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Acceleration statistics of tracer particles in filtered turbulent fields

Published online by Cambridge University Press:  29 May 2018

Cristian C. Lalescu Open the ORCID record for Cristian C. Lalescu [Opens in a new window]  and
Michael Wilczek Open the ORCID record for Michael Wilczek [Opens in a new window]
Cristian C. Lalescu*
Affiliation:
Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany
Michael Wilczek
Affiliation:
Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany
*
†Email address for correspondence: Cristian.Lalescu@ds.mpg.de
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Abstract

We present results from direct numerical simulations of tracer particles advected in filtered velocity fields to quantify the impact of the scales of turbulence on Lagrangian acceleration statistics. Systematically removing spatial scales reduces the frequency of extreme acceleration events, consistent with the notion that they are rooted in the small-scale structure of turbulence. We also find that acceleration variance and flatness as a function of filter scale closely resemble experimental results of neutrally buoyant, finite-sized particles, corroborating the picture that particle size determines the scale on which turbulent fluctuations are sampled.

JFM classification

Turbulent Flows: Intermittency Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows Turbulent Flows: Turbulent Flows
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 847 , 25 July 2018 , R2
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Copyright
© 2018 Cambridge University Press 

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