Journal
PHYSICS OF FLUIDS
Volume 28, Issue 1, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.4939712
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Funding
- EPSRC [EP/G061556/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/G061556/1] Funding Source: researchfish
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A phenomenological model is provided, based on post-processing Direct Numerical Simulation (DNS) data at Re-tau = 1020, which permits the near-wall-turbulence statistics to be predicted from a universal signal, free from the effects of large-scale motions, in combination with information on the large-scale motions in the outer log-law region. The separation of large-scale and small-scale motions is effected, unusually, by means of the Empirical Mode Decomposition method, without explicit wavelength cutoffs. The model first yields the universal field by removing, from a full-volume turbulence field at an arbitrary time level, the effects of large-scale convective displacements (footprints), the modulation of the small-scale motions, caused by the large-scale motions, and distortions arising from sweep-induced splatting. In contrast to other modelling efforts, the present framework extends to all three velocity components, as is demonstrated by reference to joint (u-v) and (u-w) probability-density functions (PDFs). The model is then successfully used to reconstitute the full near-wall statistics by combining the universal field with the outer large-scale motions at any time level other than that for which the universal field was determined. (C) 2016 AIP Publishing LLC.
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