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Localisation of coastal trapped waves by longshore variations in bottom topography

Rodney, JT; Johnson, ER; (2012) Localisation of coastal trapped waves by longshore variations in bottom topography. Continental Shelf Research , 32 130 - 137. 10.1016/j.csr.2011.11.002. Green and gold open access

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Abstract

Variations in shelf geometry mean that a coastal trapped wave mode can propagate within some finite length of shelf but be evanescent outside this region. This paper constructs such geographically localised coastal trapped waves using a WKBJ approximation. Comparison with full numerical solutions of the non-linear differential eigenvalue problem demonstrates that the approximation is extremely accurate. The asymptotic and full numerical models are then used to examine the parameters and geometries that govern the existence of these modes.

Type:Article
Title:Localisation of coastal trapped waves by longshore variations in bottom topography
Open access status:An open access publication. A version is also available from UCL Discovery.
DOI:10.1016/j.csr.2011.11.002
Publisher version:http://dx.doi.org/10.1016/j.csr.2011.11.002
Language:English
Additional information:This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Keywords:Trapped modes, Coastal trapped waves, WKBJ approximation
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics

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