A Godunov method for the computation of erosional shallow water transients

Authors

  • L. Fraccarollo,

    1. Dipartimento di Costruzioni e Tecnologia Avanzata, Università di Messina, and Dipartimento di Ingegneria Civile e Ambientale, Università degli Studi di Trento, Italy
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  • H. Capart,

    Corresponding author
    1. Department of Civil Engineering, Université catholique de Louvain, and Fonds National de la Recherche Scientifique, Belgium
    Current affiliation:
    1. Department of Civil Engineering, National Taiwan University, Taiwan, ROC
    • Department of Civil Engineering and Hydrotech Research Institute, National Taiwan University, 158 Chow-Shan Rd, Taipei 10617, Taiwan, Republic of China
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  • Y. Zech

    1. Department of Civil Engineering, Université catholique de Louvain, Belgium
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Abstract

A Godunov method is proposed for the computation of open-channel flows in conditions of rapid bed erosion and intense sediment transport. Generalized shallow water equations govern the evolution of three distinct interfaces: the water free-surface, the boundary between pure water and a sediment transport layer, and the morphodynamic bottom profile. Based on the HLL scheme of Harten, Lax and Van Leer (1983), a finite volume numerical solver is constructed, then extended to second-order accuracy using Strang splitting and MUSCL extrapolation. Lateralisation of the momentum flux is adopted to handle the non-conservative product associated with bottom slope. Computational results for erosional dam-break waves are compared with experimental measurements and semi-analytical Riemann solutions. Copyright © 2003 John Wiley & Sons, Ltd.

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