Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

When discussing research in physics and in science more generally, it is common to ascribe
equal importance to the three components of the scientific trinity: theoretical, experimental …

▪ Abstract We review the most important theoretical and numerical results obtained in the
realm of shell models for the energy-turbulent cascade. We mainly focus here on those …

The theory of fully developed turbulence is usually considered in an idealized
homogeneous and isotropic state. Real turbulent flows exhibit the effects of anisotropic …

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 …

We investigate the regime of fully developed homogeneous and isotropic turbulence of the
Navier-Stokes (NS) equation in the presence of a stochastic forcing, using the …

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 Lagrangian method is introduced for calculating simultaneous n-point correlations of a
passive scalar advected by a random velocity field, with random forcing and finite molecular …

We present an application of the multifractal formalism able to predict the whole shape of the
probability density function (pdf) of the dissipative scale, η⁠. We discuss both intense …

The development of turbulence in subsonic submerged jets is reviewed. It is shown that the
turbulence results from a strong amplification of the weak input noise that is always present …