Journal of Fluid Mechanics

Papers

Magnetohydrodynamic convectons

David Lo Jaconoa1a2 c1, Alain Bergeona1a2 and Edgar Knoblocha3

a1 Université de Toulouse; INPT, UPS; IMFT (Institut de Mécanique des Fluides de Toulouse), Allée Camille Soula, F-31400 Toulouse, France

a2 CNRS; IMFT; F-31400 Toulouse, France

a3 Department of Physics, University of California, Berkeley CA 94720, USA

Abstract

Numerical continuation is used to compute branches of spatially localized structures in convection in an imposed vertical magnetic field. In periodic domains with finite spatial period, these branches exhibit slanted snaking and consist of localized states of even and odd parity. The properties of these states are analysed and related to existing asymptotic approaches valid either at small amplitude (Cox and Matthews, Physica D, vol. 149, 2001, p. 210), or in the limit of small magnetic diffusivity (Dawes, J. Fluid Mech., vol. 570, 2007, p. 385). The transition to standard snaking with increasing domain size is explored.

(Received April 12 2011)

(Reviewed September 08 2011)

(Accepted September 19 2011)

Key Words:

  • bifurcation;
  • magneto convection;
  • pattern formation

Correspondence:

c1 Email address for correspondence: david.lojacono@imft.fr

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