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Wavefields forced by long obstacles on a beta-plane

Page, MA; Johnson, ER; (2000) Wavefields forced by long obstacles on a beta-plane. J FLUID MECH , 406 221 - 245. 10.1017/S002211209900751X. Green open access

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Abstract

This paper presents analytical and numerical solutions for steady flow past long obstacles on a beta-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: Article
Title: Wavefields forced by long obstacles on a beta-plane
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S002211209900751X
Publisher version: http://dx.doi.org/10.1017/S002211209900751X
Language: English
Additional information: © 2000 Cambridge University Press
Keywords: TOPOGRAPHIC ROSSBY WAVES, SHEARED COASTAL CURRENT, FINITE-AMPLITUDE WAVES, NUMERICAL SIMULATIONS, MOUNTAIN WAVES, SARGASSO SEA, GULF-STREAM, FLOW, TOPEX/POSEIDON, DISTURBANCES
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/129897
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