Abstract

Abstract

Highlights

  • Rayleigh–Bénard convection (RBC) occurs when fluid confined between horizontal plates is heated from below and cooled from above in a uniform manner

  • The canonical form of turbulent RBC is defined by a domain with a fixed height that extends infinitely in the horizontal directions, creating a flow field that is statistically homogenous in the horizontal direction

  • It has been shown that Γ > 1 turbulent RBC has dynamics that occur on much longer time scales and affects more spatial Fourier modes than RBC in a Γ = 1 cell

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Summary

Introduction

Rayleigh–Bénard convection (RBC) occurs when fluid confined between horizontal plates is heated from below and cooled from above in a uniform manner. Persistent structures whose horizontal length scales are several times larger than the height of the domain, which were recently termed as ‘superstructures’ While these studies provide a valuable insight into statistical properties of the superstructures, the analysis in these papers was largely concerned with the temporally averaged flow fields, filtering out the temporal dynamics of the structures. While the effect of the boundary conditions is present in this study, some of the features of the large-scale mode organization and dynamics that we observe resonate remarkably well with both the time scales (Pandey et al 2018) and the statistical properties (Krug et al 2019) of the superstructures found in larger aspect-ratio domains.

Problem formulation and numerical method
Equations, computational domain and scaling
Numerical method
Fourier decomposition
The mean field
Global description of the large-scale structure
Temporal evolution of the flow field
Integral time scale
Effects of the spatial inhomogeneity
Spatial variability of the integral time scales
Statistics of the Fourier modes and their spatial variability
Variations in radial location
Variations in vertical location
Findings
Discussion and conclusions

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