An analysis of the stability of a general-purpose 3D subgridding method

A. M. Valverde, Rui Miguel, A. Bretones, S. García
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Abstract

In this work, we intend to study stability of a FDTD subgridding method based on a 1:2 ratio transition and whose equations are directly obtained by using a main-dual grid formalism. We provide three different approaches in order to obtain a clear view of the stability: an heuristic study, an analytical scheme based on integration lines and surfaces and an spectral analysis. We show that all three methods provide similar results, obtaining that roughly a 65% time-step reduction is enough to achieve stability.
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一种通用的三维剖分方法的稳定性分析
在这项工作中,我们打算研究基于1:2比例转换的FDTD子网格方法的稳定性,该方法的方程直接由主对偶网格形式获得。我们提供了三种不同的方法来获得稳定性的清晰视图:启发式研究,基于积分线和曲面的分析方案和光谱分析。我们展示了所有三种方法提供相似的结果,得到大约65%的时间步长减少足以实现稳定性。
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