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Explicit solutions for a steady vortex–wave interaction

Published online by Cambridge University Press:  12 August 2004

DARREN G. CROWDY
DARREN G. CROWDY
Affiliation:
Department of Mathematics, Imperial College of Science, Technology and Medicine, 180 Queen's Gate, London SW7 2AZ, UK
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Abstract

A class of equilibria of the Euler equations is derived describing a vortex dipole of non-zero circulation interacting with the interface between a uniform shear layer and an irrotational region. The flow field and the shape of the deformed shear layer profile are given in terms of explicit mathematical formulae. Properties of the solutions are discussed. They share many qualitative features with a new translating quasi-geostrophic V-state solution recently found by McDonald (2004).

Type
Papers
Information
Journal of Fluid Mechanics , Volume 513 , 25 August 2004 , pp. 161 - 170
Copyright
© 2004 Cambridge University Press

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