Simulation Study of Energetic Particle Effects on MHD modes in Tokamaks

随着托卡马克研究项目的发展，利用受限粒子的能量组分对MHD模进行动力学修正变得越来越重要。修改MHD程序以包括动力学效应是非常困难的。回转动力学粒子程序有可能研究MHD模式的动力学修正。因此，我们在GK程序中加入了环形效应和高能粒子，并对托卡马克中的MHD模式进行了模拟。研究结果如下：1.完成了三维回转动力学粒子模拟程序(GK-Code)。2.将GK-代码应用于托卡马克内扭结模式的模拟。成功地模拟了m=1(m为极向模数)和n=1(n为环向模数)的内插扭结模式，并成功地模拟了磁重联引起的内部分裂。3.模拟结果支持Wesson型磁重连，因为完全重连的时间尺度是Alven时间标度。4.完成了包含一阶环状效应的代码。考虑环形效应的GK代码包括磁梯度漂移、磁曲率漂移和镜面效应。5.利用具有环形效应的GK代码模拟了高能离子对内扭结模式的影响。

As the tokamak research projects develop, the kinetic modification of MHD modes by the energetic component of the confined particles becommes progressively important. It is very difficult to modify MHD codes to include the kinetic effects. The gyrokinetic particle code has the possibility to study kinetic modifications of MHD modes. Hence we include the toroidal effects and energetic particles in the GK-code and simulated the MHD modes in tokamaks.The results of the research are as follows : 1.The three dimensional gyrokinetic particle simulation code (GK-code) was completed.2.The GK-code was applied to internal kink mode simulation in Tokamaks. The m=1 (m is a poloidal mode number) and n=1 (n is a toroidal mode number) internak kink mode and the resulting internal distruption due to magnetic reconnection was successfully simulated.3.Simulation results supports the Wesson type magnetic reconnection because the time scale of full reconnection is the order of Alven time scale.4.The code including the first order toroidal effects was completed. The GK-code with toroidal effects includes magnetic gradient drift, magnetic curvature drift, and mirroring effect.5.The effects of energetic ions on the internal kink mode are simulated by using the GK-code with toroidal effects.