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Localized traveling pulses in natural doubly diffusive convection

Lo Jacono, David and Bergeon, Alain and Knobloch, Edgar Localized traveling pulses in natural doubly diffusive convection. (2017) Physical Review Fluid, 2 (9). 093501. ISSN 2469-990X

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Official URL: http://dx.doi.org/10.1103/PhysRevFluids.2.093501

Abstract

Two-dimensional natural doubly diffusive convection in a vertical slot driven by an imposed temperature difference in the horizontal is studied using numerical continuation and direct numerical simulation. Two cases are considered and compared. In the first a concentration difference that balances thermal buoyancy is imposed in the horizontal and stationary localized structures are found to be organized in a standard snakes-and-ladders bifurcation diagram. Disconnected branches of traveling pulses TPn consisting of n, n = 1,2, . . . , corotating cells are identified and shown to accumulate on a tertiary branch of traveling waves. With Robin or mixed concentration boundary conditions on one wall all localized states travel and the hitherto stationary localized states may connect up with the traveling pulses. The stability of the TPn states is determined and unstable TPn shown to evolve into spatio-temporal chaos. The calculations are done with no-slip boundary conditions in the horizontal and periodic boundary conditions in the vertical.

Item Type:Article
Additional Information:Thanks to American Physical Society editor. The definitive version is available at https://journals.aps.org/ The original PDF of the article can be found at https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.2.093501
HAL Id:hal-01619713
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 - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Other partners > University of California - UC Berkeley (USA)
Laboratory name:
Funders:
National Science Foundation
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Deposited By: David LO JACONO
Deposited On:19 Oct 2017 13:58

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