Understanding and predicting turbulent flow phenomena remain a challenge for both theory
and applications. The nonlinear and nonlocal character of small-scale turbulence can be …

Many fundamental and intrinsic properties of small-scale motions in turbulence can be
described using the velocity gradient tensor. This tensor encodes interesting geometric and …

Fluid dynamics turbulence refers to the chaotic and unpredictable dynamics of flows.
Despite the fact that the equations governing the motion of fluids are known since more than …

An intrinsic feature of turbulent flows is an enhanced rate of mixing and kinetic energy
dissipation due to the rapid generation of small-scale motions from large-scale excitation …

Two aspects of small-scale turbulence are currently regarded universal, as they have been
reported for a wide variety of turbulent flows. Firstly, the vorticity vector has been found to …

Modeling the velocity gradient tensor A=∇ u along Lagrangian trajectories in turbulent flow
requires closures for the pressure Hessian and viscous Laplacian of A⁠. Based on an …

Reduced models describing the Lagrangian dynamics of the velocity gradient tensor (VGT)
in homogeneous isotropic turbulence (HIT) are developed under the physics-informed …

The orientation dynamics of small anisotropic tracer particles in turbulent flows is studied
using direct numerical simulation (DNS) and results are compared with Lagrangian …

We develop a stochastic model for the velocity gradient dynamics along a Lagrangian
trajectory in isotropic and homogeneous turbulent flows. Comparing with different attempts …

This work presents evidence of the relation between the dynamics of intense events in the
dissipative range of turbulence and the energy cascade. The generalised (Hölder) means …