170546
20190528160601.0
doi
10.1016/j.cma.2012.05.017
0045-7825
ISI
000307158800016
ARTICLE
A two-level time step technique for the partitioned solution of one-dimensional arterial networks
2012
Lausanne
Elsevier
2012
15
Journal Articles
In this work a numerical strategy to address the solution of the blood flow in one-dimensional arterial networks through a topology-based decomposition is presented. Such decomposition results in the local analysis of the blood flow in simple arterial segments. Hence, iterative methods are used to perform the strong coupling among the segments, which communicate through non-overlapping interfaces. Specifically, two approaches are considered to solve the associated nonlinear interface problem: (i) the Newton method and (ii) the Broyden method. Moreover, since the modeling of blood flow in compliant vessels is tackled using explicit finite element methods, we formulate the coupling problem using a two-level time stepping technique. A local (inner) time step is used to solve the local problems in single arteries, meeting thus local stability conditions, while a global (outer) time step is employed to enforce the continuity of physical quantities of interest among the one-dimensional segments. Several examples of application are presented. Firstly a study about spurious reflexions produced at interfaces as a consequence of the two-level time stepping technique is carried out. Secondly, the application of the methodologies to physiological scenarios is presented, specifically addressing the solution of the blood flow in a model of the entire arterial network.
One-dimensional model
Arterial network
Wave propagation
Hemodynamics
Geometrical multiscale modeling
Iterative methods
242880
Malossi, Adelmo Cristiano Innocenza
190300
Blanco, Pablo Javier
241667
Deparis, Simone
121157
237-240
212-226
Computer Methods in Applied Mechanics and Engineering
1774967
http://infoscience.epfl.ch/record/170546/files/MalossiBlancoDeparis_TwoLevelTimeStepTechnique.pdf
Publisher's version
Publisher's version
252102
CMCS
U10797
oai:infoscience.tind.io:170546
SB
article
GLOBAL_SET
265782
SCI-SB-SD
U13680
190300
190300
190300
190300
121157
190300
EPFL-ARTICLE-170546
EPFL
REVIEWED
PUBLISHED
ARTICLE