An analytical solution of Shallow Water system coupled to Exner equation
Analysis of PDEs
2012-01-26 v1
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.
Keywords
Cite
@article{arxiv.1112.1582,
title = {An analytical solution of Shallow Water system coupled to Exner equation},
author = {Christophe Berthon and Stéphane Cordier and Minh H. Le and Olivier Delestre},
journal= {arXiv preprint arXiv:1112.1582},
year = {2012}
}