Abstract
AbstractWe analyze large‐scale patterns in three‐dimensional turbulent convection in a horizontally extended square convection cell by means of Lagrangian particle trajectories calculated in direct numerical simulations. Different Lagrangian computational methods, i.e. finite‐time Lyapunov exponents, spectral and density‐based clustering and transfer operator approaches, are used to detect these large‐scale structures, which are denoted as turbulent superstructures of convection.
Highlights
We consider turbulent Rayleigh-Bénard convection at a Prandtl number P r = 0.7 and a Rayleigh number Ra = 105 in the three-dimensional domain [−8, 8]2 × [0, 1] as discussed in [1]
Different Lagrangian computational methods, i.e. finite-time Lyapunov exponents, spectral and density-based clustering and transfer operator approaches, are used to detect these large-scale structures, which are denoted as turbulent superstructures of convection
In order to consider the Lagrangian perspective, tracer particles are seeded into the simulation domain on a regular mesh with N = 5122 points at a plane close to the bottom plate, well inside the thermal boundary layer
Summary
Lagrangian perspectives on turbulent superstructures in Rayleigh-Bénard convection Different Lagrangian computational methods, i.e. finite-time Lyapunov exponents, spectral and density-based clustering and transfer operator approaches, are used to detect these large-scale structures, which are denoted as turbulent superstructures of convection. The particle trajectories are analyzed by means of different computational methods with respect to coherent flow behavior as described 2.
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