用快速多极方法精确高效地计算流注放电光电离
Accurate and efficient calculation of photoionization in streamer discharges using fast multipole method
摘要：
本文主要研究流注放电中光电离的三维数值模拟，并提供了一个通用的框架，以有效和准确地计算光电离模型的积分形式。仿真是基于核独立的快速多极子方法。与其他现有的基于偏微分方程（PDEs）的模型进行比较，定量研究了该方法在不同域和不同压力下的准确性。结果表明，快速多极子方法的数值误差远小于其他基于偏微分方程的方法，参考解由直接数值积分给出。这样的精度可以实现与负担得起的计算成本，其性能在效率和精度是相当稳定的不同领域和压力。同时，模拟加速的快速多极子方法具有良好的可扩展性，使用多达1280个核心，这表明它的能力，使用并行（分布式）计算的三维模拟。所提出的方法和其他有效的近似的差异也研究了在三维动力学问题中，两个拖缆相互作用。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
