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