Magnetohydrodynamic Equilibrium And Stability Of Stellarators
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Author | : F. Bauer |
Publisher | : Springer Science & Business Media |
Total Pages | : 203 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461252407 |
Download Magnetohydrodynamic Equilibrium and Stability of Stellarators Book in PDF, Epub and Kindle
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 . . . .
Author | : Felix Bauer |
Publisher | : Springer |
Total Pages | : 196 |
Release | : 2011-10-30 |
Genre | : Science |
ISBN | : 9781461252412 |
Download Magnetohydrodynamic Equilibrium and Stability of Stellarators Book in PDF, Epub and Kindle
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 . . . .
Author | : Frances Bauer |
Publisher | : |
Total Pages | : 196 |
Release | : 1984 |
Genre | : Plasma (Gaz ionisés) - Confinement - Informatique |
ISBN | : 9783540909668 |
Download Magnetohydrodynamic Equilibrium and Stability of Stellarators Book in PDF, Epub and Kindle
Author | : Jiro Todoroki |
Publisher | : |
Total Pages | : 33 |
Release | : 1989 |
Genre | : |
ISBN | : |
Download Extension of Stellarator Approximation in Magnetohydrodynamic Equilibrium and Stability of Toroidal Helical Systems Book in PDF, Epub and Kindle
Author | : |
Publisher | : |
Total Pages | : |
Release | : 1984 |
Genre | : |
ISBN | : |
Download MHD Equilibrium and Stability for Stellarator Book in PDF, Epub and Kindle
The stellarator equilibrium and stability studies presented in this paper are concentrated in two areas: the improvement of the understanding of high beta torsatrons through the concept of flux control and the study of helical axis configurations.
Author | : Masahiro Wakatani |
Publisher | : Oxford University Press, USA |
Total Pages | : 462 |
Release | : 1998 |
Genre | : Language Arts & Disciplines |
ISBN | : 9780195078312 |
Download Stellarator and Heliotron Devices Book in PDF, Epub and Kindle
This monograph describes plasma physics for magnetic confinement of high temperature plasmas in nonaxisymmetric toroidal magnetic fields or stellarators. The techniques are aimed at controlling nuclear fusion for continuous energy production. While the focus is on the nonaxisymmetric toroidal field, or heliotron, developed at Kyoto University, the physics applies equally to other stellarators and axisymmetric tokamaks. The author covers all aspects of magnetic confinement, formation of magnetic surfaces, magnetohydrodynamic equilibrium and stability, single charged particle confinement, neoclassical transport and plasma heating. He also reviews recent experiments and the prospects for the next generation of devices.
Author | : |
Publisher | : |
Total Pages | : |
Release | : 1985 |
Genre | : |
ISBN | : |
Download MHD Computations for Stellarators Book in PDF, Epub and Kindle
Considerable progress has been made in the development of computational techniques for studying the magnetohydrodynamic equilibrium and stability properties of three-dimensional configurations. Several different approaches have evolved to the point where comparison of results determined with different techniques shows good agreement. 55 refs., 7 figs.
Author | : S. R. Hudson |
Publisher | : |
Total Pages | : 7 |
Release | : 2003 |
Genre | : Stellarators |
ISBN | : |
Download Constructing Integrable High-pressure Full-current Free-boundary Stellarator Magnetohydrodynamic Equilibrium Solutions Book in PDF, Epub and Kindle
Author | : S. R. Hudson |
Publisher | : |
Total Pages | : |
Release | : 2002 |
Genre | : Stellarators |
ISBN | : |
Download Eliminating Islands in High-pressure Free-boundary Stellarator Magnetohydrodynamic Equilibrium Solutions Book in PDF, Epub and Kindle
Author | : |
Publisher | : |
Total Pages | : |
Release | : 1986 |
Genre | : |
ISBN | : |
Download Stellarator Expansion Methods for MHD Equilibrium and Stability Calculations Book in PDF, Epub and Kindle
Two methods for performing stellarator expansion, or average method, MHD calculations are described. The first method includes the calculation of vacuum, equilibrium, and stability, using the Greene and Johnson stellarator expansion in which the equilibrium is reduced to a 2-D problem by averaging over the geometric toroidal angle in real space coordinates. In the second method, the average is performed in a system of vacuum magnetic coordinates. Both methods are implemented to utilize realistic vacuum field information, making them applicable to configuration studies and machine design, as well as to basic research. Illustrative examples are presented to detail the sensitivities of the calculations to physical parameters and to show numerical convergence and the comparison of these methods with each other and with other methods.