[Une solution analytique du système de Saint-Venant couplé à lʼéquation dʼExner]
Cette Note présente une solution analytique pour le système modélisant le transport de sédiments par le charriage. Cette solution est valable pour une grande famille de lois sédimentaires comme le modèle de Grass ainsi que celui de Meyer-Peter et Müller. Ce résultat est utile pour la validation des schémas numériques.
In this Note, 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 and Müller. One of the main interests of this solution is the derivation of numerical benchmarks to valid the approximation methods.
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@article{CRMATH_2012__350_3-4_183_0,
author = {Berthon, Christophe and Cordier, St\'ephane and Delestre, Olivier and Le, Minh Hoang},
title = {An analytical solution of the shallow water system coupled to the {Exner} equation},
journal = {Comptes Rendus. Math\'ematique},
pages = {183--186},
publisher = {Elsevier},
volume = {350},
number = {3-4},
year = {2012},
doi = {10.1016/j.crma.2012.01.007},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2012.01.007/}
}
TY - JOUR AU - Berthon, Christophe AU - Cordier, Stéphane AU - Delestre, Olivier AU - Le, Minh Hoang TI - An analytical solution of the shallow water system coupled to the Exner equation JO - Comptes Rendus. Mathématique PY - 2012 SP - 183 EP - 186 VL - 350 IS - 3-4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2012.01.007/ DO - 10.1016/j.crma.2012.01.007 LA - en ID - CRMATH_2012__350_3-4_183_0 ER -
%0 Journal Article %A Berthon, Christophe %A Cordier, Stéphane %A Delestre, Olivier %A Le, Minh Hoang %T An analytical solution of the shallow water system coupled to the Exner equation %J Comptes Rendus. Mathématique %D 2012 %P 183-186 %V 350 %N 3-4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2012.01.007/ %R 10.1016/j.crma.2012.01.007 %G en %F CRMATH_2012__350_3-4_183_0
Berthon, Christophe; Cordier, Stéphane; Delestre, Olivier; Le, Minh Hoang. An analytical solution of the shallow water system coupled to the Exner equation. Comptes Rendus. Mathématique, Tome 350 (2012) no. 3-4, pp. 183-186. doi : 10.1016/j.crma.2012.01.007. http://www.numdam.org/articles/10.1016/j.crma.2012.01.007/
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[4] O. Delestre, C. Lucas, P.-A. Ksinant, F. Darboux, C. Laguerre, T.N.T. Vo, F. James, S. Cordier, SWASHES: a library of shallow water analytic solutions for hydraulic and environmental studies, submitted for publication, . | arXiv
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