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 | |||||||||
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| 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. | |||||||||
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| Subject Keywords: | Inertial particles; Ornstein–Uhlenbeck process; random velocity field; preferential concentration | |||||||||
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| 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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