Practical flow-representations for arbitrary singularity-distributions in ship and offshore hydrodynamics, with applications to steady ship waves and wave diffraction-radiation by offshore structures

DOI10.1016/j.euromechflu.2020.04.001zbMath1477.76022OpenAlexW3016230353MaRDI QIDQ2022847

Chen-Jun Yang, Huiyu Wu, Jiayi He, Ren-Chuan Zhu, Francis Noblesse

Publication date: 30 April 2021

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2020.04.001

zbMATH Keywords

singularity distributionGreen function methodFourier-Kochin methodship wavelocal flow approach

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Ship waves (76B20) Free-surface potential flows for incompressible inviscid fluids (76B07)

Related Items (6)

Practical evaluation of flows due to arbitrary singularity distributions in the 3D theory of ship motions in regular waves at \(0.3 \leq \tau \) ⋮ Optimal Fourier-Kochin flow representations in ship and offshore hydrodynamics: theory ⋮ An alternative linear flow model and boundary integral flow representation for ship motions in regular waves ⋮ Practical evaluation of flows due to arbitrary singularity distributions in the 3D theory of ship motions in regular waves at \(\tau < 1 \slash 4\) ⋮ Practical representation of flows due to general singularity distributions for wave diffraction-radiation by offshore structures in finite water depth ⋮ Boundary-integral representation sans waterline integral for flows around ships steadily advancing in calm water

Cites Work

• The Neumann-Michell theory of ship waves
• Straightforward approximation of the translating and pulsating free surface Green function
• Practical mathematical representation of the flow due to a distribution of sources on a steadily advancing ship hull
• Alternative integral representations for the Green function of the theory of ship wave resistance
• The Green function in the theory of radiation and diffraction of regular water waves by a body
• Errors due to a practical Green function for steady ship waves
• A global approximation to the Green function for diffraction radiation of water waves
• Nonlinear corrections of linear potential-flow theory of ship waves
• Boundary integral representations of steady flow around a ship
• Numerical implementation and validation of the Neumann-Michell theory of ship waves
• Integral identities of potential theory of radiation and diffraction of regular water waves by a body
• Froude number, hull shape, and convergence of integral representation of ship waves
• Boundary-integral representations for ship motions in regular waves
• Regular wave integral approach to numerical simulation of radiation and diffraction of surface waves
• Elementary water waves

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