Performance of cylindrical CFS-PML in the frequency domain: A study of radial CFS-PML in coaxial structures

Ana Paula M. Lima, M. S. Novo
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Abstract

A cylindrical complex-frequency-shifted perfectly matched layers (CFS-PML) absorbing boundary condition (ABC) is applied in the bi-dimensional (2-D) finite volume (FV) method. The impact of CFS-PML parameters on the wave absorption, as well as on the condition number of the associated system matrix is examinated by comparing the performance of two PML loss profiles, viz., polynomial and geometric grading. The discretization error due to FV approximation is also studied. FV results are validated against analytical solution. Results show that both profiles have similar performance in terms of absorption wave and conditioning of the associated system matrix.
圆柱形CFS-PML的频域性能:同轴结构中径向CFS-PML的研究
将圆柱复频移完美匹配层吸收边界条件(ABC)应用于二维有限体积法。通过比较两种PML损耗曲线(即多项式和几何分级)的性能,考察了CFS-PML参数对波吸收以及相关系统矩阵条件数的影响。研究了FV近似引起的离散误差。FV结果与解析解进行了验证。结果表明,两种谱线在吸收波和相关体系矩阵调理方面具有相似的性能。
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