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Finite Volume Methods

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Shallow Water Hydraulics

Abstract

The one-dimensional shallow water equations (SWE), or Saint-Venant equations, are a system of nonlinear hyperbolic conservations laws (Toro, Shock-capturing methods for free surface shallow flows. Wiley, Singapore, 2001). The mathematical meaning behind these “surnames” linked to the development of Saint-Venant is clearly elucidated by the definitions (Karni, Lecture notes on numerical methods for hyperbolic equations: short book course. Taylor and Francis, London, 2011; Vazquez-Cendón, Solving hyperbolic equations with finite. Springer, New York, 2015).

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Authors and Affiliations

  1. University of Córdoba, Córdoba, Spain

    Oscar Castro-Orgaz

  2. VAW, ETH Zürich, Zürich, Switzerland

    Willi H. Hager

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  1. Oscar Castro-Orgaz
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  2. Willi H. Hager
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Correspondence to Oscar Castro-Orgaz .

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Castro-Orgaz, O., Hager, W.H. (2019). Finite Volume Methods. In: Shallow Water Hydraulics. Springer, Cham. https://doi.org/10.1007/978-3-030-13073-2_9

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