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
Place of PublicationChichester, Engl
PublisherJohn Wiley & Sons
Pages311-323
Number of pages13
Volume5
ISBN (Print)0471903965
Publication statusPublished - 1984
Externally publishedYes

Fingerprint

Magnetohydrodynamics
Plasmas
Finite element method
Magnetic flux
Fusion reactions
Vacuum

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 (Vol. 5, pp. 311-323). Chichester, Engl: John Wiley & Sons.

FINITE ELEMENT ANALYSIS OF EQUILIBRIA OF IDEAL MHD PLASMAS IN TORUS REGIONS. / Kikuchi, Fumio; Aizawa, Tatsuhiko.

Finite Elements in Fluids. Vol. 5 Chichester, Engl : John Wiley & Sons, 1984. p. 311-323.

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

Kikuchi, F & Aizawa, T 1984, FINITE ELEMENT ANALYSIS OF EQUILIBRIA OF IDEAL MHD PLASMAS IN TORUS REGIONS. in Finite Elements in Fluids. vol. 5, John Wiley & Sons, Chichester, Engl, pp. 311-323.
Kikuchi F, Aizawa T. FINITE ELEMENT ANALYSIS OF EQUILIBRIA OF IDEAL MHD PLASMAS IN TORUS REGIONS. In Finite Elements in Fluids. Vol. 5. Chichester, Engl: John Wiley & Sons. 1984. p. 311-323
Kikuchi, Fumio ; Aizawa, Tatsuhiko. / FINITE ELEMENT ANALYSIS OF EQUILIBRIA OF IDEAL MHD PLASMAS IN TORUS REGIONS. Finite Elements in Fluids. Vol. 5 Chichester, Engl : John Wiley & Sons, 1984. pp. 311-323
@inproceedings{742b14d6295c4c5f849ecb4729bbaecc,
title = "FINITE ELEMENT ANALYSIS OF EQUILIBRIA OF IDEAL MHD PLASMAS IN TORUS REGIONS.",
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.",
author = "Fumio Kikuchi and Tatsuhiko Aizawa",
year = "1984",
language = "English",
isbn = "0471903965",
volume = "5",
pages = "311--323",
booktitle = "Finite Elements in Fluids",
publisher = "John Wiley & Sons",

}

TY - GEN

T1 - FINITE ELEMENT ANALYSIS OF EQUILIBRIA OF IDEAL MHD PLASMAS IN TORUS REGIONS.

AU - Kikuchi, Fumio

AU - Aizawa, Tatsuhiko

PY - 1984

Y1 - 1984

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0021665261&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021665261&partnerID=8YFLogxK

M3 - Conference contribution

SN - 0471903965

VL - 5

SP - 311

EP - 323

BT - Finite Elements in Fluids

PB - John Wiley & Sons

CY - Chichester, Engl

ER -