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A comprehensive study of numerical anisotropy and dispersion in 3-D TLM meshes

机译:3-D TLM网格中数值各向异性和色散的综合研究

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摘要

This paper presents a comprehensive analysis of the numerical anisotropy and dispersion of 3-D TLM meshes constructed using several generalized symmetrical condensed TLM nodes. The dispersion analysis is performed in isotropic lossless, isotropic lossy and anisotropic lossless media and yields a comparison of the simulation accuracy for the different TLM nodes. The effect of mesh grading on the numerical dispersion is also determined. The results compare meshes constructed with Johns' symmetrical condensed node (SCN), two hybrid symmetrical condensed nodes (HSCN) and two frequency domain symmetrical condensed nodes (FDSCN). It has been found that under certain circumstances, the time domain nodes may introduce numerical anisotropy when modelling isotropic media.
机译:本文对使用多个广义对称压缩TLM节点构造的3-D TLM网格的数值各向异性和色散进行了综合分析。在各向同性无损,各向同性有损和各向异性无损介质中进行色散分析,并比较不同TLM节点的仿真精度。还确定了网格渐变对数值色散的影响。结果比较了用Johns对称压缩节点(SCN),两个混合对称压缩节点(HSCN)和两个频域对称压缩节点(FDSCN)构造的网格。已经发现,在某些情况下,当对各向同性介质建模时,时域节点可能会引入数值各向异性。

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