Modeling sound propagation in acoustic waveguides using a hybrid numerical method.
Modeling sound propagation in acoustic waveguides using a hybrid numerical method.
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使用混合数值方法对声波导中的声音传播进行建模。
DOI：
10.1121/1.2967837
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
R. Kirby
中科院分区：
文献类型：
--
作者：
R. Kirby
利用一种混合数值技术研究了声波导中的声传播。在这里，假设波导的长度是无限的，具有任意但均匀的横截面。在导向器的中央放置具有不规则不均匀形状的短部件部分。该混合方法针对导轨的均匀部分利用基于波的模态解，并使用模式匹配或点配置方法将其与组件部分的基于标准有限元的解进行匹配。因此，人们只需要在波导的均匀截面上生成横向有限元网格，这就大大减少了所需的自由度数。此外，利用基于波的解消除了使用必要的有限网格在无穷远处数值实施无反射边界条件的需要，这在只使用标准有限元方法的研究中经常遇到。因此，可以很容易地计算部件的传输损失，并给出三个例子的预测：膨胀室、收敛-扩张管道和圆柱体。实验结果与解析模型吻合较好，并对多模入射场和透射场的传输损耗进行了预测。
Sound propagation in an acoustic waveguide is examined using a hybrid numerical technique. Here, the waveguide is assumed to be infinite in length with an arbitrary but uniform cross section. Placed centrally within the guide is a short component section with an irregular nonuniform shape. The hybrid method utilizes a wave based modal solution for a uniform section of the guide and, using either a mode matching or point collocation approach, matches this to a standard finite element based solution for the component section. Thus, one needs only to generate a transverse finite element mesh in uniform sections of the waveguide and this significantly reduces the number of degrees of freedom required. Moreover, utilizing a wave based solution removes the need to numerically enforce a nonreflecting boundary condition at infinity using a necessarily finite mesh, which is often encountered in studies that use only the standard finite element method. Accordingly, the component transmission loss may readily be computed and predictions are presented here for three examples: an expansion chamber, a converging-diverging duct, and a circular cylinder. Good agreement with analytic models is observed, and transmission loss predictions are also presented for multimode incident and transmitted sound fields.