Existence and Stability of a Model for Three-Dimensional Toroidal Plasma Equilibria

三维环形等离子体平衡模型的存在性和稳定性

• 批准号: DP0452728
• 负责人: Em/Prof Robert Dewar
• 金额: $ 17.76万
• 依托单位: The Australian National University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2004
• 资助国家: 澳大利亚
• 起止时间: 2004-01-01 至 2007-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0452728
• 关键词: Existence; Stability; Model; Three; Dimensional

There is great physical interest in modelling strongly non-axisymmetric toroidal plasmas, but fundamental existence problems have made rigorous numerical analysis so far impossible. We seek to overcome this by investigating a class of idealized, but physically motivated, magnetohydrodynamic equilibria with stepped pressure profiles for which existence in the neighbourhood of axisymmetry has been proven. We will (i) develop numerical techniques to extend these piece-wise Beltrami states far away from axisymmetry (ii) develop practical tests to determine when existence breaks down (iii) analyze the frequency spectrum of small oscillations about such equilibria (iv) extend the model to two-fluid MHD.

有很大的物理兴趣，强烈的非轴对称环形等离子体建模，但基本存在的问题，严格的数值分析到目前为止是不可能的。我们试图克服这一点，通过调查一类理想化的，但物理动机，磁流体动力学平衡与阶梯压力分布的存在，在附近的轴对称已被证明。我们将（i）开发数值技术，以延长这些分段Beltrami状态远离轴对称（ii）开发实际的测试，以确定何时存在故障（iii）分析频谱的小振荡等平衡（iv）扩展模型到两个流体MHD。