Controlled Fusion - 1st Edition - ISBN: 9780124608160, 9780323149365

Controlled Fusion

1st Edition

Editors: John Killeen
eBook ISBN: 9780323149365
Imprint: Academic Press
Published Date: 28th January 1976
Page Count: 464
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Methods in Computational Physics, Volume 16: Controlled Fusion considers the full variety of computer models needed for the simulation of realistic fusion devices. These computer models include time-dependent magnetohydrodynamics, plasma transport in a magnetic field, MHD and guiding-center equilibria, MHD stability of confinement systems, Vlasov and particle models, and multispecies Fokker-Planck codes.
This volume is divided into 11 chapters. The first three chapters discuss various aspects of the numerical solution of the equations of magnetohydrodynamics (MHD). The subsequent chapters present the more realistic models, including the thermal conductivity and electrical resistivity. Other chapters describe two-dimensional codes with varies choice of coordinate systems, such as fixed Eulerian grid, Lagrangian descriptions, and the use of magnetic flux surfaces as coordinate surfaces. The discussion then shifts to models on the inclusion of neutrals and impurities, as well as the use of empirical transport coefficients. A chapter surveys the development of time-dependent codes to support the design and operation of major CTR experiment. The final chapters explore the electromagnetic codes in the nonradiative limit (Darwin model) where the equations are nonrelativistic and displacement currents are neglected. This book is an invaluable source for geoscientists, physicists, and mathematicians.

Table of Contents



Numerical Magnetohydrodynamics for High-Beta Plasmas

I. Introduction

II. Numerical Methods

III. The Computation of Convective Transport

IV. A Generalized Mesh Method for MHD

V. Applications

VI. Conclusions



Waterbag Methods in Magnetohydrodynamics

I. The Waterbag Concept

II. Equilibrium Properties of One Waterbag

III. Equilibria of Current Distributions

IV. Adiabatic Constraints

V. Further Applications


Solution of Continuity Equations by the Method of Flux-Corrected Transport

I. Introduction

II. Elements of FCT Algorithms

III. Optimization of FCT Algorithms

IV. Applications of Flux-Corrected Transport


Multifluid Tokamak Transport Models

I. General Remarks

II. Plasma Models

III. Suprathermal Plasma: Injected Ions and Alpha Particles

VI. Neutral Gas

V. Impurities

VI. Summary


Appendix: Bibliography

Icarus—A One-Dimensional Plasma Diffusion Code

I. Introduction

II. The Physical Model

III. The Numerical Model

IV. Programming Techniques

V. Applications

VI. Summary


Equilibria of Magnetically Confined Plasmas

I. Introduction

II. Toroidal Equilibrium

III. Anisotropic Pressure Equilibria


Computation of the Magnetohydrodynamic Spectrum in Axisymmetric Toroidal Confinement Systems

I. Introduction

II. Formulation of the Problem

III. Representation of the Normal-Mode Equations

IV. Application

V. Discussion


Collective Transport in Plasmas

I. Introduction

II. The Simulation Model

III. Elementary Theory of Convective Diffusion in a Uniform Thermal Plasma

IV. The Simulation of Plasma Diffusion across a Magnetic Field (Uniform Thermal Plasma)

V. Simulation Of Diffusion in Nonuniform Plasmas


Electromagnetic and Relativistic Plasma Simulation Models

I. Introduction

II. Simulation of Collisionless Plasmas

III. Electromagnetic Codes Working Directly with Ε and Β

IV. Algorithms with Special Stability Properties



Particle-Code Models in the Nonradiative Limit

I. Introduction

II. The Darwin Model

III. Hamiltonian Formulations

IV. Lagrangian Formulation

V. Solution of the Field Equations

VI. One-Dimensional Comparisons

VII. A Two-Dimensional Example

VIII. Summary


The Solution of the Kinetic Equations for a Multispecies Plasma

I. Introduction

II. Mathematical Model

III. Solutions Using Angular Eigenfunctions

IV. Finite-Difference Solution in a Two-Dimensional Velocity Space


Author Index

Subject Index

Contents of Previous Volumes


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© Academic Press 1976
Academic Press
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About the Editor

John Killeen

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