The linear impulse response for disturbances in an oscillatory Stokes layer

Davies, Christopher ORCID: https://orcid.org/0000-0002-5592-9541, Thomas, Christian, Bassom, Andrew P. and Blennerhassett, Peter J. 2015. The linear impulse response for disturbances in an oscillatory Stokes layer. Procedia IUTAM 14 , pp. 381-384. 10.1016/j.piutam.2015.03.064

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Abstract

A brief review is given of numerical simulation results for the evolution of disturbances in a flat oscillatory Stokes layer. A spatially localised form of impulsive forcing is applied to trigger the disturbances. For the linearized case, the disturbance development displays an intriguing family tree-like structure, which involves the birth of successive generations of wavepackets. Although some features of the wavepacket behaviour may be accounted for using a Floquet linear stability analysis, for Fourier modes with prescribed wavenumbers, the discovery of the tree-like structure was completely unexpected. Simulation results were also obtained for nonlinear disturbances, where highly localised spikes were found to develop.

Item Type:	Article
Date Type:	Published Online
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Unsteady flow; boundary layer; Floquet stability; wavepacket evolution; impulse response.
Publisher:	Elsevier
ISSN:	2210-9838
Date of First Compliant Deposit:	30 March 2016
Date of Acceptance:	26 March 2015
Last Modified:	06 Jan 2024 04:53
URI:	https://orca.cardiff.ac.uk/id/eprint/80804

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