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Monte Carlo Studies of Effective Diffusivities for Inertial Particles

Pavliotis, G. A. and Stuart, A. M. and Band, L. (2006) Monte Carlo Studies of Effective Diffusivities for Inertial Particles. In: Monte Carlo and Quasi-Monte Carlo Methods 2004. Springer , New York, NY, pp. 431-441. ISBN 978-3-540-25541-3. https://resolver.caltech.edu/CaltechAUTHORS:20170613-140425580

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Abstract

The transport of inertial particles in incompressible flows and subject to molecular diffusion is studied through direct numerical simulations. It was shown in recent work [9, 15] that the long time behavior of inertial particles, with motion governed by Stokes’ law in a periodic velocity field and in the presence of molecular diffusion, is diffusive. The effective diffusivity is defined through the solution of a degenerate elliptic partial differential equation. In this paper we study the dependence of the effective diffusivity on the non-dimensional parameters of the problem, as well as on the streamline topology, for a class of two dimensional periodic incompressible flows.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://dx.doi.org/10.1007/3-540-31186-6_26DOIArticle
https://link.springer.com/book/10.1007/3-540-31186-6#aboutPublisherArticle
Additional Information:© 2006 Springer-Verlag Berlin Heidelberg.
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Andrew StuartC10
Record Number:CaltechAUTHORS:20170613-140425580
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170613-140425580
Official Citation:Pavliotis G., Stuart A., Band L. (2006) Monte Carlo Studies of Effective Diffusivities for Inertial Particles. In: Niederreiter H., Talay D. (eds) Monte Carlo and Quasi-Monte Carlo Methods 2004. Springer, Berlin, Heidelberg
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78172
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:13 Jun 2017 21:43
Last Modified:03 Oct 2019 18:06

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