Simulation of blood flow in patient-specific cerebral arteries with a domain decomposition method

Wen Shin Shiu; Zhengzheng Yan; Jia Liu; Rongliang Chen; Feng Nan Hwang; Xiao Chuan Cai

doi:10.1007/978-3-319-52389-7_42

Simulation of blood flow in patient-specific cerebral arteries with a domain decomposition method

Wen Shin Shiu, Zhengzheng Yan, Jia Liu, Rongliang Chen, Feng Nan Hwang, Xiao Chuan Cai

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We simulate blood flow in patient-specific cerebral arteries. The complicated geometry in the human brain makes the problem challenging. We use a fully unstructured three dimensional mesh to cover the artery, and Galerkin/least-squares finite element method to discretize the incompressible Navier-Stokes equations, that are employed to model the blood flow, and the resulting large sparse nonlinear system of equations is solved by a Newton-Krylov-Schwarz algorithm. From the computed flow fields, we are able to understand certain behavior of the blood flow of this particular patient before and after a stenosis is surgically removed. We also report the robustness and parallel performance of the domain decomposition based algorithm.

Original language	English
Title of host publication	Domain Decomposition Methods in Science and Engineering XXIII
Editors	Hyea Hyun Kim, Axel Klawonn, Eun-Jae Park, Chang-Ock Lee, Olof B. Widlund, Xiao-Chuan Cai, David E. Keyes
Publisher	Springer Verlag
Pages	407-415
Number of pages	9
ISBN (Print)	9783319523880
DOIs	https://doi.org/10.1007/978-3-319-52389-7_42
State	Published - 2017
Event	23rd International Conference on Domain Decomposition Methods, DD23 - Jeju Island, Korea, Republic of Duration: 6 Jul 2015 → 10 Jul 2015

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	116
ISSN (Print)	1439-7358

Conference

Conference	23rd International Conference on Domain Decomposition Methods, DD23
Country/Territory	Korea, Republic of
City	Jeju Island
Period	6/07/15 → 10/07/15

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10.1007/978-3-319-52389-7_42

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Shiu, W. S., Yan, Z., Liu, J., Chen, R., Hwang, F. N., & Cai, X. C. (2017). Simulation of blood flow in patient-specific cerebral arteries with a domain decomposition method. In H. H. Kim, A. Klawonn, E.-J. Park, C.-O. Lee, O. B. Widlund, X.-C. Cai, & D. E. Keyes (Eds.), Domain Decomposition Methods in Science and Engineering XXIII (pp. 407-415). (Lecture Notes in Computational Science and Engineering; Vol. 116). Springer Verlag. https://doi.org/10.1007/978-3-319-52389-7_42

Shiu, Wen Shin ; Yan, Zhengzheng ; Liu, Jia et al. / Simulation of blood flow in patient-specific cerebral arteries with a domain decomposition method. Domain Decomposition Methods in Science and Engineering XXIII. editor / Hyea Hyun Kim ; Axel Klawonn ; Eun-Jae Park ; Chang-Ock Lee ; Olof B. Widlund ; Xiao-Chuan Cai ; David E. Keyes. Springer Verlag, 2017. pp. 407-415 (Lecture Notes in Computational Science and Engineering).

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title = "Simulation of blood flow in patient-specific cerebral arteries with a domain decomposition method",

abstract = "We simulate blood flow in patient-specific cerebral arteries. The complicated geometry in the human brain makes the problem challenging. We use a fully unstructured three dimensional mesh to cover the artery, and Galerkin/least-squares finite element method to discretize the incompressible Navier-Stokes equations, that are employed to model the blood flow, and the resulting large sparse nonlinear system of equations is solved by a Newton-Krylov-Schwarz algorithm. From the computed flow fields, we are able to understand certain behavior of the blood flow of this particular patient before and after a stenosis is surgically removed. We also report the robustness and parallel performance of the domain decomposition based algorithm.",

author = "Shiu, {Wen Shin} and Zhengzheng Yan and Jia Liu and Rongliang Chen and Hwang, {Feng Nan} and Cai, {Xiao Chuan}",

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Shiu, WS, Yan, Z, Liu, J, Chen, R, Hwang, FN & Cai, XC 2017, Simulation of blood flow in patient-specific cerebral arteries with a domain decomposition method. in HH Kim, A Klawonn, E-J Park, C-O Lee, OB Widlund, X-C Cai & DE Keyes (eds), Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering, vol. 116, Springer Verlag, pp. 407-415, 23rd International Conference on Domain Decomposition Methods, DD23, Jeju Island, Korea, Republic of, 6/07/15. https://doi.org/10.1007/978-3-319-52389-7_42

Simulation of blood flow in patient-specific cerebral arteries with a domain decomposition method. / Shiu, Wen Shin; Yan, Zhengzheng; Liu, Jia et al.
Domain Decomposition Methods in Science and Engineering XXIII. ed. / Hyea Hyun Kim; Axel Klawonn; Eun-Jae Park; Chang-Ock Lee; Olof B. Widlund; Xiao-Chuan Cai; David E. Keyes. Springer Verlag, 2017. p. 407-415 (Lecture Notes in Computational Science and Engineering; Vol. 116).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Simulation of blood flow in patient-specific cerebral arteries with a domain decomposition method

AU - Shiu, Wen Shin

AU - Yan, Zhengzheng

AU - Liu, Jia

AU - Chen, Rongliang

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AU - Cai, Xiao Chuan

N1 - Publisher Copyright: © Springer International Publishing AG 2017.

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N2 - We simulate blood flow in patient-specific cerebral arteries. The complicated geometry in the human brain makes the problem challenging. We use a fully unstructured three dimensional mesh to cover the artery, and Galerkin/least-squares finite element method to discretize the incompressible Navier-Stokes equations, that are employed to model the blood flow, and the resulting large sparse nonlinear system of equations is solved by a Newton-Krylov-Schwarz algorithm. From the computed flow fields, we are able to understand certain behavior of the blood flow of this particular patient before and after a stenosis is surgically removed. We also report the robustness and parallel performance of the domain decomposition based algorithm.

AB - We simulate blood flow in patient-specific cerebral arteries. The complicated geometry in the human brain makes the problem challenging. We use a fully unstructured three dimensional mesh to cover the artery, and Galerkin/least-squares finite element method to discretize the incompressible Navier-Stokes equations, that are employed to model the blood flow, and the resulting large sparse nonlinear system of equations is solved by a Newton-Krylov-Schwarz algorithm. From the computed flow fields, we are able to understand certain behavior of the blood flow of this particular patient before and after a stenosis is surgically removed. We also report the robustness and parallel performance of the domain decomposition based algorithm.

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Shiu WS, Yan Z, Liu J, Chen R, Hwang FN, Cai XC. Simulation of blood flow in patient-specific cerebral arteries with a domain decomposition method. In Kim HH, Klawonn A, Park EJ, Lee CO, Widlund OB, Cai XC, Keyes DE, editors, Domain Decomposition Methods in Science and Engineering XXIII. Springer Verlag. 2017. p. 407-415. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-319-52389-7_42

Simulation of blood flow in patient-specific cerebral arteries with a domain decomposition method

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