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Erschienen in:
2003 | OriginalPaper | Buchkapitel
Numerical Schemes for 2D Shallow Water Equations with Variable Depth and Friction Effects
verfasst von : Tomás Chacón Rebollo, Antonio Domínguez Delgado, Enrique D. Fernández Nieto
Erschienen in: Mathematical and Numerical Aspects of Wave Propagation WAVES 2003
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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In this work we present a general structure of numerical schemes for 2D Shallow Water Equations with source terms. This family of numerical schemes includes previous extensions to non-homogeneous Shallow Water equations of fluxdifference schemes such as Roe’s and Van Leer’s due to Bermúdez and Vázquez, and other new methods introduced in this work. Also, we introduce the extension of flux-splitting methods such as Vijayasundaram, Steger-Warming, and other new methods of this class. We include in this work a study of linear stability and different numerical tests.