Adaptive moving grid methods for two-phase flow in porous media

Hao Dong; Zhonghua Qiao; Shuyu Sun; Tao Tang

doi:10.1016/j.cam.2013.09.027

Adaptive moving grid methods for two-phase flow in porous media

Hao Dong, Zhonghua Qiao, Shuyu Sun, Tao Tang

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

13 Scopus citations

Abstract

In this paper, we present an application of the moving mesh method for approximating numerical solutions of the two-phase flow model in porous media. The numerical schemes combine a mixed finite element method and a finite volume method, which can handle the nonlinearities of the governing equations in an efficient way. The adaptive moving grid method is then used to distribute more grid points near the sharp interfaces, which enables us to obtain accurate numerical solutions with fewer computational resources. The numerical experiments indicate that the proposed moving mesh strategy could be an effective way to approximate two-phase flows in porous media. © 2013 Elsevier B.V. All rights reserved.

Original language	English (US)
Pages (from-to)	139-150
Number of pages	12
Journal	Journal of Computational and Applied Mathematics
Volume	265
DOIs	https://doi.org/10.1016/j.cam.2013.09.027
State	Published - Aug 2014

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The research of H. Dong and T. Tang is mainly supported by Hong Kong Research Council GRF Grants and Hong Kong Baptist University FRG grants. The research of Z. Qiao is partially supported by the Hong Kong RGC grant PolyU 2021/12P. S. Sun is partially supported by KAUST's GRP University Research Funds.

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2013.09.027

Cite this

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title = "Adaptive moving grid methods for two-phase flow in porous media",

abstract = "In this paper, we present an application of the moving mesh method for approximating numerical solutions of the two-phase flow model in porous media. The numerical schemes combine a mixed finite element method and a finite volume method, which can handle the nonlinearities of the governing equations in an efficient way. The adaptive moving grid method is then used to distribute more grid points near the sharp interfaces, which enables us to obtain accurate numerical solutions with fewer computational resources. The numerical experiments indicate that the proposed moving mesh strategy could be an effective way to approximate two-phase flows in porous media. {\textcopyright} 2013 Elsevier B.V. All rights reserved.",

author = "Hao Dong and Zhonghua Qiao and Shuyu Sun and Tao Tang",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: The research of H. Dong and T. Tang is mainly supported by Hong Kong Research Council GRF Grants and Hong Kong Baptist University FRG grants. The research of Z. Qiao is partially supported by the Hong Kong RGC grant PolyU 2021/12P. S. Sun is partially supported by KAUST's GRP University Research Funds.",

year = "2014",

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doi = "10.1016/j.cam.2013.09.027",

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AU - Dong, Hao

AU - Qiao, Zhonghua

AU - Sun, Shuyu

AU - Tang, Tao

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: The research of H. Dong and T. Tang is mainly supported by Hong Kong Research Council GRF Grants and Hong Kong Baptist University FRG grants. The research of Z. Qiao is partially supported by the Hong Kong RGC grant PolyU 2021/12P. S. Sun is partially supported by KAUST's GRP University Research Funds.

PY - 2014/8

Y1 - 2014/8

N2 - In this paper, we present an application of the moving mesh method for approximating numerical solutions of the two-phase flow model in porous media. The numerical schemes combine a mixed finite element method and a finite volume method, which can handle the nonlinearities of the governing equations in an efficient way. The adaptive moving grid method is then used to distribute more grid points near the sharp interfaces, which enables us to obtain accurate numerical solutions with fewer computational resources. The numerical experiments indicate that the proposed moving mesh strategy could be an effective way to approximate two-phase flows in porous media. © 2013 Elsevier B.V. All rights reserved.

AB - In this paper, we present an application of the moving mesh method for approximating numerical solutions of the two-phase flow model in porous media. The numerical schemes combine a mixed finite element method and a finite volume method, which can handle the nonlinearities of the governing equations in an efficient way. The adaptive moving grid method is then used to distribute more grid points near the sharp interfaces, which enables us to obtain accurate numerical solutions with fewer computational resources. The numerical experiments indicate that the proposed moving mesh strategy could be an effective way to approximate two-phase flows in porous media. © 2013 Elsevier B.V. All rights reserved.

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DO - 10.1016/j.cam.2013.09.027

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EP - 150

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

ER -

Adaptive moving grid methods for two-phase flow in porous media

Abstract

Bibliographical note

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