Beaume, C, Bergeon, A and Knobloch, E (2011) Homoclinic snaking of localized states in doubly diffusive convection. Physics of Fluids, 23 (9). 094102. ISSN 1070-6631
Abstract
Numerical continuation is used to investigate stationary spatially localized states in two-dimensional thermosolutal convection in a plane horizontal layer with no-slip boundary conditions at top and bottom. Convectons in the form of 1-pulse and 2-pulse states of both odd and even parity exhibit homoclinic snaking in a common Rayleigh number regime. In contrast to similar states in binary fluid convection, odd parity convectons do not pump concentration horizontally. Stable but time-dependent localized structures are present for Rayleigh numbers below the snaking region for stationary convectons. The computations are carried out for (inverse) Lewis number τ = 1/15 and Prandtl numbers Pr = 1 and Pr≫1.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2011 American Institute of Physics. Reproduced in accordance with the publisher's self-archiving policy. |
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: | 08 Sep 2017 12:24 |
Last Modified: | 08 Sep 2017 12:24 |
Status: | Published |
Publisher: | AIP Publishing |
Identification Number: | 10.1063/1.3626405 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:109060 |