Study of the MHD Instabilities of a Cylindrical Belt Pinch Using the Finite Element Method.

Abstract

The hydromagnetic stability of a cylindrical pinch of rectangular cross section is studied numerically using the finite element method. The plasma is subdivided into a number of rectangular elements within each of which the perturbations are expressed in terms of nodal values which are taken as parameters of a Lagrangian. Minimizing the Lagrangian with respect to these variables produces an eigenvalue problem. The stability of the pinch is determined from the eigenvalues. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 25, 1974
Accession Number
ADA000540

Entities

People

  • G. A. Gardner
  • L. R. T. Gardner

Organizations

  • University of Innsbruck

Tags

DTIC Thesaurus Topics

  • Eigenvalues
  • Finite Element Analysis
  • Instability
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Perturbations

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Plasma Physics / Magnetohydrodynamics
  • Systems Analysis and Design