Multi-scale study of diffusion in composite grain–pore systems based on particles random walk

Hamza Oukili,Gérald Debenest,Rachid Ababou,Benoît Noetinger

doi:10.5802/crmeca.94

Abstract

Multi-scale study of diffusion in composite grain–pore systems based on particles random walk

Highlights

Transport processes occurs in many fields of science including, mass or heat transfer problem, for instance
We develop a new algorithm, using the random walk particle tracking (RWPT) method, based on two-dimensional (2D)/three dimensional (3D) analytical solutions in finite and semi-infinite domains with zero-flux boundary conditions (BC)
This section analyzes the results of simulations of diffusion of an initial source inside the pores of a composite media pore/grain

Summary

Introduction

Transport processes occurs in many fields of science including, mass or heat transfer problem, for instance. In particular, are important in transport phenomena, either directly (solute diffusion, heat diffusion, pressure diffusion) or indirectly (when the local hydrodynamic dispersion of transported quantities is modeled as a diffusion-type process on a larger scale). Treating such problems in physics could be challenging, in the case of spatially variable or discontinuous transport properties. A review on multi-scale methods [7] has shown that homogenization still faces many challenges Another recent study has shown some improvements by using different levels of upscaling in modeling flow transport in fractured media [8]. The random walk particle methods have been used to obtain probability results on self-avoiding Random Walks where the “particles” cannot cross their own path [10]

Methods

Results

Discussion

Conclusion