A flux-limiter method for dam-break flows over erodible sediment beds |
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Authors: | Fayssal Benkhaldoun Saida Sari Mohammed Seaid |
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Institution: | 1. LAGA, Université Paris 13, 99 Av J.B. Clement, 93430 Villetaneuse, France;2. School of Engineering and Computing Sciences, University of Durham, South Road, Durham DH1 3LE, UK |
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Abstract: | Finite volume methods for dam-break flows over erodible sediment beds require a monotone numerical flux. In the present study we present a new flux-limiter scheme based on the Lax–Wendroff method coupled with a non-homogeneous Riemann solver and a flux limiter function. The non-homogeneous Riemann solver consists of a predictor stage for the discretization of gradient terms and a corrector stage for the treatment of source terms. The proposed method satisfy the conservation property such that the discretization of the flux gradients and the source terms are well-balanced in the numerical solution of suspended sediment models. The flux-limiter method provides accurate results avoiding numerical oscillations and numerical dissipation in the approximated solutions. Several standard test examples are considered to verify the performance and the accuracy of the proposed method. |
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Keywords: | Suspended sediment Shallow water equations Finite volume method Flux-limiter Erosion Dam-break flows |
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