Deterministic and Stochastic Methods for Nonlinear Landau-Fokker-Planck Kinetic Equations with Applications to Plasma Physics
Deterministic and Stochastic Methods for Nonlinear Landau-Fokker-Planck Kinetic Equations with Applications to Plasma Physics
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非线性朗道-福克-普朗克动力学方程的确定性和随机方法及其在等离子体物理中的应用
DOI：
10.1080/00411450802515668
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发表时间：
2008
影响因子：
--
通讯作者：
E. Mossberg
中科院分区：
文献类型：
--
作者：
I. Potapenko;A. V. Bobylev;E. Mossberg
简要回顾了求解非线性空间均匀朗道-福克-普朗克方程的确定性和随机方法。然后我们更详细地描述了Landau-Fokker-Planck方程的完全保守差分格式（由作者获得）以及这些格式在等离子体物理问题中的各种应用。我们也给出了一些渐近解，并与数值结果进行了比较。提出了一种新的直接模拟蒙特卡罗（DSMC）方法，并与基于完全保守格式的数值结果进行了比较。
A short review of deterministic and stochastic methods for nonlinear, spatially uniform Landau-Fokker-Planck equations is given in the Introduction. Then we describe in more detail completely conservative difference schemes (obtained by the authors) for the Landau-Fokker-Planck equations and various applications of these schemes to problems of plasma physics. We also present some asymptotic solutions and compare them with numerical results. A new Direct Simulation Monte Carlo (DSMC) method is also presented and tested by comparison with numerical results based on completely conservative schemes.