12 citations · 52 across the 12 of their papers we have counts for
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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence
Nicola de Divitiis
This work validates the Lyapunov--Liouville framework and its non-diffusive closures in decaying homogeneous isotropic turbulence (HIT) by numerically integrating the closed von Ká…
Quantitative Evaluation of Forward and Backward Scattering in Isotropic Turbulence via Hänggi--Klimontovich and Itô Stochastic Processes
Nicola de Divitiis
This work evaluates the magnitude of the turbulent energy cascade in terms of forward and backward scattering by modeling the "stretch and fold" mechanism through a drift-free Hang…
von Kàrmàn--Howarth and Corrsin equations closure based on Lagrangian description of the fluid motion
Nicola de Divitiis
A new approach to obtain the closure formulas for the von Kármán--Howarth and Corrsin equations is presented, which is based on the Lagrangian representation of the fluid motion, a…
Bifurcations analysis of turbulent energy cascade
Nicola de Divitiis
This note studies the mechanism of turbulent energy cascade through an opportune bifurcations analysis of the Navier--Stokes equations, and furnishes explanations on the more signi…
Refinement of a previous hypothesis of the Lyapunov analysis of isotropic turbulence
Nicola de Divitiis
The purpose of this brief comunication is to improve a hypothesis of the previous work of the author (de Divitiis, Theor Comput Fluid Dyn, doi:10.1007/s00162-010-0211-9) dealing wi…
Finite Scale Lyapunov Analysis of Temperature Fluctuations in Homogeneous Isotropic Turbulence
Nicola de Divitiis
This study analyzes the temperature fluctuations in incompressible homogeneous isotropic turbulence through the finite scale Lyapunov analysis of the relative motion between two fl…
Analysis of the turbulent law of the wall through the finite scale Lyapunov theory
Nicola de Divitiis
This work analyzes the turbulent velocity distribution in proximity of the wall using the finite-scale Lyapunov theory just presented in previous works. This theory is here applied…
Steady Homogeneous Turbulence in the Presence of an Average Velocity Gradient
Nicola de Divitiis
We study the homogeneous turbulence in the presence of a constant average velocity gradient in an infinite fluid domain, with a novel finite-scale Lyapunov analysis, presented in a…
Self-Similarity in Fully Developed Homogeneous Isotropic Turbulence Using the Lyapunov Analysis
Nicola de Divitiis
In this work, we calculate the self-similar longitudinal velocity correlation function and the statistical properties of velocity difference using the results of the Lyapunov analy…
Lyapunov Analysis for Fully Developed Homogeneous Isotropic Turbulence
Nicola de Divitiis
The present work studies the isotropic and homogeneous turbulence for incompressible fluids through a specific Lyapunov analysis, assuming that the turbulence is due to the bifurca…