Coupling of damped and growing modes in unstable shear flow

Fraser, A. E.; Terry, P. W.; Zweibel, E. G.; Pueschel, M. J.

doi:10.1063/1.4985322

Title: Coupling of damped and growing modes in unstable shear flow

Journal Article · Wed Jun 14 00:00:00 EDT 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4985322· OSTI ID:1425380

Fraser, A. E. ^[1]; Terry, P. W. ^[1]; Zweibel, E. G. ^[1]; Pueschel, M. J. ^[1]

Univ. of Wisconsin, Madison, WI (United States)

Analysis of the saturation of the Kelvin-Helmholtz instability is undertaken to determine the extent to which the conjugate linearly stable mode plays a role. For a piecewise-continuous mean flow profile with constant shear in a fixed layer, it is shown that the stable mode is nonlinearly excited, providing an injection-scale sink of the fluctuation energy similar to what has been found for gyroradius-scale drift-wave turbulence. Quantitative evaluation of the contribution of the stable mode to the energy balance at the onset of saturation shows that nonlinear energy transfer to the stable mode is as significant as energy transfer to small scales in balancing energy injected into the spectrum by the instability. The effect of the stable mode on momentum transport is quantified by expressing the Reynolds stress in terms of stable and unstable mode amplitudes at saturation, from which it is found that the stable mode can produce a sizable reduction in the momentum flux.

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Research Organization:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: FG02-89ER53291

OSTI ID:: 1425380

Alternate ID(s):: OSTI ID: 1363831; OSTI ID: 1438569

Journal Information:: Physics of Plasmas, Vol. 24, Issue 6; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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Cited By (4)

On the Rayleigh–Kuo criterion for the tertiary instability of zonal flows Zhu, Hongxuan; Zhou, Yao; Dodin, I. Y. Physics of Plasmas, Vol. 25, Issue 8 https://doi.org/10.1063/1.5038859	journal	August 2018
Role of stable modes in driven shear-flow turbulence Fraser, A. E.; Pueschel, M. J.; Terry, P. W. Physics of Plasmas, Vol. 25, Issue 12 https://doi.org/10.1063/1.5049580	journal	December 2018
On the Rayleigh--Kuo criterion for the tertiary instability of zonal flows Zhu, Hongxuan; Zhou, Yao; Dodin, I. Y. arXiv https://doi.org/10.48550/arxiv.1805.02233	text	January 2018
Role of stable modes in driven shear-flow turbulence Fraser, A. E.; Pueschel, M. J.; Terry, P. W. arXiv https://doi.org/10.48550/arxiv.1807.09280	text	January 2018

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Title: Coupling of damped and growing modes in unstable shear flow

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