On the self-sustained nature of large-scale motions in turbulent Couette flow
File(s)1509.04434v1.pdf (2.28 MB)
Accepted version
Author(s)
Rawat, S
Cossu, C
Hwang, Y
Rincon, F
Type
Journal Article
Abstract
© 2015 Cambridge University Press.Large-scale motions in wall-bounded turbulent flows are frequently interpreted as resulting from an aggregation process of smaller-scale structures. Here, we explore the alternative possibility that such large-scale motions are themselves self-sustained and do not draw their energy from smaller-scale turbulent motions activated in buffer layers. To this end, it is first shown that large-scale motions in turbulent Couette flow at ReD2150 self-sustain, even when active processes at smaller scales are artificially quenched by increasing the Smagorinsky constant Cs in large-eddy simulations (LES). These results are in agreement with earlier results on pressure-driven turbulent channel flows. We further investigate the nature of the large-scale coherent motions by computing upper- and lower-branch nonlinear steady solutions of the filtered (LES) equations with a Newton-Krylov solver, and find that they are connected by a saddle-node bifurcation at large values of Cs. Upper-branch solutions for the filtered large-scale motions are computed for Reynolds numbers up to Re D 2187 using specific paths in the Re-Cs parameter plane and compared to large-scale coherent motions. Continuation to Cs D 0 reveals that these large-scale steady solutions of the filtered equations are connected to the Nagata-Clever-Busse-Waleffe branch of steady solutions of the Navier-Stokes equations. In contrast, we find it impossible to connect the latter to buffer-layer motions through a continuation to higher Reynolds numbers in minimal flow units.
Date Issued
2015-10-09
Date Acceptance
2015-09-15
Citation
Journal of Fluid Mechanics, 2015, 782, pp.515-540
ISSN
1469-7645
Publisher
Cambridge University Press (CUP)
Start Page
515
End Page
540
Journal / Book Title
Journal of Fluid Mechanics
Volume
782
Copyright Statement
© 2015 Cambridge University Press. This paper has been accepted for publication and will appear in a revised form, subsequent to peer-review and/or editorial input by Cambridge University Press.
Subjects
Fluids & Plasmas
01 Mathematical Sciences
09 Engineering
Publication Status
Published