Journal
APPLIED MATHEMATICAL MODELLING
Volume 36, Issue 10, Pages 4847-4861Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2011.11.088
Keywords
Suspended sediment; Shallow water equations; Finite volume method; Flux-limiter; Erosion; Dam-break flows
Funding
- Centre National de la Recherche Scientifique (CNRS) [209821]
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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. (C) 2011 Elsevier Inc. All rights reserved.
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