An immersed-boundary approach to time-domain simulation of acoustic propagation in complex geometries and media

• Published in: The Journal of the Acoustical Society of America 2021-04, Vol.149 (4), p.A20-A20
• Main Authors: Zheng, Zhongquan C., Hou, Jiacheng
• Format: Article
• Language: English
• ISSN: 0001-4966; 1520-8524
• DOI: 10.1121/10.0004401

With the advent of computing power in recent decades, time-domain simulation of acoustic propagation has become practically feasible. In this presentation, we present an immersed-boundary approach implemented in TSPACE, a simulation for time-domain acoustic propagation in complex geometries. Because TSPACE is based on conservation laws in the physical domain (both time and space), the primary advantage is its ability to accommodate a wide spectrum of realistic physics in the ambient of acoustic propagation, including complex geometries, media, and environmental conditions. The immersed-boundary approach in TSPCE is to use simple structured Cartesian grid mesh to simulate acoustic propagations, where the time-domain simulation is coupled with the immersed-boundary method to accommodate complicated geometries. Properties such as interface between different acoustic propagation media can be effectively modeled. In the presentation, the mathematical formulation and numerical algorithm of TSPACE will be explained, followed by several examples of simulation including sound propagation around arbitrary-shaped porous barriers, noise from unmanned aerial vehicles, diffractions near buildings, array arrangements in sonic crystals in both two and three dimensions, ultrasonic wave propagation in a lossy medium, and acoustic scattering around bubbles. It will also be demonstrated that the simulation results are verified/validated by comparisons to the analytical solutions and measured data in the literature.