A diffuse interface model and fully decoupled, energy-stable scheme for the two-phase ferrofluid flows in porous media
Rattachement africain : cn, us. Niveau de preuve : code pays fourni par la source.
Le résumé fourni par la source
We propose a new diffuse interface model for two-phase porous media ferrofluid flows, employing the phase-field method and establishing an associated energy law. This thermodynamically consistent multi-physics model integrates the Cahn-Hilliard equations, Darcy equations, the magnetostatic equation, and magnetization equations. To efficiently solve the system by addressing its inherent nonlinearities, coupling, and saddle-point structure, we incorporate several advanced techniques, including the SAV-ZEC method to handle nonlinearities and couplings, a reformulated approach to decouple the linear coupling of the magnetic potential and magnetization, and the pressure projection method to decouple velocity and pressure. This results in a numerical scheme that is linear, fully decoupled, second-order accurate in time, and unconditionally energy stable, effectively transforming the complex system into a series of elliptic problems. Compared with the existing works for the two-phase free ferrofluid flows, one major difficulty for both the modeling and algorithm development in this work arises from the different function space used for the Darcy equation, which is addressed by several novel techniques. We also prove the unconditional energy stability and unique solvability of the scheme. Through a series of 2D and 3D numerical experiments, we verify the stability and accuracy of the proposed scheme, and then demonstrate the model’s ability to capture fundamental phenomenological features of two-phase porous ferrofluids, such as the Saffman-Taylor fingering instability.
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Le contrôle bibliographique ouvert
DOI retrouvé dans Crossref DOI retrouvé ; titre concordant.
- Titre Crossref
- A diffuse interface model and fully decoupled, energy-stable scheme for the two-phase ferrofluid flows in porous media
- Date Crossref
- 01/03/2026
- Éditeur
- Elsevier BV
- Type
- journal-article
Ce recoupement confirme des métadonnées liées au DOI. Il ne confirme ni la méthode ni les conclusions de l’étude, et il ne compte pas comme une seconde source scientifique indépendante.
Où se fait cette recherche
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Yantai University pays non établi dans la noticeUniversité ou école supérieure
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Xiangtan University National Center for Applied Mathematics in Hunan pays non établi dans la noticeUniversité ou école supérieure
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Missouri University of Science and Technology pays non établi dans la noticeUniversité ou école supérieure
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University of South Carolina Department of Mathematics pays non établi dans la noticeUniversité ou école supérieure
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School of Mathematics and Information Sciences pays non établi dans la noticeUniversité ou école supérieure
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Missouri University of Science & Technology Department of Mathematics pays non établi dans la noticeUniversité ou école supérieure
Yantai University, National Center for Applied Mathematics in Hunan — Xiangtan University et Missouri University of Science and Technology, avec 3 autres affiliations.
Une affiliation ne permet pas de déduire la nationalité d’un auteur.