Tobias, SM, Oishi, J and Marston, JB (2018) Generalised Quasilinear Approximation of the Interaction of Convection and Mean Flows in a Thermal Annulus. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474 (2219). ISSN 1364-5021
Abstract
In this paper, we examine the interaction of convection, rotation and mean flows in a thermal annulus. In this system, mean flows are driven by correlations induced by rotation leading to non-trivial Reynolds stresses. The mean flows act back on the convective turbulence acting as a barrier to transport. For this system, we demonstrate that the generalized quasilinear approximation (Marston et al. 2016 Phys. Rev. Lett.116, 214501. (doi:10.1103/PhysRevLett.116.214501)) may provide a much better approximation to the complicated full nonlinear dynamics than the widely used quasilinear approximation. This result will enable the construction of more accurate statistical theories for the description of geophysical and astrophysical flows.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 The Author(s). This is an author produced version of a paper published in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | fluids mechanics, convection, zonal flow, |
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: | 23 Oct 2018 10:08 |
Last Modified: | 17 Jan 2019 11:02 |
Status: | Published |
Publisher: | The Royal Society |
Identification Number: | 10.1098/rspa.2018.0422 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:137507 |