Bifurcation to oscillations in three-dimensional Rayleigh-Bénard convection
- Three-dimensional bouyancy-driven convection in a horizontal fluid layer with stress-free boundary conditions at the top and bottom and periodic boundary conditions in the horizontal directions is investigated by means of numerical simulation and bifurcation-analysis techniques. The aspect ratio is fixed to a value of 2√2 and the Prandtl number to a value of 6.8. Two-dimensional convection rolls are found to be stable up to a Rayleigh number of 17 950, where a Hopf bifurcation leads to traveling waves. These are stable up to a Rayleigh number of 30 000, where a secondary Hopf bifurcation generates modulated traveling waves. We pay particular attention to the symmetries of the solutions and symmetry breaking by the bifurcations.
Author details: | Stefan Scheel, Norbert SeehaferORCiD |
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URN: | urn:nbn:de:kobv:517-opus-14370 |
Publication series (Volume number): | NLD Preprints (39) |
Publication type: | Preprint |
Language: | English |
Publication year: | 1997 |
Publishing institution: | Universität Potsdam |
Release date: | 2007/07/03 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
Zentrale und wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum für Dynamik komplexer Systeme | |
DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |