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Localized rotating convection with no-slip boundary conditions

Beaume, Cédric and Kao, Hsien-Ching and Knobloch, Edgar and Bergeon, Alain Localized rotating convection with no-slip boundary conditions. (2013) Physics of Fluids, 25 (12). 124105-1. ISSN 1070-6631

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Official URL: http://dx.doi.org/10.1063/1.4843155

Abstract

Localized patches of stationary convection embedded in a background conduction state are called convectons. Multiple states of this type have recently been found in two-dimensional Boussinesq convection in a horizontal fluid layer with stress-free boundary conditions at top and bottom, and rotating about the vertical. The convectons differ in their lengths and in the strength of the self-generated shear within which they are embedded, and exhibit slanted snaking. We use homotopic continuation of the boundary conditions to show that similar structures exist in the presence of no-slip boundary conditions at the top and bottom of the layer and show that such structures exhibit standard snaking. The homotopic continuation allows us to study the transformation from slanted snaking characteristic of systems with a conserved quantity, here the zonal momentum, to standard snaking characteristic of systems with no conserved quantity.

Item Type:Article
Additional Information:Thanks to American Institute of Physics editor. The definitive version is available at http://scitation.aip.org The original PDF of the article can be found at Physics of Fluids website : http://dx.doi.org/10.1063/1.4843155
HAL Id:hal-00965835
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > University of California - UC Berkeley (USA)
Laboratory name:
Funders:
National Science Foundation (NSF) under Grant No. DMS- 1211953. E.K.
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Deposited On:10 Jan 2014 12:30

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