导心轨道模拟中对磁场计算方法的改进
Improved Calculation of Magnetic Field in Simulation of Guiding-Center Motion
-
摘要: 在导心轨道的计算中,用离散傅立叶变换对二维磁场信息沿角向进行变换,得到各阶谐波分量随极向磁通变化的拟合公式,用此生成磁场。数值模拟结果表明,该方法在精度上和传统的样条插值一致,可以在角向和极向上求任意阶导数,为磁岛和撕裂膜的计算提供了便利.Abstract: In simulation of a charged particle's guiding-center orbit in Tokamak equilibrium configurations, an efficient way to build physical functions such as magnetic field was obtained. Discrete Fourier transform is applied to replace cubic spline interpolation and B spline interpolation methods in calculation of gulding-center's trajectory. It has same accuracy as cubic spline interpolation and facilitates calculations in tearing mode as well. The method holds naturally property of symmetry. Derivatives of 3rd order or above can be obtained easily. Moreover, effect of incorrect data is reduced to the minimal limit compared with cubic spline interpolation.