Unfitted finite element method for fully coupled poroelasticity with stabilization
文献类型：期刊论文
| 作者 | Liu, Zhijun1,2; Zhang, Yimin1,2; Jiang, Yao1,2; Yang, Han1,2; Yang, Yongtao3 |
| 刊名 | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
 |
| 出版日期 | 2022-07-01 |
| 卷号 | 397期号:-页码:- |
| 关键词 | Condition number Ghost penalty Immersed boundary method Nitsche?s method Poroelasticity Unfitted finite element method |
| ISSN号 | 0045-7825 |
| 英文摘要 | The complex geometries of real-world problems pose a considerable challenge to the preprocessing of the standard finite element method (FEM), wherein the mesh conforms to the physical domain. In this regard, an unfitted FEM with the physical domain embedded in a relatively simple mesh can be a promising substitute for the fitted FEM. However, the use of the unfitted FEM for poroelasticity problems with continuous interpolation is seldom reported. Hence, in this study, we propose a symmetric weak formulation based on the modification of Nitsche's method for the numerical computation of fully coupled two-field poroelasticity using the FEM with general unfitted meshes. Furthermore, three stabilization terms based on the ghost penalty method are introduced to address the ill-conditioning caused by the small cut ratio of the physical part of an element to the whole element. Benchmark problems and a geotechnical engineering problem are solved using the proposed methodology. It is numerically demonstrated that the condition number of the coefficient matrix is bounded even when there is a tiny cut ratio. Both the condition numbers and the accuracies remain stable irrespective of how the boundary cuts the mesh. More importantly, optimal convergence rates concerning both space and time are preserved. This study substantially facilitates the numerical computation of poroelasticity problems with complex geometries. (c) 2022 Elsevier B.V. All rights reserved. |
| 学科主题 | Engineering ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000816117000005 |
| 出版者 | ELSEVIER SCIENCE SA |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/35021]  |
| 专题 | 中科院武汉岩土力学所 |
| 作者单位 | 1.College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, Gansu 730000, China 2.Key Laboratory of Mechanics on Disaster and Environment in Western China (Lanzhou University), the Ministry of Education of China, Lanzhou, Gansu 730000, China 3.State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China |
| 推荐引用方式 GB/T 7714 | Liu, Zhijun,Zhang, Yimin,Jiang, Yao,et al. Unfitted finite element method for fully coupled poroelasticity with stabilization[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2022,397(-):-. |
| APA | Liu, Zhijun,Zhang, Yimin,Jiang, Yao,Yang, Han,&Yang, Yongtao.(2022).Unfitted finite element method for fully coupled poroelasticity with stabilization.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,397(-),-. |
| MLA | Liu, Zhijun,et al."Unfitted finite element method for fully coupled poroelasticity with stabilization".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 397.-(2022):-. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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