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Turbulent diffusion as a stochastic lagrangian process
Author(s) -
Rodean Howard C.
Publication year - 1995
Publication title -
environmetrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.68
H-Index - 58
eISSN - 1099-095X
pISSN - 1180-4009
DOI - 10.1002/env.3170060613
Subject(s) - turbulence , stochastic modelling , lagrangian , statistical physics , diffusion , turbulent diffusion , gaussian , diffusion process , particle (ecology) , mathematics , trajectory , stochastic process , boundary layer , physics , mechanics , statistics , computer science , geology , knowledge management , oceanography , innovation diffusion , quantum mechanics , astronomy , thermodynamics
The present status of stochastic Lagrangian models of turbulent diffusion is reviewed, beginning with a brief historical introduction. The mathematical and physical foundations of these models are described. The derivation of the model for the Lagrangian trajectory of a single particle is illustrated for one‐dimensional inhomogeneous Gaussian turbulence. Single‐particle models for non‐Gaussian turbulence in the convective boundary layer are described. The mean concentration in fixed co‐ordinates is calculated from the statistics of thousands of single‐particle trajectories. Another class of stochastic Lagrangian models gives the relative dispersion of particle pairs and the concentration variance. A list of references is provided for further study.