亚音速均匀流场中无限域声传播模拟的快速奇异边界法

廖琪琦; 习强; 徐文志; 傅卓佳

doi:10.21656/1000-0887.450339

亚音速均匀流场中无限域声传播模拟的快速奇异边界法

doi: 10.21656/1000-0887.450339

河海大学力学与工程科学学院，南京 211100

基金项目:

国家自然科学基金(12122205；12372196；12302258)

详细信息

作者简介:
廖琪琦（2001—），女，硕士生(E-mail: 221308010054@hhu.edu.cn);傅卓佳（1985—），男，教授，博士生导师（通讯作者. E-mail: paul212063@hhu.edu.cn).

通讯作者:
傅卓佳（1985—），男，教授，博士生导师（通讯作者. E-mail: paul212063@hhu.edu.cn).

中图分类号: O302
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出版历程
- 收稿日期: 2024-12-24
- 修回日期: 2025-03-30
- 网络出版日期: 2025-06-30

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

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

Funds:

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

摘要

摘要: 快速奇异边界法被首次用于求解亚音速均匀流场中的无限域声传播问题.在奇异边界法中，满足亚音速均匀流场中声传播特性的基本解与权重系数的线性组合被用于计算得到声压.其中，源点强度因子被用于解决基本解的源点奇异性问题，基于递归骨架分解技术的快速直接求解法被用于分解压缩奇异边界法在大规模声学计算中生成的稠密矩阵.最后，在两个数值算例中，通过与解析解、有限元参考解及已有文献结果的对比验证了快速奇异边界法的精确性、收敛性和有效性，并且探究了Mach数、波数对亚音速均匀流场中声传播的影响.
- 奇异边界法 /
- 快速算法 /
- 亚音速均匀流 /
- 无限域 /
- 声传播
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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参考文献(30)

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亚音速均匀流场中无限域声传播模拟的快速奇异边界法

doi: 10.21656/1000-0887.450339

作者简介:
廖琪琦（2001—），女，硕士生(E-mail: 221308010054@hhu.edu.cn);傅卓佳（1985—），男，教授，博士生导师（通讯作者. E-mail: paul212063@hhu.edu.cn).

通讯作者:
傅卓佳（1985—），男，教授，博士生导师（通讯作者. E-mail: paul212063@hhu.edu.cn).

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

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留言板

亚音速均匀流场中无限域声传播模拟的快速奇异边界法

doi: 10.21656/1000-0887.450339

作者简介: 廖琪琦（2001—），女，硕士生(E-mail: 221308010054@hhu.edu.cn);傅卓佳（1985—），男，教授，博士生导师（通讯作者. E-mail: paul212063@hhu.edu.cn).

通讯作者: 傅卓佳（1985—），男，教授，博士生导师（通讯作者. E-mail: paul212063@hhu.edu.cn).

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出版历程

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

计量

出版历程

目录

作者简介:
廖琪琦（2001—），女，硕士生(E-mail: 221308010054@hhu.edu.cn);傅卓佳（1985—），男，教授，博士生导师（通讯作者. E-mail: paul212063@hhu.edu.cn).

通讯作者:
傅卓佳（1985—），男，教授，博士生导师（通讯作者. E-mail: paul212063@hhu.edu.cn).