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Comptes Rendus Mathématique
Volume 347, n° 23-24
pages 1367-1372 (décembre 2009)
Doi : 10.1016/j.crma.2009.10.009
Received : 14 September 2009 ;  accepted : 8 October 2009
TVD remeshing formulas for particle methods
Schémas de remaillage TDV en méthodes particulaires
 

Georges-Henri Cottet , Adrien Magni
Université de Grenoble and CNRS, Laboratoire Jean Kuntzmann, BP 53, Grenoble Cedex 9, France 

Abstract

We derive TVD remeshing formulas for particle methods. The derivation is inspired from a finite-difference analysis but the method retains the essential features of particle methods. Numerical illustrations give evidence of the improved stability and computational cost resulting from these new algorithms. To cite this article: G.-H. Cottet, A. Magni, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.
Résumé

On décrit dans cette Note des techniques de remaillage TVD pour les méthodes particulaires, en s’insipirant de la méthodologie des schémas de différences finies. Des exemples numériques montrent les gains obtenus par ces nouveaux algorithmes tant en stabilité qu’en coût de calcul. Pour citer cet article : G.-H. Cottet, A. Magni, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.


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