[Une vitesse de propogation intermédiaire consistante pour un schéma HLLC bien équilibré]
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.
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.
Accepté le :
Publié le :
Enrique D. Fernández-Nieto 1 ; Didier Bresch 2 ; Jérôme Monnier 3
@article{CRMATH_2008__346_13-14_795_0,
author = {Enrique D. Fern\'andez-Nieto and Didier Bresch and J\'er\^ome Monnier},
title = {A consistent intermediate wave speed for a well-balanced {HLLC} solver},
journal = {Comptes Rendus. Math\'ematique},
pages = {795--800},
publisher = {Elsevier},
volume = {346},
number = {13-14},
year = {2008},
doi = {10.1016/j.crma.2008.05.012},
language = {en},
}
TY - JOUR AU - Enrique D. Fernández-Nieto AU - Didier Bresch AU - Jérôme Monnier TI - A consistent intermediate wave speed for a well-balanced HLLC solver JO - Comptes Rendus. Mathématique PY - 2008 SP - 795 EP - 800 VL - 346 IS - 13-14 PB - Elsevier DO - 10.1016/j.crma.2008.05.012 LA - en ID - CRMATH_2008__346_13-14_795_0 ER -
%0 Journal Article %A Enrique D. Fernández-Nieto %A Didier Bresch %A Jérôme Monnier %T A consistent intermediate wave speed for a well-balanced HLLC solver %J Comptes Rendus. Mathématique %D 2008 %P 795-800 %V 346 %N 13-14 %I Elsevier %R 10.1016/j.crma.2008.05.012 %G en %F CRMATH_2008__346_13-14_795_0
Enrique D. Fernández-Nieto; Didier Bresch; Jérôme Monnier. 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. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.05.012/
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