Li, JunpuFu, ZhuojiaGu, YanQin, Qing Hua2025-04-012025-04-01researchoutputwizard:a383154xPUB24468Scopus:85114806387WOS:712976800001https://dspace-test.anu.edu.au/handle/1885/733749836With the rapid development of computer technology, numerical simulation has become the third scientific research tool besides theoretical analysis and experimental research. As the core of numerical simulation, constructing efficient, accurate and stable numerical methods to simulate complex scientific and engineering problems has become a key issue in computational mechanics. The article outlines the application of singular boundary method to the large-scale and high-frequency acoustic problems. In practical application, the key issue is to construct efficient and accurate numerical methodology to calculate the large-scale and high-frequency sound field. This article focuses on the following two research areas. They are how to discretize partial differential equations into more appropriate linear equations, and how to solve linear equations more efficiently. The bottle neck problems encountered in the computational acoustics are used as the technical routes, i.e., efficient solution of dense linear system composed of ill-conditioned matrix and stable simulation of wave propagation at low sampling frequencies. The article reviews recent advances in emerging applications of the singular boundary method for computational acoustics. This collection can provide a reference for simulating other more complex wave propagation.The work was supported by China Postdoctoral Science Foundation (Grant No. 2020M682335) and Key R&D and Promotion Special Projects (Scientific Problem Tackling) in Henan Province of China (Grant No. 212102210375). In particular, as the source of the theory of the SBM, Prof. Wen Chen's thoughts and work are of great significance to the subsequent development of the SBM. The authors express the sincere respect and thanks to Prof. Chen for his outstanding contribution to this work.29EnglishPublisher Copyright: © 2022 Global Science Press.High-frequency acoustic problemsLarge-scale acoustic problems Helmholtz equationOrigin intensity factorSingular boundary method202210.4208/aamm.OA-2020-0356http://www.scopus.com/inward/record.url?scp=85114806387&partnerID=8YFLogxK