Space-time correlations in turbulent flow: A review

TL;DR

This review discusses the historical development and applications of space-time correlations in turbulent flow analysis, highlighting their importance in turbulence modeling, experiments, and simulations over nearly seventy years.

Contribution

It provides a comprehensive overview of the evolution, uses, and significance of space-time correlations in turbulence research across different frames of reference.

Findings

Space-time correlations are crucial for turbulence theories and models.

They have been extensively used in experimental and simulation data analysis.

The review covers nearly seven decades of developments in this field.

Abstract

This paper reviews some of the principal uses, over almost seven decades, of correlations, in both Eulerian and Lagrangian frames of reference, of properties of turbulent flows at variable spatial locations and variable time instants. Commonly called space--time correlations, they have been fundamental to theories and models of turbulence as well as for the analyses of experimental and direct numerical simulation turbulence data.