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López-Alonso, José Manuel Marqués, Francisco Ávila, Marc 2024-09-27T06:42:50Z 2024-09-27T06:42:50Z 2013-11-15 Lopez JM, Marques F, Avila M. The Boussinesq approximation in rapidly rotating flows. Journal of Fluid Mechanics. 2013;737:56-77. doi:10.1017/jfm.2013.558 https://hdl.handle.net/10630/33552 10.1017/jfm.2013.558 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. eng open access Flujos (Sistemas dinámicos diferenciables) The Boussinesq approximation in rapidly rotating flows journal article