Wave spectral modeling of multidirectional random waves in a harbor through combination of boundary integral of Helmholtz equation with Chebyshev point discretization

Kumar, Prashant; Zhang, Huai; Kim, Kwang Ik; Shi, Yuguang; Yuen, David A.

doi:10.1016/j.compfluid.2014.11.021

Cited by 21 publications

(3 citation statements)

References 29 publications

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“…A harbour with corner point was considered by Kumar, Zhang [7]. Besides, Martins-Rivas and Mei [8] considered the interaction of waves with a vertical circular cylinder half embedded in cliff and open on the seaside.…”

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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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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“…Hamanaka 6 considered a more general problem in which the harbor could contain several types of boundary, i.e., reflection boundary, partial reflection boundary, open boundary, and incidentabsorbing boundary. The wave diffraction problem by a harbor was also considered by Kumar et al 7 through the two-dimensional boundary integral method with Chebyshev point discretization applied on the horizontal plane of the harbor boundary, together with the vertical modes. However, when there is a body of general shape floating in the harbor, the problem needs to be considered in a three-dimensional sense, e.g., solved by Shi, Li, and Wu 8 through introducing a domain decomposition method.…”

Section: Introductionmentioning

confidence: 99%

Interaction of ocean wave with a harbor covered by an ice sheet

Shi

2021

Physics of Fluids

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A domain decomposition method is developed to solve the problem of wave motion inside a harbor with its surface covered by an ice sheet. The shape of the horizontal plane of the harbor can be arbitrary while the sidewall is vertical. The entrance of the harbor is open to the sea with a free surface. The linearized velocity potential theory is adopted for fluid flow, and the thin elastic plate model is applied for the ice sheet. The domain is divided into two subdomains. Inside the harbor, the velocity potential is expanded into a series of eigenfunctions in the vertical direction. The orthogonal inner product is adopted to impose the impermeable condition on the harbor wall, together with the edge conditions on the intersection of the harbor wall and the ice sheet. In the open sea outside of the harbor, through the modified Green function, the velocity potential is written in terms of an integral equation over the surface of the harbor entrance, or the interface between the two subdomains. On the interface, the orthogonal inner product is also applied to impose the continuity conditions of velocity and pressure as well as the free ice edge conditions. Computations are first carried out for a rectangular harbor without the ice sheet to verify the methodology, and then extensive results and discussions are provided for a harbor of a more general shape covered by an ice sheet with different thicknesses and under different incident wave angles.

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“…Since model linearity imposes non-interacting solutions of the problem, the harbor agitation can be computed independently for each spectral case. Next, the wave components can be linearly combined a posteriori using the values of the input spectra to generate useful quantities of interest, see for instance [1]. One recurrent application consists in looking for those frequencies generating high wave amplifications for random directional incident waves, and use them to identify potential resonance effects in the harbor [2][3][4].…”

Section: Introductionmentioning

confidence: 99%