磁気流体力学安定性問題で現れるNewcomb方程式の理論とその応用

Theory of the Newcomb equation and its application in magnetohydrodynamic stability problems

徳田 伸二

Tokuda, Shinji

トカマクプラズマにおける磁気流体力学安定性問題で現れるNewcomb方程式では有理面が確定特異点となる。確定特異点のまわりのFrobenius解は、さまざまなMHD安定性問題で重要な役割を果たす。本研究では、Newcomb方程式の固有値問題の解に含まれる特異解をLegendre多項式を用いて数値的に取り出す計算法を論じる。

The Newcomb equation arising in magnetohydrodynamic stability problems for a tokamak plasma has regular singular poins that are rational surfaces. The Frobenius solution around the regular singular point plays important roles in various MHD problems. A numerical method is proposed which extracts, by using Legendre polynomials, the singular solution included in a solution for the eigenvalue problem associated with the Newcomb equation.