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New insights into the fine-scale structure of turbulence

Abstract

In a recent study, Lawson & Dawson (J. Fluid Mech., vol. 780, 2015, pp. 60–98) present experimental results on the fine-scale structure of turbulence, which are obtained with a novel variant of particle image velocimetry, to elucidate the relation between the small-scale structure, dynamics and statistics of turbulence. The results are carefully validated against direct numerical simulation data. Their extensive study focuses on the mean structure of the velocity gradient and the pressure Hessian fields for various small-scale flow topologies. It thereby reveals the dynamical impact of turbulent strain and vorticity structures on the velocity gradient statistics through non-local interactions, and points out ways to improve low-dimensional closure models for the dynamics of small-scale turbulence.

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Corresponding author
Email address for correspondence: michael.wilczek@ds.mpg.de
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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

R. J. Adrian 1994 Stochastic estimation of conditional structure: a review. Appl. Sci. Res. 53 (3–4), 291303.

B. J. Cantwell 1992 Exact solution of a restricted Euler equation for the velocity gradient tensor. Phys. Fluids A 4 (4), 782793.

J. M. Lawson  & J. R. Dawson 2014 A scanning PIV method for fine-scale turbulence measurements. Exp. Fluids 55 (12), 1857.

Y. Li , E. Perlman , M. Wan , Y. Yang , C. Meneveau , R. Burns , S. Chen , A. Szalay  & G. Eyink 2008 A public turbulence database cluster and applications to study Lagrangian evolution of velocity increments in turbulence. J. Turbul. 9, N31.

J. Martin , C. Dopazo  & L. Valino 1998 Dynamics of velocity gradient invariants in turbulence: restricted Euler and linear diffusion models. Phys. Fluids 10 (8), 20122025.

C. Meneveau 2011 Lagrangian dynamics and models of the velocity gradient tensor in turbulent flows. Annu. Rev. Fluid Mech. 43 (1), 219245.

P. Vieillefosse 1982 Local interaction between vorticity and shear in a perfect incompressible fluid. J. Phys. France 43 (6), 837842.

J. M. Wallace  & P. V. Vukoslavcevic 2010 Measurement of the velocity gradient tensor in turbulent flows. Annu. Rev. Fluid Mech. 42 (1), 157181.

M. Wilczek  & C. Meneveau 2014 Pressure Hessian and viscous contributions to velocity gradient statistics based on Gaussian random fields. J. Fluid Mech. 756, 191225.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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