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Primal mixed solution to unconfined seepage flow in porous media with numerical manifold method
文献类型：期刊论文
| 作者 | Zheng, Hong2; Liu, Feng1; Li, Chunguang1 |
| 刊名 | APPLIED MATHEMATICAL MODELLING
 |
| 出版日期 | 2015 |
| 卷号 | 39期号:2页码:794-808 |
| 关键词 | Unconfined seepage problems Free boundary problems Numerical manifold method Moving least squares interpolation |
| ISSN号 | 0307-904X |
| DOI | 10.1016/j.apm.2014.07.007 |
| 英文摘要 | The major difficulty in the analysis of unconfined flow in porous media is that the free surface is unknown a priori, where the nonlinearity is even stronger than the unsaturated seepage analysis. There is much space for both the adaptive mesh methods and the fixed mesh methods to improve. In this study, firstly two variational principles fitted to the numerical manifold method (NMM) are formulated, each of which enforces the boundary conditions and the material interface continuity conditions. In the setting of the NMM together with the moving least squares (MLS) interpolation, then the discretization models corresponding to the variational formulations are built, which are utilized to locate the free surface and scrutinize the computational results respectively. Meanwhile, a novel approach is developed to update the free surface in iteration. With high accuracy and numerical stability but no need to remesh, the proposed procedure is able to accommodate complicated dam configuration and strong non-homogeneity, where internal seepage faces may develop, a seldom touched problem in the literature. (C) 2014 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Engineering ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000347598900028 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/3683]  |
| 专题 | 岩土力学所知识全产出_期刊论文 国家重点实验室知识产出_期刊论文 |
| 作者单位 | 1.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn 2.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ ; |
| 推荐引用方式 GB/T 7714 | Zheng, Hong,Liu, Feng,Li, Chunguang. Primal mixed solution to unconfined seepage flow in porous media with numerical manifold method[J]. APPLIED MATHEMATICAL MODELLING,2015,39(2):794-808. |
| APA | Zheng, Hong,Liu, Feng,&Li, Chunguang.(2015).Primal mixed solution to unconfined seepage flow in porous media with numerical manifold method.APPLIED MATHEMATICAL MODELLING,39(2),794-808. |
| MLA | Zheng, Hong,et al."Primal mixed solution to unconfined seepage flow in porous media with numerical manifold method".APPLIED MATHEMATICAL MODELLING 39.2(2015):794-808. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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