A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows
文献类型：期刊论文
| 作者 | Yang, Jinjin1,5; Mao, Shipeng2 ; He, Xiaoming3; Yang, Xiaofeng4; He, Yinnian1
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| 刊名 | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
 |
| 出版日期 | 2019-11-01 |
| 卷号 | 356页码:435-464 |
| 关键词 | Two-phase MHD flows Diffuse interface models Finite element method Energy stability Semi-implicit scheme |
| ISSN号 | 0045-7825 |
| DOI | 10.1016/j.cma.2019.07.022 |
| 英文摘要 | In this paper, we propose a diffuse interface model and finite element approximation for two-phase magnetohydrodynamic (MHD) flows with different viscosities and electric conductivities. An energy stable scheme, which is based on the finite element method for the spatial discretization and first order semi-implicit scheme combined with convex splitting method for the temporal discretization, is proposed to solve this new model. The numerical scheme is proved to be mass-conservative and energy law preserving. By Leray-Schauder fixed point theorem, the existence of solutions to the numerical scheme is shown. The uniqueness of the numerical solutions is obtained. Utilizing the stability of the numerical scheme and the compactness method, the existence of the weak solutions to the two-phase MHD model is established as well. Furthermore, given more regularity on the weak solution, the convergence of the numerical scheme is derived. Finally, numerical experiments are provided to verify the theoretical results and validate the proposed model. (C) 2019 Published by Elsevier B.V. |
| 资助项目 | NSF, USA[DMS-1818642] ; NSF, USA[DMS-1818783] ; NSF of China[11871467] ; NSF of China[11771348] ; Youth Innovation Promotion Association of CAS[2016003] |
| WOS研究方向 | Engineering ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000485835500017 |
| 出版者 | ELSEVIER SCIENCE SA |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35617]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | He, Xiaoming |
| 作者单位 | 1.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China 2.Univ Chinese Acad Sci, Acad Math & Syst Sci, Chinese Acad Sci, Sch Math Sci,LSEC, Beijing 100190, Peoples R China 3.Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA 4.Univ South Carolina, Dept Math, Columbia, SC 29208 USA 5.Zhengzhou Univ Aeronaut, Sch Math, Zhengzhou 450015, Henan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Jinjin,Mao, Shipeng,He, Xiaoming,et al. A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2019,356:435-464. |
| APA | Yang, Jinjin,Mao, Shipeng,He, Xiaoming,Yang, Xiaofeng,&He, Yinnian.(2019).A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,356,435-464. |
| MLA | Yang, Jinjin,et al."A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 356(2019):435-464. |
入库方式： OAI收割
来源：数学与系统科学研究院
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