Decoupled solution of the sediment transport and 2D shallow water equations using the finite volume method

Abstract

In this paper was successfully implemented a numerical solution of the sediment transport and 2D shallow water equations using the decoupled approach. Different discharge formulas to approximate the solid discharge of the sediment were used. The flow field was calculated by solving the shallow water equations and was discretized using the finite volume method; the Godunov's method along with the Roe's Riemann solver was used to approximate the numerical fluxes. The sediment transport was modeled with the Exner equation which was discretized using the Roe's scheme and the finite volume method. In addition, it was proposed an algorithm to guarantee the mass balance in the whole domain for water and sediment at all time steps. The results were compared with experimental measurements reported by other authors to validate the implemented solution.