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The linear impulse response for disturbances in an oscillatory Stokes layer
Citation
Davies, C and Thomas, C and Bassom, AP and Blennerhassett, PJ, The linear impulse response for disturbances in an oscillatory Stokes layer, Procedia IUTAM 14: ABCM Symposium on Laminar Turbulent Transition, 8-12 September 2014, Rio de Janeiro, Brazil, pp. 381-384. ISSN 2210-9838 (2015) [Refereed Conference Paper]
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Copyright Statement
Copyright 2015 The Authors CC BY-NC-ND
DOI: doi:10.1016/j.piutam.2015.03.064
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 Details
| Item Type: | Refereed Conference Paper |
|---|---|
| Keywords: | unsteady flow, boundary layer, Floquet stability, wavepacket evolution, impulse response |
| Research Division: | Mathematical Sciences |
| Research Group: | Applied Mathematics |
| Research Field: | Theoretical and Applied Mechanics |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding Knowledge |
| Objective Field: | Expanding Knowledge in the Mathematical Sciences |
| Author: | Bassom, AP (Professor Andrew Bassom) |
| ID Code: | 105672 |
| Year Published: | 2015 |
| Deposited By: | Mathematics and Physics |
| Deposited On: | 2016-01-12 |
| Last Modified: | 2018-04-04 |
| Downloads: | 37 View Download Statistics |
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