Symmetry breaking bifurcations in spherical Benard convection. Part I: Results from singularity theory

1995 ◽  
pp. 225-237
Author(s):  
C. Geiger ◽  
Gerhard Dangelmayr ◽  
John Rodriguez ◽  
Werner Guttinger
Keyword(s):  
Symmetry Breaking ◽  
Singularity Theory ◽  
Bénard Convection ◽  
Benard Convection

scholarly journals Homology and symmetry breaking in Rayleigh-Bénard convection: Experiments and simulations

2007 ◽  
Vol 19 (11) ◽  
pp. 117105 ◽  
Author(s):  
Kapilanjan Krishan ◽  
Huseyin Kurtuldu ◽  
Michael F. Schatz ◽  
Marcio Gameiro ◽  
Konstantin Mischaikow ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Bénard Convection ◽  
Benard Convection ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

THE 1:2 MODE INTERACTION IN RAYLEIGH–BÉNARD CONVECTION WITH WEAKLY BROKEN MIDPLANE SYMMETRY

2001 ◽  
Vol 11 (01) ◽  
pp. 27-41 ◽  
Author(s):  
ISABEL MERCADER ◽  
JOANA PRAT ◽  
EDGAR KNOBLOCH
Keyword(s):  
Steady State ◽  
Symmetry Breaking ◽  
Mode Interaction ◽  
Reflection Symmetry ◽  
Steady State Mode ◽  
Bénard Convection ◽  
Benard Convection ◽  
Prandtl Numbers ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

The effects of weak breaking of the midplane reflection symmetry on the 1:2 steady state mode interaction in Rayleigh–Bénard convection are discussed in a PDE setting. Effects of this type arise from the inclusion of non-Boussinesq terms or due to small differences in the boundary conditions at the top and bottom of the convecting layer. The latter provides the simplest realization, and captures all qualitative effects of such symmetry breaking. The analysis is performed for two Prandtl numbers, σ=10 and σ=0.1, representing behavior typical of large and low Prandtl numbers, respectively.

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