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A Computational Method in Plasma Physics (Paperback, Softcover reprint of the original 1st ed. 1978)
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A Computational Method in Plasma Physics (Paperback, Softcover reprint of the original 1st ed. 1978)
Series: Scientific Computation
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In this book, we report on research in methods of computational
magneto- hydrodynamics supported by the United States Department of
Energy under Contract EY-76-C-02-3077 with New York University. The
work has re- sulted in a computer code for mathematical analysis of
the equilibrium and stability of a plasma in three dimensions with
toroidal geometry but no sym- metry. The code is listed in the
final chapter. Versions of it have been used for the design of
experiments at the Los Alamos Scientific Laboratory and the Max
Planck Institute for Plasma Physics in Garching. We are grateful to
Daniel Barnes, Jeremiah Brackbill, Harold Grad, William Grossmann,
Abraham Kadish, Peter Lax, Guthrie Miller, Arnulf Schliiter, and
Harold Weitzner for many useful discussions of the theory. We are
especially indebted to Franz Herrnegger for theoretical and
pedagogical comments. Constance Engle has provided outstanding
assistance with the typescript. We take pleasure in acknowledging
the help of the staff of the Courant Mathematics and Com- puting
Laboratory at New York University. In particular we should like to
express our thanks to Max Goldstein, Kevin McAuliffe, Terry Moore,
Toshi Nagano and Tsun Tam. Frances Bauer New York Octavio
Betancourt September 1978 Paul Garabedian v Contents Chapter 1.
Introduction 1 1. 1 Formulation of the Problem 1 1. 2 Discussion of
Results 2 Chapter 2. The Variational Principle 4 4 2. 1 The
Magnetostatic Equations 6 2. 2 Flux Constraints in the Plasma . 7
2. 3 The Ergodic Constraint .
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