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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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A Data System for Visualizing 4-D Atmospheric CO2 Models and Data

TL;DR: Examples of how KML representations of atmospheric CO2 datasets and model outputs can be visualized with virtual globe client applications are shown, allowing a diverse group of users to explore the complex scientific datasets that are central to the discussion of climate change and global warming.
Book ChapterDOI

A fast lagrangian particle model for use with three-dimensional mesoscale models

TL;DR: The Lagrangian particle dispersion models are based on a Langevin equation for the velocity of a fluid particle, and can take a number of different forms, depending mainly on the type of turbulence being simulated.
Journal ArticleDOI

Effect of the local wind reduction zone on seed dispersal from a single shrub element on sparsely vegetated land.

Lin-Tao Fu
- 01 Aug 2021 - 
TL;DR: The results of this study may improve the currently used mechanistic models by either increasing their flexibility in case studies or by helping explain the variations in the observed distributions.
Journal ArticleDOI

Turbulence scale dependence of the richardson constant in lagrangian stochastic models

TL;DR: In this paper, the relative dispersion properties of Lagrangian stochastic models were investigated, and it was shown that the properties depend solely on a non-dimensional parameter, which measures the rela- tive weight of the Lagrangians to Eulerian scales.
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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