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TOPOGRAPHIC WAVES IN OPEN DOMAINS .2. BAY MODES AND RESONANCES

STOCKER, TF; JOHNSON, ER; (1989) TOPOGRAPHIC WAVES IN OPEN DOMAINS .2. BAY MODES AND RESONANCES. J FLUID MECH , 200 (MAR) 77 - 93. 10.1017/S0022112089000571. Green open access

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Abstract

The topographic wave equation is solved in a domain consisting of a channel with a terminating bay zone. For exponential depth profiles the problem reduces to an algebraic eigenvalue problem. In a flat channel adjacent to a shelf–like bay zone the solutions form a countably infinite set of orthogonal bay modes: the spectrum of eigenfrequencies is purely discrete. A channel with transverse topography allows wave propagation towards and away from the bay: the spectrum has a continuous part below the cutoff frequency of free channel waves. Above this cutoff frequency a finite number (possibly zero) of bay-trapped solutions occur. Bounds for this number are given. At particular frequencies below the cutoff the system is in resonance with the incident wave. These resonances are shown to be associated with bay modes.

Type: Article
Title: TOPOGRAPHIC WAVES IN OPEN DOMAINS .2. BAY MODES AND RESONANCES
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022112089000571
Publisher version: http://dx.doi.org/10.1017/S0022112089000571
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/1325383
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