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The motion of a non-isolated vortex on the beta-plane

Published online by Cambridge University Press:  10 September 1997

STEFAN G. LLEWELLYN SMITH
STEFAN G. LLEWELLYN SMITH
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK
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Abstract

The trajectory of a non-isolated monopole on the beta-plane is calculated as an asymptotic expansion in the ratio of the strength of the vortex to the beta-effect. The method of matched asymptotic expansions is used to solve the equations of motion in two regions of the flow: a near field where the beta-effect enters as a first-order forcing in relative vorticity, and a wave field in which the dominant balance is a linear one between the beta-effect and the rate of change of relative vorticity. The resulting trajectory is computed for Gaussian and Rankine vortices.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 346 , 10 September 1997 , pp. 149 - 179
Copyright
© 1997 Cambridge University Press

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