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The linear impulse response for disturbances in an oscillatory Stokes layer

Davies, Christopher, 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: 13 Mar 2019 13:01
URI: http://orca.cf.ac.uk/id/eprint/80804

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