This paper presents a benchmark for three-dimensional explicit asynchronous absorbing layers for modeling unbounded domains through a standard displacement-based finite element method: Three-dimensional Perfectly Matched Layers (PML) is compared to recently proposed Absorbing Layers with Increasing Damping (ALID) based on Rayleigh and Kosloff damping formulations.

The coupled problem, including the interior subdomain and the absorbing layers, is implemented in the framework of Heterogeneous Asynchronous Time Integrator (HATI), enabling the absorbing layers to be handed with an explicit Central Difference scheme, with fine time steps, independently from the time stepping procedure adopted in the interior subdomain. Simple 3D Lamb’s tests are considered by using different kinds of absorbing layers. The superiority of the PML in terms of the accuracy and computation time is highlighted. Finally, realistic 3D applications are investigated, such as the Lamb’s test and the study of the screening effect provided by a horizontal wave barrier in mitigating the ground surface vibration generated by an excited plate.

本文为通过基于位移的有限元方法建模无界域的三维显式异步吸收层提供了基准：将三维完全匹配层（PML）与最近提出的基于增加阻尼的吸收层（ALID）进行了比较在Rayleigh和Kosloff阻尼公式上。

包括内部子域和吸收层在内的耦合问题是在异类异步时间积分器（HATI）的框架中实现的，从而使吸收层可以通过明确的中央差分方案处理，并且具有精细的时间步长，与时间无关内部子域中采用的步进步骤。通过使用不同种类的吸收层来考虑简单的3D Lamb测试。突出了PML在准确性和计算时间方面的优越性。最后，研究了现实的3D应用程序，例如Lamb检验和对水平波屏障在减轻受激板产生的地面振动方面提供的屏蔽效果的研究。