Numerical simulations for a two-scale model in a porous medium
H. Sh. Mahato · Numerical Analysis and Applications · 2017
This paper deals with the numerical simulations of a system of diffusion-reaction equations in the context of a porous medium. We start by giving a microscopic model and then the upscaled version (i.e., homogenized or continuum model) of it from the previous works of the author. Since with the help of homogenization we obtain the macroscopic description of amodel that is microscopically heterogeneous, via these numerical simulations, we show that this macroscopic description approximates the microscopicmodel, which contains the heterogeneities and oscillating terms at the pore scale such as diffusion coefficients.