Fluid-Particle simulations with FreeFem++

Aline Lefebvre (1) , Aline Lefebvre-Lepot (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

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.

Domaines: Analyse numérique [math.NA]

Aline Lefebvre, Aline Lefebvre-Lepot. Fluid-Particle simulations with FreeFem++. ESAIM: Proceedings and Surveys, 2017, 18, pp.120-132. ⟨hal-00728387⟩