Numerical simulation of gluey particles
Lefebvre, Aline
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 43 (2009), p. 53-80 / Harvested from Numdam

We propose here a model and a numerical scheme to compute the motion of rigid particles interacting through the lubrication force. In the case of a particle approaching a plane, we propose an algorithm and prove its convergence towards the solutions to the gluey particle model described in [B. Maury, ESAIM: Proceedings 18 (2007) 133-142]. We propose a multi-particle version of this gluey model which is based on the projection of the velocities onto a set of admissible velocities. Then, we describe a multi-particle algorithm for the simulation of such systems and present numerical results.

Publié le : 2009-01-01
DOI : https://doi.org/10.1051/m2an/2008042
Classification:  65L20,  74F10,  76T20
@article{M2AN_2009__43_1_53_0,
     author = {Lefebvre, Aline},
     title = {Numerical simulation of gluey particles},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {43},
     year = {2009},
     pages = {53-80},
     doi = {10.1051/m2an/2008042},
     mrnumber = {2494794},
     zbl = {1163.76056},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2009__43_1_53_0}
}
Lefebvre, Aline. Numerical simulation of gluey particles. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 43 (2009) pp. 53-80. doi : 10.1051/m2an/2008042. http://gdmltest.u-ga.fr/item/M2AN_2009__43_1_53_0/

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