The linear impulse response for disturbances in an oscillatory stokes layer

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

doi:10.1063/1.4825473

The linear impulse response for disturbances in an oscillatory stokes layer

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

Research output: Contribution to journal › Conference paper › peer-review

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.

Original language	English
Pages (from-to)	269-272
Number of pages	4
Journal	AIP Conference Proceedings
Volume	1558
Issue number	1
DOIs	https://doi.org/10.1063/1.4825473
Publication status	Published - 17 Oct 2013
Externally published	Yes
Event	11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013 - Rhodes, Greece Duration: 21 Sept 2013 → 27 Sept 2013

Keywords

Boundary layer
flow instability
oscillatory flow
wavepackets
impulse response

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10.1063/1.4825473

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

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.",

keywords = "Boundary layer, flow instability, oscillatory flow, wavepackets, impulse response",

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

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AU - Davies, Christopher

AU - Thomas, Christian

AU - Bassom, Andrew P.

AU - Blennerhassett, Peter J.

PY - 2013/10/17

Y1 - 2013/10/17

N2 - 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.

AB - 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.

KW - Boundary layer

KW - flow instability

KW - oscillatory flow

KW - wavepackets

KW - impulse response

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U2 - 10.1063/1.4825473

DO - 10.1063/1.4825473

M3 - Conference paper

AN - SCOPUS:84887553203

SN - 0094-243X

VL - 1558

SP - 269

EP - 272

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

IS - 1

T2 - 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013

Y2 - 21 September 2013 through 27 September 2013

ER -

The linear impulse response for disturbances in an oscillatory stokes layer

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Keywords

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