An advanced ALE-mixed finite element method for a cardiovascular fluid-structure interaction problem with multiple moving interfaces
Sun, Pengtao2; Zhang, Chen-Song3,4; Lan, Rihui2; Li, Lin1
刊名JOURNAL OF COMPUTATIONAL SCIENCE
2021-03-01
卷号50页码:13
关键词Arbitrary Lagrangian-Eulerian (ALE) mapping Mixed finite element method Fluid-structure interaction (FSI) Cardiovascular environment Saddle-point linear algebraic system Multi-domain interface interactions Vascular aneurysm Endovascular stent graft
ISSN号1877-7503
DOI10.1016/j.jocs.2021.101300
英文摘要An advanced arbitrary Lagrangian-Eulerian (ALE) mixed finite element method (FEM) is developed for a cardiovascular fluid-structure interaction (FSI) problem with multiple moving interfaces arising from cardiovascular diseases (CVDs), where the aneurysm on the artery wall and the implanted stent graft are involved as multi-structural domains, interacting with the blood fluid in different regions through multiple moving interfaces. A monolithic, fully discrete ALE-mixed finite element method is well developed to solve the moving multi-interface problem in the cardiovascular environment, where the blood fluid region is divided into two subregions by two structural domains: the artery wall and the stent graft, inducing three moving interfaces amongst them that are interacting with each other due to the motion of the blood fluid. Consequently, a FSIinduced saddle-point linear algebraic system from the developed ALE-FEM, in which velocity variables of both the fluid and the structure are combined, together with the fluid pressure variable, is thus formed and solved by some well developed preconditioned linear solvers. Numerical experiments are carried out for a modified FSI benchmark problem and two realistic cardiovascular problems to demonstrate the effectiveness and the strength of the developed monolithic ALE-mixed finite element method. This paper is a significant extension version of the authors' conference paper (Sun et al., 2020) [1].
资助项目Simons Foundation, USA[MPS-706640] ; National Key Research and Development Program of China[2016YFB0201304] ; National Science Foundation of China[11971472] ; Key Research Program of Frontier Sciences of CAS, China
WOS研究方向Computer Science
语种英语
出版者ELSEVIER
WOS记录号WOS:000697573900004
内容类型期刊论文
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59302]  
专题中国科学院数学与系统科学研究院
通讯作者Sun, Pengtao
作者单位1.Peking Univ, Dept Math, Beijing, Peoples R China
2.Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA
3.Acad Math & Syst Sci, NCMIS, Beijing, Peoples R China
4.Acad Math & Syst Sci, LSEC, Beijing, Peoples R China
推荐引用方式
GB/T 7714
Sun, Pengtao,Zhang, Chen-Song,Lan, Rihui,et al. An advanced ALE-mixed finite element method for a cardiovascular fluid-structure interaction problem with multiple moving interfaces[J]. JOURNAL OF COMPUTATIONAL SCIENCE,2021,50:13.
APA Sun, Pengtao,Zhang, Chen-Song,Lan, Rihui,&Li, Lin.(2021).An advanced ALE-mixed finite element method for a cardiovascular fluid-structure interaction problem with multiple moving interfaces.JOURNAL OF COMPUTATIONAL SCIENCE,50,13.
MLA Sun, Pengtao,et al."An advanced ALE-mixed finite element method for a cardiovascular fluid-structure interaction problem with multiple moving interfaces".JOURNAL OF COMPUTATIONAL SCIENCE 50(2021):13.
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