Velocity-Gradient Probability Distribution Functions in a Lagrangian Model of Turbulence

Moriconi, L.; Pereira, R.M.; Grigorio, L.S.

Velocity-Gradient Probability Distribution Functions in a Lagrangian Model of Turbulence

Conference paper (2015)

Authors

L. Moriconi

R.M. Pereira

L.S. Grigorio

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Published Date

26-08-2015

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Abstract

The Recent Fluid Deformation Closure (RFDC) model of lagrangian turbulence is recast in path-integral language within the framework of the Martin-Siggia-Rose functional formalism. In order to derive analytical expressions for the velocity-gradient probability distribution functions (vgPDFs), we carry out noise renormalization in the low-frequency regime and find approximate extrema for the Martin-Siggia-Rose effective action. We verify, with the help of Monte Carlo simulations, that the vgPDFs so obtained yield a close description of the single-point statistical features implied by the original RFDC stochastic differential equations.

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