Discontinuous fluctuation distribution

Matthew Hubbard 1 Mario Ricchiuto 2, 3
2 BACCHUS - Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5800
Abstract : This paper proposes an approach to the approximation of time-dependent hyperbolic conservation laws which is both second order accurate in space and time (for any sufficiently smooth solution profile, even one containing turning points) and free of spurious oscillations for any time-step. The numerical algorithm is based on the concept of fluctuation distribution, applied on a space-time mesh of triangular prisms, for which second order accurate schemes already exist which are oscillation-free if the time-step satisfies a CFL-type constraint. This restriction is lifted here by combining the concept of a two-layer scheme with a representation of the solution which is allowed to be discontinuous in time. Numerical results are presented in two space dimensions, using unstructured meshes of space-time triangular prisms, for the scalar advection equation, Burgers' equation and the Euler equations of gasdynamics.
Type de document :
[Research Report] RR-7402, INRIA. 2010
Liste complète des métadonnées

Littérature citée [12 références]  Voir  Masquer  Télécharger

Contributeur : Mario Ricchiuto <>
Soumis le : jeudi 30 septembre 2010 - 17:03:44
Dernière modification le : jeudi 11 janvier 2018 - 06:22:35
Document(s) archivé(s) le : vendredi 31 décembre 2010 - 02:59:23


Fichiers produits par l'(les) auteur(s)


  • HAL Id : inria-00522477, version 1



Matthew Hubbard, Mario Ricchiuto. Discontinuous fluctuation distribution. [Research Report] RR-7402, INRIA. 2010. 〈inria-00522477〉



Consultations de la notice


Téléchargements de fichiers