A High-Order Well-Balanced Central Scheme for the Shallow Water Equations in Channels with Irregular Geometry

DOI10.1007/978-3-319-06953-1_22zbMath1426.76332OpenAlexW395416622MaRDI QIDQ3448890

Francisco José Vallés-Morán, Beatriz Nácher-Rodríguez, A. Balaguer-Beser, Ignacio Andrés-Doménech, M. T. Capilla

Publication date: 27 October 2015

Published in: Advances in Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-06953-1_22

zbMATH Keywords

shallow water equations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12)

Cites Work

• A Godunov-type scheme for modelling 1D channel flow with varying width and topography
• Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
• A new well-balanced non-oscillatory central scheme for the shallow water equations on rectangular meshes
• On the accuracy of one-dimensional models of steady converging/diverging open channel flows
• An accurate and efficient semi-implicit method for section-averaged free-surface flow modelling
• On some fast well-balanced first order solvers for nonconservative systems
• Central Schemes for Nonconservative Hyperbolic Systems

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