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arXiv physics/0507144physics.flu-dyn
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大规模流动对turbulence的影响

The imprint of large-scale flows on turbulence

A. Alexakis, P. D. Mininni, A. Pouquet

摘要:

我们使用1024^3点网格上的直接数值模拟数据研究了流体动力学湍流中相互作用的局部性;流动是由泰勒-格林涡强迫的。的能量的惯性范围内得到的通量是恒定的,频谱遵循近似柯尔莫哥洛夫定律。非线性三元相互作用主要是由它们的非局部分量,涉及广泛分离的尺度。由此产生的非线性传输本身在每个尺度上都是局部的,但是能量级联中的步骤与该尺度无关,并且与流动的积分尺度直接相关。大尺度的相互作用占总能量通量的20%。可能的解释偏离自相似模型,这些研究结果之间的联系和不稳定性,以及它们的后果建模的湍流进行了简要的讨论。

英文摘要:

We investigate the locality of interactions in hydrodynamic turbulence using data from a direct numerical simulation on a grid of 1024^3 points; the flow is forced with the Taylor-Green vortex. An inertial range for the energy is obtained in which the flux is constant and the spectrum follows an approximate Kolmogorov law. Nonlinear triadic interactions are dominated by their non-local components, involving widely separated scales. The resulting nonlinear transfer itself is local at each scale but the step in the energy cascade is independent of that scale and directly related to the integral scale of the flow. Interactions with large scales represent 20% of the total energy flux. Possible explanations for the deviation from self-similar models, the link between these findings and intermittency, and their consequences for modeling of turbulent flows are briefly discussed.

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。

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