MHD Stability Analysis with Higher Order Spline Functions

概要

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The eigenvalue problem of the linearized magnetohydrodynamic(MHD)equation is formulated by using higher order spline functions as the base functions of Ritz-Galerkin approximation. When the displacement vector normal to the magnetic surface(in the magnetic surface)is interpolated by B-spline functions of degree p_1(degree p_2)which is continuously c_1-th(c_2-th)differentiable on neighboring finite elements, the sufficient conditions for the good approximation is given by p_1≥p_2+1, c_1≤c_2+1,(c_1≥1, p_2≥c_2≥O). The influence of the numerical integration upon the convergence of calculated eigenvalues is discussed.
社団法人プラズマ・核融合学会の論文
1999-05-25