Geodesic
Fluid-Particle simulations with FreeFem++
Aline Lefebvre1
1 Laboratoire de Mathématiques, Université Paris-Sud, Orsay, France;
ESAIM. Proceedings, Tome 18 (2007), pp. 120-132.

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We present here a method to simulate the motion of rigid particles in a Newtonian fluid. The rigid motion is enforced by penalizing the strain tensor on the rigid domain and the time discretization is performed using the method of characteristics. This leads to a generalized Stokes variational formulation on the whole domain which can easily be implemented from any Finite Element Stokes/Navier-Stokes solver. In order to ensure robustness, we describe a strategy to take collisions into account. To validate the method, simulations implemented with FreeFem++ are presented.
DOI : 10.1051/proc:071810

Aline Lefebvre 1

1 Laboratoire de Mathématiques, Université Paris-Sud, Orsay, France; 
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Aline Lefebvre. Fluid-Particle simulations with FreeFem++. ESAIM. Proceedings, Tome 18 (2007), pp. 120-132. doi : 10.1051/proc:071810. http://geodesic.mathdoc.fr/articles/10.1051/proc:071810/

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