Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
Author: Jean-Frédéric Gerbeau
Publisher: Numerical Mathematics and Scie
Total Pages: 325
Release: 2006-08-31
Genre: Language Arts & Disciplines
ISBN: 0198566654

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 theequations 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, wheneverpossible, on real industrial cases.

Liquid Metal Magnetohydrodynamics

Liquid Metal Magnetohydrodynamics
Author: J.J. Lielpeteris
Publisher: Springer Science & Business Media
Total Pages: 454
Release: 2012-12-06
Genre: Science
ISBN: 9400909993

Liquid metal MHO is within the scope of two series of international conferences. One is the International Congress on "MHD Power Generation", held every four years, which includes technical and economical aspects as well as scientific questions. The other if the Beer-Sheva Seminar on "MHO Flows and Turbulence", held every three years in Israel. In addition to these well established meetings, an IUTAM Symposium was previously organized in Cambridge (UK) in 1982 on "Metallurgical Applications of MHD" by the late Arthur Shercliff. It was focussed on a very specific subject developing radiply from the middle of the 1970's. The magnetic field was generally AC, including frequencies high enough for the skin-depth to be much smaller than the typical length scale of the liquide pool. And the development of new technologies, or the improvement of existing ones, was the main justification of most of the researches presented and discussed. Only two participants from Eastern countries attended this Symposium. By the middle of the 1980's we felt that on this very same topic ideas had reached much more maturity than in 1982. We also realized that a line of research on MHD flows related to fusion reactors (tokamaks) was developing significantly, with particular emphasis on flows at large interaction parameter.

An Introduction to Magnetohydrodynamics

An Introduction to Magnetohydrodynamics
Author: P. A. Davidson
Publisher: Cambridge University Press
Total Pages: 452
Release: 2001-03-05
Genre: Science
ISBN: 9780521791496

Magnetic fields are routinely used in industry to heat, pump, stir and levitate liquid metals. There is the terrestrial magnetic field that is maintained by fluid motion in the earth's core, the solar magnetic field, which generates sunspots and solar flares, and the galactic field that influences the formation of stars. This introductory text on magnetohydrodynamics (MHD) (the study of the interaction of magnetic fields and conducting fluids) is intended to serve as an introductory text for advanced undergraduates and graduate students in physics, applied mathematics and engineering. The material in the text is heavily weighted toward incompressible flows and to terrestrial (as distinct from astrophysical) applications. The final sections of the text, which outline the latest advances in the metallurgical applications of MHD, make the book of interest to professional researchers in applied mathematics, engineering and metallurgy.

Large-Scale Perturbations of Magnetohydrodynamic Regimes

Large-Scale Perturbations of Magnetohydrodynamic Regimes
Author: Vladislav Zheligovsky
Publisher: Springer
Total Pages: 330
Release: 2011-07-08
Genre: Science
ISBN: 9783642181719

New developments for hydrodynamical dynamo theory have been spurred by recent evidence of self-sustained dynamo activity in laboratory experiments with liquid metals. The emphasis in the present volume is on the introduction of powerful mathematical techniques required to tackle modern multiscale analysis of continous systems and there application to a number of realistic model geometries of increasing complexity. This introductory and self-contained research monograph summarizes the theoretical state-of-the-art to which the author has made pioneering contributions.

Magnetohydrodynamics

Magnetohydrodynamics
Author: R.J. Moreau
Publisher: Springer Science & Business Media
Total Pages: 333
Release: 2013-06-29
Genre: Science
ISBN: 9401578834

Krylov Subspace Methods

Krylov Subspace Methods
Author: Jörg Liesen
Publisher: Numerical Mathematics and Scie
Total Pages: 408
Release: 2013
Genre: Mathematics
ISBN: 0199655413

Describes the principles and history behind the use of Krylov subspace methods in science and engineering. The outcome of the analysis is very practical and indicates what can and cannot be expected from the use of Krylov subspace methods, challenging some common assumptions and justifications of standard approaches.