57 citations · 478 across the 33 of their papers we have counts for
10 papers · 1 filter
How close are shell models to the 3D Navier-Stokes equations?
Dario Vincenzi, John D. Gibbon
Shell models have found wide application in the study of hydrodynamic turbulence because they are easily solved numerically even at very large Reynolds numbers. Although bereft of…
Regimes of nonlinear depletion and regularity in the 3D Navier-Stokes equations
John D. Gibbon, Diego A. Donzis, Anupam Gupta +3
The periodic Navier-Stokes equations are analyzed in terms of dimensionless, scaled, -norms of vorticity (). The first in this hierarchy, $D…
Orientation of non-spherical particles in an axisymmetric random flow
Dario Vincenzi
The dynamics of non-spherical rigid particles immersed in an axisymmetric random flow is studied analytically. The motion of the particles is described by Jeffery's equation; the r…
Deformation of a flexible polymer in a random flow with long correlation time
Stefano Musacchio, Dario Vincenzi
The effects induced by long temporal correlations of the velocity gradients on the dynamics of a flexible polymer are investigated by means of theoretical and numerical analysis of…
Dispersion and collapse in stochastic velocity fields on a cylinder
Antonio Celani, Sylvain Rubenthaler, Dario Vincenzi
The dynamics of fluid particles on cylindrical manifolds is investigated. The velocity field is obtained by generalizing the isotropic Kraichnan ensemble, and is therefore Gaussian…
Nonlinear elastic polymers in random flow
M. Martins Afonso, D. Vincenzi
Polymer stretching in random smooth flows is investigated within the framework of the FENE dumbbell model. The advecting flow is Gaussian and short-correlated in time. The stationa…