The counterpropagating Rossby wave perspective on Kelvin Helmholtz instability as a limiting case of a Rayleigh shear layer with zero width

Eyal Heifetz; Yuval Reuveni; Alexander Gelfgat; Eliezer Kit; John Methven

doi:10.1063/1.2166450

The counterpropagating Rossby wave perspective on Kelvin Helmholtz instability as a limiting case of a Rayleigh shear layer with zero width

Eyal Heifetz, Yuval Reuveni, Alexander Gelfgat, Eliezer Kit, John Methven

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

8 Scopus citations

Abstract

The Kelvin Helmholtz (KH) problem, with zero stratification, is examined as a limiting case of the Rayleigh model of a single shear layer whose width tends to zero. The transition of the Rayleigh modal dispersion relation to the KH one, as well as the disappearance of the supermodal transient growth in the KH limit, are both rationalized from the counterpropagating Rossby wave perspective.

Original language	English
Article number	018101
Journal	Physics of Fluids
Volume	18
Issue number	1
DOIs	https://doi.org/10.1063/1.2166450
State	Published - 2006
Externally published	Yes

Keywords

Dispersion relations
Flow instability
Shear flow
Waves

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10.1063/1.2166450

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title = "The counterpropagating Rossby wave perspective on Kelvin Helmholtz instability as a limiting case of a Rayleigh shear layer with zero width",

abstract = "The Kelvin Helmholtz (KH) problem, with zero stratification, is examined as a limiting case of the Rayleigh model of a single shear layer whose width tends to zero. The transition of the Rayleigh modal dispersion relation to the KH one, as well as the disappearance of the supermodal transient growth in the KH limit, are both rationalized from the counterpropagating Rossby wave perspective.",

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author = "Eyal Heifetz and Yuval Reuveni and Alexander Gelfgat and Eliezer Kit and John Methven",

note = "Funding Information: This work is supported by the Israel Science Foundation (Grant 240/01). E.H. wishes to acknowledge Orkan Mehmet Umurhan and Hylke DeVries for illuminating discussions.",

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AU - Kit, Eliezer

AU - Methven, John

N1 - Funding Information: This work is supported by the Israel Science Foundation (Grant 240/01). E.H. wishes to acknowledge Orkan Mehmet Umurhan and Hylke DeVries for illuminating discussions.

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AB - The Kelvin Helmholtz (KH) problem, with zero stratification, is examined as a limiting case of the Rayleigh model of a single shear layer whose width tends to zero. The transition of the Rayleigh modal dispersion relation to the KH one, as well as the disappearance of the supermodal transient growth in the KH limit, are both rationalized from the counterpropagating Rossby wave perspective.

KW - Dispersion relations

KW - Flow instability

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KW - Waves

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The counterpropagating Rossby wave perspective on Kelvin Helmholtz instability as a limiting case of a Rayleigh shear layer with zero width

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Keywords

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