The aim of this paper is to propose a numerical strategy for computing the solution of two-dimensional time-harmonic acoustic multiple scattering problems at high-frequency. The scatterers are assumed to be circular, leading therefore to semi-analytical representation formulae of the scattered field
On the use of co-ordinate stretching in the numeral computation of high frequency scattering
โ Scribed by A. Bayliss
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 502 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
The scattering of the sound of a jet engine by an airplane fuselage is modelled by solving the axially symmetric Helmholtz equation exterior to a long thin ellipsoid. The integral equation method based on the single layer potential formulation is used. A family of coordinate systems on the body is introduced and an algorithm is presented to determine the optimal co-ordinate system. Numerical results verify that the optimal choice enables the solution to be computed with a grid that is coarse relative to the wavelength. .
๐ SIMILAR VOLUMES
The purpose of this paper is to discuss the fundamental differences between the degenerate plate element formulations [1-3] and the plate and shell formulations obtained using the absolute nodal co-ordinate formulation introduced for the large rotation and deformation analysis of flexible bodies [4]