Numerical Computations of the Ideal Magnetohydrodynamic Stability of Small Aspect Ratio Tokamaks PDF Download
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Author: Daniel Berger
Publisher:
ISBN:
Category :
Languages : en
Pages : 95
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Author: Daniel Berger
Publisher:
ISBN:
Category :
Languages : en
Pages : 95
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Author: Hartmut Zohm
Publisher: John Wiley & Sons
ISBN: 3527412328
Category : Science
Languages : en
Pages : 254
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Book Description
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.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 16
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Author: Ralf Gruber
Publisher: Springer Science & Business Media
ISBN: 3642867081
Category : Science
Languages : en
Pages : 190
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Book Description
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
Author:
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Category : Power resources
Languages : en
Pages : 544
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Author: Hollis Emmett Dalhed
Publisher:
ISBN:
Category : Tokamaks
Languages : en
Pages : 680
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Author:
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ISBN:
Category : Controlled fusion
Languages : en
Pages : 104
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Magnetohydrodynamic (MHD) stability analyses are carried out for tokamak equilibria with A = 2.0 and 1.5 q(boundary)/q(axis) approximately equal to 2, and .beta./sub p/ approximately equal to A/2. When a conducting wall is at a distance 0.2a from the plasma with A = 1.5, the critical anti .beta./sub t/(= 8.pi.p/B/sub to/) values are found to be 0.47, 0.37, and 0.33 for toroidal mode numbers N = 1, 2, and 3, respectively. A linear extrapolation in 1/N .-->. 0 results in a anti beta/sub tc/ of 0.28, which is consistent with the results based on analyses of large N ballooning modes on each flux surface. For the case of A = 2.0, anti .beta./sub tc/ values on plasma parameters are quantified together with suggested approaches to produce the plasma via adiabatic compression.
Author:
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Category : Aeronautics
Languages : en
Pages : 892
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Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1348
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