Linear stability theory and bypass transition in shear flows

Peter J. Schmid

doi:10.1063/1.874049

Linear stability theory and bypass transition in shear flows

Peter J. Schmid

Research output: Contribution to journal › Article › peer-review

49 Scopus citations

Abstract

This paper gives a brief introduction and review of linear stability theory with emphasis on nonmodal effects. The temporal and spatial framework is discussed and the response to periodic and stochastic forcing is addressed. An extension to nonautonomous evolution problems is presented. Bypass transition due to the secondary instability of streaks is used as an example to illustrate the role of a nonmodal linear mechanism in the breakdown to turbulence. © 2000 American Institute of Physics.

Original language	English (US)
Pages (from-to)	1788-1794
Number of pages	7
Journal	Physics of Plasmas
Volume	7
Issue number	5 II
DOIs	https://doi.org/10.1063/1.874049
State	Published - Jan 1 2000
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics

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10.1063/1.874049

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AB - This paper gives a brief introduction and review of linear stability theory with emphasis on nonmodal effects. The temporal and spatial framework is discussed and the response to periodic and stochastic forcing is addressed. An extension to nonautonomous evolution problems is presented. Bypass transition due to the secondary instability of streaks is used as an example to illustrate the role of a nonmodal linear mechanism in the breakdown to turbulence. © 2000 American Institute of Physics.

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ER -

Linear stability theory and bypass transition in shear flows

Abstract

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