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 …

Turbulence in fluid flows is characterized by a wide range of interacting scales. Since the
scale range increases as some power of the flow Reynolds number, a faithful simulation of …

Building upon the intrinsic properties of Navier-Stokes dynamics, namely the prevalence of
intense vortical structures and the interrelationship between vorticity and strain rate, we …

Fluid flows are intrinsically characterized via the topology and dynamics of underlying vortex
lines. Turbulence in common fluids like water and air, mathematically described by the …

The scaling of acceleration statistics in turbulence is examined by combining data from the
literature with new data from well-resolved direct numerical simulations of isotropic …

Inertial-range scaling exponents for both Lagrangian and Eulerian structure functions are
obtained from direct numerical simulations of isotropic turbulence in triply periodic domains …

Statistically homogeneous flows obey exact kinematic relations. The Betchov homogeneity
constraints (Betchov, J. Fluid Mech., vol. 1, 1956, pp. 497–504) for the average principal …

An efficient approach for extracting three-dimensional local averages in spherical
subdomains is proposed and applied to study the intermittency of small-scale velocity and …

We investigate the role of pressure, via its Hessian tensor ${\boldsymbol {H}} $, on
amplification of vorticity and strain-rate and contrast it with other inviscid nonlinear …

The nonlinear and nonlocal coupling of vorticity and strain rate constitutes a major
hindrance in understanding the self-amplification of velocity gradients in turbulent fluid flows …