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Computational Methods in Plasma Physics
ISBN-13:
9781439810958
Veröffentl:
2010
Seiten:
372
Autor:
Stephen Jardin
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
0 - No protection
Sprache:
Englisch
Beschreibung:
Largely self-contained, this text covers the computational mathematics and techniques needed to simulate magnetically confined plasmas in modern magnetic fusion experiments and future magnetic fusion reactors. Along with discussing numerical stability and accuracy, the author explores many of the algorithms used today in enough depth so that readers can analyze their stability, efficiency, and scaling properties. He focuses on mathematical models where the plasma is treated as a conducting fluid, since this is the most mature plasma model and most applicable to experiments. The book also emphasizes toroidal confinement geometries, particularly the tokamak.
Introduction to Magnetohydrodynamic Equations. Introduction to Finite Difference Equations. Finite Difference Methods for Elliptic Equations. Plasma Equilibrium. Magnetic Flux Coordinates in a Torus. Diffusion and Transport in Axisymmetric Geometry. Numerical Methods for Parabolic Equations. Methods of Ideal MHD Stability Analysis. Numerical Methods for Hyperbolic Equations. Spectral Methods for Initial Value Problems. The Finite Element Method. Bibliography. Index.
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