A high-order perfectly matched layer scheme for second-order spectral-element time-domain elastic wave modelling

Xu, Jiaqi; Hu, Hengshan; Liu, Qing; Han, Bo

doi:10.1016/j.jcp.2023.112373

Cited by 2 publications

(3 citation statements)

References 40 publications

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“…where d is the dimension of the considered problem. There are many absorbing boundary conditions such as the DtN boundary condition [50], a family of Bayliss-Gunzburger-Turkel boundary conditions [58], and the perfectly matched layer technique [49,59]. Among these techniques, the DtN boundary condition is an exact non-reflection boundary condition without any additional manually selected parameters, and thus, is employed in this work.…”

Section: The Standard Galerkin Weak Form For the Exterior Acousticsmentioning

confidence: 99%

“…The shape of the DtN boundary is usually a circle, as shown in Figure 3. The exact acoustic pressure on Γ M is denoted as [49]…”

Section: The Standard Galerkin Weak Form For the Exterior Acousticsmentioning

confidence: 99%

“…In this work, the computational domain is truncated by the artificial boundary. To satisfy the Sommerfeld radiation condition, that the waves at infinity only travel outward, the special technique is always required to reduce the spurious wave reflection, such as the Dirichlet-to-Neumann (DtN) boundary condition [48] and the perfectly matched layer technique [49]. The DtN boundary condition is a popular technique and the pressure on the DtN boundary is represented by infinite Fourier series.…”

Section: Introductionmentioning

confidence: 99%

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A Coupled Overlapping Finite Element Method for Analyzing Underwater Acoustic Scattering Problems

Jiang,

Yu,

et al. 2023

JMSE

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It is found that the classic finite element method (FEM) requires much time for adequate meshes to acquire satisfactory numerical solutions, and is restricted to acoustic problems with low and middle frequencies. In this work, a coupled overlapping finite element method (OFEM) is employed by combining the overlapping finite element and the modified Dirichlet-to-Neumann (mDtN) boundary condition to solve underwater acoustic scattering problems. The main difference between the OFEM and the FEM lies in the construction of the local field approximation. In the OFEM, virtual nodes are utilized to form the partition of unity functions while no degree of freedom is assigned to these virtual nodes, which suppresses the linear dependence issue in other generalized finite element methods. Moreover, the user-defined enrichment functions can be flexibly utilized in the local field, and thus the numerical dispersions can be significantly mitigated. To truncate the infinite problem domain and satisfy the Sommerfeld radiation condition, an artificial boundary is constructed by incorporating the mDtN technique. Several numerical examples are studied and it is shown that the proposed method can greatly diminish the numerical error and is insensitive to distorted meshes, indicating that the proposed method is promising in predicting underwater acoustic scattering.

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Section: The Standard Galerkin Weak Form For the Exterior Acousticsmentioning

confidence: 99%

“…The shape of the DtN boundary is usually a circle, as shown in Figure 3. The exact acoustic pressure on Γ M is denoted as [49]…”

Section: The Standard Galerkin Weak Form For the Exterior Acousticsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Coupled Overlapping Finite Element Method for Analyzing Underwater Acoustic Scattering Problems

Jiang,

Yu,

et al. 2023

JMSE

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Prismatic-element SBPML coupled with SBFEM for 3D infinite transient wave problems

Zhang,

Zhao,

Zhang

et al. 2024

Computer Methods in Applied Mechanics and Engineering

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A high-order perfectly matched layer scheme for second-order spectral-element time-domain elastic wave modelling

Cited by 2 publications

References 40 publications

A Coupled Overlapping Finite Element Method for Analyzing Underwater Acoustic Scattering Problems

A Coupled Overlapping Finite Element Method for Analyzing Underwater Acoustic Scattering Problems

Prismatic-element SBPML coupled with SBFEM for 3D infinite transient wave problems

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