2009/10/09 by Supriyo Paul, Paul, Supriyo, Pankaj Wahi +3
Earth and Planetary Sciences · Engineering · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Nanofluid Flow and Heat Transfer
paper · pdf · doi:10.48550/arxiv.0910.1747
openalex publication_date 2009/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A low-dimensional model of large Prandtl-number (P) Rayleigh Bénard convection is constructed using some of the important modes of pseudospectral direct numerical simulations. A detailed bifurcation analysis of the low-dimensional model for P=6.8 and aspect ratio of 2√(2) reveals a rich instability and chaos picture: steady rolls, time-periodicity, quasiperiodicity, phase locking, chaos, and crisis. Bifurcation analysis also reveals multiple co-existing attractors, and a window with time-periodicity after chaos. The results of the low-dimensional model matches quite closely with some of the past simulations and experimental results where they observe chaos in RBC through quasiperiodicity and phase locking.