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首页> 外文期刊>International journal of RF and microwave computer-aided engineering >A New FDTD Stencil for Reduced Numerical Anisotropy in the Computer Modeling of Wave Phenomena
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A New FDTD Stencil for Reduced Numerical Anisotropy in the Computer Modeling of Wave Phenomena

机译：一种新的FDTD模板，用于减少波动现象的计算机建模中的数值各向异性

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摘要

An isotropic finite difference scheme is utilized for the development of a new stencil for the finite-difference time-domain (FDTD) modeling of electromagnetic wave propagation. The key attribute of the new stencil is the improved isotropy of the numerical phase velocity at fairly moderate spatial sampling of the fields. More specifically, for a given phase velocity anisotropy error, the new stencil requires a much coarser grid than the one required by the standard, second-order accurate FDTD stencil. This, in turn, amounts to gains in computational resources when transient electromagnetic interactions in electrically-large domains are being modeled. The numerical attributes of the proposed stencil, namely, its dispersion, anisotropy and stability, are presented in the context of its application to the numerical simulation of two-dimensional transient electromagnetic wave propagation. Through a series of numerical studies, the enhanced isotropy provided by the proposed scheme is demonstrated and contrasted in a quantitative manner to that of the standard FDTD stencil.
机译：各向同性有限差分方案被用于电磁波传播的有限差分时域（FDTD）建模的新模板的开发。新模板的关键属性是在相当适度的场空间采样中改善了数字相速度的各向同性。更具体地说，对于给定的相速度各向异性误差，新的模板比标准的二阶精确FDTD模板所需的网格要粗糙得多。反过来，当对电大域中的瞬变电磁相互作用进行建模时，这相当于在计算资源上获得了收益。在将其应用于二维瞬态电磁波传播的数值模拟的背景下，提出了所提议的模板的数值属性，即色散，各向异性和稳定性。通过一系列数值研究，证明了所提出的方案所提供的增强的各向同性，并以定量的方式与标准FDTD模板进行了对比。

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