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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

Preferential Deposition of Snow and Dust Over Hills: Governing Processes and Relevant Scales

TL;DR: In this paper, a comprehensive modeling approach is developed, based on large eddy simulations of the turbulent airflow, Lagrangian stochastic model of particle trajectories, and immersed boundary method to represent the underlying topography.
Journal ArticleDOI

One-particle two-time diffusion in three-dimensional homogeneous isotropic turbulence

TL;DR: In this paper, a model of turbulence based on a summation of Fourier modes with an imposed turbulent energy spectrum, E(k)∼k−p, is used to investigate the characteristics of one-particle diffusion in turbulent flow.
Journal ArticleDOI

Atmospheric dispersion using a Lagrangian stochastic approach: Application to an idealized urban area under neutral and stable meteorological conditions

TL;DR: In this paper, an adaptation of the Lagrangian stochastic dispersion model of the computational fluid dynamics (CFD) open source code Code_Saturne is presented to simulate atmospheric dispersion of pollutants in complex urban geometries or around industrial plants.
Journal ArticleDOI

Evaluation of mean concentration and fluxes in turbulent flows by Lagrangian stochastic models

TL;DR: In this article, forward and backward stochastic Lagrangian trajectory simulation methods for calculation of the mean concentration of scalars and their fluxes for sources arbitrarily distributed in space and time are constructed and justified.
Journal ArticleDOI

A Lagrangian Stochastic Model for Sea-Spray Evaporation in the Atmospheric Marine Boundary Layer

TL;DR: In this paper, the authors present an adaptation of traditional Lagrangian stochastic models to the atmospheric marine boundary layer with a particular focus on the representation of the scalar turbulence for temperature and humidity.
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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