| Issue |
Europhys. Lett.
Volume 53, Number 2, January 2001
|
|
|---|---|---|
| Page(s) | 202 - 208 | |
| Section | Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics | |
| DOI | https://doi.org/10.1209/epl/i2001-00137-2 | |
| Published online | 01 December 2003 | |
Nonlinear square patterns in Rayleigh-Bénard convection
Institut für Physik, Universität Potsdam -
Postfach 60 15 53, 14415 Potsdam, Germany
Received:
17
April
2000
Accepted:
8
November
2000
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.
PACS: 47.20.Ky – Nonlinearity (including bifurcation theory) / 47.20.Bp – Buoyancy-driven instability / 47.54.+r – Pattern selection; pattern formation
© EDP Sciences, 2001
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.