Onset of Küppers – Lortz-like dynamics in finite rotating thermal convection

Content Provider	Semantic Scholar
Author	Rubio, Angel López, Juan M. Marqués, Francisco
Copyright Year	2009
Abstract	The onset of thermal convection in a finite rotating cylinder is investigated using direct numerical simulations of the Navier–Stokes equations with the Boussinesq approximation in a regime in which spatio-temporal complexity is observed directly after onset. The system is examined in the non-physical limit of zero centrifugal force as well as with an experimentally realizable centrifugal force, leading to two different paths to Küppers–Lortz-like spatio-temporal chaos. In the idealized case, neglecting centrifugal force, the onset of convection occurs directly from a conduction state, resulting in square patterns with slow roll switching, followed at higher thermal driving by straight roll patterns with faster roll switching. The case with a centrifugal force typical of laboratory experiments exhibits target patterns near the theoretically predicted onset of convection, followed by a rotating wave that emerges via a Hopf bifurcation. A subsequent Hopf bifurcation leads to ratcheting states with sixfold symmetry near the axis. With increasing thermal driving, roll switching is observed within the ratcheting lattice before Küppers–Lortz-like spatio-temporal chaos is observed with the dissolution of the lattice at a slightly stronger thermal driving. For both cases, all of these states are observed within a 2 % variation in the thermal driving.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://math.la.asu.edu/~lopez/pdf/jfm_RLM10_kl.pdf
Alternate Webpage(s)	https://math.la.asu.edu/~lopez/pdf/jfm_RLM10_kl.pdf
Language	English
Access Restriction	Open
Subject Keyword	Anatomic bifurcation Approximation Arabic numeral 0 Bifurcation theory Centrifugal governor Chaos theory Convection Cylinder seal Exhibits as Topic Experiment Genus Axis Hopf bifurcation Navier–Stokes equations Numerical analysis Onset (audio) Optic axis of a crystal Simulation
Content Type	Text
Resource Type	Article