Generalized quasilinear approximation of the interaction of convection and mean flows in a thermal annulus

Author:

Tobias S. M.1ORCID,Oishi J. S.2ORCID,Marston J. B.3ORCID

Affiliation:

1. Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK

2. Department of Physics, Bates College, Lewiston, ME 04240, USA

3. Department of Physics, Brown University, PO Box 1843, Providence, RI 02912-1843, USA

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.

Funder

H2020 European Research Council

National Science Foundation

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Generalized quasi-linear approximation and non-normality in Taylor–Couette spiral turbulence;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2023-01-30

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