Influence of boundaries on pattern selection in through-flow
Abstract
The problem of pattern selection in absolutely unstable open flow systems is investigated by considering the example of Rayleigh-B\'{e}nard convection. The spatiotemporal structure of convection rolls propagating downstream in an externally imposed flow is determined for six different inlet/outlet boundary conditions. Results are obtained by numerical simulations of the Navier-Stokes equations and by comparison with the corresponding Ginzburg-Landau amplitude equation. A unique selection process is observed being a function of the control parameters and the boundary conditions but independent of the history and the system length. The problem can be formulated in terms of a nonlinear eigen/boundary value problem where the frequency of the propagating pattern is the eigenvalue. PACS: 47.54.+r, 47.20.Bp, 47.27.Te, 47.20.Ky
Cite
@article{arxiv.patt-sol/9610003,
title = {Influence of boundaries on pattern selection in through-flow},
author = {D. Roth and P. Buechel and M. Luecke and H. W. Mueller and M. Kamps and R. Schmitz},
journal= {arXiv preprint arXiv:patt-sol/9610003},
year = {2015}
}
Comments
8 pages, 5 Postscript figures, Physica D 97, 253-263 (1996)