Generalization of Solovev's approach to finding equilibrium solutions for axisymmetric plasmas with flow

	Generalization of Solovev's approach to finding equilibrium solutions for axisymmetric plasmas with flow
刊名	PLASMA SCIENCE & TECHNOLOGY
	2018
卷号	20
关键词	HIGH-BETA TOKAMAK TOROIDAL PLASMA KINK MODE ROTATION STABILITY STABILIZATION theory plasma equilibrium plasma flow
ISSN号	1009-0630
其他题名	Generalization of Solovev's approach to finding equilibrium solutions for axisymmetric plasmas with flow
英文摘要	Solovev's approach of finding equilibrium solutions was found to be extremely useful for generating a library of linear-superposable equilibria for the purpose of shaping studies. This set of solutions was subsequently expanded to include the vacuum solutions of Zheng, Wootton and Solano, resulting in a set of functions {SOLOVEV_ZWS} that were usually used for all toroidally symmetric plasmas, commonly recognized as being able to accommodate any desired plasma shapes (complete-shaping capability). The possibility of extending the Solovev approach to toroidal equilibria with a general plasma flow is examined theoretically. We found that the only meaningful extension is to plasmas with a pure toroidal rotation and with a constant Mach number. We also show that the simplification ansatz made to the current profiles, which was the basis of the Solovev approach, should be applied more systematically to include an internal boundary condition at the magnetic axis; resulting in a modified and more useful set {SOLOVEV_ZWSm}. Explicit expressions of functions in this set are given for equilibria with a quasi-constant current density profile, with a toroidal flow at a constant Mach number and with specific heat capacity 1. The properties of {SOLOVEV_ZWSm} are studied analytically. Numerical examples of achievable equilibria are demonstrated. Although the shaping capability of the set {SOLOVE_ZWSm} is quite extensive, it nevertheless still does not have complete shaping capability, particularly for plasmas with negative curvature points on the plasma boundary such as the doublets or indented bean shaped tokamaks.
资助项目	[Fusion Reactor Physics and Digital Tokamak with the CAS 'One-Three-Five' Strategic Planning, National Natural Science Foundation of China] ; [National Magnetic Confinement Fusion Science Program of China]
语种	英语
CSCD记录号	CSCD:6212869
内容类型	期刊论文
源URL	[http://ir.hfcas.ac.cn:8080/handle/334002/63593]
专题	中国科学院合肥物质科学研究院
推荐引用方式 GB/T 7714	. Generalization of Solovev's approach to finding equilibrium solutions for axisymmetric plasmas with flow[J]. PLASMA SCIENCE & TECHNOLOGY,2018,20.
APA	(2018).Generalization of Solovev's approach to finding equilibrium solutions for axisymmetric plasmas with flow.PLASMA SCIENCE & TECHNOLOGY,20.
MLA	"Generalization of Solovev's approach to finding equilibrium solutions for axisymmetric plasmas with flow".PLASMA SCIENCE & TECHNOLOGY 20(2018).