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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

A review of dispersion modelling and its application to the dispersion of particles : An overview of different dispersion models available

TL;DR: A review of the application of atmospheric models for particle dispersion can be found in this article, where the suitability of the different approaches to dispersion modelling within different environments, in regards to scale, complexity of the environment and concentration parameters is assessed.
Journal ArticleDOI

An approximate analytical model for footprint estimation of scalar fluxes in thermally stratified atmospheric flows

TL;DR: In this article, an approximate analytical model was developed to estimate scalar flux footprint in thermally stratified atmospheric surface layer flows based on a combination of Lagrangian stochastic dispersion model results and dimensional analysis.
Journal ArticleDOI

Lagrangian statistics from direct numerical simulations of isotropic turbulence

TL;DR: In this paper, a comprehensive study of the Lagrangian statistics of velocity, acceleration, dissipation and related quantities, in isotropic turbulence, is reported, including velocity and acceleration autocorrelations and spectra; probability density functions (p.d.'s) and moments of Lagrangians velocity increments; and other velocity-gradient invariants.
Journal ArticleDOI

A simple two-dimensional parameterisation for Flux Footprint Prediction (FFP)

TL;DR: In this article, a two-dimensional footprint model for flux footprint prediction is proposed. But it is not suitable for application to long time series, due to their high computational demands.
Book

Computational Flow Modeling for Chemical Reactor Engineering

TL;DR: Flow Modeling for Reactor Engineering and Flow Modeling and Applications, a meta-modelling guide to reactor engineering and flow modeling, and applications for reactor design and engineering.
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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