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On the radiation and scattering of short surface waves. Part 2

Published online by Cambridge University Press:  29 March 2006

F. G. Leppington
F. G. Leppington
Affiliation:
Department of Mathematics, Imperial College, London
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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 59 , Issue 1 , 5 June 1973 , pp. 129 - 146
Copyright
© 1973 Cambridge University Press

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References

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