Experimental and numerical study of the Lagrangian dynamics of high Reynolds turbulence

By N. Mordant, E. Lévêque, Jean-François Pinton. 2004

196 citations recorded by the source corpus.

We introduce an original acoustic method to track the motion of tracer particles in high Reynolds number turbulent flows. We present in detail the experimental technique and show that it yields a measurement of the Lagrangian velocity variations of single particles, resolved across the inertial range turbulence. Second-order quantities such as the velocity autocorrelation function and time spectrum are in agreement with Kolmogorov 1941 phenomenology. Higher-order quantities reveal a very strong intermittency in the Lagrangian dynamics. Using both the results of the measurements and of direct numerical simulations, we show that the origin of intermittency can be traced back to the existence of long-time correlations in the dynamics of the Lagrangian acceleration. Finally, we discuss the role played by vortices in the Lagrangian dynamics.

Subfields: Aerospace Engineering, Computational Mechanics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/a693e07860f314801032541d281ef0aff77974c3

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Citations in the corpus

Eulerian and Lagrangian views of a turbulent boundary layer flow using time-resolved tomographic PIV (2011, methodology): “Up to now the experimental Lagrangian turbulence characterization has been performed by statistical analysis over several spatially independent single or groups of particles measured by tracking methods [3][4].”
Dynamics and statistics of heavy particles in turbulent flows (2006, background): “Concerning fluid tracers, it has been found that the acceleration probability density function (pdf) displays the typical fat tails of highly intermittent signals [28, 32].”
The three-dimensional Euler equations : Where do we stand? (2008, background): “The second area where quaternions have an application lies in the recent experimental advances that have made in the detection of the trajectories of tracer and other particles in fluid flows [90–99].”
Acceleration statistics of finite-sized particles in turbulent flow: the role of Faxén forces (2008, background): “When the control parameters Rep and ReS become finite, the non-linearity of the flow dynamics in the vicinity of the particle must be taken into account (see the review by Michaelides (1997) ).”