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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 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
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:105672
Year Published:2015
Web of Science® Times Cited:1
Deposited By:Mathematics and Physics
Deposited On:2016-01-12
Last Modified:2018-04-04
Downloads:131 View Download Statistics

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