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Journal of Engineering Mathematics

Erschienen in:

20.01.2019

Boundary-integral representations for ship motions in regular waves

verfasst von: Jiayi He, Yi Zhu, Huiyu Wu, Chen-Jun Yang, Wei Li, Francis Noblesse

Erschienen in: Journal of Engineering Mathematics | Ausgabe 1/2019

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Abstract

Alternative boundary-integral representations of linear potential flow around a ship that travels at a constant speed in regular (time-harmonic) waves in deep water are considered. In particular, the Neumann–Michell (NM) boundary-integral representation of steady flow around a ship traveling in calm water is extended to ship motions in regular waves. This extension is straightforward, but points to a complicated and unresolved fundamental issue that is essentially related to the formulation of a linear flow model. Indeed, the NM boundary-integral flow representation for ship motions in regular waves given in the study suggests that the classical Neumann–Kelvin (NK) flow model may be inadequate at a ship waterline. Alternative NM boundary-integral representations of time-harmonic ship waves that are consistent with the previously given NM representation of ship waves in calm water, and yield Fourier–Kochin representations of ship waves that are well suited for numerical computations, are given.

Vorheriger Artikel Semi-explicit solutions to the water-wave dispersion relation and their role in the non-linear Hamiltonian coupled-mode theory

Nächster Artikel Effect of axial diffusion on impurity adsorption in a circular tube

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Titel: Boundary-integral representations for ship motions in regular waves
verfasst von: Jiayi He
Yi Zhu
Huiyu Wu
Chen-Jun Yang
Wei Li
Francis Noblesse
Publikationsdatum: 20.01.2019
Verlag: Springer Netherlands
Erschienen in: Journal of Engineering Mathematics / Ausgabe 1/2019
Print ISSN: 0022-0833
Elektronische ISSN: 1573-2703
DOI: https://doi.org/10.1007/s10665-018-09984-0

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