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Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering

Author

Listed:
  • Weiwei Li

    (School of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo 255049, China)

  • Fajie Wang

    (National Engineering Research Center for Intelligent Electrical Vehicle Power System, College of Mechanical and Electrical Engineering, Qingdao University, Qingdao 266071, China)

Abstract

This paper presents a precorrected-FFT (pFFT) accelerated singular boundary method (SBM) for acoustic radiation and scattering in the high-frequency regime. The SBM is a boundary-type collocation method, which is truly free of mesh and integration and easy to program. However, due to the expensive CPU time and memory requirement in solving a fully-populated interpolation matrix equation, this method is usually limited to low-frequency acoustic problems. A new pFFT scheme is introduced to overcome this drawback. Since the models with lots of collocation points can be calculated by the new pFFT accelerated SBM (pFFT-SBM), high-frequency acoustic problems can be simulated. The results of numerical examples show that the new pFFT-SBM possesses an obvious advantage for high-frequency acoustic problems.

Suggested Citation

  • Weiwei Li & Fajie Wang, 2022. "Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering," Mathematics, MDPI, vol. 10(2), pages 1-9, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:238-:d:723572
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    Citations

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    Cited by:

    1. Cheng Chi & Fajie Wang & Lin Qiu, 2023. "A Novel Coupled Meshless Model for Simulation of Acoustic Wave Propagation in Infinite Domain Containing Multiple Heterogeneous Media," Mathematics, MDPI, vol. 11(8), pages 1-15, April.
    2. Dongdong Liu & Xing Wei & Chengbin Li & Chunguang Han & Xiaxi Cheng & Linlin Sun, 2022. "Transient Dynamic Response Analysis of Two-Dimensional Saturated Soil with Singular Boundary Method," Mathematics, MDPI, vol. 10(22), pages 1-19, November.
    3. Sun, Linlin & Fu, Zhuojia & Chen, Zhikang, 2023. "A localized collocation solver based on fundamental solutions for 3D time harmonic elastic wave propagation analysis," Applied Mathematics and Computation, Elsevier, vol. 439(C).

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