Shell models of hydrodynamic turbulence originated in the seventies. Their main aim was to
describe the statistics of homogeneous and isotropic turbulence in spectral space, using a …

In three-dimensional hydrodynamic turbulence forced at large length scales, a constant
energy flux Π u flows from large scales to intermediate scales, and then to small scales. It is …

Hydrodynamic flows exhibit turbulent behaviour which is not well understood till date. When
a fluid is in a gravitational field, the flow becomes even more complex due to the gravity …

The zeroth law of turbulence states that, for fixed energy input into large-scale motions, the
statistical steady state of a turbulent system is independent of microphysical dissipation …

To comprehensively understand the saturation of two-dimensional (2D) magnetized Kelvin–
Helmholtz-instability-driven turbulence, energy transfer analysis is extended from the …

One of the most important predictions in magnetohydrodynamics is that in the presence of a
uniform magnetic field b 0 e^∥ a transition from weak to strong wave turbulence should …

Hall magnetohydrodynamics (MHD) is investigated through three-dimensional direct
numerical simulations. We show that the Hall effect induces a spontaneous chiral symmetry …

A comparison is made between several existing exact laws in incompressible Hall
magnetohydrodynamic turbulence in order to show their equivalence, despite stemming …

The breakdown of scale invariance in turbulent flows, known as multifractal scaling, is
considered a cornerstone of turbulence. In solar wind turbulence, a monofractal behavior …

This article reviews recent studies of scale interactions in magnetohydrodynamic turbulence.
The present-day increase of computing power, which allows for the exploration of different …