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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

Micro-Mixing Modelling of Scalar Fluctuations for Plumes in Homogeneous Turbulence

TL;DR: In this paper, the IECM model is compared with the Langevin model for particle trajectories to make detailed predictions of statistics of the concentration field downstream of line sources in grid turbulence and compare these predictions with suitable laboratory data.
Journal ArticleDOI

Modelling the discrimination of 13CO2 above and within a temperate broad-leaved forest canopy on hourly to seasonal time scales

TL;DR: In this article, a biophysical model, CANOAK, was adapted to compute concentration profiles and fluxes of 13CO2 within and above a temperate deciduous forest (Walker Branch Watershed, Tennessee, USA).
Journal ArticleDOI

Mixing in Shallow Cumulus Clouds Studied by Lagrangian Particle Tracking

TL;DR: In this paper, the origin of in-cloud air is studied by two distinct methods: 1) by analyzing conserved variable mixing diagrams (Paluch diagrams) and 2) by tracing back cloud-air parcels represented by massless Lagrangian particles that follow the flow.
Journal ArticleDOI

Computational modeling of gas-liquid flow in bubble columns

TL;DR: In this paper, a review of the computational fluid dynamics (CFD) modeling efforts and concepts in connection with buoyancy driven gas-liquid flows in bubble columns is presented, and the issues associated with the interfacial momentum transfer and multiphase turbulence are discussed.
Book

Footprints in Micrometeorology and Ecology

TL;DR: In this article, the authors describe the history and definition of footprints, surface layer properties and parameterizations, and classification of footprint models, as well as the application of footprints to different measurement techniques.
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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