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: | 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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