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TOPOGRAPHIC WAVES IN OPEN DOMAINS .1. BOUNDARY-CONDITIONS AND FREQUENCY ESTIMATES

JOHNSON, ER; (1989) TOPOGRAPHIC WAVES IN OPEN DOMAINS .1. BOUNDARY-CONDITIONS AND FREQUENCY ESTIMATES. J FLUID MECH , 200 (MAR) 69 - 76. 10.1017/S002211208900056X. Green open access

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Abstract

The problem is considered of topographic waves propagating on depth gradients in rotating domains. A variational principle is derived for the eigenfunctions and eigenfrequencies of normal modes on a domain, and applied to subdomains of the whole domain. Considering suitable boundary conditions on the open boundary between the subdomain and the remainder of the whole domain gives upper and lower bounds and estimates for the frequencies of normal modes localized in the subdomain without the complication of solving over the whole domain. It is shown that applying a zero-mass-flux condition at the open boundary leads to a lower bound on the frequency whereas requiring a particular form of the energy flux to vanish identically at each point of the boundary provides an upper bound.

Type: Article
Title: TOPOGRAPHIC WAVES IN OPEN DOMAINS .1. BOUNDARY-CONDITIONS AND FREQUENCY ESTIMATES
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S002211208900056X
Publisher version: http://dx.doi.org/10.1017/S002211208900056X
Language: English
Additional information: © 1989 Cambridge University Press
UCL classification: UCL
UCL > Provost and Vice Provost Offices
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/1325382
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