Solving Electromagnetic Scattering Contribution from Each Component Region with HO-SIE-DDM Solver

Quan Deng, Qiangming Cai, Xin Cao, Wen Jiang, Yuying Zhu, Yuyu Zhu, Jun Fan
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Abstract

In this paper, a surface integral equation (SIE) method based on the global solution of the method of moments (MoM) is developed for the analysis of the contribution of component electromagnetic flow to the overall metallic target. In this SIE, the whole target is divided into several different sub-regions by using the idea of domain decomposition (DD). Then, on the basis of the current coefficient matrix obtained by MoM, this SIE method can calculate the contribution value generated by electromagnetic flows on each component region from the sub-region by marking and partitioning the target. Moreover, two technologies are further adopted to enhance the efficiency and flexibility of this SIE method. One is that curved triangular elements and higher order hierarchical vector (HOHV) basis functions are applied, which can remarkably reduce the unknown amount of the conventional SIE. The other is that a DD method is adopted to employ a discontinuous Galerkin (DG) approach to glue conformal/ nonconformal surface grids between adjacent subdomains. It is obvious that this HO-SIE based on DDM can further increase the flexibility of geometrical modeling and accelerate the convergence of the HO-SIE for electrically large and multiscale metallic targets. Finally, two numerical results are given to demonstrate the validity of this method.
用ho - si - ddm求解各分量区域的电磁散射贡献
本文提出了一种基于矩量法(MoM)全局解的表面积分方程(SIE)方法,用于分析分量电磁流对整体金属目标的贡献。在此SIE中,使用域分解(DD)的思想将整个目标划分为几个不同的子区域。然后,在MoM得到的电流系数矩阵的基础上,通过对目标进行标记和划分,从子区域计算出电磁流对各分量区域产生的贡献值。进一步采用两种技术提高了该方法的效率和灵活性。一是采用弯曲三角形单元和高阶层次向量(HOHV)基函数,显著减少了传统的自适应结构的未知量;二是采用DD方法,采用不连续伽辽金(DG)方法在相邻子域之间粘接共形/非共形曲面网格。可见,基于DDM的HO-SIE可以进一步提高几何建模的灵活性,加快HO-SIE对电大型多尺度金属目标的收敛速度。最后给出了两个数值结果,验证了该方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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