Geodesic
Numerical simulation of gluey particles
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 1, pp. 53-80

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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.

DOI : 10.1051/m2an/2008042
Classification : 65L20, 74F10, 76T20
Keywords: fluid/particle systems, fluid/solid interaction, lubrication force, contacts, Stokes fluid 
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     title = {Numerical simulation of gluey particles},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {53--80},
     publisher = {EDP-Sciences},
     volume = {43},
     number = {1},
     year = {2009},
     doi = {10.1051/m2an/2008042},
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     zbl = {1163.76056},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2008042/}
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Lefebvre, Aline. Numerical simulation of gluey particles. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 1, pp. 53-80. doi: 10.1051/m2an/2008042

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