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Analytical solutions for oscillations in a harbor with a hyperbolic-cosine squared bottom

Lookup NU author(s): Professor Qiuhua Liang

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Abstract

Based on the linear shallow water approximation, longitudinal oscillations in a rectangular harbor with a hyperbolic-cosine squared bottom induced by incident perpendicular waves are analytically investigated, which could be described by combining the associated Legendre functions of the first and second kinds. The effects of topographic parameters on the resonant spectrum and response are examined in detail. When the width of the harbor is of the same order magnitude as wavelengths, transverse oscillations may exist due to the wave refraction. Analytic solutions for transverse oscillations within a harbor of hyperbolic-cosine squared bottom are derived. These oscillations are typically standing edge waves. The transverse eigenfrequency is found to be related not only to the width of the harbor, but also to the varying water depth parameters. (C) 2014 Elsevier Ltd. All rights reserved.

Publication metadata

Author(s): Wang G, Zheng JH, Liang QH, Zheng YN

Publication type: Article

Publication status: Published

Journal: Ocean Engineering

Year: 2014

Volume: 83

Pages: 16-23

Print publication date: 03/04/2014

ISSN (print): 0029-8018

ISSN (electronic): 1873-5258

Publisher: Elsevier B.V.

URL: http://dx.doi.org/10.1016/j.oceaneng.2014.03.027

DOI: 10.1016/j.oceaneng.2014.03.027

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