A stable high-order absorbing boundary based on continued fraction for scalar wave propagation in 2D and 3D unbounded layers. Issue 7 (12th August 2019)

• Record Type: Journal Article
• Authors: Li, Huifang; Zhao, Mi; Wu, Lihua; Wang, Piguang; Du, Xiuli
• Is Part Of: Engineering computations. Volume 36:Issue 7(2019)
• Page Start: 2445
• Page End: 2479
• Publication Date: 2019-08-12
• Subjects: Wave propagation -- Absorbing boundary condition -- Continued fraction -- Time-domain stability -- Unbounded domain; Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-12-2018-0578
• Languages: English
• ISSNs: 0264-4401

Abstract

Abstract : Purpose: The purpose of this paper is to propose a stable high-order absorbing boundary condition (ABC) based on new continued fraction for scalar wave propagation in 2D and 3D unbounded layers. Design/methodology/approach: The ABC is obtained based on continued fraction (CF) expansion of the frequency-domain dynamic stiffness coefficient (DtN kernel) on the artificial boundary of a truncated infinite domain. The CF which has been used to the thin layer method in [69] will be applied to the DtN method to develop a time-domain high-order ABC for the transient scalar wave propagation in 2D. Furthermore, a new stable composite-CF is proposed in this study for 3D unbounded layers by nesting the above CF for 2D layer and another CF. Findings: The ABS has been transformed from frequency to time domain by using the auxiliary variable technique. The high-order time-domain ABC can couple seamlessly with the finite element method. The instability of the ABC-FEM coupled system is discussed and cured. Originality/value: This manuscript establishes a stable high-order time-domain ABC for the scalar wave equation in 2D and 3D unbounded layers, which is based on the new continued fraction. The high-order time-domain ABC can couple seamlessly with the finite element method. The instability of the coupled system is discussed and cured.