Are Lagrangian stochastic models at odds with statistical theories of relative dispersion?

TL;DR

This paper compares Lagrangian stochastic models with statistical theories of turbulent relative dispersion, finding perfect agreement regarding turbulence constants and addressing previous concerns about their consistency.

Contribution

It provides a direct comparison showing that stochastic and statistical models are consistent in their dependence on turbulence constants.

Findings

Models are in perfect agreement on turbulence constants

Addresses and resolves concerns about model consistency

Clarifies the relationship between stochastic and statistical approaches

Abstract

In an article on statistical modelling of turbulent relative dispersion, Franzese & Cassiani (2007, p. 402) commented on Lagrangian stochastic models and reported some concern about the consistency between statisti- cal and stochastic modelling of turbulent dispersion. In this short article, comparison of the two approaches is performed. As far as the dependence of models from turbulence constants is concerned, the two theoretical ap- proaches are found to be in perfect agreement eliminating every possible concern.