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A New Approach To Magnetohydrodynamic Stability
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Book Synopsis A New Approach to Magnetohydrodynamic Stability by : J. P. Goedbloed
Download or read book A New Approach to Magnetohydrodynamic Stability written by J. P. Goedbloed and published by Forgotten Books. This book was released on 2016-08-21 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A New Approach to Magnetohydrodynamic Stability: I. A Practical Stability Concept The problem of magnetohydrodynamic stability, in particular of the diffuse linear pinch, is one of the most extensively investigated subjects in plasma physics. The subject has recently found renewed interest, mainly because of its evident implications for plasma confinement experiments aiming at thermonuclear fusion. An understanding of the basic features involved in stability is clearly crucial to further progress in this field. In this and the accompanying paper we aim at a contribution towards such under standing. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis A New Approach to Magnetohydrodynamic Stability by : J. P. Goedbloed
Download or read book A New Approach to Magnetohydrodynamic Stability written by J. P. Goedbloed and published by . This book was released on 1973 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A New Approach to Magnetohydrodynamic Stability by : P. H. Sakanaka
Download or read book A New Approach to Magnetohydrodynamic Stability written by P. H. Sakanaka and published by . This book was released on 1973 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A New Approach to Magnetohydrodynamic Stability I. A Practical Stability Concept by : J P Goedbloed
Download or read book A New Approach to Magnetohydrodynamic Stability I. A Practical Stability Concept written by J P Goedbloed and published by Palala Press. This book was released on 2018-03-03 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis A New Approach to Magnetohydrodynamic Stability II. Sigma-stable Diffuse Pinch Configurations by : P. Sakanaka
Download or read book A New Approach to Magnetohydrodynamic Stability II. Sigma-stable Diffuse Pinch Configurations written by P. Sakanaka and published by . This book was released on 1973 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A New Approach to Magnetohydrodynamic Stability by : P. H. Sakanaka
Download or read book A New Approach to Magnetohydrodynamic Stability written by P. H. Sakanaka and published by . This book was released on 2015-08-04 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A New Approach to Magnetohydrodynamic Stability: II. -Stable Diffuse Pinch Configurations A New Approach to Magnetohydrodynamic Stability: II. -Stable Diffuse Pinch Configurations was written by P. H. Sakanaka and J. P. Goedbloed in 1973. This is a 62 page book, containing 8489 words and 24 pictures. Search Inside is enabled for this title. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works."
Book Synopsis Magnetohydrodynamic Stability of Tokamaks by : Hartmut Zohm
Download or read book Magnetohydrodynamic Stability of Tokamaks written by Hartmut Zohm and published by John Wiley & Sons. This book was released on 2015-02-09 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges the gap between general plasma physics lectures and the real world problems in MHD stability. In order to support the understanding of concepts and their implication, it refers to real world problems such as toroidal mode coupling or nonlinear evolution in a conceptual and phenomenological approach. Detailed mathematical treatment will involve classical linear stability analysis and an outline of more recent concepts such as the ballooning formalism. The book is based on lectures that the author has given to Master and PhD students in Fusion Plasma Physics. Due its strong link to experimental results in MHD instabilities, the book is also of use to senior researchers in the field, i.e. experimental physicists and engineers in fusion reactor science. The volume is organized in three parts. It starts with an introduction to the MHD equations, a section on toroidal equilibrium (tokamak and stellarator), and on linear stability analysis. Starting from there, the ideal MHD stability of the tokamak configuration will be treated in the second part which is subdivided into current driven and pressure driven MHD. This includes many examples with reference to experimental results for important MHD instabilities such as kinks and their transformation to RWMs, infernal modes, peeling modes, ballooning modes and their relation to ELMs. Finally the coverage is completed by a chapter on resistive stability explaining reconnection and island formation. Again, examples from recent tokamak MHD such as sawteeth, CTMs, NTMs and their relation to disruptions are extensively discussed.
Book Synopsis A Control Engineering Approach to Magnetohydrodynamic Stability by : W.H.B. Cooper
Download or read book A Control Engineering Approach to Magnetohydrodynamic Stability written by W.H.B. Cooper and published by . This book was released on 1965 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Magnetohydrodynamic Equilibrium and Stability of Stellarators by : F. Bauer
Download or read book Magnetohydrodynamic Equilibrium and Stability of Stellarators written by F. Bauer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we describe in detail a numerical method to study the equilibrium and stability of a plasma confined by a strong magnetic field in toroidal geometry without two-dimensional symmetry. The principal appli cation is to stellarators, which are currently of interest in thermonuclear fusion research. Our mathematical model is based on the partial differential equations of ideal magnetohydrodynamics. The main contribution is a computer code named BETA that is listed in the final chapter. This work is the natural continuation of an investigation that was presented in an early volume of the Springer Series in Computational Physics (cf. [3]). It has been supported over a period of years by the U.S. Department of Energy under Contract DE-AC02-76ER03077 with New York University. We would like to express our gratitude to Dr. Franz Herrnegger for the assistance he has given us with the preparation of the manuscript. We are especially indebted to Connie Engle for the high quality of the final typescript. New York F. BAUER October 1983 O. BETANCOURT P. GARABEDIAN Contents 1. Introduction 1 2. Synopsis of the Method 3 1. Variational principle 3 2. Coordinate system 6 3. Finite Difference Scheme 8 1. Difference equations ....................... " 8 2. Island structure ............................. 10 3. Accelerated iteration procedure .............. . . .. 12 Nonlinear Stability 15 4. 1. Second minimization . . . . . . . . . . . . . . . . .. . . 15 . . . . . 2. Test functions and convergence studies . . . . . . . .. . . 17 . 3. Comparison with exact solutions ................. 19 5. The Mercier Criterion 22 1. Local mode analysis . . . . . . . . . . . . . . . . .. . . 22 . . . . . 2. Computational method . . . . . . . . . . . . . . . .. . . 23 . . . .
Book Synopsis Topics in Magnetohydrodynamic Topology, Reconnection and Stability Theory by : David MacTaggart
Download or read book Topics in Magnetohydrodynamic Topology, Reconnection and Stability Theory written by David MacTaggart and published by Springer. This book was released on 2019-07-19 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents an advanced but accessible overview of some of the most important sub-branches of magnetohydrodynamics (MHD): stability theory, magnetic topology, relaxation theory and magnetic reconnection. Although each of these subjects is often treated separately, in practical MHD applications they are normally inseparable. MHD is a highly active field of research.The book is written for advanced undergraduates, postgraduates and researchers working on MHD-related research in plasma physics and fluid dynamics.
Book Synopsis Magnetohydrodynamic Equilibrium and Stability of Stellarators by : Felix Bauer
Download or read book Magnetohydrodynamic Equilibrium and Stability of Stellarators written by Felix Bauer and published by Springer. This book was released on 2011-10-30 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we describe in detail a numerical method to study the equilibrium and stability of a plasma confined by a strong magnetic field in toroidal geometry without two-dimensional symmetry. The principal appli cation is to stellarators, which are currently of interest in thermonuclear fusion research. Our mathematical model is based on the partial differential equations of ideal magnetohydrodynamics. The main contribution is a computer code named BETA that is listed in the final chapter. This work is the natural continuation of an investigation that was presented in an early volume of the Springer Series in Computational Physics (cf. [3]). It has been supported over a period of years by the U.S. Department of Energy under Contract DE-AC02-76ER03077 with New York University. We would like to express our gratitude to Dr. Franz Herrnegger for the assistance he has given us with the preparation of the manuscript. We are especially indebted to Connie Engle for the high quality of the final typescript. New York F. BAUER October 1983 O. BETANCOURT P. GARABEDIAN Contents 1. Introduction 1 2. Synopsis of the Method 3 1. Variational principle 3 2. Coordinate system 6 3. Finite Difference Scheme 8 1. Difference equations ....................... " 8 2. Island structure ............................. 10 3. Accelerated iteration procedure .............. . . .. 12 Nonlinear Stability 15 4. 1. Second minimization . . . . . . . . . . . . . . . . .. . . 15 . . . . . 2. Test functions and convergence studies . . . . . . . .. . . 17 . 3. Comparison with exact solutions ................. 19 5. The Mercier Criterion 22 1. Local mode analysis . . . . . . . . . . . . . . . . .. . . 22 . . . . . 2. Computational method . . . . . . . . . . . . . . . .. . . 23 . . . .
Book Synopsis Elements of Magnetohydrodynamic Stability Theory by : Gordon Spies
Download or read book Elements of Magnetohydrodynamic Stability Theory written by Gordon Spies and published by . This book was released on 1976 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Magnetohydrodynamics and Spectral Theory by : Alexander E. Lifshits
Download or read book Magnetohydrodynamics and Spectral Theory written by Alexander E. Lifshits and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2 The linearized ideal MHO equations. . . . . . . . . . . . 204 3 Spectral problems corresponding to evolutionary problems . . 211 4 Stability of equilibrium configurations and the Energy Principle 215 5 Alternative forms of the plasma potential energy 220 6 Minimization of the potential energy with respect to a parallel displacement . . . . . . . . . . . . . 222 7 Classification of ideal MHO instabilities . 224 8 The linearized non-ideal MHO equations . 226 Chapter 6. Homogeneous and discretely structured plasma oscillations 229 I Introduction . . . . . . . . . . . . . . . 229 2 Alfven waves in an incompressible ideal plasma 230 3 Cold ideal plasma oscillations. . . . 233 4 Compressible hot plasma oscillations 236 5 Finite resistivity effects . . . . . . . 239 6 Propagation of waves generated by a local source 240 7 Stratified plasma oscillations . . . . . . . . . 247 8 Oscillations of a plasma slab . . . . . . . . . 254 9 Instabilities of an ideal stratified gravitating plasma 256 10 Instabilities of a resistive stratified gravitating plasma. 262 Chapter 7. MHO oscillations of a gravitating plasma slab 265 I Introduction . . . . . . . . . . . . . . . 265 2 Gravitating slab equilibrium . . . . . . . . 266 3 Oscillations of a hot compressible plasma slab 267 4 Investigation of the slab stability via the Energy Principle 270 5 On the discrete spectrum of the operator Kk . . . . . . 274 6 On the essential spectrum of the operator Kk . . . . . . 279 7 On the discrete spectrum embedded in the essential spectrum 282 8 The eigenfunction expansion formula . . . . . . . . . . 285 9 Excitation of plasma oscillations by an external power source . 288 10 The linearized equations governing resistive gravitating plasma slab oscillations . . . . . . . . . . . . . . . . . . . . . 290 II Heuristic investigation of resistive instabilities. . . . . . . . . .
Book Synopsis Magnetohydrodynamic Approach to the Feedback Instability by : T.-H. Watanabe
Download or read book Magnetohydrodynamic Approach to the Feedback Instability written by T.-H. Watanabe and published by . This book was released on 1977 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation Laws by : Gary Webb
Download or read book Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation Laws written by Gary Webb and published by Springer. This book was released on 2018-02-05 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on conservation laws in magnetohydrodynamics, gasdynamics and hydrodynamics. A grasp of new conservation laws is essential in fusion and space plasmas, as well as in geophysical fluid dynamics; they can be used to test numerical codes, or to reveal new aspects of the underlying physics, e.g., by identifying the time history of the fluid elements as an important key to understanding fluid vorticity or in investigating the stability of steady flows. The ten Galilean Lie point symmetries of the fundamental action discussed in this book give rise to the conservation of energy, momentum, angular momentum and center of mass conservation laws via Noether’s first theorem. The advected invariants are related to fluid relabeling symmetries – so-called diffeomorphisms associated with the Lagrangian map – and are obtained by applying the Euler-Poincare approach to Noether’s second theorem. The book discusses several variants of helicity including kinetic helicity, cross helicity, magnetic helicity, Ertels’ theorem and potential vorticity, the Hollman invariant, and the Godbillon Vey invariant. The book develops the non-canonical Hamiltonian approach to MHD using the non-canonical Poisson bracket, while also refining the multisymplectic approach to ideal MHD and obtaining novel nonlocal conservation laws. It also briefly discusses Anco and Bluman’s direct method for deriving conservation laws. A range of examples is used to illustrate topological invariants in MHD and fluid dynamics, including the Hopf invariant, the Calugareanu invariant, the Taylor magnetic helicity reconnection hypothesis for magnetic fields in highly conducting plasmas, and the magnetic helicity of Alfvén simple waves, MHD topological solitons, and the Parker Archimedean spiral magnetic field. The Lagrangian map is used to obtain a class of solutions for incompressible MHD. The Aharonov-Bohm interpretation of magnetic helicity and cross helicity is discussed. In closing, examples of magnetosonic N-waves are used to illustrate the role of the wave number and group velocity concepts for MHD waves. This self-contained and pedagogical guide to the fundamentals will benefit postgraduate-level newcomers and seasoned researchers alike.
Book Synopsis Theory of Hydromagnetic Stability by : Bhimsen K. Shivamoggi
Download or read book Theory of Hydromagnetic Stability written by Bhimsen K. Shivamoggi and published by CRC Press. This book was released on 1986 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Magnetohydrodynamic Topology, Reconnection and Stability Theory by : David MacTaggart
Download or read book Topics in Magnetohydrodynamic Topology, Reconnection and Stability Theory written by David MacTaggart and published by . This book was released on 2020 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents an advanced but accessible overview of some of the most important sub-branches of magnetohydrodynamics (MHD): stability theory, magnetic topology, relaxation theory and magnetic reconnection. Although each of these subjects is often treated separately, in practical MHD applications they are normally inseparable. MHD is a highly active field of research. The book is written for advanced undergraduates, postgraduates and researchers working on MHD-related research in plasma physics and fluid dynamics.
