Non-axisymmetric local magnetostatic equilibrium

Journal Article · 24 March 2015 · Journal of Plasma Physics

DOI: https://doi.org/10.1017/S0022377815000264 · OSTI ID:1356309

Candy, Jefferey M. ^[1]; Belli, Emily A. ^[1]

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1. General Atomics, San Diego, CA (United States)

In this study, 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. Importantly, this method is novel in that it allows not only specification of 3D shape, but also explicit specification of the shear 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.

• Research Organization: General Atomics, San Diego, CA (United States)
• Sponsoring Organization: USDOE Office of Nuclear Energy (NE)
• Grant/Contract Number: FG02-95ER54309
• OSTI ID: 1356309
• Journal Information: Journal of Plasma Physics, Vol. 81, Issue 03; ISSN 0022-3778
• Publisher: Cambridge University PressCopyright Statement
• Country of Publication: United States
• Language: English