F Bauer

(Author)

Magnetohydrodynamic Equilibrium and Stability of Stellarators (Softcover Reprint of the Original 1st 1984)Paperback - Softcover Reprint of the Original 1st 1984, 26 September 2011

Magnetohydrodynamic Equilibrium and Stability of Stellarators (Softcover Reprint of the Original 1st 1984)
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Print Length
196 pages
Language
English
Publisher
Springer
Date Published
26 Sep 2011
ISBN-10
1461297532
ISBN-13
9781461297536

Description

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 . . . .

Product Details

Authors:
F BauerO BetancourtP Garabedian
Book Edition:
Softcover Reprint of the Original 1st 1984
Book Format:
Paperback
Country of Origin:
NL
Date Published:
26 September 2011
Dimensions:
23.39 x 15.6 x 1.14 cm
ISBN-10:
1461297532
ISBN-13:
9781461297536
Language:
English
Location:
New York, NY
Pages:
196
Publisher:
Weight:
303.91 gm

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