The Boussinesq approximation in rapidly rotating flows

Language
en
Document Type
Article
Issue Date
2015-07-13
Issue Year
2013
Authors
Lopez, Jose M.
Marques, Francisco
Avila, Marc
Editor
Abstract

In commonly used formulations of the Boussinesq approximation centrifugal buoyancy effects related to differential rotation, as well as strong vortices in the flow, are neglected. However, these may play an important role in rapidly rotating flows, such as in astrophysical and geophysical applications, and also in turbulent convection. Here we provide a straightforward approach resulting in a Boussinesq-type approximation that consistently accounts for centrifugal effects. Its application to the accretion-disc problem is discussed. We numerically compare the new approach to the typical one in fluid flows confined between two differentially heated and rotating cylinders. The results justify the need of using the proposed approximation in rapidly rotating flows.

Journal Title
Journal of Fluid Mechanics
Volume
737
Citation
Journal of Fluid Mechanics 737 (2013):S. 56-77. <http://dx.doi.org/10.1017/jfm.2013.558>
DOI
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