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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

Formulation of the Lagrangian particle model LAPMOD and its evaluation against Kincaid SF6 and SO2 datasets

TL;DR: In this article, the Lagrangian particle model LAPMOD is used for modeling time-variable emissions in atmosphere of inert and radioactive gases and aerosols, which can also use the meteorological input files produced with the AERMET meteorological processor of US-EPA recommended model AERMOD.

Stochastic modeling of snow transport and hydrologic response in alpine terrain

TL;DR: In this paper, a Lagrangian-stochastic model of particle dynamics, large-eddy simulations, and an immersed boundary method are combined to investigate the processes driving the heterogeneous snow distribution in alpine terrain.
Journal ArticleDOI

Numerical simulations of Asian dust events: A Lagrangian Dust Model and its applications

TL;DR: An uni-modal Lagrangian Dust Model (LDM) was developed to simulate the dust concentrations and source-receptor (SR) relationships for recent Asian dust events that occurred over the Korean Peninsula as mentioned in this paper.
Journal ArticleDOI

Parameterization of the Two-Point Velocity Correlation Function in a Two-Particle Lagrangian Stochastic Model and Its Effect on the Prediction of Concentration Variances due to a Line Source

TL;DR: In this article, a Lagrangian stochastic model is used to simulate temperature variances caused by a line source in an inhomogeneous wind-tunnel boundary layer.
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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