The Lagrangian description of turbulence is characterized by a unique conceptual simplicity
and by an immediate connection with the physics of dispersion and mixing. In this article, we …

Pressure fluctuations are an important ingredient in turbulence, eg in the pressure strain
terms which redistribute turbulence among the different fluctuating velocity components. The …

We make an attempt at obtaining the scaling exponents for the anisotropic components of
structure functions of order 2 through 6. We avoid mixing these components with their …

The statistical properties of wall turbulence in the logarithmic region are investigated using
structure functions of the streamwise velocity. To this end, datasets that span several orders …

Recent progress on the anomalous scaling in models of turbulent heat and mass transport is
reviewed with the emphasis on the approach based on the field-theoretic renormalization …

The field theoretic renormalization group (RG) and the operator-product expansion are
applied to the model of a transverse (divergence-free) vector quantity, passively advected by …

One of the main benchmarks in direct numerical simulations of three-dimensional turbulence
is the Kolmogorov prediction for third-order structure functions with homogeneous and …

Three-dimensional direct numerical simulations are used to study the energy cascade rate
in isothermal compressible magnetohydrodynamic turbulence. Our analysis is guided by a …

It is now believed that the scaling exponents of moments of velocity increments are
anomalous, or that the departures from Kolmogorov's (1941) self-similar scaling increase …

A detailed assessment of the inter-scale energy budget of the turbulent flow in a von Kármán
mixing tank has been performed based on two extensive experimental data sets …