English

Corrector estimates and numerical simulations of a system of diffusion-reaction-dissolution-precipitation model in a porous medium

Analysis of PDEs 2023-09-27 v2

Abstract

A system of diffusion-reaction equations coupled with a dissolution-precipitation model is discussed. We start by introducing a microscale model together with its homogenized version. In the present paper, we first derive the corrector result to justify the obtained theoretical results. Furthermore, we perform the numerical computations to compare the outcome of the effective model with the original heterogeneous microscale model.

Keywords

Cite

@article{arxiv.2208.08653,
  title  = {Corrector estimates and numerical simulations of a system of diffusion-reaction-dissolution-precipitation model in a porous medium},
  author = {Nibedita Ghosh and Hari Shankar Mahato},
  journal= {arXiv preprint arXiv:2208.08653},
  year   = {2023}
}

Comments

17 pages, 23 figures