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Phys. Plasmas 17, 012502 (2010); doi:10.1063/1.3276740 (12 pages)

Calculating electron cyclotron current drive stabilization of resistive tearing modes in a nonlinear magnetohydrodynamic model

Thomas G. Jenkins1, Scott E. Kruger2, C. C. Hegna3, Dalton D. Schnack1, and Carl R. Sovinec3

1Department of Physics, University of Wisconsin, Madison, Wisconsin 53706, USA
2Tech-X Corporation, 5621 Arapahoe Avenue Suite A, Boulder, Colorado 80303, USA
3Department of Engineering Physics, University of Wisconsin, Madison, Wisconsin 53706, USA

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(Received 12 August 2009; accepted 3 December 2009; published online 7 January 2010)

A model which incorporates the effects of electron cyclotron current drive (ECCD) into the magnetohydrodynamic equations is implemented in the NIMROD code [ C. R. Sovinec et al., J. Comput. Phys. 195, 355 (2004) ] and used to investigate the effect of ECCD injection on the stability, growth, and dynamical behavior of magnetic islands associated with resistive tearing modes. In addition to qualitatively and quantitatively agreeing with numerical results obtained from the inclusion of localized ECCD deposition in static equilibrium solvers [ A. Pletzer and F. W. Perkins, Phys. Plasmas 6, 1589 (1999) ], predictions from the model further elaborate the role which rational surface motion plays in these results. The complete suppression of the (2,1) resistive tearing mode by ECCD is demonstrated and the relevant stabilization mechanism is determined. Consequences of the shifting of the mode rational surface in response to the injected current are explored, and the characteristic short-time responses of resistive tearing modes to spatial ECCD alignments which are stabilizing are also noted. We discuss the relevance of this work to the development of more comprehensive predictive models for ECCD-based mitigation and control of neoclassical tearing modes.

© 2010 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. PRELIMINARY ECRF/MHD MODEL
    1. The Rutherford equation
  3. Δ′ MODIFICATION IN NIMROD
  4. DYNAMIC RESPONSE TO RF CURRENT SOURCES
    1. ECCD effects on saturated tearing modes
    2. ECCD effects on growing tearing modes: Rational surface response
    3. Numerical experiments: Short-time Δ′ behavior due to inductive response
  5. SUMMARY AND CONCLUSIONS

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KEYWORDS and PACS

PACS

  • 52.35.Py

    Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.)

  • 52.65.Kj

    Magnetohydrodynamic and fluid equation

  • 52.50.Qt

    Plasma heating by radio-frequency fields; ICR, ICP, helicons

  • 52.30.Cv

    Magnetohydrodynamics (including electron magnetohydrodynamics)

PUBLICATION DATA

ISSN:

1070-664X (print)  
1089-7674 (online)

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