Combined characteristics and finite volume methods for sediment transport and bed morphology in surface water flows

Fayssal Benkhaldoun and Mohammed Seaïd

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 10, 2073-2086

Abstract: We propose a new numerical method for solving the equations of coupled sediment transport and bed morphology by free-surface water flows. The mathematical formulation of these models consists of the shallow water equations for the hydraulics, an advection equation for the transport of sediment species, and an Exner equation for the bedload transport. The coupled problem forms a one-dimensional hyperbolic system of conservation laws with geometric source terms. The proposed numerical method combines the method of characteristics with a finite volume discretization of the system. The combined method is simple to implement and accurately resolves the governing equations without relying on Riemann problem solvers. Numerical results are presented for several test examples on sediment transport and bed morphology by free-surface water flows.

Keywords: Shallow water equations; Sediment transport; Bed morphology; Finite volume scheme; Method of characteristics (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:10:p:2073-2086

DOI: 10.1016/j.matcom.2010.12.025

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