Local interaction simulation approach for the acoustic wave equation with perfectly matched layer

TL;DR

This paper introduces a novel simulation method combining LISA and PML techniques to efficiently model acoustic wave propagation in finite regions, addressing challenges like infinite domain and media interfaces.

Contribution

The paper develops a new simulation approach integrating LISA with PML to improve acoustic wave modeling across media interfaces in finite computational domains.

Findings

Effective simulation of wave propagation in finite regions

Overcomes interface smoothing issues between media

Numerical examples confirm method's accuracy

Abstract

Simulation of the acoustic wave equation plays an important role in various applications, including audio engineering, medical imaging, and fluid dynamics. However, the complexity of the propagation medium can pose challenges, such as the infinite computing region and the interface conditions between different media. In this paper, we construct a method for simulating acoustic wave propagation based on the local interaction simulation approach (LISA) and the perfectly matched layer (PML). This method can simulate wave propagation in a finite computing region and overcome the smoothing process at the interface between different media. Numerical examples demonstrate the effectiveness of this approach.