The Linear Impulse Response for Disturbances in an Oscillatory Stokes Layer

C. Davies; C. Thomas; Andrew Bassom; P.J. Blennerhassett

doi:10.1016/j.piutam.2015.03.064

The Linear Impulse Response for Disturbances in an Oscillatory Stokes Layer

C. Davies
, C. Thomas
, Andrew Bassom
, P.J. Blennerhassett

Research output: Chapter in Book/Conference paper › Conference paper › peer-review

1 Citation (Scopus)

Abstract

© 2015 The Authors. 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	Procedia IUTAM
Publisher	Elsevier
Pages	381-384
Volume	14
ISBN (Print)	2210-9838
DOIs	https://doi.org/10.1016/j.piutam.2015.03.064
Publication status	Published - 2015
Event	IUTAM_ABCM Symposium on Laminar Turbulent Transition - Rio di Janeiro, Brazil Duration: 8 Sept 2014 → 12 Sept 2014 Conference number: 8

Conference

Conference	IUTAM_ABCM Symposium on Laminar Turbulent Transition
Country/Territory	Brazil
City	Rio di Janeiro
Period	8/09/14 → 12/09/14

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

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title = "The Linear Impulse Response for Disturbances in an Oscillatory Stokes Layer",

abstract = "{\textcopyright} 2015 The Authors. 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.",

author = "C. Davies and C. Thomas and Andrew Bassom and P.J. Blennerhassett",

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language = "English",

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volume = "14",

pages = "381--384",

booktitle = "Procedia IUTAM",

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

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T1 - The Linear Impulse Response for Disturbances in an Oscillatory Stokes Layer

AU - Davies, C.

AU - Thomas, C.

AU - Bassom, Andrew

AU - Blennerhassett, P.J.

N1 - Conference code: 8

PY - 2015

Y1 - 2015

N2 - © 2015 The Authors. 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 - © 2015 The Authors. 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.

U2 - 10.1016/j.piutam.2015.03.064

DO - 10.1016/j.piutam.2015.03.064

M3 - Conference paper

SN - 2210-9838

VL - 14

SP - 381

EP - 384

BT - Procedia IUTAM

PB - Elsevier

T2 - IUTAM_ABCM Symposium on Laminar Turbulent Transition

Y2 - 8 September 2014 through 12 September 2014

ER -

The Linear Impulse Response for Disturbances in an Oscillatory Stokes Layer

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