A numerical method for a model of two-phase flow in a coupled free flow and porous media system

Type
Article
Authors
Chen, Jie
Sun, Shuyu cc
Wang, Xiaoping
KAUST Department
Computational Transport Phenomena Lab
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Earth Science and Engineering Program
Environmental Science and Engineering Program
Physical Science and Engineering (PSE) Division
KAUST Grant Number
SA-C0040/UK-C0016
Date
2014-07
Permanent link to this record
http://hdl.handle.net/10754/563000

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Abstract
In this article, we study two-phase fluid flow in coupled free flow and porous media regions. The model consists of coupled Cahn-Hilliard and Navier-Stokes equations in the free fluid region and the two-phase Darcy law in the porous medium region. We propose a Robin-Robin domain decomposition method for the coupled Navier-Stokes and Darcy system with the generalized Beavers-Joseph-Saffman condition on the interface between the free flow and the porous media regions. Numerical examples are presented to illustrate the effectiveness of this method. © 2014 Elsevier Inc.
Citation
Chen, J., Sun, S., & Wang, X.-P. (2014). A numerical method for a model of two-phase flow in a coupled free flow and porous media system. Journal of Computational Physics, 268, 1–16. doi:10.1016/j.jcp.2014.02.043
Sponsors
This publication was based on work supported in part by Award No. SA-C0040/UK-C0016, made by King Abdullah University of Science and Technology (KAUST), the Hong Kong RGC-GRF Grants 605311 and 605513. The work is also supported by the project entitled "The Modeling and Simulation of Two-Phase Flow in Porous Media: From Pore Scale to Darcy Scale" funded by KAUST's GRP-CF (Global Research Partnership Collaborative Fellows) Program.
Publisher
Elsevier BV
Journal
Journal of Computational Physics
DOI
10.1016/j.jcp.2014.02.043
Collections
Articles; Environmental Science and Engineering Program; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division