On relating Eulerian and Lagrangian velocity statistics: single particles in homogeneous flows

DOI10.1017/S0022112082000019zbMath0523.76040OpenAlexW2093846059MaRDI QIDQ3674248

Russ E. Davis

Publication date: 1982

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112082000019

zbMATH Keywords

stationarystatistically homogeneousevolution of statistical quantitiesfrequency spectrum of velocityjoint-normal distributionsmean particle driftmean-square particle velocityminimising mean-square errorquasi-normal closure, direct interaction approximation and parameterised Gaussian theoriesstatistically optimised density estimatorvelocity observations in Eulerian frame and Lagrangian observationsweak- interaction and successive approximation theories

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Hydrology, hydrography, oceanography (86A05) Incompressible viscous fluids (76D99) Incompressible inviscid fluids (76B99) Basic methods in fluid mechanics (76M99) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (5)

Lagrangian mixing in straight compound channels ⋮ Lagrangian Statistics from Oceanic and Atmospheric Observations ⋮ A closure method for random advection of a passive scalar ⋮ On stationarity of Lagrangian observations of passive tracer velocity in a compressible environ\-ment ⋮ Fractal trajectories and anomalous diffusion for chaotic particle motions in 2D turbulence

Cites Work

• The structure of isotropic turbulence at very high Reynolds numbers
• Analytical theory of turbulent diffusion
• Dispersion by random velocity fields
• Turbulent self-diffusion
• Lagrangian velocity covariance in helical turbulence
• Euler-Lagrange Relationship for Random Dispersive Waves
• Diffusion by a Random Velocity Field
• Application of the Wiener-Hermite Expansion to the Diffusion of a Passive Scalar in a Homogeneous Turbulent Flow

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