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Nonlinear square patterns in Rayleigh-Benard convection

  • We numerically investigate nonlinear asymmetric square patterns in a horizontal convection layer with up-down reflection symmetry. As a novel feature we find the patterns to appear via the skewed varicose instability of rolls. The time-independent nonlinear state is generated by two unstable checkerboard (symmetric square) patterns and their nonlinear interaction. As the bouyancy forces increase the interacting modes give rise to bifurcations leading to a periodic alternation between a nonequilateral hexagonal pattern and the square pattern or to different kinds of standing oscillations.

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Author details:Ayhan Demircan, Norbert SeehaferORCiD
URL:http://www.edpsciences.com/articles/euro/full/2001/02/6376/6376.html
Publication type:Article
Language:English
Year of first publication:2001
Publication year:2001
Release date:2017/03/24
Source:Europhysics Letters. - 53 (2001), 2, S. 202 - 208
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Publishing method:Open Access
Institution name at the time of the publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik
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