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The decay of cyclonic eddies by Rossby wave radiation

Published online by Cambridge University Press:  25 April 1998

N. ROBB McDONALD
Affiliation:
Department of Mathematics, University College London, Gower Street, London WC1E 6BT UK
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Abstract

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It is argued that because shallow water cyclones on a β-plane drift westward at a speed equal to an available Rossby wave phase speed, they must radiate energy and cannot, therefore, be steady. The form of the Rossby wave wake accompanying a quasi-steady cyclone is calculated and the energy flux in the radiated waves determined. Further, an explicit expression for the radiation-induced northward drift of the cyclone is obtained. A general method for determining the effects of the radiation on the radius and amplitude of the vortex based on conservation of energy and potential vorticity is given. An example calculation for a cyclone with a ‘top-hat’ profile is presented, demonstrating that the primary effect of the radiation is to decrease the radius of the vortex. The dimensional timescale associated with the decay of oceanic vortices is of the order of several months to a year.

Type
Research Article
Copyright
© 1998 Cambridge University Press