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Global searches of Hartmann-number-dependent stability boundaries

X Shan, D Montgomery1993年Plasma Physics and Controlled FusionIF 2.2出版社

A numerical technique is developed for searching for the stability boundary for a resistive, straight-cylinder, magnetohydrodynamic equilibrium with spatially-dependent resistivity. For fixed aspect ratio, the boundary is a curve in the plane whose axes are Hartmann number and pinch ratio (or reciprocal of the safety factor at the wall). The technique is spectral and utilizes orthonormal eigenfunctions of the curl. Nonlinear behavior above the stability boundary is computed for a particular profile, using a nonlinear version of the code.

日本語訳

抵抗性が空間に依存する磁気流体力学平衡における安定性境界を探索するための数値手法を開発する。固定されたアスペクト比に対して、境界はハルトマン数とピンチ比(または壁における安全係数の逆数)を軸とする平面上の曲線となる。この手法はスペクトル法に基づき、回転(curl)の正規直交固有関数を利用する。安定性境界を超えた非線形挙動は、コードの非線形版を用いて特定のプロファイルについて計算される。

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