The classical energy cascade in turbulence as described by Richardson and Kolmogorov is
predominantly a conjecture relying on the locality of interactions between scales of …

A temporal study of energy transfer across length scales is performed in 3D numerical
simulations of homogeneous shear flow and isotropic turbulence. The average time taken by …

In three-dimensional turbulence there is on average a cascade of kinetic energy from the
largest to the smallest scales of the flow. While the dominant idea is that the cascade occurs …

The defining characteristic of highly turbulent flows is the net directed transport of energy
from the injection scales to the dissipation scales. This cascade is typically described in …

Numerical simulations of statistically steady two‐dimensional (2‐D) turbulence are analyzed
to determine the relative importance of the types of wave‐vector triad interactions that …

We characterise the incompressible turbulence cascade in terms of the concurrent inter-
scale and inter-space exchanges of the scale-by-scale energy, helicity and enstrophy. The …

The tendency of turbulent flows to produce fine-scale motions from large-scale energy
injection is often viewed as a scale-wise cascade of kinetic energy driven by vorticity …

The spatial and temporal evolution of turbulence kinetic energy at different scales is studied
using direct numerical simulations of isotropic turbulence. To explicitly follow the energy …

The dynamics behind the multiscale energy transfer in turbulent flows is investigated in a
numerical simulation of homogeneous isotropic turbulence (HIT). The investigation relies on …

A numerical study of the-dimensional enstrophy analogue is derived and related to the
velocity derivative skewness. Comparisons are made to recent four-dimensional direct …