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On a Sediment Transport Model in Shallow Water Equations with Gravity Effects

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • T. Morales de Morales de Luna

    (Universidad de Córdoba, Dpto. de Matemáticas, Campus de Rabanales)

  • M. J. Castro Díaz

    (Universidad de Málaga, Dpto. Análisis Matemático, Campus de Teatinos)

  • C. Parés Madroñal

    (Universidad de Málaga, Dpto. Análisis Matemático, Campus de Teatinos)

Abstract

Sediment transport by a fluid over a sediment layer can be modeled by a coupled system with a hydrodynamical component, described by a shallow water system, and a morphodynamical component, given by a solid transport flux. Meyer-Peter and Müller developed one of the most known formulae for solid transport discharge, but it has the inconvenient of not including pressure forces. This makes numerical simulations not accurate in zones where gravity effects are relevant, e.g., advancing front of the sand layer. Fowler et al. proposed a generalization that takes into account gravity effects as well as the length of the sediment layer which agrees better to the physics of the problem. We propose to solve this system by using a path-conservative scheme for the hydrodynamical part and a duality method based on Bermudez-Moreno algorithm for the morphodynamical component.

Suggested Citation

  • T. Morales de Morales de Luna & M. J. Castro Díaz & C. Parés Madroñal, 2010. "On a Sediment Transport Model in Shallow Water Equations with Gravity Effects," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 655-661, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_70
    DOI: 10.1007/978-3-642-11795-4_70
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