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Trapped modes in an axisymmetric water-wave problem
journal contribution
posted on 2013-02-27, 09:15 authored by Philip McIver, Maureen McIverTrapped-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.
History
School
- Science
Department
- Mathematical Sciences
Citation
MCIVER, 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 PressVersion
- NA (Not Applicable or Unknown)
Publication date
1997Notes
This article is closed access.ISSN
0033-5614Publisher version
Language
- en