江志东, 周璧华, 刘亚文, 杨波. 基于时域多分辨分析方法的地闪雷电电磁脉冲计算[J]. 电波科学学报, 2014, 29(4): 653-657. doi: 10.13443/j.cjors.2013080101
      引用本文: 江志东, 周璧华, 刘亚文, 杨波. 基于时域多分辨分析方法的地闪雷电电磁脉冲计算[J]. 电波科学学报, 2014, 29(4): 653-657. doi: 10.13443/j.cjors.2013080101
      JIANG Zhidong, ZHOU Bihua, LIU Yawen, YANG Bo. LEMP calculation of cloud-to-ground lightning based on multi-resolution time-domain method[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2014, 29(4): 653-657. doi: 10.13443/j.cjors.2013080101
      Citation: JIANG Zhidong, ZHOU Bihua, LIU Yawen, YANG Bo. LEMP calculation of cloud-to-ground lightning based on multi-resolution time-domain method[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2014, 29(4): 653-657. doi: 10.13443/j.cjors.2013080101

      基于时域多分辨分析方法的地闪雷电电磁脉冲计算

      LEMP calculation of cloud-to-ground lightning based on multi-resolution time-domain method

      • 摘要: 为提高地闪回击电流辐射场的计算效率,提出基于时域多分辨分析的雷电电磁脉冲计算方法.在二维柱坐标系下,以具有紧支撑的Daubechies小波尺度函数作为时域多分辨算法的展开基函数,推导出该算法在二维柱坐标系下的迭代计算公式;采用完全匹配层吸收边界条件截断计算域.利用该算法计算了与放电通道不同距离处雷电电磁脉冲的各个场分量.将所得结果与时域有限差分法的计算结果进行比较,结果表明: 二者具有较好的一致性;在相同精度要求下,时域多分辨算法不仅具有更好的数值色散特性,还提高了计算效率、降低了计算内存开销.

         

        Abstract: In order to improve the calculation efficiency of fields radiated by cloud-to-ground lightning return stroke, a multi-resolution time-domain (MRTD) method is proposed for cloud-to-ground lightning LEMP calculation. In 2-D cylindrical coordinates, scaling function of Daubechies wavelet is chosen for field expansion, and iterative formula of MRTD method is derivated. The PML absorbing boundary conditions is adopted to truncate the computational domain. LEMP of different distance off the lightning channel was calculated. The results obtained with the finite-difference time-domain method (FDTD) are compared with the MRTD method. Numerical simulation results show that the MRTD method and FDTD method are consistent in calculating LEMP fields. The MRTD method can significantly save both computational memory and CPU computation time with large gird mesh, as well as good numerical dispersion property.

         

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