计算物理 ›› 1996, Vol. 13 ›› Issue (4): 466-474.

• 论文 • 上一篇    下一篇

撕裂模环效应耦合的数值模拟

彭点云, 肖成馨, 邱孝明   

  1. 核工业西南物理研究院, 成都 610041
  • 收稿日期:1995-08-15 修回日期:1996-08-07 出版日期:1996-12-25 发布日期:1996-12-25

NUMERICAL SIMULATION OF TEARING MODE WITH TOROIDAL COUPLING

Peng Dianyun, Xiao Chengxin, Qiu Xiaoming   

  1. Southwestern Institute of Physics, Chengdu, P. O. Box 432, 610041
  • Received:1995-08-15 Revised:1996-08-07 Online:1996-12-25 Published:1996-12-25

摘要: 应用三点中心差分格式求解了在端点有二阶可去奇点和在有理面上具有一阶不可去奇点的撕裂模方程,并提出了近似等价网格的构造方法。在不同的安全因子分布下,对具有环效应耦合撕裂模方程进行了数值模拟,得到相应的判断稳定性的连接参量、耦合强度参数、增长因子等物理量。通过这些数值结果可以得出,环效应在线性阶段对撕裂模的影响是很小的

关键词: 撕裂模方程, 差分格式, 近似等价网格

Abstract: Three-point center difference scheme is employed to solve tearing mode equations which have the second-order removing singularity at an interval end and the first-order non-removing sigularity on the rational magnetic surface in the interval. A method of approximately equivalent grids is presented. The numerical simulations of the tearing mode equations with toroidal coupling are done under different safety factor distributions, and give the corresponding link parameters which can determine the stability of the mode, coupling intensity parameters, growing factors. These numerical results show that the toroidal coupling effect in linear stage has a little influence.

Key words: Tearing Mode Equations, Difference Scheme, Approximately equivalent Grids

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