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Finite Volume Methods

In: Shallow Water Hydraulics

Author

Listed:
  • Oscar Castro-Orgaz

    (University of Córdoba)

  • Willi H. Hager

    (VAW, ETH Zürich)

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).

Suggested Citation

  • Oscar Castro-Orgaz & Willi H. Hager, 2019. "Finite Volume Methods," Springer Books, in: Shallow Water Hydraulics, chapter 9, pages 347-415, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-13073-2_9
    DOI: 10.1007/978-3-030-13073-2_9
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