格子Boltzmann方法在流注放电方程求解中的应用

Lattice Boltzmann Method for Short Air Gap Streamer Discharge Simulation

针对流注放电仿真过程中粒子输运方程求解难的问题,应用格子Boltzmann方法设计更简单计算量更小的求解模型.文中给出了基于D1Q3格子模型的1.5维流注放电仿真模型,电子输运方程和正离子输运方程数值求解方法,并利用该模型对大气压下平板电极间N2气体两种流注发展过程进行了数值仿真,从而证明了利用格子Boltzmann方法对流注放电仿真进行研究的可行性.

For the solution of particle transport equations, a new simple model by lattice Bohzmann equation is developed. In this paper, one 1.5 dimensional model of streamer discharge is described by D1 Q3 lattice model, and lattice Boltzmann method is further extended to electron transport equation and positive ion. Negative streamer propagation and double -headed streamer propagation are simulated in gas N2 at atmospheric pressure. At last the application of lattice Boltzmann method is predicted successfully by compared with the previous references.