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Two-dimensional nonlinear cylindrical equilibria with reversed magnetic shear and sheared flow

Published online by Cambridge University Press:  12 November 2013

AP Kuiroukidis  and
G. N. Throumoulopoulos
AP Kuiroukidis
Affiliation:
Technological Education Institute of Serres, 62124 Serres, Greece
G. N. Throumoulopoulos*
Affiliation:
Department of Physics, University of Ioannina, Association Euratom-Hellenic Republic, GR 451 10 Ioannina, Greece
*
†Email address for correspondence: gthroum@uoi.gr
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Abstract

Nonlinear translational symmetric equilibria with up to quartic flux terms in free functions, reversed magnetic shear, and sheared flow are constructed in two ways: (i) quasi-analytically by an ansatz, which reduces the pertinent generalized Grad–Shafranov equation to a set of ordinary differential equations and algebraic constraints which is then solved numerically, and (ii) completely numerically by prescribing analytically a boundary having an X-point. This latter case presented in Sec. 4 is relevant to the International Thermonuclear Experimental Reactor project. The equilibrium characteristics are then examined by means of pressure, safety factor, current density, and electric field. For flows parallel to the magnetic field, the stability of the equilibria constructed is also examined by applying a sufficient condition. It turns out that the equilibrium nonlinearity has a stabilizing impact, which is slightly enhanced by the sheared flow. In addition, the results indicate that the stability is affected by the up-down asymmetry.

Type
Papers
Information
Journal of Plasma Physics , Volume 80 , Issue 1 , February 2014 , pp. 27 - 41
Copyright
Copyright © Cambridge University Press 2013 

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