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Nonsnaking doubly diffusive convectons and the twist instability

Beaume, Cédric and Knobloch, Edgar and Bergeon, Alain Nonsnaking doubly diffusive convectons and the twist instability. (2013) Physics of Fluids, 25. 1-13. ISSN 1070-6631

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Official URL: http://dx.doi.org/10.1063/1.4826978

Abstract

Doubly diffusive convection in a three-dimensional horizontally extended domain with a square cross section in the vertical is considered. The fluid motion is driven by horizontal temperature and concentration differences in the transverse direction. When the buoyancy ratio N = -1 and the Rayleigh number is increased the conduction state loses stability to a subcritical, almost two-dimensional roll structure localized in the longitudinal direction. This structure exhibits abrupt growth in length near a particular value of the Rayleigh number but does not snake. Prior to this filling transition the structure becomes unstable to a secondary twist instability generating a pair of stationary, spatially localized zigzag states. In contrast to the primary branch these states snake as they grow in extent and eventually fill the whole domain. The origin of the twist instability and the properties of the resulting localized structures are investigated for both periodic and no-slip boundary conditions in the extended direction.

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/pof2/25/11/10.1063/1.4826978
HAL Id:hal-00881127
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:07 Nov 2013 14:30

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