Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering
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 C...
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| Format: | Article |
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MDPI AG
2022-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/2/238 |
| _version_ | 1797492279525507072 |
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| author | Weiwei Li Fajie Wang |
| author_facet | Weiwei Li Fajie Wang |
| author_sort | Weiwei Li |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T01:01:22Z |
| format | Article |
| id | doaj.art-3abf745b7d954072a41d2865019c9390 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T01:01:22Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-3abf745b7d954072a41d2865019c93902023-11-23T14:34:29ZengMDPI AGMathematics2227-73902022-01-0110223810.3390/math10020238Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and ScatteringWeiwei Li0Fajie Wang1School of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo 255049, ChinaNational Engineering Research Center for Intelligent Electrical Vehicle Power System, College of Mechanical and Electrical Engineering, Qingdao University, Qingdao 266071, ChinaThis 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.https://www.mdpi.com/2227-7390/10/2/238singular boundary methodprecorrected-FFThigh-frequencyacoustic radiationacoustic scattering |
| spellingShingle | Weiwei Li Fajie Wang Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering Mathematics singular boundary method precorrected-FFT high-frequency acoustic radiation acoustic scattering |
| title | Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering |
| title_full | Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering |
| title_fullStr | Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering |
| title_full_unstemmed | Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering |
| title_short | Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering |
| title_sort | precorrected fft accelerated singular boundary method for high frequency acoustic radiation and scattering |
| topic | singular boundary method precorrected-FFT high-frequency acoustic radiation acoustic scattering |
| url | https://www.mdpi.com/2227-7390/10/2/238 |
| work_keys_str_mv | AT weiweili precorrectedfftacceleratedsingularboundarymethodforhighfrequencyacousticradiationandscattering AT fajiewang precorrectedfftacceleratedsingularboundarymethodforhighfrequencyacousticradiationandscattering |