Abstract
The statistical properties of velocity and acceleration fields along the trajectories of fluid particles transported by a fully developed turbulent flow are investigated by means of high resolution direct numerical simulations. We present results for Lagrangian velocity structure functions, the acceleration probability density function, and the acceleration variance conditioned on the instantaneous velocity. These are compared with predictions of the multifractal formalism, and its merits and limitations are discussed.
Highlights
The statistical properties of velocity and acceleration fields along the trajectories of fluid particles transported by a fully developed turbulent flow are investigated by means of high resolution direct numerical simulations
In this Letter we show how the multifractal formalism offers an alternative approach which is rooted in the phenomenology of turbulence
Letter is to compare predictions of the multifractal formalism for Lagrangian velocity structure functions, the acceleration probability density functions (PDFs), and the acceleration variance conditioned on the instantaneous velocity with those obtained from the direct numerical simulations (DNS) data
Summary
The statistical properties of velocity and acceleration fields along the trajectories of fluid particles transported by a fully developed turbulent flow are investigated by means of high resolution direct numerical simulations. The most natural way to quantify such phenomena is via probability density functions (PDFs) of the Lagrangian velocity increment, P v, and acceleration, P a. This has been successfully used to explain Eulerian statistics such as structure functions [15,16,17] and velocity gradients [18,19] and Lagrangian statistics such as the acceleration covariance
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