Solitary wave transformation on the underwater step: asymptotic theory and numerical experiments

DOI10.1016/j.amc.2009.10.029zbMath1222.35037OpenAlexW1976747286MaRDI QIDQ609333

Tatiana Talipova, Seung Buhm Woo, Byung Ho Choi, Dong Chule Kim, Efim Pelinovsky

Publication date: 30 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.10.029

zbMATH Keywords

Navier-Stokes equationsKorteweg-de Vries equationBoussinesq systemnumerical modellingwater wavesCADMASFLOW3Dideal and viscous fluid

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) KdV equations (Korteweg-de Vries equations) (35Q53) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

A finite element method for extended KdV equations ⋮ Nonlinear wave dynamics in self-consistent water channels ⋮ Can simple KdV-type equations be derived for shallow water problem with bottom bathymetry? ⋮ Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space ⋮ A Numerical Study of Solitary Wave Interactions with a Bottom Step

Uses Software

• Flow-3D

Cites Work

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