Boundary integral method applied to the transient, nonlinear wave propagation in a fluid with initial free surface elevation

DOI10.1016/S0307-904X(99)00054-2zbMath0997.76055OpenAlexW2053110952MaRDI QIDQ5950146

Helal, Mohamed Atef, Moustafa S. Abou-Dina

Publication date: 2000

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(99)00054-2

zbMATH Keywords

analytical solutionlinearized problemhomogeneous fluid massnonlinear wave propagation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Boundary element methods applied to problems in fluid mechanics (76M15)

Related Items (5)

Boundary integral method applied to the propagation of non-linear gravity waves generated by a moving bottom ⋮ Multiple wave scattering by submerged obstacles in an infinite channel of finite depth. I: Streamlines ⋮ Implicit formulation with the boundary element method for nonlinear radiation of water waves ⋮ An unsteady 3D isogeometrical boundary element analysis applied to nonlinear gravity waves ⋮ Approximate determination of the transmission and reflection coefficients for water-wave flow over a topography

Cites Work

• Several new types of finite-difference schemes for shallow-water equation with initial-boundary value and their numerical experiment
• Asymptotic stability of the fundamental solution method
• The method of fundamental solutions for elliptic boundary value problems
• Reduction for the nonlinear problem of fluid waves to a system of integro-differential equations with an oceanographical application
• On the boundary integral formulation of the plane theory of elasticity with applications (analytical aspects)
• On the numerical stability of the method of fundamental solution applied to the Dirichlet problem
• A Quadratically Convergent Newton-Like Method Based Upon Gaussian Elimination
• The Korteweg-de Vries equation and water waves. Solutions of the equation. Part 1
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