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Theoretical analysis of harbor resonance in harbor with an exponential bottom profile

Lookup NU author(s): Dr Gang Wang, Professor Qiuhua Liang


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The general features of oscillations within a rectangular harbor of exponential bottom are investigated analytically. Based on the linear shallow water approximation, analytical solutions for longitudinal oscillations induced by the incident perpendicular wave are obtained by the method of matched asymptotics. The analytic results show that the resonant frequencies are shifted to larger values as the water depth increases and the oscillation amplitudes are enhanced due to the shoaling effect. Owing to the refraction effect, there could be several transverse oscillation modes existing in when the width of the harbor is on the order of the oscillation wavelength. These transverse oscillations are similar to standing edge waves, and there are m node lines in the longshore direction and n node lines running in the offshore direction corresponding to mode (n, m). Furthermore, the transverse eigen frequency is not only related to the width of the harbor, but also to the boundary condition at the backwall and the bottom shape.

Publication metadata

Author(s): Wang G, Zheng JH, Liang QH, Zhang W, Huang C

Publication type: Article

Publication status: Published

Journal: China Ocean Engineering

Year: 2015

Volume: 29

Issue: 6

Pages: 821-834

Print publication date: 01/12/2015

Online publication date: 13/11/2015

Acceptance date: 28/09/2014

ISSN (print): 0890-5487

Publisher: Chinese Ocean Engineering Society


DOI: 10.1007/s13344-015-0058-3


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Funder referenceFunder name
51209081National Natural Science Foundation of China
51411130125NSFC-RS Joint Projects
2015B15714Fundamental Research Funds for the Central Universities
LP1405Open Foundation of State Key Laboratory of Coastal and Offshore Engineering