Dynamics of zero-Prandtl number convection near the onset

Details Dynamics of zero-Prandtl number convection near the onset Dynamics of zero-Prandtl number convection near the onset

2010-08-04

arxiv.org/abs/1008.0752v1

Physics

Fluid Dynamics

34 pages, 17 figures

Scientific paper

In this paper we present various convective states of zero-Prandtl number Rayleigh-B\'enard convection using direct numerical simulations (DNS) and a 27-mode low-dimensional model containing the energetic modes of DNS. The origin of these convective states have been explained using bifurcation analysis. The system is chaotic at the onset itself with three coexisting chaotic attractors that are born at two codimension-2 bifurcation points. One of the bifurcation points with a single zero eigenvalue and a complex pair $(0,\pm i \omega)$ generates chaotic attractors and associated periodic, quasiperiodic, and phase-locked states that are related to the wavy rolls observed in experiments and simulations. The frequency of the wavy rolls are in general agreement with $\omega$ of the above eigenvalue of the stability matrix. The other bifurcation point with a double zero eigenvalue produces the other set of chaotic attractors and ordered states such as squares, asymmetric squares, oscillating asymmetric squares, relaxation oscillations with intermediate squares, some of which are common to the 13-mode model of Pal et al.(2009).

Affiliated with

Also associated with

No associations

Rating

Dynamics of zero-Prandtl number convection near the onset does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamics of zero-Prandtl number convection near the onset, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of zero-Prandtl number convection near the onset will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-82589