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Some Contributions About an Implicit Discretization of a 1D Inviscid Model for River Flows

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • A. Bermúdez de Castro

    (Universidade de Santiago de Compostela, Departamento de Matemática Aplicada)

  • R. Muñoz-Sola

    (Universidade de Santiago de Compostela, Departamento de Matemática Aplicada)

  • C. Rodríguez

    (Universidade de Santiago de Compostela, Departamento de Matemática Aplicada)

  • M. Ángel Vilar

    (Universidade de Santiago de Compostela, Departamento de Matemática Aplicada)

Abstract

We consider a 1D inviscid model to simulate river or channel flows with variable cross section. Let Ω(x, t) be the wet section of the river at point x and time t. We denote by h(x, t) the height of water from the lowest point of this section and by b(x) the height of this point with respect to a fixed reference. We put η(x, t) = h(x, t) + b(x) (see Fig.1).

Suggested Citation

  • A. Bermúdez de Castro & R. Muñoz-Sola & C. Rodríguez & M. Ángel Vilar, 2008. "Some Contributions About an Implicit Discretization of a 1D Inviscid Model for River Flows," Springer Books, in: Sylvie Benzoni-Gavage & Denis Serre (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 765-773, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75712-2_78
    DOI: 10.1007/978-3-540-75712-2_78
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