Numerical study of pattern formation following a convective instability in non-Boussinesq fluids
Condensed Matter
2009-10-22 v1
Abstract
We present a numerical study of a model of pattern formation following a convective instability in a non-Boussinesq fluid. It is shown that many of the features observed in convection experiments conducted on gas can be reproduced by using a generalized two-dimensional Swift-Hohenberg equation. The formation of hexagonal patterns, rolls and spirals is studied, as well as the transitions and competition among them. We also study nucleation and growth of hexagonal patterns and find that the front velocity in this two dimensional model is consistent with the prediction of marginal stability theory for one dimensional fronts.
Keywords
Cite
@article{arxiv.cond-mat/9207011,
title = {Numerical study of pattern formation following a convective instability in non-Boussinesq fluids},
author = {Hao-wen Xi and Jorge Vinals and J. D. Gunton},
journal= {arXiv preprint arXiv:cond-mat/9207011},
year = {2009}
}
Comments
9 pages, report FSU-SCRI-92-66