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Monte Carlo Studies of Effective Diffusivities for Inertial Particles

In: Monte Carlo and Quasi-Monte Carlo Methods 2004

Author

Listed:
  • 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)

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.

Suggested Citation

  • G.A. Pavliotis & A.M. Stuart & L. Band, 2006. "Monte Carlo Studies of Effective Diffusivities for Inertial Particles," Springer Books, in: Harald Niederreiter & Denis Talay (ed.), Monte Carlo and Quasi-Monte Carlo Methods 2004, pages 431-441, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-31186-7_26
    DOI: 10.1007/3-540-31186-6_26
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