Abstracts—A new stochastic model (a diffusion approximation) for the relative dispersion of
pair of particles in high-Reynolds-number incompressible turbulence is proposed. An …

A new model for Lagrangian particle-pair separation in turbulent flows is developed and
compared with data from direct numerical simulations (DNS) of isotropic turbulence. The …

A new stochastic model for the motion of particle pairs in isotropic high-Reynolds-number
turbulence is proposed. The model is three-dimensional and its formulation takes account of …

A qualitative analysis of the stochastic two-particle dispersion model due to Durbin (J. Fluid
Mech., 1980, v. 100, p. 2, 279-302) is given. We conclude that this model essentially …

A family of Lagrangian stochastic models for the joint motion of particle pairs in isotropic
homogeneous stationary turbulence is considered. The Markov assumption and well-mixed …

Stochastic Lagrangian Models of relative motion of two fluid particles in one-and three
dimensions for locally isotropic incompressible turbulent flow are presented. A principle of …

A two-particle stochastic model of turbulent dispersion in the classical isotropic
pseudoturbulence is suggested. The main idea is to describe the relative motion of two …

The physical picture of a fluid particle pair as a couple of material points rotating around their
centre of mass is proposed to model turbulent relative dispersion in the inertial range. This …

Abstracts—It is shown that the relative diffusion in a stationary incompressible Gaussian
isotropic random field does not exhibit the Richardson cubic law. A two particle combined …

The laws governing the spread of a cluster of particles in homogeneous isotropic turbulence
are derived using a theoretical approach based on inertial subrange scaling and statistical …