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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

An Analytical one-Dimensional Second-Order Closure Model of Turbulence Statistics and the Lagrangian Time Scale Within and Above Plant Canopies of Arbitrary Structure

TL;DR: In this article, an analytical second-order closure model is developed to describe the within canopy velocity variances, turbulent intensities, dissipation rates, Lagrangian time scale and Lagrangians far field diffusivities for vegetation canopies of arbitrary structure and density.
Journal ArticleDOI

Mechanistic models of seed dispersal by wind

TL;DR: In this paper, various mechanistic models have been developed to estimate the magnitude of seed dispersal by wind, and to elucidate the relative importance of physical and biological factors affecting this passive transport process.
Journal ArticleDOI

Validation of the UK Met. Office’s name model against the ETEX dataset

TL;DR: The ETEX 1 data set has been used to assess the performance of the UK Met Office's long-range dispersion model NAME as mentioned in this paper, which performed well, successfully predicting the overall spread and timing of the plume across Europe.
Journal ArticleDOI

An aerobiological framework for assessing cross-pollination in maize

TL;DR: An aerobiological framework for assessing corn pollen movement in the atmosphere is presented that could also be applied to other crops and to uncultivated species and is presented as a multidisciplinary albeit incomplete perspective to an emerging applied problem.
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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