Ideal MHD

Ideal MHD
Title Ideal MHD PDF eBook
Author Jeffrey P. Freidberg
Publisher Cambridge University Press
Pages 743
Release 2014-06-26
Genre Science
ISBN 1107006252

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Comprehensive, self-contained, and clearly written, this book describes the macroscopic equilibrium and stability of high temperature plasmas.

Ideal Magnetohydrodynamics

Ideal Magnetohydrodynamics
Title Ideal Magnetohydrodynamics PDF eBook
Author Jeffrey P. Freidberg
Publisher Springer
Pages 489
Release 2013-11-20
Genre Technology & Engineering
ISBN 9781475708387

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Principles of Magnetohydrodynamics

Principles of Magnetohydrodynamics
Title Principles of Magnetohydrodynamics PDF eBook
Author J. P. Goedbloed
Publisher Cambridge University Press
Pages 644
Release 2004-08-05
Genre Science
ISBN 9780521626071

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This textbook provides a modern and accessible introduction to magnetohydrodynamics (MHD). It describes the two main applications of plasma physics, laboratory research on thermo-nuclear fusion energy and plasma astrophysics of the solar system, stars and accretion disks, from the single viewpoint of MHD. This approach provides effective methods and insights for the interpretation of plasma phenomena on virtually all scales, from the laboratory to the universe. It equips the reader with the necessary tools to understand the complexities of plasma dynamics in extended magnetic structures. The classical MHD model is developed in detail without omitting steps in the derivations and problems are included at the end of each chapter. This text is ideal for senior-level undergraduate and graduate courses in plasma physics and astrophysics.

Ideal Magnetohydrodynamics

Ideal Magnetohydrodynamics
Title Ideal Magnetohydrodynamics PDF eBook
Author Jeffrey P. Freidberg
Publisher Plenum Publishing Corporation
Pages 514
Release 1987
Genre Science
ISBN

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Ideal MHD

Ideal MHD
Title Ideal MHD PDF eBook
Author Jeffrey P. Freidberg
Publisher Cambridge University Press
Pages 743
Release 2014-06-26
Genre Science
ISBN 1139991809

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Comprehensive, self-contained, and clearly written, this successor to Ideal Magnetohydrodynamics (1987) describes the macroscopic equilibrium and stability of high temperature plasmas - the basic fuel for the development of fusion power. Now fully updated, this book discusses the underlying physical assumptions for three basic MHD models: ideal, kinetic, and double-adiabatic MHD. Included are detailed analyses of MHD equilibrium and stability, with a particular focus on three key configurations at the cutting-edge of fusion research: the tokamak, stellarator, and reversed field pinch. Other new topics include continuum damping, MHD stability comparison theorems, neoclassical transport in stellarators, and how quasi-omnigeneity, quasi-symmetry, and quasi-isodynamic constraints impact the design of optimized stellarators. Including full derivations of almost every important result, in-depth physical explanations throughout, and a large number of problem sets to help master the material, this is an exceptional resource for graduate students and researchers in plasma and fusion physics.

Lectures in Magnetohydrodynamics

Lectures in Magnetohydrodynamics
Title Lectures in Magnetohydrodynamics PDF eBook
Author Dalton D. Schnack
Publisher Springer
Pages 317
Release 2009-08-11
Genre Science
ISBN 3642006884

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Magnetohydrodynamics, or MHD, is a theoretical way of describing the statics and dynamics of electrically conducting uids. The most important of these uids occurring in both nature and the laboratory are ionized gases, called plasmas. These have the simultaneous properties of conducting electricity and being electrically charge neutral on almost all length scales. The study of these gases is called plasma physics. MHD is the poor cousin of plasma physics. It is the simplest theory of plasma dynamics. In most introductory courses, it is usually afforded a short chapter or lecture at most: Alfven ́ waves, the kink mode, and that is it. (Now, on to Landau damping!) In advanced plasma courses, such as those dealing with waves or kinetic theory, it is given an even more cursory treatment, a brief mention on the way to things more profound and interesting. (It is just MHD! Besides, real plasma phy- cists do kinetic theory!) Nonetheless, MHD is an indispensable tool in all applications of plasma physics.

Finite Element Methods in Linear Ideal Magnetohydrodynamics

Finite Element Methods in Linear Ideal Magnetohydrodynamics
Title Finite Element Methods in Linear Ideal Magnetohydrodynamics PDF eBook
Author Ralf Gruber
Publisher Springer Science & Business Media
Pages 190
Release 2012-12-06
Genre Science
ISBN 3642867081

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For more than ten years we have been working with the ideal linear MHD equations used to study the stability of thermonuc1ear plasmas. Even though the equations are simple and the problem is mathematically well formulated, the numerical problems were much harder to solve than anticipated. Already in the one-dimensional cylindrical case, what we called "spectral pollution" appeared. We were able to eliminate it by our "ecological solution". This solution was applied to the two-dimensional axisymmetric toroidal geometry. Even though the spectrum was unpolluted the precision was not good enough. Too many mesh points were necessary to obtain the demanded precision. Our solution was what we called the "finite hybrid elements". These elements are efficient and cheap. They have also proved their power when applied to calculating equilibrium solutions and will certainly penetrate into other domains in physics and engineering. During all these years, many colleagues have contributed to the construc tion, testing and using of our stability code ERATO. We would like to thank them here. Some ofthem gave partial contributions to the book. Among them we mention Dr. Kurt Appert, Marie-Christine Festeau-Barrioz, Roberto Iacono, Marie-Alix Secretan, Sandro Semenzato, Dr. Jan Vac1avik, Laurent Villard and Peter Merkel who kindly agreed to write Chap. 6. Special thanks go to Hans Saurenmann who drew most of the figures, to Dr