A reflectionless discrete perfectly matched layer

JOURNAL OF COMPUTATIONAL PHYSICS

卷:381

Article

Chern, Albert¹ 

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

关键词: Perfectly matched layers;    Absorbing boundary;    Discrete complex analysis;    Scalar wave equation;   

DOI  :  10.1016/j.jcp.2018.12.026

来源: Elsevier

【 摘 要 】

Perfectly Matched Layer (PML) is a widely adopted non-reflecting boundary treatment for wave simulations. Reducing numerical reflections from a discretized PML has been a long lasting challenge. This paper presents a new discrete PML for the multi-dimensional scalar wave equation which produces no numerical reflection at all. The reflectionless discrete PML is discovered through a straightforward derivation using Discrete Complex Analysis. The resulting PML takes an easily-implementable finite difference form with compact stencil. In practice, the discrete waves are damped exponentially in the PML, and the error due to domain truncation is maintained at machine zero by a moderately thick PML. The numerical stability of the proposed PML is also demonstrated. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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