Laboratoire de Mécanique des Fluides et d'Acoustique - UMR 5509

LMFA - UMR 5509
Laboratoire de Mécanique des Fluides et d’Acoustique
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France


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Accueil > Équipes > Turbulence & Instabilités > Publications T&I > Publications T&I 2018

Article dans Phys. Lett. A (2018)

Theories and applications of second-order correlation of longitudinal velocity increments at three points in isotropic turbulence

J.Z. Wu, L. Fang, L. Shao & L.P. Lu

Theories and applications of second-order correlation of longitudinal velocity increments at three points in isotropic turbulence

In order to introduce new physics to traditional two-point correlations, we define the second-order correlation of longitudinal velocity increments at three points and obtain the analytical expressions in isotropic turbulence. By introducing the Kolmogorov 4/5 law, this three-point correlation explicitly contains velocity second- and third-order moments, which correspond to energy and energy transfer respectively. The combination of them then shows additional information of non-equilibrium turbulence by comparing to two-point correlations. Moreover, this three-point correlation shows the underlying inconsistency between numerical interpolation and three-point scaling law in numerical calculations, and inspires a preliminary model to correct this problem in isotropic turbulence.
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