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

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.

17 pages, 11 figures

References in corpus (2)

• Lagrangian dynamics and statistical geometric structure of turbulence
• Modeling the pressure Hessian and viscous Laplacian in Turbulence: comparisons with DNS and implications on velocity gradient dynamics

Cited by in corpus (7)

• A closure for Lagrangian velocity gradient evolution in turbulence using recent deformation mapping of initially Gaussian fields
• A multifractal model for the velocity gradients dynamics in turbulent flows
• Instantons and the path to intermittency in turbulent flows
• Instantons in a Lagrangian model of turbulence
• Instantons and Fluctuations in a Lagrangian Model of Turbulence
• The Onset of Intermittency in Stochastic Burgers Hydrodynamics
• Extreme events and instantons in Lagrangian passive scalar turbulence models