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
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Journal ArticleDOI
A practical, hybrid model for predicting the trajectories of near-surface ocean drifters
TL;DR: In this paper, a hybrid Lagrangian-Eulerian model for calculating the trajectories of near-surface drifters in the ocean is developed, which employs climatological, near surface currents computed from a spline fit of available drifter velocities observed in the Pacific Ocean between 1988 and 1996.
Journal ArticleDOI
On the application of Thomson's random flight model to the prediction of particle dispersion within a ventilated airspace
TL;DR: In this article, it is suggested that the skewness of the turbulent velocity fluctuations is of secondary importance in determining particle dispersion in highly inhomogeneous turbulent flows, compared to the effects of strong mean streamline straining and large gradients in Reynolds stress.
Journal ArticleDOI
Stochastic vortex structure method for modeling particle clustering and collisions in homogeneous turbulence
Kyle Sala,Jeffrey S. Marshall +1 more
TL;DR: In this article, a stochastic vortex structure (SVS) model is proposed for simulation of particle clustering and collisions in turbulent flows, and a new measure for particle drift relative to the fluid velocity is proposed that is related to the cross product of the fluid acceleration and velocity fields.
Journal ArticleDOI
Coupling mixing and photophysiological response of Antarctic plankton: a Lagrangian approach
TL;DR: Simulated photosynthetic parameters, chlorophyll a concentrations and integrated primary production correspond closely to in situ data and confirm that photoacclimation to low irradiance and strong mixing regimes may be considered as crucial factors in the photosynthesis performance of Antarctic phytoplankton.
Journal ArticleDOI
The geometry of inertial particle mixing in urban flows, from deterministic and random displacement models
TL;DR: In this paper, Lagrangian measures are used to characterize transport patterns of inertial pollutant particles formed in urban flows, and the change in organizing structures due to “zeroth-order” random noise is examined.
References
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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.