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Diffraction of sea waves by a slender body. Part 1. The shallow-water limit

Published online by Cambridge University Press:  21 April 2006

J. A. P. Aranha  and
M. Sugaya
J. A. P. Aranha
Affiliation:
São Paulo, SP, IPT, Brazil
M. Sugaya
Affiliation:
São Paulo, SP, IPT, Brazil
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Abstract

A uniformly valid theory (for all wavelengths and angle of incidence) is derived, correct to second order in the slenderness parameter. The leading-order contribution is the unified theory, derived by Newman (1978) and Sclavounous (1982), and it is shown here that for an important class of bodies - those with an ‘almost uniform’ cross-section - the leading-order correction is of higher order than second, and can be disregarded.

In part 1 of this work the shallow-water limit is considered, and some numerical experiments show good agreement between the observed error and the predicted one. In part 2 (to follow) the theory is extended to the arbitrary-water-depth case, with similar results and accuracy. In both cases it is assumed that the mean forward velocity is zero.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 180 , July 1987 , pp. 51 - 85
Copyright
© 1987 Cambridge University Press

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References

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