Three-dimensional gravity and gravity-capillary interfacial flows

DOI10.1016/J.MATCOM.2006.10.018zbMath1108.76016OpenAlexW2035874231MaRDI QIDQ871066

Mark J. Cooker, Emilian I. Părău, Jean-Marc Vanden-Broeck

Publication date: 15 March 2007

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2006.10.018

zbMATH Keywords

boundary integral equation method

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Solitary waves for incompressible inviscid fluids (76B25) Boundary element methods applied to problems in fluid mechanics (76M15)

Related Items (9)

Long-wave transverse instability of interfacial gravity-capillary solitary waves in a two-layer potential flow in deep water ⋮ A Quasi-Planar Model for Gravity-Capillary Interfacial Waves in Deep Water ⋮ Jacobian-free Newton-Krylov methods with GPU acceleration for computing nonlinear ship wave patterns ⋮ Three-dimensional periodic interfacial gravity waves: analytical and numerical results ⋮ The generation of capillary-gravity solitary waves by a surface pressure forcing ⋮ On capillary gravity-wave motion in two-layer fluids ⋮ Nonlinear three-dimensional interfacial flows with a free surface ⋮ Time evolution of three-dimensional nonlinear gravity-capillary free-surface flows ⋮ Weakly nonlinear gravity three-dimensional unbounded interfacial waves: perturbation method and variational formulation

Cites Work

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• Nonlinear two- and three-dimensional free surface flows due to moving disturbances
• Patterns of ship waves
• On interfacial gravity-capillary solitary waves of the Benjamin type and their stability
• Three-dimensional gravity-capillary solitary waves in water of finite depth and related problems
• Numerical computation of capillary–gravity interfacial solitary waves
• On gravity–capillary lumps. Part 2. Two-dimensional Benjamin equation
• Nonlinear three-dimensional gravity–capillary solitary waves
• Ship waves in a stratified ocean

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