Numerical study of low-frequency waves during harbor resonance

Dong, Guohai; Gao, Junliang; Ma, Xiaozhou; Wang, Gang; Ma, Yuxiang

doi:10.1016/j.oceaneng.2013.04.020

Cited by 38 publications

(55 citation statements)

References 23 publications

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“…In other words, equations (13) and (15) are only suitable for the linear wave condition inside the harbor. In general, the linear waves in the shallow water refer to waves with the infinitesimal wave nonlinearity parameter, H/h, where H and h denote the wave height and the water depth, respectively.…”

Section: Numerical Experimentsmentioning

confidence: 99%

Improvements on the normal mode decomposition method used in harbor resonance

Gao

Dong

et al. 2014

Proceedings of the Institution of Mechanical Engineers, Part M:

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In the article by Sobey (Rodney J. Sobey, 2006. Normal mode decomposition for identification of storm tide and tsunami hazard. Coastal Engineering 53, 289-301), the author proposed a normal mode decomposition method to calculate the eigenfrequencies, the eigenmodes and the response amplitudes of different resonant modes in natural harbors that are subjected to storm tides and tsunamis. However, the numerical method to address the no-flow boundary condition in that article is imprecise, which would lead to inexact eigenfrequencies and eigenmodes. In this article, the mirror-image method was proposed to improve this handling process. The accuracy of the improved normal mode decomposition method was verified using three verification tests. With a set of numerical experiments, it was determined that during the process of decomposing the response amplitudes of different resonant modes, the numerical fitting error between the simulated free surfaces and the corresponding fitted ones gradually increases with the wave nonlinearity inside the harbor. This article sought to identify the critical wave condition under which the normal mode decomposition method can accurately decompose the response amplitudes of different modes.

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Section: Numerical Experimentsmentioning

confidence: 99%

Improvements on the normal mode decomposition method used in harbor resonance

Gao

Dong

et al. 2014

Proceedings of the Institution of Mechanical Engineers, Part M:

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“…Although the focus of that work is on the oscillations of the water column inside the cylinder for wave power extraction, the physical problem of which is similar to the wave/harbor interactions. Apart from Laplace equation in the fluid domain or Helmholtz equation in a horizontal plane with the linearized free surface boundary condition, Boussinesq wave model for shallow water was also used to analyze the motion in the harbour [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Motion of a floating body in a harbour by domain decomposition method

Shi

2018

Applied Ocean Research

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A three-dimensional domain decomposition method is used to solve the problem of wave interaction with a ship floating inside a harbour with arbitrary shape. The linearized velocity potential theory is adopted. The total fluid domain is divided into two sub-ones: one for the harbour and the other for the external open sea. Boundary integral equations together with the free surface Green function are used in the both domains. Matching conditions are imposed on the interface of the two sub-domains to ensure the velocity and pressure continuity. The advantage of the domain decomposition method over the single domain method is that it removes the coastal surface from the boundary integral equation. This subsequently removes the need for elements on the coastal wall when the equation is discretized. The accuracy of the method is demonstrated through convergence study and through the comparison with the published data. Extensive results through the hydrodynamic coefficients, wave exciting forces and ship motions are provided. Highly oscillatory behaviour is observed and its mechanism is discussed. Finally, the effects of incident wave direction, ship location as well as the harbour topography are investigated in detail.

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“…Similar to Dong et al (2010b), based on numerical simulations by the FUNWAVE 2.0 model, Dong et al (2013) proposed a wave analysis technique to decompose the IG period components inside the harbor into bound and free IG waves, and further studied the effect of the short wavelength on the bound and the free IG waves and their relative components inside the harbor when the lowest resonant mode, which is induced by bichromatic wave groups, occurs. Subsequently, Gao et al (2016a) expanded the studies of Dong et al (2013) in the following two aspects. Firstly, in order to explore the similarities and differences between different modes, the resonant modes considered in Gao et al (2016a) were extended to the lowest four modes.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of infragravity wave amplifications during harbor oscillations influenced by variable offshore topography

Gao

et al. 2017

Ocean Dynamics

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The infragravity (IG) period oscillations inside an elongated rectangular harbor near the offshore fringing reef induced by normal-incident bichromatic short wave groups are simulated using a fully nonlinear Boussinesq model, FUNWAVE 2.0. Based on an IG wave separation procedure, this article presents a systematical investigation on how the maximum IG period component amplitude, the bound and free IG waves and their relative components inside the harbor change with respect to the plane reef-face slope and the incident short wave amplitude under the condition of the 2nd to the 5th modes. For the given harbor and the ranges of the reef-face slope and the incident short wave amplitude studied in this paper, it is shown that both the maximum IG period component amplitude and the free IG wave component amplitude inside the harbor fluctuate widely with the reef-face slope, and their changing trends with the reef-face slope are almost identical with each other; while the bound IG waves inside the harbor seem insensitive to it. Both the maximum IG period component amplitude and those of the bound and free IG standing waves inside the harbor change cubically with the incident short wave amplitude.

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Numerical study of low-frequency waves during harbor resonance

Cited by 38 publications

References 23 publications

Improvements on the normal mode decomposition method used in harbor resonance

Improvements on the normal mode decomposition method used in harbor resonance

Motion of a floating body in a harbour by domain decomposition method

Numerical investigation of infragravity wave amplifications during harbor oscillations influenced by variable offshore topography

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