Numerical Analysis
A consistent intermediate wave speed for a well-balanced HLLC solver
Comptes Rendus. Mathématique, Volume 346 (2008) no. 13-14, pp. 795-800.

In this work, we present a HLLC scheme modification for application to non-homogeneous shallow-water equations with pollutant transport. This new version is related to the definition of a consistent approximation of the intermediate wave speed. Numerical results are presented to illustrate the importance of such approximation to get appropriate pollutant concentration profiles.

Nous présentons une modification du schéma HLLC pour application aux équations de Saint-Venant non homogènes avec transport de polluants. Cette nouvelle version du schéma est reliée à la définition d'une vitesse d'onde intermédiaire consistante. Un exemple est donné afin d'illustrer les conséquences d'une mauvaise approximation de la vitesse intermédiaire sur des résultats de l'approximation de la concentration en polluant même avec un schéma bien équilibré.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2008.05.012
Fernández-Nieto, Enrique D. 1; Bresch, Didier 2; Monnier, Jérôme 3

1 Dpto Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes N. 2, 41012 Sevilla, Spain
2 LAMA, UMR5127 CNRS, Université de Savoie, 73376 Le Bourget du Lac, France
3 LJK – MOISE project-team, INP-Grenoble & INRIA, BP 53, 38041 Grenoble, France
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Fernández-Nieto, Enrique D.; Bresch, Didier; Monnier, Jérôme. A consistent intermediate wave speed for a well-balanced HLLC solver. Comptes Rendus. Mathématique, Volume 346 (2008) no. 13-14, pp. 795-800. doi : 10.1016/j.crma.2008.05.012. http://www.numdam.org/articles/10.1016/j.crma.2008.05.012/

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