Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods
By Manuel Jesús Castro Díaz, Enrique Domingo Fernández-Nieto, Ana M. Ferreiro. 2008
181 citations recorded by the source corpus.
Abstract This paper is concerned with the numerical approximation of bedload sediment transport due to water evolution. For the hydrodynamical component we consider Shallow Water equations. The morphodynamical component is defined by a continuity equation, which is defined in function of the solid transport discharge. We present several deterministic models, such as Meyer-Peter & Muller, Van Rijn or Grass model. We also present an unified definition for the solid transport discharge, and we compare with Grass model. Both components define a coupled system of equations that can be rewrite as a non-conservative hyperbolic system. To discretize it, we consider finite volume methods with or without flux limiters and high order state reconstructions. Finally we present several tests, where we observe numerically the order of the numerical schemes. Comparisons with analytical solutions and experimental data are also presented.
Subfields: Computational Mechanics, Ecology
View Paper: https://www.semanticscholar.org/paper/0b92b92009d024b025687e1f232612c4b7bb5575
How researchers see this paper
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In Computational Mechanics
- Michael Dumbser
- Eleuterio F. Toro
- Annunziato Siviglia
- A. Canestrelli
- Dani Or
- Wolfgang Nowak
- Chi-Wang Shu
- Martin Käser
In Ecology
- Budiman Minasny
- Alex B. McBratney
- Jasper A. Vrugt
- Philippe C. Baveye
- S. Allison
- Yakov A. Pachepsky
- Dani Or
- Annunziato Siviglia
Citations in the corpus
- Well-Balanced High-Order Centred Schemes for Non-Conservative Hyperbolic Systems. Applications to Shallow Water Equations with Fixed and Mobile Bed (2009, methodology): “Several numerical solutions have been proposed in literature for this problem [3,4].”
- Modeling Soil Processes: Review, Key Challenges, and New Perspectives (2016, methodology): “…of the multiscale nature of erosion, one can either focus on the microscale and consider soil particle detachment by rain splash and sediment transport using a process-based approach (Eckern, 1950; Rose, 1960; Lane, 1982; Diaz et al., 2008) or use an empirical macroscale approach (Pelletier, 2012).”