Computational methods in plasma physics
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 o…
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- Full title :Computational methods in plasma physics / Stephen Jardin
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.
Read More ↓Edition Statements
- Publication Date:2010
Publication Statements
- Publisher(s):Taylor & Francis
- Place of Publication:Boca Raton, Fla
- Language:eng
- Publication Date:2010
The Physical Object
- Description:xxii, 349 s. : : illustrations ; : 24 cm
Edition Identifiers
- ISBN:9781439810217, 1439810214
- oclc:ocn760876080
- LC Classification:QC718
- Dewey Decimal:530.4 4015118
Table of Contents
Introduction to Magnetohydrodynamic Equations Introduction Magnetohydrodynamic (MHD) Equations Characteristics Introduction to Finite Difference Equations Introduction Implicit and Explicit Methods Errors Consistency, Convergence, and Stability Von Neumann Stability Analysis Accuracy and Conservative Differencing Finite Difference Methods for Elliptic Equations Introduction One Dimensional Poisson's Equation Two Dimensional Poisson's Equation Matrix Iterative Approach Physical Approach to Deriving Iterative Methods Multigrid Methods Krylov Space Methods Finite Fourier Transform Plasma Equilibrium Introduction Derivation of the Grad -- Shafranov Equation The Meaning of I Exact Solutions Variational Forms of the Equilibrium Equation Free Boundary Grad -- Shafranov Equation Experimental Equilibrium Reconstruction Magnetic Flux Coordinates in a Torus Introduction Preliminaries Magnetic Field, Current, and Surface Functions Constructing Flux Coordinates from I (R, Z) Inverse Equilibrium Equation Diffusion and Transport in Axisymmetric Geometry Introduction Basic Equations and Orderings Equilibrium Constraint Time Scales Numerical Methods for Parabolic Equations Introduction One Dimensi…
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