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Indexed by:期刊论文

Date of Publication:2011-02-01

Journal:OCEAN ENGINEERING

Included Journals:SCIE、EI

Volume:38

Issue:2-3

Page Number:479-486

ISSN No.:0029-8018

Key Words:Harbor resonance; Oscillations; Shallow water equations; Boussinesq model; Standing edge waves; Edge oscillations

Abstract:Longitudinal and transverse oscillations within a harbor of constant slope are analyzed. Based on the linear shallow water approximation, longitudinal oscillations are described with Bessel equations. Ignoring friction, oscillations are forced using the period of the incident perpendicular wave field by the method of matched asymptotics. The analytic results show that the varying depth shifts the resonant wave numbers to lower values than those for the same geometric harbor with constant depth. Furthermore, we extend the shallow water equations to a linear, weakly dispersive, Boussinesq-type equation by modifying the offshore velocity component, and then use it to investigate possible existing transverse oscillations in the harbor of constant slope. These oscillations are types of standing edge waves. Their character is quite sensitive to the boundary condition at the backwall of the harbor. (C) 2010 Elsevier Ltd. All rights reserved.