Monte Carlo Studies of Effective Diffusivities for Inertial Particles

G.A. Pavliotis (), A.M. Stuart () and L. Band ()
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G.A. Pavliotis: Imperial College London, Department of Mathematics
A.M. Stuart: Warwick University, Mathematics Institute
L. Band: University of Nottingham, University Park, School of Mathematical Sciences

A chapter in Monte Carlo and Quasi-Monte Carlo Methods 2004, 2006, pp 431-441 from Springer

Abstract: Summary 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.

Keywords: Direct Numerical Simulation; Inertial Particle; Monte Carlo Study; Stokes Number; Passive Tracer (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-31186-7_26

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DOI: 10.1007/3-540-31186-6_26

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