A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media
A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media
复制标题
用于三层介质衍射问题数值模拟的稳定表面高阶扰动方法
DOI：
10.1016/j.jcp.2016.10.057
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
D. Nicholls
中科院分区：
文献类型：
--
作者：
Youngjoon Hong;D. Nicholls
线性波与周期性层状介质相互作用的精确数值模拟是工程应用中的一项重要能力。在这篇贡献中，我们研究了线性时谐波与具有不规则界面的周期性三层介质相互作用的稳定和高阶精确数值模拟。与体积法相比，高阶表面摄动（HOPS）算法是一种廉价的界面方法，它通过界面形状的摄动快速递归地估计散射返回。与边界积分/单元方法相比，我们在这里描述的稳定HOPS算法不需要专门的正交规则，周期化策略或密集非对称正定线性系统的解。此外，与其他经典的hop方法相比，该算法具有可证明的稳定性。通过数值实验，我们证明了该算法的实现可以达到显著的效率、保真度和精度。
The accurate numerical simulation of linear waves interacting with periodic layered media is a crucial capability in engineering applications. In this contribution we study the stable and high-order accurate numerical simulation of the interaction of linear, time-harmonic waves with a periodic, triply layered medium with irregular interfaces. In contrast with volumetric approaches, High-Order Perturbation of Surfaces (HOPS) algorithms are inexpensive interfacial methods which rapidly and recursively estimate scattering returns by perturbation of the interface shape. In comparison with Boundary Integral/Element Methods, the stable HOPS algorithm we describe here does not require specialized quadrature rules, periodization strategies, or the solution of dense non-symmetric positive definite linear systems. In addition, the algorithm is provably stable as opposed to other classical HOPS approaches. With numerical experiments we show the remarkable efficiency, fidelity, and accuracy one can achieve with an implementation of this algorithm.
影响因子：
17.1
作者：
Im H;Lee SH;Wittenberg NJ;Johnson TW;Lindquist NC;Nagpal P;Norris DJ;Oh SH
通讯作者：
Oh SH