4 papers
Communities for the Lagrangian Dynamics of the Turbulent Velocity Gradient Tensor: A Network Participation Approach
Christopher J. Keylock, Maurizio Carbone
Complex network analysis methods have been widely applied to nonlinear systems, but applications within fluid mechanics are relatively few. In this paper, we use a network for the…
Complex network approach to the turbulent velocity gradient dynamics: High- and low-probability Lagrangian paths
Christopher J. Keylock, Maurizio Carbone
Understanding the dynamics of the turbulent velocity gradient tensor (VGT) is essential to gain insights into the Navier-Stokes equations and improve small-scale turbulence modelin…
Asymptotic predictions on the velocity gradient statistics in low-Reynolds number random flows: Onset of skewness, intermittency and alignments
Maurizio Carbone, Michael Wilczek
Stirring a fluid through a Gaussian forcing at a vanishingly small Reynolds number produces a Gaussian random field, while flows at higher Reynolds numbers exhibit non-Gaussianity,…
Are there higher-order Betchov homogeneity constraints for incompressible isotropic turbulence?
Maurizio Carbone, Michael Wilczek
Incompressible and statistically homogeneous flows obey exact kinematic relations. The Betchov homogeneity constraints (Betchov, J. Fluid Mech., vol. 1, 1956, pp. 497-504) for the…