In this paper, a new boundary integral formulation is proposed for acoustic radiation in a subsonic flow. This new boundary integral formulation uses the Green's function derived from the adjoint operator of the original governing differential equation. Unlike the conventional formulation that uses
A COUPLED FEM/BEM FORMULATION FOR ACOUSTIC RADIATION IN A SUBSONIC NON-UNIFORM FLOW
β Scribed by P. Zhang; T.W. Wu; L. Lee
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 522 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
In this paper, a coupled finite element/boundary element formulation for acoustic radiation from bodies submerged in a subsonic non-uniform flow field is presented. For simplicity, attention is focused on fully axisymmetric problems only. The finite element method (FEM) is applied to the non-uniform flow region, and the boundary element method (BEM) is applied to the uniform flow region. The BEM is based on a direct boundary integral formulation recently developed by Wu and Lee [7] for acoustics in a uniform flow. The major advantage of the direct boundary integral formulation is that the variables in the BEM can be expressed explicitly in terms of the velocity potential and its normal derivative. The coupling between the FEM and the BEM is achieved by converting the BEM model into a radiation admittance matrix to be used as the exterior boundary condition in the FEM model. Numerical examples are given to verify the formulation.
π SIMILAR VOLUMES
This paper presents a hypersingular integral equation for acoustic radiation in a subsonic uniform flow. The work is motivated by the need for a normal-derivative integral equation to be used in the Burton and Miller method for overcoming the non-uniqueness difficulty in the boundary integral formul