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Uncovering the Lagrangian Skeleton of Turbulence
Abstract
We present a technique that uncovers the Lagrangian building blocks of turbulence, and apply this technique to a quasi-two-dimensional turbulent flow experiment. Our analysis identifies an intricate network of attracting and repelling material lines. This chaotic tangle, the Lagrangian skeleton of turbulence, shows a level of complexity found previously only in theoretical and numerical examples of strange attractors. We quantify the strength (hyperbolicity) of each material line in the skeleton and demonstrate dramatically different mixing properties in different parts of the tangle.
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Cited by
Closed-Loop Turbulence Control: Progress and Challenges
Brunton, S. L., & Noack, B. R. (2015) · Applied Mechanics Reviews · doi:10.1115/1.4031175 · Cited by 623
A variational theory of hyperbolic Lagrangian Coherent Structures
Haller, G. (2011) · Physica D: Nonlinear Phenomena · doi:10.1016/j.physd.2010.11.010 · Cited by 406
Self-citationFlow structures and fluid transport for the hydromedusae Sarsia tubulosa and Aequorea victoria
Lipinski, D., & Mohseni, K. (2009) · Journal of Experimental Biology · doi:10.1242/jeb.026740 · Cited by 68
Finite Time Lyapunov Exponent Analysis of Model Predictive Control and Reinforcement Learning
Krishna, K., Brunton, S. L., & Song, Z. (2023) · IEEE Access · doi:10.1109/access.2023.3326424 · Cited by 12
“More broadly, FTLE has also been used to compute coherent structures for a wide range of other flows [10], [59], [60], [61], [62], [63].”
Method
Metadata
- Authors
- Mathur, M., Haller, G., Peacock, T., Ruppert-Felsot, J. E., & Swinney, H. L.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-04-04
- Volume
- 98
- Issue
- 14
- Pages
- 144502-144502
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2134768124
- Cited by
- 212
- References
- 0
- FWCI
- 19.98
- Type
- journal article
- Language
- en
- Open access
- closed
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- Mathur, M., Haller, G., Peacock, T., Ruppert-Felsot, J. E., & Swinney, H. L. (2007). Uncovering the Lagrangian Skeleton of Turbulence. Physical Review Letters. https://doi.org/10.1103/physrevlett.98.144502
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