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

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

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