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Convectons and secondary snaking in three-dimensional natural doubly diffusive convection

Beaume, Cédric and Bergeon, Alain and Knobloch, Edgar Convectons and secondary snaking in three-dimensional natural doubly diffusive convection. (2013) Physics of Fluids, 25 (2). 1-15. ISSN 1070-6631

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Official URL: http://dx.doi.org/10.1063/1.4792711

Abstract

Natural doubly diffusive convection in a three-dimensional vertical enclosure with square cross-section in the horizontal is studied. Convection is driven by imposed temperature and concentration differences between two opposite vertical walls. These are chosen such that a pure conduction state exists. No-flux boundary conditions are imposed on the remaining four walls, with no-slip boundary conditions on all six walls. Numerical continuation is used to compute branches of spatially localized convection. Such states are referred to as convectons. Two branches of three-dimensional convectons with full symmetry bifurcate simultaneously from the conduction state and undergo homoclinic snaking. Secondary bifurcations on the primary snaking branches generate secondary snaking branches of convectons with reduced symmetry. The results are complemented with direct numerical simulations of the three-dimensional equations.

Item Type:Article
Additional Information:Thanks to AIP editor. The definitive version is available at http://scitation.aip.org The original PDF can be found at Physics of Fluids website: http://scitation.aip.org/content/aip/journal/pof2/25/2/10.1063/1.4792711
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)
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Deposited On:17 Oct 2013 12:00

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