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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.
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https://hal.archives-ouvertes.fr/hal-00648343
Contributor : Minh-Hoang Le Connect in order to contact the contributor
Submitted on : Wednesday, December 7, 2011 - 9:59:09 AM
Last modification on : Sunday, November 27, 2022 - 2:48:05 PM
Long-term archiving on: : Friday, November 16, 2012 - 2:35:34 PM

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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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