Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

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. a concise formulation of the magnetohydrodynamic theory and simulation methods of liquid metal problems Ivan Abonyi, Zentralblatt MATHPreface; 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