并行区域分解法分析千波长目标散射特性
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摘要
为了在资源有限的条件下快速准确地分析电大尺寸目标的电磁散射特性,给出了一种并行非重叠非共形的基于积分方程的区域分解方法.在子区域内部以及子区域间耦合的计算采用并行多层快速多极子算法进行加速.针对多层快速多极子的八叉树结构,用改进的平面波自适应划分策略提高了并行效率.子区域间的耦合使用场迭代的方式计算,避免了存储互阻抗矩阵,进一步降低了内存需求.数值仿真实例表明,该方法可以高效地解决上千波长目标的散射问题.
In order to solve the scattering characteristics of an electrically-large object in the condition of limited resources fast and accurately,aparallel nonoverlapping non-conformal domain decomposition method based on integral equations is proposed.The parallel multilevel fast multipole algorithm is used to accelerate the calculation of the interior and the coupling of sub-domains,and the adaptive direction partitioning scheme is applied to improve the parallel efficiency according to its oct-tree structure.The coupling between different sub-domains is calculated in the manner of near field to avoid the storage of the mutual impedance and the memory requirement is further reduced.Numerical results prove that the proposed parallel domain decomposition method can efficiently solve the scattering problem of one thousand wavelengths.
In order to solve the scattering characteristics of an electrically-large object in the condition of limited resources fast and accurately,aparallel nonoverlapping non-conformal domain decomposition method based on integral equations is proposed.The parallel multilevel fast multipole algorithm is used to accelerate the calculation of the interior and the coupling of sub-domains,and the adaptive direction partitioning scheme is applied to improve the parallel efficiency according to its oct-tree structure.The coupling between different sub-domains is calculated in the manner of near field to avoid the storage of the mutual impedance and the memory requirement is further reduced.Numerical results prove that the proposed parallel domain decomposition method can efficiently solve the scattering problem of one thousand wavelengths.
引文
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[2]LOU Z,JIN J M.A Novel Dual-field Time-domain Finite-element Domain-decomposition Method for Computational Electromagnetics[J].IEEE Transactions on Antennas and Propagation,2006,54(6):1850-1862.
[3]LAI Z H,KIANG J F,MITTRA R.A Domain Decomposition Finite Difference Time Domain(FDTD)Method for Scattering Problem from Very Large Rough Surfaces[J].IEEE Transactions on Antennas and Propagation,2015,63(10):4468-4476.
[4]HAN K,NIE Z P,QUE X F.A Simply Constructed Overlapped Domain Decomposition Method for Solving EM Scattering from PEC Objects[C]//Proceedings of the 2016IEEE Antennas and Propagation Society International Symposium.Piscataway:IEEE,2016:53-54.
[5]ZHAO R,HU J,ZHAO H P,et al.EFIE-PMCHWT-based Domain Decomposition Method for Solving Electromagnetic Scattering from Complex Dielectric/Metallic Composite Objects[J].IEEE Antennas and Wireless Propagation Letters,2017,16:1293-1296.
[6]PENG Z,MACKIE-MASON B.High-performance Surface Integral Equation Solvers towards Extreme-scale Electromagnetic Modeling and Simulation[C]//Proceedings of the 2016IEEE/ACES International Conference on Wireless Information Technology.Piscataway:IEEE,2016:7465365.
[7]GUO L W,CHEN Y P,HU J,et al.A Novel JMCFIE-DDM for Analysis of EM Scattering and Radiation by Composite Objects[J].IEEE Antennas and Wireless Propagation Letters,2017,16:389-392.
[8]MICHIELS B,FOSTIER J,BOGAERT I,et al.Weak Scalability Analysis of the Distributed-memory Parallel MLFMA[J].IEEE Transactions on Antennas and Propagation,2013,61(11):5567-5574.
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