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Wavefields forced by long obstacles on a beta-plane

Published online by Cambridge University Press:  10 March 2000

M. A. PAGE  and
E. R. JOHNSON
M. A. PAGE
Affiliation:
Department of Mathematics and Statistics, Monash University, Clayton 3168, Australia
E. R. JOHNSON
Affiliation:
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK
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Abstract

This paper presents analytical and numerical solutions for steady flow past long obstacles on a β-plane. In the oceanographically-relevant limit of small Rossby and Ekman numbers nonlinear advection remains important but viscosity appears only through the influence of Ekman pumping. A reduced boundary-layer-type equation is derived giving the long-obstacle limit of an equation described in Page & Johnson (1990). Analytical solutions are presented or described in various asymptotic limits of this equation and compared with previous results for this or related flows. A novel technique for the numerical solution of the boundary-layer equation, based on a downstream–upstream iteration procedure, is described. Some modifications of the asymptotic layer structure described in Page & Johnson (1991) and Johnson & Page (1993) for the weakly nonlinear low-friction regime are outlined for the case of a lenticular obstacle.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 406 , 10 March 2000 , pp. 221 - 245
Copyright
© 2000 Cambridge University Press

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