原子能科学技术Issue(6)：966-971,6.DOI:10.7538/yzk.2015.49.06.0966
一维 Fokker-Planck 方程的有限体积法求解及其在中性束注入加热中的应用
One-dimensional Fokker-Planck Equation Solving by Finite Volume Method and Its Application in Neutral Beam Injection Heating
摘要
Abstract
The one‐dimensional Fokker‐Planck equation was solved by finite volume method .The reliability of program was verified by simulation of electron self‐collision . T he results show that the numerical scheme assures positive distribution function and particle number conservation .It is an effective method of solution for Fokker‐Planck equation .And the overshoot of the Maxwell distribution that arouse from Fokker‐Planck equation solving by traditional numerical method was eliminated .Furthermore , the evolutions of ion distribution function and temperature were simulated in neutral beam injection heating on the HL‐2A .The results show that the ion distribution func‐tion tends to non‐Maxwell distribution as the neutral beam injects ,and the ion tempera‐ture rises rapidly and then reaches stability .The effects of beam power and energy on the ion temperature were investigated ,and the results show that the ion temperature increases with the beam power and energy .The change is more obvious by increasing beam energy than power .关键词
有限体积法/Fokker-Planck方程/分布函数演化/中性束注入加热Key words
finite volume method/Fokker-Planck equation/evolution of distribution function/neutral beam injection heating分类
数理科学引用本文复制引用
张能,龚学余,黄千红,侯伟,谢宝艺,余江妹,李景春..一维 Fokker-Planck 方程的有限体积法求解及其在中性束注入加热中的应用[J].原子能科学技术,2015,(6):966-971,6.基金项目
国际热核聚变实验堆计划专项资助项目（2014GB108002）；国家自然科学基金资助项目（11375085）；湖南省核聚变与等离子体物理创新团队建设资助项目（NHXTD03）；衡阳市科技局资助项目（2013KJ24）；南华大学研究生科研创新资助项目 （）
