Domain decomposition method based on One-Way approaches for sound propagation in a partially lined duct

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-05-24 DOI:10.1016/j.wavemoti.2024.103351

Maëlys Ruello , Clément Rudel , Sébastien Pernet , Jean-Philippe Brazier

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引用次数: 0

Abstract

A numerical factorization method of the unidirectional propagation operators induced by the linearized Euler and Navier–Stokes equations is performed to construct a new One-Way approach to compute the sound radiation in a partially lined duct. The complex phenomena of reflection and transmission of incident waves originating from discontinuities in the duct wall are accurately taken into account by an iterative domain decomposition method. Furthermore, the proposed factorization approach allows both the derivation of the lined duct scattering matrix and an in-depth understanding of the impact of the acoustic liner on left- and right-going waves coming from a transmission or a reflection. Finally, the efficiency of the numerical method is shown based on a classical benchmark with two types of baseflows (laminar and turbulent Poiseuille flows) and by comparison with other numerical and experimental results. An unstable surface mode is observed at 1000 Hz, and we find good agreement with experimental data for the turbulent mean flow associated with the One-Way Navier–Stokes equations.

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基于单向方法的域分解法，用于部分内衬管道中的声音传播

对线性化欧拉方程和纳维-斯托克斯方程引起的单向传播算子进行了数值因式分解，从而构建了一种新的单向方法来计算部分内衬管道中的声辐射。通过迭代域分解法，精确地考虑了源自管道壁不连续面的入射波的反射和透射等复杂现象。此外，所提出的因式分解方法既能推导出内衬管道散射矩阵，又能深入理解声衬里对来自透射或反射的左向波和右向波的影响。最后，基于两种基流（层流和湍流）的经典基准，并通过与其他数值和实验结果的比较，展示了该数值方法的效率。在 1000 Hz 处观察到不稳定的表面模式，我们发现与单向纳维-斯托克斯方程相关的湍流平均流与实验数据非常吻合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.