Partial Differential Equations/Numerical Analysis
TVD remeshing formulas for particle methods
Comptes Rendus. Mathématique, Volume 347 (2009) no. 23-24, pp. 1367-1372.

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.

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.

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Accepted:
Published online:
DOI: 10.1016/j.crma.2009.10.009
Cottet, Georges-Henri 1; Magni, Adrien 1

1 Université de Grenoble and CNRS, Laboratoire Jean Kuntzmann, BP 53, Grenoble Cedex 9, France
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Cottet, Georges-Henri; Magni, Adrien. TVD remeshing formulas for particle methods. Comptes Rendus. Mathématique, Volume 347 (2009) no. 23-24, pp. 1367-1372. doi : 10.1016/j.crma.2009.10.009. http://www.numdam.org/articles/10.1016/j.crma.2009.10.009/

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[2] Cottet, G.-H.; Weynans, L. Particle methods revisited: A class of high order finite-difference methods, C. R. Acad. Sci. Paris I, Volume 343 (2006), pp. 51-56

[3] Godlewski, E.; Raviart, P.-A. Numerical Approximation of Hyperbolic Systems of Conservation Laws, Applied Mathematical Sciences, vol. 118, Springer, 1996

[4] A. Magni, G.-H. Cottet, New remeshing formulas for particle methods, in preparation

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