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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Y. Bazilevs, M.-C. Hsu, D.J. Benson, S. Sankaran, A.L. Marsden, Computational fluid–structure interaction: methods and application to a total cavopulmonary connection. Comput. Mech. 45, 77–89 (2009)
L. Boussel, V. Rayz, A. Martin, G. Acevedo-Bolton, M.T. Lawton, R. Higashida, W.S. Smith, W.L. Young, D.S. Saloner, Phase-contrast MRI measurements in intracranial aneurysms in vivo of flow patterns, velocity fields, and wall shear stress: comparison with CFD. Magn. Reson. Med. 61, 409–417 (2009)
J.R. Cebral, M.A. Castro, S. Appanaboyina, C.M. Putman, D. Millan, A.F. Frangi, Efficient pipeline for image–based patient–specific analysis of cerebral aneurysm hemodynamics: technique and sensitivity. IEEE Trans. Med. Imaging 24, 457–467 (2005)
L.P. Franca, S.L. Frey, Stabilized finite element methods. II: the incompressible Navier–Stokes equations. Comput. Methods Appl. Mech. Eng. 99, 209–233 (1992)
F.-N. Hwang, C.-Y. Wu, X.-C. Cai, Numerical simulation of three–dimensional blood flows using domain decomposition method on parallel computer. J. Chin. Soc. Mech. Eng. 31, 199–208 (2010)
S.M. Moore, K.T. Moorhead, J.G. Chase, T. David, J. Fink, One–dimensional and three–dimensional model of cerebrovascular flow. Biochem. Eng. J. 127, 440–449 (2005)
K. Takizawa, C. Moorman, S. Wright, J. Purdue, T. McPhail, P.P. Chen, J. Warren, T.E. Tezduyar, Patient–specific arterial fluid–structure interaction modeling of cerebral aneurysms. Int. J. Numer. Meth. Fluids 65, 308–323 (2011)
C.A. Taylor, T.A. Fonte, J.K. Min, Computational fluid dynamics applied to cardiac computed tomography for noninvasive quantification of fracional flow reserve. J. Am. Coll. Cardiol. 61, 2233–2241 (2013)
Y. Wu, X.-C. Cai, A fully implicit domain decomposition based ALE framework for three-dimensional fluid–structure interaction with application in blood flow computation. J. Comput. Phys. 258, 524–537 (2014)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
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: Lee, CO., et al. Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering, vol 116. Springer, Cham. https://doi.org/10.1007/978-3-319-52389-7_42
Download citation
DOI: https://doi.org/10.1007/978-3-319-52389-7_42
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-52388-0
Online ISBN: 978-3-319-52389-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)