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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

Detecting regime transitions of the nocturnal and Polar near-surface temperature inversion

TL;DR: In this paper, a combination of methods from dynamical systems and statistical modeling is applied to study these regime transitions and to develop an early warning signal that can be applied to nonstationary field data.
Journal ArticleDOI

Dispersion de particules solides en mouvement de saltation dans un écoulement turbulent

TL;DR: Aguirre et al. as discussed by the authors studied the dispersion of solides en mouvement de saltation dans une turbulence homogene and dans a couche limite turbulente.
Journal ArticleDOI

Concentration fluctuations and relative dispersion PDF

TL;DR: In this paper, the relative dispersion of particle pairs released in a homogeneous isotropic stationary turbulent field is considered in a one-dimensional two-particle Lagrangian stochastic model.
Journal ArticleDOI

A lagrangian stochastic model for particle trajectories in non-gaussian turbulent flows

TL;DR: In this article, a Lagrangian stochastic model is developed for the simulation of particle trajectories within inhomogeneous turbulent flows, which is exactly consistent with Thomson's well-mixed condition.
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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