Space-time correlation is a staple method for investigating the dynamic coupling of spatial
and temporal scales of motion in turbulent flows. In this article, we review the space-time …

Fourier and related transforms are a family of algorithms widely employed in diverse areas
of computational science, notoriously difficult to scale on high-performance parallel …

The understanding of turbulent flows is one of the biggest current challenges in physics, as
no first-principles theory exists to explain their observed spatio-temporal intermittency …

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 …

A phenomenological theory of the fluctuations of velocity occurring in a fully developed
homogeneous and isotropic turbulent flow is presented. The focus is made on the …

The Hilbert-Huang transform is applied to analyze single-particle Lagrangian velocity data
from numerical simulations of hydrodynamic turbulence. The velocity trajectory is described …

The velocity circulation, a measure of the rotation of a fluid within a closed path, is a
fundamental observable in classical and quantum flows. It is indeed a Lagrangian invariant …

We present an overview of recent works on the statistical description of turbulent flows in
terms of probability density functions (PDFs) in the framework of the Lundgren–Monin …

We study small-scale and high-frequency turbulent fluctuations in three-dimensional flows
under Fourier-mode reduction. The Navier–Stokes equations are evolved on a restricted set …

Finite-temperature quantum turbulence is often described in terms of two immiscible fluids
that can flow with a nonzero-mean relative velocity. Such out-of-equilibrium state is known …