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Complex dynamics in double-diffusive convection

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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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Authors and Affiliations

  1. Departament de Física Aplicada, Universitat Politècnica de Catalunya, Doctor Marañón 44, 08028, Barcelona, Spain

    Esteban Meca & Laureano Ramírez-Piscina

  2. Departament de Física Aplicada, Universitat Politècnica de Catalunya, Jordi Girona 1–3, 08034, Barcelona, Spain

    Isabel Mercader & Oriol Batiste

Authors
  1. Esteban Meca
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  2. Isabel Mercader
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  3. Oriol Batiste
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  4. Laureano Ramírez-Piscina
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Correspondence to Isabel Mercader.

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Communicated by

H.J.S. Fernando

PACS

44.25.+f, 47.20.Bp, 05.45.-a

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Meca, E., Mercader, I., Batiste, O. et al. Complex dynamics in double-diffusive convection. Theor. Comput. Fluid Dyn. 18, 231–238 (2004). https://doi.org/10.1007/s00162-004-0129-1

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  • DOI: https://doi.org/10.1007/s00162-004-0129-1

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