 Adaptive mesh refinement for flow and transport problem in heterogeneous porous mediaHanen Amor and Fayssal Benkhaldoun Mathematics and Computers in Simulation (MATCOM), 2026, vol. 239, issue C, 766-789 Abstract: This paper presents an adaptive mesh refinement strategy for modeling the flow and transport of contaminants in porous media. These phenomena are modeled by a system of equations that combine Darcy’s law and the diffusion-convection equation. A combined finite volume and finite element discretization is used to discretize the coupled system. A guaranteed a posteriori error estimator, derived from an H(div)-conforming flux reconstruction, is computed and followed by an appropriate method of local refinement and coarsening of mesh elements in two and three dimension to minimize the difference between a discretized solution and a continuous solution in the context of industrial applications. The method is implemented within the MELODIE software developed by the ASNR in order to assess the safety of a deep geological disposal for radioactive waste, and is illustrated through a realistic application of flow and transport in heterogeneous porous media. Keywords: Adaptive mesh refinement; FVFE method; Porous media; Radioactive waste (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:239:y:2026:i:c:p:766-789 DOI: 10.1016/j.matcom.2025.06.020 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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