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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

Non-Gaussian Velocity Probability Density Functions: An Altimetric Perspective of the Mediterranean Sea

TL;DR: In this paper, a topological partition of the flow based on the Okubo-Weiss parameter is applied to separate the contribution of coherent vortices from the background field, and the non-Gaussian part of the PDF appears mostly associated with the presence of such structures.

Formulation of and numerical studies with the Dutch Atmospheric Large-Eddy Simulation (DALES)

TL;DR: This discussion paper is/has been under review for the journal Geoscientific Model Development (GMD) and Please refer to the corresponding final paper in GMD if available.
Journal ArticleDOI

A fluctuating plume model for concentration fluctuations in a plant canopy

TL;DR: In this article, a one-particle Lagrangian model for continuous releases in the non-Gaussian inhomogeneous turbulence of a canopy layer is derived based on the fluctuating plume model of Franzese.
Journal ArticleDOI

Particles in motion: How turbulence affects plankton sedimentation from an oceanic mixed layer

TL;DR: In this paper, the same turbulence model was used to investigate whether or not turbulence inhibits the rate of sedimentation through the oceanic surface mixed layers (SML), and the results from previous studies have shown that turbulence can both retard and accelerate particle settling.
Journal ArticleDOI

On Fokker–Planck Equations for Turbulent Reacting Flows. Part 1. Probability Density Function for Reynolds-Averaged Navier–Stokes Equations

TL;DR: In this paper, a stochastic model for velocities where the relaxation frequency depends on the actual fluctuation is presented. And the model predictions are shown to be in excellent agreement with the results of the direct numerical simulation of scalar mixing in stationary, homogeneous and isotropic turbulence.
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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