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.
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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.
|Title:||Localisation of coastal trapped waves by longshore variations in bottom topography|
|Open access status:||An open access version is available from UCL Discovery|
|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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