KMS Of Academy of mathematics and systems sciences, CAS
| An advanced ALE-mixed finite element method for a cardiovascular fluid-structure interaction problem with multiple moving interfaces | |
| Sun, Pengtao1; Zhang, Chen-Song2,3; Lan, Rihui1; Li, Lin4 | |
| 2021-03-01 | |
| Source Publication | JOURNAL OF COMPUTATIONAL SCIENCE
 |
| ISSN | 1877-7503 |
| Volume | 50Pages:13 |
| Abstract | 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]. |
| Keyword | 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 |
| DOI | 10.1016/j.jocs.2021.101300 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Computer Science |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Computer Science, Theory & Methods |
| WOS ID | WOS:000697573900004 |
| Publisher | ELSEVIER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59303 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Sun, Pengtao |
| Affiliation | 1.Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA 2.Acad Math & Syst Sci, LSEC, Beijing, Peoples R China 3.Acad Math & Syst Sci, NCMIS, Beijing, Peoples R China 4.Peking Univ, Dept Math, Beijing, Peoples R China |
| Recommended Citation 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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