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论文类型：期刊论文
发表时间：2011-02-01
发表刊物：OCEAN ENGINEERING
收录刊物：SCIE、EI
卷号：38
期号：2-3
页面范围：479-486
ISSN号：0029-8018
关键字：Harbor resonance; Oscillations; Shallow water equations; Boussinesq model; Standing edge waves; Edge oscillations
摘要：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.