An efficient numerical scheme for the shallow water equations

DOI10.1080/00207169308804206zbMath0791.76057OpenAlexW2015598781WikidataQ126244306 ScholiaQ126244306MaRDI QIDQ4285657

P. Glaister

Publication date: 11 July 1994

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169308804206

zbMATH Keywords

flux difference splittinglinearized problemaverageupwind differencingflux limiterdam-break problemnumerical characteristic decomposition

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

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• An approximate linearised Riemann solver for the Euler equations for real gases
• Approximate Riemann solvers, parameter vectors, and difference schemes
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws

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