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On compressibility assumptions in aeroacoustic integrals: a numerical study with subsonic mixing layers

机译:空气声积分中的可压缩性假设:亚音速混合层的数值研究

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摘要

Two assumptions commonly made in predictions based on Lighthill’s formalism are investigated: a constant density in the quadrupole expression, and the evaluation of the source quantity from incompressible simulations. Numerical predictions of the acoustic field are conducted in the case of a subsonic spatially evolving two-dimensional mixing layer at Re = 400. Published results of the direct noise computation (DNC) of the flow are use as reference and input for hybrid approaches before the assumptions on density are progressively introduced. Divergence free velocity fields are obtained from an incompressible simulation of the same flow case, exhibiting the same hydrodynamic field as the DNC. Fair comparisons of the hybrid predictions with the reference acoustic field valid both assumptions in the source region for the tested values of the Mach number. However, in the observer region, the inclusion of flow effects in the Lighthill source term is not preserved, which isillustrated through a comparison with the Kirchhoff wave-extrapolation formalism, and with the use of a convected Green function in the integration process.
机译:研究了基于Lighthill形式主义的预测中通常做出的两个假设:四极表达式中的恒定密度,以及来自不可压缩模拟的源量评估。在Re = 400的亚音速空间演化二维混合层的情况下,对声场进行了数值预测。流动的直接噪声计算(DNC)的已发布结果用作混合方法的参考和输入,然后再输入。关于密度的假设逐步引入。自由散度场是从相同流动情况的不可压缩模拟获得的,表现出与DNC相同的流体动力场。混合预测与参考声场的公平比较在源区域中对马赫数测试值的两个假设都成立了。但是,在观察者区域中,没有保留在Lighthill源项中包含流动效应的情况,这是通过与Kirchhoff波外推形式主义进行比较以及在积分过程中使用对流Green函数来说明的。

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