Performances of the Partition of Unity Finite Element Method for the analysis of two-dimensional interior sound fields with absorbing materials
Performances of the Partition of Unity Finite Element Method for the analysis of two-dimensional interior sound fields with absorbing materials
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DOI：
10.1016/j.jsv.2012.06.016
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发表时间：
2013-04
影响因子：
4.7
通讯作者：
Jean-Daniel Chazot;B. Nennig;E. Perrey-Debain
中科院分区：
文献类型：
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作者：
Jean-Daniel Chazot;B. Nennig;E. Perrey-Debain
本文对含吸声材料的二维空腔声场进行了数值模拟。虽然有限元法（FEM）可以用于此目的，实现合理的精度所需的离散化水平，使该方法在中频范围内不切实际。为了缓解这一限制，单位分解有限元法（PUFEM）使用平面波函数已被证明是非常有效的解决短波亥姆霍兹问题。在目前的工作中，该方法被扩展到计算的压力波场内的吸收介质，其被建模为散装反应材料，其特征在于由复值和频率依赖的平均密度和动态压缩性。拉格朗日乘子用于加强在空气-材料界面的传输条件。PUFEM的性能进行了比较，与标准的有限元在几个例子的实际利益。结果表明，该技术是一个很好的候选人，解决在高频噪声控制问题。
The paper deals with the numerical simulation of the acoustic field in two-dimensional cavities in which absorbing materials are present. Though Finite Element Method (FEM) could be employed for this purpose, the discretization level required for achieving reasonable accuracy renders the method impractical in the mid-frequency range. To alleviate this limitation, the Partition of Unity Finite Element Method (PUFEM) using plane wave functions has been shown to be very effective for solving short wave Helmholtz problems. In the present work, the method is extended to the computation of the pressure wave field within the absorbing media which is modeled as a bulk-reacting material characterized by a complex-valued and frequency dependent mean density and dynamic compressibility. Lagrange multipliers are used to enforce the transmission conditions at the air–material interface. Performances of the PUFEM are compared with a standard FEM in several examples of practical interests. It is shown that the technique is a good candidate for solving noise control problems at high frequency.