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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

Gaseous deposition contributes to the contamination of surface waters by pesticides close to treated fields. A process-based model study.

TL;DR: Deposition curves are proposed, as a base for a new tool to assess the contribution of gaseous deposition to nontarget ecosystem contamination, by running process-based models adapted for pesticides.
Journal ArticleDOI

A heuristic Lagrangian stochastic particle model of relative diffusion: model formulation and preliminary results

Shuming Du
TL;DR: In this article, a new method is proposed to calculate two-particle statistics of turbulent diffusion in complex flows, which is a combination of a singleparticle Lagrangian stochastic model and a twoparticle model applicable to isotropic turbulence.
Journal ArticleDOI

Comparison of Experimental and Computational Particle Trajectories in a Stirred Vessel

TL;DR: In this paper, a particle trajectory in a turbulent flow is measured by a 3D tracking technique and compared with the pattern calculated by a Lagrangian model, and the reliability of the numerical trajectory is proved.
Journal ArticleDOI

An application of Lagrangian stochastic modelling to dispersion during shoreline fumigation

TL;DR: In this article, a Lagrangian stochastic model was applied to describe the dispersion of contaminants during a shoreline fumigation, where mixed layer scaling was applied and the model dimensionless near-surface cross-wind integrated concentrations (C y ) together with the concentration contour plots, were calculated for slow and fast entrainment rates.
Journal ArticleDOI

Influence of Eulerian and Lagrangian scales on the relative dispersion properties in Lagrangian stochastic models of turbulence

TL;DR: The quantity g*=g/C(0) and the temporal extension of the t(3) regime are found to be strongly dependent on the value adopted for beta, which represents the ratio between the Lagrangian and 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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