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Modeling and simulation of the industrial production of aluminium : the nonlinear approach

Jean-Frédéric Gerbeau 1 Tony Lelièvre 2, 3 Claude Le Bris 2, 3
1 BANG - Nonlinear Analysis for Biology and Geophysical flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt
2 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
3 MICMAC - Methods and engineering of multiscale computing from atom to continuum
Inria Paris-Rocquencourt, ENPC - École des Ponts ParisTech
Abstract : 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.
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https://hal.inria.fr/hal-00695952
Contributor : Jean-Frédéric Gerbeau <>
Submitted on : Thursday, May 10, 2012 - 12:42:13 PM
Last modification on : Friday, March 27, 2020 - 3:16:46 AM

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INRIA | INSMI | PARISTECH | CERMICS | ENPC | LJLL | UPMC | CNRS | TDS-MACS | SORBONNE-UNIVERSITE | UNIV-PARIS7 | USPC | SU-SCIENCES | UNIV-PARIS

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Jean-Frédéric Gerbeau, Tony Lelièvre, Claude Le Bris. Modeling and simulation of the industrial production of aluminium : the nonlinear approach. Computers and Fluids, Elsevier, 2004, 33 (5-6), pp.801-814. ⟨10.1016/j.compfluid.2003.06.013⟩. ⟨hal-00695952⟩

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