Moving away from macroscopic modelling of of transport processes in porous media: two-scale approaches and their applications
Résumé
A classic approach for modeling transport phenomena in heterogeneous media is to adopt a larger macroscopic scale of description, where the transport is assumed to be smooth in space and time. However, because non-equilibrium effects at the scale of the heterogeneities (micro-scale) are not accounted for, the macroscopic approach fails in some configurations where both scales have to be considered simultaneously. This paper outlines two popular two-scale approaches for such configurations. For each approach, numerical simulations highlighting the capabilities of the model are presented for an example problem, including low temperature drying of softwood and water flow in heterogeneous materials.
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