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arXiv 2307.03063physics.flu-dyn
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湍流通道中的最宽展向尺度

Widest scales in turbulent channels

Ramón Pozuelo, André V. G. Cavalieri, Philipp Schlatter, Ricardo Vinuesa

AI总结:

本文通过三组不同展向宽度的湍流通道直接数值模拟,研究计算域尺寸对最宽展向尺度的影响,发现90%的流向能量脉动不受域尺寸显著影响,且宽展向相干结构并非域截断伪影。

摘要:

通过在摩擦雷诺数 $\mathrm{Re}_τ=550$ 下进行的三组周期性通道流模拟,研究了湍流通道流中最宽的展向尺度。所有算例中通道的长度和高度均相同(分别为 $L_x/h=8π$ 和 $L_y/h=2$),而宽度逐步加倍:$L_z/h = \{4π, 8π, 16π\}$。在我们的模拟中,增大计算域的影响无法以统计显著性加以确定,因为各模拟之间统计量的差异与收敛误差处于同一量级。采用一个与较小通道相似的通道流(《J. Fluid Mech.》,第500卷,2004年,第135–144页)作为参考,该参考算例经过了极长时间的时均处理。计算了流向速度的一维展向谱,目的是评估计算域尺寸对最宽尺度的影响。我们的结果表明,$90\\%$ 的总流向能量脉动可以在不受计算域尺寸显著影响的情况下得到恢复。其余 $10\\%$ 的能量反映出,外区中最宽的尺度受计算域展向长度的影响最为显著。即使展向计算域尺寸增大到标准展向长度的4倍,$k_z = 0$ 处的功率谱密度仍保持恒定,这表明宽的展向相干结构并不是计算域截断造成的人为产物。

英文摘要:

The widest spanwise scales in turbulent channel flows are studied through the use of three periodic channel-flow simulations at friction Reynolds number $\mathrm{Re}_τ=550$. The length and height of the channels are the same in all cases ($L_x/h=8π$ and $L_y/h=2$ respectively), while the width is progressively doubled: $L_z/h = \{4π, 8π, 16π\}$. The effects of increasing the domain can not be determined with statistical significance in our simulations, since the difference in the statistics between the simulations is of the same order as the errors of convergence. A channel flow similar to the smaller one ($\textit{J. Fluid Mech.}$, vol. 500, 2004, pp. 135--144), which was averaged over a very long time, was used as a reference. The one-dimensional spanwise spectrum of the streamwise velocity is computed with the aim of assessing the domain-size effect on the widest scales. Our results indicate that $90\%$ of the total streamwise energetic fluctuations is recovered without a significant influence of the size of the domain. The remaining $10\%$ of the energy reflects that the widest scales in the outer layer are the ones most significantly affected by the spanwise length of the domain. The power-spectral density for $k_z = 0$ remains constant even if the size of the domain in the spanwise direction is increased up to 4 times the standard spanwise length, indicating that wide, spanwise coherent structures are not an artifact of domain truncation.

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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