A perfectly matched layer for the Helmholtz equation in a semi-infinite strip
A perfectly matched layer for the Helmholtz equation in a semi-infinite strip
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DOI：
10.1016/j.jcp.2004.06.010
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发表时间：
2004-12
影响因子：
4.1
通讯作者：
I. Singer;Eli Turkel
中科院分区：
文献类型：
--
作者：
I. Singer;Eli Turkel
完美匹配层 (PML) 已成为一种广泛的技术，用于防止远场边界反射，解决时域和频域中的波传播问题。我们开发了一种离散化方法来求解无限二维条带中的亥姆霍兹方程。我们使用高阶有限差分格式求解内部方程。然后分析组合亥姆霍兹-PML 问题以获得最佳性能的参数。我们证明，在物理域中使用局部高阶方法并结合 PML 中的特定二阶近似可以在物理域中产生全局高阶精度。我们讨论参数对 PML 有效性的影响。给出了数值结果来支持分析。
The perfectly matched layer (PML) has become a widespread technique for preventing reflections from far field boundaries for wave propagation problems in both the time dependent and frequency domains. We develop a discretization to solve the Helmholtz equation in an infinite two-dimensional strip. We solve the interior equation using high-order finite differences schemes. The combined Helmholtz-PML problem is then analyzed for the parameters that give the best performance. We show that the use of local high-order methods in the physical domain coupled with a specific second order approximation in the PML yields global high-order accuracy in the physical domain. We discuss the impact of the parameters on the effectiveness of the PML. Numerical results are presented to support the analysis.