ACTIVE-SET REDUCED-SPACE METHODS WITH NONLINEAR ELIMINATION FOR TWO-PHASE FLOW PROBLEMS IN POROUS MEDIA
文献类型：期刊论文
| 作者 | Yang, HJ ; Yang, C ; Sun, SY |
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2016 |
| 卷号 | 38期号:4页码:B593-B618 |
| 关键词 | two-phase flow variational inequality active-set reduced-space methods nonlinear preconditioners nonlinear elimination parallel computing |
| ISSN号 | 1064-8275 |
| 中文摘要 | Fully implicit methods are drawing more attention in scientific and engineering applications due to the allowance of large time steps in extreme-scale simulations. When using a fully implicit method to solve two-phase flow problems in porous media, one major challenge is the solution of the resultant nonlinear system at each time step. To solve such nonlinear systems, traditional nonlinear iterative methods, such as the class of the Newton methods, often fail to achieve the desired convergent rate due to the high nonlinearity of the system and/or the violation of the boundedness requirement of the saturation. In the paper, we reformulate the two-phase model as a variational inequality that naturally ensures the physical feasibility of the saturation variable. The variational inequality is then solved by an active-set reduced-space method with a nonlinear elimination preconditioner to remove the high nonlinear components that often causes the failure of the nonlinear iteration for convergence. To validate the effectiveness of the proposed method, we compare it with the classical implicit pressure-explicit saturation method for two-phase flow problems with strong heterogeneity. The numerical results show that our nonlinear solver overcomes the often severe limits on the time step associated with existing methods, results in superior convergence performance, and achieves reduction in the total computing time by more than one order of magnitude. |
| 英文摘要 | Fully implicit methods are drawing more attention in scientific and engineering applications due to the allowance of large time steps in extreme-scale simulations. When using a fully implicit method to solve two-phase flow problems in porous media, one major challenge is the solution of the resultant nonlinear system at each time step. To solve such nonlinear systems, traditional nonlinear iterative methods, such as the class of the Newton methods, often fail to achieve the desired convergent rate due to the high nonlinearity of the system and/or the violation of the boundedness requirement of the saturation. In the paper, we reformulate the two-phase model as a variational inequality that naturally ensures the physical feasibility of the saturation variable. The variational inequality is then solved by an active-set reduced-space method with a nonlinear elimination preconditioner to remove the high nonlinear components that often causes the failure of the nonlinear iteration for convergence. To validate the effectiveness of the proposed method, we compare it with the classical implicit pressure-explicit saturation method for two-phase flow problems with strong heterogeneity. The numerical results show that our nonlinear solver overcomes the often severe limits on the time step associated with existing methods, results in superior convergence performance, and achieves reduction in the total computing time by more than one order of magnitude. |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000385283400033 |
| 公开日期 | 2016-12-13 |
| 源URL | [http://ir.iscas.ac.cn/handle/311060/17419]  |
| 专题 | 软件研究所_软件所图书馆_期刊论文 |
| 推荐引用方式 GB/T 7714 | Yang, HJ,Yang, C,Sun, SY. ACTIVE-SET REDUCED-SPACE METHODS WITH NONLINEAR ELIMINATION FOR TWO-PHASE FLOW PROBLEMS IN POROUS MEDIA[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2016,38(4):B593-B618. |
| APA | Yang, HJ,Yang, C,&Sun, SY.(2016).ACTIVE-SET REDUCED-SPACE METHODS WITH NONLINEAR ELIMINATION FOR TWO-PHASE FLOW PROBLEMS IN POROUS MEDIA.SIAM JOURNAL ON SCIENTIFIC COMPUTING,38(4),B593-B618. |
| MLA | Yang, HJ,et al."ACTIVE-SET REDUCED-SPACE METHODS WITH NONLINEAR ELIMINATION FOR TWO-PHASE FLOW PROBLEMS IN POROUS MEDIA".SIAM JOURNAL ON SCIENTIFIC COMPUTING 38.4(2016):B593-B618. |
入库方式： OAI收割
来源：软件研究所
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