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arXiv · 1908.04449

Exact Solov'ev equilibrium with an arbitrary boundary

A. Y. Aydemir·B. H. Park·K. S. Han
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Abstract

Exact Solov'ev equilibria for arbitrary plasma cross-sections are calculated using a constrained least-squares method. The boundary, with or without $X$-points, can be specified with an arbitrarily large number of constraints to ensure an accurate representation. Thus, the order of the polynomial basis functions in the homogeneous solution of the Grad-Shafranov equation becomes an independent parameter determined only by the accuracy requirements of the overall solution. Examples of exact, highly-shaped equilibria are presented.

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A. Y. Aydemir, B. H. Park, K. S. Han. 2019-08-14. Exact Solov'ev equilibrium with an arbitrary boundary. https://doi.org/10.1063/1.5124138

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