The linear impulse response for disturbances in an oscillatory Stokes layer

Christopher Davies*, Christian Thomas, Andrew P. Bassom, Peter J. Blennerhassett

*Corresponding author for this work

Research output: Contribution to journalConference paperpeer-review

1 Citation (Scopus)
4 Downloads (Pure)

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.

Original languageEnglish
Pages (from-to)381-384
Number of pages4
JournalProcedia IUTAM
Volume14
DOIs
Publication statusPublished - 2015
Externally publishedYes
Event8th IUTAM-ABCM Symposium on Laminar Turbulent Transition, LTT 2014 - Rio de Janeiro, Brazil
Duration: 8 Sep 201412 Sep 2014

Bibliographical note

Copyright the Author(s) 2015. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

Keywords

  • boundary layer
  • Floquet stability
  • impulse response
  • Unsteady flow
  • wavepacket evolution

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