回転楕円体導体容器中におけるフラックスコアスフェロマックの平衡配位

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  • Equilibrium Analysis of Flux-Core Spheromaks in a Spheroidal Conductive Vessel
  • カイテン ダエンタイ ドウタイ ヨウキチュウ ニ オケル フラックス コアスフ

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This paper presents the theoretical analyses of the equilibrium configuration of flux-core spheromaks (FCS) in a spheroidal conductive vessel. The Grad-Shafranov equation for force-free Taylor states is analytically solved. The solution is represented by a series expansion of the spheroidal function. The spheroidal function is expanded by Bessel functions, whose coefficients are refered in Stratton's table. As the boundary condition, the presence is assumed of a certain amount of external fluxes that axially penetrate the vessel through polar caps of the vessel. The equilibrium configuration is determined by flux functions assumed on the polar caps of a flux conserving vessel and a ratio of j to B. Classification is made of the FCS configurations in terms of appearance and location of null (X) points of the separatrix. Particularly, the conditions are parametrically searched for FCS configurations that have double null points at the rim of the center holes. In our numerical calculations, the number of expansion terms is limited by Stratton's table. Therefore, their accuracy is insufficient in strongly oblated configurations or configurations with small polar caps.

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