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Abstract

The behavior of conducting fluids or plasmas in magnetic fields presents two- or three-dimensional often nonlinear phenomena making analytic calculations and controlled experimental measurements difficult. One may therefore expect that large-scale computer simulation will be of considerable help in elucidating the basic processes of magnetohydrodynamics (MHD), and in building up visual intuition (graphical display techniques). But MHD is, in a sense, an "open-ended" theory for the MHD model of a plasma and the simplest set of equations must often be supplemented by extra terms involving finite Larmor radius, anisotropic heat conduction, ionization and recombination of neutrals, emission and diffusion of radiation, etc, if any accurate comparison with experiment is to be achieved. Often the model itself breaks down, and it is necessary to use the more complete Vlasov or Fokker-Planck equations. Fine scale turbulence may arise and should then be simulated by empirical diffusion coefficients. The full elucidation of the subject by means of observations, experiments, analytic theory, and computer simulation may be expected to take a considerable time. Meanwhile, both the computational physics and the numerical analysis offer interesting fields for research.

Additional information

Authors: ROBERTS K V CULHAM LABORATORY, ABINGDON (UK) POTTER D E IMPERIAL COLLEGE, LONDON (UK) , CULHAM LABORATORY, ABINGDON (UK);IMPERIAL COLLEGE, LONDON (UK)
Bibliographic Reference: PUBLISHED IN "METHODS IN COMPUTATIONAL PHYSICS", VOL. 9 (1970), PP. 339-420 BY ACADEMIC PRESS, NEW YORK (USA)
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