On the radiation and scattering of short surface waves. Part 2
- 5 June 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 59 (1) , 129-146
- https://doi.org/10.1017/s0022112073001461
Abstract
A short-wave asymptotic analysis is undertaken for problems concerned with the radiation and scattering of surface waves by a cylinder whose cross-section S intersects the free surface normally. It is assumed that S is locally smooth and convex at the two intersection points with the fluid, which may be of infinite or finite depth. For both the scattering and radiation problem, a matched expansion technique is used to provide asymptotic estimates, in terms of relatively simple wave-free limit potentials, for the amplitudes of the surface wave trains that propagate from S. Explicit details are given for some particular geometries, confirming and extending earlier results. The method can, in principle, be extended to deal with other geometries.Keywords
This publication has 5 references indexed in Scilit:
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- On the short-wave asymptotic motion due to a cylinder heaving on water of finite depth. IIMathematical Proceedings of the Cambridge Philosophical Society, 1970
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