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Perspective on machine learning for advancing fluid mechanics
Phys. Rev. Fluids 4, 100501 – Published 16 October, 2019
DOI: https://doi.org/10.1103/PhysRevFluids.4.100501
Abstract
A perspective is presented on how machine learning (ML), with its burgeoning popularity and the increasing availability of portable implementations, might advance fluid mechanics. As with any numerical or experimental method, ML methods have strengths and limitations, which are acknowledged. Their potential impact is high so long as outcomes are held to the long-standing critical standards that should guide studies of flow physics.
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References (27)
- S. L. Brunton, B. R. Noack, and P. Koumoutsakos, Machine learning for fluid mechanics, Annu. Rev. Fluid Mech. 52, 1 (2020).
- C. W. Rowley and S. T. M. Dawson, Model reduction for flow analysis and control, Annu. Rev. Fluid Mech. 49, 387 (2017).
- A. E. Bryson and Y.-C. Ho, Applied Optimal Control, revised printing (New York, Hemisphere, 1975).
- A. G. Baydin, B. A. Pearlmutter, A. A. Radul, and J. M. Siskind, Automatic differentiation in machine learning: A survey, J. Mach. Learn. Res. 18, 1 (2018).
- M. Abadi, P. Barham, J. Chen, Z. Chen, A. Davis, J. Dean, M. Devin, S. Ghemawat, G. Irving, M. Isard, M. Kudlur, J. Levenberg, R. Monga, S. Moore, D. G. Murray, B. Steiner, P. Tucker, V. Vasudevan, P. Warden, M. Wicke, Y. Yu, and X. Zheng, Tensorflow: A system for large-scale machine learning, in Proceedings of the 12th USENIX Symposium on Operating Systems Design and Implementation (OSDI 16) (USENIX Association, Berkeley, CA, 2016), pp. 265–283, https://www.usenix.org/system/files/conference/osdi16/osdi16-abadi.pdf
- A. Paszke, S. Gross, S. Chintala, G. Chanan, E. Yang, Z. DeVito, Z. Lin, A. Desmaison, L. Antiga, and A. Lerer, Automatic differentiation in PyTorch, in Proceedings of the 31st Conference on Neural Information Processing Systems (NIPS), Long Beach, CA, Autodiff Workshop (2017).
- V. Gulshan, L. Peng, M. Coram, M. C. Stumpe, D. Wu, A. Narayanaswamy, S. Venugopalan, K. Widner, T. Madams, J. Cuadros, R. Kim, R. Raman, P. C. Nelson, J. L. Mega, and D. R. Webster, Development and validation of a deep learning algorithm for detection of diabetic retinopathy in retinal fundus photographs, JAMA 316, 2402 (2016).
- R. Poplin, A. V. Varadarajan, K. Blumer, Y. Liu, M. V. McConnell, G. S. Corrado, L. Peng, and D. R. Webster, Prediction of cardiovascular risk factors from retinal fundus photographs via deep learning, Nat. Biomed. Eng. 2, 158 (2018).
- Y. Wu, M. Schuster, Z. Chen, Q. V. Le, M. Norouzi, W. Macherey, M. Krikun, Y. Cao, Q. Gao, K. Macherey, J. Klingner, A. Shah, M. Johnson, X. Liu, L. Kaiser, S. Gouws, Y. Kato, T. Kudo, H. Kazawa, K. Stevens, G. Kurian, N. Patil, W. Wang, C. Young, J. Smith, J. Riesa, A. Rudnick, O. Vinyals, G. Corrado, M. Hughes, and J. Dean, Google's neural machine translation system: Bridging the gap between human and machine translation, arXiv:1609.08144 (2016).
- Y. He, T. N. Sainath, R. Prabhavalkar, I. McGraw, R. Alvarez, D. Zhao, D. Rybach, A. Kannan, Y. Wu, R. Pang, Q. Liang, D. Bhatia, Y. Shangguan, B. Li, G. Pundak, K. C. Sim, T. Bagby, S.-Y. Chang, K. Rao, and A. Gruenstein, Streaming end-to-end speech recognition for mobile devices, arXiv:1811.06621 (2018).
- Y. LeCun and Y. Bengio, Convolutional networks for images, speech, and time series, in Handbook of Brain Theory and Neural Networks, edited by M. A. Arbib (MIT Press, Cambridge, MA, 1995), pp. 3361–3368.
- S. Hochreiter and J. Schmidhuber, Long short-term memory, Neural Comput. 9, 1735 (1997).
- J. Ling, R. Jones, and J. Templeton, Machine learning strategies for systems with invariance properties, J. Comput. Phys. 318, 22 (2016).
- J.-X. Wang, J.-L. Wu, and H. Xiao, Physics-informed machine learning approach for reconstructing Reynolds stress modeling discrepancies based on DNS data, Phys. Rev. Fluids 2, 034603 (2017).
- J.-L. Wu, H. Xiao, and E. Paterson, Physics-informed machine learning approach for augmenting turbulence models: A comprehensive framework, Phys. Rev. Fluids 3, 074602 (2018).
- K. Duraisamy, G. Iaccarino, and H. Xiao, Turbulence modeling in the age of data, Annu. Rev. Fluid Mech. 51, 357 (2019).
- J. Ling and J. Templeton, Evaluation of machine learning algorithms for prediction of regions of high Reynolds averaged Navier stokes uncertainty, Phys. Fluids 27, 085103 (2015).
- Z. Y. Wan and T. P. Sapsis, Machine learning the kinematics of spherical particles in fluid flows, J. Fluid Mech. 857, R2-1 (2018).
- J. Jiménez, Machine-aided turbulence theory, J. Fluid Mech. 854, R1-1 (2018).
- S. Verma, G. Novati, and P. Koumoutsakos, Efficient collective swimming by harnessing vortices through deep reinforcement learning, Proc. Natl. Acad. Sci. USA 115, 5849 (2018).
- P. P. Popov, D. A. Buchta, M. J. Anderson, L. Massa, J. Capecelatro, D. J. Bodony, and J. B. Freund, Machine learning-assisted early ignition prediction in a complex flow, Combust. Flame 206, 451 (2019).
- Z. Wu, J. Lee, C. Meneveau, and T. Zaki, Application of a self-organizing map to identify the turbulent-boundary-layer interface in a transitional flow, Phys. Rev. Fluids 4, 023902 (2019).
- M. Raissi, Z. Wang, M. S. Triantafyllou, and G. E. Karniadakis, Deep learning of vortex-induced vibrations, J. Fluid Mech. 861, 119 (2019).
- W. Hou, D. Darakananda, and J. D. Eldredge, Machine-learning-based detection of aerodynamic disturbances using surface pressure measurements, AIAA J. (2019), doi: 10.2514/1.J058486.
- K. Fukami, K. Fukagata, and K. Taira, Super-resolution reconstruction of turbulent flows with machine learning, J. Fluid Mech. 870, 106 (2019).
- Z. Y. Wan, P. Vlachas, P. Koumoutsakos, and T. Sapsis, Data-assisted reduced-order modeling of extreme events in complex dynamical systems, PLoS ONE 13, e0197704 (2018).
- S. Bach, A. Binder, G. Montavon, F. Klauschen, K.-R. Müller, and W. Samek, On pixel-wise explanations for non-linear classifier decisions by layer-wise relevance propagation, PLoS ONE 10, e0130140 (2015).