Potential of Room Acoustic Solver with Plane-Wave Enriched Finite Element Method
Potential of Room Acoustic Solver with Plane-Wave Enriched Finite Element Method
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DOI：
10.3390/app10061969
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发表时间：
2020-03
期刊：
影响因子：
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通讯作者：
Takeshi Okuzono;M. S. Mohamed;K. Sakagami
中科院分区：
文献类型：
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作者：
Takeshi Okuzono;M. S. Mohamed;K. Sakagami
近年来，利用基于波动的数值方法预测室内声学引起了人们的极大关注。然而，基于波的预测通常是计算昂贵的室内声学模拟，因为大尺寸的建筑空间，宽的可听频率范围，复杂的边界条件，和固有的误差特性的数值方法。因此，开发一个高效的基于波的房间声学求解器具有较小的计算资源是非常重要的实际应用。本文介绍了针对这一发展的初步研究。我们讨论了潜在的单位分割有限元法（PUFEM）作为一个房间声学解决方案，通过检查与二维真实尺度的房间声学问题。本文使用由沿各个方向传播的平面波丰富的低阶有限元。我们通过两个房间的声学问题，分别在一个单一的房间和一个耦合的房间，包括频率依赖的复阻抗边界的亥姆霍兹共振器型吸声器和多孔吸声器检查PUFEM性能对标准有限元。结果表明，该方法可以在单一粗网格下，以比标准有限元少得多的自由度，准确地预测宽带频率响应。减少达到O（10 − 2）至少，这表明PUFEM作为一个有效的房间声学求解器使用的巨大潜力。
Predicting room acoustics using wave-based numerical methods has attracted great attention in recent years. Nevertheless, wave-based predictions are generally computationally expensive for room acoustics simulations because of the large dimensions of architectural spaces, the wide audible frequency ranges, the complex boundary conditions, and inherent error properties of numerical methods. Therefore, development of an efficient wave-based room acoustic solver with smaller computational resources is extremely important for practical applications. This paper describes a preliminary study aimed at that development. We discuss the potential of the Partition of Unity Finite Element Method (PUFEM) as a room acoustic solver through the examination with 2D real-scale room acoustic problems. Low-order finite elements enriched by plane waves propagating in various directions are used herein. We examine the PUFEM performance against a standard FEM via two-room acoustic problems in a single room and a coupled room, respectively, including frequency-dependent complex impedance boundaries of Helmholtz resonator type sound absorbers and porous sound absorbers. Results demonstrated that the PUFEM can predict wideband frequency responses accurately under a single coarse mesh with much fewer degrees of freedom than the standard FEM. The reduction reaches O ( 10 − 2 ) at least, suggesting great potential of PUFEM for use as an efficient room acoustic solver.