Multiscale Model of Gradient Evolution in Turbulent Flows

by: Luca Biferale, Laurent Chevillard, Charles Meneveau, Federico Toschi

Physical Review Letters, Vol. 98, No. 21. (2007)

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Abstract

A multiscale model for the evolution of the velocity gradient tensor in turbulence is proposed. The model couples “restricted Euler” (RE) dynamics describing gradient self-stretching with a cascade model allowing energy exchange between scales. We show that inclusion of the cascade process is sufficient to regularize the finite-time singularity of the RE dynamics. Also, the model retains geometrical features of real turbulence such as preferential alignments of vorticity and joint statistics of gradient tensor invariants. Furthermore, gradient fluctuations are non-Gaussian, skewed in the longitudinal case, and derivative flatness coefficients are in good agreement with experimental data.

@article{citeulike:2185613, abstract = {A multiscale model for the evolution of the velocity gradient tensor in turbulence is proposed. The model couples \“restricted Euler\” (RE) dynamics describing gradient self-stretching with a cascade model allowing energy exchange between scales. We show that inclusion of the cascade process is sufficient to regularize the finite-time singularity of the RE dynamics. Also, the model retains geometrical features of real turbulence such as preferential alignments of vorticity and joint statistics of gradient tensor invariants. Furthermore, gradient fluctuations are non-Gaussian, skewed in the longitudinal case, and derivative flatness coefficients are in good agreement with experimental data.}, author = {Biferale, Luca and Chevillard, Laurent and Meneveau, Charles and Toschi, Federico }, citeulike-article-id = {2185613}, doi = {http://dx.doi.org/10.1103/PhysRevLett.98.214501}, journal = {Physical Review Letters}, keywords = {turbulence}, number = {21}, posted-at = {2008-01-01 17:08:58}, priority = {2}, publisher = {APS}, title = {Multiscale Model of Gradient Evolution in Turbulent Flows}, url = {http://dx.doi.org/10.1103/PhysRevLett.98.214501}, volume = {98}, year = {2007} }

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TY - JOUR ID - citeulike:2185613 L3 - citeulike-article-id:2185613 TI - Multiscale Model of Gradient Evolution in Turbulent Flows JF - Physical Review Letters VL - 98 IS - 21 PB - APS N2 - A multiscale model for the evolution of the velocity gradient tensor in turbulence is proposed. The model couples “restricted Euler” (RE) dynamics describing gradient self-stretching with a cascade model allowing energy exchange between scales. We show that inclusion of the cascade process is sufficient to regularize the finite-time singularity of the RE dynamics. Also, the model retains geometrical features of real turbulence such as preferential alignments of vorticity and joint statistics of gradient tensor invariants. Furthermore, gradient fluctuations are non-Gaussian, skewed in the longitudinal case, and derivative flatness coefficients are in good agreement with experimental data. KW - turbulence AU - Biferale, Luca AU - Chevillard, Laurent AU - Meneveau, Charles AU - Toschi, Federico PY - 2007/// UR - http://dx.doi.org/10.1103/PhysRevLett.98.214501 ER -

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