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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

Towards a new scheme for parametrisation of deep convection in NAME III

TL;DR: In this article, an updated scheme for parametrisation of atmospheric convection to be used in the MET OFFICE Atmospheric Dispersion Model (NAME III) is described, where the vertical transport of particles due to convection is represented in a 1-dimensional model based on a "mass-flux" approach.
Journal ArticleDOI

Estimating the diffusive heat flux across a stable interface forced by convective motions

TL;DR: In this article, the authors estimate the length and time scales associated with these convective cells by computing one-dimensional wavenumber and frequency kinetic energy spectra using a Taylor assumption.
Journal ArticleDOI

Lagrangian Micromixing Models for Concentration Fluctuations: An Overview

TL;DR: A brief overview of the main features, theoretical formulations and validation tests of some Lagrangian micromixing models, currently used for estimations of the ensemble mean and the turbulent fluctuations of concentration can be found in this article.

Modelling and Classifying Stochastically Episodic Events

TL;DR: This thesis proposes a flexible framework for the modelling and simulation of such events, as they propagate through a field of background noise, based on the exemplary scenario that is suggested by the verification of the Comprehensive Test-Ban-Treaty (CTBT).
Journal ArticleDOI

Shot noise multifractal model for turbulent pseudo-dissipation

TL;DR: In this article, a causal lognormal stochastic process is built to represent the dynamics of pseudo-dissipation in a Lagrangian trajectory, driven by a source of noise which has sudden jumps at periodic intervals, its period being the dissipative time scale of the flow.
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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