Resistive toroidal stability of internal kink modes in circular and shaped tokamaks

A. Bondeson, G. Vlad, H. Lütjens

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The linear resistive magnetohydrodynamical stability of the n=1 internal kink mode in tokamaks is studied numerically. The stabilizing influence of small aspect ratio [Holmes et al., Phys. Fluids B 1, 788 (1989)] is confirmed, but it is found that shaping of the cross section influences the internal kink mode significantly. For finite pressure and small resistivity, curvature effects at the q=1 surface make the stability sensitively dependent on shape, and ellipticity is destabilizing. Only a very restricted set of finite pressure equilibria is completely stable for q0< 1. A typical result is that the resistive kink mode is slowed down by toroidal effects to a weak resistive tearing/interchange mode. It is suggested that weak resistive instabilities are stabilized during the ramp phase of the sawteeth by effects not included in linear resistive magnetohydrodynamics. Possible mechanisms for triggering a sawtooth crash are discussed. © 1992 American Institute of Physics.
Original languageEnglish
Pages (from-to)1889 - 1901
Number of pages13
JournalPhysics of Fluids B
Issue number7
Publication statusPublished - 1992
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

Cite this

Bondeson, A., Vlad, G., & Lütjens, H. (1992). Resistive toroidal stability of internal kink modes in circular and shaped tokamaks. Physics of Fluids B, 4(7), 1889 - 1901.