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Inertial Particles in a Random Field

Sigurgeirsson, H. and Stuart, A. M. (2002) Inertial Particles in a Random Field. Stochastics and Dynamics, 02 (02). pp. 295-310. ISSN 1793-6799. doi:10.1142/S021949370200042X. https://resolver.caltech.edu/CaltechAUTHORS:20170612-073927763

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Abstract

The motion of an inertial particle in a Gaussian random field is studied. This is a model for the phenomenon of preferential concentration, whereby inertial particles in a turbulent flow can correlate significantly. Mathematically the motion is described by Newton's second law for a particle on a 2-D torus, with force proportional to the difference between a background fluid velocity and the particle velocity itself. The fluid velocity is defined through a linear stochastic PDE of Ornstein–Uhlenbeck type. The properties of the model are studied in terms of the covariance of the noise which drives the stochastic PDE. Sufficient conditions are found for almost sure existence and uniqueness of particle paths, and for a random dynamical system with a global random attractor. The random attractor is illustrated by means of a numerical experiment, and the relevance of the random attractor for the understanding of particle distributions is highlighted.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1142/S021949370200042XDOIArticle
http://www.worldscientific.com/doi/abs/10.1142/S021949370200042XPublisherArticle
Additional Information:© 2002 World Scientific Publishing Company. Received: 5 April 2002. Revised: 15 May 2002. We are grateful to John Eaton, David Elworthy and Jerzy Zabczyk for helpful advice and suggestions. H.S. was supported by the Department of Energy under the ASCI program. A.M.S. was supported by the Engineering and Physical Sciences Research Council of the UK.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)UNSPECIFIED
Engineering and Physical Sciences Research Council (EPSRC)UNSPECIFIED
Subject Keywords:Inertial particles; Ornstein–Uhlenbeck process; random velocity field; preferential concentration
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Andrew StuartJ54
Issue or Number:02
Classification Code:AMSC: 37H10, 37M25, 60H15, 60H35
DOI:10.1142/S021949370200042X
Record Number:CaltechAUTHORS:20170612-073927763
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170612-073927763
Official Citation:INERTIAL PARTICLES IN A RANDOM FIELD H. SIGURGEIRSSON and A. M. STUART Stochastics and Dynamics 2002 02:02, 295-310
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78083
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:12 Jun 2017 16:18
Last Modified:15 Nov 2021 17:36

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