Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry

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DOI10.1006/jcph.1998.6127zbMath0931.76055OpenAlexW2065852546MaRDI QIDQ1282431

María Elena Vázquez-Cendón

Publication date: 30 March 1999

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1998.6127

zbMATH Keywords

Saint-Venant equations conservation property locally rectangular cross-section low-order asymptotic unsteady analytical solution small Froude numbers tidal propagation van Leer-Roe \(Q\)-scheme

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 volume methods applied to problems in fluid mechanics (76M12)

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