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Well-balanced Finite Volume schemes: some stability and convergence results


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Opened Access Well-balanced Finite Volume schemes: some stability and convergence results
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Author: Chacón Rebollo, Tomás
Domínguez Delgado, Antonio
Fernández-Nieto, Enrique D.
Coordinator/Director: Palacios Latasa, Manuel Pedro
Trujillo, David
Torrens Iñigo, Juan José
Madaune-Tort, Monique
López de Silanes Busto, María Cruz
Sanz Sáiz, Gerardo
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2003
Published in: VIII Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques :Jaca, Spain, September 15-17, 2003
ISBN/ISSN: 8477337209
Document type: Chapter of Book
Abstract: We report a stability and convergence analysis for some simplified well-balanced Finite Volume solvers of Hyperbolic Systems of Conservation Laws. These are specific solvers, recently introduced, that balance all steady solutions up to second order of accuracy by means of an additional numerical source term. We prove the stability and convergence of some of these solvers for scalar hyperbolic equations under reasonable conditions on the additional term.
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