A low-dimensional model predicting geometry-dependent dynamics of large-scale coherent structures in turbulence

Abstract

We test the ability of a general low-dimensional model for turbulence to predict geometry-dependent dynamics of large-scale coherent structures, such as convection rolls. The model consists of stochastic ordinary differential equations, which are derived as a function of boundary geometry from the Navier-Stokes equations (Brown and Ahlers 2008). We test the model using Rayleigh-Bénard convection experiments in a cubic container. The model predicts a new mode in which the alignment of a convection roll switches between diagonals. We observe this mode with a measured switching rate within 30% of the prediction.

5 pages, 5 figures

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Cited by in corpus (8)

• Koopman analysis of the long-term evolution in a turbulent convection cell
• Inclined turbulent thermal convection in liquid sodium
• Collapse of Coherent Large Scale Flow in Strongly Turbulent Liquid Metal Convection
• Transient flows and reorientations of large-scale convection in a cubic cell
• Low-dimensional model of the large-scale circulation of turbulent Rayleigh-B{é}nard convection in a cubic container
• Effects of tilt on the orientation dynamics of the large-scale circulation in turbulent Rayleigh-B{é}nard convection
• Collective variables between large-scale states in turbulent convection
• Oscillation in the temperature profile of the large-scale circulation of turbulent convection induced by a cubic container