TY  - INPR
A1  - Scheel, Stefan
A1  - Seehafer, Norbert
T1  - Bifurcation to oscillations in three-dimensional Rayleigh-Bénard convection
N2  - 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.
T3  - NLD Preprints - 39 
Y1  - 2007
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/1332
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-14370
ER  -