Non-axisymmetric local magnetostatic equilibrium. (24th March 2015)

• Record Type: Journal Article
• Authors: Candy, J.; Belli, E. A.
• Is Part Of: Journal of plasma physics. Volume 81:Number 3(2015:Jun.)
• Publication Date: 2015-03-24
• Subjects: Plasma (Ionized gases) -- Periodicals; 530.4405
• DOI: 10.1017/S0022377815000264
• Languages: English
• ISSNs: 0022-3778

Abstract

Abstract : In this work we outline an approach to the problem of local equilibrium in non-axisymmetric configurations that adheres closely to Miller's original method for axisymmetric plasmas (Miller et al. 1998 Phys. Plasmas 5, 973). Importantly, this method is novel in that it allows not only specification of 3D shape, but also explicit specification of theshear in the 3D shape. A spectrally-accurate method for solution of the resulting nonlinear partial differential equations is also developed. We verify the correctness of the spectral method, in the axisymmetric limit, through comparisons with an independent numerical solution. Some analytic results for the two-dimensional case are given, and the connection to Boozer coordinates is clarified.