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Article Dans Une Revue Comptes Rendus. Mathématique Année : 2012

An analytical solution of Shallow Water system coupled to Exner equation

Résumé

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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Dates et versions

hal-00648343 , version 1 (07-12-2011)

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Christophe Berthon, Stéphane Cordier, Minh H. Le, Olivier Delestre. An analytical solution of Shallow Water system coupled to Exner equation. Comptes Rendus. Mathématique, 2012, 350 (3-4), pp.183-186. ⟨10.1016/j.crma.2012.01.007⟩. ⟨hal-00648343⟩
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