A Computational Method in Plasma Physics

Inhaltsverzeichnis

• 1. Introduction.
• 1.1 Formulation of the Problem.
• 1.2 Discussion of Results.
• 2. The Variational Principle.
• 2.1 The Magnetostatic Equations.
• 2.2 Flux Constraints in the Plasma.
• 2.3 The Ergodic Constraint.
• 2.4 Coordinate System in the Plasma.
• 2.5 First Variation of the Potential Energy.
• 2.6 Vacuum Region and Force-Free Fields.
• 2.7 Variation of the Vacuum Field.
• 2.8 Variation of the Free Boundary.
• 2.9 Coordinate System in the Vacuum.
• 2.10 Accelerated Paths of Steepest Descent.
• 2.11 Determination of the Acceleration Coefficients.
• 3. The Discrete Equations.
• 3.1 The Numerical Method.
• 3.2 Difference Equations for the Plasma Region.
• 3.3 Difference Equations for the Vacuum Region.
• 3.4 Iterative Scheme for the Plasma Region.
• 3.5 Iterative Scheme for the Vacuum Region.
• 3.6 Iterative Scheme for the Free Boundary.
• 3.7 Remarks about the Method.
• 3.8 Iterative Schemes for Elliptic Equations.
• 4. Description of the Computer Code.
• 4.1 Introduction.
• 4.2 Input Data.
• 4.3 Printed Output.
• 4.4 Glossary.
• 5. Applications.
• 5.1 Historical Development of the Code.
• 5.2 Comparison with Exact Solutions.
• 5.3 Unstable High ? Stellarator Equilibria.
• 5.4 Triangular Cross Sections.
• 5.5 High ? Tokamaks.
• 5.6 Discussion.
• References.
• Listing of the Code with Comment Cards.
• 1. Output from a Sample Run.
• 2. Fortran Listing.