Monte Carlo Studies of Effective Diffusivities for Inertial Particles
Monte Carlo Studies of Effective Diffusivities for Inertial Particles
复制标题
惯性粒子有效扩散率的蒙特卡罗研究
DOI：
10.1007/3-540-31186-6_26
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
A. Stuart
中科院分区：
文献类型：
--
作者：
G. Pavliotis;A. Stuart
通过直接数值模拟研究了不可压缩流中惯性颗粒的输运和分子扩散。在最近的工作中[9，15]表明，惯性粒子的长时间行为，在周期性速度场中和存在分子扩散的情况下，其运动受斯托克斯定律支配，是扩散的。有效扩散率是通过一个退化椭圆型偏微分方程的解来定义的。本文研究了一类二维周期性不可压缩流动的有效扩散系数对问题的无量纲参数以及流线拓扑的依赖性。
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.