混合有限元-波函数法的声学预测方法
首发时间:2017-04-13
摘要:有限元法(FEM,Finite Element Method)具有几何适应性强但随分析频率增加计算时间成本迅速增加的特性,而波函数法(WBM,Wave Based Method)拥有收敛性好但几何适应性差的特性。为实现两种方法的优劣互补,提出基于声压和法向速度连续性条件的有限元法和波函数法混合建模的FE-WBM(Finite Element-Wave Based Method)。以类车声腔为例,建立了2D车内声腔的FE-WBM模型,实现了车内声学响应预测。将FE-WBM模型与参考有限元模型在600Hz和900Hz的声压云图以及1000Hz内的响应点声压频响曲线做了对比,结果表明FE-WBM模型与参考有限元模型的计算结果能够较好的吻合,说明FE-WBM的有效性。分别以模型自由度和CPU运行时间为自变量,以响应点相对误差为因变量,比较了两种方法的收敛特性,收敛曲线表明,在相同误差水平前提下,FE-WBM模型在模型自由度和CPU运行时间方面较传统有限元都有明显的优势。
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Hybrid finite element-wave based method for acoustic prediction
Abstract:The FEM(Finite Element Method) has the characteristics of geometric adaptability, but low computational efficiency with the increase of the analysis frequency, while the WBM(Wave Based Method) has the properties of high convergence rate but poor geometric flexibility. To combine the flexibility of FEM for complex geometries and of the computational efficiency of WBM,the hybrid coupling FE-WBM is proposed by applying normal velocity and acoustic pressure continuity conditions at the interface between FE domian and WB domian. Taking the vehicle cavity as an example, the FE-WBM model of a 2D interior cavity is established, and the vehicle sound pressure prediction is realized. The sound pressure nephograms at 600Hz and 900Hz and the frequency-response characteristic of the response point within 1000Hz of the FE-WBM are compared with those of the reference FEM. The results show that FE-WBM matches well with the reference FEM, which shows the effectiveness of FE-WBM. Taking the degree of freedom of the model and the running time of the CPU as independent variables respectively, while the relative error of response point as dependent variables, the convergence curves shows that the FE-WBM has a clear advantage over the traditional FEM in terms of the degree of freedom of the model and the running time of the CPU at the same error level.
Keywords: acoustic prediction wave based method finite element method finite element-wave based method
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