Computational Methods in Plasma Physics

Stephen Jardin

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June 2, 2010 by CRC Press
Reference - 372 Pages - 61 B/W Illustrations
ISBN 9781439810217 - CAT# K10512
Series: Chapman & Hall/CRC Computational Science

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Features

  • Presents a unique combination of mathematical techniques and associated computational algorithms needed to perform meaningful simulations of magnetized plasma
  • Gives a comprehensive treatment of the plasma equilibrium problem as well as a unique derivation of methods for solving the transport timescale evolution of magnetized plasma
  • Offers an accessible introduction to many advanced computational methods currently used
  • Covers finite difference, spectral, and finite element methods
  • Contains an extensive overview of the various approaches to solving sparse matrix equations, along with their relative merits and limitations

Summary

Assuming no prior knowledge of plasma physics or numerical methods, Computational Methods in Plasma Physics covers the computational mathematics and techniques needed to simulate magnetically confined plasmas in modern magnetic fusion experiments and future magnetic fusion reactors. Largely self-contained, the text presents the basic concepts necessary for the numerical solution of partial differential equations.

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—a very successful configuration for confining a high-temperature plasma. Many of the basic numerical techniques presented are also appropriate for equations encountered in a higher-dimensional phase space.

One of the most challenging research areas in modern science is to develop suitable algorithms that lead to stable and accurate solutions that can span relevant time and space scales. This book provides an excellent working knowledge of the algorithms used by the plasma physics community, helping readers on their way to more advanced study.