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Trapped modes in an axisymmetric water-wave problem
journal contributionposted on 2013-02-27, 09:15 authored by Philip McIver, Maureen McIver
Trapped-mode solutions, that is, examples of non-uniqueness, are given for a class of axisymmetric problems in the linearized theory of the interaction of water waves with structures. The solutions are constructed by placing an axisymmetric ring source in the free surface with the radius of the ring chosen to eliminate radial circular waves. The ring-source potential then corresponds to a localized standing wave. Suitable structural surfaces are obtained by looking for stream surfaces of the flow.
- Mathematical Sciences
CitationMCIVER, P. and MCIVER, M., 1997. Trapped modes in an axisymmetric water-wave problem. Quarterly Journal of Mechanics and Applied Mathematics, 50 (2), pp.165-178.
Publisher© Oxford University Press
- NA (Not Applicable or Unknown)
NotesThis article is closed access.