Determination of Acoustic Scattering Matrices from Linearized Compressible Flow Equations with Application to Thermoacoustic Stability Analysis

IF 1.3 3区物理与天体物理 Q3 ACOUSTICS

Journal of Theoretical and Computational Acoustics Pub Date : 2019-10-15 DOI:10.1142/S2591728518500275

M. Meindl, Malte Merk, F. Fritz, W. Polifke

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引用次数: 1

Abstract

The acoustic transmissions and reflections of plane waves at duct singularities can be represented with so-called scattering matrices. This paper shows how to extract scattering matrices utilizing linearized compressible flow equations and provides a comparative study of different governing equations, namely the Helmholtz, linearized Euler and linearized Navier–Stokes equations. A discontinuous Galerkin finite element method together with a two-source forcing is employed. With this method, the scattering matrix for a radial swirler of a combustion test-rig is computed and validated against the results of a fully compressible Large-Eddy-Simulation. Analogously, the scattering behavior of an axial swirler is investigated. The influence of acoustic-hydrodynamic interactions, viscous effects as well as unsteady boundary layers on the results is investigated for both configurations. A thermoacoustic stability analysis of the combustion test-rig housing the axial swirler is carried out, utilizing the scattering matrix of the swirler. Major influence of the reflections coming from the swirler on the thermoacoustic eigenfrequencies is found.

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线性化可压缩流动方程声散射矩阵的确定及其在热声稳定性分析中的应用

平面波在管道奇点处的声传输和反射可以用所谓的散射矩阵来表示。本文介绍了如何利用线性化的可压缩流动方程提取散射矩阵，并对不同的控制方程，即亥姆霍兹方程、线性化欧拉方程和线性化纳维-斯托克斯方程进行了比较研究。采用双源强迫下的不连续伽辽金有限元法。利用该方法计算了某燃烧试验台径向旋流器的散射矩阵，并与全可压缩大涡模拟结果进行了对比验证。类似地，研究了轴向旋流器的散射行为。研究了两种构型的声-水动力相互作用、粘性效应和非定常边界层对结果的影响。利用轴向旋流器的散射矩阵，对轴向旋流器燃烧试验台的热声稳定性进行了分析。发现了旋流器反射对热声特征频率的主要影响。

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来源期刊

Journal of Theoretical and Computational Acoustics Computer Science-Computer Science Applications

CiteScore

2.90

自引率

42.10%

发文量

期刊介绍： The aim of this journal is to provide an international forum for the dissemination of the state-of-the-art information in the field of Computational Acoustics. Topics covered by this journal include research and tutorial contributions in OCEAN ACOUSTICS (a subject of active research in relation with sonar detection and the design of noiseless ships), SEISMO-ACOUSTICS (of concern to earthquake science and engineering, and also to those doing underground prospection like searching for petroleum), AEROACOUSTICS (which includes the analysis of noise created by aircraft), COMPUTATIONAL METHODS, and SUPERCOMPUTING. In addition to the traditional issues and problems in computational methods, the journal also considers theoretical research acoustics papers which lead to large-scale scientific computations.