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.
CITATION STYLE
Pavliotis, G. A., Stuart, A. M., & Band, L. (2006). Monte Carlo Studies of Effective Diffusivities for Inertial Particles. In Monte Carlo and Quasi-Monte Carlo Methods 2004 (pp. 431–441). Springer-Verlag. https://doi.org/10.1007/3-540-31186-6_26
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