Slah SAHMIM ; Fayssal Benkhaldoun - Schéma SRNHS Analyse et Application d'un schéma aux volumes finis dédié aux systèmes non homogènes

arima:1870 - Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, September 27, 2006, Volume 5, Special Issue TAM TAM'05, november 2006 - https://doi.org/10.46298/arima.1870
Schéma SRNHS Analyse et Application d'un schéma aux volumes finis dédié aux systèmes non homogènes

Authors: Slah SAHMIM ; Fayssal Benkhaldoun

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.


Volume: Volume 5, Special Issue TAM TAM'05, november 2006
Published on: September 27, 2006
Submitted on: March 27, 2006
Keywords: Finite volume method, Shallow water equations, Source terms, Riemann Problems, Two-phase flow, System of conservation Laws.,Méthodes des volumes finis,Equation de saint-Venant,terme de source,Problème de Riemann,Problème diphasiques,loi de conservation,[MATH] Mathematics [math],[INFO] Computer Science [cs]


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