A global approximation to the Green function for diffraction radiation of water waves

DOI10.1016/j.euromechflu.2017.02.008zbMath1408.76092OpenAlexW2594556942MaRDI QIDQ1672176

Peng Zhang

Publication date: 7 September 2018

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.2017.02.008

zbMATH Keywords

Green functionglobal approximationlocal flowdiffraction radiationregular water waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Fundamental solutions to PDEs (35A08)

Related Items (8)

Optimal Fourier-Kochin flow representations in ship and offshore hydrodynamics: theory ⋮ New formulation of the finite depth free surface Green function ⋮ 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 ⋮ Higher-order derivatives of the Green function in hyper-singular integral equations ⋮ The Green function for diffraction and radiation of regular waves by two-dimensional structures ⋮ Practical representation of flows due to general singularity distributions for wave diffraction-radiation by offshore structures in finite water depth ⋮ Machine learning to approximate free-surface Green's function and its application in wave-body interactions ⋮ Diffraction-radiation of regular water waves and irregular frequencies: a straightforward flow-modeling approach and analysis

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