Journal ArticleDOI
Criteria for the selection of stochastic models of particle trajectories in turbulent flows
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.read more
Citations
More filters
Journal ArticleDOI
Advection of NH3 over a pasture field and its effect on gradient flux measurements
Benjamin Loubet,C. Milford,Arjan Hensen,U. Daemmgen,J.W. Erisman,Pierre Cellier,Mark A. Sutton +6 more
TL;DR: In this article, the authors compared two methods of estimating ΔFz,adv: one inference method based on measurements of horizontal concentration gradients, and one based on inverse dispersion modelling with a two-dimensional model.
Journal ArticleDOI
Geometry and violent events in turbulent pair dispersion
TL;DR: In this article, the authors investigated the statistics of Lagrangian pair dispersion in a homogeneous isotropic flow by means of direct numerical simulations, focusing on deviations from Richardson eddy-diffusivity model and in particular on the strong fluctuations experienced by tracers.
Journal ArticleDOI
Characterizing Ventilation and Exposure in Street Canyons Using Lagrangian Particles
K. W. Lo,Keith Ngan +1 more
TL;DR: In this article, the authors used a large-eddy simulation and a Lagrangian particle model to estimate the residence and exposure times for an idealized street canyon in the skimming-flow region and a deep street canyon within a realistic urban area.
Journal ArticleDOI
Stochastic theory of compressible turbulent fluid transport
TL;DR: In this article, a stochastic model for the turbulent transport of passive scalars based on the Fokker-Planck equation for the probability density distribution of the displacements of infinitesimal fluid parcels (particles) in random turbulent motion is developed.
Journal ArticleDOI
Sensitivity of Lagrangian Stochastic footprints to turbulence statistics
Mathias Göckede,Christoph Thomas,Tiina Markkanen,Matthias Mauder,Johannes Ruppert,Thomas Foken +5 more
TL;DR: In this article, the sensitivity of Lagrangian Stochastic footprint model to the turbulence statistics describing the flow field, with a focus on the within canopy processes, is investigated.
References
More filters
Journal ArticleDOI
An Introduction to Probability Theory and Its Applications.
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
Zeev Schuss,Robert O'Malley +1 more
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.