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Non-axisymmetric local magnetostatic equilibrium

Part of: Focus on Fusion

Published online by Cambridge University Press:  24 March 2015

J. Candy  and
E. A. Belli
J. Candy*
Affiliation:
General Atomics, P.O. Box 85608, San Diego, CA 92186-5608, USA
E. A. Belli
Affiliation:
General Atomics, P.O. Box 85608, San Diego, CA 92186-5608, USA
*
†Email address for correspondence: [email protected]
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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. Plasmas5, 973). 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.

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 3 , June 2015 , 905810323
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Copyright
Copyright © Cambridge University Press 2015 

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References

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