TY - JOUR
T1 - Adaptive moving grid methods for two-phase flow in porous media
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.
UR - http://hdl.handle.net/10754/563665
UR - https://linkinghub.elsevier.com/retrieve/pii/S0377042713004822
UR - http://www.scopus.com/inward/record.url?scp=84898004914&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2013.09.027
DO - 10.1016/j.cam.2013.09.027
M3 - Article
SN - 0377-0427
VL - 265
SP - 139
EP - 150
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
ER -