An analytical solution of Shallow Water system coupled to Exner equation

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

10.1016/j.crma.2012.01.007

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.

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