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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

SLP-2D: A new Lagrangian particle model to simulate pollutant dispersion in street canyons

TL;DR: In this article, pollutant dispersion inside a street canyon is simulated using SLP-2D (street Lagrangian particles), which uses wind flow data provided by FLUENT CFD simulations to compute particle trajectories.
Journal ArticleDOI

Estimation of the Lagrangian Velocity Structure Function Constant C0 by Large-Eddy Simulation

TL;DR: In this article, an ensemble of Lagrangian particles in a planetary boundary layer simulated with a large-eddy simulation model and analyzed the Lagrangians velocity structure function in the inertial subrange.
Journal ArticleDOI

On trajectory curvature as a selection criterion for valid lagrangian stochastic dispersion models

TL;DR: In this paper, it was shown that the average increment of the Lagrangian velocity-fluctuation vector to the orientation θ = arctan(w'/u' ) is not a sufficient or universally applicable criterion to distinguish the better Lagrangians within the well-mixed class.
Journal ArticleDOI

Lagrangian models of dispersion in marine environment

TL;DR: In this paper, two classes of Lagrangian dispersion models have been considered in this work, which are based on the Wiener process and the so called well-mixed criterion.
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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