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A highly parallel implicit domain decomposition method for the simulation of the left ventricle on unstructured meshes
Yi Jiang1,2; Rongliang Chen1,2; Xiao-Chuan Cai3
2020-09-07
Source PublicationComputational Mechanics
ISSN0178-7675
Volume66Issue:6Pages:1461-1475
Abstract

We 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
Indexed BySCIE
Language英語English
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000566868700001
Scopus ID2-s2.0-85090314562
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Document TypeJournal article
CollectionFaculty of Science and Technology
Corresponding AuthorRongliang Chen
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
Yi Jiang,Rongliang Chen,Xiao-Chuan Cai. 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 Yi Jiang,Rongliang Chen,&Xiao-Chuan Cai.(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 Yi Jiang,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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