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New Zealand Mathematics Colloquium 1999
July 6-9, 1999
Department of Mathematics and Statistics, University of Canterbury
Christchurch, New Zealand

Organizers
Doris Barnard, Therese Boustead, Chris Price, Bruce Robson, Gunter Steinke, Graeme Wake, Allan Willms

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Using Resonance Scattering to Calculate Hydroelastic Response.
by
Michael Meylan
Massey University

The standard method for solving the linear hydroelastic problem is to consider only monocromatic wave forcing. Effectively this method removes all the time derivatives from the problem and the solution of the problem is reduced to the solution of Laplace's equation in the fluid domain. The only problem being that a new solution must be found for every frequency of wave forcing.

In 1993 Hazard and Lenoir (SIAM J. of Math. Anal. Vol. 24, No. 6 pp 1458 -1514) proposed a method for determining the hydroelastic response by resonance scattering. Possibly becasue of the abstraction of their paper, their method has never been used to calculate the solution to any hydroelastic problems of interest.

I will show how the resonance scattering solution method can be applied to the simple hydroelastic problem of determining the response of a floating airport in shallow water.

Date received: June 3, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacc-36.