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Numerical Models for High Beta Magnetohydrodynamic Flow

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Computer Applications in Plasma Science and Engineering

Abstract

The fundamentals of numerical magnetohydrodynamics for highly conducting, high-beta plasmas are outlined. The discussions emphasize the physical properties of the flow, and how elementary concepts in numerical analysis can be applied to the construction of finite difference approximations that capture these features. The linear and nonlinear stability of explicit and implicit differencing in time is examined, the origin and effect of numerical diffusion in the calculation of convective transport is described, and a technique for maintaining solenoidality in the magnetic field is developed. Many of the points are illustrated by numerical examples. The techniques described are applicable to the time-dependent, high-beta flows normally encountered in magnetically confined plasmas, plasma switches, and space and astrophysical plasmas.

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Authors
  1. Jeremiah U. Brackbill
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Editor information

Editors and Affiliations

  1. Science Applications International Corporation, 1710 Goodridge Drive, 22102, McLean, VA, USA

    Adam T. Drobot

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© 1991 Springer-Verlag New York, Inc.

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Brackbill, J.U. (1991). Numerical Models for High Beta Magnetohydrodynamic Flow. In: Drobot, A.T. (eds) Computer Applications in Plasma Science and Engineering. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3092-2_16

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  • DOI: https://doi.org/10.1007/978-1-4612-3092-2_16

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97455-2

  • Online ISBN: 978-1-4612-3092-2

  • eBook Packages: Springer Book Archive

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