Numerical Study of Field-reversed Configurations: The Formation and Ion Spin-up

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Results of three-dimensional numerical simulations of field-reversed configurations (FRCs) are presented. 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 ... continued below

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1.2 MB pages

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Belova, E. V.; Davidson, R. C.; Ji, H.; Yamada, M.; Cothran, C. D.; Brown, M. R. et al. June 6, 2005.

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Description

Results of three-dimensional numerical simulations of field-reversed configurations (FRCs) are presented. 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 results from the SSX-FRC experiment. The simulations show formation of an FRC in about 20-30 Alfven times for typical experimental parameters. The growth rate of the n = 1 tilt mode is shown to be significantly reduced compared to the MHD growth rate due to the large plasma viscosity and field-line-tying effects.

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1.2 MB pages

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INIS; OSTI as DE00840784

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  • Other Information: PBD: 6 Jun 2005

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  • Report No.: PPPL-4075
  • Grant Number: AC02-76CH03073
  • DOI: 10.2172/840784 | External Link
  • Office of Scientific & Technical Information Report Number: 840784
  • Archival Resource Key: ark:/67531/metadc783301

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  • June 6, 2005

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  • Dec. 3, 2015, 9:30 a.m.

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  • June 10, 2016, 8:28 p.m.

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Belova, E. V.; Davidson, R. C.; Ji, H.; Yamada, M.; Cothran, C. D.; Brown, M. R. et al. Numerical Study of Field-reversed Configurations: The Formation and Ion Spin-up, report, June 6, 2005; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc783301/: accessed May 20, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.