Numerical study of the formation, ion spin-up and nonlinear stability properties of field-reversed configurations

E. V. Belova, R. C. Davidson, H. Ji, M. Yamada, C. D. Cothran, M. R. Brown, M. J. Schaffer

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Abstract

Results of three-dimensional (3D) numerical simulations of field-reversed configurations (FRCs) are presented. The emphasis of this work is on the nonlinear evolution of magnetohydrodynamic (MHD) instabilities in kinetic FRCs and the new FRC formation method by counter-helicity spheromak merging. Kinetic simulations show nonlinear saturation of the n ≤ 1 tilt mode, where n is the toroidal mode number. The n ≤ 2 and n ≤ 3 rotational modes are observed to grow during the nonlinear phase of the tilt instability due to the ion spin-up in the toroidal direction. The ion toroidal spin-up is shown to be related to the resistive decay of the internal flux and the resulting loss of particle confinement. Three-dimensional MHD simulations of counter-helicity spheromak merging and FRC formation show good qualitative agreement with the results from the SSX-FRC experiment. The simulations show the formation of an FRC in about 20-30 Alfvén times for typical experimental parameters. The growth rate of the n ≤ 1 tilt mode is shown to be significantly reduced compared with the MHD growth rate due to the large plasma viscosity and field-line-tying effects.

Original languageEnglish (US)
Pages (from-to)162-170
Number of pages9
JournalNuclear Fusion
Volume46
Issue number1
DOIs
StatePublished - Jan 1 2006

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Condensed Matter Physics

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    Belova, E. V., Davidson, R. C., Ji, H., Yamada, M., Cothran, C. D., Brown, M. R., & Schaffer, M. J. (2006). Numerical study of the formation, ion spin-up and nonlinear stability properties of field-reversed configurations. Nuclear Fusion, 46(1), 162-170. https://doi.org/10.1088/0029-5515/46/1/018