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使用非结构化网格上的高效三维蛙跳格式对任意形状各向异性介电体进行电磁建模。

EM modelling of arbitrary shaped anisotropic dielectric objects using an efficient 3D leapfrog scheme on unstructured meshes.

作者信息

Gansen A, Hachemi M El, Belouettar S, Hassan O, Morgan K

机构信息

1Luxembourg Institute of Science and Technology (LIST), 5, avenue des Hauts-Fourneaux, 4362 Esch/Alzette, Luxembourg.

2College of Engineering, Swansea University, Bay Campus, Swansea, SA1 8EN UK.

出版信息

Comput Mech. 2016;58(3):441-455. doi: 10.1007/s00466-016-1295-x. Epub 2016 May 25.

DOI:10.1007/s00466-016-1295-x
PMID:32355385
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7175668/
Abstract

The standard Yee algorithm is widely used in computational electromagnetics because of its simplicity and divergence free nature. A generalization of the classical Yee scheme to 3D unstructured meshes is adopted, based on the use of a Delaunay primal mesh and its high quality Voronoi dual. This allows the problem of accuracy losses, which are normally associated with the use of the standard Yee scheme and a staircased representation of curved material interfaces, to be circumvented. The 3D dual mesh leapfrog-scheme which is presented has the ability to model both electric and magnetic anisotropic lossy materials. This approach enables the modelling of problems, of current practical interest, involving structured composites and metamaterials.

摘要

标准的Yee算法因其简单性和无散度特性而在计算电磁学中被广泛使用。基于Delaunay原始网格及其高质量的Voronoi对偶网格，采用了将经典Yee格式推广到三维非结构化网格的方法。这使得通常与使用标准Yee格式和弯曲材料界面的阶梯状表示相关的精度损失问题得以避免。所提出的三维对偶网格蛙跳格式能够对电各向异性和磁各向异性有损材料进行建模。这种方法能够对涉及结构化复合材料和超材料的当前具有实际意义的问题进行建模。

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