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Space-time characteristics of wall-pressure and wall shear-stress fluctuations in wall-modeled large eddy simulation

机译:壁模拟大涡模拟中壁压和剪应力波动的时空特征

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摘要

We report the space-time characteristics of the wall-pressure fluctuations and wall shear-stress fluctuations from wall-modeled large eddy simulation (WMLES) of a turbulent channel flow at Reτ = 2000. Two standard zonal wall models (equilibrium stress model and nonequilibrium model based on unsteady RANS) are employed, and it is shown that they yield similar results in predicting these quantities. The wall-pressure and wall shear-stress fields from WMLES are analyzed in terms of their r.m.s. fluctuations, spectra, two-point correlations, and convection velocities. It is demonstrated that the resolution requirement for predicting the wall-pressure fluctuations is more stringent than that for predicting the velocity. At least δ/Δx > 20 and δ/Δz > 30 are required to marginally resolve the integral length scales of the pressure-producing eddies near the wall. Otherwise, the pressure field is potentially aliased. Spurious high wave number modes dominate in the streamwise direction, and they contaminate the pressure spectra leading to significant overprediction of the second-order pressure statistics. When these conditions are met, the pressure statistics and spectra at low wave number or low frequency agree well with the DNS and experimental data. On the contrary, the wall shear-stress fluctuations, modeled entirely through the RANS-based wall models, are largely underpredicted and relatively insensitive to the grid resolution. The short-time, small-scale near-wall eddies, which are neither resolved nor modeled adequately in the wall models, seem to be important for accurate prediction of the wall shear-stress fluctuations.
机译:我们从Reτ= 2000的湍流通道的壁模型大涡模拟(WMLES)报告了壁压力波动和壁切应力波动的时空特征。两种标准的纬向壁模型(平衡应力模型和非平衡模型)使用基于非稳态RANS的模型),结果表明它们在预测这些数量时产生相似的结果。根据WMLES的r.m.s分析了壁压和壁切应力场。波动,光谱,两点关联和对流速度。结果表明,预测壁压波动的分辨率要求比预测速度的要求更为严格。至少需要δ/Δx> 20和δ/Δz> 30,才能在一定程度上解决壁附近压力产生涡流的整体长度尺度。否则,可能会混淆压力场。杂散高波数模式在流方向上占主导地位,并且它们污染了压力谱,从而导致对二阶压力统计量的显着高估。当满足这些条件时,低波数或低频的压力统计数据和频谱与DNS和实验数据非常吻合。相反,完全通过基于RANS的墙模型进行建模的墙剪应力波动在很大程度上被低估,并且对网格分辨率相对不敏感。短时,小规模的近壁涡流在壁模型中既未得到解析也未得到充分建模,对于准确预测壁切应力波动而言似乎很重要。

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  • 页码 024404
  • 总页数 27
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