The Brunt-Väisälä frequency of rotating tokamak plasmas

J. W. Haverkort, H. J. de Blank, B. Koren

Research output: Contribution to journalArticleScientificpeer-review

10 Citations (Scopus)

Abstract

The continuous spectrum of analytical toroidally rotating magnetically confined plasma equilibria is investigated analytically and numerically. In the presence of purely toroidal flow, the ideal magnetohydrodynamic equations leave the freedom to specify which thermodynamic quantity is constant on the magnetic surfaces. Introducing a general parametrization of this quantity, analytical equilibrium solutions are derived that still posses this freedom. These equilibria and their spectral properties are shown to be ideally suited for testing numerical equilibrium and stability codes including toroidal rotation. Analytical expressions are derived for the low-frequency continuous Alfvén spectrum. These expressions still allow one to choose which quantity is constant on the magnetic surfaces of the equilibrium, thereby generalizing previous results. The centrifugal convective effect is shown to modify the lowest Alfvén continuum branch to a buoyancy frequency, or Brunt-Väisälä frequency. A comparison with numerical results for the case that the specific entropy, the temperature, or the density is constant on the magnetic surfaces yields excellent agreement, showing the usefulness of the derived expressions for the validation of numerical codes.

Original languageEnglish
Pages (from-to)981-1001
Number of pages21
JournalJournal of Computational Physics
Volume231
Issue number3
DOIs
Publication statusPublished - 1 Feb 2012
Externally publishedYes

Keywords

  • Analytical solutions
  • Continuous spectrum
  • Convective effect
  • Grad-Shafranov equation
  • Ideal magnetohydrodynamics
  • Plasma flow
  • Toroidal rotation

Fingerprint Dive into the research topics of 'The Brunt-Väisälä frequency of rotating tokamak plasmas'. Together they form a unique fingerprint.

Cite this