A Hybrid Smoothed Finite Element Method for Predicting the Sound Field in the Enclosure with High Wave Numbers

Wave-based methods for acoustic simulations within enclosures suffer the numerical dispersion and then usually have evident dispersion error for problems with high wave numbers. To improve the upper limit of calculating frequency for 3D problems, a hybrid smoothed finite element method (hybrid SFEM)...

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Bibliographic Details
Published in:Shock and vibration 2019-01, Vol.2019 (2019), p.1-9
Main Authors: Wang, Haitao, Lei, Ye, Zeng, Xiangyang
Format: Article
Language:English
Subjects:
Accuracy
Acoustics
Analysis
Computer simulation
Computing time
Enclosures
Engineering
Finite element analysis
Finite element method
Mathematical analysis
Mechanics
Methods
Nonlinear programming
Numerical analysis
Simulation
Smoothing
Sound fields
Statistics
Stiffness matrix
Wavelengths
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Summary:Wave-based methods for acoustic simulations within enclosures suffer the numerical dispersion and then usually have evident dispersion error for problems with high wave numbers. To improve the upper limit of calculating frequency for 3D problems, a hybrid smoothed finite element method (hybrid SFEM) is proposed in this paper. This method employs the smoothing technique to realize the reduction of the numerical dispersion. By constructing a type of mixed smoothing domain, the traditional node-based and face-based smoothing techniques are mixed in the hybrid SFEM to give a more accurate stiffness matrix, which is widely believed to be the ultimate cause for the numerical dispersion error. The numerical examples demonstrate that the hybrid SFEM has better accuracy than the standard FEM and traditional smoothed FEMs under the condition of the same basic elements. Moreover, the hybrid SFEM also has good performance on the computational efficiency. A convergence experiment shows that it costs less time than other comparison methods to achieve the same computational accuracy.
ISSN:1070-9622
1875-9203
DOI:10.1155/2019/7137036