Theories and applications of second-order correlation of longitudinal velocity increments at three points in isotropic turbulence. Wu, J., Z., Fang, L., Shao, L., & Lu, L., P. Physics Letters A, 382(25):1665-1671, North-Holland, 4, 2018. ![Theories and applications of second-order correlation of longitudinal velocity increments at three points in isotropic turbulence [link]](https://bibbase.org/img/filetypes/link.svg "link")
Website doi abstract bibtex 5 downloads 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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abstract = {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.},
bibtype = {article},
author = {Wu, J Z and Fang, L and Shao, L and Lu, L P},
doi = {10.1016/j.physleta.2018.04.021},
journal = {Physics Letters A},
number = {25}
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Downloads: 5
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