计算物理 ›› 1996, Vol. 13 ›› Issue (2): 129-135.

• 论文 •    下一篇

用二维含时Fokker-Planck方程分析Tokamak中α粒子的输运

王少杰, 邱励俭   

  1. 中国科学院等离子体物理研究所, 合肥 230031
  • 收稿日期:1994-10-31 修回日期:1995-09-03 出版日期:1996-06-25 发布日期:1996-06-25

ANALYSIS OF THE α PARTICLE TRANSPORT IN TOKAMAKS BY THE TWO-DIMENSIONAL TIME-DEPENDENT FOKKER-PLANCK EQUATION

Wang Shaojie, Qiu Lijian   

  1. Institute of Plasma Physics, Academia Sinica, Hefei 230031
  • Received:1994-10-31 Revised:1995-09-03 Online:1996-06-25 Published:1996-06-25

摘要: 按分布函数的定义不同,描述高能带电粒子在等离子体中输运的-Planck方程有不同的形式。从数值计算的观点出发对两种不同形式的Fokker-Planck方程作了比较和评价,并指出Fokker-Planck碰撞项可解释为速度空间的对流扩散项。在此基础上用有限差分方法求解二维(速度一维,几何一维)含时Fokker-Planck方程,编制了计算程序CAPT,并将其应用于α粒子的输运研究。最后计算了典型的Tokamak D-T聚变堆参数下α粒子的损失,并给出了堆内α粒子的分布及损失α粒子的速度分布。

关键词: α粒子, Tokamak, Fokker-Plantk方程

Abstract: For different definitions of the distribution function,there are different forms of Fokker-Planck equation to describe the energetic charged particles transport in plasma.The different forms of Fokker-Planck eqation have been compared and evaluated from the viewpoint of numerical calculation,and it is indicated that the Fokker-Planck collision term can be interpreted as the convection diffusion term in the velocity space.Based upon this,a code,CAPT,has been made to solve the two-dimensional (space and velocity) time-dependent Fokker-Planck equation by difference method,and it is applied to study the alpha particles transport problem.The loss of alpha particles has been calculated for a typical Tokamak D-T fusion reactor,and the core alpha particles distribution and the lost alpha particles velocity distribution have also been shown.

Key words: αparticle, Tokamak, Fokker-Planck equation

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