Acoustic analysis using edge-based smoothed finite element method: time and frequency domain
HE Zhi-cheng1,2, LI Guang-yao1, CHENG ai-guo1，Zhong Zhi-hua1, ZHOU Ze1
1. State Key Lab. of Advanced Technology for Vehicle Body Design & Manufacture, Hunan University, Changsha 410082, China; 2. Centre for Advanced Computations in Engineering Science (ACES), Department of Mechanical Engineering, National University of Singapore, 117576 Singapore
Abstract：Abstract：The standard finite element method (FEM) encounters two errors in the computational acoustic problems: the conventional interpolation error and the dispersion error which plays an important role in the computational acoustic. The dispersion error is rooted at the “overly-stiff” property of the FEM. In order to control the dispersion error, the most effective measure is to make the numerical model reflect the exact model. In this paper, an edge-based smoothed finite element method (ES-FEM) was adopted for acoustic problems both in the frequency domain and time domain. The present method using only triangular mesh which is very adaptive for any complicated domains and with gradient smoothing operation performed over each edge-based smoothing domain can reduce the stiffness and provide proper “softness” to the model. The results demonstrate that the ES-FEM can provide more accurate solution both in the time and frequency domain compared with the linear FEM using the same meshes.
何智成;李光耀;成艾国;钟志华;周泽. 光滑有限元的声学研究：时域和频域分析[J]. , 2012, 31(16): 122-127.
HE Zhi-cheng;LI Guang-yao;CHENG ai-guo;Zhong Zhi-hua;ZHOU Ze. Acoustic analysis using edge-based smoothed finite element method: time and frequency domain . , 2012, 31(16): 122-127.
2012, Vol. 31 
