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Complex dynamics in double-diffusive convection

Esteban Meca, Isabel Mercader, Oriol Batiste, Laureano Ramírez-Piscina

physics.flu-dynarXiv:physics/0411083

Abstract

The dynamics of a small Prandtl number binary mixture in a laterally heated cavity is studied numerically. By combining temporal integration, steady state solving and linear stability analysis of the full PDE equations, we have been able to locate and characterize a codimension-three degenerate Takens-Bogdanov point whose unfolding describes the dynamics of the system for a certain range of Rayleigh numbers and separation ratios near S=-1.

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