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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

Validation of the Langevin particle dispersion model against experiments on turbulent mixing in a T-junction

TL;DR: In this paper, a hybrid Euler-Lagrange approach is proposed to predict turbulent fluid mixing downstream of a T-junction using a hybrid approach whereby tracer particle trajectories are computed and mixing of the streams deduced from the relative concentration of particles originating from the two inlet branches of the Tee.
Journal ArticleDOI

Validation of theoretical footprint models using experimental measurements of turbulent fluxes over maize fields in Po Valley

TL;DR: In this article, the spatial distribution of carbon dioxide, latent and sensible heat fluxes across two different maize fields in Po Valley, is used to validate two theoretical footprint models, and experiments are performed in two totally different scenarios at bare and vegetated soils using two eddy covariance systems.
Journal ArticleDOI

Modelled atmospheric contribution to nitrogen eutrophication in the English Channel and the southern North Sea

TL;DR: A Lagrangian Particle Dispersion (LPD) model based on the open source code FLEXPART (http://flexpart.eu) is described that quantifies the dissolved nitrogen coming from the air in the English Channel and Southern North Sea (the ‘2Seas’ geographical region) as discussed by the authors.
Journal ArticleDOI

A Wind Tunnel and Numerical Investigation of Turbulent Dispersion in Coastal Atmospheric Boundary Layers

TL;DR: In this paper, the authors present a set of wind tunnel observations and examine the performance of a Lagrangian stochastic model for particle diffusion in onshore air flows, and show that uncertainty in velocity skewness to the extent of observational scatter does not seem to have a significant influence on pollutant dispersion, while uncertainties in turbulence intensity significantly influence the dispersion pattern.
Journal ArticleDOI

On concentration footprints for a tall tower in the presence of a nocturnal low-level jet

TL;DR: In this article, the location of sources contributing to a point concentration measurement in the stable boundary layer is investigated using a backward-in-time Lagrangian stochastic dispersion model.
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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