基于CFD高精度算法的雷电电磁场研究

doi:10.7527/S1000-6893.2021.26366

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基于CFD高精度算法的雷电电磁场研究

王子航^1,2,3, 吕宏强¹

1. 南京航空航天大学航空学院, 南京 210016;
2. 气动噪声控制重点实验室, 绵阳 621000;
3. 空气动力学国家重点实验室, 绵阳 621000

收稿日期:2021-09-01 修回日期:2021-09-14 发布日期:2021-10-14
通讯作者: 吕宏强 E-mail:hongqiang.lu@nuaa.edu.cn
基金资助:
气动噪声控制重点实验室基金（ANCL20190103）；空气动力学国家重点实验室基金（SKLA20180102）；航空科学基金（2018ZA52002，2019ZA052011）

Research on lightning electromagnetic field based on CFD high-precision algorithm

WANG Zihang^1,2,3, LYU Hongqiang¹

1. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
2. Key Laboratory of Aerodynamic Noise Control, Mianyang 621000, China;
3. State Key Laboratory of Aerodynamics, Mianyang 621000, China

Received:2021-09-01 Revised:2021-09-14 Published:2021-10-14
Supported by:
Open Fund of Key Laboratory of Aerodynamic Noise Control (ANCL20190103);Open Fund of State Key Laboratory of Aerodynamics (SKLA20180102);Aeronautical Science Foundation of China (2018ZA52002, 2019ZA052011)

摘要/Abstract

摘要： 雷电空间电磁场一直是电磁领域研究的热门，成熟的算法例如有限时域差分法（FDTD），传输线矩阵法（TLM）以及频域的矩量法（MoM）在计算雷电问题方面都有广泛的应用。由于计算流体力学（CFD）中的Euler方程与电磁学中的Maxwell方程有着相同的守恒形式，而且采用间断伽辽金方法（DG）已经在流场问题上得到广泛的尝试，因此引入了基于计算流体力学的DG方法来离散时域Maxwell方程，并采用网格分区并行技术加速计算，使用基于DG的圆球雷达散射截面积（RCS）算例进行测试，数值结果一致表明DG算法在求解电磁场问题上的可行性，之后通过计算一段近场雷电通道的电场分布并与解析解、某算法仿真解对比，数据基本吻合，说明该方法适合于雷电电磁场的计算。

关键词: 麦克斯韦方程, 雷电电磁场, 间断伽辽金, 计算流体力学, 时域电磁场仿真

Abstract: Lightning space electromagnetic field has always been a hot topic in the electromagnetic field. Mature algorithms such as the Finite-Difference Time-Domain (FDTD), Transmission-Line Modeling (TLM) and frequency domain Method of Moments (MoM) have a wide range of applications in computing lightning problems. Since the Euler equation in Computational Fluid Dynamics (CFD) and the Maxwell equation in electromagnetics have the same conservation form and the Discontinuous Galerkin (DG) method has been widely tried in the flow field problem, a DG method based on CFD is proposed to discretize the time domain Maxwell equation. The grid partition parallel technology is used to accelerate the calculation, and the DG-based spherical RCS example is used for testing. The numerical results show the feasibility of the DG algorithm in solving the electromagnetic field problem. Calculation results of the electric field distribution in a near-field lightning channel are compared with those using the analytical solution and the simulation solution of a certain algorithm. The data basically agrees, showing that the method proposed is applicable for calculation of lightning electromagnetic field.

Key words: Maxwell equation, lightning electromagnetic field, DG, CFD, time domain electromagnetic field simulation

中图分类号:

V211.3

王子航, 吕宏强. 基于CFD高精度算法的雷电电磁场研究[J]. 航空学报, 2021, 42(S1): 726366-726366.

WANG Zihang, LYU Hongqiang. Research on lightning electromagnetic field based on CFD high-precision algorithm[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(S1): 726366-726366.

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E-mail：hkxb@buaa.edu.cn

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基于CFD高精度算法的雷电电磁场研究

Research on lightning electromagnetic field based on CFD high-precision algorithm

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