Electronic Resource
New York, NY
:
American Institute of Physics (AIP)
Physics of Fluids
4 (1992), S. 2382-2393
ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
Numerical simulations show that the diagonal oscillation, previously observed in Bénard convection experiments in Hele–Shaw slots, arises from an internal layer instability; an internal stagnation point is essential to the oscillation mechanism. This is contrasted with the more classical oscillation arising from a convected boundary-layer instability. From a dynamical systems viewpoint, the diagonal oscillation occurs in its purest form as a simultaneous temporal and spatial symmetry breaking (a Takens–Bogdanov bifurcation). Continuation methods yield the relevant bifurcation diagrams and show that the existence of the diagonal oscillation is robust with respect to modifications of the boundary conditions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.858479
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