Scaling of conditional lagrangian time correlation functions of velocity and pressure gradient magnitudes in isotropic turbulence. Yu, H. & Meneveau, C. Flow, Turbulence and Combustion, 85(3-4):457-472, Springer Netherlands, 4, 2010. ![Scaling of conditional lagrangian time correlation functions of velocity and pressure gradient magnitudes in isotropic turbulence [link]](https://bibbase.org/img/filetypes/link.svg "link")
Website doi abstract bibtex We study Lagrangian statistics of the magnitudes of velocity and pressure gradients in isotropic turbulence by quantifying their correlation functions and their characteristic time scales. In a recent work (Yu and Meneveau, Phys Rev Lett 104:084502, 2010), it has been found that the Lagrangian time-correlations of the velocity and pressure gradient tensor and vector elements scale with the locally- definedKolmogorov time scale, evaluated from the locally-averaged dissipation-rate (?r) and viscosity (ν) according to τK,r = √ν/?r. In thiswork, we study theLagrangian time-correlations of the absolute values of velocity and pressure gradients. It has long been known that such correlations display longer memories into the inertial- range as well as possible intermittency effects. We explore the appropriate temporal scales with the aim to achieve collapse of the correlation functions. The data used in this study are sampled from the web-services accessible public turbulence database (http://turbulence.pha.jhu.edu). The database archives a 10244 (space+time) pseudo- spectral direct numerical simulation of forced isotropic turbulence with Taylor- scale Reynolds number Reλ = 433, and supports spatial differentiation and spa- tial/temporal interpolation inside the database. The analysis shows that the temporal auto-correlations of the absolute values extend deep into the inertial range where they are determined not by the local Kolmogorov time-scale but by the local eddy-turnover time scale defined as τe,r = r2/3?−1/3 r .However, considerable scatter remains and appears to be reduced only after a further (intermittency) correction factor of the form of (r/L)χ is introduced, where L is the turbulence integral scale. The exponent χ varies for different variables. The collapse of the correlation functions for absolute values is, however, less satisfactory than the collapse observed for the more rapidly decaying strain-rate tensor element correlation functions in the viscous range.
@article{
title = {Scaling of conditional lagrangian time correlation functions of velocity and pressure gradient magnitudes in isotropic turbulence},
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year = {2010},
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abstract = {We study Lagrangian statistics of the magnitudes of velocity and pressure gradients in isotropic turbulence by quantifying their correlation functions and their characteristic time scales. In a recent work (Yu and Meneveau, Phys Rev Lett 104:084502, 2010), it has been found that the Lagrangian time-correlations of the velocity and pressure gradient tensor and vector elements scale with the locally- definedKolmogorov time scale, evaluated from the locally-averaged dissipation-rate (?r) and viscosity (ν) according to τK,r = √ν/?r. In thiswork, we study theLagrangian time-correlations of the absolute values of velocity and pressure gradients. It has long been known that such correlations display longer memories into the inertial- range as well as possible intermittency effects. We explore the appropriate temporal scales with the aim to achieve collapse of the correlation functions. The data used in this study are sampled from the web-services accessible public turbulence database (http://turbulence.pha.jhu.edu). The database archives a 10244 (space+time) pseudo- spectral direct numerical simulation of forced isotropic turbulence with Taylor- scale Reynolds number Reλ = 433, and supports spatial differentiation and spa- tial/temporal interpolation inside the database. The analysis shows that the temporal auto-correlations of the absolute values extend deep into the inertial range where they are determined not by the local Kolmogorov time-scale but by the local eddy-turnover time scale defined as τe,r = r2/3?−1/3 r .However, considerable scatter remains and appears to be reduced only after a further (intermittency) correction factor of the form of (r/L)χ is introduced, where L is the turbulence integral scale. The exponent χ varies for different variables. The collapse of the correlation functions for absolute values is, however, less satisfactory than the collapse observed for the more rapidly decaying strain-rate tensor element correlation functions in the viscous range.},
bibtype = {article},
author = {Yu, Huidan and Meneveau, Charles},
doi = {10.1007/s10494-010-9256-5},
journal = {Flow, Turbulence and Combustion},
number = {3-4}
}
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The database archives a 10244 (space+time) pseudo- spectral direct numerical simulation of forced isotropic turbulence with Taylor- scale Reynolds number Reλ = 433, and supports spatial differentiation and spa- tial/temporal interpolation inside the database. The analysis shows that the temporal auto-correlations of the absolute values extend deep into the inertial range where they are determined not by the local Kolmogorov time-scale but by the local eddy-turnover time scale defined as τe,r = r2/3?−1/3 r .However, considerable scatter remains and appears to be reduced only after a further (intermittency) correction factor of the form of (r/L)χ is introduced, where L is the turbulence integral scale. The exponent χ varies for different variables. 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