MHD数値シミュレーションと数値解析(<小特集>核融合)

概要

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In the controlled thermonuclear fusion research, it is important to simulate numerically possible plasma equilibria and to judge if a given equilibrium is stable or not. It is also important to have a detailed knowledge about possible plasma movement around the equilibrium. We survey the linearized mathematical analysis for this problem and corresponding numerical procedure based on the finite element method. The notion of essential spectra for the linearized operator is introduced and explain its important role in the approximation of the spectrum. The main difficulty in the approximation is the so-called spectral pollution phenomena which are caused by the inappropriate choice of the finite element basis. We give some numerical examples as well as theoretical results how we can avoid the pollution. Brief introduction to the analysis for the case with finite resistivity is also included.
日本シミュレーション学会の論文
1993-06-15