Influence of boundaries on pattern selection in through-flow

Details Influence of boundaries on pattern selection in through-flow Influence of boundaries on pattern selection in through-flow

1996-09-30

arxiv.org/abs/patt-sol/9610003v2

Nonlinear Sciences

Pattern Formation and Solitons

8 pages, 5 Postscript figures, Physica D 97, 253-263 (1996)

Scientific paper

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

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