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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

Footprints in Homogeneously and Heterogeneously Driven Boundary Layers Derived from a Lagrangian Stochastic Particle Model Embedded into Large-Eddy Simulation

TL;DR: In this article, a Lagrangian stochastic (LS) model is used for dispersion and footprint evaluations. But the model is not suitable for large-eddy simulations, and it cannot handle large-scale turbulence.
Journal ArticleDOI

Kolmogorov similarity scaling for one-particle Lagrangian statistics

TL;DR: In this article, the authors used direct numerical simulation data up to a Taylor scale Reynolds number to investigate Kolmogorov similarity scaling in the inertial sub-range for one-particle Lagrangian statistics.
Journal ArticleDOI

The velocity distribution of barotropic turbulence

TL;DR: In this article, the statistical properties of the velocity and velocity gradient distributions in barotropic turbulence have been studied and shown to be non-Gaussian inside coherent vortices, due to the spatial velocity correlations associated with the ordered flow in the vortex cores.
Journal ArticleDOI

Larval trophodynamics, turbulence, and drift on Georges Bank: A sensitivity analysis of cod and haddock

TL;DR: It is found that search behaviour, the effect of turbulence on pursuit and capture, and vertical dispersion decrease the predicted larval growth rates compared to those observed in the earlier study, suggesting that larval feeding behaviour, and especially the ability of larvae to pursue encountered prey, could be an important input to larv growth and survival models.
Journal ArticleDOI

Pollutant dispersion close to an urban surface – the BUBBLE tracer experiment

TL;DR: In this article, the first results of an urban tracer experiment are reported, which was realized in the framework of the Basel UrBan Boundary-Layer Experiment (BUBBLE) in an area with abundant information on turbulence and flow conditions available.
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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