A Fast Singular Boundary Method for Simulation of Infinite-Domain Acoustic Propagation in Subsonic Uniform Flow

LIAO Qiqi; XI Qiang; XU Wenzhi; FU Zhuojia

doi:10.21656/1000-0887.450339

Volume 46 Issue 6

Jun. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(6): 697-708

LIAO Qiqi, XI Qiang, XU Wenzhi, FU Zhuojia. A Fast Singular Boundary Method for Simulation of Infinite-Domain Acoustic Propagation in Subsonic Uniform Flow[J]. Applied Mathematics and Mechanics, 2025, 46(6): 697-708. doi: 10.21656/1000-0887.450339

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A Fast Singular Boundary Method for Simulation of Infinite-Domain Acoustic Propagation in Subsonic Uniform Flow

doi: 10.21656/1000-0887.450339

College of Mechanics and Engineering Science, Hohai University, Nanjing 211100, P.R.China

Funds:

The National Science Foundation of China(12122205；12372196；12302258)

Received Date: 2024-12-24
Rev Recd Date: 2025-03-30

Available Online: 2025-06-30

Abstract

Abstract

The fast singular boundary method was employed to simulate acoustic propagation in infinite domains under subsonic uniform flow. In this approach, a linear combination of the fundamental solutions satisfying the acoustic propagation properties in subsonic flow and the weighting factors was used to compute the sound pressure. The origin intensity factors were used to resolve the singularity of the fundamental solution. A fast direct method, based on recursive skeleton decomposition, was applied to compress the dense matrices generated with the singular boundary method for solving largescale acoustic problems. Finally, the accuracy, convergence, and efficiency of the fast singular boundary method were validated through 2 numerical examples in comparison with analytical solutions, finite element solutions, and existing literature results. The effects of the Mach number and the wave number on acoustic propagation were also investigated.
- singular boundary method,
- fast algorithm,
- subsonic uniform flow,
- infinite domain,
- acoustic propagation

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References(30)

References

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