Communication dans un congrès
Titre :
Solutions to a Riemann problem at a junction of two reaches
Auteurs :
Mouhamadou Samsidy Goudiaby, M. L. Diagne, B. M. Dia
Résumé :
In this paper, we study a Riemann problem at a junction of two reaches. We consider the 1D Saint-Venant equations in each reach combined with particular conditions at the junction of the two reaches. The flow in the canal system is assumed to be subcritical. We have shown under a certain condition that the Riemann problem has a unique solution. However such a condition is not always satisfied, meaning that there are states where no solution to the Riemann problem can be found.
Mots-clés :
Problème de Riemann, Equations de Saint-Venant, Systèmes hyperboliques, Canal à ciel ouvert.
Congrès :
Proceedings, Colloque Africain sur la Recherche en Informatique et en Mathématiques Appliquées (CARI)
Date :
1-4 Octobre 2014
Ville :
Saint-Louis
Pays :
Sénégal
Pages :
pp. 55-62
Date de publication :
October 2014
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