### 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 language | English |
---|---|

Title of host publication | Finite Elements in Fluids |

Place of Publication | Chichester, Engl |

Publisher | John Wiley & Sons |

Pages | 311-323 |

Number of pages | 13 |

Volume | 5 |

ISBN (Print) | 0471903965 |

Publication status | Published - 1984 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Finite Elements in Fluids.*vol. 5, John Wiley & Sons, Chichester, Engl, pp. 311-323.

}

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 -