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Schéma SRNHS Analyse et Application d'un schéma aux volumes finis dédié aux systèmes non homogènes

Abstract : This article is devoted to the analysis, and improvement of a finite volume scheme proposed recently for a class of non homogeneous systems. We consider those for which the corressponding Riemann problem admits a selfsimilar solution. Some important examples of such problems are Shallow Water problems with irregular topography and two phase flows. The stability analysis of the considered scheme, in the homogeneous scalar case, leads to a new formulation which has a naturel extension to non homogeneous systems. Comparative numerical experiments for Shallow Water equations with sourec term, and a two phase problem (Ransom faucet) are presented to validate the scheme.
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Slah Sahmim, Fayssal Benkhaldoun. Schéma SRNHS Analyse et Application d'un schéma aux volumes finis dédié aux systèmes non homogènes. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2006, Volume 5, Special Issue TAM TAM'05, november 2006, pp.302-316. ⟨10.46298/arima.1870⟩. ⟨hal-01263437⟩

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