2017
DOI: 10.1146/annurev-fluid-010816-060309
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Space-Time Correlations and Dynamic Coupling in Turbulent Flows

Abstract: 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 models in both the Eulerian and Lagrangian frames of reference, which include the random sweeping and local straining models for isotropic and homogeneous turbulence, Taylor's frozen-flow model and the elliptic approximation model for turbulent shear flows, and the linear-wave propagation model and swept-wave model fo… Show more

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Cited by 149 publications
(103 citation statements)
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References 127 publications
(135 reference statements)
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“…These spectra are particularly useful in studies of multi-scale coupling in space and time [1,2]. However, obtaining full space-time energy spectra from experimental measurements remains challenging [3] because only a subset of the spatial and temporal signals of the velocity fluctuations is experimentally available.…”
Section: Introductionmentioning
confidence: 99%
“…These spectra are particularly useful in studies of multi-scale coupling in space and time [1,2]. However, obtaining full space-time energy spectra from experimental measurements remains challenging [3] because only a subset of the spatial and temporal signals of the velocity fluctuations is experimentally available.…”
Section: Introductionmentioning
confidence: 99%
“…As mentioned before, the settling velocities obtained from different approaches are expected to have some differences due to the complex physics after the tumbling stage of two particles. This may need more accurate modeling of the turbulence effects in the fluid‐particle interaction within localized areas . In contrast, the conventional SPH yields very poor results compared to the DLM/FDM solutions.…”
Section: Numerical Investigations On Particle Sedimentationmentioning
confidence: 99%
“…This may need more accurate modeling of the turbulence effects in the fluid-particle interaction within localized areas. 81 In contrast, the conventional SPH yields very poor results compared to the DLM/FDM solutions. To intuitively show the differences between the conventional and modified SPH results, the velocity distributions in the fluid obtained using the conventional SPH, modified…”
Section: Double-particle Sedimentationmentioning
confidence: 99%
“…However, most models only provide the statistical characteristics of turbulence. For example, 1-point statistical results such as mean velocity profile (Clauser, 1956), turbulence intensity (Marusic & Kunkel, 2003), power spectra (Perry et al, 1986), and Eulerian time correlation (Comte-Bellot & Corrsin, 1971) and multipoint statistical results such as space correlations, space-time correlations (He et al, 2017;He & Zhang, 2006), and structure functions (Davidson & Krogstad, 2014;De Silva et al, 2015;Kolmogorov, 1941aKolmogorov, , 1941b can be predicted by the existing models. A model for the prediction of flow field is very rare.…”
Section: Introductionmentioning
confidence: 99%