西南交通大学学报（英文版）2007，Vol.15Issue(3)：271-275,5.
Wave Number Method for Three-Dimensional Steady-State Acoustic Problems
Wave Number Method for Three-Dimensional Steady-State Acoustic Problems
HUANG Fei 1HE Zeng 1WEI Jun-hong 1PENG Wei-cai1
作者信息
- 1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
- 折叠
摘要
Abstract
Based on the indirect Trefftz approach, a wave number method (WNM) is proposed to deal with three-dimensional steady-state acoustic problems. In the WNM, the dynamic pressure response variable is approximated by a set of wave functions, which exactly satisfy the Helmholtz equation. The set of wave functions comprise the exact solutions of the homogeneous part of the governing equations and some particular solution functions. The unknown coefficients of the wave functions can be obtained by enforcing the pressure approximation to satisfy the boundary conditions. Compared with the boundary element method (BEM), the WNM have a smaller system matrix, and is applicable to the radiation problems since the wave functions are independent of the domain size. A 3D acoustic cavity is exemplified to show the properties of the method. The results show that the wave number method is more efficient than the BEM, and it is fairly accurate.关键词
Weighted residual formulation/Acoustic/Trefftz method/Boundary element method/Wave number methodKey words
Weighted residual formulation/Acoustic/Trefftz method/Boundary element method/Wave number method分类
信息技术与安全科学引用本文复制引用
HUANG Fei,HE Zeng,WEI Jun-hong,PENG Wei-cai..Wave Number Method for Three-Dimensional Steady-State Acoustic Problems[J].西南交通大学学报（英文版）,2007,15(3):271-275,5.
