| Wave Number Method for Three-Dimensional Steady-State Acoustic Problems |
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| 作者姓名： | 黄飞 何锃 魏俊红 彭伟才 |
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| 作者单位： | Department of Mechanics Huazhong University of Science and Technology，Department of Mechanics，Huazhong University of Science and Technology，Department of Mechanics，Huazhong University of Science and Technology，Department of Mechanics，Huazhong University of Science and Technology，Wuhan 430074 China，Wuhan 430074 China，Wuhan 430074 China，Wuhan 430074 China |
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| 摘 要： | 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.
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| 关 键 词： | 音响学 Trefftz方法 边界元素法 三维空间 |
| 文章编号： | 1005-2429（2007）03-0271-05 |
| 修稿时间： | 2006-08-14 |
Wave Number Method for Three-Dimensional Steady-State Acoustic Problems |
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| HUANG Fei,HE Zeng,WEI Jun-hong,PENG Wei-cai.Wave Number Method for Three-Dimensional Steady-State Acoustic Problems[J].Journal of Southwest Jiaotong University,2007,15(3):271-275. |
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| Authors: | HUANG Fei HE Zeng WEI Jun-hong PENG Wei-cai |
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| Institution: | Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China |
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| 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. |
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| Keywords: | Weighted residual formulation Acoustic Trefftz method Boundary element method Wave number method |
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