A high-order spectral method for nonlinear wave–body interactions

DOI10.1017/S0022112092000375zbMath0786.76008MaRDI QIDQ4033439

Dick K. P. Yue, Yuming Liu, Douglas Dommermuth

Publication date: 16 May 1993

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

convergencefree surfacepseudospectral methodsnonlinear boundary conditionscylinderreflection and transmission coefficientsStokes wavesflow potentialeffective potential sourcefast transform techniques

Mathematics Subject Classification ID

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Cites Work

• On a vortex sheet approach to the numerical calculation of water waves
• On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions
• A numerical solution of the second-order wave-diffraction problem for a submerged cylinder of arbitrary shape
• A high-order spectral method for the study of nonlinear gravity waves
• Deep-water plunging breakers: a comparison between potential theory and experiments
• Stability of weakly nonlinear deep-water waves in two and three dimensions
• Computer extension and analytic continuation of Stokes’ expansion for gravity waves
• Numerical simulation of incompressible flows within simple boundaries: accuracy
• First- and second-order forces on a cylinder submerged under a free surface
• Non-linear gravity wave interactions

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