许勇, 黄勇, 周铸. 双时间步时域有限体积方法计算时变电磁场[J]. 电波科学学报, 2015, 30(4): 647-652. doi: 10.13443/j.cjors.2014062601
      引用本文: 许勇, 黄勇, 周铸. 双时间步时域有限体积方法计算时变电磁场[J]. 电波科学学报, 2015, 30(4): 647-652. doi: 10.13443/j.cjors.2014062601
      XU Yong, HUANG Yong, ZHOU Zhu. Dual time stepping FVTD method for computation of time-dependent electromagnetic fields[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2015, 30(4): 647-652. doi: 10.13443/j.cjors.2014062601
      Citation: XU Yong, HUANG Yong, ZHOU Zhu. Dual time stepping FVTD method for computation of time-dependent electromagnetic fields[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2015, 30(4): 647-652. doi: 10.13443/j.cjors.2014062601

      双时间步时域有限体积方法计算时变电磁场

      Dual time stepping FVTD method for computation of time-dependent electromagnetic fields

      • 摘要: 双时间步被引入到时域有限体积解算器这一直接求解麦克斯韦方程组的高精度数值方法中.双时间步方法作为非定常时间推进技巧, 时间精度由物理时间步长决定, 稳定性要求由定常子迭代时间步长所满足, 从而放松了通常显式时间格式和网格对物理时间步长的限制, 达到节约计算量的目的.典型目标电磁散射计算表明:通过对物理时间步长、最大子迭代步数、子迭代收敛判据的合理选取, 双时间步方法在保证计算精度的同时, 能提高计算效率.

         

        Abstract: Dual time stepping technique was introduced into the finite volume time domain (FVTD) method which is a high precision direct numerical solvers for time dependent electromagnetic fields controlled by Maxwell equations. As an unsteady time marching technique, the time precision is determined by physical time step, stability criterion is guaranteed by steady sub-iteration time step in this method, as a result, the physical time step was relaxed which ordinary limited by explicit time scheme and grids, the computational work is also decreased. The computation of canonical electromagnetic scattering problem demonstrated that the computational precision is conserved and efficiency is also increased; by the rational choose of physical time step, the maximum step and convergence criterion of sub-iteration in this technique.

         

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