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Comparison of very-large-scale motions of turbulent pipe and boundary layer simulations
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10.1063/1.4802048
/content/aip/journal/pof2/25/4/10.1063/1.4802048
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/4/10.1063/1.4802048

Figures

Image of FIG. 1.
FIG. 1.

Mean velocity profiles in (a) inner and (b) outer coordinates. Solid line: present DNS; dashed line: Wu at = 24 580; dotted line: Wu and Moin at = 44 000; circles: TBL data, Schlatter and Örlü at = 3030.

Image of FIG. 2.
FIG. 2.

(a)–(d) Turbulence intensities and Reynolds shear stress along the outer coordinates. The legend is the same as in Fig. 1 .

Image of FIG. 3.
FIG. 3.

Very-large-scale low-momentum regions with 2D signed swirling strengths ( = / |) and second-quadrant Reynolds shear stress (Q2 event). (a) / = 0.15, (b) / = 0.3, and (c) / = 0.5. Blue and red contours indicate the positive and negative values of with magnitudes of 30% of the maximum and minimum values. The luminous contours indicate a Q2 event with magnitude − . The flow is from left to right.

Image of FIG. 4.
FIG. 4.

Very-large-scale high-momentum regions with 2D signed swirling strengths ( = / |) and fourth-quadrant Reynolds shear stress (Q4 event). (a) / = 0.15, (b) / = 0.3, and (c) / = 0.5. Blue and red contours indicate the positive and negative values of with a magnitude of 30% of the maximum and minimum values. The luminous contours indicate a Q4 event with magnitude − .

Image of FIG. 5.
FIG. 5.

Intermittency coefficient in the boundary layer flow.

Image of FIG. 6.
FIG. 6.

Contour of the vorticity magnitude || in the (a) boundary layer and (b) pipe flows. The contour level employed here is || = |/ = 0.0165.

Image of FIG. 7.
FIG. 7.

Probability density functions of the wall-normal vorticity fluctuations / . The black solid, dashed, and dotted lines depict the present pipe data at / = 0.15, 0.3, and 0.5, and the circles, squares, and triangles indicate the TBL data of Lee and Sung at the same wall-normal heights, respectively.

Image of FIG. 8.
FIG. 8.

The probability density functions for the (a) Q2 and (b) Q4 Reynolds shear stresses normalized by the friction velocity. The legend is the same as in Fig. 7 .

Image of FIG. 9.
FIG. 9.

Spatial correlations of the streamwise velocity fluctuations in the streamwise/spanwise planes at several wall-normal heights: (a) / = 0.1, (b) / = 0.2, (c) / = 0.3, (d) / = 0.4, (e) / = 0.5, (f) / = 0.6, (g) / = 0.7, and (h) / = 0.8. The contour levels were varied from 0.1 to 1.0 with a negative value of −0.05.

Image of FIG. 10.
FIG. 10.

Spatial correlations among the streamwise velocity fluctuations in the spanwise/wall-normal plane in the turbulent pipe flow: (a) / = 0.1, (b) / = 0.2, (c) / = 0.3, (d) / = 0.4, (e) / = 0.5, (f) / = 0.6, (g) / = 0.7, and (h) / = 0.8. The contour levels are the same as those described in Fig. 9 .

Image of FIG. 11.
FIG. 11.

(a) Streamwise line plot of at / = 0.15 with / = 0 and (b) variation of the characteristic streamwise length scale based on the range of streamwise displacement where > 0.05.

Image of FIG. 12.
FIG. 12.

(a) Spanwise line plot of at / = 0.15 with / = 0 and (b) variation of the characteristic spanwise length scale based on the range of spanwise displacement where > 0.05.

Image of FIG. 13.
FIG. 13.

Conditional two-point correlations of the streamwise velocity fluctuations at / = 0.1, 0.3, 0.5, and 0.7 (top to bottom) for the pipe flow. (a) > 0 and (b) < 0. The contour levels are varied from 0.3 to 1.0 with interval of 0.1.

Image of FIG. 14.
FIG. 14.

Variations in the characteristic (a) streamwise and (b) spanwise length scales based on the range of streamwise and spanwise displacements where > 0.3. Open and closed circles indicate the data of conditioned events > 0 and < 0, respectively. For reference, the data from the two-point correlation by the definition in (5.1) is indicated by solid line.

Image of FIG. 15.
FIG. 15.

Comparison of the population trends for (a) the streamwise length and (b) the spanwise width in the pipe and boundary layer flows in the logarithmic layer. The conditional events were the negative streamwise fluctuations ( < 0).

Image of FIG. 16.
FIG. 16.

Contribution to the total second-quadrant Reynolds shear stress identified by the feature extraction algorithm as a function of the length for both the pipe and boundary layer flows in the logarithmic layer. The length is normalized by the outer unit.

Tables

Generic image for table
Table I.

Domain size and mesh resolution.

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/content/aip/journal/pof2/25/4/10.1063/1.4802048
2013-04-29
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Comparison of very-large-scale motions of turbulent pipe and boundary layer simulations
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/4/10.1063/1.4802048
10.1063/1.4802048
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