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Boundary Element Analysis of MHD Equilibria of Toroidal Plasmas with Free Boundaries

  • M. Tsuchimoto
  • T. Honma
  • S. Yatsu
  • T. Kasahara
Conference paper
  • 23 Downloads

Summary

In the analysis of magnetohydrodynamic (MHD) equilibria of toroidal plasmas, we have to use numerical methods because of the non-linear governing equation. For an analysis of a field reversed configuration (FRC) device, the problem is reduced to solve the Grad-Shafranov equation with free boundaries, which has been studied by many authors [1,2]. So far we have been studying MHD equilibria fixed boundary problems by using boundary element method (BEM) [3,4]. In this paper, we solve a free boundary problem for a model of a FRC device, and obtain converged solutions with an iteration method.

References

  1. [1]
    R. L. Spencer and D. W. Hewett, “Free Boundary Field-reversed Configuration (FRC) Equilibria in a Conducting Cylinder”, Phys. Fluids, 25 (8), 1982, pp. 1365–1369.ADSCrossRefzbMATHGoogle Scholar
  2. [2]
    K. Suzuki, “Effect of the Plasma outside the Seperatrix in Field Reversed Equilibria”, Journal of the Phys. Soc. of Japan, Vol. 55, No. 1,1986, pp. 158–164.ADSCrossRefGoogle Scholar
  3. [3]
    M. Tsuchimoto, T. Honma, S. Yatsu, T. Kasahara and I. Kaji, “An Analysis of Nonlinear MHD Equilibria of Compact Tori by Using Boundary Element Method”, Proc. of 1987 Conf. on the Comp, of Electromagnet Fields, Graz, 1987, pp. 45–46.Google Scholar
  4. [4]
    M. Tsuchimoto, T. Honma, S. Yatsu and I. Kaji, “Nonlinear Analysis of MHD Equilibria of Toroidal Plasmas Using Boundary Element Method”, Engineering Analysis, to be published.Google Scholar
  5. [5]
    Y. Suzuki, “Free-Boundary MHD-Equilibria in Axisymmetric Tori”, Nuclear Fusion, 14, 1974, pp. 345–352.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • M. Tsuchimoto
    • 1
  • T. Honma
    • 1
  • S. Yatsu
    • 1
  • T. Kasahara
    • 1
  1. 1.Department of Electrical Engineering, Faculty of EngineeringHokkaido UniversityKita-ku, Sapporo 060Japan

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