MHD発展方程式及び固有値問題における数値接続法

Numerical matching scheme for MHD evolution equation and eigenvalue problem

徳田 伸二; 影井 康弘

Tokuda, Shinji; Kagei, Yasuhiro

A new matching scheme for both evolution equation and eigenvalue problem of linear magnetohydrodynamics is proposed in a form that the numerical implementation is tractable. The scheme divides the plasma region into outer regions and inner layers, as in the conventional matching method. However the outer regions do not contain any rational surface as their terminal points; an inner layer contains a rational surface as an interior point. The Newcomb equation is therefore regular in the outer regions. For the eigenvalue problem, the inertial effect in the outer regions is computed by a successive iteration method. The proposed scheme is applied to the linear ideal MHD equation in a cylindrical configuration, and is proved to be effective from the view point of numerical scheme.