Diffraction of sea waves by a slender body. Part 2. Water of finite depth

Author:

Aranha J. A. P.,Martins C. A.

Abstract

A uniformly valid theory (all wavelengths and angles of incidence) for the diffraction of sea waves by a slender body, correct to second order in the slenderness parameter, has been derived for the shallow-water limit. This theory is now extended to the finite water depth case, with the same results and accuracy.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference17 articles.

1. Sclavounos, P. D. 1981 On the diffraction of free surface waves by a slender ship. Ph.D. thesis,MIT.

2. Aranha, J. A. P. & Sugaya, M. 1987 Diffraction of sea waves by a slender body. Part 1. The shallow water limit.J. Fluid Mech. 180,51–85 (referred to herein as I).

3. Aranha, J. A. P. 1984 Mathematical analysis of the two dimensional water wave problem.

4. Lighthill, M. J. 1958 Introduction to Fourier Analysis and Generalized Functions .Cambridge University Press.

5. Aranha, J. A. P. 1988 Low frequency heave added mass in finite depth with application to slender bodies. Submitted.

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