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

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other › peer-review

1 Citation (Scopus)

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
Title of host publication	IUTAM_ABCM Symposium on Laminar Turbulent Transition
Place of Publication	Amsterdam Netherlands
Publisher	Elsevier
Pages	381-384
Number of pages	4
Volume	14
DOIs	https://doi.org/10.1016/j.piutam.2015.03.064
Publication status	Published - 2015
Externally published	Yes
Event	IUTAM-ABCM Symposium on Laminar Turbulent Transition 2014 - Pestana Rio Atlântica, Rio de Janeiro, Brazil Duration: 8 Sept 2014 → 12 Sept 2014 Conference number: 8th http://www.ndf.poli.usp.br/SLTT2014/index.html http://toc.proceedings.com/26997webtoc.pdf

Publication series

Name	Procedia IUTAM
Publisher	Elsevier BV
Volume	14
ISSN (Electronic)	2210-9838

Conference

Conference	IUTAM-ABCM Symposium on Laminar Turbulent Transition 2014
Abbreviated title	LTT 2014
Country/Territory	Brazil
City	Rio de Janeiro
Period	8/09/14 → 12/09/14
Internet address	http://www.ndf.poli.usp.br/SLTT2014/index.html http://toc.proceedings.com/26997webtoc.pdf

Keywords

boundary layer
Floquet stability
impulse response
Unsteady flow
wavepacket evolution

Access to Document

10.1016/j.piutam.2015.03.064

35528381-oa

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.\}",

year = "2015",

doi = "10.1016/j.piutam.2015.03.064",

language = "English",

volume = "14",

series = "Procedia IUTAM",

publisher = "Elsevier",

pages = "381--384",

booktitle = "IUTAM\_ABCM Symposium on Laminar Turbulent Transition",

address = "Netherlands",

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

url = "http://www.ndf.poli.usp.br/SLTT2014/index.html, http://toc.proceedings.com/26997webtoc.pdf",

}

Davies, C, Thomas, C, Bassom, AP & Blennerhassett, PJ 2015, The linear impulse response for disturbances in an oscillatory stokes layer. in IUTAM_ABCM Symposium on Laminar Turbulent Transition. vol. 14, Procedia IUTAM, vol. 14, Elsevier, Amsterdam Netherlands, pp. 381-384, IUTAM-ABCM Symposium on Laminar Turbulent Transition 2014, Rio de Janeiro, Brazil, 8/09/14. https://doi.org/10.1016/j.piutam.2015.03.064

The linear impulse response for disturbances in an oscillatory stokes layer. / Davies, Christopher; Thomas, Christian; Bassom, Andrew P. et al.
IUTAM_ABCM Symposium on Laminar Turbulent Transition. Vol. 14 Amsterdam Netherlands: Elsevier, 2015. p. 381-384 (Procedia IUTAM; Vol. 14).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other › peer-review

TY - GEN

T1 - The linear impulse response for disturbances in an oscillatory stokes layer

AU - Davies, Christopher

AU - Thomas, Christian

AU - Bassom, Andrew P.

AU - Blennerhassett, Peter J.

N1 - Conference code: 8th

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

UR - https://www.scopus.com/pages/publications/84940652766

U2 - 10.1016/j.piutam.2015.03.064

DO - 10.1016/j.piutam.2015.03.064

M3 - Conference Paper

AN - SCOPUS:84940652766

VL - 14

T3 - Procedia IUTAM

SP - 381

EP - 384

BT - IUTAM_ABCM Symposium on Laminar Turbulent Transition

PB - Elsevier

CY - Amsterdam Netherlands

T2 - IUTAM-ABCM Symposium on Laminar Turbulent Transition 2014

Y2 - 8 September 2014 through 12 September 2014

ER -

The linear impulse response for disturbances in an oscillatory stokes layer

Abstract

Publication series

Conference

Keywords

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Research output

The linear impulse response for disturbances in an oscillatory stokes layer

Cite this