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Computers and Fluids 33, 5-6 (2004) 801-814
Modeling and simulation of the industrial production of aluminium : the nonlinear approach
Jean-Frédéric Gerbeau 1, Tony Lelievre 2, 3, Claude Le Bris 2, 3
(2004)

We report on the numerical simulation of the industrial production of aluminium. The motion of the two nonmiscible conducting fluids is modeled through the incompressible Navier-Stokes equations coupled with the (parabolic) Maxwell equations. Stabilized finite elements techniques and an arbitrary Lagrangian Eulerian formulation (for the motion of the interface separating the two-fluids) are used in the numerical simulation. The industrial problem and the modeling strategy are presented in details. An outline of the numerical analysis of the problem, with a special emphasis on conservation and stability properties is provided. Examples of numerical simulations of the industrial case are eventually presented.
1:  REO (INRIA Paris-Rocquencourt)
INRIA – Laboratoire Jacques-Louis Lions
2:  Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS)
Ecole des Ponts ParisTech
3:  MICMAC (INRIA Paris - Rocquencourt)
Ecole des Ponts ParisTech – INRIA
Mathematics/Numerical Analysis