The linear impulse response for disturbances in an oscillatory stokes layer

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

doi:10.1063/1.4825473

The linear impulse response for disturbances in an oscillatory stokes layer

Christopher Davies, Christian Thomas, Andrew P. Bassom, Peter J. Blennerhassett

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

Abstract

Numerical simulation results are reported for the linear evolution of disturbances in a flat oscillatory Stokes layer. A spatially localised form of impulsive forcing is applied. The subsequent disturbance development displays an intriguing family tree-like structure, which involves the birth of successive generations of wavepackets. The complexity of this response is likely to lead to some difficulties in the interpretation of data obtained from physical experiments. It is also noted that important features of the wavepacket behaviour can be accounted for using linear stability results based upon Floquet theory.

Original language	English
Title of host publication	Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2013
Editors	Theodore Simos, Georgios Psihoyios, Charalambos Tsitouras
Place of Publication	Melville NY USA
Publisher	American Institute of Physics
Pages	269-272
Number of pages	4
ISBN (Print)	9780735411852
DOIs	https://doi.org/10.1063/1.4825473
Publication status	Published - 2013
Externally published	Yes
Event	International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) 2013 - Rodos Palace Hotel, Rhodes, Greece Duration: 21 Sept 2013 → 27 Sept 2013 Conference number: 11th http://history.icnaam.org/icnaam_2013/index.htm

Publication series

Name	AIP Conference Proceedings
Publisher	AIP Publishing
Number	1
Volume	1558
ISSN (Print)	0094-243X

Conference

Conference	International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) 2013
Abbreviated title	ICNAAM 2013
Country/Territory	Greece
City	Rhodes
Period	21/09/13 → 27/09/13
Internet address	http://history.icnaam.org/icnaam_2013/index.htm

Keywords

Boundary layer
flow instability
impulse response
oscillatory flow
wavepackets

Access to Document

10.1063/1.4825473

Cite this

Davies, C., Thomas, C., Bassom, A. P., & Blennerhassett, P. J. (2013). The linear impulse response for disturbances in an oscillatory stokes layer. In T. Simos, G. Psihoyios, & C. Tsitouras (Eds.), Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2013 (pp. 269-272). (AIP Conference Proceedings; Vol. 1558, No. 1). American Institute of Physics. https://doi.org/10.1063/1.4825473

Davies, Christopher ; Thomas, Christian ; Bassom, Andrew P. et al. / The linear impulse response for disturbances in an oscillatory stokes layer. Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2013. editor / Theodore Simos ; Georgios Psihoyios ; Charalambos Tsitouras. Melville NY USA : American Institute of Physics, 2013. pp. 269-272 (AIP Conference Proceedings; 1).

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note = "International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) 2013, ICNAAM 2013 ; Conference date: 21-09-2013 Through 27-09-2013",

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Davies, C, Thomas, C, Bassom, AP & Blennerhassett, PJ 2013, The linear impulse response for disturbances in an oscillatory stokes layer. in T Simos, G Psihoyios & C Tsitouras (eds), Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2013. AIP Conference Proceedings, no. 1, vol. 1558, American Institute of Physics, Melville NY USA, pp. 269-272, International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) 2013, Rhodes, Greece, 21/09/13. https://doi.org/10.1063/1.4825473

The linear impulse response for disturbances in an oscillatory stokes layer. / Davies, Christopher; Thomas, Christian; Bassom, Andrew P. et al.
Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2013. ed. / Theodore Simos; Georgios Psihoyios; Charalambos Tsitouras. Melville NY USA: American Institute of Physics, 2013. p. 269-272 (AIP Conference Proceedings; Vol. 1558, No. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

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AB - Numerical simulation results are reported for the linear evolution of disturbances in a flat oscillatory Stokes layer. A spatially localised form of impulsive forcing is applied. The subsequent disturbance development displays an intriguing family tree-like structure, which involves the birth of successive generations of wavepackets. The complexity of this response is likely to lead to some difficulties in the interpretation of data obtained from physical experiments. It is also noted that important features of the wavepacket behaviour can be accounted for using linear stability results based upon Floquet theory.

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Davies C, Thomas C, Bassom AP, Blennerhassett PJ. The linear impulse response for disturbances in an oscillatory stokes layer. In Simos T, Psihoyios G, Tsitouras C, editors, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2013. Melville NY USA: American Institute of Physics. 2013. p. 269-272. (AIP Conference Proceedings; 1). doi: 10.1063/1.4825473

The linear impulse response for disturbances in an oscillatory stokes layer

Abstract

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Conference

Keywords

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Research output

The linear impulse response for disturbances in an oscillatory stokes layer

Cite this