On the C-property and generalized C-property of Residual Distribution for the Shallow Water equations
RICCHIUTO, Mario
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
Institut de Mathématiques de Bordeaux [IMB]
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
Institut de Mathématiques de Bordeaux [IMB]
RICCHIUTO, Mario
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
Institut de Mathématiques de Bordeaux [IMB]
< Réduire
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
Institut de Mathématiques de Bordeaux [IMB]
Langue
en
Article de revue
Ce document a été publié dans
Journal of Scientific Computing. 2010
Springer Verlag
Résumé en anglais
In this paper we consider the discretization the Shallow Water equa- tions by means of Residual Distribution (RD) schemes, and review the condi- tions allowing the exact preservation of some exact steady solutions. These ...Lire la suite >
In this paper we consider the discretization the Shallow Water equa- tions by means of Residual Distribution (RD) schemes, and review the condi- tions allowing the exact preservation of some exact steady solutions. These conditions are shown to be related to both the type of spatial approximation and to the quadrature used to evaluate the cell residual. Numerical examples are shown to validate the theory.< Réduire
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