Two-dimensional shaping of Solov'ev equilibrium with vacuum using external coils

Journal Article · 09 August 2022 · Physics of Plasmas

DOI: https://doi.org/10.1063/5.0096256 · OSTI ID:1979103

Liu, Jiaxing  ^[1]; Zhu, Ping  ^[2]; Li, Haolong  ^[3]

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1. Huazhong Univ. of Science and Technology, Wuhan (China); Huazhong Univ. of Science and Technology, Wuhan (China)
2. Huazhong Univ. of Science and Technology, Wuhan (China); Univ. of Wisconsin, Madison, WI (United States)
3. Shenzhen Univ. (China)

In this work, we demonstrate a method for constructing the Solov'ev equilibrium with any given 2D shape surrounded by a vacuum region using external poloidal field coils, based on the method previously developed by T. Xu and R. Fitzpatrick [Nuclear Fusion, 59, 064002 (2019)]. The computational domain consists of two parts: the plasma region, where the solution is the same as the Solov'ev solution, and the vacuum region, where the magnetic field generated by external coils as well as plasma current is determined using the Green function method through a matching condition near the separatrix. However, the method is not limited to the Solov'ev equilibrium in particular. In conclusion, the accuracy, efficiency, and robustness of such a scheme suggest that this method may be applied to the 2D shaping of a tokamak plasma with a vacuum region using external coils in general.

• Research Organization: Univ. of Wisconsin, Madison, WI (United States)
• Sponsoring Organization: Fundamental Research Funds for the Central Universities; National Key Research and Development Program of China; National Natural Science Foundation of China (NSFC); USDOE; USDOE Office of Science (SC)
• Grant/Contract Number: FG02-86ER53218; SC0018001
• OSTI ID: 1979103
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 8 Vol. 29; ISSN 1070-664X
• Publisher: American Institute of Physics (AIP)Copyright Statement
• Country of Publication: United States
• Language: English