Magnetohydrodynamic calculations with a nonmonotonic q profile and equilibrium, sheared toroidal flow

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The linear and nonlinear stability of a nonmonotonic q profile is examined using a reduced set of magnetohydrodynamic (MHD) equations with an equilibrium, sheared toroidal flow. The reversed shear profile is shown to be unstable to a rich variety of resistive MHD modes including pressure-driven instabilities and tearing instabilities possessing a tearing/interchange character at low Lundquist number, S, and taking on a double/triple tearing structure at high S. Linear calculations show that the destabilizing effect of toroidal velocity shear on tearing modes is enhanced at finite pressure seen previously for tearing modes at high S. Nonlinear calculations show the generation ... continued below

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34 p.

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Held, E.D.; Leboeuf, J.N. & Carreras, B.A. July 1, 1998.

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  • Held, E.D. Univ. of Wisconsin, Madison, WI (United States). Center for Plasma Theory and Computation
  • Leboeuf, J.N.
  • Carreras, B.A. Oak Ridge National Lab., TN (United States). Fusion Energy Div.

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Description

The linear and nonlinear stability of a nonmonotonic q profile is examined using a reduced set of magnetohydrodynamic (MHD) equations with an equilibrium, sheared toroidal flow. The reversed shear profile is shown to be unstable to a rich variety of resistive MHD modes including pressure-driven instabilities and tearing instabilities possessing a tearing/interchange character at low Lundquist number, S, and taking on a double/triple tearing structure at high S. Linear calculations show that the destabilizing effect of toroidal velocity shear on tearing modes is enhanced at finite pressure seen previously for tearing modes at high S. Nonlinear calculations show the generation of a large, m = 1, n = 0, Reynolds-stress-driven poloidal flow in the absence of significant flow damping. Calculations in which the poloidal flow was heavily damped show that sub-Alfvenic, sheared toroidal flows have a minimal effect on weakly-coupled, localized instabilities.

Physical Description

34 p.

Notes

INIS; OSTI as DE99001534

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  • Other Information: PBD: Jul 1998

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  • Other: DE99001534
  • Report No.: UW-CPTC--98-9
  • DOI: 10.2172/307907 | External Link
  • Office of Scientific & Technical Information Report Number: 307907
  • Archival Resource Key: ark:/67531/metadc684785

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Creation Date

  • July 1, 1998

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

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  • Nov. 6, 2015, 3:26 p.m.

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Held, E.D.; Leboeuf, J.N. & Carreras, B.A. Magnetohydrodynamic calculations with a nonmonotonic q profile and equilibrium, sheared toroidal flow, report, July 1, 1998; United States. (digital.library.unt.edu/ark:/67531/metadc684785/: accessed June 24, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.