Three-dimensional Floquet stability analysis of the wake of a circular cylinder
Abstract
Results are reported from a highly accurate, global numerical stability analysis of the periodic wake of a circular cylinder for Reynolds numbers between 140 and 300. The analysis shows that the two-dimensional wake becomes (absolutely) linearly unstable to three-dimensional perturbations at a critical Reynolds number of 188.5±1.0. The critical spanwise wavelength is 3.96 ± 0.02 diameters and the critical Floquet mode corresponds to a ‘Mode A’ instability. At Reynolds number 259 the two-dimensional wake becomes linearly unstable to a second branch of modes with wavelength 0.822 diameters at onset. Stability spectra and corresponding neutral stability curves are presented for Reynolds numbers up to 300.
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References 41 · Cited by 896
- Authors
- Barkley, D., & Henderson, R. D.
- Affiliations
- University of Warwick (GB)
- California Institute of Technology (US)
- ORCID
- Barkley, Dwight
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1996-09-10
- Volume
- 322
- Pages
- 215-241
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2017944985
- Cited by
- 896
- References
- 41
- Citations by year
- 2026: 46 · 2025: 43 · 2024: 42 · 2023: 37 · 2022: 51 · 2021: 39 · 2020: 40 · 2019: 44 · 2018: 45 · 2017: 43 · 2016: 31 · 2015: 26 · 2014: 35 · 2013: 38 · 2012: 21
- FWCI
- 17.54
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Fluid Mechanics (publishedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Vibration Analysis
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Model Reduction and Neural Networks
- Keywords
- circular cylinder wake, Floquet stability, three-dimensional instability, critical Reynolds number, spanwise wavelength, neutral stability curves, wake transition, low Reynolds number flow
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