Enrique Domingo Fernandez-Nieto: Sediment Transport in Shallow Water Flows: Numerical Approach by High Order Finite Volume Methods



This talk 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&Müller, Van Rijn, Grass model or other models such as that the ones proposed by J. Zabsonré. Both components define a coupled system of equations that can be re-write as a non-conservative hyperbolic system. In the first part of the talks we consider the 1D problem, discretized with high order finite volume methods. In the second part of the talks we consider the 2D problem.

Comparisons with analytical solutions and experimental data will be also presented. Finally, some related problems with erosion/deposition terms will be discused.