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Direct simulations of 2D fluid-particle flows in biperiodic domains. (English) Zbl 0958.76045
From the summary: We simulate the motion of two-dimensional rigid particles in a viscous incompressible fluid. Within the arbitrary Lagrangian-Eulerian framework, momentum equations for both the fluid and the particles are discretized, and a coupled variational formulation is established. By introducing an appropriate finite element approximation, we obtain symmetric linear system. This system is solved by an inexact Uzawa algorithm. The main interest of such simulations lies in the average behaviour of a high number of particles. We therefore introduced a biperiodic formulation of the problem, which makes it possible to represent many-body mixtures at a reasonable computational cost.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76T20 Suspensions
76D05 Navier-Stokes equations for incompressible viscous fluids
76M30 Variational methods applied to problems in fluid mechanics
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