The computation of resistive MHD instabilities in axisymmetric toroidal plasmas

T. R. Harley, C. Z. Cheng, S. C. Jardin

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We describe the linear MHD eigenmode code NOVA-R, which calculates the resistive stability of axisymmetric toroidal equilibria. A formulation has been adopted which accurately resolves the continuum spectrum of the ideal MHD operator. The resistive MHD stability equations are transformed into three coupled second-order equations, one of which recovers the equation solved by the NOVA code in the ideal limit. The eigenfunctions are represented by a Fourier expansion and cubic B-spline finite elements which are packed about the internal boundary layer. Accurate results are presented for dimensionless resistivities as low as 10-30 in cylindrical geometry. For axisymmetric toroidal plasmas we demonstrate the accuracy of the NOVA-R code by recovering ideal results in the ν → 0 limit, and cylindrical resistive interchange results in the a R → 0 limit. Δ′ analysis performed using the eigenfunctions computed by the NOVA-R code agree with the asymptotic matching results from the resistive PEST code for zero β equilibria.

Original languageEnglish
Pages (from-to)43-62
Number of pages20
JournalJournal of Computational Physics
Volume103
Issue number1
DOIs
Publication statusPublished - 1992 Nov

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'The computation of resistive MHD instabilities in axisymmetric toroidal plasmas'. Together they form a unique fingerprint.

Cite this