FINITE ELEMENT ANALYSIS OF EQUILIBRIA OF IDEAL MHD PLASMAS IN TORUS REGIONS.

Fumio Kikuchi, Tatsuhiko Aizawa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The determination of equilibrium configurations of MHD plasmas in tokamak-type reactors is quite important in fusion energy research. This paper presents finite element analysis of ideal axisymmetric MHD equilibria in torus regions governed by the Grad-Shafranov equation. The authors employ a simplified model equation, where the nonlinear term is positively homogeneous in the magnetic flux function. Then the problem becomes a nonlinear eigenvalue problem for a semi-linear elliptic equation with two parameters, and the boundary between the vacuum region and the plasma region may be regarded as a free surface which is not known beforehand.

Original languageEnglish
Title of host publicationFinite Elements in Fluids
PublisherJohn Wiley & Sons
Pages311-323
Number of pages13
ISBN (Print)0471903965
Publication statusPublished - 1984 Dec 1

Publication series

NameFinite Elements in Fluids
Volume5

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ASJC Scopus subject areas

  • Engineering(all)

Cite this

Kikuchi, F., & Aizawa, T. (1984). FINITE ELEMENT ANALYSIS OF EQUILIBRIA OF IDEAL MHD PLASMAS IN TORUS REGIONS. In Finite Elements in Fluids (pp. 311-323). (Finite Elements in Fluids; Vol. 5). John Wiley & Sons.