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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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Heifetz, E., Reuveni, Y., Gelfgat, A., Kit, E. and Methven, J. ORCID: https://orcid.org/0000-0002-7636-6872 (2006) The counterpropagating Rossby wave perspective on Kelvin Helmholtz instability as a limiting case of a Rayleigh shear layer with zero width. Physics of Fluids, 18 (1). 018101. ISSN 1070-6631

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To link to this item DOI: 10.1063/1.2166450

Abstract/Summary

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.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
ID Code:91
Publisher:American Institute of Physics
Publisher Statement:Copyright (1998) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics
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