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

Jie Chen; Shuyu Sun; Xiao Ping 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, Xiao Ping Wang^*

^*Corresponding author for this work

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

64 Citations (Scopus)

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.

Original language	English
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
Publication status	Published - 1 Jul 2014
Externally published	Yes

Keywords

Darcy's law
Porous media
Robin-Robin domain decomposition
Two phase flow

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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.",

keywords = "Darcy's law, Porous media, Robin-Robin domain decomposition, Two phase flow",

author = "Jie Chen and Shuyu Sun and Wang, {Xiao Ping}",

note = "Funding Information: 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. ",

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AU - Chen, Jie

AU - Sun, Shuyu

AU - Wang, Xiao Ping

N1 - Funding Information: 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 - 2014/7/1

Y1 - 2014/7/1

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.

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.

KW - Darcy's law

KW - Porous media

KW - Robin-Robin domain decomposition

KW - Two phase flow

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DO - 10.1016/j.jcp.2014.02.043

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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

Keywords

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