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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, AIP Conference Proceedings 1558: 11th International Conference on Numerical Analysis and Applied Mathematics 2013, 21-27 September 2013, Rhodes, Greece, pp. 269-272. ISSN 0094-243X (2013) [Refereed Conference Paper]


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Copyright Statement

Copyright 2013 AIP Publishing

DOI: doi:10.1063/1.4825473

Abstract

Numerical simulation results are reported for the linear evolution of disturbances in a flat oscillatory Stokes layer. A spatially localised form of impulsive forcing is applied. The subsequent disturbance development displays an intriguing family tree-like structure, which involves the birth of successive generations of wavepackets. The complexity of this response is likely to lead to some difficulties in the interpretation of data obtained from physical experiments. It is also noted that important features of the wavepacket behaviour can be accounted for using linear stability results based upon Floquet theory.

Item Details

Item Type:Refereed Conference Paper
Keywords:boundary layer, flow instability, oscillatory flow, wavepackets, 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:105671
Year Published:2013
Deposited By:Mathematics and Physics
Deposited On:2016-01-12
Last Modified:2016-07-08
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