Solving the Grad–Shafranov equation using spectral elements for tokamak equilibrium with toroidal rotation

Li, Haolong; Zhu, Ping

doi:10.1016/j.cpc.2020.107264

Title: Solving the Grad–Shafranov equation using spectral elements for tokamak equilibrium with toroidal rotation

Journal Article · Tue Mar 09 00:00:00 EST 2021 · Computer Physics Communications

DOI:https://doi.org/10.1016/j.cpc.2020.107264· OSTI ID:1849927

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Univ. of Science and Technology of China, Hefei (China). Dept. of Engineering and Applied Physics. CAS Key Lab. of Geospace Environment
Huazhong Univ. of Science and Technology, Wuhan (China). School of Electrical and Electronic Engineering. State Key Lab. of Advanced Electromagnetic Engineering and Technology. International Joint Research Lab. of Magnetic Confinement Fusion and Plasma Physics; Univ. of Wisconsin, Madison, WI (United States). Dept. of Engineering Physics

The Grad–Shafranov equation is solved using spectral elements for tokamak equilibrium with toroidal rotation. The Grad–Shafranov solver builds upon and extends the NIMEQ code (Howell and Sovinec, 2014) previously developed for static tokamak equilibria. Both geometric and algebraic convergence are achieved as the polynomial degree of the spectral-element basis increases. A new analytical solution to the Grad–Shafranov equation is obtained for Solov’ev equilibrium in presence of rigid toroidal rotation, in addition to a previously obtained analytical solution for a different set of equilibrium and rotation profiles. The numerical solutions from the extended NIMEQ are benchmarked with the analytical solutions, with good agreements. Besides, the extended NIMEQ code is benchmarked with the FLOW code (Guazzotto et al., 2004). The modification of pressure profile induced by toroidal flow is investigated. The relative change of pressure profile is found significant around the edge.

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Research Organization:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Fundamental Research Funds for the Central Universities; National Natural Science Foundation of China (NSFC)

Grant/Contract Number:: FG02-86ER53218; SC0018001; 11775221; 51821005; 2019kfyXJJS193

OSTI ID:: 1849927

Alternate ID(s):: OSTI ID: 1756005

Journal Information:: Computer Physics Communications, Vol. 260, Issue C; ISSN 0010-4655

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Title: Solving the Grad–Shafranov equation using spectral elements for tokamak equilibrium with toroidal rotation

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