| 引用本文: | 王一博,王尚武.快速傅立叶变换用于Fokker-Planck-Landau方程的数值求解.[J].国防科技大学学报,2006,28(5):119-122 ，132.[点击复制] |
| WANG Yibo,WANG Shangwu.Numerical Solution of Fokker-Planck-Landau Equation by FFT Technique[J].Journal of National University of Defense Technology,2006,28(5):119-122 ，132[点击复制] |
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| 快速傅立叶变换用于Fokker-Planck-Landau方程的数值求解 |
| 王一博, 王尚武 |
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(国防科技大学 光电科学与工程学院，湖南 长沙 410073)
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| 摘要: |
| 利用谱方法和FFT技术对Fokker-Planck-Landau方程进行了数值求解，研究了均匀空间条件下粒子在速度空间的分布函数随时间的演化。数值计算表明，所用计算方法能够很好地满足质量、动量和能量守恒要求，计算速度与有限差分方法相比大大加快。 |
| 关键词: Fokker-Planck-Landau方程 谱方法 快速傅立叶变换 |
| DOI： |
| 投稿日期：2005-11-10 |
| 基金项目: |
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| Numerical Solution of Fokker-Planck-Landau Equation by FFT Technique |
| WANG Yibo, WANG Shangwu |
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(College of Opto-electronic Science and Engineering, National Univ. of Defense Technology, Changsha 410073，China)
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| Abstract: |
| The spectral method and FFT algorithm were applied to the numerical solution of Fokker-Planck-Landau equation of charged particles transported in plasma, the evolution of the distribution function of charged particles in 3-d velocity space was simulated numerically in homogeneous coordinate space. Computational results show that the conservations of mass, momentum and energy are maintained accurately by the adopted numerical scheme, and the computation cost is reduced considerably. |
| Keywords: Fokker-Planck-Landau equation spectral method, fast Fourier transformation |
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