论文标题

不均匀湍流的惯性范围

Inertial range scaling of inhomogeneous turbulence

论文作者

Araki, Ryo, Bos, Wouter J. T.

论文摘要

我们调查了不均匀性如何影响$ k^{ - 5/3} $湍流动能光谱的惯性范围(带有$ k $ the vavenumber)。对于弱统计不均匀性,能量谱可以描述为平衡光谱和扰动。理论上的论点表明,后一个贡献将缩放为$ k^{ - 7/3} $。使用三维kolmogorov流的直接数值模拟来评估该预测。

We investigate how inhomogeneity influences the $k^{-5/3}$ inertial range scaling of turbulent kinetic energy spectra (with $k$ the wavenumber). For weak statistical inhomogeneity, the energy spectrum can be described as an equilibrium spectrum plus a perturbation. Theoretical arguments suggest that this latter contribution scales as $k^{-7/3}$. This prediction is assessed using direct numerical simulations of three-dimensional Kolmogorov flow.

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