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Homoclinic snaking of localized states in doubly diffusive convection

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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Official URL: http://dx.doi.org/10.1063/1.3626405


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
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)
Laboratory name:
Deposited On:06 Oct 2011 14:27

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