Controlled Fusion

Controlled Fusion

1st Edition - January 28, 1976

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  • Editor: John Killeen
  • eBook ISBN: 9780323149365

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Description

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


  • Contributors

    Preface

    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

    Appendix

    References

    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

    References

    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

    References

    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

    References

    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

    References

    Equilibria of Magnetically Confined Plasmas

    I. Introduction

    II. Toroidal Equilibrium

    III. Anisotropic Pressure Equilibria

    References

    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

    References

    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

    References

    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

    V. SUPERLAYER

    References

    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

    References

    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

    References

    Author Index

    Subject Index

    Contents of Previous Volumes


Product details

  • No. of pages: 464
  • Language: English
  • Copyright: © Academic Press 1976
  • Published: January 28, 1976
  • Imprint: Academic Press
  • eBook ISBN: 9780323149365

About the Editor

John Killeen

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