Mathematical
methods for
the Magnetohydrodynamics of liquid metals
J-F. Gerbeau, C. Le Bris and T.
Lelièvre
324 pp., Numerical Mathematics
and Scientific
Computation, Oxford University Press, 2006.
This comprehensive text focuses on mathematical and numerical
techniques for the simulation of magnetohydrodynamic phenomena, with an
emphasis laid on the magnetohydrodynamics
of liquid metals, on two-fluid
flows and on a
prototypical industrial application.
Aimed at research mathematicians,
engineers, and physicists, as well as those working in industry, and
starting from a good understanding of the physics at play, the approach
is a highly mathematical one, based on the rigorous analysis of the
equations at hand, and a solid numerical analysis to found the
simulations. 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, whenever possible, on real industrial cases.
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