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Probing high-Reynolds-number effects in numerical boundary layers
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10.1063/1.4792164
/content/aip/journal/pof2/25/2/10.1063/1.4792164
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/2/10.1063/1.4792164

Figures

Image of FIG. 1.
FIG. 1.

Mean velocity distributions. The thin red line in panel (a) denotes the standard law of the wall, compounding = with = / + , = 0.394, = 4.84. The circles indicate experimental data by Smith at . Panel (b) shows the diagnostic function Ξ (as defined in Eq. (1) ), the horizontal line denoting the reference 1/ log-law value. See Table I for line legend.

Image of FIG. 2.
FIG. 2.

Distribution of density-scaled Reynolds stress components, . The circles indicate experimental data by Smith at . See Table I for line legend.

Image of FIG. 3.
FIG. 3.

Distribution of transformed skin friction ( , as defined in Eq. (2) ), and peak streamwise velocity variance. Circles denote data from the TBL1-4 DNS datasets. Incompressible DNS data are shown from Schlatter and Örlü (squares), Simens (diamonds), and Sillero (triangles). Low-speed experimental data from Smith are shown with gradient symbols. In panel (a), the dashed line indicates Eq. (3) , and the solid line Eq. (4) . In panel (b), the solid line indicates Eq. (5) , and the dashed line Eq. (6) .

Image of FIG. 4.
FIG. 4.

Instantaneous streamwise velocity field in plane at = 15 for TBL4 dataset. Contour levels are shown for −0.25 ⩽ / ⩽ 0.25, from dark to light shades. The figure inset shows a zoom of a small rectangular region, to highlight the turbulence fine scales.

Image of FIG. 5.
FIG. 5.

Pre-multiplied spanwise spectral densities of in inner scaling. In panel (a) data are shown at = 15 for TBL1-4 (see Table I for line legend). In panel (b) spectra are shown for TBL4 at = 15 (solid), 44 (dashes), 70 (dash-dots), 97 (dots), 125 (long dashes), 156 (dash-dot-dot). The horizontal line in (a) is indicative of behavior.

Image of FIG. 6.
FIG. 6.

Compensated spanwise spectral densities of in outer scaling. In panel (a) data are shown at /δ = 0.3 or TBL1-4 (see Table I for line legend). In panel (b) spectra are shown for TBL4 at /δ = 0.15 (dots), 0.2 (dashes), 0.3 (solid), 0.5 (dash-dots), 0.7 (long dashes), and 0.9 (dash-dot-dot). The horizontal line in (a) is indicative of behavior.

Tables

Generic image for table
Table I.

Summary of parameters for DNS study. and are the streamwise and spanwise domain lengths, respectively. is the “incompressible” momentum thickness Reynolds number, defined in Eq. (2) . Grid spacings are given in wall units taken at for TBL1, for TBL2, for TBL3, and for TBL4.

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/content/aip/journal/pof2/25/2/10.1063/1.4792164
2013-02-25
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Probing high-Reynolds-number effects in numerical boundary layers
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/2/10.1063/1.4792164
10.1063/1.4792164
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