RICCHIUTO, Mario

doi:10.1063/1.3636885

Métadonnées

Licence d’utilisation du document

RICCHIUTO, Mario
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
Institut de Mathématiques de Bordeaux [IMB]

Langue

Article de revue

Ce document a été publié dans

AIP Conference Proceedings. 2011, vol. 1389, n° 1, p. 919-922

American Institute of Physics

Résumé en anglais

We describe an explicit residual based discretization of the Shallow Water equations. When based on a continuous polynomial approximation of the unknowns, these discretizations have remarkable properties in terms of preservation of steady equilibria. However, they are also implicit by nature due to the necessity of inverting a mass matrix. Following [Ricchiuto and Abgrall, J.Comput.Phys. 229, 2010], we present an approach to construct genuinely explicit schemes, which simply by properly choosing the approximation space, preserve steady equilibria at the discrete level on unstructured meshes. Numerical examples involving multidimensional perturbations of steady equilibria and wetting/drying are presented.< Réduire

Métadonnées

Partager cette publication !

Licence d’utilisation du document

Explicit Residual Discretizations for Shallow Water Flows

Langue

Ce document a été publié dans

Résumé en anglais

URI

DOI

Origine

Unités de recherche