论文标题
使用快速多极方法在流弹片放电中的光电离计算的准确计算
Accurate and efficient calculation of photoionization in streamer discharges using fast multipole method
论文作者
论文摘要
本文重点介绍了流媒体放电中光电离的三维模拟，并提供了一个通用框架，以使用积分形式有效，准确地计算光电报模型。模拟基于与内核无关的快速多极方法。与基于偏微分方程（PDES）的其他现有模型相比，针对不同域和各种压力进行了定量研究此方法的准确性。比较表明，快速多极方法的数值误差要比基于其他PDE的方法的数值误差要小得多，而直接数值集成给出了参考解决方案。可以通过负担得起的计算成本来实现这种准确性，并且其在效率和准确性方面的性能对于不同的域和压力都非常稳定。同时，通过快速多极方法加速的仿真表现出良好的可扩展性，使用了多达1280个核心，该核心使用并联（分布式）计算显示了其三维模拟的能力。在三维动态问题中，还研究了所提出的方法和其他有效近似值的差异，其中两个流媒体相互作用。
This paper focuses on the three-dimensional simulation of the photoionization in streamer discharges, and provides a general framework to efficiently and accurately calculate the photoionization model using the integral form. The simulation is based on the kernel-independent fast multipole method. The accuracy of this method is studied quantitatively for different domains and various pressures in comparison with other existing models based on partial differential equations (PDEs). The comparison indicates the numerical error of the fast multipole method is much smaller than those of other PDE-based methods, with the reference solution given by direct numerical integration. Such accuracy can be achieved with affordable computational cost, and its performance in both efficiency and accuracy is quite stable for different domains and pressures. Meanwhile, the simulation accelerated by the fast multipole method exhibits good scalability using up to 1280 cores, which shows its capability of three-dimensional simulations using parallel (distributed) computing. The difference of the proposed method and other efficient approximations are also studied in a three-dimensional dynamic problem where two streamers interact.
