ABGRALL, Remi; LARAT, Adam; RICCHIUTO, Mario

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

LARAT, Adam
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]

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Ce document a été publié dans

2010-03-17p. 60

Résumé en anglais

In this paper we consider the very high order approximation of solutions of the Euler equations. We present a systematic generalization of the Residual Distribution method of \cite{ENORD} to very high order of accuracy, by extending the preliminary work discussed in \cite{abgrallLarat} to systems and hybrid meshes. We present extensive numerical validation for the third and fourth order cases with Lagrange finite elements. In particular, we demonstrate that we an both have a non oscillatory behavior, even for very strong shocks and complex flow patterns, and the expected accuracy on smooth problems.< Réduire

URI

https://oskar-bordeaux.fr/handle/20.500.12278/190156

Projet Européen

Adaptive Schemes for Deterministic and Stochastic Flow Problems

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Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251