The linear impulse response for disturbances in an oscillatory Stokes layer

Christopher Davies; Christian Thomas; Andrew P. Bassom; Peter J. Blennerhassett

doi:10.1016/j.piutam.2015.03.064

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 journal › Conference paper › peer-review

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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.

Original language	English
Pages (from-to)	381-384
Number of pages	4
Journal	Procedia IUTAM
Volume	14
DOIs	https://doi.org/10.1016/j.piutam.2015.03.064
Publication status	Published - 2015
Externally published	Yes
Event	8th IUTAM-ABCM Symposium on Laminar Turbulent Transition, LTT 2014 - Rio de Janeiro, Brazil Duration: 8 Sept 2014 → 12 Sept 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

Access to Document

10.1016/j.piutam.2015.03.064Licence: CC BY-NC-ND

Publisher verison (open access)Final published version, 1.31 MBLicence: CC BY-NC-ND

Cite this

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title = "The linear impulse response for disturbances in an oscillatory Stokes layer",

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.",

keywords = "boundary layer, Floquet stability, impulse response, Unsteady flow, wavepacket evolution",

author = "Christopher Davies and Christian Thomas and Bassom, {Andrew P.} and Blennerhassett, {Peter J.}",

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.; 8th IUTAM-ABCM Symposium on Laminar Turbulent Transition, LTT 2014 ; Conference date: 08-09-2014 Through 12-09-2014",

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AU - Davies, Christopher

AU - Thomas, Christian

AU - Bassom, Andrew P.

AU - Blennerhassett, Peter J.

N1 - 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.

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - boundary layer

KW - Floquet stability

KW - impulse response

KW - Unsteady flow

KW - wavepacket evolution

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DO - 10.1016/j.piutam.2015.03.064

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AN - SCOPUS:84940652766

SN - 2210-9838

VL - 14

SP - 381

EP - 384

JO - Procedia IUTAM

JF - Procedia IUTAM

T2 - 8th IUTAM-ABCM Symposium on Laminar Turbulent Transition, LTT 2014

Y2 - 8 September 2014 through 12 September 2014

ER -

The linear impulse response for disturbances in an oscillatory Stokes layer

Abstract

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Keywords

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