Chaos and information in two-dimensional turbulence
Daniel Clark, Lukas Tarra, Arjun Berera
Abstract
Using fully resolved direct numerical simulations of two-dimensional homogeneous and isotropic turbulence, the Kolmogorov-Sinai entropy and attractor dimension are measured across a wide range of Reynolds numbers. In contrast with the three-dimensional case, these quantities are dependent on the system size and forcing length scale, providing further evidence of nonuniversality in two-dimensional turbulence.
Topics & Concepts
AttractorTurbulenceStatistical physicsHomogeneous isotropic turbulenceIsotropyHomogeneousPhysicsForcing (mathematics)Entropy (arrow of time)Dimension (graph theory)Reynolds numberMathematicsDirect numerical simulationClassical mechanicsCHAOS (operating system)Mathematical analysisRange (aeronautics)MechanicsRössler attractorCorrelation dimensionContrast (vision)Reynolds stress equation modelTurbulence kinetic energyK-epsilon turbulence modelAdvanced Thermodynamics and Statistical MechanicsFluid Dynamics and Turbulent FlowsStatistical Mechanics and Entropy