Numerical Treatment of Acoustic Problems With Boundary Singularities By the Singular Boundary Method
Document Type
Article
Publication Date
7-7-2014
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
The singular boundary method (SBM) is a novel boundary-type meshless method based on the fundamental solution of the given governing equation. The SBM employs the origin intensity factors to circumvent the singularities resulting from the fundamental solutions. In this paper, we investigate the acoustic problems with boundary singularities using the SBM. This is achieved by combining the SBM with the singularity subtraction techniques where the solution is decomposed into the singular solution and the regular solution. The singular solution is derived analytically which satisfies the governing equation and the corresponding boundary conditions containing the singularities. Then the regular solution is obtained by the SBM. Numerical examples show the excellent performance of the proposed technique.
Publication Title
Journal of Sound and Vibration
Volume
333
First Page
3177
Last Page
3188
Recommended Citation
Lin, J.,
Chen, W.,
Chen, C.
(2014). Numerical Treatment of Acoustic Problems With Boundary Singularities By the Singular Boundary Method. Journal of Sound and Vibration, 333, 3177-3188.
Available at: https://aquila.usm.edu/fac_pubs/20152