Mofdi El-Amrani
An iterative scheme for solving a coupled Darcy–convection–diffusion model
El-Amrani, Mofdi; Salhi, Loubna; Seaid, Mohammed; Yakoubi, Driss
Abstract
We present an iterative scheme for the numerical analysis of a class of coupled Darcy-convection-diffusion problems modelling flow and heat transfer in porous media. The governing equations consist of the Darcy equations for the flow coupled to a convection-diffusion equation for heat transfer with nonlinear viscosity and diffusion coefficient depending on the temperature. Existence and uniqueness of the weak solution for the considered problem are first analyzed using a fixed-point method and then convergence study of two iterative schemes for the fixed-point algorithm is presented. Two numerical examples are selected to validate the theoretical estimates and to demonstrate the performance of the proposed algorithm. The obtained results support our theoretical expectations for a good numerical convergence with the developed estimates.
Citation
El-Amrani, M., Salhi, L., Seaid, M., & Yakoubi, D. (2023). An iterative scheme for solving a coupled Darcy–convection–diffusion model. Journal of Mathematical Analysis and Applications, 517(2), Article 126603. https://doi.org/10.1016/j.jmaa.2022.126603
Journal Article Type | Article |
---|---|
Acceptance Date | Aug 10, 2022 |
Online Publication Date | Aug 24, 2022 |
Publication Date | Jan 15, 2023 |
Deposit Date | Apr 5, 2023 |
Publicly Available Date | Oct 30, 2024 |
Journal | Journal of Mathematical Analysis and Applications |
Print ISSN | 0022-247X |
Electronic ISSN | 1096-0813 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 517 |
Issue | 2 |
Article Number | 126603 |
DOI | https://doi.org/10.1016/j.jmaa.2022.126603 |
Public URL | https://durham-repository.worktribe.com/output/1177641 |
Files
Accepted Journal Article
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Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/
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