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

Jie Chen; Shuyu Sun; Xiaoping Wang

doi:10.1016/j.jcp.2014.02.043

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

Jie Chen, Shuyu Sun, Xiaoping Wang

Research output: Contribution to journal › Article › peer-review

65 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1-16
Number of pages	16
Journal	Journal of Computational Physics
Volume	268
DOIs	https://doi.org/10.1016/j.jcp.2014.02.043
State	Published - Jul 2014

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)
Computer Science Applications

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10.1016/j.jcp.2014.02.043

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

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. {\textcopyright} 2014 Elsevier Inc.",

author = "Jie Chen and Shuyu Sun and Xiaoping Wang",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): SA-C0040/UK-C0016 Acknowledgements: 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.",

year = "2014",

month = jul,

doi = "10.1016/j.jcp.2014.02.043",

language = "English (US)",

volume = "268",

pages = "1--16",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

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T1 - A numerical method for a model of two-phase flow in a coupled free flow and porous media system

AU - Chen, Jie

AU - Sun, Shuyu

AU - Wang, Xiaoping

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): SA-C0040/UK-C0016 Acknowledgements: 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.

PY - 2014/7

Y1 - 2014/7

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/563000

UR - https://linkinghub.elsevier.com/retrieve/pii/S0021999114001697

UR - http://www.scopus.com/inward/record.url?scp=84896485692&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2014.02.043

DO - 10.1016/j.jcp.2014.02.043

M3 - Article

SN - 0021-9991

VL - 268

SP - 1

EP - 16

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

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

Abstract

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