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arXiv 2104.09663physics.flu-dyn
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作为流动线性非模态不稳定性结果的湍流时间发展剪切层的空气动力学声

Aerodynamic sound of turbulent time-developing shear layer as the outcome of the flow linear non-modal instability

George Khujadze, David Gogichaishvili, George Chagelishvili, Alexander Tevzadze, Jan-Niklas Hau, Holger Foysi

摘要:

本文的目的是证实非正规的剪切流线性算子及其后果-非模态动力学的扰动-在形成声波输出的时间发展的自由剪切/混合层的重要性。首先,空间傅立叶谐波的线性瞬态动力学被认为是在一个三维的同熵平行无界无粘恒定剪切流,可以模拟剪切层的中心/身体部分。非模态方法允许捕获声波产生的唯一线性机制-- \textit{the linear vortex-wave mode coupling induced by the shear flow non-normality}。我们描述的具体/关键功能的生成过程中,应该留下痕迹的进一步动态生成的波。然后,给出了中等对流马赫数(具体为$M_c=0.7$)下可压缩湍流时间发展混合层的直接数值模拟结果,以及具有固定流向和剪切方向长度($L_x=100, L_y=200$)和不同流向展向展弦比($L_x/L_z=0.5,1,2$)的模拟箱$(L_x,L_y,L_z)$。模拟识别的声波输出的起源:一个\emph{linear generation process of acoustic waves in the shear layer core region, induced by the flow non-normality}的主导地位,可观察到在近场的声波发射的流动。

英文摘要:

The aim of this paper is to substantiate the importance of non-normality of shear flow linear operators and its consequence -- the non-modal dynamics of the perturbations -- in the formation of acoustic wave output of time-developing free shear/mixing layers. Initially, the linear transient dynamics of spatial Fourier harmonics is considered in a 3D homentropic parallel unbounded inviscid constant shear flow which can model the central/body part of the shear layer. The non-modal approach allows to capture the only linear mechanism of the acoustic wave generation -- \textit{the linear vortex-wave mode coupling induced by the shear flow non-normality}. We describe the specific/key features of the generation process that should leave traces on the further dynamics of the generated waves. Thereafter, the results of direct numerical simulations of compressible turbulent time-developing mixing layers for a moderate convective Mach number (specifically, $M_c=0.7$) and simulation boxes $(L_x,L_y,L_z)$ with fixed streamwise and shearwise lengths ($L_x=100, L_y=200$) and different streamwise-spanwise aspect ratios ($L_x/L_z=0.5,1,2$) are presented. The simulations identify the origin of the acoustic wave output: the dominance of a \emph{linear generation process of acoustic waves in the shear layer core region, induced by the flow non-normality}, observable in the near field of acoustic waves emitted by the flow.

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