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Magnetoconvection transient dynamics by numerical simulation

Renaudière de Vaux, Sébastien and Zamansky, Rémi and Bergez, Wladimir and Tordjeman, Philippe and Haquet, Jean-François Magnetoconvection transient dynamics by numerical simulation. (2017) The European Physical Journal E - Soft Matter, 40 (13). 1-11. ISSN 1292-8941

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Official URL: http://dx.doi.org/10.1140/epje/i2017-11499-2

Abstract

We investigate the transient and stationary buoyant motion of the Rayleigh-Bénard instability when the fluid layer is subjected to a vertical, steady magnetic field. For Rayleigh number, Ra, in the range 10^3-10^6, and Hartmann number, Ha, between 0 and 100, we performed three-dimensional direct numerical simulations. To predict the growth rate and the wavelength of the initial regime observed with the numerical simulations, we developed the linear stability analysis beyond marginal stability for this problem. We analyzed the pattern of the flow from linear to nonlinear regime. We observe the evolution of steady state patterns depending on Ra/Ha2 and Ha. In addition, in the nonlinear regime, the averaged kinetic energy is found to depend on Ra and to be independent of Ha in the studied range.

Item Type:Article
Additional Information:Thanks to Srpinger editor. The original PDF of the article can be found at: https://link.springer.com/article/10.1140/epje/i2017-11499-2
HAL Id:hal-01643599
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Commissariat à l'Energie Atomique et aux énergies alternatives - CEA (FRANCE)
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)
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Funders:
CEA
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Deposited By: Sebastien RENAUDIERE DE VAUX
Deposited On:02 Oct 2017 10:35

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