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Head-sea diffraction by a slender raft with application to wave-power absorption

Published online by Cambridge University Press:  20 April 2006

Pierre Haren
Affiliation:
Parsons Laboratory, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Mass. 02139
Chiang C. Mei
Affiliation:
Parsons Laboratory, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Mass. 02139

Abstract

The parabolic approximation which has recently been found to be useful in other physical contexts, is extended to head-sea diffraction of short waves by a slender raft on deep water. In particular, it is a much more direct way of getting the inner approximation of the outer solution in a scheme of matched asymptotics than the original method of Faltinsen (1971). The present results are compared with a more involved integral equation method and are found to be remarkably accurate even when the raft length is comparable to the wavelength. Finally, the asymptotic method is modified for a compliant raft which absorbs wave power by suitably controlled impedance. Optimum efficiency and other performance characteristics are predicted.

Type
Research Article
Copyright
© 1981 Cambridge University Press

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