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.

翻译：声波方程的模拟在音频工程、医学成像和流体动力学等多个应用领域中扮演着重要角色。然而，传播介质的复杂性会带来诸多挑战，例如无限计算区域以及不同介质间的界面条件。本文构建了一种基于局部交互模拟方法（LISA）与完美匹配层（PML）的声波传播模拟方法。该方法能够在有限计算区域内模拟波的传播，并克服不同介质界面处的平滑处理问题。数值算例验证了该方法的有效性。