Tobias, SM and Marston, JB (2017) Direct Statistical Simulation of Jets and Vortices in 2D Flows. Physics of Fluids, 29 (11). 111111. ISSN 1070-6631
Abstract
In this paper we perform Direct Statistical Simulations of a model of two-dimensional flow that exhibits a transition from jets to vortices. The model employs two-scale Kolmogorov forcing, with energy injected directly into the zonal mean of the flow. We compare these results with those from Direct Numerical Simulations. For square domains the solution takes the form of jets, but as the aspect ratio is increased a transition to isolated coherent vortices is found. We find that a truncation at second order in the equal-time but nonlocal cumulants that employs zonal averaging (zonal CE2) is capable of capturing the form of the jets for a range of Reynolds numbers as well as the transition to the vortex state, but, unsurprisingly, is unable to reproduce the correlations found for the fully nonlinear (non-zonally symmetric) vortex state. This result continues the program of promising advances in statistical theories of turbulence championed by Kraichnan.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 AIP Publishing LLC. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | two-dimensional turbulence, coherent structures, statistical theories |
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: | 18 Sep 2017 10:13 |
Last Modified: | 08 Oct 2018 16:35 |
Status: | Published |
Publisher: | AIP Publishing |
Identification Number: | 10.1063/1.5004683 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:121266 |