Stability of non-Boussinesq convection via the complex Ginzburg-Landau model

Article

Suslov, Sergey A. and Paolucci, Samuel. 2004. "Stability of non-Boussinesq convection via the complex Ginzburg-Landau model." Fluid Dynamics Research. 35 (3), pp. 159-203. https://doi.org/10.1016/j.fluiddyn.2004.06.002
Article Title

Stability of non-Boussinesq convection via the complex Ginzburg-Landau model

ERA Journal ID3741
Article CategoryArticle
AuthorsSuslov, Sergey A. (Author) and Paolucci, Samuel (Author)
Journal TitleFluid Dynamics Research
Journal Citation35 (3), pp. 159-203
Number of Pages45
Year2004
Place of PublicationAmsterdam, Netherlands
ISSN0169-5983
1873-7005
Digital Object Identifier (DOI)https://doi.org/10.1016/j.fluiddyn.2004.06.002
Web Address (URL)http://www.sciencedirect.com/science/journal/01695983
Abstract

[Abstract]: A cubic complex Ginzburg-Landau model is derived for the flow of a general fluid near a bifurcation point.
Solutions are obtained for the natural convection flow of air in a differentially heated tall closed cavity under non-Boussinesq conditions.
The model is used to analyse various types of instabilities.
In particular, it is found that nonlinear fluid properties variations with temperature lead to a convective instability of the flow when the temperature difference becomes sufficiently large.
This is in contrast to classical results in the Boussinesq limit where the instability is found to be always absolute.
The results obtained using the model for an infinitely tall cavity are in excellent agreement with those of direct numerical simulations for a cavity of aspect ratio 40.

Keywordsnon-Boussinesq convection; weakly nonlinear stability theory; Ginzburg-Landau model
ANZSRC Field of Research 2020490399. Numerical and computational mathematics not elsewhere classified
490199. Applied mathematics not elsewhere classified
340799. Theoretical and computational chemistry not elsewhere classified
Public Notes

File reproduced in accordance with the copyright policy of the publisher/author.

Byline AffiliationsComputational Engineering and Science Research Centre
University of Notre Dame, United States
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