An analytical solution of Shallow Water system coupled to Exner equation

Abstract

In this paper, an exact smooth solution for the equations modeling the bedload transport of sediment in Shallow Water is presented. This solution is valid for a large family of sedimentation laws which are widely used in erosion modeling such as the Grass model or those of Meyer-Peter & Muller. One of the main interest of this solution is the derivation of numerical benchmarks to valid the approximation methods.

Cited by in corpus (2)

• Efficient analytical implementation of the DOT Riemann solver for the de Saint Venant-Exner morphodynamic model
• Parallelization of a relaxation scheme modelling the bedload transport of sediments in shallow water flow