Beaume, Cédric and Bergeon, Alain
and Knobloch, Edgar
Homoclinic snaking of localized states in doubly diffusive convection.
(2011)
Physics of Fluids, 23. ISSN 1070-6631
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(Document in English)
PDF (Author's version ) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 1MB |
Official URL: http://dx.doi.org/10.1063/1.3626405
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 \tau = 1/15 and Prandtl numbers Pr = 1 and Pr >> 1.
Item Type: | Article |
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HAL Id: | hal-03544526 |
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: | 06 Oct 2011 14:27 |
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