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Journal ArticleDOI

Criteria for the selection of stochastic models of particle trajectories in turbulent flows

David J. Thomson
- 01 Jul 1987 - 
- Vol. 180, Iss: -1, pp 529-556
TLDR
In this paper, the relationships between the various criteria are examined for a very general class of models and it is shown that most of the criteria are equivalent and also how a model can be designed to satisfy these criteria exactly and to be consistent with inertial-subrange theory.
Abstract
Many different random-walk models of dispersion in inhomogeneous or unsteady turbulence have been proposed and several criteria have emerged to distinguish good models from bad. In this paper the relationships between the various criteria are examined for a very general class of models and it is shown that most of the criteria are equivalent. It is also shown how a model can be designed to satisfy these criteria exactly and to be consistent with inertial-subrange theory. Some examples of models that obey the criteria are described. As an illustration some calculations of dispersion in free-convective conditions are presented.

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Citations
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Journal ArticleDOI

Relating Eulerian and Lagrangian Statistics for the Turbulent Dispersion in the Atmospheric Convective Boundary Layer

TL;DR: In this article, Eulerian and Lagrangian statistics in the atmospheric convective boundary layer (CBL) are studied by means of large eddy simulation (LES), and the integral length and time scales are derived.
Journal ArticleDOI

A Lagrangian particle model of fumigation by breakdown of the nocturnal inversion

TL;DR: In this paper, a number of particle model formulations are evaluated for their ability to maintain a well-mixed profile under steady-state convective conditions and the importance of using a formulation of the Langevin equation which is compatible with the specified turbulence parameterization is emphasised.
Journal ArticleDOI

Comparison among empirical probability density functions of the vertical velocity in the surface layer based on higher order correlations

TL;DR: In this paper, the authors compared observed and predicted correlations by considering Gaussian joint-PDF and Gram-Charlier series expansions truncated to the fourth and sixth order as done earlier by Frenkiel and Klebanoff.
Journal ArticleDOI

Material Transport in Oceanic Gyres. Part III: Randomized Stochastic Models

TL;DR: In this paper, a stochastic transport model is proposed to simulate the transport of material by turbulent flows in the presence of coherent fluid structures, and its performance is tested against an eddy-resolving solution of the ocean circulation.
Journal ArticleDOI

Atmospheric Tomography: A Bayesian Inversion Technique for Determining the Rate and Location of Fugitive Emissions

TL;DR: A Bayesian inversion technique to determine the location and strength of trace gas emissions from a point source in open air is presented and will be useful in assurance monitoring for geological storage of CO(2) and for applications requiring knowledge of the location of fugitive emissions.
References
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Journal ArticleDOI

Turbulence Structure in the Convective Boundary Layer

TL;DR: In this paper, a boundary layer experiment conducted over a flat site in northwestern Minnesota is discussed, where wind and temperature fluctuations near the ground were measured with AFCRL's fast-response instrumentation on a 32 m tower with MRU probes attached at five different heights to the tethering cable of a 1300 m2 kite balloon.
Book

Theory and Applications of Stochastic Differential Equations

TL;DR: Presents theory, sources, and applications of stochastic differential equations of Ito's type; those containing white noise; and the role of partial differential equations in this context.
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