Nonlinearly preconditioned semismooth Newton methods for variational inequality solution of two-phase flow in porous media

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• 作者：Haijian Yang^a ; ^{haijianyang@gmail.com} ; Shuyu Sun^b ; ^{shuyu.sun@kaust.edu.sa} ; Chao Yang^c ; ^d ; ^{yangchao@iscas.ac.cn}
• 关键词：Two-phase flow ; Fully implicit method ; Variational inequality ; Semismooth Newton method ; Nonlinear preconditioner ; Parallel computing
• 刊名：Journal of Computational Physics
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：332
• 期：Complete
• 页码：1-20
• 全文大小：1392 K
• 卷排序：332

文摘

A variational inequality formulation of two-phase flow problem is proposed. The variational inequality ensures the physical feasibility saturation. A fully implicit method with adaptive dt is applied to achieve high stability. A nonlinear elimination preconditioner is used to accelerate nonlinear solve. Numerical results show the proposed approach is more robust than classical IMPES.