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Turbulence, Coherent Structures, Dynamical Systems and Symmetry
Abstract
Turbulence pervades our world, from weather patterns to the air entering our lungs. This book describes methods that reveal its structures and dynamics. Building on the existence of coherent structures – recurrent patterns – in turbulent flows, it describes mathematical methods that reduce the governing (Navier–Stokes) equations to simpler forms that can be understood more easily. This second edition contains a new chapter on the balanced proper orthogonal decomposition: a method derived from control theory that is especially useful for flows equipped with sensors and actuators. It also reviews relevant work carried out since 1995. The book is ideal for engineering, physical science and mathematics researchers working in fluid dynamics and other areas in which coherent patterns emerge.
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Citations
Cited by
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Brunton, S. L., Proctor, J. L., & Kutz, J. N. (2016) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1517384113 · Cited by 4,796
Digital twin: values, challenges and enablers from a modeling perspective
Rasheed, A., San, O., & Kvamsdal, T. (2020) · IEEE Access · doi:10.1109/access.2020.2970143 · Cited by 1,952
Data-driven discovery of partial differential equations
Rudy, S. H., Brunton, S. L., Proctor, J. L., & Kutz, J. N. (2017) · Science Advances · doi:10.1126/sciadv.1602614 · Cited by 1,557
On dynamic mode decomposition: Theory and applications
Tu, J. H., Rowley, C. W., Luchtenburg, D. M., Brunton, S. L., & Kutz, J. N. (2014) · Journal of Computational Dynamics · doi:10.3934/jcd.2014.1.391 · Cited by 1,528
Self-citation(2018) · IEEE Control Systems · doi:10.1109/mcs.2018.2810460 · Cited by 518
Metadata
- Authors
- Holmes, P., Lumley, J. L., Berkooz, G., & Rowley, C. W.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 2012-02-23
- OpenAlex
- W1410907832
- Cited by
- 924
- References
- 0
- FWCI
- 12.01
- Type
- book
- Language
- en
- Open access
- closed
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