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Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

Jean-Frédéric Gerbeau, C. Le Bris, and Tony Lelièvre

Price: £64.00 (hardback)
ISBN-13: 978-0-19-856665-6
Publication date: 31 August 2006
324 pages, 234x156 mm
Series: Numerical Mathematics and Scientific Computation
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Reviews
  • 'a concise formulation of the magnetohydrodynamic theory and simulation methods of liquid metal problems' - Ivan Abonyi, Zentralblatt MATH

Description
  • Approaches the subject in a structured mathematical manner
  • Contains examples of applications to industry
  • Well regarded author team
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, 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.

Contents
Preface
1. The Magnetohydrodynamics Equations
2. Mathematical Analysis of One-fluid Problems
3. Numerical Approximations of One-fluid Problems
4. Mathematical Analysis of Two-fluid Problems
5. Numerical Simulation of Two-fluid Problem
6. MHD Models for One Industrial Application
References
Index

Authors, editors, and contributors


Jean-Frédéric Gerbeau, Institut National de Recherche en Informatique et en Automatique,
C. Le Bris, Ecole Nationale des Ponts et Chaussées, and
Tony Lelièvre, Ecole Nationale des Ponts et Chaussées


Links to web resources and related information
More in the same subject area:
Mathematics for scientists & engineers
Numerical analysis
Physics

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