Isogeometric locally-conformal perfectly matched layer for time-harmonic acoustics

Mi, Yongzhen; Yu, Xiang

doi:10.1016/j.cma.2021.113925

Cited by 8 publications

(3 citation statements)

References 37 publications

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“…The PML has become a frequently used absorbing layer technique since it was introduced by Bérenger 32 . Its applications and relevant research are rapidly expanding in many fields such as electromagnetism, 32,49 acoustics, 50,51 elastodynamics, 52,53 fluid‐saturated poroelastic theory, 54 and others. This is because the PML provides excellent performance of zero‐reflection for all incidence angles and frequencies of outgoing waves at the artificial boundary.…”

Section: Introductionmentioning

confidence: 99%

“…The limitations of PML formulations derive from their dependency on the selection of a coordinate system, such as Cartesian and non‐Cartesian (polar, cylindrical, and spherical coordinates), 64 to properly define the stretching directions. Once the coordinate system is chosen, the inner and outer surfaces of the PML domain and all of its meshing surfaces have to be defined as iso‐surfaces 51 . In such cases, the superiority of the PML formulation is greatly discounted due to two primary factors: If the outer surface (artificial boundary) of the domain of interest is not an iso‐surface within the chosen coordinate system, it cannot be defined as an interior interface of the PML domain.…”

Section: Introductionmentioning

confidence: 99%

“…Once the coordinate system is chosen, the inner and outer surfaces of the PML domain and all of its meshing surfaces have to be defined as iso-surfaces. 51 In such cases, the superiority of the PML formulation is greatly discounted due to two primary factors:…”

Section: Introductionmentioning

confidence: 99%

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Time‐domain scaled boundary perfectly matched layer for elastic wave propagation

Zhang

et al. 2023

Numerical Meth Engineering

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A novel artificial boundary method called the scaled boundary perfectly matched layer (SBPML) is proposed for the transient analysis of elastic wave propagation in unbounded domains. This method constructs a generalized perfectly matched layer (PML) around the finite interior subdomain based on a coordinate transformation inspired by the scaled boundary finite element method (SBFEM). It can model the infinite exterior subdomains of heterogeneous materials, featuring both parallel and radial straight‐line physical surfaces and interfaces. In addition, generally‐shaped (even nonconvex‐shape) artificial boundaries can be used to provide high flexibility in choosing the geometry of the finite interior subdomain. Two coordinate mapping technologies, namely the modified scaled boundary coordinate transformation from the SBFEM and the complex coordinate stretching from the PML, are successively utilized to construct the proposed method. By introducing the integral of stress as an auxiliary variable, the resulting SBPML subdomain is represented in the time domain using a mixed displacement‐stress unsplit‐field formulation. This has the added benefit of allowing for easy incorporation into standard dynamic finite element methods. The performance of the SBPML is demonstrated through several numerical examples, including P‐SV and SH wave propagation problems occurring in unbounded domains with complex geometries and heterogeneous material properties. The numerical results are evaluated in comparison to both reference solution and existing artificial boundary methods, ultimately demonstrating the flexibility, robustness, accuracy, and stability of the proposed approach.

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