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Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

Jean-Frédéric Gerbeau, Claude Le Bris, and Tony Lelièvre


This text focuses on mathematical and numerical techniques for the simulation of magnetohydrodynamic phenomena, with an emphasis on the magnetohydrodynamics of liquid metals, on two-fluid flows, and on a prototypical industrial application. The approach is a highly mathematical one, based on the rigorous analysis of the equations at hand, and a solid numerical analysis of the discretization methods. Up-to-date techniques, both on the theoretical side and the numerical side, are introduced to deal with the nonlinearities of the multifluid magnetohydrodynamics equations. At each stage of the exp ... More

Keywords: free surface flow, Arbitrary Lagrangian Eulerian method, aluminium electrolysis, multifluid flows, Navier-Stokes equations, Maxwell equations

Bibliographic Information

Print publication date: 2006 Print ISBN-13: 9780198566656
Published to Oxford Scholarship Online: September 2007 DOI:10.1093/acprof:oso/9780198566656.001.0001


Affiliations are at time of print publication.

Jean-Frédéric Gerbeau, author
Institut National de Recherche en Informatique et en Automatique, France

Claude Le Bris, author
Ecole Nationale des Ponts et Chaussées, France

Tony Lelièvre, author
Ecole Nationale des Ponts et Chaussées, France