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- Title
Solving Thin-Body Acoustic Problems Over an Impedance Plane with a Fast Multipole Indirect Boundary Element Method.
- Authors
Liang, Meng-Hui; Zhang, Yong-Bin; Zheng, Chang-Jun; Wang, Shuai; Bi, Chuan-Xing
- Abstract
This paper presents a fast multipole indirect boundary element solver for the thin-body acoustic problems over an infinite impedance plane. The half-space impedance Green's function involving a complex line source to approximate the porous ground effects is employed in the indirect boundary integral equation (IBIE), which makes that both mass-like and spring-like impedance conditions on the infinite plane are explicitly satisfied. A nonsingular IBIE formulation is derived to implement the fast multipole method (FMM) easily. The image relations of multipole moments are used to avoid the computation and translation of multipole/local expansion coefficients in the image domain. To deal with the numerical instability in the local translation of image multipole moments, a half-space tree structure is elaborately constructed for the FMM. The validity of the method is testified by a benchmark example and the potential of the method is investigated by the numerical simulation of noise barriers with different geometrical configurations.
- Subjects
BOUNDARY element methods; FAST multipole method; NOISE barriers; INTEGRAL equations
- Publication
Journal of Theoretical & Computational Acoustics, 2022, Vol 30, Issue 3, p1
- ISSN
2591-7285
- Publication type
Article
- DOI
10.1142/S2591728522400060