Abstract
This paper presents an efficient hybrid asynchronous three-dimensional (3D) perfectly matched layer (PML) for modeling unbounded domains. The proposed unsplit explicit or implicit 3D PML formulation is implemented in the framework of a heterogeneous asynchronous time integrator. It is fully versatile in terms of time integrators and time step sizes according to partitions while conserving classical finite element formulations in the elastic domain without complex-valued stretched coordinates. Examples of a semi-infinite bar, Lamb’s test, and a soil–structure interaction problem with PML-truncated semi-infinite heterogeneous media are investigated to illustrate the efficiency of the proposed PML in terms of accuracy and CPU time.
Highlights
One of the critical issues regarding the numerical simulation of wave propagation problems in unbounded domains using the finite element method is finding a suitable technique to simulate infinite media
The present paper presents an efficient hybrid asynchronous 3D perfectly matched layer (PML) for modeling unbounded domains through a standard displacement-based finite element method, which is well suitable for finite element implementation
A novel 3D PML, which is suitable for finite element implementation, has been proposed in this paper for transient elastodynamics
Summary
One of the critical issues regarding the numerical simulation of wave propagation problems in unbounded domains using the finite element method is finding a suitable technique to simulate infinite media. The proposed unsplit 3D explicit/implicit PML formulation is implemented in the framework of a heterogeneous asynchronous time integrator (HATI) [22, 23], which employs the dual approach with Lagrange multipliers for subdomain coupling. This enables the PML to be treated independently using an explicit or implicit scheme with large time steps while conserving classical finite element formulations in the elastic domain to optimize computational efficiency. Various examples, including a 3D semi-infinite bar, Lamb’s test, and soil–structure interaction (SSI) with different soil layers, are investigated to illustrate the efficiency of the HATI formulation in terms of accuracy and CPU time
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