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Large-eddy simulation of large-scale structures in long channel flow. (English) Zbl 1205.76146
Summary: We investigate statistics of large-scale structures from large-eddy simulation (LES) of turbulent channel flow at friction Reynolds numbers $$Re_{\tau } = 2K$$ and 200K (where K denotes 1000). In order to capture the behaviour of large-scale structures properly, the channel length is chosen to be 96 times the channel half-height. In agreement with experiments, these large-scale structures are found to give rise to an apparent amplitude modulation of the underlying small-scale fluctuations. This effect is explained in terms of the phase relationship between the large- and small-scale activity. The shape of the dominant large-scale structure is investigated by conditional averages based on the large-scale velocity, determined using a filter width equal to the channel half-height. The conditioned field demonstrates coherence on a scale of several times the filter width, and the small-scale-large-scale relative phase difference increases away from the wall, passing through $$\pi /2$$ in the overlap region of the mean velocity before approaching $$\pi$$ further from the wall. We also found that, near the wall, the convection velocity of the large scales departs slightly, but unequivocally, from the mean velocity.

##### MSC:
 76F65 Direct numerical and large eddy simulation of turbulence 76F40 Turbulent boundary layers
##### Keywords:
turbulent boundary layers; turbulence simulation
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##### References:
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