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Gap-Leaping Vortical Currents

McDonald, NR; Johnson, ER; (2009) Gap-Leaping Vortical Currents. Journal of Physical Oceanography , 39 (10) 2665 - 2674. 10.1175/2009JPO4191.1. Green open access

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Abstract

A one-parameter family of exact solutions describing the bifurcation of a steady two-dimensional current with uniform vorticity near a gap in a thin barrier is found. The unsteady evolution of source-driven flows toward these steady states is studied using a version of contour dynamics, appropriately modified to take into account the presence of a barrier with a single gap. It is shown that some of the steady solutions are realizable as large-time limits of the source-driven flows, although some are not owing to persistent eddy-shedding events in the vicinity of the gap. For the special case when there is zero net flux through the gap, numerical experiments show that the through-gap flux of vortical fluid increases with the width of the gap and that this flux approaches a steady limit with time.

Type: Article
Title: Gap-Leaping Vortical Currents
Open access status: An open access version is available from UCL Discovery
DOI: 10.1175/2009JPO4191.1
Publisher version: http://dx.doi.org/10.1175/2009JPO4191.1
Language: English
Additional information: © Copyright 2009 American Meteorological Society
Keywords: WESTERN BOUNDARY CURRENT, POTENTIAL VORTICITY, COASTAL CURRENTS, UNIMAK PASS, FLOW, DYNAMICS, MOTION, VORTEX, TOPOGRAPHY, BARRIERS
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/96866
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