Lefebvre, Aline Fluid-particle simulations with FreeFem++. (English) Zbl 1354.76109 ESAIM, Proc. 18, 120-132 (2007). Summary: 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. Cited in 7 Documents MSC: 76M10 Finite element methods applied to problems in fluid mechanics 76T20 Suspensions 76F65 Direct numerical and large eddy simulation of turbulence 76D05 Navier-Stokes equations for incompressible viscous fluids 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs Keywords:particulate flows; fluid-particle flows; direct numerical simulation; penalty method; Navier-Stokes equations; finite-element method; inelastic contacts Software:FreeFem++ PDF BibTeX XML Cite \textit{A. Lefebvre}, ESAIM, Proc. 18, 120--132 (2007; Zbl 1354.76109) Full Text: DOI