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A highly parallel implicit domain decomposition method for the simulation of the left ventricle on unstructured meshes
Jiang,Yi1,2; Chen,Rongliang1,2; Cai,Xiao Chuan3
2020-12-01
Source PublicationComputational Mechanics
ISSN0178-7675
Volume66Issue:6Pages:1461-1475
AbstractWe consider the numerical simulation of the left ventricle of the human heart by a hyperelastic fiber reinforced transversely isotropic model. This is an important model problem for the understanding of the mechanical properties of the human heart but its calculation is very time consuming because the lack of fast, scalable method that is also robust with respect to the model parameters. In this paper, we propose and study a fully implicit overlapping domain decomposition method on unstructured meshes for the discretized system. The algorithm is constructed within the framework of Newton–Krylov methods with an analytically constructed Jacobian. We show numerically that the algorithm is highly parallel and robust with respect to the material parameters, the large deformation, the fiber reinforcement, and the geometry of the patient-specific left ventricle. Numerical experiments show that the algorithm scales well on a supercomputer with more than 8000 processor cores.
KeywordDomain decomposition Fiber-reinforced hyperelasticity Finite element Left ventricle Parallel computing
DOI10.1007/s00466-020-01912-3
URLView the original
Language英语
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Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorChen,Rongliang
Affiliation1.Shenzhen Institutes of Advanced Technology,Chinese Academy of Sciences,Shenzhen,China
2.Shenzhen Key Laboratory for Exascale Engineering and Scientific Computing,Shenzhen,China
3.Department of Mathematics,University of Macau,Macao
Recommended Citation
GB/T 7714
Jiang,Yi,Chen,Rongliang,Cai,Xiao Chuan. A highly parallel implicit domain decomposition method for the simulation of the left ventricle on unstructured meshes[J]. Computational Mechanics,2020,66(6):1461-1475.
APA Jiang,Yi,Chen,Rongliang,&Cai,Xiao Chuan.(2020).A highly parallel implicit domain decomposition method for the simulation of the left ventricle on unstructured meshes.Computational Mechanics,66(6),1461-1475.
MLA Jiang,Yi,et al."A highly parallel implicit domain decomposition method for the simulation of the left ventricle on unstructured meshes".Computational Mechanics 66.6(2020):1461-1475.
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