A consistent intermediate wave speed for a well-balanced HLLC solver

Enrique D. Fernandez-Nieto (1) , Didier Bresch (2, 3) , Jerome Monnier (3)

1 IMUS - Departamento de Matemática Aplicada I
2 LAMA - Laboratoire de Mathématiques
3 MOISE - Modelling, Observations, Identification for Environmental Sciences

In this work, we present a HLLC scheme modification for application to nonhomogeneous 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.

Domaines: Analyse numérique [math.NA]

Enrique D. Fernandez-Nieto, Didier Bresch, Jerome Monnier. A consistent intermediate wave speed for a well-balanced HLLC solver. Comptes Rendus. Mathématique, 2008, 346 (13-14), pp.795-800. ⟨10.1016/j.crma.2008.05.012⟩. ⟨hal-00380678⟩