Field reconstruction by acoustic holography technique based on BEM. (English) Zbl 0877.76068
Brebbia, C. A. (ed.) et al., Boundary elements XVIII. Proceedings of the 18th international conference on boundary elements, BEM 18 and the 3rd international workshop on fluid mechanics, Braga, Portugal, September 24–26, 1996. Southampton: Computational Mechanics Publications. 33-42 (1996).
The near field acoustic holography, or the spatial transformation of sound fields, can solve a class of inverse acoustics problems that provide images in the three-dimensional space based on the sound data on a two-dimensional hologram surface using the fast Fourier transform algorithm.
This paper develops the reconstruction technique for non-separable geometry based on boundary element method (BEM) and singular value decomposition. The sound sources are axisymmetric bodies with arbitrary boundary, and the hologram is a cylindrical surface encircling the sound source (it is more convenient to measure pressure on a cylindrical hologram than on a closed hologram). The pressure and normal velocity are related to the complex pressure on the hologram by Helmholtz integral equation. By expanding the velocity potential function on the boundary into a Fourier series with respect to the angle of revolution, the authors avoid the angular dependence of the boundary condition. This technique can handle arbitrary boundary conditions for axisymmetric problems without large matrices, reducing the two-dimensional integral formulation to the one-dimensional problem.
For the entire collection see [Zbl 0851.00075].
This paper develops the reconstruction technique for non-separable geometry based on boundary element method (BEM) and singular value decomposition. The sound sources are axisymmetric bodies with arbitrary boundary, and the hologram is a cylindrical surface encircling the sound source (it is more convenient to measure pressure on a cylindrical hologram than on a closed hologram). The pressure and normal velocity are related to the complex pressure on the hologram by Helmholtz integral equation. By expanding the velocity potential function on the boundary into a Fourier series with respect to the angle of revolution, the authors avoid the angular dependence of the boundary condition. This technique can handle arbitrary boundary conditions for axisymmetric problems without large matrices, reducing the two-dimensional integral formulation to the one-dimensional problem.
For the entire collection see [Zbl 0851.00075].
Reviewer: T.Wang (Cherry Hill)
MSC:
| 76Q05 | Hydro- and aero-acoustics |
| 76M15 | Boundary element methods applied to problems in fluid mechanics |
