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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

Concentration profiles in a turbulent suspension when gravity is not affecting deposition

TL;DR: An idealized representation of the dispersed flow in a fully-developed annular pattern is considered for the case of zero gravitational effects in this paper, where the walls of a two-dimensional channel are represented as presenting arrays of infinitesimal particle sources.

An Operational Implementation of a CBRN Sensor-Driven Modeling Paradigm for Stochastic Event Reconstruction

E Yee
TL;DR: The application of the methodology implemented in urbanSOURCE is illustrated using real dispersion data obtained from two examples involving contaminant dispersion in highly disturbed flows over urban and complex environments, where the idealizations of horizontal homogeneity and/ or temporal stationarity in the flow cannot be applied to simplify the problem.
Journal ArticleDOI

An advanced puff model based on a mixed Eulerian/Lagrangian approach for turbulent dispersion in the convective boundary layer

TL;DR: In this article, an advanced model aimed at describing the problem of dispersion in the convective boundary layer is proposed, where pollutant particles are groupedin clusters and modelled as Gaussian puffs.
Journal ArticleDOI

Probability density function propagation model for turbulent particle dispersion

TL;DR: In this article, a probability density function propagation approach to dispersion modeling is presented, which calculates the instantaneous spatial spread about the ensemble-mean trajectory for a group of particles as they move in the Lagrangian reference frame and thus it precludes the need to generate large numbers of individual particle trajectories to represent the particle phase.
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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