Magnetoconvection transient dynamics by numerical simulation

  • Sébastien Renaudière de Vaux
  • Rémi Zamansky
  • Wladimir Bergez
  • Philippe Tordjeman
  • Jean-François Haquet
Regular Article

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 103-106, 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 \(Ra/Ha^{2}\) 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.

Graphical abstract

Keywords

Flowing matter: Nonlinear Physics 

Supplementary material

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • Sébastien Renaudière de Vaux
    • 1
    • 2
  • Rémi Zamansky
    • 1
  • Wladimir Bergez
    • 1
  • Philippe Tordjeman
    • 1
  • Jean-François Haquet
    • 2
  1. 1.Institut de Mécanique des Fluides de Toulouse (IMFT)Université de Toulouse, CNRS-INPT-UPSToulouseFrance
  2. 2.CEA, DENCadarache, SMTA/LPMAPaul lez DuranceFrance

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