Application of the boundary face method to solve the 3D acoustic wave problems

Abstract

The boundary face method based on the Burton-Miller equation is applied in this paper to solve radiation and scattering problem of acoustic waves. The present method is referred to as CHBFM. In the CHBFM, the boundary integration and field variables approximation are both performed in the parametric space of each boundary face exactly the same as the B-rep data structure in standard solid modelling packages. The geometric data, such as coordinates and the outward normals at Gaussian integration points are calculated directly from the faces rather than from element interpolation, thus the geometric errors are avoided. The CHBFM has been integrated into the widely used commercial CAD package UG-NX, and thus able to handle problems with complicated geometries. Numerical examples were presented to illustrate the accuracy and validity of the CHBFM. The results have shown that our method has better accuracy than the traditional method with almost the same CPU time when using the same number of elements. In addition, the CAD models, even with complicated geometry, are directly converted into the CHBFM models, thus the present method provides a new way toward automatic simulation.

Keywords:

• Boundary face method
• Burton-Miller equation
• acoustic wave problems
• CAD models

Additional information

Notes on contributors

X Wang

Xianhui Wang received his BE and MS from the College of Mathematics and Econometrics, Hunan University, China, in 2007 and 2009, respectively. He is currently working toward his PhD at the College of Mechanical and Vehicle Engineering, Hunan University, China. His research activities are concerned with numerical methods for acoustics problems and the boundary integral equation method.

J Zhang

Jianming Zhang received his PhD in engineering mechanics from Tsinghua University, China, in 2002. He then started postdoctoral research at Shinshu University, Japan, with Prof Masataka Tanaka. He became a JSPS fellow in 2005, and the research was funded until he joined Hunan University, China, in 2007. Since 2007, he has been employed as a professor in college of mechanical and vehicle engineering at Hunan University. He has been engaged in research of the boundary integral equation method and its applications in engineering problems.

F Zhou

Fenglin Zhou received his BE degree in information and computation science from Beijing Jiaotong University, China, in 2008. He is currently working toward his PhD at the College of Mechanical and Vehicle Engineering, Hunan University, China. His research activities are concerned with numerical methods for heat transfer problem and the boundary integral equation method.