振幅调制系数的解释及一种基于输运的替代方法
The interpretation of the amplitude modulation coefficient and a transport-based alternative
AI总结：
本文指出振幅调制系数$R$抑制了Navier-Stokes方程的对流非线性特征，实际测量的是线性相互作用，并提出了一种可检测对流非线性并量化湍动能输运的替代系数$R_T$。
摘要：
振幅调制系数$R$被广泛用于表征壁面湍流中大尺度与小尺度运动之间的非线性相互作用，但实际上它并不适用于检测Navier-Stokes方程的对流非线性。通过对$R$进行谱分解并建立三重对流相互作用的简化模型，我们表明$R$实际上抑制了对流尺度相互作用的特征，并指出$R$可能测量的是大尺度运动与背景平均流之间的线性相互作用。我们提出了一种专门用于检测对流非线性的替代系数，并展示了这一新系数$R_T$如何同时量化湍流尺度相互作用中涉及的湍动能输运。
英文摘要：
The amplitude modulation coefficient, $R$, that is widely used to characterize non-linear interactions between large- and small-scale motions in wall-bounded turbulence is not actually compatible with detecting the convective non-linearity of the Navier-Stokes equations. Through a spectral decomposition of $R$ and a simplified model of triadic convective interactions, we show that $R$ actually suppresses the signature of convective scale interactions, and we suggest that what $R$ likely measures is linear interactions between large-scale motions and the background mean flow. We propose an alternative coefficient which is specifically designed for the detection of convective non-linearities, and we show how this new coefficient, $R_T$, also quantifies the turbulent kinetic energy transport involved in turbulent scale interactions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
