A 3D Unstructured Mesh FDTD Scheme for EM Modelling
A 3D Unstructured Mesh FDTD Scheme for EM Modelling
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DOI：
10.1007/s11831-019-09395-z
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发表时间：
2020-01
影响因子：
9.7
通讯作者：
A. Gansen;A. Gansen;M. E. Hachemi;Salim Belouettar;O. Hassan;Kenneth Morgan
中科院分区：
文献类型：
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作者：
A. Gansen;A. Gansen;M. E. Hachemi;Salim Belouettar;O. Hassan;Kenneth Morgan
Yee时域有限差分（FDTD）算法因其简单、计算量小和无发散性而被广泛应用于计算电磁学中。标准方法使用一对交错的正交笛卡尔网格。然而，精度损失的结果，当它被用于建模电磁相互作用与任意形状的对象，因为阶梯表示的弯曲接口。对于这样的问题的解决方案，我们推广的方法，并采用非结构化网格FDTD方法。该方法基于Delaunay原始网格及其高质量的Voronoi对偶。采用混合原始网格，包括四面体元素在附近的弯曲接口和六面体元素在其他地方，提高了计算效率。将讨论与确保生成的网格的必要质量相关的困难。通过考虑一系列涉及完美电导体和各向同性损耗，各向异性损耗和各向同性频率相关手性材料的散射和/或传输问题，证明了所提出的解决方案的方法的电源。
The Yee finite difference time domain (FDTD) algorithm is widely used in computational electromagnetics because of its simplicity, low computational costs and divergence free nature. The standard method uses a pair of staggered orthogonal cartesian meshes. However, accuracy losses result when it is used for modelling electromagnetic interactions with objects of arbitrary shape, because of the staircased representation of curved interfaces. For the solution of such problems, we generalise the approach and adopt an unstructured mesh FDTD method. This co-volume method is based upon the use of a Delaunay primal mesh and its high quality Voronoi dual. Computational efficiency is improved by employing a hybrid primal mesh, consisting of tetrahedral elements in the vicinity of curved interfaces and hexahedral elements elsewhere. Difficulties associated with ensuring the necessary quality of the generated meshes will be discussed. The power of the proposed solution approach is demonstrated by considering a range of scattering and/or transmission problems involving perfect electric conductors and isotropic lossy, anisotropic lossy and isotropic frequency dependent chiral materials.