Beaume, C, Knobloch, E, Chini, GP et al. (1 more author) (2015) Exact coherent structures in an asymptotically reduced description of parallel shear flows. Fluid Dynamics Research, 47 (1). ARTN 015504. 015504-015504. ISSN 0169-5983
Abstract
A reduced description of shear flows motivated by the Reynolds number scaling of lower-branch exact coherent states in plane Couette flow (Wang J, Gibson J and Waleffe F 2007 Phys. Rev. Lett. 98 204501) is constructed. Exact time-independent nonlinear solutions of the reduced equations corresponding to both lower and upper branch states are found for a sinusoidal, body-forced shear flow. The lower branch solution is characterized by fluctuations that vary slowly along the critical layer while the upper branch solutions display a bimodal structure and are more strongly focused on the critical layer. The reduced equations provide a rational framework for investigations of subcritical spatiotemporal patterns in parallel shear flows.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2014, IOP Publishing. This is an author produced version of a paper published in Fluid Dynamics Research. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 10 Feb 2017 16:15 |
Last Modified: | 10 Feb 2017 16:15 |
Published Version: | https://dx.doi.org/10.1088/0169-5983/47/1/015504 |
Status: | Published |
Publisher: | IOP Publishing |
Identification Number: | 10.1088/0169-5983/47/1/015504 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:109052 |