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Trailing Edge Noise Predictions Using Compressible LES and Acoustic Analogy

机译:使用可压缩LES和声学类比的后缘噪声预测

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The present investigation of airfoil trailing edge noise generation and propagation concerns the broadband noise that arises from the interaction of turbulent boundary layers with the airfoil trailing edge and the tonal noise that arises from vortex shedding generated by laminar boundary layers. Large eddy simulations (LES) are conducted for a NACA0012 airfoil with blunt rounded trailing edge for three flow configurations with different freestream Mach numbers (M_∞ = 0.115 and 0.4) and angles of incidence (AoA = 0 and 5 deg.). The Reynolds number based on the airfoil chord is fixed at Re_c = 408000. The acoustic predictions are performed by the Ffowcs Williams & Hawkings (FWH) acoustic analogy formulation and incorporate convective effects. Surface and volume integrations of dipole and quadrupole source terms appearing in the FWH equation are performed using a 3D wideband multi-level adaptive fast multipole method (FMM) in order to accelerate the calculations of aeroacoustic integrals. The effects of Mach number and non-linear quadrupole sources are assessed. In order to validate the numerical solutions, flow simulation and acoustic prediction results are compared to experimental data available in the literature and excellent agreement is observed. Non-linear quadrupole noise sources play an important role in farfield sound radiation for the higher Mach number flow configuration, M_∞=0.4, for both the tonal peak frequency and higher frequencies. A scaling study is performed and, although surface pressure spectra scale with hydrodynamic scaling, far-field acoustics has a more complex behavior. The broad vortex-shedding tone generated by the laminar boundary layer vortex shedding noise causes a departure from the classical fifth power-law scaling, a behavior also seen in previous experiments.
机译:当前对机翼后缘噪声的产生和传播的研究涉及由湍流边界层与机翼后缘的相互作用产生的宽带噪声以及由层流边界层产生的涡旋脱落引起的音调噪声。针对具有不同的自由流马赫数(M_∞= 0.115和0.4)和入射角(AoA = 0和5度)的三种流动配置,对具有钝圆后缘的NACA0012机翼进行了大涡模拟(LES)。基于翼型弦的雷诺数固定为Re_c =408000。声学预测由Ffowcs Williams&Hawkings(FWH)声学类比公式执行,并包含对流效应。使用3D宽带多级自适应快速多极子方法(FMM)对FWH方程中出现的偶极子和四极子源项进行表面和体积积分,以加快空气声积分的计算速度。评估了马赫数和非线性四极杆源的影响。为了验证数值解,将流动模拟和声学预测结果与文献中提供的实验数据进行了比较,并观察到了很好的一致性。对于音调峰值频率和更高频率,对于更高的马赫数流配置,M_∞= 0.4,非线性四极噪声源在远场声辐射中起着重要作用。进行了定标研究,尽管表面压力谱随流体动力学定标而定,但远场声学具有更复杂的行为。由层流边界层涡旋脱落噪声产生的宽泛的涡旋脱落音导致偏离经典的第五幂律定标,这种行为在先前的实验中也可以看到。

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