dorsal/arxiv
View SchemaInfluence of boundaries on pattern selection in through-flow
| Authors | D. Roth, P. Buechel, M. Luecke, H. W. Mueller, M. Kamps, R. Schmitz |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9610003 |
| URL | https://arxiv.org/abs/patt-sol/9610003 |
| DOI | 10.1016/0167-2789(96)00081-4 |
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
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"abstract": "The problem of pattern selection in absolutely unstable open flow systems is\ninvestigated by considering the example of Rayleigh-B\\\u0027{e}nard convection. The\nspatiotemporal structure of convection rolls propagating downstream in an\nexternally imposed flow is determined for six different inlet/outlet boundary\nconditions. Results are obtained by numerical simulations of the Navier-Stokes\nequations and by comparison with the corresponding Ginzburg-Landau amplitude\nequation. A unique selection process is observed being a function of the\ncontrol parameters and the boundary conditions but independent of the history\nand the system length. The problem can be formulated in terms of a nonlinear\neigen/boundary value problem where the frequency of the propagating pattern is\nthe eigenvalue. PACS: 47.54.+r, 47.20.Bp, 47.27.Te, 47.20.Ky",
"arxiv_id": "patt-sol/9610003",
"authors": [
"D. Roth",
"P. Buechel",
"M. Luecke",
"H. W. Mueller",
"M. Kamps",
"R. Schmitz"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/0167-2789(96)00081-4",
"title": "Influence of boundaries on pattern selection in through-flow",
"url": "https://arxiv.org/abs/patt-sol/9610003"
},
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