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New numerical tools to study waves and instabilities of flowing plasmas

机译：研究流动等离子体的波和不稳定性的新数值工具

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摘要

Studying plasma waves and instabilities is an indispensable part of present thermonuclear fusion and astrophysical magnetohydrodynamics (MHD). Up till recently, spectral analysis was mostly restricted to static plasmas. However, the assumption of a static plasma is unrealistic not only for astrophysical but also for modern fusion research. Plasmas with flow have been shown to have spectra essentially different from those of static plasmas [Phys. Rev. Lett. 84 (2000) 2865]. We present two new numerical tools for spectral studies of plasmas with flow. The first one, a program called FINESSE (Finite Element Solver for Stationary Equilibria), computes equilibria of non-static plasmas for a variety of fusion and astrophysical configurations (tokamaks, solar loops, solar winds, etc.). Ideal and resistive spectra of the computed equilibria are studied with another tool, a program called PHOENIX. In PHOENIX, the large-scale generalized eigenproblems are solved with the recently proposed iterative jacobi-Davidson method [SIAM J. Matrix Anal. App. 17 (1996) 401]. Our numerical examples show how FINESSE and PHOENIX can be used to study the effect of the poloidal flows on Toroidal Alfven Eigenmodes.
机译：研究等离子体波和不稳定性是当前热核聚变和天体磁流体动力学（MHD）必不可少的部分。直到最近，光谱分析仍主要限于静态等离子体。但是，静态等离子体的假设不仅对于天体物理而且对于现代聚变研究都是不现实的。流动等离子体已经显示出与静态等离子体具有本质上不同的光谱[Phys。莱特牧师84（2000）2865]。我们提出了两个新的数值工具，用于对带流动的等离子体进行光谱研究。第一个程序称为FINESSE（固定平衡的有限元求解器），它计算各种融合和天体构造（托卡马克，太阳回路，太阳风等）的非静态等离子体的平衡。用另一种工具（称为PHOENIX的程序）研究了计算出的平衡的理想和电阻谱。在PHOENIX中，大规模的广义特征问题通过最近提出的迭代jacobi-Davidson方法[SIAM J. Matrix Anal。应用程式17（1996）401]。我们的数值示例说明了如何使用FINESSE和PHOENIX来研究极向流动对环形Alfven本征模的影响。

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