Multi-time structure functions and the Lagrangian scaling of turbulence
arXiv:2201.05251 · doi:10.1103/PhysRevFluids.7.064603
Abstract
We define and characterize multi-time Lagrangian structure functions using data stemming from two swirling flows with mean flow and turbulent fluctuations: A Taylor-Green numerical flow, and a von Kármán laboratory experiment. Data is obtained from numerical integration of tracers in the former case, and from three-dimensional particle tracking velocimetry measurements in the latter. Multi-time statistics are shown to decrease the contamination of large scales in the inertial range scaling. A time scale at which contamination from the mean flow becomes dominant is identified, with this scale separating two different Lagrangian scaling ranges. The results from the multi-time structure functions also indicate that Lagrangian intermittency is not a result of large-scale flow effects. The multi-time Lagrangian structure functions can be used without prior knowledge of the forcing mechanisms or boundary conditions, allowing their application in different flow geometries.
References in corpus (24)
- Measurement of Lagrangian velocity in fully developed turbulence
- Anisotropy in Turbulent Flows and in Turbulent Transport
- Multistability and memory effect in a highly turbulent flow: experimental evidence for a global bifurcation
- Long time correlations in Lagrangian dynamics: a key to intermittency in turbulence
- Statistics of 3-dimensional Lagrangian turbulence
- Lagrangian Structure Functions in Turbulence: A Quantitative Comparison between Experiment and Direct Numerical Simulation
- Dynamics of inertial particles in a turbulent von Karman flow
- Recovering Isotropic Statistics in Turbulence Simulations: The Kolmogorov 4/5th-Law
- Local 4/5-Law and Energy Dissipation Anomaly in Turbulence
- Scaling exponents saturate in three-dimensional isotropic turbulence
- A phenomenological theory of Eulerian and Lagrangian velocity fluctuations in turbulent flows
- Kinetic plasma turbulence: recent insights and open questions from 3D3V simulations
- Lagrangian single particle turbulent statistics through the Hilbert-Huang Transform
- Effects of non-universal large scales on conditional structure functions in turbulence
- Lagrangian structure functions in fully-developed hydrodynamical turbulence
- Modelling Lagrangian velocity and acceleration in turbulent flows as infinitely differentiable stochastic processes
- Observational quantification of three-dimensional anisotropies and scalings of space plasma turbulence at kinetic scales
- Persistent accelerations disentangle Lagrangian turbulence
- Lagrangian diffusion properties of a free shear turbulent jet
- Velocity and acceleration statistics in particle-laden turbulent swirling flows
- Revealing intermittency in experimental data with steep power spectra
- Broken mirror symmetry of tracer's trajectories in turbulence
- Long-term memory in experiments and numerical simulations of hydrodynamic and magnetohydrodynamic turbulence
- Intermittency in the isotropic component of helical and non-helical turbulent flows