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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

A random walk model for dispersion in inhomogeneous turbulence in a convective boundary layer

TL;DR: In this article, a random walk model is developed based on the approach of Thomson (1987, J. Fluid Mech. 180, 529,556) which satisfies the well-mixed condition, incorporates skewness in the vertical velocity and has Gaussian random forcing.
Journal ArticleDOI

Applying Lagrangian fluid mechanics to infer scalar source distributions from concentration profiles in plant canopies

TL;DR: In this paper, an analytic Lagrangian method for calculating the concentration field of a scalar emanating from a steady spatially extensive source in an inhomogeneous flow is proposed.
Journal ArticleDOI

Quality control of CarboEurope flux data. Part 1: Coupling footprint analyses with flux data quality assessment to evaluate sites in forest ecosystems

TL;DR: In this paper, a site evaluation approach combining Lagrangian Stochastic footprint modeling with a quality assessment approach for eddy-covariance data was applied to 25 forested sites of the CarboEurope-IP network.
Journal ArticleDOI

Flux and Concentration Footprint Modelling: State of the Art

TL;DR: There has recently been a trend emerging in modelling the behavior of the footprint functions using a less idealized, more realistic description of inhomogeneities, vegetation structure and topography, ultimately for reactive compounds.
Journal ArticleDOI

Formulation of the Dutch Atmospheric Large-Eddy Simulation (DALES) and overview of its applications

TL;DR: The Dutch Atmospheric Large-Eddy Simulation (DALES) as discussed by the authors is a large-eddy simulation code designed for studies of the physics of the atmospheric boundary layer, including convective and stable boundary layers as well as cloudy boundary layers.
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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