Book ChapterDOI
Transition to turbulence in Rayleigh-Beénard convection
Friedrich H. Busse
- Vol. 45, pp 97-137
About:
The article was published on 1981-01-01. It has received 98 citations till now. The article focuses on the topics: Rayleigh number & Rayleigh–Bénard convection.read more
Citations
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Journal ArticleDOI
A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit
TL;DR: A novel lattice Boltzmann thermal model is proposed for studying thermohydrodynamics in incompressible limit that can incorporate viscous heat dissipation and compression work done by the pressure, in contrast to the passive-scalar-based thermal latticeboltzmann models.
Journal ArticleDOI
High Rayleigh Number Convection
TL;DR: Turbulent convection exemplifies many of the startling aspects of turbulent flows that have been uncovered in the past two decades, but frequently exhibits a novel twist as discussed by the authors, as in the case of free shear flows, convection can organize into large-scale vortical structures, but these then react back in subtle ways on the boundary layers which ultimately sustain them.
Journal ArticleDOI
Robust heteroclinic cycles
TL;DR: In this paper, the authors review the theoretical and applied research on robust cycles and show that the existence of robust cycles has been proved in the unfolding of low codimension bifurcations and in the context of forced symmetry breaking from a larger to a smaller symmetry group.
Journal ArticleDOI
Order parameter equations for patterns
TL;DR: In this paper, a review deals with the class of problems into which these examples fall, namely with pattern formation in spatially extended, continuous, dissipative systems which are driven far from equilibrium by an external stress.
References
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Journal ArticleDOI
Deterministic nonperiodic flow
TL;DR: In this paper, it was shown that nonperiodic solutions are ordinarily unstable with respect to small modifications, so that slightly differing initial states can evolve into considerably different states, and systems with bounded solutions are shown to possess bounded numerical solutions.
Book
Buoyancy Effects in Fluids
TL;DR: In this article, the authors introduce linear internal waves and herar flows in a stratified fluid and double-diffusive convection in stably stratified fluids, and show that the shear flows can produce turbulence.
Journal ArticleDOI
On the nature of turbulence
David Ruelle,Floris Takens +1 more
TL;DR: A mechanism for the generation of turbulence and related phenomena in dissipative systems is proposed in this article, where the authors propose a mechanism for generating turbulence in a dissipative system with respect to dissipative energy.