撕裂模研究中一类奇异边值问题的数值解法

THE SOLUTION OF SINGULAR BOUNDARY VALUE PROBLEMS IN TEARING MODE

  • 摘要: 在数值求解自洽螺旋平衡方程的基础上,计算了撕裂模不稳定性对电流分布的依赖关系,考虑了外螺旋场对安全因子的影响。我们采用了动态交替隐式法来加速平衡方程的收敛,用差分方法有效地处理了具有两个奇点的奇异边值问题。

     

    Abstract: A numerical code has been established for solving self-consistent equilibrium equation and calculating the dependence of the tearing mode on the current density profile. The external belieal field effect is included in it.The dynamic alternating direction implicit method is applied to speed up the convergence of solution of equilibrium equation and three-point difference secheme is taken to solve the singular boundary value problem with two singular points.

     

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