Beaume, C, Bergeon, A and Knobloch, E (2013) Convectons and secondary snaking in three-dimensional natural doubly diffusive convection. Physics of Fluids, 25 (2). ARTN 024105. ISSN 1070-6631
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2013 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in AIP Physics of Fluids and may be found at https://doi.org/10.1063/1.4792711. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 09 Apr 2019 14:33 |
Last Modified: | 09 Apr 2019 14:33 |
Status: | Published |
Publisher: | AIP Publishing |
Identification Number: | 10.1063/1.4792711 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:109059 |