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

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    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
    
    Metadata
    Show full item record
    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
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.jcp.2014.02.043
    Scopus Count
    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

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