Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

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 rig...

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Bibliographic Details
Main Authors Gerbeau, Jean-Frédéric, Le Bris, Claude, Lelièvre, Tony
Format eBook
LanguageEnglish
Published Oxford Oxford University Press 2006
Oxford University Press, Incorporated
Edition1
SeriesNumerical Mathematics and Scientific Computation
Subjects
Liquid metals
Magnetohydrodynamics
Mathematical and Statistical Physics
Mathematics
multifluid flows
aluminium electrolysis
Arbitrary Lagrangian Eulerian method
free surface flow
Maxwell equations
Navier-Stokes equations
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Summary: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 exposition, examples of numerical simulations are provided, first on academic test cases to illustrate the approach, next on benchmarks well documented in the professional literature, and finally on real industrial cases. The simulation of aluminium electrolysis cells is used as a guideline throughout the book to motivate the study of a particular setting of the magnetohydrodynamics equations.
ISBN:0198566654
9780198566656
DOI:10.1093/acprof:oso/9780198566656.001.0001