Close Search Advanced
Journals
Resources
About Us
Open Access

Recent Advances and Emerging Applications of the Singular Boundary Method for Large-Scale and High-Frequency Computational Acoustics

Recent Advances and Emerging Applications of the Singular Boundary Method for Large-Scale and High-Frequency Computational Acoustics
Preview
Add to basket

Year:    2022

Author:    Junpu Li, Zhuojia Fu, Yan Gu, Qing-Hua Qin

Advances in Applied Mathematics and Mechanics, Vol. 14 (2022), Iss. 2 : pp. 315–343

Abstract

With 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 bottleneck 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.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2020-0356

Advances in Applied Mathematics and Mechanics, Vol. 14 (2022), Iss. 2 : pp. 315–343

Published online:    2022-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    29

Keywords:    Singular boundary method origin intensity factor high-frequency acoustic problems large-scale acoustic problems Helmholtz equation.

Author Details

Junpu Li

Zhuojia Fu

Yan Gu

Qing-Hua Qin

  1. Rapid calculation of large-scale acoustic scattering from complex targets by a dual-level fast direct solver

    Li, Junpu | Fu, Zhuojia | Gu, Yan | Zhang, Lan

    Computers & Mathematics with Applications, Vol. 130 (2023), Iss. P.1

    https://doi.org/10.1016/j.camwa.2022.11.007 [Citations: 13]

  2. A singular boundary method for transient coupled dynamic thermoelastic analysis

    Sun, Linlin | Zhang, Qing | Chen, Zhikang | Wei, Xing

    Computers & Mathematics with Applications, Vol. 158 (2024), Iss. P.259

    https://doi.org/10.1016/j.camwa.2024.02.017 [Citations: 7]

  3. Singular boundary method for 2D and 3D acoustic design sensitivity analysis

    Cheng, Suifu | Wang, Fajie | Li, Po-Wei | Qu, Wenzhen

    Computers & Mathematics with Applications, Vol. 119 (2022), Iss. P.371

    https://doi.org/10.1016/j.camwa.2022.06.009 [Citations: 29]

  4. A decomposition method for two and three dimensional fluid-solid interaction scattering problem

    Sun, Yao | Wang, Pan | Chen, Bo

    Computers & Mathematics with Applications, Vol. 165 (2024), Iss. P.106

    https://doi.org/10.1016/j.camwa.2024.04.012 [Citations: 0]

  5. The edge-based smoothed FEM with ρ∞-Bathe implicit temporal discretization scheme for the analyses of underwater wave propagation problems

    Chai, Yingbin | Wang, Shangpan | Wang, Yingwei | Li, Wei | Huang, Kangye | Zhang, Qifan

    Ocean Engineering, Vol. 285 (2023), Iss. P.115315

    https://doi.org/10.1016/j.oceaneng.2023.115315 [Citations: 6]

  6. Thermal Conductivity Identification in Functionally Graded Materials via a Machine Learning Strategy Based on Singular Boundary Method

    Xu, Wenzhi | Fu, Zhuojia | Xi, Qiang

    Mathematics, Vol. 10 (2022), Iss. 3 P.458

    https://doi.org/10.3390/math10030458 [Citations: 8]

  7. FEM-PIKFNN for underwater acoustic propagation induced by structural vibrations in different ocean environments

    Xi, Qiang | Fu, Zhuojia | Xu, Wenzhi | Xue, Mi-An | Rashed, Youssef F. | Zheng, Jinhai

    Computers & Mathematics with Applications, Vol. 176 (2024), Iss. P.46

    https://doi.org/10.1016/j.camwa.2024.09.007 [Citations: 1]

  8. Mixed-mode I/II criterion based on combining Hill failure analysis and reinforcement isotropic solid model

    Zare Hosseinabadi, Shahab | Sabour, Mohammad Hossein | Fakoor, Mahdi

    Acta Mechanica, Vol. 234 (2023), Iss. 4 P.1437

    https://doi.org/10.1007/s00707-022-03456-4 [Citations: 3]

  9. Transient Dynamic Response Analysis of Two-Dimensional Saturated Soil with Singular Boundary Method

    Liu, Dongdong | Wei, Xing | Li, Chengbin | Han, Chunguang | Cheng, Xiaxi | Sun, Linlin

    Mathematics, Vol. 10 (2022), Iss. 22 P.4323

    https://doi.org/10.3390/math10224323 [Citations: 2]

  10. Acoustic simulation using singular boundary method based on loop subdivision surfaces: A seamless integration of CAD and CAE

    Liu, Hanqing | Wang, Fajie | Qiu, Lin | Chi, Cheng

    Engineering Analysis with Boundary Elements, Vol. 158 (2024), Iss. P.97

    https://doi.org/10.1016/j.enganabound.2023.10.022 [Citations: 7]

  11. A Novel “Finite Element-Meshfree” Triangular Element Based on Partition of Unity for Acoustic Propagation Problems

    Dang, Sina | Wang, Gang | Chai, Yingbin

    Mathematics, Vol. 11 (2023), Iss. 11 P.2475

    https://doi.org/10.3390/math11112475 [Citations: 0]

  12. Underwater acoustic scattering of multiple elastic obstacles using T-matrix method

    Yang, Yuzheng | Gui, Qiang | Chai, Yingbin | Li, Wei

    Engineering Analysis with Boundary Elements, Vol. 169 (2024), Iss. P.106028

    https://doi.org/10.1016/j.enganabound.2024.106028 [Citations: 0]

  13. Analysis of underwater acoustic propagation induced by structural vibration in arctic ocean environment based on hybrid FEM-WSM solver

    Xi, Qiang | Fu, Zhuojia | Xue, Mi-An | Zou, Mingsong | Zheng, Jinhai

    Ocean Engineering, Vol. 287 (2023), Iss. P.115922

    https://doi.org/10.1016/j.oceaneng.2023.115922 [Citations: 9]

  14. The Finite Element Method with High-Order Enrichment Functions for Elastodynamic Analysis

    Du, Xunbai | Dang, Sina | Yang, Yuzheng | Chai, Yingbin

    Mathematics, Vol. 10 (2022), Iss. 23 P.4595

    https://doi.org/10.3390/math10234595 [Citations: 3]

  15. The enriched quadrilateral overlapping finite elements for time-harmonic acoustics

    Gui, Qiang | Li, Wei | Chai, Yingbin

    Applied Mathematics and Computation, Vol. 451 (2023), Iss. P.128018

    https://doi.org/10.1016/j.amc.2023.128018 [Citations: 4]

  16. A novel meshfree method based on spatio-temporal homogenization functions for one-dimensional fourth-order fractional diffusion-wave equations

    Qiu, Lin | Ma, Xingdan | Qin, Qing-Hua

    Applied Mathematics Letters, Vol. 142 (2023), Iss. P.108657

    https://doi.org/10.1016/j.aml.2023.108657 [Citations: 23]

  17. A localized spatiotemporal particle collocation method for long-time transient homogeneous diffusion analysis

    Li, Junpu | Zhang, Lan | Qin, Qinghua | Wang, Fei

    International Journal of Heat and Mass Transfer, Vol. 192 (2022), Iss. P.122893

    https://doi.org/10.1016/j.ijheatmasstransfer.2022.122893 [Citations: 2]

  18. The Extrinsic Enriched Finite Element Method with Appropriate Enrichment Functions for the Helmholtz Equation

    Chai, Yingbin | Huang, Kangye | Wang, Shangpan | Xiang, Zhichao | Zhang, Guanjun

    Mathematics, Vol. 11 (2023), Iss. 7 P.1664

    https://doi.org/10.3390/math11071664 [Citations: 16]

  19. The Meshfree Radial Point Interpolation Method (RPIM) for Wave Propagation Dynamics in Non-Homogeneous Media

    Liu, Cong | Min, Shaosong | Pang, Yandong | Chai, Yingbin

    Mathematics, Vol. 11 (2023), Iss. 3 P.523

    https://doi.org/10.3390/math11030523 [Citations: 18]

  20. Meshless generalized finite difference method for two- and three-dimensional transient elastodynamic analysis

    Sun, Wenxiang | Qu, Wenzhen | Gu, Yan | Zhao, Shengdong

    Engineering Analysis with Boundary Elements, Vol. 152 (2023), Iss. P.645

    https://doi.org/10.1016/j.enganabound.2023.05.009 [Citations: 15]

  21. A Hybrid Localized Meshless Method for the Solution of Transient Groundwater Flow in Two Dimensions

    Wang, Qiang | Kim, Pyeoungkee | Qu, Wenzhen

    Mathematics, Vol. 10 (2022), Iss. 3 P.515

    https://doi.org/10.3390/math10030515 [Citations: 3]

  22. A Coupled Overlapping Finite Element Method for Analyzing Underwater Acoustic Scattering Problems

    Jiang, Bin | Yu, Jian | Li, Wei | Chai, Yingbin | Gui, Qiang

    Journal of Marine Science and Engineering, Vol. 11 (2023), Iss. 9 P.1676

    https://doi.org/10.3390/jmse11091676 [Citations: 1]

  23. Numerical investigation of the element-free Galerkin method (EFGM) with appropriate temporal discretization techniques for transient wave propagation problems

    Li, Yancheng | Liu, Cong | Li, Wei | Chai, Yingbin

    Applied Mathematics and Computation, Vol. 442 (2023), Iss. P.127755

    https://doi.org/10.1016/j.amc.2022.127755 [Citations: 13]

  24. An Enriched Finite Element Method with Appropriate Interpolation Cover Functions for Transient Wave Propagation Dynamic Problems

    Qu, Jue | Xue, Hongjun | Li, Yancheng | Chai, Yingbin

    Mathematics, Vol. 10 (2022), Iss. 9 P.1380

    https://doi.org/10.3390/math10091380 [Citations: 2]

  25. Free and Forced Vibration Analysis of Two-Dimensional Linear Elastic Solids Using the Finite Element Methods Enriched by Interpolation Cover Functions

    Li, Yancheng | Dang, Sina | Li, Wei | Chai, Yingbin

    Mathematics, Vol. 10 (2022), Iss. 3 P.456

    https://doi.org/10.3390/math10030456 [Citations: 35]

  26. A Modified Radial Point Interpolation Method (M-RPIM) for Free Vibration Analysis of Two-Dimensional Solids

    Sun, Tingting | Wang, Peng | Zhang, Guanjun | Chai, Yingbin

    Mathematics, Vol. 10 (2022), Iss. 16 P.2889

    https://doi.org/10.3390/math10162889 [Citations: 2]

  27. Dispersion error reduction for interior acoustic problems using the radial point interpolation meshless method with plane wave enrichment functions

    Gui, Qiang | Zhang, Yang | Chai, Yingbin | You, Xiangyu | Li, Wei

    Engineering Analysis with Boundary Elements, Vol. 143 (2022), Iss. P.428

    https://doi.org/10.1016/j.enganabound.2022.07.001 [Citations: 13]

  28. Time-domain acoustic wave propagations in multi-fluids using a weak-form meshfree method

    You, Xiangyu | Yin, Jiancheng | Yao, Yu | Li, Wei

    Ocean Engineering, Vol. 292 (2024), Iss. P.116531

    https://doi.org/10.1016/j.oceaneng.2023.116531 [Citations: 0]

  29. Transient analyses of wave propagations in nonhomogeneous media employing the novel finite element method with the appropriate enrichment function

    Sun, Tingting | Wang, Peng | Zhang, Guanjun | Chai, Yingbin

    Computers & Mathematics with Applications, Vol. 129 (2023), Iss. P.90

    https://doi.org/10.1016/j.camwa.2022.10.004 [Citations: 30]

  30. A regularized fast multipole method of moments for rapid calculation of three-dimensional time-harmonic electromagnetic scattering from complex targets

    Li, Junpu | Zhang, Lan | Qin, Qinghua

    Engineering Analysis with Boundary Elements, Vol. 142 (2022), Iss. P.28

    https://doi.org/10.1016/j.enganabound.2022.06.001 [Citations: 14]

  31. The method of fundamental solutions for the high frequency acoustic-elastic problem and its relationship to a pure acoustic problem

    Sun, Yao | Lu, Xinru | Chen, Bo

    Engineering Analysis with Boundary Elements, Vol. 156 (2023), Iss. P.299

    https://doi.org/10.1016/j.enganabound.2023.08.010 [Citations: 10]

  32. A boundary meshless method for dynamic coupled thermoelasticity problems

    Chen, Zhikang | Sun, Linlin

    Applied Mathematics Letters, Vol. 134 (2022), Iss. P.108305

    https://doi.org/10.1016/j.aml.2022.108305 [Citations: 33]

  33. A localized collocation solver based on fundamental solutions for 3D time harmonic elastic wave propagation analysis

    Sun, Linlin | Fu, Zhuojia | Chen, Zhikang

    Applied Mathematics and Computation, Vol. 439 (2023), Iss. P.127600

    https://doi.org/10.1016/j.amc.2022.127600 [Citations: 10]

  34. The meshless radial point interpolation method with ρ∞-Bathe implicit time discretization algorithm for transient elastodynamic analysis

    Zhang, Xiaoyan | Xue, Hongjun | Cheng, Jiaao

    Engineering Analysis with Boundary Elements, Vol. 162 (2024), Iss. P.184

    https://doi.org/10.1016/j.enganabound.2024.01.028 [Citations: 0]