[Schémas de remaillage TDV en méthodes particulaires]
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.
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.
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@article{CRMATH_2009__347_23-24_1367_0,
author = {Cottet, Georges-Henri and Magni, Adrien},
title = {TVD remeshing formulas for particle methods},
journal = {Comptes Rendus. Math\'ematique},
pages = {1367--1372},
publisher = {Elsevier},
volume = {347},
number = {23-24},
year = {2009},
doi = {10.1016/j.crma.2009.10.009},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2009.10.009/}
}
TY - JOUR AU - Cottet, Georges-Henri AU - Magni, Adrien TI - TVD remeshing formulas for particle methods JO - Comptes Rendus. Mathématique PY - 2009 SP - 1367 EP - 1372 VL - 347 IS - 23-24 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2009.10.009/ DO - 10.1016/j.crma.2009.10.009 LA - en ID - CRMATH_2009__347_23-24_1367_0 ER -
%0 Journal Article %A Cottet, Georges-Henri %A Magni, Adrien %T TVD remeshing formulas for particle methods %J Comptes Rendus. Mathématique %D 2009 %P 1367-1372 %V 347 %N 23-24 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2009.10.009/ %R 10.1016/j.crma.2009.10.009 %G en %F CRMATH_2009__347_23-24_1367_0
Cottet, Georges-Henri; Magni, Adrien. TVD remeshing formulas for particle methods. Comptes Rendus. Mathématique, Tome 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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