Evolution of disturbance wavepackets in an oscillatory Stokes layer

Christian Thomas; Christopher Davies; Andrew P. Bassom; P. J. Blennerhassett

doi:10.1017/jfm.2014.291

Evolution of disturbance wavepackets in an oscillatory Stokes layer

Christian Thomas, Christopher Davies^*, Andrew P. Bassom, P. J. Blennerhassett

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

Numerical simulation results are presented for the linear and nonlinear evolution of disturbances in a flat Stokes layer. The response to a spatially localised impulsive forcing is investigated and it is found that the spatial-temporal development of the flow displays an intriguing family-tree-like structure, which involves the birth of successive generations of distinct wavepacket components. It is shown that some features of this unexpected structure can be predicted using the results of a linear stability analysis based on Floquet theory.

Original language	English
Pages (from-to)	543-571
Number of pages	29
Journal	Journal of Fluid Mechanics
Volume	752
DOIs	https://doi.org/10.1017/jfm.2014.291
Publication status	Published - 10 Aug 2014
Externally published	Yes

Keywords

absolute/convective instability
boundary layer stability
transition to turbulence

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10.1017/jfm.2014.291

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abstract = "Numerical simulation results are presented for the linear and nonlinear evolution of disturbances in a flat Stokes layer. The response to a spatially localised impulsive forcing is investigated and it is found that the spatial-temporal development of the flow displays an intriguing family-tree-like structure, which involves the birth of successive generations of distinct wavepacket components. It is shown that some features of this unexpected structure can be predicted using the results of a linear stability analysis based on Floquet theory.",

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author = "Christian Thomas and Christopher Davies and Bassom, \{Andrew P.\} and Blennerhassett, \{P. J.\}",

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AU - Davies, Christopher

AU - Bassom, Andrew P.

AU - Blennerhassett, P. J.

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AB - Numerical simulation results are presented for the linear and nonlinear evolution of disturbances in a flat Stokes layer. The response to a spatially localised impulsive forcing is investigated and it is found that the spatial-temporal development of the flow displays an intriguing family-tree-like structure, which involves the birth of successive generations of distinct wavepacket components. It is shown that some features of this unexpected structure can be predicted using the results of a linear stability analysis based on Floquet theory.

KW - absolute/convective instability

KW - boundary layer stability

KW - transition to turbulence

UR - https://www.scopus.com/pages/publications/84924412110

UR - http://purl.org/au-research/grants/arc/DP0880463

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DO - 10.1017/jfm.2014.291

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VL - 752

SP - 543

EP - 571

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

ER -

Evolution of disturbance wavepackets in an oscillatory Stokes layer

Abstract

Keywords

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