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Article Dans Une Revue Advances in Water Resources Année : 2023

Upscaled model for the diffusion/heterogeneous reaction in porous media: Boundary layer problem

Résumé

Multi-species diffusion/heterogeneous reaction coupled problem in porous media involving a boundary layer problem is studied. The spectral approach developed in our previous work allows to derive a macroscopic model in the high Damköhler number regime combining homogenization technique and spectral approach. Such a homogenized model cannot describe the perturbation at the external boundary where the chemical equilibrium is not necessarily satisfied. We construct herein a modified model involving additional variables, which are rapidly-decaying functions, to capture the complex physics in the boundary layer. Numerical simulations underline the accuracy of the proposed correction in both steady and transient states.
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hal-04244298 , version 1 (30-11-2023)

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Paternité - Pas d'utilisation commerciale

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Tien Dung Le, Christian Moyne, Mohamed Khaled Bourbatache, Olivier Millet. Upscaled model for the diffusion/heterogeneous reaction in porous media: Boundary layer problem. Advances in Water Resources, 2023, 179, pp.104500. ⟨10.1016/j.advwatres.2023.104500⟩. ⟨hal-04244298⟩
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