Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering
Abstract
:1. Introduction
2. The pFFT-SBM Formulations for Acoustic Radiation and Scattering
3. Numerical Examples
3.1. Scattering of a Plane Acoustic Wave by a Rigid Sphere
3.2. Radiation from a Car
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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Numbers of Points | 768 | 3072 | 12,288 | 49,152 | 196,608 |
---|---|---|---|---|---|
Traditional SBM | - | - | |||
pFFT-SBM |
Numbers of Points | Relative Error | CPU Time (s) | Memory | |||
---|---|---|---|---|---|---|
Traditional SBM | pFFT-SBM | Traditional SBM | pFFT-SBM | Traditional SBM | pFFT-SBM | |
2106 | 119 | 28 | 82.7 | 65.3 | ||
13,154 | 5054 | 148 | 2676.4 | 133.5 | ||
51,252 | - | - | 634 | - | 628.3 | |
144,128 | - | - | 2728 | - | 1372.1 |
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Li, W.; Wang, F. Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering. Mathematics 2022, 10, 238. https://doi.org/10.3390/math10020238
Li W, Wang F. Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering. Mathematics. 2022; 10(2):238. https://doi.org/10.3390/math10020238
Chicago/Turabian StyleLi, Weiwei, and Fajie Wang. 2022. "Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering" Mathematics 10, no. 2: 238. https://doi.org/10.3390/math10020238
APA StyleLi, W., & Wang, F. (2022). Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering. Mathematics, 10(2), 238. https://doi.org/10.3390/math10020238