A two-dimensional method for a family of dispersive shallow water models

DOI10.5802/smai-jcm.66zbMath1452.65221OpenAlexW3087791236MaRDI QIDQ2211430

Edwige Godlewski, Marie-Odile Bristeau, Nora Aïssiouene, Jacques Sainte-Marie, Anne Mangeney-Castelnau, C. Parés-Madroñal

Publication date: 11 November 2020

Published in: SMAI Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/smai-jcm.66

zbMATH Keywords

shallow water flowsdispersive wave propagationdispersive effectsprediction-correction schemetsunami propagationcombined finite volume/finite element technique

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Variational methods applied to PDEs (35A15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Seismology (including tsunami modeling), earthquakes (86A15) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Free boundary problems for PDEs (35R35) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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