# Space-time correlations in turbulent flow: A review

@article{Wallace2015SpacetimeCI, title={Space-time correlations in turbulent flow: A review}, author={James M. Wallace}, journal={arXiv: Fluid Dynamics}, year={2015} }

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.

## 44 Citations

### Space-Time Correlations and Dynamic Coupling in Turbulent Flows

- Physics
- 2017

Space-time correlation is a staple method for investigating the dynamic coupling of spatial and temporal scales of motion in turbulent flows. In this article, we review the space-time correlation…

### Space-time correlations in turbulent Rayleigh-Bénard convection

- Physics
- 2014

The recent development of the elliptic model (He, et al. Phy. Rev. E, 2006), which predicts that the space-time correlation function Cu(r, τ) in a turbulent flow has a scaling form Cu(rE, 0) with rE…

### Space-time correlations in turbulent Rayleigh-Bénard convection

- PhysicsActa Mechanica Sinica
- 2014

The recent development of the elliptic model (He, et al. Phy. Rev. E, 2006), which predicts that the space-time correlation function Cu(r, τ) in a turbulent flow has a scaling form Cu(rE, 0) with rE…

### A Predictive Method for Estimating Space–Time Correlations in the Atmospheric Surface Layer

- PhysicsBoundary-Layer Meteorology
- 2022

Space–time correlations are fundamental to statistical theories and turbulence modelling. However, experimental studies of space–time correlations are often restricted to the requirements of high…

### Modeling space-time correlations of velocity fluctuations in wind farms

- Physics, Environmental Science
- 2017

An analytical model for the streamwise velocity space-time correlations in turbulent flows is derived and applied to the special case of velocity fluctuations in large wind farms. The model is based…

### Spatio-temporal correlations in three-dimensional homogeneous and isotropic turbulence

- Physics
- 2021

We use direct numerical simulations (DNSs) of the forced Navier–Stokes equation for a three-dimensional incompressible fluid in order to test recent theoretical predictions. We study the two- and…

### Characteristics of space-time energy spectra in turbulent Shear flows

- Physics
- 2017

An energy spectrum is preliminarily characterized by its mean and standard deviation. In this study, we derive exact expressions for the means and bandwidths of space-time energy spectra at fixed…

### Spatio-temporal spectra in the logarithmic layer of wall turbulence: large-eddy simulations and simple models

- Physics, Environmental ScienceJournal of Fluid Mechanics
- 2015

Motivated by the need to characterize the spatio-temporal structure of turbulence in wall-bounded flows, we study wavenumber–frequency spectra of the streamwise velocity component based on large-eddy…

### Spatio-temporal correlations in turbulence from functional renormalisation group

- Physics
- 2022

Space-time correlations are central objects in the statistical theory of turbulence and their modelling plays a crucial role in many applications. Simple phenomenological arguments, such as the…

### A formal derivation of the local energy transfer (LET) theory of homogeneous turbulence

- Physics
- 2017

A statistical closure of the Navier–Stokes hierarchy which leads to equations for the two-point, two-time covariance of the velocity field for stationary, homogeneous isotropic turbulence is…

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