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Abstract
The pre-corrected fast Fourier transform (pFFT) algorithm is applied to accelerate the hybrid-domain boundary element method (BEM) for acoustic problems. Based on the previous successful applications of this algorithm to the BEMs for the exterior domain and interior domain acoustic problems, the implementation of this algorithm in the hybrid-domain BEM for acoustic problems is studied in detail. To validate the present method, the simulation on a spherical Helmholtz resonator is carried out. The numerical results are compared with those obtained by the direct multi-domain BEM and the resonance frequency is compared with the corresponding approximate solution. As expected, the present results agree well with those found by the direct BEM. But the remaining problem is that the GMRES solver without a pre-conditioner converges very slowly for the hybrid-domain BEM.
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Notes on contributors
Z Y Yan
ZY Yan received his BS degree in Mechanical Design from Jilin University of Technology, China, in 1995, and SM and PhD degrees in Fluid Mechanics from Shanghai Jiao Tong University, China, in 2000. He is currently an associate professor at Nanjing University of Aeronautics and Astronautics, China. His research interests are fast boundary element method, singular integrals and aeroacoustics.
X W Gao
XW Gao received his BS degree in Physics from the Normal University of Shanxi, China, in 1983, SM degree in Computational Mechanics from College of Mechanics of Shanxi, China, in 1986 and PhD degree in Computational Mechanics from the University of Glasgow, UK, in 1999. He is currently a professor at Dalian University of Science and Technology, China. His research interests include aeroelastics and applications of the boundary element method in mechanics.