Author(s): Hossein Mahdizadeh
Linked Author(s):
Keywords: Shallow water equations; Bedload sediment transport; Conservative fluxes; Flux-wave Approach
Abstract: In this paper an efficient finite volume method is presented for simulation of bedload sediment transport within the shallow water domains. The modelling system comprises the shallow water equations for the hydrodynamic behaviour and the Exner equation for the morphodynamic variations. These two systems of equations are then solved using a modified Godunov-type wave propagation method based on the coupled strategy which solves the entire coupled system in a fully hyperbolic conservative form. To maintain the hyperbolicity of the system, a well-known Grass-type bedload transport model is employed. First, the model is used to simulate parabolic sediment layer transportation over a flat bed. Next, the propagation of a sediment hump with a defined subcritical initial condition is considered. It will be shown that the proposed model provides a very good agreement with analytical or reference solutions even for the Courant number relatively close to 1 for the given test cases.
Year: 2015