 Numerical validation of an upscaled sharp–diffuse interface model for stratified miscible flowsL. Cherfils, C. Choquet and M.M. Diédhiou Mathematics and Computers in Simulation (MATCOM), 2017, vol. 137, issue C, 246-265 Abstract: A new model based on a mixed sharp and diffuse interface approach has been derived recently for miscible stratified displacements in porous media. It is an upscaled two-dimensional model tracking the interfaces between the fluid layers. The aim of the paper is to compare numerically the results provided by this upscaled model with the ones obtained using the classical three-dimensional model for miscible and compressible displacements in slightly deformable porous media. We construct for each model a numerical scheme based on a Euler semi-implicit method for the time discretization coupled with a mixed finite element approach for the space discretization. For the numerical simulations we focus on the example of the pollution of an aquifer. Computations are provided for various settings, especially when the flow is not quasi-horizontal. Keywords: Stratified miscible displacement; Porous medium; System of strongly coupled partial differential equations; Mixed finite element method; Numerical simulations (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:137:y:2017:i:c:p:246-265 DOI: 10.1016/j.matcom.2016.10.010 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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