 publications including 5 books, 2 US patents and over 100 journal publications. Steven L. Brunton is Professor at the University of Washington, USA. He has pioneered the use of machine learning to fluid mechanics in areas ranging from system identification to flow control. He has an international reputation for his excellent teaching and communication skills, which have contributed to the dissemination of his research through textbooks and online lectures.

• Part I. Motivation: 1. Analysis, modeling and control of the cylinder wake B. R. Noack, A. Ehlert, C. N. Nayeri and M. Morzynski; 2. Coherent structures in turbulence: a data science perspective J. Jiménez; 3. Machine learning in fluids: pairing methods with problems S. Brunton; Part II. Methods from Signal Processing: 4. Continuous and discrete LTI systems M. A. Mendez; 5. Time-frequency analysis and wavelets S. Discetti; Part III. Data-Driven Decompositions: 6. The proper orthogonal decomposition S. Dawson; 7. The dynamic mode decomposition: from Koopman theory to applications P. J. Schmid; 8. Generalized and multiscale modal analysis M. A. Mendez; 9. Good practice and applications of data-driven modal analysis A. Ianiro; Part IV. Dynamical Systems: 10. Linear dynamical systems and control S. Dawson; 11. Nonlinear dynamical systems S. Brunton; 12. Methods for system identification S. Brunton; 13. Modern tools for the stability analysis of fluid flows P. J. Schmid; Part V. Applications: 14. Machine learning for reduced-order modeling B. R. Noack, D. Fernex and R. Semaan; 15. Advancing reacting flow simulations with data-driven models K. Zdybal, G. D'Alessio, G. Aversano, M. R. Malik, A. Coussement, J. C. Sutherland and A. Parente; 16. Reduced-order modeling for aerodynamic applications and multidisciplinary design optimization S. Görtz, P. Bekemeyer, M. Abu-Zurayk, T. Franz and M. Ripepi; 17. Machine learning for turbulence control B. R. Noack, G. Y. Cornejo Maceda, F. Lusseyran; 18. Deep reinforcement learning applied to active flow control J. Rabault and A. Kuhnle; Part VI. Perspectives: 19. The Computer as scientist J. Jiménez; References.