New formulation of the finite depth free surface Green function

DOI10.1007/s10665-020-10058-3zbMath1454.76020arXiv1808.07754OpenAlexW3048419192MaRDI QIDQ2212089

Zhi Min Chen

Publication date: 18 November 2020

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07754

zbMATH Keywords

damping coefficientpotential flowadded mass coefficientHess-Smith methodradiation wave

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (1)

Practical representation of flows due to general singularity distributions for wave diffraction-radiation by offshore structures in finite water depth

Cites Work

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• The analytic solution for hydrodynamic diffraction by submerged prolate spheroids in infinite water depth
• Algorithms for the free-surface Green function
• The Green function in the theory of radiation and diffraction of regular water waves by a body
• The potential of a Rankine source between parallel planes and in a rectangular cylinder
• Free-surface wave damping due to viscosity and surfactants.
• A global approximation to the Green function for diffraction radiation of water waves
• The eigenfunction expansion of the infinite depth free surface Green function in three dimensions
• Regular wave integral approach to numerical simulation of radiation and diffraction of surface waves
• Surface Waves
• Three-dimensional desingularized boundary integral methods for potential problems
• Waves due to a floating sphere making periodic heaving oscillations
• The calculation of Green's functions in three dimensional hydrodynamic gravity wave problems
• The exciting force on a submerged spheroid in regular waves
• Irregular frequencies and the motion of floating bodies
• The wave forces acting on a floating hemisphere undergoing forced periodic oscillations
• Rapidly convergent representations for Green' functions for Laplace' equation
• AN EXTENDED BOUNDARY INTEGRAL EQUATION METHOD FOR THE REMOVAL OF IRREGULAR FREQUENCY EFFECTS
• Removing the irregular frequencies from integral equations in wave-body interactions
• ON THE HEAVING MOTION OF A CIRCULAR CYLINDER ON THE SURFACE OF A FLUID

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