Order and chaos in two-dimensional Rayleigh-B\'enard convection
Abstract
A detailed study of the Rayleigh-B\'enard convection in two-dimensions with free-slip boundaries is presented. Pseudo-spectral method has been used to numerically solve the system for Rayleigh number up to . The system exhibits various convective states: stationary, oscillatory, chaotic and soft-turbulent. The `travelling rolls' instability is observed in the chaotic regime. Scaling of Nusselt number shows an exponent close to 0.33. Studies on energy spectrum and flux show an inverse cascade of kinetic energy and a forward cascade of entropy. This is consistent with the shell-to-shell energy transfer in wave number space. The shell-to-shell energy transfer study also indicates a local energy transfer from one shell to the other.
Keywords
Cite
@article{arxiv.0904.2917,
title = {Order and chaos in two-dimensional Rayleigh-B\'enard convection},
author = {Supriyo Paul and Pankaj K. Mishra and Mahendra K. Verma and Krishna Kumar},
journal= {arXiv preprint arXiv:0904.2917},
year = {2009}
}
Comments
26 pages, 10 figures