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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

Measured and modelled wind variation over irregularly undulating terrain

TL;DR: In this article, the steadystate, Reynolds-averaged momentum equations, with a simple eddy viscosity closure, are solved numerically to compute the spatial variation in surface-layer mean windspeed over irregular, gently rolling terrain.
Dissertation

Constraining sources of atmospheric trace constituents with Lagrangian particle dispersion modeling

TL;DR: In this article, a Lagrangian particle dispersion model was used to constrain sources of atmospheric trace constituents with a Bayesian inversion method, and a new method was introduced to a class of similar problems where established methods are not applicable.
Dissertation

Methods for observation and quantification of trace gas emissions from diffuse sources

Arjan Hensen
TL;DR: Hensen et al. as mentioned in this paper used closed path eddy correlation and relaxed eddy accumulation measurements of CO2 fluxes over grassland on peat soil from April to October 1994.

Numerical methods for Langevin type equations based on symplectic integrators

TL;DR: In this article, mean-square and weak quasi-symplectic methods for Langevin type equations degenerate to symplectic methods when a system degenerates to a stochastic Hamiltonian one.
Journal ArticleDOI

Characteristics and similarity relations of turbulence dispersion parameters under heavy haze conditions

TL;DR: In this article, the similarity relations of key turbulence dispersion parameters in the Lagrangian dispersion models, including the turbulent standard deviations, high-order moments (the third and fourth moments), and integral time scales for longitudinal, lateral, and vertical wind velocity components during heavy haze days in downtown Beijing, China were analyzed in the framework of local similarity theory, which is commonly used in studies of urban turbulence.
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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