Lagrangian velocity statistics in turbulent flows: effects of dissipation

L Chevillard, SG Roux, E Lévêque, N Mordant… - Physical review …, 2003 - APS
We use the multifractal formalism to describe the effects of dissipation on Lagrangian
velocity statistics in turbulent flows. We analyze high Reynolds number experiments and …

A note on the fluctuation of dissipative scale in turbulence

L Biferale - Physics of Fluids, 2008 - pubs.aip.org
We present an application of the multifractal formalism able to predict the whole shape of the
probability density function (pdf) of the dissipative scale, η⁠. We discuss both intense …

Multifractality in the statistics of the velocity gradients in turbulence

R Benzi, L Biferale, G Paladin, A Vulpiani… - Physical review …, 1991 - APS
Using the multifractal approach, we derive the probability distribution function (PDF) of the
velocity gradients in fully developed turbulence. The PDF is given by a nontrivial …

Scaling of acceleration statistics in high Reynolds number turbulence

D Buaria, KR Sreenivasan - Physical Review Letters, 2022 - APS
The scaling of acceleration statistics in turbulence is examined by combining data from the
literature with new data from well-resolved direct numerical simulations of isotropic …

Universal shape of scaling functions in turbulence

J Herweijer, W van de Water - Physical review letters, 1995 - APS
Using a novel device that enables the real-time measurement of high-order structure
functions in turbulence with superior statistical accuracy, we study the shape of the structure …

Multifractal scaling of velocity derivatives in turbulence

M Nelkin - Physical Review A, 1990 - APS
We consider the Reynolds-number dependence of various higher-order quantities
evaluated at a single spatial point in an incompressible turbulent flow. In particular, we …

Inertial range Eulerian and Lagrangian statistics from numerical simulations of isotropic turbulence

R Benzi, L Biferale, R Fisher, DQ Lamb… - Journal of Fluid …, 2010 - cambridge.org
We present a study of Eulerian and Lagrangian statistics from a high-resolution numerical
simulation of isotropic and homogeneous turbulence using the FLASH code, with an …

Unified multifractal description of velocity increments statistics in turbulence: Intermittency and skewness

L Chevillard, B Castaing, E Lévêque… - Physica D: Nonlinear …, 2006 - Elsevier
The phenomenology of velocity statistics in turbulent flows, up to now, relates to different
models dealing with either signed or unsigned longitudinal velocity increments, with either …

Saturation and Multifractality of Lagrangian and Eulerian Scaling Exponents in Three-Dimensional Turbulence

D Buaria, KR Sreenivasan - Physical Review Letters, 2023 - APS
Inertial-range scaling exponents for both Lagrangian and Eulerian structure functions are
obtained from direct numerical simulations of isotropic turbulence in triply periodic domains …

Experimental investigation of Lagrangian structure functions in turbulence

J Berg, S Ott, J Mann, B Lüthi - Physical Review E—Statistical, Nonlinear, and …, 2009 - APS
Lagrangian properties obtained from a particle tracking velocimetry experiment in a
turbulent flow at intermediate Reynolds number are presented. Accurate sampling of particle …