Exact Solov'ev equilibrium with an arbitrary boundary
Plasma Physics
2019-11-06 v2 Computational Physics
Abstract
Exact Solov'ev equilibria for arbitrary plasma cross-sections are calculated using a constrained least-squares method. The boundary, with or without -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.
Keywords
Cite
@article{arxiv.1908.04449,
title = {Exact Solov'ev equilibrium with an arbitrary boundary},
author = {A. Y. Aydemir and B. H. Park and K. S. Han},
journal= {arXiv preprint arXiv:1908.04449},
year = {2019}
}
Comments
12 pages, 3 figures v2: In Eq. 7 and in the captions for Figs. 2 and 3, the constants A and C have been switched