Magnetohydrodynamic Stability of a Toroidal Plasma Structure

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ISBN 13 :
Total Pages : 1 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Magnetohydrodynamic Stability of a Toroidal Plasma Structure by : JEFFREY. FREIDBERG

Download or read book Magnetohydrodynamic Stability of a Toroidal Plasma Structure written by JEFFREY. FREIDBERG and published by . This book was released on 1962 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Perturbing Macroscopic Magnetohydrodynamic Stability for Toroidal Plasmas

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ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Perturbing Macroscopic Magnetohydrodynamic Stability for Toroidal Plasmas by : Kathryn J. Comer

Download or read book Perturbing Macroscopic Magnetohydrodynamic Stability for Toroidal Plasmas written by Kathryn J. Comer and published by . This book was released on 2004 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Magnetohydrodynamic Equilibrium and Stability of Stellarators

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Publisher : Springer Science & Business Media
ISBN 13 : 1461252407
Total Pages : 203 pages
Book Rating : 4.4/5 (612 download)

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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 . . . .

Magnetohydrodynamic Stability of Tokamaks

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Publisher : John Wiley & Sons
ISBN 13 : 3527677348
Total Pages : 254 pages
Book Rating : 4.5/5 (276 download)

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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 2014-12-09 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.

Magnetohydrodynamic Stability of Spheromak Plasma in Toroidal Flux Conserver with Rectangular Cross Section III

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ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Magnetohydrodynamic Stability of Spheromak Plasma in Toroidal Flux Conserver with Rectangular Cross Section III by : Shobu Kaneko

Download or read book Magnetohydrodynamic Stability of Spheromak Plasma in Toroidal Flux Conserver with Rectangular Cross Section III written by Shobu Kaneko and published by . This book was released on 1987 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Magnetohydrodynamic Stability of Spheromak Plasma in Toroidal Flux Conserver with Rectangular Cross Section

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ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Magnetohydrodynamic Stability of Spheromak Plasma in Toroidal Flux Conserver with Rectangular Cross Section by :

Download or read book Magnetohydrodynamic Stability of Spheromak Plasma in Toroidal Flux Conserver with Rectangular Cross Section written by and published by . This book was released on 1985 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Magnetohydrodynamic Stability of Spheromak Plasma in Toroidal Flux Conserver with Rectangular Cross Section

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Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (354 download)

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Book Synopsis Magnetohydrodynamic Stability of Spheromak Plasma in Toroidal Flux Conserver with Rectangular Cross Section by : Masayoshi Taguchi

Download or read book Magnetohydrodynamic Stability of Spheromak Plasma in Toroidal Flux Conserver with Rectangular Cross Section written by Masayoshi Taguchi and published by . This book was released on 1985 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Magnetohydrodynamics of Plasma Relaxation

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Publisher : World Scientific
ISBN 13 : 9789810208608
Total Pages : 208 pages
Book Rating : 4.2/5 (86 download)

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Book Synopsis Magnetohydrodynamics of Plasma Relaxation by : S. Ortolani

Download or read book Magnetohydrodynamics of Plasma Relaxation written by S. Ortolani and published by World Scientific. This book was released on 1993 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a concise description of the phenomenon of plasma relaxation from the point of view of resistive magnetohydrodynamic (MHD) theory. Magnetized plasmas relax when they seek their natural state of lowest energy subject to certain topological constraints imposed by the magnetic field. Relaxation may be fast and dynamic or slow and gradual depending on the external environment in which the magnetoplasma system evolves. Relaxation occurs throughout the universe and may describe such diverse phenomena as dynamos, solar flares, and the operation of magnetic fusion energy experiments. This book concentrates on the dynamic, rather than variational aspects of relaxation. While the processes described are general, the book focuses on the reversed-field pinch experiment as a paradigm for plasma relaxation and dynamo action. Examples from other branches of plasma physics are also discussed. The authors draw upon their extensive experience in numerical and experimental studies of relaxation.

Magnetohydrodynamic Stability of the Toroidal Screw Pinch

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (841 download)

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Book Synopsis Magnetohydrodynamic Stability of the Toroidal Screw Pinch by : R.F. de Vries

Download or read book Magnetohydrodynamic Stability of the Toroidal Screw Pinch written by R.F. de Vries and published by . This book was released on 1969 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Principles of Magnetohydrodynamics

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Publisher : Cambridge University Press
ISBN 13 : 9780521626071
Total Pages : 644 pages
Book Rating : 4.6/5 (26 download)

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Book Synopsis Principles of Magnetohydrodynamics by : J. P. Goedbloed

Download or read book Principles of Magnetohydrodynamics written by J. P. Goedbloed and published by Cambridge University Press. This book was released on 2004-08-05 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Plasma Physics and Magnetohydrodynamics

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Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis Plasma Physics and Magnetohydrodynamics by :

Download or read book Plasma Physics and Magnetohydrodynamics written by and published by . This book was released on 1963 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Magnetohydrodynamic Equilibrium and Stability of Stellarators

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Publisher : Springer
ISBN 13 : 9781461252412
Total Pages : 196 pages
Book Rating : 4.2/5 (524 download)

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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 . . . .

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ideal MHD

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Publisher : Cambridge University Press
ISBN 13 : 1107006252
Total Pages : 743 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Ideal MHD by : Jeffrey P. Freidberg

Download or read book Ideal MHD written by Jeffrey P. Freidberg and published by Cambridge University Press. This book was released on 2014-06-26 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive, self-contained, and clearly written, this book describes the macroscopic equilibrium and stability of high temperature plasmas.

Nuclear Science Abstracts

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ISBN 13 :
Total Pages : 912 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976-04 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Magnetohydrodynamics

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Publisher : BoD – Books on Demand
ISBN 13 : 9535102117
Total Pages : 224 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Topics in Magnetohydrodynamics by : Linjin Zheng

Download or read book Topics in Magnetohydrodynamics written by Linjin Zheng and published by BoD – Books on Demand. This book was released on 2012-03-09 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: To understand plasma physics intuitively one need to master the MHD behaviors. As sciences advance, gap between published textbooks and cutting-edge researches gradually develops. Connection from textbook knowledge to up-to-dated research results can often be tough. Review articles can help. This book contains eight topical review papers on MHD. For magnetically confined fusion one can find toroidal MHD theory for tokamaks, magnetic relaxation process in spheromaks, and the formation and stability of field-reversed configuration. In space plasma physics one can get solar spicules and X-ray jets physics, as well as general sub-fluid theory. For numerical methods one can find the implicit numerical methods for resistive MHD and the boundary control formalism. For low temperature plasma physics one can read theory for Newtonian and non-Newtonian fluids etc.

Numerical Solutions of Magnetohydrodynamic Stability of Axisymmetric Toroidal Plasmas Using Cubic B-spline Finite Element Method

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (893 download)

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Book Synopsis Numerical Solutions of Magnetohydrodynamic Stability of Axisymmetric Toroidal Plasmas Using Cubic B-spline Finite Element Method by :

Download or read book Numerical Solutions of Magnetohydrodynamic Stability of Axisymmetric Toroidal Plasmas Using Cubic B-spline Finite Element Method written by and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A nonvariational ideal MHD stability code (NOVA) has been developed. In a general flux coordinate ([psi], theta, [zeta]) system with an arbitrary Jacobian, the NOVA code employs Fourier expansions in the generalized poloidal angle theta and generalized toroidal angle [zeta] directions, and cubic-B spline finite elements in the radial [psi] direction. Extensive comparisons with these variational ideal MHD codes show that the NOVA code converges faster and gives more accurate results. An extended version of NOVA is developed to integrate non-Hermitian eigenmode equations due to energetic particles. The set of non-Hermitian integro-differential eigenmode equations is numerically solved by the NOVA-K code. We have studied the problems of the stabilization of ideal MHD internal kink modes by hot particle pressure and the excitation of ''fishbone'' internal kink modes by resonating with the energetic particle magnetic drift frequency. Comparisons with analytical solutions show that the values of the critical .beta./sub h/ from the analytical theory can be an order of magnitude different from those computed by the NOVA-K code. 24 refs., 11 figs., 1 tab.